%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "3.42", %%% date = "11 April 2024", %%% time = "10:10:03 MST", %%% filename = "nummath.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "47827 82924 330568 3447896", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "BibTeX, bibliography, Numerische Mathematik", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a COMPLETE bibliography of %%% publications in the journal Numerische %%% Mathematik (CODEN NUMMA7, ISSN 0029-599X %%% (print), 0945-3245 (electronic)), which begin %%% publishing in 1959. This file covers the %%% years 1959--1999. The companion files %%% nummath20xx.bib cover later decades. %%% %%% There were from three to eight issues per %%% year from 1959 to 1985, and since then, %%% twelve per year. %%% %%% The journal is published by Springer-Verlag. %%% %%% At version 3.42, the year coverage looked %%% like this: %%% %%% 1959 ( 24) 1974 ( 45) 1989 ( 95) %%% 1960 ( 34) 1975 ( 67) 1990 ( 99) %%% 1961 ( 40) 1976 ( 75) 1991 ( 85) %%% 1962 ( 45) 1977 ( 72) 1992 ( 96) %%% 1963 ( 42) 1978 ( 75) 1993 ( 76) %%% 1964 ( 43) 1979 ( 72) 1994 ( 84) %%% 1965 ( 50) 1980 ( 71) 1995 ( 81) %%% 1966 ( 65) 1981 ( 72) 1996 ( 68) %%% 1967 ( 58) 1982 ( 73) 1997 ( 76) %%% 1968 ( 91) 1983 ( 52) 1998 ( 83) %%% 1969 ( 51) 1984 ( 95) 1999 ( 88) %%% 1970 ( 91) 1985 ( 77) 2000 ( 0) %%% 1971 ( 76) 1986 ( 97) 2001 ( 1) %%% 1972 ( 76) 1987 ( 72) 2002 ( 1) %%% 1973 ( 72) 1988 ( 107) %%% %%% Article: 2912 %%% Book: 1 %%% %%% Total entries: 2913 %%% %%% Despite its German title, most of the %%% articles in this journal are in English; only %%% 85 (3%) are in French (including, curiously, %%% one whose title is in English!), and 310 %%% (11%) are in German. English translations %%% are supplied for all of the French and German %%% titles. %%% %%% Cross-references are supplied for all %%% corrigenda and errata, so that citing one %%% will automatically provide citations of the %%% others. %%% %%% The journal has a gopher site at %%% %%% gopher://trick.ntp.springer.de/11/TOC/211/ %%% %%% with tables of contents for 1993--1997, and a %%% World Wide Web site at %%% %%% http://link.springer.com/journal/211 %%% http://link.springer.de/link/service/journals/00211/tocs.htm %%% http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X %%% %%% with tables of contents and abstracts for %%% 1994--2000, and a home page at %%% %%% http://link.springer.de/journals/nummath/ %%% %%% Currently paid-up journal subscribers can %%% obtain access to the full-text electronic %%% edition of the journal in PDF and %%% compressed PostScript formats. For %%% details, visit the World Wide Web site %%% %%% http://science.springer.de/nmee/nm-main.htm. %%% %%% Beginning with Volume 67 Number 1 (1994), %%% URLs pointing to abstracts are included %%% with each entry. Their names are %%% constructed systematically from the volume, %%% number, initial page, and year, so that %%% they can be, and have been, generated %%% automatically by software. However, the %%% publisher's Web site is about a year behind %%% the journal, so not all of the URLs given %%% below are reachable yet. The abstract pages %%% contain further links to the full text which %%% are accessible to qualified subscribers, as %%% noted above. %%% %%% This journal is unusual in that some volumes %%% span two years, some issues are assigned two %%% consecutive issue numbers, and no months were %%% clearly associated with issue numbers until %%% volume 35, number 1, in 1980. [Actually, %%% there WAS a tiny day/month stamp at the %%% bottom of the covers for volumes 14--34, but %%% this bibliography does not yet incorporate %%% that information.] Citations in the journal %%% to papers in the journal normally just give %%% volume, pages, and year data. Volumes 1--13 %%% (1959--1969) had no assigned issue numbers at %%% all, just a volume number. %%% %%% And now for a historical note: Twenty-four of %%% these articles were pre-publications in %%% Numerische Mathematik during the years %%% 1965--1970 of all but five of the chapters of %%% the famous book edited by Wilkinson and %%% Reinsch in 1971, the ``Handbook of Automatic %%% Computation, Volume II, Linear Algebra'', %%% often known as HACLA, or just ``the yellow %%% book''. %%% %%% This may have been the first serious attempt %%% to publish high-quality working numerical %%% software. Although the publication language %%% chosen was Algol 60, the algorithms, %%% sometimes with improvements, were later %%% incorporated as Fortran subroutines in the %%% even-more famous EISPACK (1976) and LINPACK %%% (1979) libraries, and those in turn were %%% merged into the highly-developed LAPACK %%% system, which is available in Fortran and C, %%% and later, the LAPACK++ system in C++. %%% %%% Cross-references to the HACLA book are %%% provided for all those twenty-four articles %%% in the bibliography below. %%% %%% The great success of this software %%% publication certainly provided evidence of %%% the value of such work, and in 1975, the %%% journal ACM Transactions on Mathematical %%% Software was formed to carry on the tradition %%% of HACLA, and the ACM Algorithm collection. A %%% total of 792 high-quality algorithms have %%% been published this way by Spring 1999. %%% %%% The initial draft of entries for 1990--1996 %%% was derived from the OCLC Contents1st %%% database. Additions were then made from all %%% of the bibliographies in the TeX User Group %%% collection, from bibliographies in the %%% author's personal files, from the Compendex %%% databases (1980--1999), from the IEEE INSPEC %%% database (1970--1997), from the MathSciNet %%% database, from the European Mathematical %%% Society (Zentrallblat fuer Mathematik) %%% database, and from the computer science %%% bibliography collection at %%% ftp://ftp.ira.uka.de/pub/bibliography to %%% which many people have contributed. %%% %%% Numerous errors in the sources noted above %%% have been corrected. Spelling has been %%% verified with the UNIX spell and GNU ispell %%% programs using the exception dictionary %%% stored in the companion file with extension %%% .sok. %%% %%% BibTeX citation tags are uniformly chosen %%% as name:year:abbrev, where name is the %%% family name of the first author or editor, %%% year is a 4-digit number, and abbrev is a %%% 3-letter condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted in %%% publication order within each journal, %%% using bibsort -bypages. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== %%% Provide a fallback of Polish ogonok accent to cedilla, and another %%% macro, if necessary @Preamble{ "\ifx \k \undefined \let \k = \c \fi" } %%%===================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|https://www.math.utah.edu/~beebe/|"} @String{ack-sf = "Stefano Foresti, Utah Supercomputing Institute, University of Utah, Salt Lake City, UT 84112, USA, Tel: +1 801 581 3173, FAX: +1 801 585 5366, e-mail: \path|stefano@osiris.usi.utah.edu|"} %%%===================================================================== %%% Journal abbreviations: @String{j-NUM-MATH = "Numerische Mathematik"} %%%===================================================================== %%% Publishers and their addresses: @String{pub-SV = "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} %%%===================================================================== %%% Bibliography entries. @Article{Stiefel:1959:DLT, author = "E. Stiefel", title = "{{\"U}ber diskrete und lineare Tschebyscheff-Approximationen}. ({German}) [{On} Discrete and Linear {Chebyshev} Approximations]", journal = j-NUM-MATH, volume = "1", pages = "1--28", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Householder:1959:CME, author = "Alston S. Householder and Friedrich L. Bauer", title = "On Certain Methods for Expanding the Characteristic Polynomial", journal = j-NUM-MATH, volume = "1", pages = "29--37", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:40:54 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "characteristic polynomial; eig; nla", } @Article{Weisfeld:1959:OPS, author = "M. Weisfeld", title = "Orthogonal polynomials in several variables", journal = j-NUM-MATH, volume = "1", pages = "38--40", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Perlis:1959:RAL, author = "A. J. Perlis and K. Samelson", title = "Report on the algorithmic language {ALGOL} by the {ACM} committee on programming languages and the {GAMM} committee on programming", journal = j-NUM-MATH, volume = "1", pages = "41--60", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Collatz:1959:ELR, author = "Lothar Collatz and J. Schroeder", title = "{Einschlie{\ss}en der L{\"o}sungen von Randwertaufgaben}. ({German}) [{Bracketing} Solutions to Boundary Value Problems]", journal = j-NUM-MATH, volume = "1", pages = "61--72", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Dueck:1959:FEL, author = "W. Dueck", title = "{Eine Fehlerabsch{\"a}tzung zum Einzelschrittverfahren bei linearen Gleichungssystemen}. ({German}) [{An} Error Bound for the Independent Step Method in Linear Equation Systems]", journal = j-NUM-MATH, volume = "1", pages = "73--77", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Kreyszig:1959:RUE, author = "Erwin Kreyszig and John Todd", title = "The radius of univalence of the error function", journal = j-NUM-MATH, volume = "1", pages = "78--89", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Comet:1959:UAB, author = "Stig Com{\'e}t", title = "{{\"U}ber die Anwendung von Bin{\"a}rmodellen in der Theorie der Charaktere der symmetrischen Gruppen}. ({German}) [{On} the use of the Binary Model in the Theory of Characters of Symmetric Groups]", journal = j-NUM-MATH, volume = "1", pages = "90--109", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Walther:1959:NBG, author = "A. Walther and H. Schappert", title = "{Numerische Behandlung des Gelenkvierecks}. ({German}) [{Numerical} Treatment of General Quadrilaterals]", journal = j-NUM-MATH, volume = "1", pages = "110--120", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Cohn:1959:NSR, author = "Harvey Cohn", title = "Numerical study of the representation of a totally positive quadratic integer as the sum of quadratic integral squares", journal = j-NUM-MATH, volume = "1", pages = "121--134", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bertram:1959:VFR, author = "G. Bertram", title = "{Versch{\"a}rfung einer Fehlerabsch{\"a}tzung zum Ritz--Galerkinschen Verfahren von Kryloff f{\"u}r Randwertaufgaben}. ({German}) [{Tightening} of an Error Bound for the {Ritz--Galerkin} Method for {Krylov} Boundary Value Problems]", journal = j-NUM-MATH, volume = "1", pages = "135--141", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See correction \cite{Bertram:1960:BMA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Wynn:1959:PEC, author = "P. Wynn", title = "On the propagation of error in certain non-linear algorithms", journal = j-NUM-MATH, volume = "1", pages = "142--149", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wilkinson:1959:EZIa, author = "J. H. Wilkinson", title = "The evaluation of the zeros of ill-conditioned polynomials. {I}", journal = j-NUM-MATH, volume = "1", pages = "150--166", month = dec, year = "1959", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386381", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wilkinson:1959:EZIb, author = "J. H. Wilkinson", title = "The evaluation of the zeros of ill-conditioned polynomials. {II}", journal = j-NUM-MATH, volume = "1", pages = "167--180", month = dec, year = "1959", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386382", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bertram:1959:FGS, author = "G. Bertram", title = "{Eine Fehlerabsch{\"a}tzung f{\"u}r gewisse selbstadjungierte, gew{\"o}hnliche Randwertaufgaben}. ({German}) [{An} error estimate for certain adjoint ordinary boundary value problems]", journal = j-NUM-MATH, volume = "1", number = "1", pages = "181--185", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=181", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Kreiss:1959:DHG, author = "Heinz-Otto Kreiss", title = "{{\"U}ber die Differenzapproximation hoher Genauigkeit bei Anfangswertproblemen f{\"u}r partielle Differentialgleichungen}. ({German}) [On the difference approximation of higher accuracy with initial value problems for partial differential equations]", journal = j-NUM-MATH, volume = "1", number = "1", pages = "186--202", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=186", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Wynn:1959:SCI, author = "P. Wynn", title = "A sufficient condition for the instability of the q-d algorithm", journal = j-NUM-MATH, volume = "1", number = "1", pages = "203--207", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=203", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bauer:1959:NFT, author = "F. L. Bauer and H. J. Stetter", title = "{Zur numerischen Fourier--Transformation}. ({German}) [{The} numerical {Fourier} transform]", journal = j-NUM-MATH, volume = "1", number = "1", pages = "208--220", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=208", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Sikkema:1959:GAB, author = "P. C. Sikkema", title = "{\"U}ber den {Grad} der {Approximation} mit {Bernstein--Polynomen}. ({German}) [{On} the degree of approximation with {Bernstein} polynomials]", journal = j-NUM-MATH, volume = "1", number = "1", pages = "221--239", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=221", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Parter:1959:SLI, author = "Seymour V. Parter", title = "On ``two-line'' iterative methods for the {Laplace} and biharmonic difference equations", journal = j-NUM-MATH, volume = "1", number = "1", pages = "240--252", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=240", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cheney:1959:NMC, author = "E. W. Cheney and A. A. Goldstein", title = "{Newton}'s method for convex programming and {Tchebycheff} approximation", journal = j-NUM-MATH, volume = "1", number = "1", pages = "253--268", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=253", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dijkstra:1959:NTP, author = "E. W. Dijkstra", title = "A note on two problems in connexion with graphs", journal = j-NUM-MATH, volume = "1", number = "1", pages = "269--271", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=269", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wynn:1959:CFCa, author = "P. Wynn", title = "Converging factors for continued fractions. {Part I}", journal = j-NUM-MATH, volume = "1", number = "1", pages = "272--307", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=272", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wynn:1959:CFCb, author = "P. Wynn", title = "Converging factors for continued fractions. {Part II}", journal = j-NUM-MATH, volume = "1", number = "1", pages = "308--320", month = dec, year = "1959", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:01 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=1&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=1&issue=1&spage=308", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stiefel:1960:NJE, author = "E. Stiefel", title = "Note on {Jordan} elimination, linear programming and {Tchebyscheff} approximation", journal = j-NUM-MATH, volume = "2", number = "1", pages = "1--17", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wetterling:1960:EKB, author = "W. Wetterling", title = "{Zum Einschlie{\ss}ungssatz von Kryloff-Bogoliubov f{\"u}r allgemeine Eigenwertaufgaben bei gew{\"o}hnlichen Differentialgleichungen}. ({German}) [{An} enclosure theorem of {Kryloff-Bogoliubov} for ordinary eigenvalue problems in ordinary differential equations]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "18--21", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Feb 22 18:37:37 2001", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Kato:1960:EIM, author = "Tosio Kato", title = "Estimation of Iterated Matrices, with Application to the {von Neumann} Condition", journal = j-NUM-MATH, volume = "2", number = "1", pages = "22--29", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hull:1960:NME, author = "T. E. Hull and W. A. J. Luxemburg", title = "Numerical methods and existence theorems for ordinary differential equations", journal = j-NUM-MATH, volume = "2", number = "1", pages = "30--41", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bauer:1960:MCR, author = "F. L. Bauer and A. S. Householder", title = "Moments and Characteristic Roots", journal = j-NUM-MATH, volume = "2", number = "1", pages = "42--53", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; la; pert", } @Article{Bertram:1960:BMA, author = "G. Bertram", title = "{Berichtigung zu meinen Arbeit ,,Versch{\"a}rfung einer Fehlerabsch{\"a}tzung \ldots{} [Num. Math. {\bf 1}, 135--141 (1959)]}. ({German}) [{Correction} to my Paper ``{Tightening} of an Error Bound \ldots{}'']", journal = j-NUM-MATH, volume = "2", number = "1", pages = "54--54", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Bertram:1959:VFR}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Householder:1960:CIM, author = "A. S. Householder and F. L. Bauer", title = "On Certain Iterative Methods for Solving Linear Systems", journal = j-NUM-MATH, volume = "2", number = "1", pages = "55--59", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iter; linear system; nla", } @Article{Lehmann:1960:FRV, author = "N. J. Lehmann", title = "{Eine Fehlerabsch{\"a}tzung zum Ritzschen Verfahren f{\"u}r inhomogene Randwertaufgaben}. ({German}) [{An} Error Bound for the {Ritz} Method for Inhomogeneous Boundary Value Problems]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "60--66", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Causey:1960:CAE, author = "Robert L. Causey and Peter Henrici", title = "Convergence of approximate eigenvectors in {Jacobi} methods", journal = j-NUM-MATH, volume = "2", number = "1", pages = "67--78", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Borsch-Supan:1960:BFB, author = "W. B{\"o}rsch-Supan", title = "{Bemerkungen zur Fehlerabsch{\"a}tzung beim Ritz--Galerkin-Verfahren nach Krylow}. ({German}) [{Remark} on the Error Bounds of the {Ritz--Galerkin} Method of {Krylov}]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "79--83", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Halton:1960:ECQ, author = "J. H. Halton", title = "On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals", journal = j-NUM-MATH, volume = "2", number = "1", pages = "84--90", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See correction \cite{Halton:1960:BEC}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Douglas:1960:NMS, author = "Jim Douglas", title = "A numerical method for the solution of a parabolic system", journal = j-NUM-MATH, volume = "2", number = "1", pages = "91--98", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Veidinger:1960:NDB, author = "L. Veidinger", title = "On the numerical determination of the best approximations in the {Chebyshev} sense", journal = j-NUM-MATH, volume = "2", number = "1", pages = "99--105", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Backus:1960:RAL, author = "J. W. Backus and F. L. Bauer and J. Green and C. Katz and J. McCarthy and P. Naur and A. J. Perlis and H. Rutishauser and K. Samelson and B. Vauquois and J. H. Wegstein and A. van Wijngaarden and M. Woodger", title = "Report on the algorithmic language {Algol 60}", journal = j-NUM-MATH, volume = "2", number = "1", pages = "106--136", month = dec, year = "1960", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386216", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "https://link.springer.com/article/10.1007/BF01386216", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", xxauthor = "Peter Naur and J. W. Backus and F. L. Bauer and J. Green and C. Katz and J. MacCarthy and A. J. Perlis and H. Rutishauser and K. Samelson and B. Vauquois and J. H. Wegstein and A. van Wijngaarden and M. Woodger", } @Article{Bauer:1960:NET, author = "F. L. Bauer and C. T. Fike", title = "Norms and Exclusion Theorems", journal = j-NUM-MATH, volume = "2", number = "1", pages = "137--141", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; la; norm; pert", } @Article{Maehly:1960:TAKa, author = "H. Maehly and Ch. Witzgall", title = "{Tschebyscheff-Approximationen in kleinen Intervallen. I}. ({German}) [{Chebyshev} Approximations in Small Intervals. {I}]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "142--150", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Freud:1960:NK, author = "G. Freud", title = "Nachtrag bei der {Korrektur}. ({German}) [{Supplement} with correction]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "150--150", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:03 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=150", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Wynn:1960:UIA, author = "Peter Wynn", title = "{{\"U}ber einen Interpolations-Algorithmus und gewisse andere Formeln, die in der Theorie der Interpolation durch rationale Funktionen bestehen}. ({German}) [{On} interpolation algorithms and certain other formulas existing in the interpolations theory by rational functions]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "151--182", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Brakhage:1960:UNB, author = "H. Brakhage", title = "{{\"U}ber die numerische Behandlung von Integralgleichungen nach der Quadraturformelmethode}. ({German}) [{On} the Numerical Treatment of Integral Equations for the Quadrature Formula Method]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "183--196", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Halton:1960:BEC, author = "J. H. Halton", title = "{Berichtigung: ``On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals'' [Num. Math. {\bf 2}, 84--90 (1960)]}. ({German}) [{Correction}]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "196--196", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Halton:1960:ECQ}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German, English", } @Article{Clenshaw:1960:MNI, author = "C. W. Clenshaw and A. R. Curtis", title = "A method for numerical integration on an automatic computer", journal = j-NUM-MATH, volume = "2", number = "1", pages = "197--205", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Esseen:1960:UAB, author = "C. G. Esseen", title = "{{\"U}ber die asymptotisch beste Approximation stetiger Funktionen mit Hilfe von Bernstein-Polynomen}. ({German}) [{On} the Asymptotically Best Approximation of Continuous Functions with the Aid of {Berstein} Polynomials]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "206--213", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Salzer:1960:OPN, author = "Herbert E. Salzer", title = "Optimal points for numerical differentiation", journal = j-NUM-MATH, volume = "2", number = "1", pages = "214--227", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Magnus:1960:ZHF, author = "Wilhelm Magnus and Leon Kotin", title = "The zeros of the {Hankel} function as a function of its order", journal = j-NUM-MATH, volume = "2", number = "1", pages = "228--244", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Albrecht:1960:ASP, author = "Rudolf F. Albrecht", title = "Approximation to the solution of partial differential-equations by the solution of ordinary differential-equations", journal = j-NUM-MATH, volume = "2", number = "1", pages = "245--262", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rutishauser:1960:BNI, author = "Heinz Rutishauser", title = "{Bemerkungen zur numerischen Integration gew{\"o}hnlicher Differentialgleichungen $n$-ter Ordnung}. ({German}) [{Remark} on the Numerical Integration of $n$-th Order Ordinary Differential Equations]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "263--279", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Neubuser:1960:UUE, author = "J. Neub{\"u}ser", title = "{Untersuchungen des Untergruppenverbandes endlicher Gruppen auf einer programmgesteuerten elektronischen Dualmaschine}. ({German}) [{Investigation} of Subroup Units of Finite Groups with a Programmable Electronic Dual Machine]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "280--292", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Maehly:1960:TAKb, author = "H. Maehly and Ch. Witzgall", title = "{Tschebyscheff-Approximationen in kleinen Intervallen. {II}: Stetigkeitss{\"a}tze f{\"u}r gebrochen rationale Approximationen}. ({German}) [{Chebyshev} Approximations in Small Intervals. {II}. Stability Conditions for Broken Rational Approximations]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "293--307", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bauer:1960:SII, author = "F. L. Bauer and A. S. Householder", title = "Some inequalities involving the {Euclidean} condition of a matrix", journal = j-NUM-MATH, volume = "2", number = "1", pages = "308--311", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dijkstra:1960:RP, author = "E. W. Dijkstra", title = "Recursive programming", journal = j-NUM-MATH, volume = "2", number = "1", pages = "312--318", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wilkinson:1960:EAF, author = "J. H. Wilkinson", title = "Error Analysis of Floating-Point Computation", journal = j-NUM-MATH, volume = "2", number = "1", pages = "319--340", month = dec, year = "1960", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386233", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.00", MRnumber = "MR0116477 (22 \#7264)", MRreviewer = "C. B. Haselgrove", bibdate = "Fri May 14 17:18:08 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "https://link.springer.com/article/10.1007/BF01386233", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Haas:1960:BEA, author = "Hans-Lothar Haas", title = "{Bestimmung der Eigenwerte des allgemeinen Eigenwertproblems}. ({German}) [{Determination} of the eigenvalues of the general eigenvalue problem]", journal = j-NUM-MATH, volume = "2", number = "1", pages = "341--343", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:03 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=341", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Schopf:1960:KI, author = "Andreas H. Schopf", title = "On the {Kantorovich} inequality", journal = j-NUM-MATH, volume = "2", number = "1", pages = "344--346", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:03 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=344", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cohn:1960:NSW, author = "Harvey Cohn", title = "A numerical study of {Weber}'s real class number calculation. {Part I}", journal = j-NUM-MATH, volume = "2", number = "1", pages = "347--362", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:03 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=2&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=2&issue=1&spage=347", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lehmann:1961:INR, author = "N. J. Lehmann", title = "{Das inhomogene nat{\"u}rliche Randwertproblem und Fehlerabsch{\"a}tzungen f{\"u}r N{\"a}herungsl{\"o}sungen}. ({German}) [{The} Inhomogeneous Natural Boundary Value Problem and Error Bounds for Approximate Solution]", journal = j-NUM-MATH, volume = "3", pages = "1--29", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Schafke:1961:VBC, author = "Friedrich Wilhelm Sch{\"a}fke", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung. I}. ({German}) [{A} Method for Calculation of Characteristic Exponents of the {Mathiew} Differential Equation. {I}]", journal = j-NUM-MATH, volume = "3", pages = "30--38", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Schroder:1961:FRG, author = "Johann Schr{\"o}der", title = "{Fehlerabsch{\"a}tzung mit Rechenanlagen bei gew{\"o}nlichen Differentialgleichungen erster Ordnung}. ({German}) [{Computational} error bounds for first-order ordinary differential equations]", journal = j-NUM-MATH, volume = "3", pages = "39--61", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:44:54 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Schonhage:1961:FIG, author = "A. Sch{\"o}nhage", title = "{Fehlerfortpflanzung bei Interpolation}. ({German}) [{Error} Transmission in Interpolation]", journal = j-NUM-MATH, volume = "3", pages = "62--71", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Cheney:1961:TNA, author = "E. W. Cheney and H. L. Loeb", title = "Two new algorithms for rational approximation", journal = j-NUM-MATH, volume = "3", number = "1", pages = "72--75", month = dec, year = "1961", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386002", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Luke:1961:RUF, author = "Yudell L. Luke", title = "The radius of univalence of the function exp $z^2 \int_0^z$ exp $(-t^2) dt$", journal = j-NUM-MATH, volume = "3", pages = "76--78", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Karst:1961:FMZ, author = "E. Karst", title = "{Faktorenzerlegung Mersennescher Zahlen mittels programmgesteuerter Rechenger{\"a}te}. ({German}) [{Factorization} of {Mersenne} Numbers with Programmable Computers]", journal = j-NUM-MATH, volume = "3", pages = "79--86", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Kjellberg:1961:SRM, author = "G{\"o}ran Kjellberg", title = "On the successive over-relaxation method for cyclic operators", journal = j-NUM-MATH, volume = "3", pages = "87--91", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Douglas:1961:ADI, author = "J. {Douglas, Jr.}", title = "Alternating direction iteration for mildly nonlinear elliptic difference equations", journal = j-NUM-MATH, volume = "3", pages = "92--98", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See correction \cite{Douglas:1962:CMP}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Collatz:1961:MEB, author = "Lothar Collatz", title = "{Monotonie und Extremalprinzipien beim Newtonschen Verfahren}. ({German}) [{Monotonicty} and Extremal Principles of {Newton} Methods]", journal = j-NUM-MATH, volume = "3", pages = "99--106", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Sikkema:1961:WEK, author = "P. C. Sikkema", title = "{Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen.}. ({German}) [{The} Value of Some Constants in the Approximation Theory for {Bernstein} Polynomials]", journal = j-NUM-MATH, volume = "3", pages = "107--116", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bauer:1961:FGK, author = "F. L. Bauer", title = "A further generalization of the {Kantorovic} inequality", journal = j-NUM-MATH, volume = "3", pages = "117--119", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Salzer:1961:SEB, author = "Herbert E. Salzer", title = "Some extensions of {Bairstow}'s method", journal = j-NUM-MATH, volume = "3", pages = "120--124", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schroder:1961:VFG, author = "Johann Schr{\"o}der", title = "{Verbesserung einer Fehlerabsch{\"a}tzung f{\"u}r gew{\"o}hnliche Differentialgleichungen erster Ordnung}. ({German}) [{Improvement} of error bounds for first-order ordinary differential equations]", journal = j-NUM-MATH, volume = "3", pages = "125--130", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:45:02 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Albrecht:1961:DNL, author = "Rudolf Albrecht and Wolfram Ulrich", title = "{Ein Differenzenverfahren zur n{\"a}herungsweisen L{\"o}sung des Anfangswertproblems f{\"u}r Systeme halblinearer partieller Differentialgleichungen. 1. Ordnung}. ({German}) [{A} Difference Equation for Approximate Solution of Initial Value Problems for Half-Linear Partial Differential Equations. 1. {Order}]", journal = j-NUM-MATH, volume = "3", pages = "131--146", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Golub:1961:CSIa, author = "Gene H. Golub and Richard S. Varga", title = "{Chebyshev} Semi-Iterative Methods, Successive Overrelaxation Iterative Methods, and Second Order {Richardson} Iterative Methods. {I}", journal = j-NUM-MATH, volume = "3", pages = "147--156", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.35", MRnumber = "26\#3207", MRreviewer = "J. R. Cannon", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/gvl.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iter; nla; relaxation; Richardson's method; semi-iterative method", } @Article{Golub:1961:CSIb, author = "Gene H. Golub and Richard S. Varga", title = "{Chebyshev} Semi-Iterative Methods, Successive Overrelaxation Iterative Methods, and Second Order {Richardson} Iterative Methods. {II}", journal = j-NUM-MATH, volume = "3", pages = "157--168", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.35", MRnumber = "26\#3208", MRreviewer = "J. R. Cannon", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/gvl.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iter; nla; relaxation; Richardson's method; semi-iterative method", } @Article{Hsu:1961:NNI, author = "L. C. Hsu", title = "Note on the numerical integration of periodic functions and of partially periodic functions", journal = j-NUM-MATH, volume = "3", pages = "169--173", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brakhage:1961:FNE, author = "H. Brakhage", title = "{Zur Fehlerabsch{\"a}tzung f{\"u}r die numerische Eigenwertbestimmung bei Integralgleichungen}. ({German}) [{Toward} Error Bounds for Numerical Eigenvalue Determination in Integral Equations]", journal = j-NUM-MATH, volume = "3", pages = "174--179", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Descloux:1961:DAT, author = "J. Descloux", title = "{D}{\'e}g{\'e}n{\'e}rescence dans les approximations de {Tschebyscheff} lin{\'e}aires et discr{\`e}tes. ({French}) [{Degeneration} in Linear and Discrete {Chebyshev} Approximations]", journal = j-NUM-MATH, volume = "3", pages = "180--187", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Albrecht:1961:FRN, author = "J. Albrecht", title = "{Fehlerabsch{\"a}tzungen bei Relaxationsverfahren zur numerischen Aufl{\"o}sung linearer Gleichungssysteme}. ({German}) [{Error} Bounds for the Relaxation Method for Numerical Solution of Linear Equation Systems]", journal = j-NUM-MATH, volume = "3", pages = "188--201", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Blum:1961:SPE, author = "M. Blum", title = "A stagewise parameter estimation procedure for correlated data", journal = j-NUM-MATH, volume = "3", pages = "202--208", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bergman:1961:AMK, author = "Stefan Bergman and John G. Herriot", title = "Application of the method of the kernel function for solving boundary- value problems", journal = j-NUM-MATH, volume = "3", pages = "209--225", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lauchli:1961:JEA, author = "Peter L{\"a}uchli", title = "{Jordan-Elimination und Ausgleichung nach kleinsten Quadraten}. ({German}) [{Jordan} elimination and balancing using least squares]", journal = j-NUM-MATH, volume = "3", pages = "226--240", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Feb 13 07:28:41 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bauer:1961:ANC, author = "F. L. Bauer and A. S. Householder", title = "Absolute norms and characteristic roots", journal = j-NUM-MATH, volume = "3", pages = "241--246", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Fisser:1961:STA, author = "H. Fisser", title = "Some tests applied to pseudo-random numbers generated by {v. H{\"o}rner}'s rule", journal = j-NUM-MATH, volume = "3", pages = "247--249", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Felsch:1961:PRG, author = "H. Felsch", title = "{Programmierung der Restklassenabz{\"a}hlung einer Gruppe nach Untergruppen}. ({German}) [{Programming} of Residue Classes of a Group via its Subgroups]", journal = j-NUM-MATH, volume = "3", pages = "250--256", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bauer:1961:AMN, author = "F. L. Bauer and J. Stoer and C. Witzgall", title = "Absolute and Monotonic Norms", journal = j-NUM-MATH, volume = "3", pages = "257--264", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Liniger:1961:MDH, author = "Werner Liniger", title = "On a Method by {D. H. Lehmer} for the Generation of Pseudo Random Numbers", journal = j-NUM-MATH, volume = "3", pages = "265--270", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:29:06 2010", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Neubuser:1961:BUE, author = "J. Neub{\"u}ser", title = "{Bestimmung der Untergruppenverb{\"a}nde endlicher $p$-Gruppen auf einer programmgesteuerten elektronischen Dualmaschine}. ({German}) [{Determination} of subgroups of finite $p$-groups on a program-controlled electronic {Dual} machine]", journal = j-NUM-MATH, volume = "3", number = "1", pages = "271--278", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=271", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Chakravarti:1961:TEI, author = "P. C. Chakravarti", title = "Truncation error in interpolation and numerical differentiation", journal = j-NUM-MATH, volume = "3", number = "1", pages = "279--284", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=279", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stoer:1961:ZAI, author = "Josef Stoer", title = "{{\"U}ber zwei Algorithmen zur Interpolation mit rationalen Funktionen}. ({German}) [{On} two algorithms for interpolation with rational functions]", journal = j-NUM-MATH, volume = "3", number = "1", pages = "285--304", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=285", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Parter:1961:SLI, author = "Seymour V. Parter", title = "``Multi-line'' iterative methods for elliptic difference equations and fundamental frequencies", journal = j-NUM-MATH, volume = "3", number = "1", pages = "305--319", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=305", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Salzer:1961:SEBb, author = "Herbert E. Salzer and R. Zurm{\"u}hl", title = "Some extensions of {Bairstow}'s method", journal = j-NUM-MATH, volume = "3", number = "1", pages = "320--320", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=320", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stetter:1961:CCF, author = "Hans J. Stetter", title = "On the convergence of characteristic finite-difference methods of high accuracy for quasi-linear hyperbolic equations", journal = j-NUM-MATH, volume = "3", number = "1", pages = "321--344", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=321", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Albrecht:1961:MII, author = "J. Albrecht", title = "{Monotone Iterationsfolgen und ihre Verwendung zur L{\"o}sung linearer Gleichungssysteme}. ({German}) [Monotonic iteration sequences and their use in solving sets of linear equations]", journal = j-NUM-MATH, volume = "3", number = "1", pages = "345--358", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=345", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Wilson:1961:DDP, author = "Walter L. Wilson", title = "On discrete {Dirichlet} and plateau problems", journal = j-NUM-MATH, volume = "3", number = "1", pages = "359--373", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=359", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schonhage:1961:KJV, author = "A. Sch{\"o}nhage", title = "{Zur Konvergenz des Jacobi--Verfahrens}. ({German}) [{On} the convergence of the {Jacobi} method]", journal = j-NUM-MATH, volume = "3", number = "1", pages = "374--380", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=374", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Gautschi:1961:NIO, author = "Walter Gautschi", title = "Numerical integration of ordinary differential equations based on trigonometric polynomials", journal = j-NUM-MATH, volume = "3", number = "1", pages = "381--397", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=381", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lees:1961:ADS, author = "Milton Lees", title = "Alternating direction and semi-explicit difference methods for parabolic partial differential equations", journal = j-NUM-MATH, volume = "3", number = "1", pages = "398--412", month = dec, year = "1961", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:06 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=398", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schafke:1962:VBC, author = "Friedrich Wilhelm Sch{\"a}fke and Rudolf Ebert and Helmut Groh", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung. II}. ({German}) [{A} Method for Calculation of Characteristic Exponents of the {Mathiew} Differential Equation. {II}]", journal = j-NUM-MATH, volume = "4", pages = "1--7", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Wynn:1962:CTN, author = "P. Wynn", title = "A comparison technique for the numerical transformation of slowly convergent series based on the use of rational functions", journal = j-NUM-MATH, volume = "4", pages = "8--14", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schneider:1962:CTS, author = "Hans Schneider and W. Gilbert Strang", title = "Comparison Theorems for Supremum Norms", journal = j-NUM-MATH, volume = "4", pages = "15--20", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Treuenfels:1962:SLR, author = "P. Treuenfels", title = "{Schranken f{\"u}r L{\"o}sungen von Randwertaufgaben}. ({German}) [{Bounds} for Solution of Boundary Value Problems]", journal = j-NUM-MATH, volume = "4", pages = "21--23", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Henrici:1962:BII, author = "Peter Henrici", title = "Bounds for Iterates, Inverses, Spectral Variation and Fields of Values of Non-Normal Matrices", journal = j-NUM-MATH, volume = "4", pages = "24--39", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; field of values; inverse matrix; la; nonnormal matrix; pert", } @Article{Douglas:1962:ADM, author = "Jim {Douglas, Jr.}", title = "Alternating direction methods for three space variables", journal = j-NUM-MATH, volume = "4", pages = "41--63", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schafke:1962:BEM, author = "F. W. Sch{\"a}fke and H. Groh", title = "{Zur Berechnung der Eigenwerte der Mathieuschen Differentialgleichung}. ({German}) [{Toward} Computation of Eigenvalues of the {Mathieu} Differential Equation]", journal = j-NUM-MATH, volume = "4", pages = "64--67", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Richtmyer:1962:CFE, author = "R. D. Richtmyer and Marjorie Devaney and N. Metropolis", title = "Continued fraction expansions of algebraic numbers", journal = j-NUM-MATH, volume = "4", pages = "68--84", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Frank:1962:CFEa, author = "E. Frank", title = "On continued fraction expansions for binomial quadratic surds", journal = j-NUM-MATH, volume = "4", pages = "85--95", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Douglas:1962:NMI, author = "J. {Douglas, Jr.} and B. F. {Jones, Jr.}", title = "Numerical methods for integrodifferential equations of parabolic and hyperbolic types", journal = j-NUM-MATH, volume = "4", pages = "96--102", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bauer:1962:FVS, author = "F. L. Bauer", title = "On the field of values subordinate to a norm", journal = j-NUM-MATH, volume = "4", pages = "103--113", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stone:1962:BPR, author = "Betty Jane Stone", title = "Best Possible Ratios of Certain Matrix Norms", journal = j-NUM-MATH, volume = "4", pages = "114--116", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 19 15:23:15 GMT 1995", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gautschi:1962:IVC, author = "Walter Gautschi", title = "On Inverses of {Vandermonde} and Confluent {Vandermonde} Matrices", journal = j-NUM-MATH, volume = "4", pages = "117--123", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cheney:1962:RCA, author = "E. W. Cheney and H. L. Loeb", title = "On rational {Chebyshev} approximation", journal = j-NUM-MATH, volume = "4", pages = "124--127", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Harary:1962:GTA, author = "Frank Harary", title = "A graph theoretic approach to matrix inversion by partitioning", journal = j-NUM-MATH, volume = "4", pages = "128--135", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Morimoto:1962:SWE, author = "Hirofumi Morimoto", title = "Stability in the wave equation coupled with heat flow", journal = j-NUM-MATH, volume = "4", pages = "136--145", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Goldstein:1962:CMM, author = "A. A. Goldstein", title = "{Cauchy}'s method of minimization", journal = j-NUM-MATH, volume = "4", pages = "146--150", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lindenberg:1962:UDG, author = "Wolfgang Lindenberg", title = "{{\"U}ber eine Darstellung von Gruppenelementen in digitalen Rechenautomaten}. ({German}) [{On} a representation of group elements in computers]", journal = j-NUM-MATH, volume = "4", pages = "151--153", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Werner:1962:SDT, author = "Helmut Werner", title = "{Ein Satz {\"u}ber diskete Tschebyscheff-Approximation bei gebrochen linearer Funktionen}. ({German}) [{A} proposition on the discrete {Chebyshev} approximation of broken linear functions]", journal = j-NUM-MATH, volume = "4", pages = "154--157", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:45:51 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Stoer:1962:TDM, author = "J. Stoer and C. Witzgall", title = "Transformations by Diagonal Matrices in a Normed Space", journal = j-NUM-MATH, volume = "4", pages = "158--171", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Pearcy:1962:CAD, author = "C. Pearcy", title = "On convergence of alternating direction procedures", journal = j-NUM-MATH, volume = "4", pages = "172--176", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Buck:1962:SA, author = "R. C. Buck", title = "Stochastic ascent", journal = j-NUM-MATH, volume = "4", pages = "177--186", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Greenstadt:1962:SNE, author = "John Greenstadt", title = "Some numerical experiments in triangularizing matrices", journal = j-NUM-MATH, volume = "4", pages = "187--195", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Albrecht:1962:FKM, author = "Julius Albrecht", title = "{Fehlerschranken und Konvergenzbeschleunigung bei einer monotonen oder alternierenden Iterationsfolge}. ({German}) [{Error} Bounds and Convergence Acceleration with a Monotone or Alternating Iteration Sequence]", journal = j-NUM-MATH, volume = "4", pages = "196--208", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Chow:1962:SLE, author = "Tse-Sun Chow and Harold W. Milnes", title = "Solution of {Laplace}'s equation by boundary contraction over regions of irregular shape", journal = j-NUM-MATH, volume = "4", pages = "209--225", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Uhlmann:1962:UFD, author = "W. Uhlmann", title = "{{\"U}ber den Fehler bei Differenzenverfahren f{\"u}r die Poissonsche Differentialgleichung}. ({German}) [{On} the Bound of Difference Method for {Poisson} Differential Equation]", journal = j-NUM-MATH, volume = "4", pages = "226--237", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Benders:1962:PPS, author = "J. F. Benders", title = "Partitioning procedures for solving mixed-variables programming problems", journal = j-NUM-MATH, volume = "4", pages = "238--252", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Albrecht:1962:NTI, author = "R. F. Albrecht and W. Urich", title = "Numerical treatment of the initial value problem for systems of quasilinear partial differential equations of first order", journal = j-NUM-MATH, volume = "4", pages = "253--261", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nitsche:1962:ATA, author = "Johannes C. C. Nitsche", title = "{{\"U}ber die Abh{\"a}ngigkeit der Tschebyscheffschen Approximierenden einer differenzierbaren Funktion vom Intervall}. ({German}) [{On} the relation of {Chebyshev} approximations for a differentiable interval function]", journal = j-NUM-MATH, volume = "4", pages = "262--276", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:46:19 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Parter:1962:SCP, author = "Seymour V. Parter", title = "Stability, convergence, and pseudo-stability of finite-difference equations for an over-determined problem", journal = j-NUM-MATH, volume = "4", pages = "277--292", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Parter:1962:ONS, author = "Seymour V. Parter", title = "An observation on the numerical solution of difference equations and a theorem of {Szeg{\H{o}}}", journal = j-NUM-MATH, volume = "4", pages = "293--295", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wilkinson:1962:NQC, author = "J. H. Wilkinson", title = "Note on the quadratic convergence of the cyclic {Jacobi} process", journal = j-NUM-MATH, volume = "4", pages = "296--300", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Douglas:1962:CMP, author = "Jim {Douglas, Jr.}", title = "A correction to my paper {``Alternating direction iteration for mildly nonlinear elliptic difference equations''}", journal = j-NUM-MATH, volume = "4", pages = "301--302", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Douglas:1961:ADI}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Frank:1962:CFEb, author = "Evelyn Frank", title = "On continued fraction expansion for binomial quadratic surds. {II}", journal = j-NUM-MATH, volume = "4", pages = "303--309", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schafke:1962:BES, author = "Friedrich Wilhelm Sch{\"a}fke and Helmut Groh", title = "{Zur Berechnung der Eigenwerte der Sph{\"a}roiddifferentialgleichung}. ({German}) [{On} the Calculation of the Eigenvalues of the Spheroidal Differential Equation]", journal = j-NUM-MATH, volume = "4", pages = "310--312", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bramble:1962:FFD, author = "J. H. Bramble and B. E. Hubbard", title = "On the formulation of finite difference analogues of the {Dirichlet} problem for {Poisson}'s equation", journal = j-NUM-MATH, volume = "4", pages = "313--327", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wilson:1962:MSS, author = "Walter L. {Wilson, Jr.}", title = "$d$-minimal surfaces spanning polygons in {$E_n$} by solving a linear system", journal = j-NUM-MATH, volume = "4", pages = "328--329", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hsu:1962:NIN, author = "L. C. Hsu", title = "On the numerical integration of non-periodic functions of several variables", journal = j-NUM-MATH, volume = "4", pages = "330--335", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brenner:1962:PSI, author = "C. Brenner and J. L. Brenner", title = "The popularity of small integers as primitive roots", journal = j-NUM-MATH, volume = "4", pages = "336--342", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Davis:1962:NSP, author = "Chandler Davis", title = "The norm of the {Schur} product operation", journal = j-NUM-MATH, volume = "4", pages = "343--344", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rivlin:1962:PBU, author = "T. J. Rivlin", title = "Polynomials of best uniform approximation to certain rational functions", journal = j-NUM-MATH, volume = "4", pages = "345--349", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Marcus:1962:ICC, author = "Marvin Marcus", title = "An inequality connecting the {$P$}-condition number and the determinant", journal = j-NUM-MATH, volume = "4", pages = "350--353", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wilkinson:1962:HMS, author = "J. H. Wilkinson", title = "{Householder}'s method for symmetric matrices", journal = j-NUM-MATH, volume = "4", pages = "354--361", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wilkinson:1962:CESa, author = "J. H. Wilkinson", title = "Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection", journal = j-NUM-MATH, volume = "4", pages = "362--367", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wilkinson:1962:CESb, author = "J. H. Wilkinson", title = "Calculation of the eigenvectors of a symmetric tridiagonal matrix by inverse iteration", journal = j-NUM-MATH, volume = "4", pages = "368--376", month = dec, year = "1962", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zurmuhl:1963:BVH, author = "R. Zurm{\"u}hl", title = "{Bemerkungen zum Verfahren von Hessenberg}. ({German}) [{Remark} on a Method of {Hessenberg}]", journal = j-NUM-MATH, volume = "4", pages = "377--380", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Salzer:1963:EWF, author = "Herbert E. Salzer", title = "Equally-weighted formulas for numerical differentiation", journal = j-NUM-MATH, volume = "4", pages = "381--392", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wohlfahrt:1963:UBP, author = "Klaus Wohlfahrt", title = "{{\"U}ber die Berechnung der Periodenverh{\"a}ltnisse elliptischer Gebilde}. ({German}) [{On} the Calculation of the Relationship of the Periods of Elliptic Structures]", journal = j-NUM-MATH, volume = "4", pages = "393--397", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Nagler:1963:PST, author = "H. Nagler", title = "On a property of simplex tableaux in the transportation problem", journal = j-NUM-MATH, volume = "4", pages = "398--402", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Clenshaw:1963:ASF, author = "C. W. Clenshaw and G. F. Miller and M. Woodger", title = "Algorithms for special functions. {I}", journal = j-NUM-MATH, volume = "4", pages = "403--419", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Special functions", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Backus:1963:RRA, author = "J. W. Backus and F. L. Bauer and J. Green and C. Katz and J. McCarthy and P. Naur and A. J. Perlis and H. Rutishauser and K. Samelson and B. Vauquois and J. H. Wegstein and A. van Wijngaarden and M. Woodger", title = "Revised report on the algorithmic language {ALGOL} 60", journal = j-NUM-MATH, volume = "4", pages = "420--453", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Edited by Peter Naur. Dedicated to the memory of William Turanski.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Neubauer:1963:EUM, author = "Gerhard Neubauer", title = "{Eine empirische Untersuchung zur Mertensschen Funktion}. ({German}) [{An} Empirical Investigation of the {Merten} Function]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "1--13", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Meinardus:1963:UVU, author = "G{\"u}nter Meinardus", title = "{{\"U}ber eine Verallgemeinerung einer Ungleichung von L. V. Kantorowitsch}. ({German}) [{On} a Generalization of an Inequation of {L. V. Kantorowitsch}]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "14--23", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Kreiss:1963:UID, author = "Heinz-Otto Kreiss", title = "{{\"U}ber implizite Differenzmethoden f{\"u}r partielle Differentialgleichungen}. ({German}) [{On} Implicit Difference Methods for Partial Differential Equations]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "24--47", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Rutishauser:1963:ARP, author = "H. Rutishauser", title = "{Ausdehnung des Rombergschen Prinzips}. ({German}) [{Extension} of the {Romberg} Principle]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "48--54", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Sauer:1963:DHA, author = "Robert Sauer", title = "{Differenzenverfahren f{\"u}r hyperbolische Anfangswertprobleme bei mehr als zwei unabh{\"a}ngigen Ver{\"a}nderlichen mit Hilfe von Nebencharakteristiken}. ({German}) [{Difference} Method for Hyperbolic Initial Value Problems in More than Two Independent Variables with the Aid of Secondary Characteristics]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "55--67", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Aumann:1963:UVL, author = "Georg Aumann", title = "{{\"U}ber den Vergleichsfaktor bei linearen Approximationsproblemen}. ({German}) [{On} the Comparison Factor for Linear Approximation Problems]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "68--72", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bauer:1963:OSM, author = "F. L. Bauer", title = "Optimally Scaled Matrices", journal = j-NUM-MATH, volume = "5", number = "1", pages = "73--87", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Struble:1963:OPV, author = "George W. Struble", title = "Orthogonal polynomials: Variable-signed weight functions", journal = j-NUM-MATH, volume = "5", number = "1", pages = "88--94", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rutishauser:1963:SSQ, author = "Heinz Rutishauser", title = "{Stabile Sonderf{\"a}lle des Quotienten-Differenzen-Algorithmus}. ({German}) [{Stable} Special Cases of the Quotient-Difference Algorithm]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "95--112", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Frank:1963:CEB, author = "Evelyn Frank", title = "On continued expansions for binomial quadratic surds. {III}", journal = j-NUM-MATH, volume = "5", number = "1", pages = "113--117", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Aronson:1963:SCF, author = "D. G. Aronson", title = "On the stability of certain finite difference approximations to parabolic systems of differential equations", journal = j-NUM-MATH, volume = "5", number = "1", pages = "118--137", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See correction \cite{Aronson:1963:CPS}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Imhof:1963:MNI, author = "J. P. Imhof", title = "On the method for numerical integration of {Clenshaw} and {Curtis}", journal = j-NUM-MATH, volume = "5", number = "1", pages = "138--141", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gastinel:1963:DNG, author = "N. Gastinel", title = "Sur-decomposition de normes g{\'e}n{\'e}rales et proc{\'e}d{\'e}s iteratifs. ({French}) [{Super} Decomposition of Generalized Norms and Iterative Procedures]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "142--151", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Lynn:1963:SIM, author = "M. Stuart Lynn", title = "Some infra-max bounds for the spectral radii of splittings of $ {H}$-matrices", journal = j-NUM-MATH, volume = "5", number = "1", pages = "152--174", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Douglas:1963:CAD, author = "J. {Douglas, Jr.} and C. M. Pearcy", title = "On convergence of alternating direction procedures in the presence of singular operators", journal = j-NUM-MATH, volume = "5", number = "1", pages = "175--184", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Descloux:1963:BSN, author = "Jean Descloux", title = "Bounds for the spectral norm of functions of matrices", journal = j-NUM-MATH, volume = "5", number = "1", pages = "185--190", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 21:44:06 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", mynote = "f(triangular)", } @Article{Ginsburg:1963:CGM, author = "Theo Ginsburg", title = "The conjugate gradient method", journal = j-NUM-MATH, volume = "5", number = "1", pages = "191--200", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Seidman:1963:SCD, author = "Thomas I. Seidman", title = "On the stability of certain difference schemes", journal = j-NUM-MATH, volume = "5", number = "1", pages = "201--210", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ortega:1963:EAH, author = "James M. Ortega", title = "An Error Analysis of {Householder}'s Method for the Symmetric Eigenvalue Problem", journal = j-NUM-MATH, volume = "5", number = "1", pages = "211--225", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri Nov 25 09:10:08 GMT 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Haemmerlin:1963:UAS, author = "G{\"u}nther Haemmerlin", title = "{{\"U}ber ableitungsfreie Schranken f{\"u}r Quadraturfehler}. ({German}) [{On} Derivative-Free Bounds for Quadrature Error]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "226--233", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Householder:1963:SVI, author = "A. S. Householder and John A. Carpenter", title = "The singular values of involutory and of idempotent matrices", journal = j-NUM-MATH, volume = "5", number = "1", pages = "234--237", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Weinstein:1963:SLT, author = "Alexander Weinstein", title = "On the {Sturm--Liouville} theory and the eigenvalues of intermediate problems", journal = j-NUM-MATH, volume = "5", number = "1", pages = "238--245", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lehmann:1963:OE, author = "N. J. Lehmann", title = "{Optimale Eigenwerteinschliessungen}. ({German}) [{Optimal} Eigenvalue Inclusion]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "246--272", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Rutishauser:1963:TMS, author = "H. Rutishauser and H. R. Schwarz", title = "The {$ L R $} transformation method for symmetric matrices", journal = j-NUM-MATH, volume = "5", number = "1", pages = "273--289", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Aronson:1963:CPS, author = "D. G. Aronson", title = "A Correction to the Paper {``On the stability of certain finite difference approximations to parabolic systems of differential equations'' [Num. Math. {\bf 5}, 118--137 (1963)]}", journal = j-NUM-MATH, volume = "5", number = "1", pages = "290--290", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Aronson:1963:SCF}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hofsommer:1963:NCE, author = "D. J. Hofsommer and R. van de Riet", title = "On the numerical calculation of elliptic integrals of the first and second kind and the elliptic functions of {Jacobi}", journal = j-NUM-MATH, volume = "5", number = "1", pages = "291--302", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schonhage:1963:OPD, author = "A. Sch{\"o}nhage", title = "{Optimale Punkte f{\"u}r Differentiation und Integration}. ({German}) [{Optimal} Points for Differentiation and Integration]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "303--331", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Wynn:1963:NCF, author = "P. Wynn", title = "Note on a converging factor for a certain continued fraction", journal = j-NUM-MATH, volume = "5", number = "1", pages = "332--352", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Tornig:1963:DRN, author = "Willi T{\"o}rnig", title = "{{\"U}ber Differenzverfahren in Rechteckgittern zur numerischen L{\"o}sung quasilinearer hyperbolischer Differentialgleichungen}. ({German}) [{On} the Difference Method in Rectangular Grid for the Numerical Solution of Quasilinear Hyperbolic Differential Equations]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "353--370", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Stoer:1963:DNP, author = "J. Stoer", title = "Duality in nonlinear programming and the minimax theorem", journal = j-NUM-MATH, volume = "5", number = "1", pages = "371--379", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Borsch-Supan:1963:PEB, author = "W. B{\"o}rsch-Supan", title = "A Posteriori Error Bounds for the Zeros of Polynomials", journal = j-NUM-MATH, volume = "5", number = "1", pages = "380--398", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stetter:1963:MBS, author = "Hans J. Stetter", title = "Maximum bounds for the solutions of initial value problems for partial difference equations", journal = j-NUM-MATH, volume = "5", number = "1", pages = "399--424", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gautschi:1963:IVC, author = "Walter Gautschi", title = "On Inverses of {Vandermonde} and Confluent {Vandermonde} Matrices. {II}", journal = j-NUM-MATH, volume = "5", number = "1", pages = "425--430", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Goldstein:1963:SRA, author = "A. A. Goldstein", title = "On the stability of rational approximation", journal = j-NUM-MATH, volume = "5", number = "1", pages = "431--438", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:13 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=5&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=5&issue=1&spage=431", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kranzer:1963:EFN, author = "H. C. Kranzer", title = "An error formula for numerical differentiation", journal = j-NUM-MATH, volume = "5", number = "1", pages = "439--442", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:13 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=5&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=5&issue=1&spage=439", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ansorge:1963:AVC, author = "R. Ansorge", title = "{Die Adams--Verfahren als Charakteristikenverfahren h{\"o}herer Ordnung zur L{\"o}sung von hyperbolischen Systemen halblinearer Differentialgleichungen}. ({German}) [The {Adams} method for characteristic procedures of higher order for the solution of hyperbolic systems of half-linear differential equations]", journal = j-NUM-MATH, volume = "5", number = "1", pages = "443--460", month = dec, year = "1963", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Dec 21 16:41:13 MST 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=5&issue=1; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=5&issue=1&spage=443", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Zurmuhl:1964:AGT, author = "R. Zurm{\"u}hl", title = "{Zur angen{\"a}herten ganzrationalen Tschebyscheff-Approximation mit Hilfe trigonometrischer Interpolation}. ({German}) [{Toward} Approximate Fairly Rational {Chebyshev} Approximation with the Aid of Trigonometric Interpolation]", journal = j-NUM-MATH, volume = "6", number = "1", pages = "1--5", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bulirsch:1964:BRI, author = "R. Bulirsch", title = "{Bemerkungen zur Romberg-Integration}. ({German}) [{Remark} on {Romberg} Integration]", journal = j-NUM-MATH, volume = "6", number = "1", pages = "6--16", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Eve:1964:EP, author = "J. Eve", title = "The evaluation of polynomials", journal = j-NUM-MATH, volume = "6", number = "1", pages = "17--21", month = dec, year = "1964", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386049", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "number of multiplications to evaluate a polynomial", } @Article{Wynn:1964:GPV, author = "P. Wynn", title = "General purpose vector epsilon algorithm {ALGOL} procedures", journal = j-NUM-MATH, volume = "6", number = "1", pages = "22--36", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Strang:1964:APD, author = "G. Strang", title = "Accurate partial difference methods. {II}: Non-linear problems", journal = j-NUM-MATH, volume = "6", number = "1", pages = "37--46", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Goldstein:1964:MPM, author = "A. A. Goldstein and R. B. Kripke", title = "Mathematical Programming by Minimizing Differentiable Functions", journal = j-NUM-MATH, volume = "6", number = "1", pages = "47--48", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bennett:1964:IEM, author = "J. H. Bennett", title = "Integral equation methods for transport problems. Some numerical results", journal = j-NUM-MATH, volume = "6", number = "1", pages = "49--54", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stoer:1964:UDN, author = "J. Stoer", title = "{{\"U}ber einen Dualit{\"a}tssatz der nichtlinearen Programmierung}. ({German}) [{On} a duality theorem of nonlinear programming]", journal = j-NUM-MATH, volume = "6", number = "1", pages = "55--58", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Feb 22 18:39:10 2001", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Tsuda:1964:AMC, author = "T. Tsuda and T. Kiyono", title = "Application of the {Monte Carlo} method to systems of nonlinear algebraic equations", journal = j-NUM-MATH, volume = "6", number = "1", pages = "59--67", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Salzer:1964:DDF, author = "H. E. Salzer", title = "Divided differences for functions of two variables for irregularly spaces arguments", journal = j-NUM-MATH, volume = "6", number = "1", pages = "68--77", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schmidt:1964:AMI, author = "Jochen W. Schmidt", title = "{Ausgangsvektoren f{\"u}r monotone Iterationen bei linearen Gleichungsystemen}. ({German}) [{Starting} vectors for monotone iterations of linear equation systems]", journal = j-NUM-MATH, volume = "6", number = "1", pages = "78--88", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:51:10 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Patry:1964:BF, author = "J. Patry and J. Keller", title = "{Zur Berechnung des Fehlerintegrals}. ({German}) [{Toward} the Computation of Error Integrals]", journal = j-NUM-MATH, volume = "6", number = "1", pages = "89--97", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Marshall:1964:ITE, author = "A. W. Marshall and I. Olkin", title = "Inclusion theorems for eigenvalues from probability inequalities", journal = j-NUM-MATH, volume = "6", number = "1", pages = "98--102", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kripke:1964:BAR, author = "Bernard R. Kripke", title = "Best approximation with respect to nearby norms", journal = j-NUM-MATH, volume = "6", number = "1", pages = "103--105", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hageman:1964:BIM, author = "L. A. Hageman and R. S. Varga", title = "Block iterative methods for cyclically reduced matrix equations", journal = j-NUM-MATH, volume = "6", number = "1", pages = "106--119", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Heap:1964:IPN, author = "B. R. Heap and M. S. Lynn", title = "The index of primitivity of a non-negative matrix", journal = j-NUM-MATH, volume = "6", number = "1", pages = "120--141", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Tee:1964:ACM, author = "G. J. Tee", title = "An application of $p$-cyclic matrices, for solving periodic parabolic problems", journal = j-NUM-MATH, volume = "6", number = "1", pages = "142--159", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bittner:1964:UMI, author = "L. Bittner", title = "{{\"U}ber ein mehrstufiges Iterationsverfahren zur L{\"o}sung von linearen Gleichungen}. ({German}) [{On} a More Layered Iteration Method for Solution of Linear Equations]", journal = j-NUM-MATH, volume = "6", number = "1", pages = "161--180", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Gunn:1964:NSS, author = "J. E. Gunn", title = "The numerical solution of $\nabla\cdot a\nabla u = f$ by a semi-explicit alternating-direction iterative technique", journal = j-NUM-MATH, volume = "6", number = "1", pages = "181--184", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lynch:1964:DSP, author = "R. Lynch and J. Rice and D. Thomas", title = "Direct solution of partial difference equations by tensor product methods", journal = j-NUM-MATH, volume = "6", number = "1", pages = "185--199", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Suschowk:1964:DAG, author = "D. Suschowk", title = "Difference analogues of {Green}'s identities for grids in {$R^n$}", journal = j-NUM-MATH, volume = "6", number = "1", pages = "200--210", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Briones:1964:AAC, author = "F. Briones", title = "On the alternants appearing in {Chebyshev}'s best approximation problem", journal = j-NUM-MATH, volume = "6", number = "1", pages = "211--223", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ansorge:1964:SGK, author = "Rainer Ansorge", title = "{Zur Struktur gewisser Konvergenzkriterien bei der numerischen L{\"o}sung von Anfangswertaufgaben}. ({German}) [{On} the structure of some convergence criteria for numerical solving of certain initial value problems]", journal = j-NUM-MATH, volume = "6", number = "1", pages = "224--234", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Boehm:1964:FWB, author = "B. Boehm", title = "Functions whose best rational {Chebyshev} approximation are polynomials", journal = j-NUM-MATH, volume = "6", number = "1", pages = "235--242", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gunn:1964:TSI, author = "J. E. Gunn", title = "On the two-stage iterative method of {Douglas} for mildly non-linear elliptic difference equations", journal = j-NUM-MATH, volume = "6", number = "1", pages = "243--249", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rosen:1964:PPP, author = "J. B. Rosen", title = "Primal partition programming for block diagonal matrices", journal = j-NUM-MATH, volume = "6", number = "1", pages = "250--260", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Handscomb:1964:RMC, author = "D. C. Handscomb", title = "Remarks on a {Monte Carlo} integration method", journal = j-NUM-MATH, volume = "6", number = "1", pages = "261--268", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Broyden:1964:SGT, author = "C. G. Broyden", title = "Some generalisations of the theory of successive over-relaxation", journal = j-NUM-MATH, volume = "6", number = "1", pages = "269--284", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Mitchell:1964:IFA, author = "A. Mitchell and G. Fairweather", title = "Improved forms of the alternating direction methods of {Douglas}, {Peaceman}, and {Rachford} for solving parabolic and elliptic equations", journal = j-NUM-MATH, volume = "6", number = "1", pages = "285--292", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lawson:1964:CPS, author = "Ch.L. Lawson", title = "Characteristic properties of the segmented rational minmax approximation problem", journal = j-NUM-MATH, volume = "6", number = "1", pages = "293--301", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stoer:1964:CLU, author = "J. Stoer", title = "On the characterization of least upper bound norms in matrix space", journal = j-NUM-MATH, volume = "6", number = "1", pages = "302--314", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wilf:1964:ECN, author = "H. Wilf", title = "Exactness conditions in numerical quadrature", journal = j-NUM-MATH, volume = "6", number = "1", pages = "315--319", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Filippi:1964:ATA, author = "Siegfried Filippi", title = "{Angen{\"a}herte Tschebyscheff-Approximation einer Stammfunktion des Verfahrens von Clenshaw und Curtis}. ({German}) [{Chebyshev} Approximation of a Primitive Function of the {Clenshaw--Curtis} Methods]", journal = j-NUM-MATH, volume = "6", number = "1", pages = "320--328", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Azpeitia:1964:DRS, author = "A. G. Azpeitia and D. J. Dickinson", title = "A decision rule in the simplex method that avoids cycling", journal = j-NUM-MATH, volume = "6", number = "1", pages = "329--331", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schneider:1964:BND, author = "A. Schneider", title = "{Bemerkungen zur numerischen Differentiation}. ({German}) [{Remark} on numerical differentiation]", journal = j-NUM-MATH, volume = "6", number = "1", pages = "332--334", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Nov 05 10:26:22 2002", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Buchmann:1964:CUJ, author = "M. Buchmann", title = "A condition for uniform {Jordanization} of a family of triangular matrices", journal = j-NUM-MATH, volume = "6", number = "1", pages = "335--345", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Heap:1964:GTA, author = "B. R. Heap and M. S. Lynn", title = "A graph-theoretic algorithm for the solution of a linear {Diophantine} problem of {Frobenius}", journal = j-NUM-MATH, volume = "6", number = "1", pages = "346--354", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nirschl:1964:BFV, author = "N. Nirschl and H. Schneider", title = "The {Bauer} fields of values of a matrix", journal = j-NUM-MATH, volume = "6", number = "1", pages = "355--365", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Varga:1964:SIG, author = "R. S. Varga", title = "On smallest isolated {Gerschgorin} disks for eigenvalues", journal = j-NUM-MATH, volume = "6", number = "1", pages = "366--376", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lancaster:1964:EMD, author = "P. Lancaster", title = "On eigenvalues of matrices dependent on a parameter", journal = j-NUM-MATH, volume = "6", number = "1", pages = "377--387", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lancaster:1964:ALM, author = "P. Lancaster", title = "Algorithms for lambda-matrices", journal = j-NUM-MATH, volume = "6", number = "1", pages = "388--394", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Weinitschke:1964:UKI, author = "H. J. Weinitschke", title = "{{\"U}ber eine Klasse von Iterationsverfahren}. ({German}) [{On} a Class of Iteration Methods]", journal = j-NUM-MATH, volume = "6", number = "1", pages = "395--404", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Oettli:1964:CAS, author = "W. Oettli and W. Prager", title = "Compatibility of Approximate Solution of Linear Equations With Given Error Bounds for Coefficients and Right-Hand Sides", journal = j-NUM-MATH, volume = "6", number = "1", pages = "405--409", month = dec, year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "backward perturbation; la; linear system; pert", } @Article{Gerhards:1965:VBV, author = "L. Gerhards and W. Lindenberg", title = "{Ein Verfahren zur Berechnung des vollst{\"a}ndigen Untergruppenverbandes endlicher Gruppen auf Dualmaschinen}. ({German}) [{A} Method for Calculation of the Complete Collection of Subgroups of Finite Groups from Dual Machines]", journal = j-NUM-MATH, volume = "7", number = "1", pages = "1--10", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Schneider:1965:POI, author = "Hans Schneider", title = "Positive operators and an inertia theorem", journal = j-NUM-MATH, volume = "7", number = "1", pages = "11--17", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stetter:1965:AEE, author = "Hans J. Stetter", title = "Asymptotic expansions for the error of discretization algorithms for non- linear functional equations", journal = j-NUM-MATH, volume = "7", number = "1", pages = "18--31", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Braess:1965:MIG, author = "Dietrich Braess", title = "{Monotone Iterationsfolgen bei Gleichungssystemen mit fehlerhaften Koeffizienten und Iterationsbeschleunigung}. ({German}) [{Monotone} Iteration Sequences for Equation Systems with Coefficients Having Errors, and Iteration Acceleration]", journal = j-NUM-MATH, volume = "7", number = "1", pages = "32--41", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bergmann:1965:NSB, author = "Stefan Bergmann and John G. Herriot", title = "Numerical solution of boundary-value problems by the method of integral operators", journal = j-NUM-MATH, volume = "7", number = "1", pages = "42--65", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Maybee:1965:SST, author = "J. S. Maybee", title = "Some structural theorems for partial difference operators", journal = j-NUM-MATH, volume = "7", number = "1", pages = "66--72", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hedstrom:1965:NSL, author = "G. W. Hedstrom", title = "The near-stability of the {Lax--Wendroff} method", journal = j-NUM-MATH, volume = "7", number = "1", pages = "73--77", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bulirsch:1965:NCEa, author = "Roland Bulirsch", title = "Numerical calculation of elliptic integrals and elliptic functions", journal = j-NUM-MATH, volume = "7", number = "1", pages = "78--90", month = feb, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Special functions", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Miller:1965:NAS, author = "Keith Miller", title = "Numerical analogs to the {Schwarz} alternating procedure", journal = j-NUM-MATH, volume = "7", number = "2", pages = "91--103", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Metropolis:1965:AUA, author = "N. Metropolis", title = "Algorithms in unnormalized arithmetic. {I}: {Recurrence} relations", journal = j-NUM-MATH, volume = "7", number = "2", pages = "104--112", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "68.00", MRnumber = "MR0178589 (31 \#2846)", MRreviewer = "G. Dahlquist", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Metropolis:1965:BAU}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Parter:1965:MNE, author = "Seymour V. Parter", title = "Mildly nonlinear elliptic partial differential equations and their numerical solution. {I}", journal = j-NUM-MATH, volume = "7", number = "2", pages = "113--128", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Greenspan:1965:MNE, author = "Donald Greenspan and Seymour V. Parter", title = "Mildly nonlinear elliptic partial differential equations and their numerical solution. {II}", journal = j-NUM-MATH, volume = "7", number = "2", pages = "129--146", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Marsal:1965:VSE, author = "Dietrich Marsal", title = "{Eine Verallgemeinerung der Summenformel von Euler und ihre Anwendung auf ausgew{\"a}hlte Probleme der numerischen Integration}. ({German}) [{A} Generalization of {Euler}'s Summation Formula and its Use for Selected Problems of Numerical Integration]", journal = j-NUM-MATH, volume = "7", number = "2", pages = "147--154", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Osborne:1965:NNS, author = "M. R. Osborne", title = "A note on the numerical solution of a periodic parabolic problem", journal = j-NUM-MATH, volume = "7", number = "2", pages = "155--158", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Roark:1965:MCE, author = "A. L. Roark and G. M. Wing", title = "A method for computing the eigenvalues of certain integral equations", journal = j-NUM-MATH, volume = "7", number = "2", pages = "159--170", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Todd:1965:SIG, author = "John Todd", title = "On smallest isolated {Gerschgorin} disks for eigenvalues", journal = j-NUM-MATH, volume = "7", number = "2", pages = "170--175", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brosowski:1965:ERT, author = "Bruno Brosowski", title = "{{\"U}ber die Eindeutigkeit der rationalen Tschebyscheff-Approximationen}. ({German}) [{On} the uniqueness of rational {Chebyshev} approximations]", journal = j-NUM-MATH, volume = "7", number = "2", pages = "176--186", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 12:04:07 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Parlett:1965:CA, author = "Beresford Parlett", title = "Convergence of the {$QR$} algorithm", journal = j-NUM-MATH, volume = "7", number = "2", pages = "187--193", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Miller:1965:ASF, author = "G. F. Miller", title = "Algorithms for special functions. {II}", journal = j-NUM-MATH, volume = "7", number = "2", pages = "194--196", month = apr, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Special Functions", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Garsia:1965:SBB, author = "Adriano M. Garsia", title = "Some bounds on best uniform linear approximation", journal = j-NUM-MATH, volume = "7", number = "3", pages = "197--205", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Golub:1965:NMS, author = "G. H. Golub", title = "Numerical Methods for Solving Linear Least Squares Problems", journal = j-NUM-MATH, volume = "7", number = "3", pages = "206--216", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.20", MRnumber = "31\#5323", MRreviewer = "W. J. Kotz{\'e}", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/gvl.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Householder transformation; lsq; nla; qrd; updating", } @Article{Bennett:1965:TFM, author = "John M. Bennett", title = "Triangular factors of modified matrices", journal = j-NUM-MATH, volume = "7", number = "3", pages = "217--221", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kuenzi:1965:DA, author = "H. P. Kuenzi and H. Tzschach", title = "The duoplex-algorithm", journal = j-NUM-MATH, volume = "7", number = "3", pages = "222--225", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Heap:1965:LDP, author = "B. R. Heap and M. S. Lynn", title = "On a linear {Diophantine} problem of {Frobenius}: an improved algorithm", journal = j-NUM-MATH, volume = "7", number = "3", pages = "226--231", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hammerlin:1965:ASQ, author = "G{\"u}nther H{\"a}mmerlin", title = "{{\"U}ber ableitungsfreie Schranken f{\"u}r Quadraturfehler. II: Erg{\"a}nzungen und M{\"o}glichkeiten zur Verbesserung}. ({German}) [{On} constraints without derivatives for quadrature errors. {II}: Completions and possibilities to improve]", journal = j-NUM-MATH, volume = "7", number = "3", pages = "232--237", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Cochran:1965:ZHF, author = "James Alan Cochran", title = "The zeros of {Hankel} functions as functions of their order", journal = j-NUM-MATH, volume = "7", number = "3", pages = "238--250", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Focke:1965:UMM, author = "J. Focke", title = "{{\"U}ber die Multiplikativit{\"a}t von Matrizennormen}. ({German}) [{On} the Multiplicability of Matrix Norms]", journal = j-NUM-MATH, volume = "7", number = "3", pages = "251--254", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Gastinel:1965:PCE, author = "N. Gastinel", title = "Propri{\'e}t{\'e}s de certains ensembles normes de matrices. ({French}) [{Properties} of Certain Matrix Norm Ensembles]", journal = j-NUM-MATH, volume = "7", number = "3", pages = "255--260", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Timlake:1965:EP, author = "W. P. Timlake", title = "An extension of the ${\Sigma}^2$ procedure", journal = j-NUM-MATH, volume = "7", number = "3", pages = "261--268", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Businger:1965:LLS, author = "Peter A. Businger and Gene H. Golub", title = "Linear Least Squares Solutions by {Householder} Transformations", journal = j-NUM-MATH, volume = "7", number = "3", pages = "269--276", month = jun, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.20", MRnumber = "31\#862", bibdate = "Sun Jan 14 10:04:47 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/gvl.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 111--118]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Householder transformation; lsq; nla; qrd; software", } @Article{Reimer:1965:FLD, author = "Manfred Reimer", title = "{Eine Fehlerabsch{\"a}tzung f{\"u}r lineare Differenzenverfahren}. ({German}) [{An} error bound for linear difference methods]", journal = j-NUM-MATH, volume = "7", number = "4", pages = "277--285", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Greenspan:1965:VSN, author = "H. Greenspan and W. Hafner and M. Ribaric", title = "On varying stepsize in numerical integration of first order differential equations", journal = j-NUM-MATH, volume = "7", number = "4", pages = "286--291", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hayden:1965:CFA, author = "T. L. Hayden", title = "Continued fraction approximation to functions", journal = j-NUM-MATH, volume = "7", number = "4", pages = "292--309", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nemeth:1965:CEF, author = "G. N{\'e}meth", title = "{Chebyshev} expansions for {Fresnel} integrals", journal = j-NUM-MATH, volume = "7", number = "4", pages = "310--312", month = aug, year = "1965", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436524", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, citedby = "Fullerton:1980:BEM", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", remark = "Fullerton: Two series of 12-digit coefficients are given to cover the range $ 0 \leq x < \infty $.", } @Article{Klee:1965:CLP, author = "Victor Klee", title = "A class of linear programming problems requiring a large number of iterations", journal = j-NUM-MATH, volume = "7", number = "4", pages = "313--321", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ralston:1965:RCA, author = "Anthony Ralston", title = "Rational {Chebyshev} approximation by {Remes}' algorithms", journal = j-NUM-MATH, volume = "7", number = "4", pages = "322--330", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bauer:1965:EPH, author = "F. L. Bauer", title = "An elementary proof of the {Hopf} inequality for positive operators", journal = j-NUM-MATH, volume = "7", number = "4", pages = "331--337", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bauer:1965:EWR, author = "F. L. Bauer", title = "Elimination with Weighted Row Combinations for Solving Linear Equations and Least Squares Problems", journal = j-NUM-MATH, volume = "7", number = "4", pages = "338--352", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 119--133]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Gram--Schmidt algorithm; lsq; nla; software", } @Article{Bulirsch:1965:NCEb, author = "Roland Bulirsch", title = "Numerical calculation of elliptic integrals and elliptic functions. {II}", journal = j-NUM-MATH, volume = "7", number = "4", pages = "353--354", month = aug, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Metropolis:1965:BAU, author = "N. Metropolis", title = "Berichtigung: {Algorithms in unnormalized arithmetic. I: Recurrence relations}", journal = j-NUM-MATH, volume = "7", number = "4", pages = "354--354", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed Jan 12 18:51:05 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Metropolis:1965:AUA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Martin:1965:SDPa, author = "R. S. Martin and J. H. Wilkinson", title = "Symmetric Decomposition of Positive Definite Band Matrices", journal = j-NUM-MATH, volume = "7", number = "5", pages = "355--361", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 50--56]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "band matrix; lud; nla; software; symmetric matrix", } @Article{Martin:1965:SDPb, author = "R. S. Martin and G. Peters and J. H. Wilkinson", title = "Symmetric Decomposition of a Positive Definite Matrix", journal = j-NUM-MATH, volume = "7", number = "5", pages = "362--383", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 9--30]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cholesky decomposition; nla; software", } @Article{Barnhill:1965:CQR, author = "Robert E. Barnhill", title = "Complex quadratures with remainders of minimum norm", journal = j-NUM-MATH, volume = "7", number = "5", pages = "384--390", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Goldstein:1965:NM, author = "A. A. Goldstein", title = "On {Newton}'s method", journal = j-NUM-MATH, volume = "7", number = "5", pages = "391--393", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Roark:1965:PRW, author = "A. L. Roark and L. F. Shampine", title = "On paper of Roark and Wing", journal = j-NUM-MATH, volume = "7", number = "5", pages = "394--395", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brosowski:1965:ELP, author = "Bruno Brosowski", title = "{{\"U}ber Extremalsignaturen linearer Polynome in $n$ Ver{\"a}nderlichen}. ({German}) [{On the extremal signature of linear polynomials in $n$ variables}]", journal = j-NUM-MATH, volume = "7", number = "5", pages = "396--405", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:47:32 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Smith:1965:QMB, author = "Francis J. Smith", title = "Quadrature methods based on the {Clenshaw--Curtis} method of integration", journal = j-NUM-MATH, volume = "7", number = "5", pages = "406--411", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Keller:1965:AFD, author = "Herbert B. Keller", title = "On the accuracy of finite difference approximations to the eigenvalues of differential and integral operators", journal = j-NUM-MATH, volume = "7", number = "5", pages = "412--419", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Shah:1965:ACF, author = "S. M. Shah and P. Suryanarayana", title = "Approximation of continuous functions by power series with polynomial coefficients", journal = j-NUM-MATH, volume = "7", number = "5", pages = "420--425", month = oct, year = "1965", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rice:1965:CPR, author = "John R. Rice", title = "On the Conditioning of Polynomial and Rational Forms", journal = j-NUM-MATH, volume = "7", number = "5", pages = "426--435", month = oct, year = "1965", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436257", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.99", MRnumber = "MR0189283 (32 \#6710)", MRreviewer = "James H. Wilkinson", bibdate = "Sun Oct 16 17:22:04 GMT 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/nummath.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bulirsch:1966:NTO, author = "Roland Bulirsch and Josef Stoer", title = "Numerical treatment of ordinary differential equations by extrapolation methods", journal = j-NUM-MATH, volume = "8", number = "1", pages = "1--13", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Legras:1966:RNG, author = "J. Legras", title = "{R}{\'e}solution num{\'e}rique des grands syst{\`e}mes diff{\'e}rentiels lin{\'e}aires. ({French}) [{Numerical} Solution of Large Systems of Linear Differentials]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "14--28", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Dejon:1966:STU, author = "B. Dejon", title = "Stronger than uniform convergence of multistep difference methods", journal = j-NUM-MATH, volume = "8", number = "1", pages = "29--41", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See addendum \cite{Dejon:1966:AST}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lehmann:1966:VOE, author = "N. J. Lehmann", title = "{Zur Verwendung optimaler Eigenwerteingrenzungen bei der L{\"o}sung symmetrischer Matrizenaufgaben}. ({German}) [{On} the Use of Optimal Eigenvalue Enclosure for the Solution of Symmetric Matrix Problems]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "42--55", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Lieu:1966:MCE, author = "Bui Trong Li{\^e}{\"u} and P. Huard", title = "La m{\'e}thode des centres dans un espace topologique. ({French}) [{The} Method of Centers in a Topological Space]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "56--67", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Schaefke:1966:VBC, author = "Friedrich W. Schaefke and Dieter Schmidt", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung. III}. ({German}) [{A} Method for Computation of the Characteristic Exponent of {Mathieu}' Differential Equation. {III}]", journal = j-NUM-MATH, volume = "8", number = "1", pages = "68--71", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Mueller:1966:HMC, author = "Dennis J. Mueller", title = "{Householder}'s Method for Complex Matrices and Eigensystems of {Hermitian} Matrices", journal = j-NUM-MATH, volume = "8", number = "1", pages = "72--92", month = mar, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex matrix; eig; nla; symmetric matrix", } @Article{Bulirsch:1966:AUL, author = "Roland Bulirsch and Josef Stoer", title = "Asymptotic upper and lower bounds for results of extrapolation methods", journal = j-NUM-MATH, volume = "8", number = "2", pages = "93--104", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Oct 18 13:02:03 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schmidt:1966:AEK, author = "Jochen W. Schmidt", title = "{Asymptotische Einschlie{\ss}ung bei konvergenzbeschleunigenden Verfahren}. ({German}) [{Asymptotic bounds for convergence accelerating methods}]", journal = j-NUM-MATH, volume = "8", number = "2", pages = "105--113", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Heap:1966:RMG, author = "B. R. Heap", title = "Random matrices and graphs", journal = j-NUM-MATH, volume = "8", number = "2", pages = "114--122", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Doring:1966:IIS, author = "Boro D{\"o}ring", title = "{Inverse Interpolation bei den speziellen Funktionen der mathematischen Physik}. ({German}) [{Inverse interpolation in the special functions of mathematical physics}]", journal = j-NUM-MATH, volume = "8", number = "2", pages = "123--136", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:48:28 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Gourlay:1966:ADM, author = "A. R. Gourlay and A. R. Mitchell", title = "Alternating direction methods for hyperbolic systems", journal = j-NUM-MATH, volume = "8", number = "2", pages = "137--149", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stenger:1966:BEG, author = "Frank Stenger", title = "Bounds on the error of {Gauss}-type quadratures", journal = j-NUM-MATH, volume = "8", number = "2", pages = "150--160", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Spijker:1966:CSS, author = "M. N. Spijker", title = "Convergence and stability of step-by-step methods for the numerical solution of initial-value problems", journal = j-NUM-MATH, volume = "8", number = "2", pages = "161--177", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ansorge:1966:FVA, author = "Rainer Ansorge", title = "{Zur Frage der Verallgemeinerung des {\"A}quivalenzsatzes von Lax}. ({German}) [{On} the Question of Generalization of the {Lax} Equivalence Principles]", journal = j-NUM-MATH, volume = "8", number = "2", pages = "178--185", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Widlund:1966:SPD, author = "Olaf B. Widlund", title = "Stability of parabolic difference schemes in the maximum norm", journal = j-NUM-MATH, volume = "8", number = "2", pages = "186--202", month = apr, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Martin:1966:IRS, author = "R. S. Martin and G. Peters and J. H. Wilkinson", title = "Iterative Refinement of the Solution of a Positive Definite System of Equations", journal = j-NUM-MATH, volume = "8", number = "3", pages = "203--216", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 31--44]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iterative refinement; linear system; nla; positive definite matrix; software", } @Article{Bowdler:1966:SRC, author = "H. J. Bowdler and R. S. Martin and G. Peters and J. H. Wilkinson", title = "Solution of Real and Complex Systems of Linear Equations", journal = j-NUM-MATH, volume = "8", number = "3", pages = "217--234", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 93--110]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "linear system; lud; nla; software", } @Article{Stetter:1966:NAF, author = "Hans J. Stetter", title = "Numerical approximation of {Fourier}-transforms", journal = j-NUM-MATH, volume = "8", number = "3", pages = "235--249", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lambert:1966:GMM, author = "John D. Lambert and Brian Shaw", title = "A generalisation of multistep methods for ordinary differential equations", journal = j-NUM-MATH, volume = "8", number = "3", pages = "250--263", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wynn:1966:USR, author = "P. Wynn", title = "Upon systems of recursions which obtain among the quotients of the {Pad{\'e}} table", journal = j-NUM-MATH, volume = "8", number = "3", pages = "264--269", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Guderley:1966:RTP, author = "Karl G. Guderley and Paul J. Nikolai", title = "Reduction of two-point boundary value problems in a vector space to initial value problems by projection", journal = j-NUM-MATH, volume = "8", number = "3", pages = "270--289", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kerner:1966:GBN, author = "Immo O. Kerner", title = "{Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen}. ({German}) [{A} Complete Step Method for the Computation of Zeros of Polynomials]", journal = j-NUM-MATH, volume = "8", number = "3", pages = "290--294", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Barrodale:1966:ABL, author = "Ian Barrodale and Andrew Young", title = "Algorithms for best {$L_1$} and {$L_\infty$} linear approximations on a discrete set", journal = j-NUM-MATH, volume = "8", number = "3", pages = "295--306", month = may, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Broyden:1966:ASC, author = "C. G. Broyden and F. Ford", title = "An algorithm for the solution of certain kinds of linear equations", journal = j-NUM-MATH, volume = "8", number = "4", pages = "307--323", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Yamamoto:1966:CMD, author = "Tetsuro Yamamoto", title = "A computational method for the dominant root of a nonnegative irreducible matrix", journal = j-NUM-MATH, volume = "8", number = "4", pages = "324--333", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hammerlin:1966:AQA, author = "G{\"u}nther H{\"a}mmerlin", title = "{Zur Absch{\"a}tzung von Quadraturfehlern f{\"u}r analytische Funktionen}. ({German}) [{On} Bounds for Quadrature Error for Analytic Funktions]", journal = j-NUM-MATH, volume = "8", number = "4", pages = "334--344", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Meinguet:1966:MER, author = "J. Meinguet", title = "Methods for estimating the remainder in linear rules of approximation. {Application} to the {Romberg} algorithm", journal = j-NUM-MATH, volume = "8", number = "4", pages = "345--366", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gourlay:1966:SID, author = "A. R. Gourlay and A. R. Mitchell", title = "A stable implicit difference method for hyperbolic systems in two space variables", journal = j-NUM-MATH, volume = "8", number = "4", pages = "367--375", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Pereyra:1966:IAS, author = "Victor Pereyra", title = "On improving an approximate solution of a functional equation by deferred corrections", journal = j-NUM-MATH, volume = "8", number = "4", pages = "376--391", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gorenflo:1966:SAT, author = "Rudolf Gorenflo and Yehudith Kovetz", title = "Solution of an {Abel}-type integral equation in the presence of noise by quadratic programming", journal = j-NUM-MATH, volume = "8", number = "4", pages = "392--406", month = jun, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rudert:1966:UPL, author = "W. S. Rudert and H. G. Lill", title = "{{\"U}ber Partitionen und ein lineares diophantisches Problem}. ({German}) [{On} partitions and a linear {Diophantine} problem]", journal = j-NUM-MATH, volume = "8", number = "5", pages = "407--411", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Feb 22 18:39:08 2001", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Ponstein:1966:SCE, author = "J. Ponstein", title = "Splitting certain eigenvalue/eigenvector problems", journal = j-NUM-MATH, volume = "8", number = "5", pages = "412--421", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Clendenin:1966:MNC, author = "W. W. Clendenin", title = "A method for numerical calculation of {Fourier} integrals", journal = j-NUM-MATH, volume = "8", number = "5", pages = "422--436", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Porsching:1966:DST, author = "T. A. Porsching", title = "Diagonal similarity transformations which isolate {Gerschgorin} disks", journal = j-NUM-MATH, volume = "8", number = "5", pages = "437--443", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ninham:1966:GFD, author = "B. W. Ninham", title = "Generalised functions and divergent integrals", journal = j-NUM-MATH, volume = "8", number = "5", pages = "444--457", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lyness:1966:VMS, author = "J. N. Lyness and C. B. Moler", title = "{Van der Monde} Systems and Numerical Differentiation", journal = j-NUM-MATH, volume = "8", number = "5", pages = "458--464", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gragg:1966:TK, author = "W. B. Gragg and A. S. Householder", title = "On a Theorem of {K{\"o}nig}", journal = j-NUM-MATH, volume = "8", number = "5", pages = "465--468", month = aug, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Koenig's theorem; nlop", } @Article{Rutishauser:1966:JMR, author = "H. Rutishauser", title = "The {Jacobi} method for real symmetric matrices", journal = j-NUM-MATH, volume = "9", number = "1", pages = "1--10", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Also in \cite[pp. 202--211]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kempen:1966:CCJ, author = "H. P. M. van Kempen", title = "On the convergence of the classical {Jacobi} method for real symmetric matrices with non-distinct eigenvalues", journal = j-NUM-MATH, volume = "9", number = "1", pages = "11--18", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kempen:1966:QCS, author = "H. P. M. van Kempen", title = "On the quadratic convergence of the special cyclic {Jacobi} method", journal = j-NUM-MATH, volume = "9", number = "1", pages = "19--22", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rall:1966:CNP, author = "L. B. Rall", title = "Convergence of the {Newton} process to multiple solutions", journal = j-NUM-MATH, volume = "9", number = "1", pages = "23--37", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stroud:1966:SAI, author = "A. H. Stroud", title = "Some approximative integration formulas of degree $3$ for an $n$-dimensional simplex", journal = j-NUM-MATH, volume = "9", number = "1", pages = "38--45", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Householder:1966:STN, author = "A. S. Householder", title = "Separation theorems for normalizable matrices", journal = j-NUM-MATH, volume = "9", number = "1", pages = "46--50", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Buchanan:1966:UCM, author = "M. L. Buchanan and B. N. Parlett", title = "The uniform convergence of matrix powers", journal = j-NUM-MATH, volume = "9", number = "1", pages = "51--54", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lancaster:1966:EAN, author = "P. Lancaster", title = "Error analysis for the {Newton--Raphson} method", journal = j-NUM-MATH, volume = "9", number = "1", pages = "55--68", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nickel:1966:UNF, author = "Karl Nickel", title = "{{\"U}ber die Notwendigkeit einer Fehlerschranken-Arithmetik f{\"u}r Rechenautomaten}. ({German}) [{On} the Need for Interval Arithmetic on Computers]", journal = j-NUM-MATH, volume = "9", number = "1", pages = "69--79", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Nickel:1966:NBW, author = "Karl Nickel", title = "{Die numerische Berechnung der Wurzeln eines Polynoms}. ({German}) [{The} Numerical Computation of Polynomial Roots]", journal = j-NUM-MATH, volume = "9", number = "1", pages = "80--98", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Daniel:1966:CAM, author = "James W. Daniel", title = "Correcting approximations to multiple roots of polynomials", journal = j-NUM-MATH, volume = "9", number = "1", pages = "99--102", month = nov, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rutishauser:1966:BEO, author = "H. Rutishauser", title = "{Bestimmung der Eigenwerte orthogonaler Matrizen}. ({German}) [{Determination of the Eigenvalues of Orthogonal Matrices}]", journal = j-NUM-MATH, volume = "9", number = "2", pages = "104--108", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Fiedler:1966:MI, author = "Miroslav Fiedler", title = "Matrix inequalities", journal = j-NUM-MATH, volume = "9", number = "2", pages = "109--119", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Henrici:1966:TEE, author = "Peter Henrici and Pia Pfl{\"u}ger", title = "Truncation error estimates for {Stieltjes} fractions", journal = j-NUM-MATH, volume = "9", number = "2", pages = "120--138", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Golub:1966:NIR, author = "G. H. Golub and J. H. Wilkinson", title = "Note on the Iterative Refinement of Least Squares Solution", journal = j-NUM-MATH, volume = "9", number = "2", pages = "139--148", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.20", MRnumber = "35 \#3849", MRreviewer = "W. J. Kotz{\'e}", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/gvl.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "condition; iterative refinement; la; lsq; nla; pert", } @Article{Schroder:1966:OUI, author = "Johann Schr{\"o}der", title = "{Operator-Ungleichungen und ihre numerische Anwendung bei Randwertaufgaben}. ({German}) [{Operator inequalities and their numerical use in boundary value problems}]", journal = j-NUM-MATH, volume = "9", number = "2", pages = "149--162", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:48:34 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Fiedler:1966:SGP, author = "Miroslav Fiedler and Vlastimil Pt{\'a}k", title = "Some generalizations of positive definiteness and monotonicity", journal = j-NUM-MATH, volume = "9", number = "2", pages = "163--172", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bauer:1966:ISR, author = "F. L. Bauer", title = "Inclusion sets for roots of polynomials", journal = j-NUM-MATH, volume = "9", number = "2", pages = "173--176", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cody:1966:RCA, author = "W. J. Cody and J. Stoer", title = "Rational {Chebyshev} approximations using interpolation", journal = j-NUM-MATH, volume = "9", number = "3", pages = "177--188", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Cody:1968:CRC}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Robert:1966:RMP, author = "F. Robert", title = "Recherche d'une {$M$}-matrice parmi les minorantes d'un op{\'e}rateur lin{\'e}aire. ({French}) [{Search} for an {$M$}-Matrix among the Minorants of a Linear Operator]", journal = j-NUM-MATH, volume = "9", number = "3", pages = "189--199", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Stenger:1966:EBE, author = "Frank Stenger", title = "Error bounds for the evaluation of integrals by repeated {Gauss}-type formulae", journal = j-NUM-MATH, volume = "9", number = "3", pages = "200--213", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Penkov:1966:HMA, author = "B. Penkov and Bl. Sendov", title = "{Hausdorffsche Metrik und Approximationen}. ({German}) [{Hausdorff} Metric and Approximations]", journal = j-NUM-MATH, volume = "9", number = "3", pages = "214--226", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Klee:1966:CPD, author = "Victor Klee", title = "A comparison of primal and dual methods of linear programming", journal = j-NUM-MATH, volume = "9", number = "3", pages = "227--235", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bramble:1966:SOF, author = "James H. Bramble", title = "A second order finite difference analog of the first biharmonic boundary value problem", journal = j-NUM-MATH, volume = "9", number = "3", pages = "236--249", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Symm:1966:IEM, author = "George T. Symm", title = "An integral equation method in conformal mapping", journal = j-NUM-MATH, volume = "9", number = "3", pages = "250--258", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bradbury:1966:NIM, author = "W. W. Bradbury and R. Fletcher", title = "New Iterative Methods for Solution of the Eigenproblem", journal = j-NUM-MATH, volume = "9", number = "3", pages = "259--267", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradients; eig; nla; sparse", } @Article{Dejon:1966:AST, author = "B. Dejon", title = "Addendum to {``stronger than uniform convergence of multistep difference methods''}", journal = j-NUM-MATH, volume = "9", number = "3", pages = "268--270", month = dec, year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Dejon:1966:STU}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bulirsch:1967:NQE, author = "Roland Bulirsch and Josef Stoer", title = "Numerical quadrature by extrapolation", journal = j-NUM-MATH, volume = "9", number = "4", pages = "271--278", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Numerical Integration", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Martin:1967:SSU, author = "R. S. Martin and J. H. Wilkinson", title = "Solution of Symmetric and Unsymmetric Band Equations and the Calculation of Eigenvectors of Band Matrices", journal = j-NUM-MATH, volume = "9", number = "4", pages = "279--301", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 70--92]{Wilkinson:1971:LA}.", series = "Handbook Series Linear Algebra", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "band matrix; eig; linear system; nla; software", } @Article{Hofmann:1967:AED, author = "Peter Hofmann", title = "Asymptotic expansions of the discretization error of boundary value problems of the {Laplace} equation in rectangular domains", journal = j-NUM-MATH, volume = "9", number = "4", pages = "302--322", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Oliver:1967:REP, author = "J. Oliver", title = "Relative error propagation in the recursive solution of linear recurrence relations", journal = j-NUM-MATH, volume = "9", number = "4", pages = "323--340", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Urabe:1967:NSM, author = "Minoru Urabe", title = "Numerical solution of multi-point boundary value problems in {Chebyshev} series. Theory of the method", journal = j-NUM-MATH, volume = "9", number = "4", pages = "341--366", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Shaw:1967:SMF, author = "B. Shaw", title = "Some multistep formulae for special high order ordinary differential equations", journal = j-NUM-MATH, volume = "9", number = "4", pages = "367--378", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sauer:1967:AWE, author = "R. Sauer", title = "{Alwin Watther em. ord. Professor an der Technischen Hochschule Darmstadt}", journal = j-NUM-MATH, volume = "9", number = "4", pages = "379--379", month = feb, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed Jan 12 19:06:22 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bulirsch:1967:NCS, author = "Roland Bulirsch", title = "Numerical calculation of the sine, cosine and {Fresnel} integrals", journal = j-NUM-MATH, volume = "9", number = "5", pages = "380--385", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook Series Special Functions", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Barth:1967:CES, author = "R. S. Martin and W. Barth and J. H. Wilkinson", title = "Calculation of the Eigenvalues of a Symmetric Tridiagonal matrix by the Method of Bisection", journal = j-NUM-MATH, volume = "9", number = "5", pages = "386--393", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 249--256]{Wilkinson:1971:LA}.", series = "Handbook Series Linear Algebra", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; nla; software; Sturm sequence; symmetric matrix; tridiagonal matrix", } @Article{Ciarlet:1967:NMH, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {I}: {One} dimensional problem", journal = j-NUM-MATH, volume = "9", number = "5", pages = "394--430", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See birthday greetings \cite{Ciarlet:1998:ERV}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Merzrath:1967:DSP, author = "Ernst Merzrath", title = "Direct solution of partial difference equations", journal = j-NUM-MATH, volume = "9", number = "5", pages = "431--436", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Redheffer:1967:BUD, author = "R. M. Redheffer", title = "{Bemerkungen {\"u}ber Differentialungleichungen bei abz{\"a}hlbaren Ausnahmemengen}. ({German}) [{Remark} on Differential Equations for Countable Sets]", journal = j-NUM-MATH, volume = "9", number = "5", pages = "437--445", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Hodgkins:1967:RBD, author = "W. R. Hodgkins", title = "On the relation between dynamic relaxation and semi-iterative matrix methods", journal = j-NUM-MATH, volume = "9", number = "5", pages = "446--451", month = apr, year = "1967", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02162158", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 09:46:27 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gaier:1967:RCO, author = "Dieter Gaier and John Todd", title = "On the rate of convergence of optimal {ADI} processes", journal = j-NUM-MATH, volume = "9", number = "5", pages = "452--459", month = apr, year = "1967", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02162159", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 09:46:27 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stroud:1967:SFD, author = "A. H. Stroud", title = "Some fifth degree integration formulas for symmetric regions {II}", journal = j-NUM-MATH, volume = "9", number = "5", pages = "460--468", month = apr, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 09:46:27 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Metropolis:1967:SSN, author = "N. Metropolis and M. L. Stein and P. R. Stein", title = "Stable states of a non-linear transformation", journal = j-NUM-MATH, volume = "10", number = "1", pages = "1--19", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Eisen:1967:ESC, author = "Dennis Eisen", title = "The equivalence of stability and convergence for finite difference schemes with singular coefficients", journal = j-NUM-MATH, volume = "10", number = "1", pages = "20--29", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gries:1967:CCC, author = "David Gries", title = "Characterizations of certain classes of norms", journal = j-NUM-MATH, volume = "10", number = "1", pages = "30--41", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schmidt:1967:FPF, author = "Jochen W. Schmidt and Hartmut Dressel", title = "{Fehlerabsch{\"a}tzungen bei Polynomgleichungen mit dem Fixpunktsatz von Brouwer}. ({German}) [{Error estimates by polynomial equations with Brouwer's fixed point estimate}]", journal = j-NUM-MATH, volume = "10", number = "1", pages = "42--50", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:51:30 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Brosowski:1967:ERT, author = "Bruno Brosowski and Henry L. Loeb", title = "{Zur Eindeutigkeit der rationalen Tschebyscheff-Approximation an stetig differenzierbare Funktionen}. ({German}) [{On} the uniqueness of rational {Chebyshev} approximation of continuous differentiable functions]", journal = j-NUM-MATH, volume = "10", number = "1", pages = "51--55", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Fairweather:1967:SHA, author = "G. Fairweather and A. R. Gourlay and A. R. Mitchell", title = "Some high accuracy difference with a splitting operator for equations of parabolic and elliptic type", journal = j-NUM-MATH, volume = "10", number = "1", pages = "56--66", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Keast:1967:FDS, author = "P. Keast and A. R. Mitchell", title = "Finite difference solution of the third boundary problem in elliptic and parabolic equations", journal = j-NUM-MATH, volume = "10", number = "1", pages = "67--75", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Osborne:1967:NSP, author = "M. R. Osborne", title = "The numerical solution of a periodic parabolic problem subject to a nonlinear boundary condition", journal = j-NUM-MATH, volume = "10", number = "1", pages = "76--79", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Walter:1967:BIL, author = "Wolfgang Walter", title = "{Bemerkungen zu Iterationsverfahren bei linearen Gleichungssystemen}. ({German}) [{Remark} on Iteration Method for Linear Equation Systems]", journal = j-NUM-MATH, volume = "10", number = "1", pages = "80--85", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Pyle:1967:GIA, author = "L. Duane Pyle", title = "A generalized inverse $\epsilon$-algorithm for constructing intersection projection matrices, with applications", journal = j-NUM-MATH, volume = "10", number = "1", pages = "86--102", month = may, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Mehndiratta:1967:SSD, author = "S. L. Mehndiratta", title = "Symmetry and self-duality in nonlinear programming", journal = j-NUM-MATH, volume = "10", number = "2", pages = "103--109", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Tsuda:1967:MKP, author = "Takao Tsuda and Kozo Ichida and Takeshi Kiyono", title = "{Monte Carlo} path-integral calculations for two-point boundary-value problems", journal = j-NUM-MATH, volume = "10", number = "2", pages = "110--116", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Atkinson:1967:SNU, author = "Kendall E. Atkinson", title = "The solution of non-unique linear integral equations", journal = j-NUM-MATH, volume = "10", number = "2", pages = "117--124", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Daniel:1967:CCG, author = "James W. Daniel", title = "Convergence of the Conjugate Gradient Method with Computationally Convenient Modifications", journal = j-NUM-MATH, volume = "10", number = "2", pages = "125--131", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Maitre:1967:NCN, author = "Jean-Fran{\c{c}}ois Maitre", title = "Norme compos{\'e}e et norme associ{\'e}e g{\'e}n{\'e}ralis{\'e}e d'une matrice. ({French}) [{Composed} and Associative Generalized Matrix Norm]", journal = j-NUM-MATH, volume = "10", number = "2", pages = "132--141", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Loizou:1967:BIW, author = "G. Loizou", title = "Bounds for the inequality of {Wielandt}", journal = j-NUM-MATH, volume = "10", number = "2", pages = "142--146", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dunham:1967:TRC, author = "Charles B. Dunham", title = "Transformed rational {Chebyshev} approximation", journal = j-NUM-MATH, volume = "10", number = "2", pages = "147--152", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Elsner:1967:RBM, author = "L. Elsner and R. M. Redheffer", title = "Remarks on band matrices", journal = j-NUM-MATH, volume = "10", number = "2", pages = "153--161", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stewart:1967:GTF, author = "G. W. {Stewart III}", title = "A generalization of a theorem of {Fan} on {Gershgorin} disks", journal = j-NUM-MATH, volume = "10", pages = "162--162", year = "1967", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02174149", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 14:46:06 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See original paper by Fan at \path=https://doi.org/10.1215/S0012-7094-58-02538-9=, \path=https://zbmath.org/?q=an:0081.25202=.", URL = "http://zbmath.org/?q=an:0158.03504", ZMnumber = "0158.03504", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", GWS-number = "J2", journal-URL = "http://link.springer.com/journal/211", } @Article{Parlett:1967:CCQ, author = "Beresford Parlett", title = "Correction to convergence of the {QR} algorithm", journal = j-NUM-MATH, volume = "10", number = "2", pages = "163--164", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cryer:1967:CLE, author = "C. W. Cryer", title = "On the calculation of the largest eigenvalue of an integral equation", journal = j-NUM-MATH, volume = "10", number = "2", pages = "165--176", month = jul, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Reinsch:1967:SSF, author = "Christian H. Reinsch", title = "Smoothing by spline functions", journal = j-NUM-MATH, volume = "10", number = "3", pages = "177--183", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Goldstein:1967:EAM, author = "A. A. Goldstein and J. F. Price", title = "An effective algorithm for minimization", journal = j-NUM-MATH, volume = "10", number = "3", pages = "184--189", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Laurent:1967:TCM, author = "P. J. Laurent", title = "Th{\'e}or{\`e}mes de caract{\'e}risation d'une meilleure approximation dans un espace norme et g{\'e}n{\'e}ralisation de l'algorithme de {Remes}. ({French}) [{Theorems} for Characterizing the Best Approximation in a Normed Space and Generalization of the {Remes} Algorithm]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "190--208", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Ansorge:1967:KML, author = "Rainer Ansorge", title = "{Konvergenz von Mehrschrittverfahren zur L{\"o}sung halblinearer Anfangswertaufgaben}. ({German}) [{Convergence} of a multistep method for solution of half-linear initial-value problems]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "209--219", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri Feb 23 06:39:53 2001", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bohl:1967:NAH, author = "Erich Bohl", title = "{Nichtlineare Aufgaben in halbgeordneten R{\"a}umen}. ({German}) [{Nonlinear} problems in half-ordered spaces]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "220--231", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Feb 22 18:40:20 2001", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Smith:1967:CNM, author = "R. A. Smith", title = "The condition numbers of the matrix eigenvalue problem", journal = j-NUM-MATH, volume = "10", number = "3", pages = "232--240", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kadner:1967:NBI, author = "Horst Kadner", title = "{Die numerische Behandlung von Integralgleichungen nach der Kollokationsmethode}. ({German}) [{The} numerical treatment of integral equations in the collocation method]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "241--260", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Lehmann:1967:FND, author = "N. J. Lehmann", title = "{Fehlerschranken f{\"u}r N{\"a}herungsl{\"o}sungen bei Differentialgleichungen}. ({German}) [{Error} bounds for approximate solutions of differential equations]", journal = j-NUM-MATH, volume = "10", number = "3", pages = "261--288", month = oct, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Feb 22 18:41:56 2001", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Werner:1967:RCA, author = "H. Werner and J. Stoer and W. Bommas", title = "Rational {Chebyshev} approximation", journal = j-NUM-MATH, volume = "10", number = "4", pages = "289--306", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cooper:1967:SSM, author = "G. J. Cooper and E. Gal", title = "Single step methods for linear differential equations", journal = j-NUM-MATH, volume = "10", number = "4", pages = "307--315", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Pereyra:1967:IDC, author = "Victor Pereyra", title = "Iterated deferred corrections for nonlinear operator equations", journal = j-NUM-MATH, volume = "10", number = "4", pages = "316--323", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ryan:1967:SMC, author = "Joseph T. Ryan", title = "A sieve method for classifying composite numbers", journal = j-NUM-MATH, volume = "10", number = "4", pages = "324--326", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{McNamee:1967:CFS, author = "J. McNamee and F. Stenger", title = "Construction of fully symmetric numerical integration formulas", journal = j-NUM-MATH, volume = "10", number = "4", pages = "327--344", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schultz:1967:S, author = "M. H. Schultz and R. S. Varga", title = "{L}-splines", journal = j-NUM-MATH, volume = "10", number = "4", pages = "345--369", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Meinguet:1967:OAE, author = "J. Meinguet", title = "Optimal approximation and error bounds in seminormed spaces", journal = j-NUM-MATH, volume = "10", number = "4", pages = "370--388", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Miller:1967:PBO, author = "John J. H. Miller", title = "On power-bounded operators and operators satisfying a resolvent condition", journal = j-NUM-MATH, volume = "10", number = "5", pages = "389--396", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Eisen:1967:NS, author = "Dennis Eisen", title = "{On the numerical solution of $u_t = u\sb{rr} +{2\over r} u_r$}", journal = j-NUM-MATH, volume = "10", number = "5", pages = "397--409", month = nov, year = "1967", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Forster:1967:EFG, author = "Peter F{\"o}rster", title = "{Existenzaussagen und Fehlerabsch{\"a}tzungen bei gewissen nichtlinearen Randwertaufgaben mit gew{\"o}hnlichen Differentialgleichungen}. ({German}) [{Existence statement and error bounds for certain nonlinear boundary value problems with ordinary differential equations}]", journal = j-NUM-MATH, volume = "10", number = "5", pages = "410--422", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02162874", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 09:53:27 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Stoss:1967:VBC, author = "Hanns-J{\"o}rg Stoss", title = "{Ein Verfahren zur Berechnung des charakteristischen Exponenten der Differentialgleichung $y'' + (\lambda + 2\lambda1cos\chi + 2\lambda 2 cos 2\chi) y = 0$}. ({German}) [{A} procedure for the computation of the characteristic exponent of the differential equation $y'' + (\lambda + 2\lambda1cos\chi + 2\lambda 2 cos 2\chi) y = 0$]", journal = j-NUM-MATH, volume = "10", number = "5", pages = "423--436", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02162875", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 09:53:27 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Symm:1967:NME, author = "George T. Symm", title = "Numerical mapping of exterior domains", journal = j-NUM-MATH, volume = "10", number = "5", pages = "437--445", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02162876", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 09:53:27 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dixon:1967:HSC, author = "John D. Dixon", title = "High speed computation of group characters", journal = j-NUM-MATH, volume = "10", number = "5", pages = "446--450", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02162877", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 09:53:27 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Menzel:1967:AUA, author = "M. Menzel and N. Metropolis", title = "Algorithms in unnormalized arithmetic {II}. Unrestricted polynomial evaluation", journal = j-NUM-MATH, volume = "10", number = "5", pages = "451--462", month = nov, year = "1967", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02162878", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 09:53:27 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Eberlein:1968:SEN, author = "P. J. Eberlein and J. Boothroyd", title = "Solution to the Eigenproblem by a Norm Reducing {Jacobi} Type Method", journal = j-NUM-MATH, volume = "11", number = "1", pages = "1--12", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 327--338]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; Jacobi-like; nla; nonsymmetric matrix; software", } @Article{McAllister:1968:PBD, author = "G. T. McAllister", title = "A priori bounds on difference quotients of solutions to some linear uniformly elliptic difference equations", journal = j-NUM-MATH, volume = "11", number = "1", pages = "13--37", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Anselone:1968:SCV, author = "P. M. Anselone and L. B. Rall", title = "The solution of characteristic value-vector problems by {Newton}'s method", journal = j-NUM-MATH, volume = "11", number = "1", pages = "38--45", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Heller:1968:UPC, author = "Sidney Heller", title = "On the uniform positivity of a certain finite difference matrix", journal = j-NUM-MATH, volume = "11", number = "1", pages = "46--52", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schmidt:1968:AEK, author = "Jochen W. Schmidt", title = "{Asymptotische Einschlie{\ss}ung bei konvergenzbeschleunigenden Verfahren. II}. ({German}) [{Asymptotic enclosure with convergence acceleration method. II}]", journal = j-NUM-MATH, volume = "11", number = "1", pages = "53--56", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Forsythe:1968:ADD, author = "George E. Forsythe", title = "On the asymptotic directions of the $s$-dimensional optimum gradient method", journal = j-NUM-MATH, volume = "11", number = "1", pages = "57--76", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lynn:1968:NSS, author = "M. Stuart Lynn and William P. Timlake", title = "The numerical solution of singular integral equations of potential theory", journal = j-NUM-MATH, volume = "11", number = "1", pages = "77--98", month = jan, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Martin:1968:RSE, author = "R. S. Martin and J. H. Wilkinson", title = "Reduction of the Symmetric Eigenproblem {$Ax = \lambda Bx$} and Related Problems to Standard Form", journal = j-NUM-MATH, volume = "11", number = "2", pages = "99--110", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 303--314]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "geig; nla; software; symmetric matrix", } @Article{Pereyra:1968:IDC, author = "Victor Pereyra", title = "Iterated deferred corrections for nonlinear boundary value problems", journal = j-NUM-MATH, volume = "11", number = "2", pages = "111--125", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Householder:1968:MCR, author = "A. S. Householder", title = "Moments and characteristic roots. {II}", journal = j-NUM-MATH, volume = "11", number = "2", pages = "126--128", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; la; pert", } @Article{Bittner:1968:AVH, author = "L. Bittner", title = "{Absch{\"a}tzungen bei Variationsmethoden mit Hilfe von Dualit{\"a}tss{\"a}tzen. I}. ({German}) [{Bounds} of the Variational Method with the Aid of the Duality Principle. {I}]", journal = j-NUM-MATH, volume = "11", number = "2", pages = "129--143", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Mueller:1968:ELA, author = "Heinrich N. M{\"u}ller", title = "{Zur Eindeutigkeit bei der linearen Approximation im allgemeinen sowie Tschebyscheffschen Fall}. ({German}) [{On} the Uniqueness of the Linear Approximation in General as Well as {Chebyshev} Cases]", journal = j-NUM-MATH, volume = "11", number = "2", pages = "144--150", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Werner:1968:NSS, author = "Wolfgang Werner", title = "Numerical solution of systems of quasilinear hyperbolic differential equations by means of the method of nebencharacteristics in combination with extrapolation methods", journal = j-NUM-MATH, volume = "11", number = "2", pages = "151--169", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kempfert:1968:SDR, author = "H. Kempfert", title = "On sign determinations in real algebraic number fields", journal = j-NUM-MATH, volume = "11", number = "2", pages = "170--174", month = feb, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Apostolatos:1968:ALT, author = "N. Apostolatos and U. Kulisch and R. Krawczyk and B. Lortz and K. Nickel and H. W. Wippermann", title = "The algorithmic language {Triplex-ALGOL 60}", journal = j-NUM-MATH, volume = "11", number = "2", pages = "175--180", month = feb, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02165313", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "From the first page: ``triplex numbers, previously called Fehlerschrankenzahlen by K. Nickel and interval numbers by R. E. Moore. \ldots{} Triplex numbers are intervals with a main value enclosed, which corresponds to conventional numbers of {\bf real} type. The first number following $[$ is the lower bound of the interval associated with a triplex number, the next number is the previous mentioned main value, and the last number followed by $]$ is the upper bound of the interval. The following relation has to be fulfilled: $\mbox{lower bound} \leq \mbox{main value} \leq \mbox{upper bound}$.''.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Martin:1968:HTS, author = "R. S. Martin and C. Reinsch and J. H. Wilkinson", title = "{Householder}'s tridiagonalization of a symmetric matrix", journal = j-NUM-MATH, volume = "11", number = "3", pages = "181--195", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 212--226]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022); James H. Wilkinson (27 September 1919--5 October 1986)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; Householder transformation; nla; software; symmetric matrix; tridiagonal matrix", } @Article{Thomee:1968:EDE, author = "Vidar Thom{\'e}e and Bertil Westergren", title = "Elliptic difference equations and interior regularity", journal = j-NUM-MATH, volume = "11", number = "3", pages = "196--210", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Yamamoto:1968:ECO, author = "Tetsuro Yamamoto", title = "On the eigenvalues of compact operators in a {Hilbert} space", journal = j-NUM-MATH, volume = "11", number = "3", pages = "211--219", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Krabs:1968:LOH, author = "Werner Krabs", title = "{Lineare Optimierung in halbgeordneten Vektorr{\"a}umen}. ({German}) [{Linear} Optimization in Half-Ordered Vector Spaces]", journal = j-NUM-MATH, volume = "11", number = "3", pages = "220--231", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Birkhoff:1968:PHI, author = "G. Birkhoff and M. H. Schultz and R. S. Varga", title = "Piecewise {Hermite} interpolation in one and two variables with applications to partial differential equations", journal = j-NUM-MATH, volume = "11", number = "3", pages = "232--256", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{DeMeersman:1968:MG, author = "R. {De Meersman}", title = "The method of {Garabedian}", journal = j-NUM-MATH, volume = "11", number = "3", pages = "257--263", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Reinsch:1968:RTN, author = "C. Reinsch and F. L. Bauer", title = "Rational {$ Q R $} Transformation with {Newton} Shift for Symmetric Tridiagonal Matrices", journal = j-NUM-MATH, volume = "11", number = "3", pages = "264--272", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 257--272]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; nla; QR algorithm; software; symmetric matrix; tridiagonal Matrix", } @Article{Stroud:1968:SSD, author = "A. H. Stroud", title = "Some seventh degree integration formulas for the surface of an $n$-sphere", journal = j-NUM-MATH, volume = "11", number = "3", pages = "273--276", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Felsch:1968:UPB, author = "V. Felsch and J. Neub{\"u}ser", title = "{{\"U}ber ein Programm zu Berechnung der Automorphismengruppe einer endlichen Gruppe}. ({German}) [{On} a Program for Computation of the Automorphism Group of a Finite Group]", journal = j-NUM-MATH, volume = "11", number = "3", pages = "277--292", month = mar, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bowdler:1968:ASM, author = "Hilary J. Bowdler and R. S. Martin and C. Reinsch and J. H. Wilkinson", title = "The {$ Q R $} and {$ Q L $} Algorithms for Symmetric Matrices", journal = j-NUM-MATH, volume = "11", number = "4", pages = "293--306", month = may, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02166681", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 227--240]{Wilkinson:1971:LA}.", author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022); James H. Wilkinson (27 September 1919--5 October 1986)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; nla; QR algorithm; software; symmetric matrix", } @Article{Kschwendt:1968:CLM, author = "H. Kschwendt", title = "Convergence limits in the {Monte Carlo} theory of integral equations", journal = j-NUM-MATH, volume = "11", number = "4", pages = "307--314", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Polya:1968:GME, author = "George P{\'o}lya", title = "{Graeffe}'s method for eigenvalues", journal = j-NUM-MATH, volume = "11", number = "4", pages = "315--319", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Medley:1968:SIGa, author = "Helen I. Medley and Richard S. Varga", title = "On Smallest Isolated {Gerschgorin} Disks for Eigenvalues. {II}", journal = j-NUM-MATH, volume = "11", number = "4", pages = "320--323", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dennis:1968:NLM, author = "J. E. {Dennis, Jr.}", title = "On {Newton}-like methods", journal = j-NUM-MATH, volume = "11", number = "4", pages = "324--330", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ciarlet:1968:NMHa, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {II}: Nonlinear boundary conditions", journal = j-NUM-MATH, volume = "11", number = "4", pages = "331--345", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nitsche:1968:KQO, author = "Joachim A. Nitsche", title = "{Ein Kriterium f{\"u}r die Quasi-Optimalit{\"a}t des Titzschen Verfahrens}. ({German}) [{A} Criterion for the Quasi-Optimality of {Titzche} Methods]", journal = j-NUM-MATH, volume = "11", number = "4", pages = "346--348", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Oliver:1968:NSL, author = "J. Oliver", title = "The numerical solution of linear recurrence relations", journal = j-NUM-MATH, volume = "11", number = "4", pages = "349--360", month = may, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Medley:1968:SIGb, author = "Helen I. Medley and Richard S. Varga", title = "On Smallest Isolated {Gerschgorin} Disks for Eigenvalues. {III}", journal = j-NUM-MATH, volume = "11", number = "5", pages = "361--369", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02161884", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; Gerschgorin's theorem; la", } @Article{Gragg:1968:TEB, author = "William B. Gragg", title = "Truncation error bounds for $g$-fractions", journal = j-NUM-MATH, volume = "11", number = "5", pages = "370--379", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02161885", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wendland:1968:BRI, author = "Wolfgang Wendland", title = "{Die Behandlung von Randwertaufgaben im $R_3$ mit Hilfe von Einfach- und Doppelschichtpotentialen}. ({German}) [{The} treatment of boundary-value problems in ${R}_3$ by simple and double blocking layer potentials]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "380--404", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02161886", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bode:1968:MUS, author = "Albert Bode", title = "{Matrizielle untere Schranken linearer Abbildungen und $M$-Matrizen}. ({German}) [{Matrix} lower bounds of linear transformations and ${M}$ Matrices]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "", month = jun, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Wood:1968:ENM, author = "W. L. Wood", title = "On an explicit numerical method for solving the biharmonic equation", journal = j-NUM-MATH, volume = "11", number = "5", pages = "413--426", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02161888", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Jeggle:1968:DKF, author = "Hansgeorg Jeggle", title = "{Zur Diskretisierung einer Klasse Fredholmscher Integralgleichungen mit singul{\~a}rem Wert der Ordnung $1$}. ({German}) [On the discretisation of a class of {Fredholm} integral equations with singular values of order $1$]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "427--443", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02161889", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Kulisch:1968:RZM, author = "U. Kulisch", title = "{{\"U}ber regul{\"a}re Zerlegungen von Matrizen und einige Anwendungen}. ({German}) [{On} Regular Dismantlings of Stencils and Some Applications]", journal = j-NUM-MATH, volume = "11", number = "5", pages = "444--449", month = jun, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02161890", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Eckhardt:1968:EEW, author = "Ulrich Eckhardt", title = "{Einige Eigenschaften Wilfscher Quadraturformeln}. ({German}) [{Some} Eigenvalues of the {Wilf} Quadrature Formula]", journal = j-NUM-MATH, volume = "12", number = "1", pages = "1--7", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Dunham:1968:TRC, author = "Charles B. Dunham", title = "Transformed rational {Chebyshev} approximation. {II}", journal = j-NUM-MATH, volume = "12", number = "1", pages = "8--10", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Watt:1968:CCS, author = "J. M. Watt", title = "Consistency, Convergence and Stability of General Discretizations of the Initial Value Problem", journal = j-NUM-MATH, volume = "12", number = "1", pages = "11--22", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Moore:1968:ANO, author = "Robert H. Moore", title = "Approximations to nonlinear operator equations and {Newton}'s method", journal = j-NUM-MATH, volume = "12", number = "1", pages = "23--34", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hadeler:1968:NVI, author = "K. P. Hadeler", title = "{Newton-Verfahren f{\"u}r inverse Eigenwertaufgaben}. ({German}) [{Newton} Method for Inverse Eigenvalue Problems]", journal = j-NUM-MATH, volume = "12", number = "1", pages = "35--39", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Pomentale:1968:DRL, author = "Tomaso Pomentale", title = "On discrete rational least squares approximation", journal = j-NUM-MATH, volume = "12", number = "1", pages = "40--46", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Broyden:1968:SAC, author = "C. G. Broyden", title = "Some aspects of consistent ordering", journal = j-NUM-MATH, volume = "12", number = "1", pages = "47--56", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brosowski:1968:RTA, author = "Bruno Brosowski and Josef Stoer", title = "{Zur rationalen Tschebyscheff-Approximation differenzierbarer und analytischer Funktionen}. ({German}) [{On} a rational {Chebyshev} approximation of differentiable and analytic functions]", journal = j-NUM-MATH, volume = "12", number = "1", pages = "57--65", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:48:49 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Anselone:1968:GMC, author = "P. M. Anselone and P. J. Laurent", title = "A general method for the construction of interpolating or smoothing spline-functions", journal = j-NUM-MATH, volume = "12", number = "1", pages = "66--82", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Marshall:1968:SMA, author = "Albert W. Marshall and Ingram Olkin", title = "Scaling of matrices to achieve specified row and column sums", journal = j-NUM-MATH, volume = "12", number = "1", pages = "83--90", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bauer:1968:FVG, author = "F. L. Bauer", title = "Fields of values and {Gershgorin} disks", journal = j-NUM-MATH, volume = "12", number = "2", pages = "91--95", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zenger:1968:CPB, author = "Chr. Zenger", title = "On convexity properties of the {Bauer} field of values of a matrix", journal = j-NUM-MATH, volume = "12", number = "2", pages = "96--105", month = aug, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02173403", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Maitre:1968:CNA, author = "Jean-Fran{\c{c}}ois Ma{\^\i}tre", title = "Sur une classe de normes et l'analyse a posteriori d'un syst{\`e}me lin{\'e}aire. ({French}) [{On} a Class of Norms and the {A} Posteriori Analysis of a Linear System ]", journal = j-NUM-MATH, volume = "12", number = "2", pages = "106--110", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Ghizzetti:1968:PCQ, author = "Aldo Ghizzetti", title = "Procedure for constructing quadrature formulae on infinite intervals", journal = j-NUM-MATH, volume = "12", number = "2", pages = "111--119", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ciarlet:1968:NMHb, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {III}: {Eigenvalue} problems", journal = j-NUM-MATH, volume = "12", number = "2", pages = "120--133", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wets:1968:TAC, author = "R. J.-B. Wets and Christoph Witzgall", title = "Towards an algebraic characterization of convex polyhedral cones", journal = j-NUM-MATH, volume = "12", number = "2", pages = "134--138", month = aug, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02173407", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stetter:1968:INM, author = "Hans J. Stetter", title = "Instability and non-monotonicity phenomena in discretizations to boundary value problems", journal = j-NUM-MATH, volume = "12", number = "2", pages = "139--145", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stoer:1968:LBM, author = "Josef Stoer", title = "Lower bounds of matrices", journal = j-NUM-MATH, volume = "12", number = "2", pages = "146--158", month = aug, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Neckermann:1968:UAD, author = "L. Neckermann and P. O. Runck", title = "{{\"U}ber Approximationseigenschaften differenzierter Lagrangescher Interpolationspolynome mit Jacobischen Abszissen}. ({German}) [{On} Approximate Eigenvalues of Differentiated {Lagrangian} Interpolation Polynomials with {Jacobian} Abscissas]", journal = j-NUM-MATH, volume = "12", number = "3", pages = "159--169", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Roark:1968:EDI, author = "A. L. Roark and L. F. Shampine", title = "On the eigenproblem for displacement integral equations", journal = j-NUM-MATH, volume = "12", number = "3", pages = "170--179", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gourlay:1968:HAD, author = "A. R. Gourlay and A. R. Mitchell", title = "High accuracy {A.D.I.} methods for parabolic equations with variable coefficients", journal = j-NUM-MATH, volume = "12", number = "3", pages = "180--185", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brown:1968:NLI, author = "Kenneth M. Brown and J. E. {Dennis, Jr.}", title = "On {Newton}-Like Iteration Functions: General Convergence Theorems and a Specific Algorithm", journal = j-NUM-MATH, volume = "12", number = "3", pages = "186--191", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Newton's method; nlop", } @Article{Atteia:1968:FSD, author = "Marc Atteia", title = "Fonctions `spline' d{\'e}finies sur un ensemble convexe. ({French}) [{Spline} Functions Defined on a Convex Set]", journal = j-NUM-MATH, volume = "12", number = "3", pages = "192--210", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Forster:1968:BIS, author = "Peter Forster", title = "{Bemerkungen zum Iterationsverfahren von Schulz zur Bestimmung der Inversen einer Matrix}. ({German}) [{Remarks} on {Schulz}'s iterative method for computing the inverse of a matrix]", journal = j-NUM-MATH, volume = "12", number = "3", pages = "211--214", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bernal:1968:GTC, author = "M. J. M. Bernal and J. H. Verner", title = "On Generalizations of the Theory of Consistent Orderings for Successive Over-Relaxation Methods", journal = j-NUM-MATH, volume = "12", number = "3", pages = "215--222", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", annote = "Cited in \cite{govl:89}.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iter; linear system; nla; relaxation", } @Article{Kreiss:1968:NSS, author = "Heinz-Otto Kreiss", title = "On the numerical solution of the spherically symmetric diffusion equation", journal = j-NUM-MATH, volume = "12", number = "3", pages = "223--225", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Manas:1968:FAV, author = "Miroslav Ma{\v{n}}as and Josef Nedoma", title = "Finding all vertices of a convex polyhedron", journal = j-NUM-MATH, volume = "12", number = "3", pages = "226--229", month = oct, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02162916", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "Graphics/siggraph/pre75.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", oldlabel = "geom-397", } @Article{Cody:1968:CRC, author = "W. J. Cody and J. Stoer", title = "Corrigendum: ``{Rational Chebyshev} approximations using interpolation''", journal = j-NUM-MATH, volume = "12", number = "3", pages = "230--230", month = oct, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Sep 27 17:57:49 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Cody:1966:RCA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schwarz:1968:TSB, author = "H. R. Schwarz", title = "Tridiagonalization of a symmetric band matrix", journal = j-NUM-MATH, volume = "12", number = "4", pages = "231--241", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Also in \cite[pp. 273--283]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cody:1968:RCA, author = "W. J. Cody and W. Fraser and J. F. Hart", title = "Rational {Chebyshev} approximation using linear equations", journal = j-NUM-MATH, volume = "12", number = "4", pages = "242--251", month = nov, year = "1968", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02162506", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lyness:1968:CSI, author = "J. N. Lyness", title = "The calculation of {Stieltjes'} integral", journal = j-NUM-MATH, volume = "12", number = "4", pages = "252--265", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ciarlet:1968:NMHc, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {IV}: {Periodic} boundary conditions", journal = j-NUM-MATH, volume = "12", number = "4", pages = "266--279", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Osborne:1968:NSP, author = "M. R. Osborne", title = "The numerical solution of a periodic parabolic problem subject to a nonlinear boundary condition. {II}", journal = j-NUM-MATH, volume = "12", number = "4", pages = "280--287", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Heesterman:1968:SSA, author = "A. R. G. Heesterman", title = "Special simplex algorithm for multi-sector problems", journal = j-NUM-MATH, volume = "12", number = "4", pages = "288--306", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Walter:1968:LNP, author = "Wolfgang Walter", title = "{Die Linienmethode bei nichtlinearen parabolischen Differentialgleichungen}. ({German}) [{The} Line Method for Nonlinear Parabolic Differential Equations]", journal = j-NUM-MATH, volume = "12", number = "4", pages = "307--321", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Keast:1968:TBV, author = "P. Keast", title = "The third boundary value problem for elliptic equations", journal = j-NUM-MATH, volume = "12", number = "4", pages = "322--326", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Karamardian:1968:ESC, author = "S. Karamardian", title = "Existence of solutions of certain systems of nonlinear inequalities", journal = j-NUM-MATH, volume = "12", number = "4", pages = "327--334", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cryer:1968:PSG, author = "C. W. Cryer", title = "Pivot Size in {Gaussian} Elimination", journal = j-NUM-MATH, volume = "12", number = "4", pages = "335--345", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Businger:1968:MWC, author = "P. A. Businger", title = "Matrices Which Can Be Optimally Scaled", journal = j-NUM-MATH, volume = "12", number = "4", pages = "346--348", month = nov, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Martin:1968:SRG, author = "Roger S. Martin and J. H. Wilkinson", title = "Similarity Reduction of a General Matrix to {Hessenberg} Form", journal = j-NUM-MATH, volume = "12", number = "5", pages = "349--368", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 339--358]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; Hessenberg matrix; nla; nonsymmetric matrix; software", } @Article{Martin:1968:MAC, author = "Roger S. Martin and J. H. Wilkinson", title = "The Modified {$LR$} Algorithm for Complex {Hessenberg} Matrices", journal = j-NUM-MATH, volume = "12", number = "5", pages = "369--376", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 396--403]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex matrix; eig; Hessenberg matrix; LR algorithm; nla; software", } @Article{Martin:1968:IA, author = "R. S. Martin and J. H. Wilkinson", title = "The Implicit {$QL$} Algorithm", journal = j-NUM-MATH, volume = "12", number = "5", pages = "377--383", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp.~241--248]{Wilkinson:1971:LA}, where A. A. Dubrulle is listed as the lead author.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; nla; QL algorithm; QR algorithm; software; tridiagonal matrix", } @Article{Barnhill:1968:APM, author = "Robert E. Barnhill", title = "Asymptotic properties of minimum norm and optimal quadratures", journal = j-NUM-MATH, volume = "12", number = "5", pages = "384--393", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zlamal:1968:FEM, author = "Milo{\v{s}} Zl{\'a}mal", title = "On the finite element method", journal = j-NUM-MATH, volume = "12", number = "5", pages = "394--409", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Shampine:1968:EBV, author = "L. F. Shampine", title = "Error bounds and variational methods for nonlinear boundary value problems", journal = j-NUM-MATH, volume = "12", number = "5", pages = "410--415", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Fraser:1968:AUA, author = "M. Fraser and N. Metropolis", title = "Algorithms in unnormalized arithmetic. {III}: {Matrix} inversion", journal = j-NUM-MATH, volume = "12", number = "5", pages = "416--428", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Loizou:1968:MCS, author = "G. Loizou", title = "On matrices with a checkerboard sign distribution", journal = j-NUM-MATH, volume = "12", number = "5", pages = "429--430", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Noltemeier:1968:A, author = "H. Noltemeier and M. Ost", title = "{Zum Auswahlproblem}. ({German}) [{On} the Selection Problem]", journal = j-NUM-MATH, volume = "12", number = "5", pages = "431--434", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Goel:1968:CBF, author = "J.-J. Go{\"e}l", title = "Construction of basic functions for numerical utilisation of {Ritz}'s method", journal = j-NUM-MATH, volume = "12", number = "5", pages = "435--447", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schafke:1968:ZGL, author = "F. W. Sch{\"a}fke", title = "{Zum Zeilensummenkriterium}. (German) [{On} the line sum criterion]", journal = j-NUM-MATH, volume = "12", number = "5", pages = "448--453", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:26:57 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Sunouchi:1968:PTD, author = "Haruo Sunouchi", title = "Perturbation theory of difference schemes", journal = j-NUM-MATH, volume = "12", number = "5", pages = "454--458", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:26:57 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Oliver:1968:EOE, author = "J. Oliver", title = "An extension of {Olver}'s error estimation technique for linear recurrence relations", journal = j-NUM-MATH, volume = "12", number = "5", pages = "459--467", month = dec, year = "1968", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:26:57 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bauer:1969:ROS, author = "F. L. Bauer", title = "Remarks on Optimally Scaled Matrices", journal = j-NUM-MATH, volume = "13", number = "1", pages = "1--3", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rutishauser:1969:CAF, author = "Heinz Rutishauser", title = "Computational aspects of {F. L. Bauer}'s simultaneous iteration method", journal = j-NUM-MATH, volume = "13", number = "1", pages = "4--13", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Verner:1969:OSI, author = "J. H. Verner", title = "The Order of Some Implicit {Runge--Kutta} Methods", journal = j-NUM-MATH, volume = "13", number = "1", pages = "14--23", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Werner:1969:ENG, author = "Jochen Werner", title = "{Einschlie{\ss}ungssa{\"a}tze bei nichtlinearen gew{\"o}nlichen Randwertaufgaben und erzwungene Schwingungen}. ({German}) [{Enclosure} Principles for Nonlinear Ordinary Boundary Value Problems and Forced Vibrations]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "24--38", month = mar, year = "1969", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02165271", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Ade:1969:IHO, author = "Hans Ade", title = "{Iterationsverfahren h{\"o}herer Ordnung in Banach-R{\"a}umen}. ({German}) [{Iteration} Methods of Higher-Order in {Banach} Spaces]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "39--50", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Ciarlet:1969:NMH, author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga", title = "Numerical methods of high-order accuracy for nonlinear boundary value problems. {V}: Monotone Operator Theory", journal = j-NUM-MATH, volume = "13", number = "1", pages = "51--77", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Natterer:1969:EGE, author = "Frank Natterer", title = "{Einschlie{\ss}ungen f{\"u}r die gro{\ss}en Eigenwerte gew{\"o}nlicher Differentialgleichungen zweiter und vierter Ordnung}. ({German}) [{Bounds for the large eigenvalues of second- and fourth-order ordinary differential equations}]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "78--93", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Ehresmann:1969:ABA, author = "Dietbert Ehresmann", title = "{Zur Absch{\"a}tzung des Bestapproximationsfehlers bei der Approximation differenzierbarer Funktionen durch Polynome}. ({German}) [{Toward} Approximation of Best Approximation Errors for the Approximation of Differentiable Functions by Polynomials]", journal = j-NUM-MATH, volume = "13", number = "1", pages = "94--100", month = mar, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bramble:1969:CDA, author = "J. H. Bramble", title = "On the convergence of difference approximations to weak solutions of {Dirichlet}'s problem", journal = j-NUM-MATH, volume = "13", number = "2", pages = "101--111", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Werner:1969:UZI, author = "H. Werner and Dietrich Braess", title = "{{\"U}ber den Zusammenhang von Interpolation und diskreter $T$-Approximation mit rationalen Funktionen}. ({German}) [{On} the Coherence of Interpolation and Discrete {$T$} Approximation with Rational Functions]", journal = j-NUM-MATH, volume = "13", number = "2", pages = "112--128", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Anderssen:1969:NSP, author = "R. S. Anderssen", title = "The numerical solution of parabolic differential equations using variational methods", journal = j-NUM-MATH, volume = "13", number = "2", pages = "129--145", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sreedharan:1969:SOL, author = "V. P. Sreedharan", title = "Solutions of overdetermined linear equations which minimize error in an abstract norm", journal = j-NUM-MATH, volume = "13", number = "2", pages = "146--151", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Osborn:1969:NPT, author = "John E. Osborn", title = "A note on a perturbation theorem for the matrix eigenvalue problem", journal = j-NUM-MATH, volume = "13", number = "2", pages = "152--153", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stiefel:1969:SCM, author = "E. Stiefel and D. G. Bettis", title = "Stabilization of {Cowell}'s method", journal = j-NUM-MATH, volume = "13", number = "2", pages = "154--175", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Squier:1969:OSM, author = "D. P. Squier", title = "One-step methods for ordinary differential equations", journal = j-NUM-MATH, volume = "13", number = "2", pages = "176--179", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Perrin:1969:HON, author = "F. M. Perrin and H. S. Price and R. S. Varga", title = "On higher-order numerical methods for nonlinear two-point boundary value problems", journal = j-NUM-MATH, volume = "13", number = "2", pages = "180--198", month = may, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Osborne:1969:EBA, author = "M. R. Osborne and G. A. Watson", title = "On estimating best approximations of functions defined by differential equations", journal = j-NUM-MATH, volume = "13", number = "3", pages = "199--206", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:06:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Marek:1969:RSC, author = "Ivo Marek", title = "On the row sum criterion and the convergence of some iterative processes", journal = j-NUM-MATH, volume = "13", number = "3", pages = "207--216", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 11:19:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ansorge:1969:KDQ, author = "Rainer Ansorge", title = "{Konvergenz von Differenzenverfahren f{\"u}r quasilineare Anfangswertaufgaben}. ({German}) [{Convergence} of Difference Methods for Quasilinear Initial Value Problems]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "217--225", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 12:49:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bohl:1969:UFN, author = "Erich Bohl", title = "{{\"U}ber Fehlerabsch{\"a}tzungen bei nichtlinearen Operatorgleichungen}. ({German}) [{On} Error Bounds for Nonlinear Operator Equations]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "226--237", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 15:28:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Johnson:1969:UAV, author = "Lee W. Johnson", title = "Uniform approximation of vector-valued functions", journal = j-NUM-MATH, volume = "13", number = "3", pages = "238--244", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 16:10:24 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Elsner:1969:BAM, author = "L. Elsner", title = "{Bemerkung zu einer Arbeit von Marshall und Olkin}. ({German}) [{Remark} on a paper of {Marshall} and {Olkin}]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "245--246", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Feb 22 18:42:15 2001", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Pattabhiraman:1969:SPP, author = "M. V. Pattabhiraman and P. Lancaster", title = "Spectral properties of a polynomial operator", journal = j-NUM-MATH, volume = "13", number = "3", pages = "247--259", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:10:40 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nitsche:1969:VRS, author = "Joachim A. Nitsche", title = "{Verfahren von Ritz und Spline-Interpolation bei Sturm--Liouville-Randwertproblemen}. ({German}) [{Ritz methods and spline interpolation of Sturm--Liouville boundary value problems}]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "260--265", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Bulirsch:1969:EBT, author = "R. Bulirsch", title = "An extension of the {Bartky}-transformation to incomplete elliptic integrals of the third kind", journal = j-NUM-MATH, volume = "13", number = "3", pages = "266--284", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hadeler:1969:EAM, author = "K. P. Hadeler", title = "{Einige Anwendungen mehrparametriger Eigenwertaufgaben}. ({German}) [{Some} Uses of Extra Parametrized Eigenvalue Problems]", journal = j-NUM-MATH, volume = "13", number = "3", pages = "285--292", month = jul, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Parlett:1969:BMC, author = "B. N. Parlett and C. Reinsch", title = "Balancing a matrix for calculation of eigenvalues and eigenvectors", journal = j-NUM-MATH, volume = "13", number = "4", pages = "293--304", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 315--326]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; nla; scaling; software", } @Article{Bulirsch:1969:NCE, author = "R. Bulirsch", title = "Numerical calculation of elliptic integrals and elliptic functions. {III}", journal = j-NUM-MATH, volume = "13", number = "4", pages = "305--315", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rainey:1969:CST, author = "John W. Rainey", title = "On comparatively stable tridiagonalization methods", journal = j-NUM-MATH, volume = "13", number = "4", pages = "316--322", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Razelos:1969:AAS, author = "P. Razelos", title = "On the accuracy of the analog solution of heat conduction problems involving {Newtonian} cooling", journal = j-NUM-MATH, volume = "13", number = "4", pages = "323--333", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nitsche:1969:ISF, author = "J. Nitsche", title = "{Interpolation in Sobolevschen Funktionenr{\"a}umen}. ({German}) [{Interpolation} in {Sobolev} function spaces]", journal = j-NUM-MATH, volume = "13", number = "4", pages = "334--343", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Dirschmid:1969:BAG, author = "H. J. Dirschmid", title = "{Bemerkungen zu einer Arbeit von G. Polya zur Bestimmung der Nullstellen ganzer Funktionen}. ({German}) [{Comment} on a work by {G. Polya} for Determining Zeros of Real Functions]", journal = j-NUM-MATH, volume = "13", number = "4", pages = "344--348", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Soukup:1969:MFR, author = "Ji{\v{r}}{\'\i} Soukup", title = "A method for finding the roots of a polynomial", journal = j-NUM-MATH, volume = "13", number = "4", pages = "349--353", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Strassen:1969:GEO, author = "Volker Strassen", title = "{Gaussian} Elimination is Not Optimal", journal = j-NUM-MATH, volume = "13", number = "4", pages = "354--356", month = aug, year = "1969", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02165411", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "The author shows that matrix multiplication can be done with fewer than $4.7 \times n^{\log_2 7} \approx 4.7 \times n^{2.807}$ arithmetic operations, and that Gaussian elimination and matrix inversion can be done with $O(n^{\log_2 7}$ arithmetic operations.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Davis:1969:NIL, author = "Joel Davis and Jerome J. Jacoby", title = "Numerical integration of linear integral equations with mild discontinuity", journal = j-NUM-MATH, volume = "13", number = "4", pages = "357--361", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stewart:1969:AOI, author = "G. W. Stewart", title = "Accelerating the orthogonal iteration for the eigenvectors of a {Hermitian} matrix", journal = j-NUM-MATH, volume = "13", number = "4", pages = "362--376", month = aug, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Taylor:1969:GSR, author = "P. J. Taylor", title = "A generalisation of systematic relaxation methods for consistently ordered matrices", journal = j-NUM-MATH, volume = "13", number = "5", pages = "377--395", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hadjidimos:1969:SHA, author = "Apostolos Hadjidimos", title = "On some high accuracy difference schemes for solving elliptic equations", journal = j-NUM-MATH, volume = "13", number = "5", pages = "396--403", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bareiss:1969:NSL, author = "Erwin H. Bareiss", title = "Numerical Solution of Linear Equations with {Toeplitz} and Vector {Toeplitz} Matrices", journal = j-NUM-MATH, volume = "13", number = "5", pages = "404--424", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/chirplet.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nichols:1969:GCO, author = "Nancy K. Nichols and L. Fox", title = "Generalised consistent ordering and the optimum successive overrelaxation factor", journal = j-NUM-MATH, volume = "13", number = "5", pages = "425--433", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Natterer:1969:NBS, author = "Frank Natterer", title = "{Numerische Behandlung singul{\"a}rer Sturm--Liouville-Probleme}. ({German}) [{Numerical treatment of singular Sturm--Liouville problems}]", journal = j-NUM-MATH, volume = "13", number = "5", pages = "434--447", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Symm:1969:CMD, author = "George T. Symm", title = "Conformal mapping of doubly-connected domains", journal = j-NUM-MATH, volume = "13", number = "5", pages = "448--457", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stewart:1969:SIF, author = "G. W. Stewart", title = "Some iterations for factoring a polynomial", journal = j-NUM-MATH, volume = "13", number = "5", pages = "458--470", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:40:53 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Householder:1969:CSI, author = "A. S. Householder and G. W. Stewart", title = "Comments on {``Some iterations for factoring a polynomial''}", journal = j-NUM-MATH, volume = "13", number = "5", pages = "470--471", month = oct, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:40:53 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } %%% Issue numbers, but still no months, first appeared with volume 14 %%% (1969). @Article{Lyness:1969:GRM, author = "J. N. Lyness and C. B. Moler", title = "Generalized {Romberg} methods for integrals of derivatives", journal = j-NUM-MATH, volume = "14", number = "1", pages = "1--13", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{vanderSluis:1969:CNE, author = "A. van der Sluis", title = "Condition Numbers and Equilibration of Matrices", journal = j-NUM-MATH, volume = "14", number = "1", pages = "14--23", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "condition; lsq; nla; pert; scaling", } @Article{Hoffman:1969:TNT, author = "Karl-Heinz Hoffman", title = "{Zur Theorie der nichtlinearen Tschebyscheff-Approximation mit Nebenbedingungen}. ({German}) [{Toward} a Theory of Nonlinear {Chebyshev} Approximation with Constraints]", journal = j-NUM-MATH, volume = "14", number = "1", pages = "24--41", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Zlamal:1969:SFE, author = "Milo{\v{s}} Zl{\'a}mal", title = "On some finite element procedures for solving second order boundary value problems", journal = j-NUM-MATH, volume = "14", number = "1", pages = "42--48", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Marek:1969:NBS, author = "Ivo Marek and Richard S. Varga", title = "Nested bounds for the spectral radius", journal = j-NUM-MATH, volume = "14", number = "1", pages = "49--70", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Taylor:1969:AFH, author = "G. D. Taylor", title = "Approximation by functions having restricted ranges: {Equality} case", journal = j-NUM-MATH, volume = "14", number = "1", pages = "71--78", month = dec, year = "1969", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{vanWijngaarden:1969:RALa, author = "A. van Wijngaarden and B. J. Mailloux and J. E. L. Peck and C. H. A. Koster", title = "Report on the Algorithmic Language {ALGOL 68}", journal = j-NUM-MATH, volume = "14", number = "2", pages = "79--218", month = dec, year = "1969", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02163002", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri Oct 31 15:47:50 2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.fh-jena.de/~kleine/history/languages/Algol68-Report.pdf; http://www.fh-jena.de/~kleine/history/languages/Algol68-RevisedReport.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", tableofcontents = "Introduction / 84--87 \\ Language and Metalanguage / 88--98 \\ The Computer and the Program / 98--105 \\ Basic Tokens and General Constructions / 105--113 \\ Identification and the Context Conditions / 113--120 \\ Denotations / 120--133 \\ Phrases / 133--140 \\ Unitary Declarations / 140--148 \\ Unitary Clauses / 148--170 \\ Extensions / 170--174 \\ Standard Prelude and Postlude / 174--204 \\ Examples / 204--212 \\ Glossary / 212--218 \\ Back Matter / 219--221", } @Article{Martin:1970:ARH, author = "R. S. Martin and G. Peters and J. H. Wilkinson", title = "The {$QR$} Algorithm for real {Hessenberg} matrices", journal = j-NUM-MATH, volume = "14", number = "3", pages = "219--231", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 28 17:21:29 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 359--371]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; Hessenberg matrix; nla; QR algorithm; software", } @Article{Eberlein:1970:SCE, author = "P. J. Eberlein", title = "Solution to the complex eigenproblem by a norm reducing {Jacobi} type method", journal = j-NUM-MATH, volume = "14", number = "3", pages = "232--245", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 28 17:21:59 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", note = "Also in \cite[pp. 404--417]{Wilkinson:1971:LA}.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{vanderSluis:1970:SSL, author = "A. van der Sluis", title = "Stability of Solutions of Linear Algebraic Systems", journal = j-NUM-MATH, volume = "14", number = "3", pages = "246--251", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 28 17:22:11 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Jenkins:1970:TSV, author = "M. A. Jenkins and J. F. Traub", title = "A three-stage variable-shift iteration for polynomial zeros and its relation to generalized {Rayleigh} iteration", journal = j-NUM-MATH, volume = "14", number = "3", pages = "252--263", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bosarge:1970:IDM, author = "W. E. {Bosarge, Jr.} and Peter L. Falb", title = "Infinite dimensional multipoint methods and the solution of two point boundary value problems", journal = j-NUM-MATH, volume = "14", number = "3", pages = "264--286", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:13:52 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Borsch-Supan:1970:RPN, author = "Wolfgang B{\"o}rsch-Supan", title = "{Residuenabsch{\"a}tzung f{\"u}r Polynom-Nullstellen mittels Lagrange-Interpolation}. ({German}) [{Residue} Bounds for Polynomial Zeros through {Lagrange} Interpolation]", journal = j-NUM-MATH, volume = "14", number = "3", pages = "287--296", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:23:14 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Davis:1970:TY, author = "Chandler Davis", title = "On a theorem of {Yamamoto}", journal = j-NUM-MATH, volume = "14", number = "3", pages = "297--298", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:25:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schonhage:1970:MRI, author = "Arnold Sch{\"o}nhage", title = "{Mehrdimensionale Romberg-Integration}. ({German}) [{Multidimensional Romberg} Integration]", journal = j-NUM-MATH, volume = "14", number = "3", pages = "299--304", month = feb, year = "1970", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02163338", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:29:30 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Anders [1] showed, that the remainder term of $n$-dimensional Romberg integration $T_{m,k}$ is of order $O(4^{ km})$ for $k \to \inftyQ4. Here, by induction over $n$ and the results [2] for $n = 1$$, an explicit formula is derived, giving the precise constants. It follows, that for $f$ continuous and $m + k \to \infty$, the $T_{m,k}$ are converging to the value of the integral.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Barrar:1970:CMN, author = "Richard B. Barrar and Henry L. Loeb", title = "On the convergence in measure of non-linear {Chebyshev} approximations", journal = j-NUM-MATH, volume = "14", number = "3", pages = "305--312", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:29:53 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lode:1970:NNE, author = "W. Lode", title = "{Zum neuen Norm Entwurf DIN 1333 ``Abbrechen und Runden von Dezimalzahlen''}. ({German}) [{Toward} a New Standard Design {DIN 1333} ``Calculation and Rounding in Decimal Numbers'']", journal = j-NUM-MATH, volume = "14", number = "3", pages = "313--316", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:30:54 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Christiansen:1970:NSO, author = "Jan Christiansen", title = "Numerical solution of ordinary simultaneous differential equations of the $1$st order using a method for automatic step change", journal = j-NUM-MATH, volume = "14", number = "4", pages = "317--324", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:34:00 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Christiansen:1970:ENS}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Pietrzykowski:1970:PMC, author = "Tomasz Pietrzykowski", title = "The potential method for conditional maxima in the locally compact metric spaces", journal = j-NUM-MATH, volume = "14", number = "4", pages = "325--329", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Guenther:1970:NCF, author = "R. B. Guenther and E. L. Roetman", title = "{Newton--Cotes} formulae in $n$-dimensions", journal = j-NUM-MATH, volume = "14", number = "4", pages = "330--345", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Natterer:1970:SEG, author = "Frank Natterer", title = "{Schranken f{\"u}r die Eigenwerte gew{\"o}hnlicher Differentialgleichungen durch Spline-Approximation}. ({German}) [{Bounds} for the Eigenvalue of Ordinary Differential Equations by Spline Approximation]", journal = j-NUM-MATH, volume = "14", number = "4", pages = "346--354", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Jamet:1970:CFD, author = "Pierre Jamet", title = "On the convergence of finite-difference approximations to one-dimensional singular boundary-value problems", journal = j-NUM-MATH, volume = "14", number = "4", pages = "355--378", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Fair:1970:PAO, author = "Wyman Fair and Yudell L. Luke", title = "{Pad{\'e}} approximations to the operator exponential", journal = j-NUM-MATH, volume = "14", number = "4", pages = "379--382", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:13:52 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hoffmann:1970:NTA, author = "Karl-Heinz Hoffmann", title = "{Nichtlineare Tschebyscheff-Approximation mit Nebenbedingungen: Anwendungen}. ({German}) [{Nonlinear Chebyshev} Approximation with Constraints: Use]", journal = j-NUM-MATH, volume = "14", number = "4", pages = "383--393", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:23:14 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Zlamal:1970:FEP, author = "Milo{\v{s}} Zl{\'a}mal", title = "A finite element procedure of the second order of accuracy", journal = j-NUM-MATH, volume = "14", number = "4", pages = "394--402", month = mar, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:35:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Golub:1970:SVD, author = "G. H. Golub and C. Reinsch", title = "Singular Value Decomposition and Least Squares Solutions", journal = j-NUM-MATH, volume = "14", number = "5", pages = "403--420", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 28 17:25:01 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/gvl.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 134--151]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022); Gene Howard Golub (February 29, 1932--November 16, 2007)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "lsq; nla; rank determination; regularization; software; svd", } @Article{Bettis:1970:NIP, author = "D. G. Bettis", title = "Numerical integration of products of {Fourier} and ordinary polynomials", journal = j-NUM-MATH, volume = "14", number = "5", pages = "421--434", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=421", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Campbell:1970:SAD, author = "N. G. Campbell", title = "Stability analysis of a difference scheme for the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "14", number = "5", pages = "435--447", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=435", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gorenflo:1970:NSD, author = "Rudolf Gorenflo", title = "{Nichtnegativit{\"a}ts-und substanzerhaltende Differenzenschemata f{\"u}r lineare Diffusionsgleichungen}. ({German}) [{Nonnegativity} and substance-receiving difference patterns for linear diffusion equations]", journal = j-NUM-MATH, volume = "14", number = "5", pages = "448--467", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=448", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Braess:1970:MKI, author = "Dietrich Braess", title = "{Eine M{\"o}glichkeit zur Konvergenzbeschleunigung bei Iterationsverfahren f{\"u}r bestimmte nichtlineare Probleme}. ({German}) [{A} possibility for convergence acceleration of iterative methods for certain nonlinear problems]", journal = j-NUM-MATH, volume = "14", number = "5", pages = "468--475", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=468", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Petry:1970:EEF, author = "W. Petry", title = "{Existenz und Eindeutigkeit f{\"u}r L{\"o}sungen nichtlinearer Randwertprobleme}. ({German}) [{Existence} and uniqueness for solutions of nonlinear boundary value problems]", journal = j-NUM-MATH, volume = "14", number = "5", pages = "476--494", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=476", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Svecoa:1970:BSC, author = "H. {\v{S}}veco{\'a}", title = "On the {Bauer}'s scaled condition number of matrices arising from approximate conformal mapping", journal = j-NUM-MATH, volume = "14", number = "5", pages = "495--507", month = apr, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 08:56:00 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=14&issue=5; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=14&issue=5&spage=495", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Christiansen:1970:ENS, author = "Jan Christiansen", title = "Erratum: {{\em Numerical solution of ordinary simultaneous differential equations of the $1$st order using a method for automatic step change}}", journal = j-NUM-MATH, volume = "15", number = "1", pages = "v--v", month = may, year = "1970", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02165656", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Christiansen:1970:NSO}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Shah:1970:TDP, author = "Jayant M. Shah", title = "Two-dimensional polynomial splines", journal = j-NUM-MATH, volume = "15", number = "1", pages = "1--14", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Grigorieff:1970:KRE, author = "Rolf Dieter Grigorieff", title = "{Die Konvergenz des Rand- und Eigenwertproblems linearer gew{\"o}hnlicher Differenzengleichungen}. ({German}) [{The convergence of boundary- and eigenvalue problems of linear difference equations}]", journal = j-NUM-MATH, volume = "15", number = "1", pages = "15--48", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Rund:1970:RCB, author = "Hanno Rund", title = "The reduction of certain boundary problems to variational problems by means of transversality conditions", journal = j-NUM-MATH, volume = "15", number = "1", pages = "49--56", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ruhe:1970:PMV, author = "Axel Ruhe", title = "Properties of a matrix with a very ill-conditioned eigenproblem", journal = j-NUM-MATH, volume = "15", number = "1", pages = "57--60", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stoss:1970:MED, author = "Hanns-J{\"o}rg Sto{\ss}", title = "{Monotonie-Eigenschaften bei Differentialungleichungen {\"u}ber nichtkompaktem Grundbereich}. ({German}) [{Monotone} Eigenvalues of Differential Equations over Noncompact Fields]", journal = j-NUM-MATH, volume = "15", number = "1", pages = "61--73", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{vanderSluis:1970:CEP, author = "A. van der Sluis", title = "Condition, Equilibration and Pivoting in Linear Algebraic Systems", journal = j-NUM-MATH, volume = "15", number = "1", pages = "74--86", month = may, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 28 17:25:09 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "condition; linear system; nla; pert; pivoting", } @Article{Ciarlet:1970:NMH, author = "P. G. Ciarlet and F. Natterer and R. S. Varga", title = "Numerical methods of high-order accuracy for singular nonlinear boundary value problems", journal = j-NUM-MATH, volume = "15", number = "2", pages = "87--99", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:39:36 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schroder:1970:PIP, author = "Johann Schr{\"o}der", title = "Proving inverse-positivity of linear operators by reduction", journal = j-NUM-MATH, volume = "15", number = "2", pages = "100--108", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:40:25 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schafke:1970:AEI, author = "F. W. Sch{\"a}fke", title = "{Zum Anwendungsbereich einiger Iterationsverfahren}. ({German}) [{On} the Application of an Iteration Scheme]", journal = j-NUM-MATH, volume = "15", number = "2", pages = "109--121", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:40:55 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Wetterling:1970:DRE, author = "W. Wetterling", title = "{Definitheitsbedingungen f{\"u}r relative Extrema bei Optimierungs- und Approximationsaufgaben}. ({German}) [{Definiteness} Conditions for Relative Extrema in Optimization and Approximation Problems]", journal = j-NUM-MATH, volume = "15", number = "2", pages = "122--136", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:41:17 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Laurent:1970:GAC, author = "P. J. Laurent and Pham-Dinh-Tuan", title = "Global approximation of a compact set by elements of a convex set in a normed space", journal = j-NUM-MATH, volume = "15", number = "2", pages = "137--150", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:42:32 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Urabe:1970:IOS, author = "Minoru Urabe", title = "An implicit one-step method of high-order accuracy for the numerical integration of ordinary differential equations", journal = j-NUM-MATH, volume = "15", number = "2", pages = "151--164", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:43:31 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ehlich:1970:KMI, author = "H. Ehlich and W. Haussmann", title = "{Konvergenz mehrdimensionaler Interpolation}. ({German}) [{Convergence} of Multidimensional Interpolation]", journal = j-NUM-MATH, volume = "15", number = "2", pages = "165--174", month = jun, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:45:45 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Doring:1970:TVB, author = "Boro D{\"o}ring", title = "{Das Tschebyscheff-Verfahren in Banach-R{\"a}umen}. ({German}) [{Chebyshev's method in Banach spaces}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "175--195", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 21:45:35 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Inst. Technic. Hochschule Darmstadt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; nonlinear equations", language = "German", } @Article{Grigorieff:1970:KGD, author = "Rolf Dieter Grigorieff", title = "{{\"U}ber die Koerzitivit{\"a}t gew{\"o}nlicher Differenzenoperatoren und die Konvergenz von Mehrschrittverfahren}. ({German}) [{On the coerciveness of ordinary difference operators and the convergence of multistep methods}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "196--218", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 21:45:38 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. Frankfurt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; difference equations", language = "German", } @Article{Schaefer:1970:ANE, author = "Helmut H. Schaefer", title = "{Eine Absch{\"a}tzung der nichttrivialen Eigenwerte stochastischer Matrizen}. ({German}) [{An} Approximation of Nontrivial Eigenvalues of Stochastic Matrices]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "219--223", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Nitsche:1970:KNB, author = "J. Nitsche", title = "{Zur Konvergenz von N{\"a}herungsverfahren bez{\"u}glich verschiedener Normen}. ({German}) [{On the convergence of approximation processes with respect to various norms}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "224--228", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 21:49:47 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; function approximation; linear algebra", language = "German", } @Article{Martensen:1970:RGQ, author = "Erich Martensen", title = "{Zur Restglieddartstellung der Gregoryschen Quadraturformel ungerader Ordnung}. ({German}) [{On the representation of the remainder of the {Gregory} quadrature formula of an odd series}]", journal = j-NUM-MATH, volume = "15", number = "3", pages = "229--233", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 22:03:36 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integration; numerical analysis", language = "German", } @Article{Miklosko:1970:APC, author = "Jozef Miklo{\v{s}}ko", title = "Asymptotic properties and the convergence of numerical quadratures", journal = j-NUM-MATH, volume = "15", number = "3", pages = "234--249", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Slovak Acad. Sci., SSSR, USSR", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; integration; interpolation", } @Article{vanderSluis:1970:URP, author = "A. van der Sluis", title = "Upperbounds for roots of polynomials", journal = j-NUM-MATH, volume = "15", number = "3", pages = "250--262", month = jul, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "nonlinear equations; numerical methods; poles and zeros; polynomials", } @Article{Schmidt:1970:LMN, author = "Jochen W. Schmidt and Klaus Vetters", title = "{Ableitsungfreie Verfahren f{\"u}r nichtlineare Optimierungsprobleme}. ({German}) [{Lossless method for nonlinear optimization problem}]", journal = j-NUM-MATH, volume = "15", number = "4", pages = "263--282", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 22:05:21 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Univ. Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "interpolation; nonlinear programming; optimisation", language = "German", } @Article{Zenisek:1970:IPT, author = "Alexander {\v{Z}}en{\'\i}{\v{s}}ek", title = "Interpolation polynomials on the triangle", journal = j-NUM-MATH, volume = "15", number = "4", pages = "283--296", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ., Brno, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "interpolation; polynomials", } @Article{Stallmann:1970:NSI, author = "Friedmann W. Stallmann", title = "Numerical solution of integral equations", journal = j-NUM-MATH, volume = "15", number = "4", pages = "297--305", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Univ. Tennessee, TN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integral equations; numerical methods", } @Article{Stewart:1970:SIF, author = "G. W. Stewart", title = "On {Samelson}'s iteration for factoring polynomials", journal = j-NUM-MATH, volume = "15", number = "4", pages = "306--314", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Univ. Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iterative methods; polynomials", } @Article{Baker:1970:EPI, author = "Christopher T. H. Baker", title = "The error in polynomial interpolation", journal = j-NUM-MATH, volume = "15", number = "4", pages = "315--319", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Univ. Manchester, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; interpolation; polynomials", } @Article{Rakotch:1970:EEN, author = "E. Rakotch and J. Steinberg", title = "Error estimate for the numerical solution of {Fredholm}'s integral equation", journal = j-NUM-MATH, volume = "15", number = "4", pages = "320--328", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Dept. Computer Sci., Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; integral equations; numerical methods", } @Article{vonFinckenstein:1970:PWM, author = "Karl Graf Finck von Finckenstein", title = "{Potenzbeschr{\"a}nktheit und Wertebereich einer Matrix}. ({German}) [{Potency} Limitation and Ranges of a Matrix]", journal = j-NUM-MATH, volume = "15", number = "4", pages = "329--332", month = aug, year = "1970", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02165124", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Lyness:1970:RTD, author = "J. N. Lyness and B. J. J. McHugh", title = "On the remainder term in the {$N$}-dimensional {Euler Maclaurin} expansion", journal = j-NUM-MATH, volume = "15", number = "4", pages = "333--344", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Argonne Nat. Lab., IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integration", } @Article{deOliveira:1970:NIC, author = "G. N. de Oliveira", title = "Note on an inverse characteristic value problem", journal = j-NUM-MATH, volume = "15", number = "4", pages = "345--347", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Marsal:1970:ELI, author = "D. Marsal", title = "{Eingabelung der L{\"o}sungen von Integralgleichungen}. ({German}) [{Bifurcation} of solutions of integral equations]", journal = j-NUM-MATH, volume = "15", number = "4", pages = "348--350", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Mangasarian:1970:CSM, author = "O. L. Mangasarian", title = "A convergent splitting of matrices", journal = j-NUM-MATH, volume = "15", number = "4", pages = "351--353", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Wisconsin, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; matrix algebra", } @Article{Luther:1970:OCF, author = "H. A. Luther and H. G. Sierra", title = "On the optimal choice of fourth-order {Runge--Kutta} formulas", journal = j-NUM-MATH, volume = "15", number = "4", pages = "354--358", month = aug, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Texas A and M Univ., TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; numerical methods; optimisation; stability", } @Article{Lucas:1970:GS, author = "Thomas R. Lucas", title = "A generalization of {$L$}-splines", journal = j-NUM-MATH, volume = "15", number = "5", pages = "359--370", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differentiation; splines (mathematics)", } @Article{Descloux:1970:NIH, author = "J. Descloux", title = "On the numerical integration of the heat equation", journal = j-NUM-MATH, volume = "15", number = "5", pages = "371--381", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0270 (Computational techniques); A4400 (Heat flow, thermal and thermodynamic processes); A4725Q (Convection and heat transfer); C4170 (Differential equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "calculation; differential equations; heat conduction; physics", } @Article{Barrar:1970:RAN, author = "Richard B. Barrar and Henry L. Loeb", title = "On the {Remez} algorithm for non-linear families", journal = j-NUM-MATH, volume = "15", number = "5", pages = "382--391", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods", } @Article{Lamprecht:1970:AFR, author = "G{\'u}nther Lamprecht", title = "{{\"U}ber die Abh{\"a}ngigkeit der Fehlerfunktion bei der rationale $L_p$-Approximation von den Koeffizienten des Nennerpolynoms bei minimalem Z{\"a}hlerpolynom}. ({German}) [{On the relation between the error function with rational {$L_p$} approximation and the coefficients of the denominator polynomial with minimum numerator polynomial}]", journal = j-NUM-MATH, volume = "15", number = "5", pages = "392--403", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 22:23:28 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation", language = "German", } @Article{Hertling:1970:APC, author = "J{\"o}rg Hertling", title = "Approximation of piecewise continuous functions by a modification of piecewise {Hermite} interpolation", journal = j-NUM-MATH, volume = "15", number = "5", pages = "404--414", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation; interpolation", } @Article{Zettl:1970:VMF, author = "G. Zettl", title = "{Ein Verfahren zum Minimieren einer Funktion bei eingeschr{\"a}nktem Variationsbereich der Parameter}. ({German}) [{A method for the minimization of a function by a limited variation of parameters}]", journal = j-NUM-MATH, volume = "15", number = "5", pages = "415--432", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 22:25:03 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "variational techniques", language = "German", } @Article{Jerome:1970:LSM, author = "Joseph W. Jerome", title = "Linear self-adjoint multipoint boundary value problems and related approximation schemes", journal = j-NUM-MATH, volume = "15", number = "5", pages = "433--449", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Northwestern Univ., Evanston, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; differentiation; eigenvalues and eigenfunctions", } @Article{Dubrulle:1970:SNI, author = "A. Dubrulle", title = "A short note on the implicit {$QL$} algorithm for symmetric tridiagonal matrices", journal = j-NUM-MATH, volume = "15", number = "5", pages = "450--450", month = sep, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "IBM Corp., Houston, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; iterative methods; matrix algebra", } @Article{Howland:1970:CMS, author = "James Lucien Howland and John Albert Senez", title = "A constructive method for the solution of the stability problem", journal = j-NUM-MATH, volume = "16", number = "1", pages = "1--7", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1320 (Stability in control theory); C4140 (Linear algebra)", corpsource = "Univ. Ottawa, Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Lyapunov methods; matrix algebra; numerical methods", } @Article{Marsaglia:1970:RCR, author = "George Marsaglia", title = "Regularities in congruential random number generators", journal = j-NUM-MATH, volume = "16", number = "1", pages = "8--10", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C7890 (Other special applications of computing)", corpsource = "Boeing Sci. Res. Labs., Seattle, WA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "random number generation", } @Article{Cenacchi:1970:PNC, author = "G. Cenacchi and A. de Matteis", title = "Pseudo-random numbers for comparative {Monte Carlo} calculations", journal = j-NUM-MATH, volume = "16", number = "1", pages = "11--15", month = feb, year = "1970", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02162402", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "To compare the results of two slightly different situations in a given problem solved by the Monte Carlo method it is convenient to use the same random numbers in both cases. To facilitate the reproducibility of the random numbers used a method based on two pseudo-random number generators may be adopted. In this paper the method is discussed with reference to multiplicative congruential generators, the influence of the initial value on a random sequence obtained by a given multiplier being examined first.", acknowledgement = ack-nhfb, classification = "C1140G (Monte Carlo methods); C7890 (Other special applications of computing)", corpsource = "CNEN, Bologna, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Monte Carlo methods; random number generation", } @Article{Rowland:1970:SBD, author = "John H. Rowland and James A. O'Donnell", title = "Some bounds for the deviation and interpolation points in {Chebyshev} approximation", journal = j-NUM-MATH, volume = "16", number = "1", pages = "16--21", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Wyoming, Laramie, WY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation; interpolation", } @Article{Johnston:1970:CBI, author = "R. L. Johnston and B. T. Smith", title = "Calculation of best isolated {Gerschgorin} discs", journal = j-NUM-MATH, volume = "16", number = "1", pages = "22--31", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bittner:1970:SRT, author = "L. Bittner", title = "Some representation theorems for functions and sets and their application to nonlinear programming", journal = j-NUM-MATH, volume = "16", number = "1", pages = "32--51", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Ernst-Moritz-Arndt-Univ., Greifswald, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "nonlinear programming", } @Article{Daniel:1970:SGC, author = "James W. Daniel", title = "A simple, global, complementary variational principle", journal = j-NUM-MATH, volume = "16", number = "1", pages = "52--57", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cranley:1970:RMM, author = "R. Cranley and T. N. L. Patterson", title = "A regression method for the {Monte Carlo} evaluation of multidimensional integrals", journal = j-NUM-MATH, volume = "16", number = "1", pages = "58--72", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:37:06 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Deutsch:1970:MN, author = "Emeric Deutsch", title = "Matricial norms", journal = j-NUM-MATH, volume = "16", number = "1", pages = "73--84", month = feb, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:37:38 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Martin:1970:ABS, author = "R. S. Martin and C. Reinsch and J. H. Wilkinson", title = "The {$QR$} algorithm for band symmetric matrices", journal = j-NUM-MATH, volume = "16", number = "2", pages = "85--92", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See also \cite[pp.~266--272]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022); James H. Wilkinson (27 September 1919--5 October 1986)", classification = "C4140 (Linear algebra)", corpsource = "Nat. Phys. Lab., Teddington, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions and matrix algebra", } @Article{Jamet:1970:MRN, author = "P. Jamet and P. Lascaux and P.-A. Raviart", title = "Une m{\'e}thode de r{\'e}solution num{\'e}rique des {\'e}quations de {Navier--Stokes}. ({French}) [{A} method of numerical solution of the {Navier--Stokes} equations]", journal = j-NUM-MATH, volume = "16", number = "2", pages = "93--114", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; Courant Friedrichs criteria; explicit decentered differences; linearisation; Navier Stokes equations; nonlinear terms discretisation; numerical methods; numerical solution; optimal stability; partial differential equations; stability", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Ciarlet:1970:DVG, author = "P. G. Ciarlet and R. S. Varga", title = "Discrete variational {Green}'s function", journal = j-NUM-MATH, volume = "16", number = "2", pages = "115--128", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gaier:1970:SSA, author = "Dieter Gaier", title = "{Saturation bei Spline-Approximation und Quadratur}. ({German}) [{Saturation in spline approximation and quadrature}]", journal = j-NUM-MATH, volume = "16", number = "2", pages = "129--140", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 22:39:16 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximated function; divergence; function approximation; polynomials; quadrature; saturation; spline approximation; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Householder:1970:NGI, author = "Alston S. Householder and Richard S. Varga and James H. Wilkinson", title = "A note on {Gerschgorin}'s inclusion theorem for eigenvalues of matrices", journal = j-NUM-MATH, volume = "16", number = "2", pages = "141--144", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Tennessee, Knoxville, TN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; matrix algebra", } @Article{Brent:1970:EAA, author = "R. P. Brent", title = "Error Analysis of Algorithms for Matrix Multiplication and Triangular Decomposition Using {Winograd}'s Identity", journal = j-NUM-MATH, volume = "16", number = "2", pages = "145--156", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{high:89b}", classification = "C4140 (Linear algebra)", corpsource = "Stanford Univ., CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "digital arithmetic; error analysis; fast algorithm; matrix algebra; matrix multiplication; nla; rounding error", } @Article{Allgower:1970:CPD, author = "E. L. Allgower", title = "Criteria for positive definiteness of some band matrices", journal = j-NUM-MATH, volume = "16", number = "2", pages = "157--162", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Colorado State Univ., CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "matrix algebra", } @Article{Lebaud:1970:LDA, author = "Colette Lebaud", title = "{L}'Algorithm double {$QR$} avec $<<$shift$>>$. ({French}) [{The} double {$QR$} algorithm with `shift']", journal = j-NUM-MATH, volume = "16", number = "2", pages = "163--180", month = nov, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "matrix algebra", language = "French", } @Article{Peters:1970:ERC, author = "G. Peters and J. H. Wilkinson", title = "Eigenvectors of Real and Complex Matrices by {$LR$} and {$QR$} Triangularization", journal = j-NUM-MATH, volume = "16", number = "3", pages = "181--204", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", note = "Also in \cite[pp. 372--395]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex matrix; eig; eigenvalues and eigenfunctions; matrix algebra; nla; nonsymmetric matrix; software", } @Article{Rutishauser:1970:SIM, author = "H. Rutishauser", title = "Simultaneous iteration method for symmetric matrices", journal = j-NUM-MATH, volume = "16", number = "3", pages = "205--223", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Also in \cite[pp. 284--302]{Wilkinson:1971:LA}.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; iterative methods; matrix algebra", } @Article{Fritsch:1970:NNS, author = "F. N. Fritsch", title = "On the number of nodes in self-contained integration formulas of degree two for compact planar regions", journal = j-NUM-MATH, volume = "16", number = "3", pages = "224--230", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integration", } @Article{Chow:1970:NSL, author = "T. S. Chow and H. W. Milnes", title = "Numerical solution of {Laplace} equation for annular region", journal = j-NUM-MATH, volume = "16", number = "3", pages = "231--242", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "numerical analysis; partial differential equations", } @Article{Bacopoulos:1970:ASC, author = "Alex Bacopoulos", title = "On approximation by sums of {Chebyshev} norms", journal = j-NUM-MATH, volume = "16", number = "3", pages = "243--247", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation", } @Article{Meyer:1970:FIP, author = "G. H. Meyer", title = "On a free interface problem for linear ordinary differential equations and the one-phase {Stefan} problem", journal = j-NUM-MATH, volume = "16", number = "3", pages = "248--267", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; linear differential equations; numerical methods", } @Article{Curtis:1970:EOR, author = "A. R. Curtis", title = "An eighth order {Runge--Kutta} process with eleven function evaluations per step", journal = j-NUM-MATH, volume = "16", number = "3", pages = "268--277", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "linear differential equations; predictor-corrector methods", } @Article{Ferreira:1970:ZMH, author = "Erasmo M. Ferreira and Javier Sesma", title = "Zeros of the modified {Hankel} function", journal = j-NUM-MATH, volume = "16", number = "3", pages = "278--284", month = dec, year = "1970", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "poles and zeros", } @Article{Bittner:1971:AVH, author = "L. Bittner", title = "{Absch{\"a}tzungen bei Variationsmethoden mit Hilfe von Dualit{\"a}tss{\"a}tzen. II}. ({German}) [{Bounds} of the Variational Method with the Aid of the Duality Principle. {II}]", journal = j-NUM-MATH, volume = "16", number = "4", pages = "285--303", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Carasso:1971:LRN, author = "Alfred Carasso", title = "Long-range numerical solution of mildly non-linear parabolic equations", journal = j-NUM-MATH, volume = "16", number = "4", pages = "304--321", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Univ. New Mexico, Albuquerque, NM, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value procedure; boundary-value problems; convergence; convergence of numerical methods; difference equations; error estimation; errors; estimation theory; iterative methods; long range numerical solution; mildly nonlinear parabolic equations; nonlinear equations; steady state solution", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1971:EBF, author = "Ivo Babu{\v{s}}ka", title = "Error-bounds for finite element method", journal = j-NUM-MATH, volume = "16", number = "4", pages = "322--333", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Univ. Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Dirichlet problem; error bounds; error estimation; errors; finite element methods; Hilher space; Laplace equation; Lipschitz domain; norms; numerical methods; solution approximation", treatment = "T Theoretical or Mathematical", } @Article{Brown:1971:DTC, author = "Kenneth M. Brown and William B. Gearhart", title = "Deflation techniques for the calculation of further solutions of a nonlinear system", journal = j-NUM-MATH, volume = "16", number = "4", pages = "334--342", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "deflation technique; further solutions calculation; minimisation; minimization; multiple root problems; nonlinear equations; nonlinear system of equations; numerical methods; theory", treatment = "T Theoretical or Mathematical", } @Article{Good:1971:CMN, author = "I. J. Good and R. A. Gaskins", title = "The centroid method of numerical integration", journal = j-NUM-MATH, volume = "16", number = "4", pages = "343--359", month = jan, year = "1971", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02165005", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "The midpoint method of integration of a function of one variable is perhaps the simplest method of numerical integration, although it is often not mentioned in textbooks. It is here generalized to any number of dimensions and the generalization is called thecentroid method. This again is a very simple method and it can be conveniently used, for example, for the integration of a function of several variables over any non-pathological region. The numerical examples include the integration of multinormal integrands.", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "State Univ., Blacksburg, VA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "centroid method; integration; mid ordinate method; multinormal integrands; multivariable function integration; nonpathological region; numerical integration", treatment = "T Theoretical or Mathematical", } @Article{Businger:1971:MNS, author = "P. A. Businger", title = "Monitoring the numerical stability of {Gaussian} elimination", journal = j-NUM-MATH, volume = "16", number = "4", pages = "360--361", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Bell Telephone Labs., Murray Hill, NJ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complete pivoting; computational work; Gaussian elimination method; linear algebra; linear algebraic equations; numerical difficulties realisation test; numerical stability; partial pivoting; stability; stability monitoring", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1971:BCL, author = "J. H. Bramble and S. R. Hilbert", title = "Bounds for a class of linear functionals with applications to {Hermite} interpolation", journal = j-NUM-MATH, volume = "16", number = "4", pages = "362--369", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounds; estimation theorem; estimation theory; function approximation; Hermite interpolation; interpolation; linear functionals; N-dimensional interpolation; polynomials; pure partial derivatives; Sobolev spaces", treatment = "T Theoretical or Mathematical", } @Article{Chawla:1971:EEN, author = "M. M. Chawla", title = "Estimating errors of numerical approximation for analytic functions", journal = j-NUM-MATH, volume = "16", number = "4", pages = "370--374", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Householder:1971:GAS, author = "A. S. Householder", title = "Generalizations of an algorithm of {Sebasti{\~a}o e Silva}", journal = j-NUM-MATH, volume = "16", number = "4", pages = "375--382", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 10:37:01 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gotze:1971:RSG, author = "H. G{\"o}tze and F. L. Bauer", title = "{Robert Sauer, geb. 16.9.1898 -- gest. 22.8.1970}. ({German}) {Robert Sauer, born 16.9.1898 -- died 22.8.1970}", journal = j-NUM-MATH, volume = "16", number = "4", pages = "i--ii", month = jan, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Kambo:1971:EBL, author = "N. S. Kambo", title = "Error bounds for the {Lobatto} and {Radau} quadrature formulas", journal = j-NUM-MATH, volume = "16", number = "5", pages = "383--388", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Indian Inst. Technol., New Delhi, India", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic functions; error bounds; errors; integration; numerical integration; quadrature formula", treatment = "T Theoretical or Mathematical", } @Article{Kress:1971:ART, author = "Rainer Kre{\ss}", title = "{Ein ableitungsfreies Restglied f{\"u}r die trigonometrische Interpolation periodischer analytischer Funktionen}. ({German}) [{A derivative-free residue for the trigonometric interpolation of periodic analytic functions}]", journal = j-NUM-MATH, volume = "16", number = "5", pages = "389--396", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 20:33:47 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analogous condition; convergence; convergence of numerical methods; converges; derivative free residue; exponentially; interpolation; interpolation residue; mathematical techniques; periodic analytic functions; polynomial; polynomials; series of quadratic forms; trigonometric differentiation; trigonometric interpolation; upper bound", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Clendenin:1971:MNQ, author = "W. W. Clendenin", title = "A method for numerical quadrature over an infinite interval using systematically increasing mesh size", journal = j-NUM-MATH, volume = "16", number = "5", pages = "397--407", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4190 (Other numerical methods)", corpsource = "Univ. California, Los Alamos, NM, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computation of integrals; infinite interval; integration; numerical integration; numerical methods; numerical quadrature; quadrature formula; systematic increase of mesh size", treatment = "T Theoretical or Mathematical", } @Article{Young:1971:BOR, author = "David M. Young", title = "A bound for the optimum relaxation factor for the successive overrelaxation method", journal = j-NUM-MATH, volume = "16", number = "5", pages = "408--413", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N05", MRnumber = "45 6208", MRreviewer = "N. Gastinel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Univ. Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bound for optimum relaxation factor; boundary value problems; boundary-value problems; differential equations; finite difference methods; linear systems; numerical methods; numerical solution; self adjoint differential equations; successive overrelaxation method", treatment = "T Theoretical or Mathematical", } @Article{Bartels:1971:SSM, author = "Richard H. Bartels", title = "A stabilization of the simplex method", journal = j-NUM-MATH, volume = "16", number = "5", pages = "414--434", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods)", corpsource = "Univ. Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational stability; error analysis; linear programming; round off error analysis; simplex method; stability; stabilization", treatment = "T Theoretical or Mathematical", } @Article{Medley:1971:NPJ, author = "Helen I. Medley", title = "A note on a paper of {Johnston} and {Smith}'s concerning best isolated {Gerschgorin} disks", journal = j-NUM-MATH, volume = "16", number = "5", pages = "435--441", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bound for eigenvalue; convergence of numerical methods; eigenvalues and eigenfunctions; isolated eigenvalues; isolated Gerschgorin disk; iterative methods; matrix algebra; Newton's method", } @Article{Kiyono:1971:BCS, author = "Takeshi Kiyono and Masaaki Shimasaki", title = "Boundary contraction solution of the {Neumann} and mixed boundary value problems of the {Laplace} equation", journal = j-NUM-MATH, volume = "16", number = "5", pages = "442--450", month = feb, year = "1971", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02169153", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Kyoto Univ., Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary contraction method; boundary-value problems; differential equations; Laplace equation; mixed boundary value problems; numerical methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Reinsch:1971:SSF, author = "Christian H. Reinsch", title = "Smoothing by spline functions. {II}", journal = j-NUM-MATH, volume = "16", number = "5", pages = "451--454", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022)", classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; interpolation; smoothing by spline functions; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Leipnik:1971:RCR, author = "R. B. Leipnik", title = "Rapidly convergent recursive solution of quadratic operator equations", journal = j-NUM-MATH, volume = "17", number = "1", pages = "1--16", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Naval Weapons Center, China Lake, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergent recursive solution; matrix algebra; quadratic operator equations", treatment = "T Theoretical or Mathematical", } @Article{Oliver:1971:EEM, author = "J. Oliver", title = "The efficiency of extrapolation methods for numerical integration", journal = j-NUM-MATH, volume = "17", number = "1", pages = "17--32", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:53:09 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Essex, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytical study; automatic evaluation; definite integrals; extrapolation methods; integration; numerical integration; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1971:AFP, author = "G. Alefeld", title = "{Anwendungen Des Fixpunktsatzes F{\"u}r Pseudometrische R{\"a}ume In Der Intervallrechnung}. ({German}) [{Application of the fixed point theorem for pseudo-metric space to interval computation}]", journal = j-NUM-MATH, volume = "17", number = "1", pages = "33--39", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex systems of equations; convergence; convergence of numerical methods; fixed point theorem; integral coefficients; interval computation; iterative methods; iterative processes; matrix; matrix algebra; pseudometric space", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Rowland:1971:IIP, author = "John H. Rowland", title = "Inequalities for the interpolation points in {Chebyshev} approximation by polynomials", journal = j-NUM-MATH, volume = "17", number = "1", pages = "40--44", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:53:03 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Wyoming, Laramie, WY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; inequalities; interpolation points; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Thomee:1971:CNP, author = "Vidar Thom{\'e}e", title = "Convergence near plane boundaries of some elliptic difference schemes", journal = j-NUM-MATH, volume = "17", number = "1", pages = "45--53", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. G{\"o}teborg, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; differential equations; elliptic difference schemes; elliptic differential equations; second order type", treatment = "T Theoretical or Mathematical", } @Article{Roark:1971:ECI, author = "A. L. Roark", title = "On the eigenproblem for convolution integral equations", journal = j-NUM-MATH, volume = "17", number = "1", pages = "54--61", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Willson:1971:UGM, author = "A. N. {Willson, Jr.}", title = "A useful generalization of the {$P_0$} matrix concept", journal = j-NUM-MATH, volume = "17", number = "1", pages = "62--70", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gastinel:1971:ENA, author = "N. Gastinel", title = "Sur l'extension de normes sur des alg{\`e}bres de matrices. ({French}) [{On} the Extension of Norms on Matrix Algebras]", journal = j-NUM-MATH, volume = "17", number = "1", pages = "71--83", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Ciarlet:1971:MTF, author = "P. G. Ciarlet and C. Wagschal", title = "Multipoint {Taylor} formulas and applications to the finite element method", journal = j-NUM-MATH, volume = "17", number = "1", pages = "84--100", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:53:27 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Lab. Central des Ponts et Chauss{\'e}es, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "applications; differential equations; finite element method; multipoint Taylor formulas; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Dieter:1971:EDS, author = "U. Dieter and J. Ahrens", title = "An exact determination of serial correlations of pseudo-random numbers", journal = j-NUM-MATH, volume = "17", number = "2", pages = "101--123", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Distributed/QLD.bib; Distributed/QLD/1971.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C7890 (Other special applications of computing)", corpsource = "Univ. Karlsruhe, West Germany", country = "D", date = "00/00/00", descriptors = "RNG; correlation", enum = "777", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "linear congruential methods; random number generation; serial correlations", location = "PKI-OG: Li-Ord.Le", references = "0", revision = "21/04/91", treatment = "T Theoretical or Mathematical", } @Article{Miranker:1971:DSB, author = "W. L. Miranker", title = "Difference schemes with best possible truncation error", journal = j-NUM-MATH, volume = "17", number = "2", pages = "124--142", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "IBM, Yorktown Heights, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference scheme; hyperbolic system; initial value problem; numerical solution; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Kupka:1971:SRA, author = "I. Kupka", title = "{Simulation reeller Arithmetik und reeller Funktionen in endlichen Mengen}. ({German}) [{Simulation of real arithmetic and real functions in finite sets}]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "143--152", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 20:38:39 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1220 (Simulation, modelling and identification); C4110 (Error analysis in numerical methods)", corpsource = "Univ. Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error estimation; errors; estimation theory; finite set; floating point arithmetic; real functions; simulation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1971:EAF, author = "C. Brezinski", title = "{\'E}tudes sur les $\epsilon$- et $\rho$-algorithmes. ({French}) [{Studies} on $\epsilon$ and $\rho$-algorithms]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "153--162", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; epsilon algorithm; modification", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Brauer:1971:RPH, author = "Alfred Brauer", title = "A remark on the paper of {H. H. Schaefer, ``Absch{\"a}tzung der nichttrivialen Eigenwerte stochastischer Matrizen}''", journal = j-NUM-MATH, volume = "17", number = "2", pages = "163--165", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Knauer:1971:USE, author = "B. Knauer", title = "{Untere Schranken f{\"u}r die Eigenwerte positiv-definiter, selbstadjungierter Operatoren}. ({German}) [{Lower} Bounds for the Eigenvalues of Positive Definite Selfadjoint Operators]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "166--171", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Reimer:1971:UWP, author = "Manfred Reimer", title = "{Untersuchungen {\"u}ber das Wachstrum von Potenzreihenabschnitten mit Anwendungen f{\"u}r das Hornerschema}. ({German}) [{Investigations of the growth of segments of polynomials with applications to {Horner}'s scheme}]", journal = j-NUM-MATH, volume = "17", number = "2", pages = "172--178", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri May 30 07:31:39 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Dortmund, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "applications; Horner's scheme; interpolation; investigation; polynomials; segments growth", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Dekker:1971:ASA, author = "T. J. Dekker and J. F. Traub", title = "An analysis of the shifted {$LR$} algorithm", journal = j-NUM-MATH, volume = "17", number = "3", pages = "179--188", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Bell Telephone Labs., Murray Hill, NJ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analyze generalized shift strategies; eigenvalues; generalizations of classical iterations; identity matrix; iterative methods; lower triangular; matrix algebra; matrix functions transform; nonlinear equations; shifted LR algorithm; square matrix; upper triangular", treatment = "T Theoretical or Mathematical", } @Article{Paardekooper:1971:EAS, author = "M. H. C. Paardekooper", title = "An eigenvalue algorithm for skew-symmetric matrices", journal = j-NUM-MATH, volume = "17", number = "3", pages = "189--202", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Tilburg School Economics, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalue algorithm; eigenvalues and eigenfunctions; eigenvalues and eigenvectors; elementary orthogonal transformations; initial matrix; iterative methods; Jacobi like algorithm; matrix algebra; Murnaghan form; Murnaghan's canonical form; process constructs iteratively; skew symmetric matrices", treatment = "T Theoretical or Mathematical", } @Article{Tanabe:1971:PMS, author = "Kunio Tanabe", title = "Projection Method for Solving a Singular System of Linear Equations and its Applications", journal = j-NUM-MATH, volume = "17", number = "3", pages = "203--214", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. Statistical Math., Minatoku, Tokyo, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex matrix; determines the affine space; Gaussian elimination process; generalized inverse of a matrix; iterative improvement; iterative method; iterative methods; iterative procedure; Kaczmarz's method; linear equations; linear system; linear systems; matrix algebra; nla; projection method; singular system; solving system of linear equations; square and nonsingular", treatment = "T Theoretical or Mathematical", } @Article{Wuytack:1971:NTR, author = "L. Wuytack", title = "A new technique for rational extrapolation to the limit", journal = j-NUM-MATH, volume = "17", number = "3", pages = "215--221", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gastinel:1971:CPM, author = "N. Gastinel", title = "Sur le calcul des produits de matrices. ({French}) [{Calculation} of the product of matrices]", journal = j-NUM-MATH, volume = "17", number = "3", pages = "222--229", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Kuttler:1971:FAE, author = "James R. Kuttler", title = "A finite-difference approximation for the eigenvalues of the clamped plate", journal = j-NUM-MATH, volume = "17", number = "3", pages = "230--238", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "John Hopkins Univ., Silver Spring, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "biharmonic operator; bounded region; clamped plate; continuous eigenvalues and eigenvectors; convergence of numerical methods; convergence of the discrete eigenvalues and eigenvectors; difference operator of Bramble; discrete eigenvalues and eigenvectors; eigenproblem; eigenvalues; eigenvalues and eigenfunctions; finite difference analogue; finite difference approximation; perturbation technique", treatment = "T Theoretical or Mathematical", } @Article{Anderssen:1971:SAE, author = "R. S. Anderssen", title = "A stability analysis for the extended {Kantorovich} method applied to the torsion problem", journal = j-NUM-MATH, volume = "17", number = "3", pages = "239--246", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1320 (Stability in control theory); C4130 (Interpolation and function approximation)", corpsource = "Australian Nat. Univ., Canberra, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "extended Kantorovich method; investigate numerically; iterative methods; iterative procedure; numerical methods; single term approximate variational representation; stability; stability analysis; stability result; torsion problem; unconditionally stable", treatment = "T Theoretical or Mathematical", } @Article{Bergman:1971:CCS, author = "S. Bergman and J. G. Herriot", title = "Computation of a class of subsonic flow patterns", journal = j-NUM-MATH, volume = "17", number = "3", pages = "247--252", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Burgmeier:1971:IET, author = "J. W. Burgmeier and R. D. Russell and L. F. Shampine", title = "Integral equations with transform kernels and the eigenproblem {$K C x = \lambda x$}", journal = j-NUM-MATH, volume = "17", number = "4", pages = "253--267", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Univ. New Mexico, Albuquerque, NM, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational procedure; integral equations; matrix eigenproblem", treatment = "T Theoretical or Mathematical", } @Article{Bosarge:1971:ICS, author = "W. E. {Bosarge, Jr.}", title = "Iterative continuation and the solution of nonlinear two-point boundary value problems", journal = j-NUM-MATH, volume = "17", number = "4", pages = "268--283", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "IBM Sci. Centre, Houston, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; numerical methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Schryer:1971:NMC, author = "N. L. Schryer", title = "{Newton}'s method for convex nonlinear elliptic boundary value problems", journal = j-NUM-MATH, volume = "17", number = "4", pages = "284--300", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Bell Telephone Labs., Murray Hill, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problem; boundary-value problems; numerical methods; solution", treatment = "T Theoretical or Mathematical", } @Article{Hadjidimos:1971:NSM, author = "A. Hadjidimos", title = "The numerical solution of a model problem biharmonic equation by using extrapolated alternating direction implicit methods", journal = j-NUM-MATH, volume = "17", number = "4", pages = "301--317", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Chatelin-Laborde:1971:PMH, author = "Fran{\c{c}}oise Chatelin-Laborde", title = "Perturbation d'une matrice hermitienne ou normale. ({French}) [{Perturbation} theory for {Hermitian} (normal) matrix]", journal = j-NUM-MATH, volume = "17", number = "4", pages = "318--337", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. Math. Appliqu{\'e}es, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigen elements; eigenvalues and eigenfunctions; error bounds; Hermitian (normal) matrix; matrix algebra", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Robert:1971:AEO, author = "J. Robert", title = "Approximations des espace d'{Orlicz} et applications. ({French}) [{Approximations} of {Orlicz} spaces and their applications]", journal = j-NUM-MATH, volume = "17", number = "4", pages = "338--356", month = aug, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "applications; convergent approximations; exponential type; function approximation; Hammerstein type; integral equations; non linear integral equations; Orlicz spaces; partial differential equations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Braess:1971:CAS, author = "Dietrich Braess", title = "{Chebyshev} approximation by spline functions with free knots", journal = j-NUM-MATH, volume = "17", number = "5", pages = "357--366", month = oct, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; Descartes; Esch and Eastman; Fitzgerald; Johnson; Karlin; Meinardus and Schwedt; monosplines; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Hulme:1971:PPT, author = "Bernie L. Hulme", title = "Piecewise polynomial {Taylor} methods for initial value problems", journal = j-NUM-MATH, volume = "17", number = "5", pages = "367--381", month = oct, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Sandia Labs., Albuquerque, NM, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; continuous analytic continuation; differentiability; differential equations; error bounds; first order ordinary differential equations; initial value problems; Loscalzo; mean value theorem; numerical methods; piecewise polynomial Taylor methods; polynomials; stability analysis; Taylor expansion; Taylor expansion method", treatment = "T Theoretical or Mathematical", } @Article{Noda:1971:NCM, author = "Takashi Noda", title = "Note on the Computation of the Maximal Eigenvalue of a Non-Negative Irreducible Matrix", journal = j-NUM-MATH, volume = "17", number = "5", pages = "382--386", month = oct, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Hitachi Ltd., Kawasaki, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; eigenvalues and eigenfunctions; eigenvector; general matrices; iteration; iterative methods; Jordan form; matrix algebra; maximal eigenvalue; nonnegative irreducible matrix; subdominant; Wielandt's method", treatment = "T Theoretical or Mathematical", } @Article{Sreedharan:1971:LSA, author = "V. P. Sreedharan", title = "Least squares algorithms for finding solutions of overdetermined linear equations which minimize error in an abstract norm", journal = j-NUM-MATH, volume = "17", number = "5", pages = "387--401", month = oct, year = "1971", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436088", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Michigan State Univ., East Lansing, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "abstract norm; best fit solutions l/sup p/ norms; convergence; convergence of numerical methods; convex norm; least squares algorithms; least squares approximations; linear algebra; orthogonal projection; overdetermined linear equations", treatment = "T Theoretical or Mathematical", } @Article{Natterer:1971:SNG, author = "Frank Natterer", title = "{Schranken f{\"u}r die Norm der Greenschen Funktion gew{\"o}hnlicher Differentialoperatoren}. ({German}) [{Bounds} for the Norm of the {Green}'s Function of Ordinary Differential Operators ]", journal = j-NUM-MATH, volume = "17", number = "5", pages = "402--408", month = oct, year = "1971", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436089", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 10:42:59 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Joubert:1971:EDAa, author = "G. R. Joubert", title = "Explicit difference approximations of the one-dimensional diffusion equation, using a smoothing technique", journal = j-NUM-MATH, volume = "17", number = "5", pages = "409--430", month = oct, year = "1971", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436090", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 10:42:59 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kulisch:1971:AAR, author = "U. Kulisch", title = "An axiomatic approach to rounded computations", journal = j-NUM-MATH, volume = "18", number = "1", pages = "1--17", month = feb, year = "1971", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01398455", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "The present paper is intended to give an axiomatic approach to rounded computations. A rounding is defined as a monotone mapping of an ordered set into a subset, which in general is called a lower respectively an upper screen. The first chapter deals with roundings in ordered sets. In the second chapter further properties of roundings in linearly ordered sets are studied. The third chapter deals with the two most important applications, the approximation of the real arithmetic on a finite screen and the approximation of the real interval arithmetic on an upper screen. Beyond these examples various further applications are possible.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Joubert:1971:EDAb, author = "G. R. Joubert", title = "Explicit Difference Approximations of {Du Fort--Frankel} Type for the One-Dimensional Diffusion Equation", journal = j-NUM-MATH, volume = "18", number = "1", pages = "18--25", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stewart:1971:COA, author = "G. W. Stewart", title = "On a companion operator for analytic functions", journal = j-NUM-MATH, volume = "18", number = "1", pages = "26--43", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Galimberti:1971:SCV, author = "G. Galimberti and V. Pereyra", title = "Solving Confluent {Vandermonde} Systems of {Hermite} Type", journal = j-NUM-MATH, volume = "18", number = "1", pages = "44--60", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "linear system; nla; Vandermonde matrix", } @Article{Hoshino:1971:SPD, author = "S. Hoshino and K. Ichida", title = "Solution of partial differential equations by a modified random walk", journal = j-NUM-MATH, volume = "18", number = "1", pages = "61--72", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Kyoto Univ., Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; elliptic and parabolic partial differential equations; given boundary values; modified random walk; Monte Carlo methods; Monte Carlo technique; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Spijker:1971:SEE, author = "M. N. Spijker", title = "On the structure of error estimates for finite-difference methods", journal = j-NUM-MATH, volume = "18", number = "1", pages = "73--100", month = feb, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Univ. Leiden, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary values; differential equation; differential equations; error analysis; error estimates; finite difference methods; local round off error; numerical solution; semilinear", treatment = "T Theoretical or Mathematical", } @Article{Hertling:1971:NTS, author = "J{\"o}rg Hertling", title = "Numerical treatment of singular integral equations by interpolation methods", journal = j-NUM-MATH, volume = "18", number = "2", pages = "101--112", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Tech. Hochschule Wien, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integral equations; interpolation; interpolation methods; linear; numerical treatment; piecewise polynomial interpolation; singular integral equations; spline interpolation", treatment = "T Theoretical or Mathematical", } @Article{Schafer:1971:KAL, author = "Eugen Sch{\"a}fer", title = "{Ein Konstruktionsverfahren bei allgemeiner linearer Approximation}. ({German}) [{A construction method for general linear approximation}]", journal = j-NUM-MATH, volume = "18", number = "2", pages = "113--126", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "construction method; function approximation; geometrical interpretation; Haar subspace; linear approximation; modification", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Spellucci:1971:DPA, author = "P. Spellucci", title = "Double precision approximations to the elementary functions using {Jacobi}-fractions", journal = j-NUM-MATH, volume = "18", number = "2", pages = "127--143", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Oct 24 12:49:25 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C5230 (Digital arithmetic methods)", corpsource = "Univ. Ulm, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arctangent; Chebyshev approximation; Chebyshev best fit approximations; cosine; digital arithmetic; elementary functions; error propagation; exponential; guard digits; natural logarithm; rational functions; sine", treatment = "T Theoretical or Mathematical", } @Article{Salzer:1971:FBE, author = "Herbert E. Salzer", title = "Formulas for best extrapolation", journal = j-NUM-MATH, volume = "18", number = "2", pages = "144--153", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "confluent formulas; extrapolation; function approximation; interpolation; Lagrange Hermite; real function", treatment = "T Theoretical or Mathematical", } @Article{Lewin:1971:EPM, author = "Mordechai Lewin", title = "On exponents of primitive matrices", journal = j-NUM-MATH, volume = "18", number = "2", pages = "154--161", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Israel Inst. Technol., Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "characterisation; exponents; matrix algebra; primitive matrices; sharp bounds", treatment = "T Theoretical or Mathematical", } @Article{Cooper:1971:EBN, author = "G. J. Cooper", title = "Error bounds for numerical solutions of ordinary differential equations", journal = j-NUM-MATH, volume = "18", number = "2", pages = "162--170", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C7300 (Natural sciences computing)", corpsource = "Univ. Sussex, Brighton, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation defect; differential equations; eigenvalue; error analysis; error bounds; Jacobian matrix; Lipschitz constant; matrix algebra; numerical solutions; ordinary differential equations; Riccati equation; step length", treatment = "T Theoretical or Mathematical", } @Article{Carlson:1971:RAT, author = "R. E. Carlson and C. A. Hall", title = "{Ritz} approximations to two-dimensional boundary value problems", journal = j-NUM-MATH, volume = "18", number = "2", pages = "171--181", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Westinghouse Bettis Atomic Power Lab., West Mifflin, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; integral equations; partitioning; plane strain elasticity; polygonal domain; Ritz approximations; steady state heat flow; triangulation", treatment = "T Theoretical or Mathematical", } @Article{Deutsch:1971:IDE, author = "Eckart Deutsch and Christoph Zenger", title = "Inclusion domains for the eigenvalues of stochastic matrices", journal = j-NUM-MATH, volume = "18", number = "2", pages = "182--192", month = apr, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Forschunginst. Funk and Math., Werthoven, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues; eigenvalues and eigenfunctions; inclusion domains; matrix algebra; stochastic matrices", treatment = "T Theoretical or Mathematical", } @Article{Pomentale:1971:CIM, author = "Tomaso Pomentale", title = "A class of iterative methods for holomorphic functions", journal = j-NUM-MATH, volume = "18", number = "3", pages = "193--203", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "CERN, Geneva, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "descent property; holomorphic functions; iterative methods; polynomial", treatment = "T Theoretical or Mathematical", } @Article{Troch:1971:ISR, author = "Inge Troch", title = "{{\"U}ber die Stabilit{\"a}t der Ruhelage bei Differentialgleichungen mit quasihomogenen rechten Seiten}. ({German}) [{On the steady-state stability of differential equations with quasi-homogeneous right sides}]", journal = j-NUM-MATH, volume = "18", number = "3", pages = "204--212", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 20:42:12 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Tech. Hochschule, Wien, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "criteria; differential equations; homogeneous right sides; quasihomogeneous; stability criteria; steady state stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Auslender:1971:MNP, author = "A. Auslender", title = "{M}{\'e}thodes num{\'e}riques pour la d{\'e}composition et la minimisation de fonctions non diff{\'e}rentiables. ({French}) [{Numerical} methods for the decomposition and minimisation of non-differentiable functions]", journal = j-NUM-MATH, volume = "18", number = "3", pages = "213--223", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4190 (Other numerical methods)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "decomposition; Jacobi and Southwell method; minimisation; nondifferentiable functions; numerical methods; reflexive Banach spaces; successive overrelaxation", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Dekker:1971:FPT, author = "Theodorus J. Dekker", title = "A Floating-Point Technique for Extending the Available Precision", journal = j-NUM-MATH, volume = "18", number = "3", pages = "224--242", month = jun, year = "1971", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01397083", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "68A55", MRnumber = "MR0299007 (45 \#8056)", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", URL = "http://www-gdz.sub.uni-goettingen.de/cgi-bin/digbib.cgi?PPN362160546_0018", abstract = "A technique is described for expressing multilength floating-point arithmetic in terms of singlelength floating point arithmetic, i.e. the arithmetic for an available (say: single or double precision) floating-point number system. The basic algorithms are exact addition and multiplication of two singlelength floating-point numbers, delivering the result as a doublelength floating-point number. A straight-forward application of the technique yields a set of algorithms for doublelength arithmetic which are given as ALGOL 60 procedures.", acknowledgement = ack-nhfb # " and " # ack-nj, classification = "C5230 (Digital arithmetic methods)", corpsource = "Math. Centre, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accurate floating-point summation; ALGOL 60 procedures; available precision; digital arithmetic; double precision; multilength; single; single length floating point arithmetic; subroutines", remark = "Report MR 118/70, Computation Department, Mathematical Centre, Amsterdam. Part of this research was done while the author was visiting Bell Telephone Laboratories, Murray Hill, New Jersey.", treatment = "T Theoretical or Mathematical", } @Article{Prenter:1971:PS, author = "P. M. Prenter", title = "Piecewise {$L$}-splines", journal = j-NUM-MATH, volume = "18", number = "3", pages = "243--253", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Colorado State Univ., Fort Collins, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error estimates; extended error estimates; integral relations; L-splines; linear differential operator; normal linear differential operators; null space; one variable; piecewise fits; spline functions; splines (mathematics); uniformly bounded family", treatment = "T Theoretical or Mathematical", } @Article{Cannon:1971:CIS, author = "John J. Cannon", title = "Computing the ideal structure of finite semigroups", journal = j-NUM-MATH, volume = "18", number = "3", pages = "254--266", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4220 (Automata theory)", corpsource = "Univ. Sydney, NSW, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "equivalence classes; finite automata; finite semigroup; Green relations; ideal structure", treatment = "T Theoretical or Mathematical", } @Article{Einarsson:1971:NTI, author = "Bo Einarsson", title = "Numerical treatment of integro-differential equations with a certain maximum property", journal = j-NUM-MATH, volume = "18", number = "3", pages = "267--288", month = jun, year = "1971", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Res. Inst. Nat. Defense, Tumba, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "discretization; error estimations; initial value problem; integro-differential equations; integrodifferential equations; logarithmic norm; maximum norm; maximum points; maximum property; numerical solution; ordinary differential equations; space variable integration; time variable differentiation; weighted Euclidean norm", treatment = "T Theoretical or Mathematical", } @Article{Brown:1972:DFA, author = "Kenneth M. Brown and J. E. {Dennis, Jr.}", title = "Derivative free analogues of the {Levenberg--Marquardt} and {Gauss} algorithms for nonlinear least squares approximation", journal = j-NUM-MATH, volume = "18", number = "4", pages = "289--298", month = aug, year = "1972", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01404679", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "In this paper we give two derivative-free computational algorithms for nonlinear least squares approximation. The algorithms are finite difference analogues of the Levenberg-Marquardt and Gauss methods. Local convergence theorems for the algorithms are proven. In the special case when the residuals are zero at the minimum, we show that certain computationally simple choices of the parameters lead to quadratic convergence. Numerical examples are included.", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Minnesota, Minneapolis, MN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; derivative free analogues; finite difference analogues; Gauss method; least squares approximations; Levenberg Marquardt method; local convergence theorems; nonlinear least squares approximation; quadratic convergence; residuals; zero", treatment = "T Theoretical or Mathematical", } @Article{King:1972:TMN, author = "Richard F. King", title = "Tangent methods for nonlinear equations", journal = j-NUM-MATH, volume = "18", number = "4", pages = "298--304", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Argonne Nat. Lab., IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "alternate function; derivative values; hybrid methods; Muller's method; nonlinear equations; numerical methods; secant; tangent methods", treatment = "T Theoretical or Mathematical", } @Article{Gargantini:1972:CAD, author = "Irene Gargantini and Peter Henrici", title = "Circular arithmetic and the determination of polynomial zeros", journal = j-NUM-MATH, volume = "18", number = "4", pages = "305--320", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Univ. Western Ontario, London, Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "circular arithmetic; cubically convergent algorithm; determination; error bounds; extended complex plane; interval arithmetic; locating zeros; logarithmic derivative; M{\"o}bius transformations; Newton's method; numerical methods; poles and zeros; polynomial zeros; polynomials; simultaneous approximation; transcendental functions", treatment = "T Theoretical or Mathematical", } @Article{Barker:1972:MN, author = "George Phillip Barker", title = "Monotone norms", journal = j-NUM-MATH, volume = "18", number = "4", pages = "321--326", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Missouri, Kansas City, KS, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "dual; linear algebra; monotone norms; nonnegative orthant; partially ordered finite dimensional real spaces; subordinate matrix norm", treatment = "T Theoretical or Mathematical", } @Article{Tsuda:1972:NDF, author = "Takao Tsuda", title = "Numerical differentiation of functions of very many variables", journal = j-NUM-MATH, volume = "18", number = "4", pages = "327--335", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Kyoto Univ., Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary points; differentiation; multidimensional space; multivariable functions; nonlinear interpolation; numerical differentiation; random processes; random samplings", treatment = "T Theoretical or Mathematical", } @Article{Schryer:1972:SMN, author = "N. L. Schryer", title = "Solution of monotone nonlinear elliptic boundary value problems", journal = j-NUM-MATH, volume = "18", number = "4", pages = "336--344", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Bell Telephone Labs. Inc., Murray Hill, NJ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; descent technique; linear uniformly elliptic second order operator; monotone nonlinear elliptic boundary value problems; Newton's method; nonlinear differential equations; partial differential equations; quadratic convergence; sequence of iterates", treatment = "T Theoretical or Mathematical", } @Article{Riess:1972:EEC, author = "R. D. Riess and L. W. Johnson", title = "Error estimates for {Clenshaw--Curtis} quadrature", journal = j-NUM-MATH, volume = "18", number = "4", pages = "345--353", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Virginia Polytech. Inst., Blacksburg, VA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic; bounding; Chebyshev approximation; Chebyshev polynomial; Clenshaw Curtis quadrature; closed formula; elliptic disc; error analysis; error estimates; integration; interpolation; low order continuity; second kind; square integrable; zeros", treatment = "T Theoretical or Mathematical", } @Article{Hubner:1972:ZUG, author = "Otto H{\"u}bner", title = "{Zweiparametrige {\"U}berrelaxation}. ({German}) [{Two parameter overrelaxation}]", journal = j-NUM-MATH, volume = "18", number = "4", pages = "354--366", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 20:43:14 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Justusliebig-Univ., Giessen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; eigenvalues; matrix; matrix algebra; pure imaginary; real; SOR; successive overrelaxation; two parameter overrelaxation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Pietrzykowski:1972:GPM, author = "Tomasz Pietrzykowski", title = "A generalization of the potential method for conditional maxima on the {Banach}, reflexive spaces", journal = j-NUM-MATH, volume = "18", number = "4", pages = "367--372", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Waterloo, Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach reflexive space; conditional maxima; constrained maximum; convergence; convergence of numerical methods; linear algebra; local nonsingular maximum; locally concave functional; locally convex set; potential method; unconstrained maxima", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1972:AFP, author = "Walter Gautschi", title = "Attenuation factors in practical {Fourier} analysis", journal = j-NUM-MATH, volume = "18", number = "5", pages = "373--400", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Purdue Univ., Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2 pi periodic function; attenuation factors; Fourier analysis; function approximation; interpolation; linearity; piecewise polynomial; time honoured procedure; translation invariance; trapezoidal rule approximation", treatment = "T Theoretical or Mathematical", } @Article{Rokne:1972:NMU, author = "Jon Rokne", title = "{Newton}'s method under mild differentiability conditions with error analysis", journal = j-NUM-MATH, volume = "18", number = "5", pages = "401--412", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Univ. Calgan, Alta., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational errors; convergence; convergence of numerical methods; differential equations; error analysis; Frechet derivative; Holder continuous; majorizing sequences; mild differentiability conditions; Newton's method; operator equations; second order differential equation", treatment = "T Theoretical or Mathematical", } @Article{Hadeler:1972:BGG, author = "K. P. Hadeler", title = "{Bemerkungen zum Gradientenverfahren}. ({German}) [{Remarks on gradient methods}]", journal = j-NUM-MATH, volume = "18", number = "5", pages = "413--422", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 20:44:19 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C4190 (Other numerical methods)", corpsource = "Univ. Tubingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary initial values; convergence; convergence of numerical methods; gradient; gradient methods; Hilbert space; iterative methods; monotonicity theorems; Newton; optimisation; steepest descent; unconstrained optimization", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Werner:1972:FRI, author = "Helmut Werner", title = "{Eine faktorisierung der bei der rationalen Interpolation auftretenden Matrizen}. ({German}) [{A factorization of matrices occurring in rational interpolation}]", journal = j-NUM-MATH, volume = "18", number = "5", pages = "423--431", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 20:48:19 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. Numerische Instrumentelle Mathematik, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "coefficients; explicit formula; factorization of matrices; interpolation; matrix algebra; matrix representation; numerical methods; rational interpolation; Wetterling algorithm", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Sack:1972:FSR, author = "R. A. Sack", title = "A fully stable rational version of the {$QR$} algorithm for tridiagonal matrices", journal = j-NUM-MATH, volume = "18", number = "5", pages = "432--441", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Salford, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence criterion; convergence of numerical methods; eigenvalue; eigenvalues and eigenfunctions; iterations; iterative methods; matrix algebra; perturbation estimation; precision; QR algorithm; stability; tridiagonal matrices; virtual origin shifts", treatment = "T Theoretical or Mathematical", } @Article{Weiss:1972:PIM, author = "R. Weiss and R. S. Anderssen", title = "A product integration method for a class of singular first kind {Volterra} equations", journal = j-NUM-MATH, volume = "18", number = "5", pages = "442--456", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Australian National Univ., Canberra, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; existence theorem of Kowalewski; integral equations; kernels; Lipschitz continuous first derivative; midpoint product integration method; product integration method; singular first kind Volterra equations", treatment = "T Theoretical or Mathematical", } @Article{Morris:1972:ITS, author = "Wm. L. Morris", title = "Inclusion theorems for a section of a matrix", journal = j-NUM-MATH, volume = "18", number = "5", pages = "457--464", month = oct, year = "1972", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01406682", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Theorems relating the eigensystem of a matrix to a so-called section of the matrix are given. These results are applicable in analysing a class of algorithms to solve $A x = \lambda x$.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Houston, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigensystem; eigenvalues and eigenfunctions; inclusion theorems; matrix; matrix algebra; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Sack:1972:AGQ, author = "R. A. Sack and A. F. Donovan", title = "An algorithm for {Gaussian} quadrature given modified moments", journal = j-NUM-MATH, volume = "18", number = "5", pages = "465--478", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Salford, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "3 term recurrence relations; algebraic; ALGOL procedure; Christoffel weights; co-diagonal matrix; convergence; convergence of numerical methods; eigenvalues; Gaussian quadrature; Given's method; integration; long quotient modified difference algorithm; modified moments; one dimensional product integral; polynomials; weight function", treatment = "T Theoretical or Mathematical", } @Article{Russell:1972:CMB, author = "R. D. Russell and L. F. Shampine", title = "A collocation method for boundary value problems", journal = j-NUM-MATH, volume = "19", number = "1", pages = "1--28", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Colorado State Univ., Fort Collins, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; collocation method; convergence; convergence of numerical methods; piecewise polynomial functions", treatment = "T Theoretical or Mathematical", } @Article{Amann:1972:NLN, author = "Herbert Amann", title = "{{\"U}ber die n{\"a}hrungswise L{\"o}sung nichtlinearer Integralgleichungen}. ({German}) [{On the approximate solution of nonlinear integral equations}]", journal = j-NUM-MATH, volume = "19", number = "1", pages = "29--45", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 20:53:09 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Ruhr Univ., Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; Hammerstein; Hilbert space; integral equations; iteration method; iterative methods; Newton's method; nonlinear equations; nonlinear integral equations", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Askey:1972:PCN, author = "Richard Askey", title = "Positivity of the {Cotes} numbers for some {Jacobi} abscissas", journal = j-NUM-MATH, volume = "19", number = "1", pages = "46--48", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cotes numbers; integration; Jacobi abscissas; polynomials; positivity; quadrature schemes", treatment = "T Theoretical or Mathematical", } @Article{vanderSluis:1972:RTQ, author = "A. van der Sluis", title = "The remainder term in quadrature formulae", journal = j-NUM-MATH, volume = "19", number = "1", pages = "49--55", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Rijksuniv. Utrecht, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integration; numerical methods; quadrature formulae; remainder term; Simpson's rule; step size", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1972:IZN, author = "G. Alefeld and J. Herzberger", title = "{Nullstelleneinschliessung Mit Dem Newton-Verfahren Ohne Invertierung Von Intervallmatrizen}. ({German}) [{Including zeros of nonlinear equations by the Newton method without inverting interval matrices}]", journal = j-NUM-MATH, volume = "19", number = "1", pages = "56--64", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Univ. Karlsruhe, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "interval arithmetic; Newton method; nonlinear equations; poles and zeros; zeros", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Lyche:1972:CMM, author = "Tom Lyche", title = "{Chebyshevian} multistep methods for ordinary differential equations", journal = j-NUM-MATH, volume = "19", number = "1", pages = "65--75", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; Chebyshevian multistep methods; differential equations; exact integration; ordinary differential equations; smooth stepsize dependent coefficients", treatment = "T Theoretical or Mathematical", } @Article{Brenner:1972:PMS, author = "J. L. Brenner and J. de Pillis", title = "Partitioned matrices and {Seidel} convergence", journal = j-NUM-MATH, volume = "19", number = "1", pages = "76--80", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. California, Riverside, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; iteration; iterative methods; matrix algebra; partitioned matrices; proof; Seidel convergence", treatment = "T Theoretical or Mathematical", } @Article{Strang:1972:AFE, author = "Gilbert Strang", title = "Approximation in the finite element method", journal = j-NUM-MATH, volume = "19", number = "1", pages = "81--98", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "MIT, Cambridge, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; convergence of numerical methods; finite element method; function approximation; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Blair:1972:EBS, author = "J. J. Blair", title = "Error bounds for the solution of nonlinear two-point boundary value problems by {Galerkin}'s method", journal = j-NUM-MATH, volume = "19", number = "2", pages = "99--109", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "EG and G Inc., Las Vegas, NV, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; differential equation; elliptic differential operator; error analysis; error bounds; Galerkin's method; nonlinear differential equations; nonlinear two point boundary value problems; numerical methods; polynomial spline trial functions", treatment = "T Theoretical or Mathematical", } @Article{Carroll:1972:SAC, author = "M. P. Carroll", title = "Simultaneous {$L_1$} approximation of a compact set of real-valued functions", journal = j-NUM-MATH, volume = "19", number = "2", pages = "110--115", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; function approximation; L/sub 1/ compact set; polynomials; real valued functions; simultaneous Chebyshev approximation; uniqueness results", treatment = "T Theoretical or Mathematical", } @Article{Antes:1972:SLI, author = "Heinz Antes", title = "{Splinefunktionen bei der L{\"o}sung von Integralgleichungen}. ({German}) [{On the solution of integral equations with spline functions}]", journal = j-NUM-MATH, volume = "19", number = "2", pages = "116--126", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 20:54:00 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "T. H. Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; estimation; integral equations; interpolation; interpolation spline; linear algebraic equations; numerical error; numerical method; numerical methods; spline functions; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Fix:1972:FEA, author = "G. Fix and N. Nassif", title = "On finite element approximations to time-dependent problems", journal = j-NUM-MATH, volume = "19", number = "2", pages = "127--135", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Harvard Univ., Cambridge, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; difference quotients; dissipative initial value problems; error analysis; error bounds; error estimates; finite element approximations; initial value Cauchy problem; numerical methods; partial differential equations; spline semidiscrete approximations; splines (mathematics); time dependent problems", treatment = "T Theoretical or Mathematical", } @Article{Tissier:1972:IPV, author = "Gilles Tissier", title = "Interpolation {\`a} plusieurs variables sur la sph{\`e}re. ({French}) [{Interpolation} with several variables on the sphere]", journal = j-NUM-MATH, volume = "19", number = "2", pages = "136--145", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "IUT Depart. Informatique, Nancy, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; error bounds; function approximation; interpolation; periodic function; quadrature; trigonometric functions", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Golitschek:1972:CIP, author = "M. v. Golitschek", title = "On the convergence of interpolating periodic spline functions of high degree", journal = j-NUM-MATH, volume = "19", number = "2", pages = "146--154", month = apr, year = "1972", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01402525", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Let the spline function $S_m$ of degree $2 m 0 1$ and period $1$ be the unique solution of the interpolation problem in $\S 1$. An interesting question was posed by Schoenberg [1], p. 125: What happens to $S_m$ if we let $m \to \infty$? In this paper, we prove that the spline functions $S_m$ and their derivatives converge for $m \to \infty$ to a well determined trigonometric polynomial and its derivatives. Estimates for the rate of convergence are given.", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; high degree; interpolating periodic spline functions; interpolation; splines (mathematics); trigonometric polynomial", treatment = "T Theoretical or Mathematical", } @Article{Pierce:1972:HOC, author = "J. G. Pierce and R. S. Varga", title = "Higher order convergence results for the {Rayleigh--Ritz} method applied to eigenvalue problems. {II}. Improved error bounds for eigenfunctions", journal = j-NUM-MATH, volume = "19", number = "2", pages = "155--169", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Southern California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximating; convergence of numerical methods; eigenfunctions; eigenvalue problems; eigenvalues and eigenfunctions; error analysis; error bounds; error estimates; Galerkin approximation; higher order convergence results; Rayleigh Ritz method; uniform norms", treatment = "T Theoretical or Mathematical", } @Article{Kellogg:1972:CEM, author = "R. B. Kellogg", title = "On compiles eigenvalues of {$M$} and {$P$} matrices", journal = j-NUM-MATH, volume = "19", number = "2", pages = "170--175", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex eigenvalues; eigenvalues and eigenfunctions; inequalities; M and P matrices; matrix algebra; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Wilkinson:1972:NMV, author = "J. H. Wilkinson", title = "Note on matrices with a very ill-conditioned eigenproblem", journal = j-NUM-MATH, volume = "19", number = "2", pages = "176--178", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Nat. Phys. Lab., Teddington, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; eigenvectors; ill conditioned eigenproblem; matrices; matrix algebra; multiple eigenvalue; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Gaier:1972:EKM, author = "Dieter Gaier", title = "{Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden}. ({German}) [{Determination of the conformal modules of quadrilaterals by difference methods}]", journal = j-NUM-MATH, volume = "19", number = "2", pages = "179--194", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis)", corpsource = "Univ. Giessen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conformal modules; difference methods; Dirichlet integral; discretely harmonic function; function evaluation; mesh points; numerical methods; quadrilaterals", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Beyer:1972:ECC, author = "W. A. Beyer and M. S. Waterman", title = "Ergodic computations with continued fractions and {Jacobi}'s algorithm", journal = j-NUM-MATH, volume = "19", number = "3", pages = "195--205", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See errata \cite{Beyer:1972:EEC}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lancaster:1972:NSM, author = "P. Lancaster", title = "A note on sub-multiplicative norms", journal = j-NUM-MATH, volume = "19", number = "3", pages = "206--208", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zenger:1972:CSB, author = "Christoph Zenger", title = "A comparison of some bounds for the nontrivial eigenvalues of stochastic matrices", journal = j-NUM-MATH, volume = "19", number = "3", pages = "209--211", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:13:52 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Steinberg:1972:NSV, author = "J. Steinberg", title = "Numerical solution of {Volterra} integral equation", journal = j-NUM-MATH, volume = "19", number = "3", pages = "212--217", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Technion, Israel Inst. Technol., Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic behaviour; error analysis; Gregory's formula; integral equations; magnitude; numerical methods; numerical solution; recursive inequalities; second type; truncation error; Volterra integral equation", treatment = "T Theoretical or Mathematical", } @Article{Guderley:1972:BTC, author = "K. G. Guderley and C. L. Keller", title = "A basic theorem in the computation of ellipsoidal error bounds", journal = j-NUM-MATH, volume = "19", number = "3", pages = "218--229", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Engels:1972:KND, author = "Hermann Engels", title = "{{\"U}ber Konvergenzkriterien f{\"u}r numerische Differentiationsverfahren}. ({German}) [{On convergence criteria for numerical differentiation procedures}]", journal = j-NUM-MATH, volume = "19", number = "3", pages = "230--237", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 22:42:12 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Kernforschungsanlage Julich GmbH, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence criteria; convergence of numerical methods; differentiation; necessary condition; numerical differentiation procedures; pointwise convergence; sufficient condition", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Johnston:1972:CIR, author = "R. L. Johnston and D. D. Olesky", title = "On the computation of inclusion regions for partitioned matrices", journal = j-NUM-MATH, volume = "19", number = "3", pages = "238--247", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Atkinson:1972:NSF, author = "Kendall Atkinson", title = "The numerical solution of {Fredholm} integral equations of the second kind with singular kernels", journal = j-NUM-MATH, volume = "19", number = "3", pages = "248--259", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Indiana Univ., Bloomington, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; Fredholm integral equations; integral equations; numerical methods; numerical solution; product integration; second kind; singular kernels", treatment = "T Theoretical or Mathematical", } @Article{Hadeler:1972:BAW, author = "K. P. Hadeler", title = "{Bemerkungen zu einer Arbeit von W. Wetterling {\"u}ber positive Operatoren}. ({German}) [{Remarks on a work by W. Wetterling on positive operators}]", journal = j-NUM-MATH, volume = "19", number = "3", pages = "260--265", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:52:18 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Dailey:1972:EBG, author = "J. W. Dailey and J. G. Pierce", title = "Error bounds for the {Galerkin} method applied to singular and nonsingular boundary value problems", journal = j-NUM-MATH, volume = "19", number = "3", pages = "266--282", month = jun, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; differential equations; error analysis; error bounds; Galerkin method; L/sup 2/; N-norm projection; numerical methods; singular and nonsingular boundary value problems; uniform norm error estimates", treatment = "T Theoretical or Mathematical", } @Article{Field:1972:PET, author = "David A. Field and Willson B. Jones", title = "{\em A priori\/} estimates for truncation error of continued fractions {$K(1/b_n)$}", journal = j-NUM-MATH, volume = "19", number = "4", pages = "283--302", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C5230 (Digital arithmetic methods)", corpsource = "Coll. Holy Cross, Worcester, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a priori estimates; complex elements; complex logarithm; continued fractions; digital arithmetic; error analysis; error estimates; K(1/b/sub n/); numerical methods; ratio of consecutive Bessel functions; truncation error", treatment = "T Theoretical or Mathematical", } @Article{Robert:1972:NAA, author = "F. Robert and J. F. Maitre", title = "Normes et algorithmes associ{\'e}s {\`a} une d{\'e}coupe de matrice (It{\'e}ration du principe de {Gauss--Seidel}). ({French}) [{Norms} and algorithms associated with a splitting of matrix (Iteration of the {Gauss--Seidel} principle)]", journal = j-NUM-MATH, volume = "19", number = "4", pages = "303--325", month = aug, year = "1972", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01404878", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Lyon I, Villeurbanne, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "coherent; compatible; convergence of iterations; Gauss Seidel principle; iteration; iterative methods; matrix algebra; norms; splitting of matrix", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Melkes:1972:RPB, author = "Franti{\v{s}}ek Melkes", title = "Reduced piecewise bivariate {Hermite} interpolations", journal = j-NUM-MATH, volume = "19", number = "4", pages = "326--340", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Res. and Dev. Inst., Brno, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; elementary rectangle; general quasilinear equation; integral equations; interpolation; nonlinear integral equation; reduced piecewise bivariate Hermite interpolations", treatment = "T Theoretical or Mathematical", } @Article{Robinson:1972:ENM, author = "Stephen M. Robinson", title = "Extension of {Newton}'s method to nonlinear functions with values in a cone", journal = j-NUM-MATH, volume = "19", number = "4", pages = "341--347", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Univ. Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence results; error analysis; error bounds; extension; Kantorovich theorem; Newton's method; nonempty closed convex cone; nonlinear functions; numerical methods; optimisation; reflexive Banach space; values", treatment = "T Theoretical or Mathematical", } @Article{Bereanu:1972:CCM, author = "Bernard Bereanu", title = "On the convergence of {Cartesian} multidimensional quadrature formulae", journal = j-NUM-MATH, volume = "19", number = "4", pages = "348--350", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Center Math. Statistics, Acad. Bucharest, Romania", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cartesian multidimensional quadrature formulae; convergence; convergence of numerical methods; integration", treatment = "T Theoretical or Mathematical", } @Article{Gekeler:1972:MIL, author = "Eckart Gekeler", title = "{{\"U}ber mehrstufige Iterationsverfahren und die L{\"o}sung der Hammersteinschen Gleichung}. ({German}) [{On several stage iterative methods and the solution of the {Hammerstein} equations}]", journal = j-NUM-MATH, volume = "19", number = "4", pages = "351--360", month = aug, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 20:20:09 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Univ. Mannheim, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotically optimal; Hammerstein equations; integral equations; iterative methods; numerical solution; several stage iterative methods; two step iterative method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kemper:1972:LMM, author = "Gene A. Kemper", title = "Linear multistep methods for a class of functional differential equations", journal = j-NUM-MATH, volume = "19", number = "5", pages = "361--372", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Iowa State Univ., Iowa City, IA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; differential equations; fixed delays; functional differential equations; functional equations; linear multistep methods; variable delays", treatment = "T Theoretical or Mathematical", } @Article{Paget:1972:ANE, author = "D. F. Paget and David Elliott", title = "An algorithm for the numerical evaluation of certain {Cauchy} principal value integrals", journal = j-NUM-MATH, volume = "19", number = "5", pages = "373--385", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Tasmania, Hobart, Tas., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy principal value integrals; integration; numerical evaluation", treatment = "T Theoretical or Mathematical", } @Article{Brown:1972:IGR, author = "H. Brown and J. Neub{\"u}ser and H. Zassenhaus", title = "On integral groups. {I}: {The} reducible case", journal = j-NUM-MATH, volume = "19", number = "5", pages = "386--399", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 20:47:18 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods)", corpsource = "Ohio State Univ., Columbus, OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integral groups; number theory; reducible case; reducible integral matrix groups", treatment = "T Theoretical or Mathematical", } @Article{Pichat:1972:CSA, author = "M. Pichat", title = "Correction d'une Somme en Arithm{\'e}tique {\`a} Virgule Flottante. ({French}) [{Correction} of a Sum in Floating-Point Arithmetic]", journal = j-NUM-MATH, volume = "19", number = "5", pages = "400--406", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods)", corpsource = "Conservatoire Nat. Arts Metiers, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "correction; digital arithmetic; floating point arithmetic; rounding off law; sum; truncature with guard digit", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Forster:1972:DGF, author = "Peter Forster", title = "{Die diskrete Greensche Funktion und Fehlerabsch{\"a}tzungen zum Galerkin-Verfahren}. ({German}) [{Discrete variational {Green}'s function and error bounds for {Galerkin} approximations}]", journal = j-NUM-MATH, volume = "19", number = "5", pages = "407--418", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 20:24:00 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Tech. Univ., Hannover, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; differential equations; discrete variational Green's function; error analysis; error bounds; Galerkin approximations; ordinary differential equations", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Hunter:1972:SGF, author = "D. B. Hunter", title = "Some {Gauss-type} formulae for the evaluation of {Cauchy} principal values of integrals", journal = j-NUM-MATH, volume = "19", number = "5", pages = "419--424", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Univ. Bradford, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy principal values of integrals; Gauss Legendre quadrature; Gauss type formulae; integration; numerical evaluation", treatment = "T Theoretical or Mathematical", } @Article{Miller:1972:SFN, author = "Webb Miller", title = "On the stability of finite numerical procedures", journal = j-NUM-MATH, volume = "19", number = "5", pages = "425--432", month = oct, year = "1972", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01404925", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Many procedures, for example Gaussian elimination with partial pivoting, have been shown to be stable in the following sense. The effect of round-off errors is to produce a computed solution which is the exact solution for slightly different data. Sometimes that is equivalent to the computed solution being close to the exact solution. In this paper we study this equivalence.", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; finite numerical procedures; Gaussian elimination with partial pivoting; numerical methods; roundoff errors; stability", treatment = "T Theoretical or Mathematical", } @Article{Meyer-Spasche:1972:CMS, author = "Rita Meyer-Spasche", title = "A constructive method of solving the {Lyapunov} equation for complex matrices", journal = j-NUM-MATH, volume = "19", number = "5", pages = "433--438", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Max-Planck-Inst. Phasmaphys., Munich, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constructive method; Lyapunov equation for complete matrices; Lyapunov methods; matrix algebra; upper Hessenberg form", treatment = "T Theoretical or Mathematical", } @Article{Saint-Pierre:1972:CND, author = "Patrick Saint-Pierre", title = "Sur la convergence num{\'e}rique de diff{\'e}rentes m{\'e}thodes de d{\'e}composition pour une class de probl{\`e}mes elliptiques. ({French}) [{On} the numerical convergence of different methods of decomposition for a class of elliptic problems]", journal = j-NUM-MATH, volume = "19", number = "5", pages = "439--449", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; decomposition; elliptic problems; nonlinear differential equations; numerical convergence", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1972:FES, author = "Ivo Babu{\v{s}}ka and Michael B. Rosenzweig", title = "A finite element scheme for domains with corners", journal = j-NUM-MATH, volume = "20", number = "1", pages = "1--21", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; domains with corners; finite element scheme; L/sub 2/ convergence; partial differential equations; polygonal domains in weighted Sobolev spaces; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Brown:1972:IGI, author = "H. Brown and J. Neub{\"u}ser and H. Zassenhaus", title = "On integral groups. {II}: {The} irreducible case", journal = j-NUM-MATH, volume = "20", number = "1", pages = "22--31", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods)", corpsource = "Ohio State Univ., Columbus, OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integral groups; number theory; reducible case; reducible integral matrix groups", treatment = "T Theoretical or Mathematical", } @Article{Schmeisser:1972:OQS, author = "Gerhard Schmeisser", title = "{Optimale Quadraturformeln mit semidefiniten Kernen}. ({German}) [{Optimal} Quadrature Formulas with Semidefinite Kernels]", journal = j-NUM-MATH, volume = "20", number = "1", pages = "32--53", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Cenacchi:1972:QRS, author = "G. Cenacchi and A. {De Matteis}", title = "Quasi-random sequences by power residues", journal = j-NUM-MATH, volume = "20", number = "1", pages = "54--63", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brezinski:1972:CAC, author = "Claude Brezinski", title = "Conditions d'application et de convergence de proc{\'e}d{\'e}s d'extrapolation. ({French}) [{Application} and convergence conditions for some extrapolation processes]", journal = j-NUM-MATH, volume = "20", number = "1", pages = "64--79", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "application; convergence conditions; convergence of numerical methods; convergent sequences; epsilon algorithm; extrapolation algorithms; function approximation", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Seppala:1972:NTL, author = "Veikko Sepp{\"a}l{\"a}", title = "A note on the theory of limit processes for solving finite equations", journal = j-NUM-MATH, volume = "20", number = "1", pages = "80--86", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kress:1972:NIP, author = "Rainer Kre{\ss}", title = "{Zur numerischen Integration periodischer Funktionen nach der Rechteckregel}. ({German}) [{On the numerical integration of periodic functions by the trapezoidal rule}]", journal = j-NUM-MATH, volume = "20", number = "1", pages = "87--92", month = feb, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Lehrstuhle Numerische and Angewandte Math., G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Davis' method; error analysis; error estimates; integration; numerical integration; periodic functions; trapezoidal rule", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kammerer:1972:ABN, author = "W. J. Kammerer and R. S. Varga", title = "On Asymptotically Best Norms for Powers of Operators", journal = j-NUM-MATH, volume = "20", number = "2", pages = "93--98", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Georgia Inst. Technol., Atlanta, GA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotically best norms; iterative methods; la; large systems; linear equations; matrix algebra; matrix powers; norm; powers of operators; successive overrelaxation iterative method", treatment = "T Theoretical or Mathematical", } @Article{Mansfield:1972:VCC, author = "Lois Mansfield", title = "On the variational characterization and convergence of bivariate splines", journal = j-NUM-MATH, volume = "20", number = "2", pages = "99--114", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Kansas, Lawrence, KS, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bivariate splines; convergence; convergence of numerical methods; splines (mathematics); variational characterization", treatment = "T Theoretical or Mathematical", } @Article{Golomb:1972:MGN, author = "M. Golomb and R. A. Tapia", title = "The metric gradient in normed linear spaces", journal = j-NUM-MATH, volume = "20", number = "2", pages = "115--124", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:01:15 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Purdue Univ., Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Hilbert space; metric gradient; normed linear spaces; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Kress:1972:GHT, author = "Rainer Kre{\ss}", title = "On general {Hermite} trigonometric interpolation", journal = j-NUM-MATH, volume = "20", number = "2", pages = "125--138", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Lehrstuhle Numerische and Angewandte Math., G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "equidistant interpolation points; general Hermite trigonometric interpolation; integration; interpolation; interpolation polynomials; quadrature formulae", treatment = "T Theoretical or Mathematical", } @Article{Gutknecht:1972:PEB, author = "Martin Gutknecht", title = "A posteriori error bounds for the zeros of a polynomial", journal = j-NUM-MATH, volume = "20", number = "2", pages = "139--148", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori error bounds; error analysis; Newton like interpolation formula; poles and zeros; polynomial; polynomials; Rouche's theorem; zeros", treatment = "T Theoretical or Mathematical", } @Article{vanderHouwen:1972:ERF, author = "P. J. van der Houwen", title = "Explicit {Runge--Kutta} formulas with increased stability boundaries", journal = j-NUM-MATH, volume = "20", number = "2", pages = "149--164", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Centrum, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; explicit Runge Kutta formulae; increased stability boundaries; ordinary differential equations; partial differential equations; predictor-corrector methods", treatment = "T Theoretical or Mathematical", } @Article{Carasso:1972:EAR, author = "Claude Carasso", title = "{\'E}tude de l'algorithme de {R{\'e}m{\`e}s} en l'absence de condition de {Haar}. ({French}) [{Study} of the {Remes}-algorithm without the {Haar} condition]", journal = j-NUM-MATH, volume = "20", number = "2", pages = "165--178", month = apr, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Sci. and M{\'e}dicale Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "best approximation; convergence; convergence of numerical methods; function approximation; Haar condition; Remes algorithm; unicity", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1973:FEM, author = "Ivo Babu{\v{s}}ka", title = "The finite element method with {Lagrangian} multipliers", journal = j-NUM-MATH, volume = "20", number = "3", pages = "179--192", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; differential equations; Dirichlet problem; finite element method; Lagrangian multipliers; rate of convergence; second order differential equations", treatment = "T Theoretical or Mathematical", } @Article{Chatelin:1973:ADS, author = "F. Chatelin", title = "Approximation du spectre d'un op{\'e}rateur lin{\'e}are: application aux op{\'e}rateurs differentiels elliptiques non autoadjoints. ({French}) [{Approximation} of the spectrum of a linear operator: application to nonselfadjoint differential elliptic operators]", journal = j-NUM-MATH, volume = "20", number = "3", pages = "193--204", month = jun, year = "1973", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436562", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. Mathematiques Appliqu{\'e}es, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; eigenvalues and eigenfunctions; function approximation; linear operator; nonselfadjoint differential elliptic operators; spectrum", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Householder:1973:PGA, author = "A. S. Householder", title = "Postscript to: {``Generalizations of an algorithm of Sebastiao e Silva''}", journal = j-NUM-MATH, volume = "20", number = "3", pages = "205--207", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schiop:1973:SRP, author = "Alexandru I. {\c{S}}chiop", title = "Stability of {Ritz} procedure for nonlinear two-point boundary value problem", journal = j-NUM-MATH, volume = "20", number = "3", pages = "208--212", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Acad. Sci., Bucarest, Romania", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; nonlinear two point boundary value problem; Ritz procedure; stability", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1973:GMP, author = "Jim {Douglas, Jr.} and Todd Dupont", title = "{Galerkin} methods for parabolic equations with nonlinear boundary conditions", journal = j-NUM-MATH, volume = "20", number = "3", pages = "213--237", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Chicago, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; Galerkin methods; nonlinear boundary conditions; parabolic equations; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Strassen:1973:BEF, author = "Volker Strassen", title = "{Die Berechnungskomplexit{\"a}t von elementarsymmetrischen Funktionen und von Interpolationskoeffizienten}. ({German}) [{The computational complexity of elementary symmetric functions and interpolation coefficients}]", journal = j-NUM-MATH, volume = "20", number = "3", pages = "238--251", month = jun, year = "1973", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436566", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "$n(\lg_2 n - 2)$ multiplications and divisions are necessary to compute the set of elementary symmetric functions in $n$ indeterminates. This lower bound and similar ones for the computational complexity of various evaluation and interpolation problems are obtained by introducing ideas and results from algebraic geometry.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational complexity; elementary symmetric functions; interpolation; interpolation coefficients", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Varga:1973:MGS, author = "Richard S. Varga and Bernard W. Levinger", title = "On Minimal {Gerschgorin} Sets for Families of Norms", journal = j-NUM-MATH, volume = "20", number = "3", pages = "252--256", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; families of norms; Gerschgorin's theorem; la; matrices; matrix algebra; minimal Gerschgorin sets; norm", treatment = "T Theoretical or Mathematical", } @Article{Lucas:1973:HOP, author = "Thomas R. Lucas and George W. Reddien", title = "A high order projection method for nonlinear two point boundary value problems", journal = j-NUM-MATH, volume = "20", number = "4", pages = "257--270", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. North Carolina, Charlotte, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; high order projection method; nonlinear two point boundary value problems; polynomial spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Rakotch:1973:NSV, author = "E. Rakotch", title = "Numerical solution of {Volterra} integral equations", journal = j-NUM-MATH, volume = "20", number = "4", pages = "271--279", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Israel Inst. Technol., Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence properties; integral equations; numerical methods; numerical solution; quadrature formulae; Volterra integral equations", treatment = "T Theoretical or Mathematical", } @Article{Ansorge:1973:FKF, author = "Rainer Ansorge", title = "{$f$-Konvergenz und $f$-Stetigkeit von Operatorenfolgen auf metrischen R{\"a}umen}. ({German}) [$f$-Convergence and $f$-Stability of Operator Sequences in Metric Spaces]", journal = j-NUM-MATH, volume = "20", number = "4", pages = "280--287", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Cryer:1973:NSB, author = "Colin W. Cryer", title = "The numerical solution of boundary value problems for second order functional differential equations by finite differences", journal = j-NUM-MATH, volume = "20", number = "4", pages = "288--299", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; difference equations; differential equations; finite differences; numerical solution; second order functional differential equations", treatment = "T Theoretical or Mathematical", } @Article{vanDooren:1973:NCF, author = "Ren{\'e} van Dooren", title = "Numerical computation of forced oscillations in coupled {Duffing} equations", journal = j-NUM-MATH, volume = "20", number = "4", pages = "300--311", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Alefeld:1973:UKZ, author = "G. Alefeld", title = "{{\"U}ber konvergente Zerlegungen von Matrizen}. ({German}) [{On} Convergent Splittings of Matrices]", journal = j-NUM-MATH, volume = "20", number = "4", pages = "312--316", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:27:08 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Locher:1973:SQG, author = "Franz Locher", title = "{Zur Struktur von Quadraturformeln}. ({German}) [{On} the Structure of Quadrature Formulas]", journal = j-NUM-MATH, volume = "20", number = "4", pages = "317--326", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:28:06 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Brent:1973:OIP, author = "Richard Brent and Shmuel Winograd and Philip Wolfe", title = "Optimal iterative processes for root-finding", journal = j-NUM-MATH, volume = "20", number = "5", pages = "327--341", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:36:46 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Chan:1973:SS, author = "Paula P. Chan", title = "Singular splines", journal = j-NUM-MATH, volume = "20", number = "5", pages = "342--349", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Cleveland State Univ., OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximations; derivatives; interpolate; rational numbers; singular splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Zwas:1973:TSL, author = "Gideon Zwas", title = "On two step {Lax--Wendroff} methods in several dimensions", journal = j-NUM-MATH, volume = "20", number = "5", pages = "350--355", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sachs:1973:IMN, author = "A. Sachs", title = "{Iterationsverfahren f{\"u}r monotone, nicht notwendig Lipschitz-beschr{\"a}nkte Operatoren im Hilbert-Raum}. ({German}) [{Iteration} Method for Monotone Not-Necessarily {Lipschitz}-Limited Operators in {Hilbert} Space]", journal = j-NUM-MATH, volume = "20", number = "5", pages = "356--363", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Meyer-Spasche:1973:MSS, author = "R. Meyer-Spasche", title = "A method of solving the stability-problem for complex matrices", journal = j-NUM-MATH, volume = "20", number = "5", pages = "364--371", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:13:52 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{vonFinckenstein:1973:KDQ, author = "Karl Graf Finck von Finckenstein and Karl-Ulrich von Hagenow", title = "{Konvergenz eines Differenzenverfahrens f{\"u}r quasilineare parabolische Anfangs-Randwertprobleme in Zylindersymmetrie}. ({German}) [{Convergence} of a Difference Method for Quasilinear Parabolic Initial-Boundary Value Problems in Cylindrical Symmetry]", journal = j-NUM-MATH, volume = "20", number = "5", pages = "372--376", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:23:14 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Tsuda:1973:NIF, author = "Takao Tsuda", title = "Numerical integration of functions of very many variables", journal = j-NUM-MATH, volume = "20", number = "5", pages = "377--391", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Hokkaido Univ., Sapporo, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "composite functions; functions of very many variables; integration; multidimensional interpolatory quadrature scheme; numerical integration; samplings", treatment = "T Theoretical or Mathematical", } @Article{Kincaid:1973:CNI, author = "David R. Kincaid", title = "A Class of Norms of Iterative Methods for Solving Systems of Linear Equations", journal = j-NUM-MATH, volume = "20", number = "5", pages = "392--408", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 28 17:28:43 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schonhage:1973:UTG, author = "A. Sch{\"o}nhage", title = "{Unit{\"a}re Transformationen gro{\ss}er Matrizen}. ({German}) [{Unitary} Transformation of Large Matrices]", journal = j-NUM-MATH, volume = "20", number = "5", pages = "409--417", month = oct, year = "1973", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01402563", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 11:00:12 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Wuytack:1973:ARI, author = "Luc Wuytack", title = "An algorithm for rational interpolation similar to the $qd$-algorithm", journal = j-NUM-MATH, volume = "20", number = "5", pages = "418--424", month = oct, year = "1973", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01402564", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 11:00:12 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Morita:1972:CAG, author = "Tohru Morita and Tsuyoshi Horiguchi", title = "Convergence of the arithmetic-geometric mean procedure for the complex variables and the calculation of the complete elliptic integrals with complex modulus", journal = j-NUM-MATH, volume = "20", number = "5", pages = "425--430", month = oct, year = "1972", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01402565", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 10:01:46 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=20&issue=5; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=20&issue=5&spage=425", abstract = "The convergence of the arithmetic-geometric mean procedure is checked for complex variables. The procedure is shown to be useful for the evaluation of the complete elliptic integrals of the first and second kinds with complex modulus. It is suggested that the procedure will be useful also for the numerical calculation of the elliptic integrals and the Jacobian elliptic functions with complex modulus in general.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Beyer:1972:EEC, author = "W. A. Beyer and M. S. Waterman", title = "Errata: {``Ergodic Computations with Continued Fraction and Jacobi's Algorithm''}", journal = j-NUM-MATH, volume = "20", number = "5", pages = "430--430", month = oct, year = "1972", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Jan 13 10:01:46 MST 2011", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=20&issue=5; https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Beyer:1972:ECC}.", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=20&issue=5&spage=430", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Feldstein:1973:NSO, author = "Alan Feldstein and Richard Goodman", title = "Numerical solution of ordinary and retarded differential equations with discontinuous derivatives", journal = j-NUM-MATH, volume = "21", number = "1", pages = "1--13", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Arizona State Univ., Tempe, AZ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; discontinuous derivatives; error analysis; numerical solution; ordinary and retarded differential equations; propagation of discretization error", treatment = "T Theoretical or Mathematical", } @Article{Strom:1973:MEB, author = "Torsten Str{\"o}m", title = "Monotonicity and error bounds in schemes of {Romberg} type for the computation of $f^{(n)}(0)$ by central differences and extrapolation", journal = j-NUM-MATH, volume = "21", number = "1", pages = "14--21", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Res. Inst. Nat. Defence, Stockholm, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "central differences; difference equations; error analysis; error bounds; extrapolation; monotonicity; schemes of Romberg type", treatment = "T Theoretical or Mathematical", } @Article{deHoog:1973:SVI, author = "Frank de Hoog and Richard Weiss", title = "On the solution of {Volterra} integral equations of the first kind", journal = j-NUM-MATH, volume = "21", number = "1", pages = "22--32", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Australian Nat. Univ., Canberra, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; high order finite difference methods; integral equations; solution; Volterra integral equations of the first kind", treatment = "T Theoretical or Mathematical", } @Article{Delchambre:1973:AMD, author = "M. Delchambre", title = "De l'avantage des m{\'e}thodes aux diff{\'e}rences modifi{\'e}es de {Stiefel--Bettis} pour la r{\'e}solution d'{\'e}quations diff{\'e}rentielles du second ordre perturb{\'e}es. ({French}) [{The} advantage of modified {Stiefel--Bettis} difference methods for the solution of perturbed second order differential equations]", journal = j-NUM-MATH, volume = "21", number = "1", pages = "33--36", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Libre Bruxelles, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; modified Stiefel Bettis difference methods; nonlinear van der Pol equation; nonlinear differential equations; perturbed second order differential equations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{deVries:1973:ENM, author = "H. J. de Vries", title = "On the eigenproblem for normal matrices", journal = j-NUM-MATH, volume = "21", number = "1", pages = "37--42", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Katholieke Hogeschool, Tilburg, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenproblem; eigenvalues and eigenfunctions; Householder Givens method; matrix algebra; normal matrices; skew Hermitian", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1973:CMF, author = "Claes Johnson", title = "On the convergence of a mixed finite-element method for plate bending problems", journal = j-NUM-MATH, volume = "21", number = "1", pages = "43--62", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Univ. G{\"o}teborg, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; finite element analysis; mixed finite element method; plate bending problems; stationary variational principle", treatment = "T Theoretical or Mathematical", } @Article{Anselone:1973:PBA, author = "Philip M. Anselone and Joel Davis", title = "Perturbations of best approximation problems", journal = j-NUM-MATH, volume = "21", number = "1", pages = "63--69", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Oregon State Univ., Corvallis, OR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; best approximation problems; continuity; discretization properties; metric; normed linear spaces; perturbations; semimetric spaces", treatment = "T Theoretical or Mathematical", } @Article{Martensen:1973:DER, author = "Erich Martensen", title = "{Darstellung und Entwicklung des Restgliedes der Gregoryschen Quadraturformel mit Hilfe von Spline-Funktionen}. ({German}) [{Representation and development of the remainder term of {Gregory}'s quadrature formula using spline functions}]", journal = j-NUM-MATH, volume = "21", number = "1", pages = "70--80", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 22:03:21 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Karlsruhe, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "development; Gregory's quadrature formula; integration; remainder term; representation; spline functions; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Niethammer:1973:NVA, author = "Wilhelm Niethammer", title = "{Ein numerisches Verfahren zur analytischen Fortsetzung}. ({German}) [{A numerical method for analytical continuation}]", journal = j-NUM-MATH, volume = "21", number = "1", pages = "81--92", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 20:56:55 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Mannheim, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytical continuation; convergence; convergence of numerical methods; numerical method; series (mathematics); summation method; Taylor series", language = "German", treatment = "T Theoretical or Mathematical", } @Article{S:1973:AHA, author = "{H. S.}", title = "{Alston S. Householder Award}", journal = j-NUM-MATH, volume = "21", number = "1", pages = "i--i", month = feb, year = "1973", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436190", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jan 17 13:25:13 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Medley:1973:NGF, author = "H. I. Medley", title = "A note on {$G$}-generating families and isolated {Gerschgorin} disks", journal = j-NUM-MATH, volume = "21", number = "2", pages = "93--95", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues; eigenvalues and eigenfunctions; G-generating families; isolated Gerschgorin discs; matrices; matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Chandra:1973:APS, author = "Jagdish Chandra and Paul William Davis", title = "On the approximation of periodic solutions of equations with bounded nonlinearities", journal = j-NUM-MATH, volume = "21", number = "2", pages = "96--108", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "US Army Res. Office-Durham, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; bounded nonlinearities; differential equations; function approximation; harmonic; Lipschitzian nonlinearity; ordinary differential equations; periodic solutions; phase shift averaging method; sinusoidal forcing term", treatment = "T Theoretical or Mathematical", } @Article{Gordon:1973:TEM, author = "William J. Gordon and Charles A. Hall", title = "Transfinite element methods: blending-function interpolation over arbitrary curved element domains", journal = j-NUM-MATH, volume = "21", number = "2", pages = "109--129", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "General Motors Corp., Warren, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary curved element domains; blending function; curved boundaries; finite element analysis; interpolation; material interfaces; transfinite element methods", treatment = "T Theoretical or Mathematical", } @Article{Bjorck:1973:ACV, author = "{\AA}ke Bj{\"o}rck and Tommy Elfving", title = "Algorithms for Confluent {Vandermonde} Systems", journal = j-NUM-MATH, volume = "21", number = "2", pages = "130--137", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Link{\"o}ping, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithms; arithmetic operations; confluent Vandermonde systems; linear algebra; linear equations; nla; storage; Vandermonde matrix", treatment = "T Theoretical or Mathematical", } @Article{Nielson:1973:BSF, author = "Gregory M. Nielson", title = "Bivariate spline functions and the approximation of linear functionals", journal = j-NUM-MATH, volume = "21", number = "2", pages = "138--160", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Arizona State Univ., Tempe, AZ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; bivariate spline functions; function approximation; Hilbert space; linear functionals; reproducing kernel; splines (mathematics); Taylor expansions", treatment = "T Theoretical or Mathematical", } @Article{Braess:1973:SIZ, author = "D. Braess and K. P. Hadeler", title = "Simultaneous inclusion of the zeros of a polynomial", journal = j-NUM-MATH, volume = "21", number = "2", pages = "161--165", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex polynomial; eigenvalues and eigenfunctions; inclusion sets; interpolation; Lagrangian interpolation formulas; matrix algebra; matrix eigenvalue problem; minimal Gershgorin discs; poles and zeros; polynomials; simultaneous; zeros", treatment = "T Theoretical or Mathematical", } @Article{Schaback:1973:KAE, author = "Robert Schaback", title = "{Konstruktion und algebraische Eigenschaften von {$M$}-Spline-Interpolierenden}. ({German}) [{Construction and algebraic properties of {$M$} spline interpolation}]", journal = j-NUM-MATH, volume = "21", number = "2", pages = "166--180", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic properties; construction; interpolation; M spline interpolation; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Wulbert:1973:NPS, author = "Daniel Wulbert", title = "A note on polynomial splines with free knots", journal = j-NUM-MATH, volume = "21", number = "2", pages = "181--184", month = apr, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hunter:1973:NEC, author = "D. B. Hunter", title = "The numerical evaluation of {Cauchy} principal values of integrals by {Romberg} integration", journal = j-NUM-MATH, volume = "21", number = "3", pages = "185--192", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Bradford, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy principal values; integrals; integration; numerical evaluation; numerical methods; Romberg integration", treatment = "T Theoretical or Mathematical", } @Article{Reddien:1973:PMS, author = "G. W. Reddien", title = "Projection methods and singular two point boundary value problems", journal = j-NUM-MATH, volume = "21", number = "3", pages = "193--205", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Vanderbilt Univ., Nashville, TN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; collocation methods; convergence of numerical methods; convergence rates; existence; projection methods; singular splines; singular two point boundary value problems; splines (mathematics); uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Takahasi:1973:QFO, author = "Hidetosi Takahasi and Masatake Mori", title = "Quadrature formulas obtained by variable transformation", journal = j-NUM-MATH, volume = "21", number = "3", pages = "206--219", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Tokyo, Bunkyo-ku, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; improper integrals; infinite integrals; integration; quadrature formulas; variable transformation", treatment = "T Theoretical or Mathematical", } @Article{Esser:1973:BKH, author = "H. Esser and K. Scherer", title = "{Eine Bemerkungen zur Konvergenz Hermitischer Interpolationsprozesse}. ({German}) [{Convergence of {Hermite} interpolation processes}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "220--222", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 21:59:39 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "RWTH, Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; differentiable function; Hermite interpolation processes; interpolation; polynomial", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Parlett:1973:PGM, author = "B. N. Parlett", title = "Pr{\'e}sentation g{\'e}om{\'e}trique des m{\'e}thodes de calcul des valeurs propres. ({French}) [{Geometric} presentation of methods for calculation of eigenvalues]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "223--233", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. California, Berkeley, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "calculation; convergence; convergence of numerical methods; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; geometric presentation; matrices; matrix algebra; methods", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Neunzert:1973:TAV, author = "H. Neunzert and J. Wick", title = "{Die Theorie der asymptotischen Verteilung und die numerische L{\"o}sung von Integrodifferentialgleichungen}. ({German}) [{The theory of asymptotic distribution and the numerical solution of integrodifferential equations}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "234--243", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:03:24 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "RWTH, Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integro-differential equations; integrodifferential equations; numerical methods; numerical solution; theory of asymptotic distribution", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Lesaint:1973:FEM, author = "P. Lesaint", title = "Finite element methods for symmetric hyperbolic equations", journal = j-NUM-MATH, volume = "21", number = "3", pages = "244--255", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Centre Etudes Limeil, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; differential equations; finite element analysis; finite element methods; rate of convergence; Rayleigh Ritz Galerkin method; symmetric hyperbolic equations", treatment = "T Theoretical or Mathematical", } @Article{Pittnauer:1973:NPK, author = "E. Pittnauer", title = "{Numerische Polynomapproximation mit Knotenpolynomen}. ({German}) [{Numerical polynomial approximation by knot polynomials}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "256--263", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:04:51 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Ruhr Univ., Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; interpolation; Knot polynomials; numerical methods; numerical polynomial approximation; polynomials", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Sautter:1973:SLO, author = "W. Sautter", title = "{Schwankungsbereiche linearer Optimierungsaufgaben}. ({German}) [{Perturbation analysis of linear programming problems}]", journal = j-NUM-MATH, volume = "21", number = "3", pages = "264--269", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:06:45 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "linear programming; linear programming problems; perturbation analysis; perturbation techniques", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1973:SGM, author = "Jim {Douglas, Jr.} and Todd Dupont", title = "Superconvergence for {Galerkin} methods for the two point boundary problem via local projections", journal = j-NUM-MATH, volume = "21", number = "3", pages = "270--278", month = jun, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Chicago, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence of numerical methods; Galerkin methods; local projections; superconvergence; two point boundary problem", treatment = "T Theoretical or Mathematical", } @Article{Allgower:1973:EIC, author = "E. L. Allgower", title = "Exact inverses of certain band matrices", journal = j-NUM-MATH, volume = "21", number = "4", pages = "279--284", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "ETH, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "band matrices; exact inverses; matrix algebra; Toeplitz type", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1973:CDM, author = "G. W. Stewart", title = "Conjugate direction methods for solving systems of linear equations", journal = j-NUM-MATH, volume = "21", number = "4", pages = "285--297", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate; conjugate direction methods; iterations; iterative methods; matrix; matrix algebra; systems of linear equations", treatment = "T Theoretical or Mathematical", } @Article{Mittermayer:1973:IMG, author = "E. Mittermayer", title = "{Eine Iterationsmethode zur mehrdimensionalen gleichm{\"a}{\ss}igen Approximation bei gegebener N{\"a}herung}. ({German}) [{An iterative method for the more dimensional uniform approximation by given nearness}]", journal = j-NUM-MATH, volume = "21", number = "4", pages = "298--302", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ., Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev; Chebyshev approximation; iterative method; iterative methods", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Jeltsch:1973:III, author = "Rolf Jeltsch", title = "Integration of iterated integrals by multistep methods", journal = j-NUM-MATH, volume = "21", number = "4", pages = "303--316", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dalhousie Univ., Halifax, NS, Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; integration; iterated integrals; looking ahead points; multistep methods", treatment = "T Theoretical or Mathematical", } @Article{Scott:1973:FEC, author = "Ridgway Scott", title = "Finite element convergence for singular data", journal = j-NUM-MATH, volume = "21", number = "4", pages = "317--327", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "MIT, Cambridge, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problem; boundary-value problems; convergence of numerical methods; finite element analysis; finite element convergence; singular data", treatment = "T Theoretical or Mathematical", } @Article{Gustafsson:1973:NMS, author = "Bertil Gustafsson", title = "A numerical method for solving singular boundary value problems", journal = j-NUM-MATH, volume = "21", number = "4", pages = "328--344", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Uppsala Univ., Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; numerical method; numerical methods; singular boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Berger:1973:EEF, author = "Alan E. Berger", title = "{$L^2$} error estimates for finite elements with interpolated boundary conditions", journal = j-NUM-MATH, volume = "21", number = "4", pages = "345--349", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "US Naval Ordnance Lab., Silver Spring, Md., USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; finite element analysis; finite elements; interpolated boundary conditions; interpolation; L/sup 2/ error estimates", treatment = "T Theoretical or Mathematical", } @Article{Kansy:1973:EFA, author = "Klaus Kansy", title = "{Elementare Fehlerdarstellung f{\"u}r Ableitungen bei der Hermite-Interpolation}. ({German}) [{Elementary error representation for derivatives by {Hermite} interpolation}]", journal = j-NUM-MATH, volume = "21", number = "4", pages = "350--354", month = aug, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Gesellschaft Math., Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "derivatives; elementary error representation; error analysis; Hermite interpolation; interpolation; pointwise", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Goodman:1973:RER, author = "Richard Goodman and Alan Feldstein", title = "Round-off error for retarded ordinary differential equations: a priori bounds and estimates", journal = j-NUM-MATH, volume = "21", number = "5", pages = "355--372", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Univ. Miami, FL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounds; differential equations; error analysis; estimates; retarded ordinary differential equations; round off error", treatment = "T Theoretical or Mathematical", } @Article{Shimasaki:1973:NSI, author = "Masaaki Shimasaki and Takeshi Kiyono", title = "Numerical solution of integral equations in {Chebyshev} series", journal = j-NUM-MATH, volume = "21", number = "5", pages = "373--380", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Kyoto Univ., Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; Chebyshev series; integral equations; iterative methods; Newton iterations; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Daniel:1973:NMN, author = "James W. Daniel", title = "{Newton}'s method for nonlinear inequalities", journal = j-NUM-MATH, volume = "21", number = "5", pages = "381--387", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; iterative methods; Newton's method; nonlinear inequalities; quadratic convergence", treatment = "T Theoretical or Mathematical", } @Article{Beavers:1973:CME, author = "A. N. {Beavers, Jr.} and E. D. Denman", title = "A Computational Method for Eigenvalues and Eigenvectors of a Matrix with Real Eigenvalues", journal = j-NUM-MATH, volume = "21", number = "5", pages = "389--396", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Houston, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational method; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; matrix algebra; matrix with real eigenvalues; sign; square matrix", treatment = "T Theoretical or Mathematical", } @Article{Brass:1973:FQC, author = "Helmut Bra{\ss}", title = "{Eine Fehlerabsch{\"a}tzung zum Quadratureverfahren von Clenshaw und Curtis}. ({German}) [{An error estimation of the quadrature method of {Clenshaw} and {Curtis}}]", journal = j-NUM-MATH, volume = "21", number = "5", pages = "397--403", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Tech. Univ. Clausthal, Zellerfeld, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Clenshaw Curtis method; error analysis; error estimation; integration; quadrature method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1973:CAE, author = "Walter Gautschi", title = "On the condition of algebraic equations", journal = j-NUM-MATH, volume = "21", number = "5", pages = "405--424", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Purdue Univ., Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic equations; condition; linear algebra; polynomial; polynomials; roots; sensitivity", treatment = "T Theoretical or Mathematical", } @Article{Elsner:1973:RSI, author = "Ludwig Elsner", title = "A remark on simultaneous inclusions of the zeros of a polynomial by {Gershgorin}'s theorem", journal = j-NUM-MATH, volume = "21", number = "5", pages = "425--427", month = oct, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Erlangen-N{\"u}rnberg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error bounds; Gershgorin's theorem; poles and zeros; polynomial; polynomials; simultaneous inclusions; zeros", treatment = "T Theoretical or Mathematical", } @Article{Rodrigue:1973:GMM, author = "Garry Rodrigue", title = "A gradient method for the matrix eigenvalue problem {$A x = \lambda B x$}", journal = j-NUM-MATH, volume = "22", number = "1", pages = "1--16", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; functional; gradient method; matrix algebra; matrix eigenvalue problem; minimization", treatment = "T Theoretical or Mathematical", } @Article{Atkinson:1973:IVN, author = "Kendall Atkinson", title = "Iterative variants of the {Nystr{\"o}m} method for the numerical solution of integral equations", journal = j-NUM-MATH, volume = "22", number = "1", pages = "17--31", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Univ. Iowa, IA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integral equations; iterative methods; iterative variants; numerical solution; Nystr{\"o}m method", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1973:SIF, author = "G. W. Stewart", title = "Some iterations for factoring a polynomial. {II}: a generalization of the secant method", journal = j-NUM-MATH, volume = "22", number = "1", pages = "33--36", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schroder:1973:RDB, author = "Johann Schr{\"o}der and Ulrich Trottenberg", title = "{Reduktionsverfahren f{\"u}r DIfferenzengleichungen bie Randwertaufgaben. I}. ({German}) [{Reduction method for difference equations for boundary value problems. {I}}]", journal = j-NUM-MATH, volume = "22", number = "1", pages = "37--68", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:13:26 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Koln, Weyertal, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; difference equations; discrete Dirichlet problem; numerical methods; numerically stable; Poisson's equation; reduction method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kreisselmeier:1973:AZI, author = "Gerhard Kreisselmeier and Dietrich Suschowk", title = "{Ein Algorithmus zur zyklisch invarianten Zerlegung eines endlich-dimensionalen Vektorraums bez{\"u}glich einer linearen Selbstabbildung}. ({German}) [{An} Algorithm for the Cyclic Invariant Decompositions of a Finite-Dimensional Vector Space with Respect to Linear Endomorphism]", journal = j-NUM-MATH, volume = "22", number = "1", pages = "69--74", month = feb, year = "1973", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Micchelli:1974:AOA, author = "C. A. Micchelli and W. L. Miranker", title = "Asymptotically optimal approximation in fractional {Sobolev} spaces and the numerical solution of differential equations", journal = j-NUM-MATH, volume = "22", number = "2", pages = "75--87", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290P (Differential equations); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "IBM Corp., Yorktown Heights, NJ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotically optimal approximation; Cauchy problem; extremal problems; fractional Sobolev spaces; function approximation; generalized spline functions; linear differential equations; linear partial differential equations; numerical solution of differential equations; optimal finite difference methods; optimisation; partial differential equations; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Mansfield:1974:HOC, author = "Lois Mansfield", title = "Higher order compatible triangular finite elements", journal = j-NUM-MATH, volume = "22", number = "2", pages = "89--97", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Kansas, Lawrence, KS, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; function approximation; higher order compatible triangular finite elements; piecewise polynomial functions; piecewise rational functions; polynomials; triangulated polygon", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1974:GAT, author = "Jim {Douglas, Jr.} and Todd Dupont", title = "{Galerkin} approximations for the two point boundary problem using continuous, piecewise polynomial spaces", journal = j-NUM-MATH, volume = "22", number = "2", pages = "99--109", month = apr, year = "1974", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01436724", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Univ. Chicago, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; continuous piecewise polynomial spaces; function approximation; Galerkin approximations; polynomials; two point boundary problem", treatment = "T Theoretical or Mathematical", } @Article{Menke:1974:BNK, author = "Klaus Menke", title = "{Bestimmung von N{\"a}herungen f{\"u}r die konforme Abbildung mit Hilfe von station{\"a}ren Punksystemen}. ({German}) [{Determination of the best approximation for conformal mapping with help of stationary point system}]", journal = j-NUM-MATH, volume = "22", number = "2", pages = "111--117", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:23:20 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Dortmund, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "best approximation; closed analytic Jordan curve; conformal mapping; extremal points; function approximation; stationary point system", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Barrar:1974:AEM, author = "R. B. Barrar and Henry L. Loeb", title = "Analytic extended monosplines", journal = j-NUM-MATH, volume = "22", number = "2", pages = "119--125", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:53:36 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Oregon, Eugene, OR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic extended monosplines; extended varisolvence; function approximation; Karlin; moment problem; nonlinear approximation problems; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Geistbeck:1974:OFD, author = "F. Geistbeck and A. Sachs", title = "{Optimale Fehlerabsch{\"a}tzungen mit dualen Funktionalen bei semilinearen Randwertaufgaben gew{\"o}hnlicher Differentialgleichungen}. ({German}) [{Optimal error estimations with dual functionals for boundary value problems of ordinary semilinear differential equations}]", journal = j-NUM-MATH, volume = "22", number = "2", pages = "127--136", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solutions; boundary value problems; boundary-value problems; differential equations; dual functionals; error analysis; optimal error estimations; optimized; ordinary semilinear differential equations; polynomials; variational error bounds", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Brosowski:1974:VAG, author = "Bruno Brosowski and K.-H. Hoffmann", title = "{Eine Variationsungleichung und Anwendungen}. ({German}) [{A variational inequality and its application}]", journal = j-NUM-MATH, volume = "22", number = "2", pages = "137--147", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:24:54 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Univ. G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "best approximation; global conditions; minimisation; minimum; nondifferentiable function; optimization; variational inequality", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Natterer:1974:EML, author = "Frank Natterer and Bodo Werner", title = "{Eine Erweiterung des Maximumsprinzips f{\"u}r den Laplaceschen Operator}. ({German}) [{An extension of the maximum principle for the {Laplace} operator}]", journal = j-NUM-MATH, volume = "22", number = "2", pages = "149--155", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:26:39 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Univ. Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continuous functions; Dirichlet problem; Laplace operator; maximum principle; nonnegative functional; optimisation; piecewise continuous first and second derivatives", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Anderssen:1974:NDP, author = "R. S. Anderssen and P. Bloomfield", title = "Numerical differentiation procedures for non-exact data", journal = j-NUM-MATH, volume = "22", number = "3", pages = "157--182", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Australian Nat. Univ., Canberra, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differentiation; nonexact data; numerical differentiation; regression analysis; spectrum analysis", treatment = "T Theoretical or Mathematical", } @Article{Erisman:1974:MST, author = "A. M. Erisman and J. K. Reid", title = "Monitoring the Stability of the Triangular Factorization of a Sparse Matrix", journal = j-NUM-MATH, volume = "22", number = "3", pages = "183--186", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Boeing Computer Services Inc., Seattle, WA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accuracy; computational cost; Gaussian elimination; iterative refinement; linear algebra; lud; nla; numerical instability; pivoting; sparse; sparse matrix; sparsity pattern; stability; triangular factorization", treatment = "T Theoretical or Mathematical", } @Article{Knauff:1974:OAL, author = "W. Knauff and R. Kre{\ss}", title = "{Optimale Approximation linearer Funktionale auf periodischen Funktionen}. ({German}) [{Optimal approximation of linear functionals on periodic functions}]", journal = j-NUM-MATH, volume = "22", number = "3", pages = "187--205", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 12:18:18 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lehrstuhle Numerische Angewandte Mathematik, G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounded linear functionals; conjugate harmonic functions; Davis' method; equidistant nodes; error norms; function approximation; Hardy spaces; Hilbert space; linear functionals; numerical approximation; numerical integration; optimal approximation; optimal rules; periodic functions; Sobolev spaces; total orthonormal system; weights", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Chawla:1974:ORP, author = "M. M. Chawla and Veena Kaul", title = "Optimal rules with polynomial precision for {Hilbert} spaces possessing reproducing kernel functions", journal = j-NUM-MATH, volume = "22", number = "3", pages = "207--218", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Indian Inst. Technol, Hauz Khas, New Delhi, India", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation; functions analytic in a circle; Hilbert spaces; interpolatory; numerical integration; optimal rules; periodic analytic functions; polynomial precision; polynomials; preassigned abscissas; reproducing kernel functions; weights", treatment = "T Theoretical or Mathematical", } @Article{Braess:1974:RIN, author = "Dietrich Braess", title = "{Rationale Interpolation, Normalit{\"a}t und Monosplines}. ({German}) [{Rational interpolation, normality and monosplines}]", journal = j-NUM-MATH, volume = "22", number = "3", pages = "219--232", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 12:19:32 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Ruhr. Univ., Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error; interpolation; monosplines; normality; rational interpolation; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Richert:1974:FET, author = "Walter R. Richert", title = "{Zur Fehlerabsch{\"a}tzung f{\"u}r Eigenwertaufgaben vom Typ {$(\lambda^2 I - \lambda A - B) x = 0$}}. ({German}) [{Error bounds construction for eigenvalue distances of the problem {$(\lambda^2 I - \lambda A - B) x = 0$}}]", journal = j-NUM-MATH, volume = "22", number = "3", pages = "233--239", month = jun, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 12:21:13 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Ludwig-Maximiliano Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalue distances; eigenvalues and eigenfunctions; error analysis; error bounds construction; linear algebra; separable Hilbert space", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kammerer:1974:QIS, author = "W. J. Kammerer and G. W. Reddien and R. S. Varga", title = "Quadratic Interpolatory Splines", journal = j-NUM-MATH, volume = "22", number = "4", pages = "241--259", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Graphics/imager/imager.75.bib; Graphics/siggraph/pre75.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Georgia Inst. Technol., Atlanta, GA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; error bounds; interpolation; numerical solution; projectional properties; quadratic interpolatory splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Makela:1974:CCC, author = "Matti M{\"a}kel{\"a} and Olavi Nevanlinna and Aarne H. Sipil{\"a}", title = "On the concepts of convergence, consistency, and stability in connection with some numerical methods", journal = j-NUM-MATH, volume = "22", number = "4", pages = "261--274", month = aug, year = "1974", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01406967", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Helsinki Univ., Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic theory; boundary-value problems; consistency; convergence; convergence of numerical methods; differential equations; discretization methods; initial value problems; numerical methods; ordinary differential equations; stability; weakly nonlinear methods", treatment = "T Theoretical or Mathematical", } @Article{Richert:1974:HEP, author = "Walter R. Richert", title = "On the handling of eigenvalue problems with the parameter of nonlinear form", journal = j-NUM-MATH, volume = "22", number = "4", pages = "275--287", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Ludwig Maximilians Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalue problems; eigenvalues and eigenfunctions; function approximation; Hilbert space; quadratic form", treatment = "T Theoretical or Mathematical", } @Article{Deuflhard:1974:MNM, author = "P. Deuflhard", title = "A modified {Newton} method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting", journal = j-NUM-MATH, volume = "22", number = "4", pages = "289--315", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:53:47 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Mathematisches Inst., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; ill conditioned systems of nonlinear equations; iteration; iterative methods; modified Newton method; multiple shooting; nearly singular Jacobian; nonlinear equations; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Chawla:1974:NEI, author = "M. M. Chawla and T. R. Ramakrishnan", title = "Numerical evaluation of integrals of periodic functions with {Cauchy} and {Poisson} type kernels", journal = j-NUM-MATH, volume = "22", number = "4", pages = "317--323", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Indian Inst. Technol., New Delhi, India", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy type kernels; functions; integration; numerical evaluation of integrals; numerical methods; periodic functions; Poisson type kernels", treatment = "T Theoretical or Mathematical", } @Article{Jennings:1974:DEA, author = "L. S. Jennings and M. R. Osborne", title = "A Direct Error Analysis for Least Squares", journal = j-NUM-MATH, volume = "22", number = "4", pages = "325--332", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in {\AA ke Bj\"orck}'s bibliography on least squares, which is available by anonymous ftp from {\tt math.liu.se} in {\tt pub/references}.", classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "column pivoting; direct error analysis; error analysis; least squares approximations; least squares solution; lsq; matrix algebra; nla; orthogonal factorization methods; overdetermined system of linear equations; rounding error", treatment = "T Theoretical or Mathematical", } @Article{Kall:1974:ASP, author = "Peter Kall", title = "Approximations to stochastic programs with complete fixed recourse", journal = j-NUM-MATH, volume = "22", number = "4", pages = "333--339", month = aug, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Univ. Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximations; complete fixed recourse; convergence; error bounds; finite discrete distributions; function approximation; mathematical programming; optimal values; probability; probability distribution; stochastic programs", treatment = "T Theoretical or Mathematical", } @Article{Kung:1974:CRP, author = "H. T. Kung", title = "On computing reciprocals of power series", journal = j-NUM-MATH, volume = "22", number = "5", pages = "341--348", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Tanabe:1974:CLS, author = "Kunio Tanabe", title = "Characterization of linear stationary iterative processes for solving a singular system of linear equations", journal = j-NUM-MATH, volume = "22", number = "5", pages = "349--359", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 09:48:04 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rissanen:1974:SLE, author = "Jorma Rissanen", title = "Solution of linear equations with {Hankel} and {Toeplitz} matrices", journal = j-NUM-MATH, volume = "22", number = "5", pages = "361--366", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 10:13:52 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Abrahamsson:1974:DAS, author = "L. R. Abrahamsson and H. B. Keller and H. O. Kreiss", title = "Difference approximations for singular perturbations of systems of ordinary differential equations", journal = j-NUM-MATH, volume = "22", number = "5", pages = "367--391", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. Computer Sci., Uppsala, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; difference approximations; differential equations; ordinary differential equations; singular perturbations; uniform stepsize", treatment = "T Theoretical or Mathematical", } @Article{Astor:1974:DS, author = "P. H. Astor and C. S. Duris", title = "Discrete {$L$}-splines", journal = j-NUM-MATH, volume = "22", number = "5", pages = "393--402", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Drexel Univ., Philadelphia, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "best approximation; continuous L splines; discrete functions; discrete L splines; interpolation; interpolatory splines; linear difference operator; minimum norm property; splines (mathematics); summation relations", treatment = "T Theoretical or Mathematical", } @Article{Chan:1974:MOM, author = "Paula P. Chan", title = "A monotone operator method for the solution of {Fredholm} integral equations", journal = j-NUM-MATH, volume = "22", number = "5", pages = "403--408", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Cleveland State Univ., OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Fredholm integral equations; integral equations; monotone operator", treatment = "T Theoretical or Mathematical", } @Article{Hettich:1974:KZO, author = "R. Hettich", title = "{Kriterien zweiter Ordnung f{\"u}r lokal beste Approximationen}. ({German}) [{Second-order conditions for locally best approximations}]", journal = j-NUM-MATH, volume = "22", pages = "409--417", month = oct, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:52:23 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Wimp:1974:TAL, author = "J. Wimp", title = "{Toeplitz} arrays, linear sequence transformations and orthogonal polynomials", journal = j-NUM-MATH, volume = "23", number = "1", pages = "1--17", month = feb, year = "1974", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01409986", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Drexel Univ., Philadelphia, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bessel polynomials; convergence; infinite array of complex numbers; Legendre polynomials; linear sequence transformations; orthogonal polynomials; polynomials; series (mathematics); Toeplitz arrays; transforms", treatment = "T Theoretical or Mathematical", } @Article{Pecka:1974:EWQ, author = "F. Pecka", title = "On equally weighted quadratures", journal = j-NUM-MATH, volume = "23", number = "1", pages = "19--22", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "J. E. Purkyne Univ., Brno, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; Chebyshev quadratures; equally weighted quadratures; integration; interpolation; interpolatory quadratures; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Voigt:1974:LMA, author = "A. Voigt", title = "Line method approximations to the {Cauchy} problem for nonlinear parabolic differential equations", journal = j-NUM-MATH, volume = "23", number = "1", pages = "23--36", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Karlsruhe, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy problem; convergence; existence; heat equation; line method approximations; longitudinal method of lines; monotonicity; nonlinear differential equations; nonlinear parabolic differential equations; partial differential equations; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Mock:1974:SNT, author = "M. S. Mock", title = "Solution of a nonlinear two point boundary value problem", journal = j-NUM-MATH, volume = "23", number = "1", pages = "37--46", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Computing Centre, New York, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; discrete equations; finite element analysis; finite element approximation; nonlinear differential equations; nonlinear two point boundary value problem; partial differential equations; singular second order nonlinear two point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Demoulin:1974:IMS, author = "Yves-Marie J. Demoulin and Y. M. Chen", title = "An iteration method for studying the bifurcation of solutions of the nonlinear equations, {$L(\lambda)u+ \epsilon R( \lambda,u)=0$}", journal = j-NUM-MATH, volume = "23", number = "1", pages = "47--61", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290K (Nonlinear and functional equations); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "State Univ. New York, Stony Brook, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bifurcation; eigenvalues and eigenfunctions; iterative method; iterative methods; linear constrain; multiple eigenvalues; nonlinear equation; nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{LaPorte:1974:ESE, author = "M. {La Porte} and J. Vignes", title = "{\'E}tude Statistique des Erreurs Dans l'Arithm{\'e}tique des Ordinateurs; Application au Contr{\^o}le des {R}{\'e}sultats d'Algorithmes Num{\'e}riques. ({French}) [{Statistical} Study of Errors in Computer Arithmetic: Application to the Control of the Results of Numerical Algorithms]", journal = j-NUM-MATH, volume = "23", number = "1", pages = "63--72", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra); C5230 (Digital arithmetic methods)", corpsource = "Inst. Fran{\c{c}}ais P{\'e}trole, Rueil-Malmaison, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic equations; approximation; digital arithmetic; digital computer; error analysis; linear algebra; linear systems; matrix algebra; matrix inversion; na; numerical calculations; numerical error; numerical methods; rounding error; significant digits; statistical evaluation; stochastic analysis; validity", language = "French", treatment = "T Theoretical or Mathematical", } @Article{LaPorte:1974:MND, author = "M. {La Porte} and J. Vignes", title = "{M{\'e}thode} Num{\'e}rique de {D}{\'e}tection de la Singularit{\'e} d'Une Matrice. ({French}) [{Numerical} method of detection of matrix singularity]", journal = j-NUM-MATH, volume = "23", number = "1", pages = "73--81", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. Fran{\c{c}}ais P{\'e}trole, Rueil-Malmaison, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "degree of conditioning; finite precision; matrix algebra; matrix singularity; nla; numerical method; pert; rank determination; well conditioned", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Morel:1974:PIV, author = "Paul Morel", title = "Sur le probl{\`e}me inverse des valeurs propres. ({French}) [{On} the Inverse Eigenvalue Problem]", journal = j-NUM-MATH, volume = "23", number = "1", pages = "83--94", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Herz:1974:ZTA, author = "B. Herz", title = "{Zerfallende Tridiagonalematrizen und aneinandergesetzte Sturmsche Ketten}. ({German}) [{Decomposable tridiagonal matrices and contiguous {Sturm} sequences}]", journal = j-NUM-MATH, volume = "23", number = "1", pages = "95--98", month = feb, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 12:22:46 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Tech. Univ. Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic correct algorithm; bisection method; decomposable matrices; eigenvalues; eigenvalues and eigenfunctions; matrix algebra; symmetric tridiagonal matrix", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Nicolaides:1974:GAS, author = "R. A. Nicolaides", title = "On a Geometrical Aspect of {SOR} and the Theory of Consistent Ordering for Positive Definite Matrices", journal = j-NUM-MATH, volume = "23", number = "2", pages = "99--104", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "California Inst. Technol., Pasadena, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "consistent ordering; geometrical aspect; iterative methods; linear algebra; nla; positive definite matrices; positive definite matrix; relaxation; similarity transformation; SOR; successive overrelaxation operator", treatment = "T Theoretical or Mathematical", } @Article{Barrar:1974:EOI, author = "R. B. Barrar and Henry L. Loeb and Helmut Werner", title = "On the existence of optimal integration formulas for analytic functions", journal = j-NUM-MATH, volume = "23", number = "2", pages = "105--117", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Oregon, Eugene, OR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic functions; existence; Hilbert space; integration; optimal integration formulas", treatment = "T Theoretical or Mathematical", } @Article{Russell:1974:CSB, author = "Robert D. Russell", title = "Collocation for systems of boundary value problems", journal = j-NUM-MATH, volume = "23", number = "2", pages = "119--133", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Simon Fraser Univ., Burnaby, BC, Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; collocation; first order differential equations subject; multipoint linear constraints; nonlinear differential equations; nonlinear system; piecewise polynomial functions; polynomials; Richardson's extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Schwarz:1974:MCO, author = "H. R. Schwarz", title = "The method of coordinate overrelaxation for {$(A- \lambda B)x=0$}", journal = j-NUM-MATH, volume = "23", number = "2", pages = "135--151", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic convergence; coordinate overrelaxation; eigenvalues and eigenfunctions; eigenvector; general eigenvalue problem; iteration matrix; iterative methods; matrix algebra; smallest eigenvalue; spline functions; successive overrelaxation method; vibrating string", treatment = "T Theoretical or Mathematical", } @Article{King:1974:NEB, author = "J. T. King", title = "New error bounds for the penalty method and extrapolation", journal = j-NUM-MATH, volume = "23", number = "2", pages = "153--165", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Univ. Cincinnati, OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Babu{\v{s}}ka penalty method; boundary weight; cubic spline approximants; error analysis; error bounds; extrapolation; function approximation; penalty method; quasioptimal approximate solution; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Gekeler:1974:CND, author = "E. Gekeler", title = "On the convergence of the {von Neumann} difference approximation to hyperbolic initial boundary value problems", journal = j-NUM-MATH, volume = "23", number = "2", pages = "167--174", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Stuttgart, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence; convergence of numerical methods; eigenvalue expansion; generalised wave equation; hyperbolic initial boundary value problems; implicit finite difference approximation; partial differential equations; uniform convergent; von Neumann difference approximation", treatment = "T Theoretical or Mathematical", } @Article{Kedem:1974:TGL, author = "Gershon Kedem and S. K. Zaremba", title = "A table of good lattice points in three dimensions", journal = j-NUM-MATH, volume = "23", number = "2", pages = "175--180", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "good lattice points; integration; numerical computation; table; three dimensional lattice points; three dimensions; triple integrals", treatment = "T Theoretical or Mathematical", } @Article{Schuller:1974:OCC, author = "G{\"u}nther Schuller", title = "On the order of convergence of certain {quasi-Newton} methods", journal = j-NUM-MATH, volume = "23", number = "2", pages = "181--192", month = apr, year = "1974", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Univ. Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; function minimisations; minimisation; order of convergence; quasi Newton methods", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1975:SPF, author = "Jim {Douglas, Jr.} and Todd Dupont and Lars Wahlbin", title = "The stability in {$L^q$} of the {$L^2$}-projection into finite element function spaces", journal = j-NUM-MATH, volume = "23", number = "3", pages = "193--197", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; finite element function spaces; function approximation; quasioptimal approximation; stability", treatment = "T Theoretical or Mathematical", } @Article{deHoog:1975:IRM, author = "F. de Hoog and R. Weiss", title = "Implicit {Runge--Kutta} methods for second kind {Volterra} integral equations", journal = j-NUM-MATH, volume = "23", number = "3", pages = "199--213", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Univ. California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A stable; convergent; implicit Runge/Kutta methods; integral equations; interpolatory quadrature formulae; numerically stable; quadrature formulae; Runge--Kutta methods; second kind Volterra integral equations; stiffly A stable", treatment = "T Theoretical or Mathematical", } @Article{Chatelin:1975:MRR, author = "F. Chatelin and M. J. Lemordant", title = "La m{\'e}thode de {Rayleigh--Ritz} appliqu{\'e}e {\`a} des op{\'e}rateurs diff{\'e}rentielles elliptiques --- ordres de convergence des {\'e}l{\'e}ments propres. ({French}) [{The Rayleigh--Ritz} method applied to elliptic differential operators --- orders of convergence of proper elements]", journal = j-NUM-MATH, volume = "23", number = "3", pages = "215--222", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. Recherches and Mathematiques Avanc{\'e}es, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic equalities; compact selfadjoint operator; convergence; convergence of numerical methods; eigen elements; eigenvalues and eigenfunctions; elliptic differential operators; function approximation; Rayleigh/Ritz method; self adjoint elliptic differential operators", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Sanchez:1975:ISB, author = "David A. S{\'a}nchez", title = "An iteration scheme for boundary value\slash alternative problems", journal = j-NUM-MATH, volume = "23", number = "3", pages = "223--230", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Univ. California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "auxiliary equation; bifurcation equation; boundary value/alternative problems; boundary-value problems; convergence; iteration scheme; iterative methods; nonlinear boundary value problems; nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{Thomas:1975:ASO, author = "K. S. Thomas", title = "On the approximate solution of operator equations", journal = j-NUM-MATH, volume = "23", number = "3", pages = "231--239", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Oxford, Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; discretisation methods; error analysis; error estimates; function approximation; linear operator equations; operator equations; prolongations; restrictions", treatment = "T Theoretical or Mathematical", } @Article{vanderSluis:1975:SSL, author = "A. van der Sluis", title = "Stability of the Solutions of Linear Least Squares Problems", journal = j-NUM-MATH, volume = "23", number = "3", pages = "241--254", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Rijksuniv, Utrecht-Uithof, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; errors; geometrical explanation; least squares approximations; linear least squares problems; orthogonal transformations; stability; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Vitek:1975:BCP, author = "Yehoshua Vitek", title = "A bound connected with primitive matrices", journal = j-NUM-MATH, volume = "23", number = "3", pages = "255--260", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Technion-Israel Inst. Technol., Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bound; matrix algebra; primitive matrices", treatment = "T Theoretical or Mathematical", } @Article{Pereyra:1975:MSD, author = "V. Pereyra and E. G. Sewell", title = "Mesh selection for discrete solution of boundary problems in ordinary differential equations", journal = j-NUM-MATH, volume = "23", number = "3", pages = "261--268", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Depto. Computacion, Caracas, Venezuela", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary problems; boundary-value problems; differential equations; discrete solution; equidistributing meshes; error estimates; finite difference approximations; local truncation error; mesh selection; nonuniform meshes; ordinary differential equations", treatment = "T Theoretical or Mathematical", } @Article{Fairweather:1975:EGM, author = "G. Fairweather and J. P. Johnson", title = "On the extrapolation of {Galerkin} methods for parabolic problems", journal = j-NUM-MATH, volume = "23", number = "3", pages = "269--287", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Kentucky, Lexington, KY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; extrapolation; Galerkin methods; initial boundary value problems; parabolic problems; partial differential equations; Richardson extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Wahlbin:1975:EEG, author = "Lars Wahlbin", title = "Error estimates for a {Galerkin} method for a class of model equations for long waves", journal = j-NUM-MATH, volume = "23", number = "4", pages = "289--303", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; error analysis; error estimates; Gelerkin method; long waves; model equations; partial differential equations; periodic initial value problem; piecewise polynomial spaces; second order time discretization; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Schiop:1975:SRP, author = "Alexandru I. {\c{S}}chiop", title = "On the stability of the {Ritz} procedure for nonlinear problems", journal = j-NUM-MATH, volume = "23", number = "4", pages = "305--310", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Roumanian Acad. Sci., Bucharest, Romania", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Hilbert space; linear positive definite operator; monotone nonlinear operator; nonlinear equation; nonlinear equations; numerical methods; Ritz procedure; stability", treatment = "T Theoretical or Mathematical", } @Article{Elliott:1975:CQR, author = "David Elliott and D. F. Paget", title = "On the convergence of a quadrature rule for evaluating certain {Cauchy} principal value integrals", journal = j-NUM-MATH, volume = "23", number = "4", pages = "311--319", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. Tasmania, Hobart, Tas., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate evaluation; Cauchy principle value integrals; convergence; convergence of numerical methods; function approximation; Holder condition; integration; quadrature rule", treatment = "T Theoretical or Mathematical", } @Article{Reimer:1975:ESP, author = "Manfred Reimer", title = "{Auswertungsverfahren f{\"u}r Polynome in mehreren Variablen}. ({German}) [{Evaluation schemes for polynomials in more than one variable}]", journal = j-NUM-MATH, volume = "23", number = "4", pages = "321--336", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri May 30 07:29:32 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Dortmund, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Clenshaw's method; error bounds; evaluation schemes; function approximation; Horner's scheme; multivariable polynomials; polynomials; stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1975:NEI, author = "Walter Gautschi", title = "Norm Estimates for Inverses of {Vandermonde} Matrices", journal = j-NUM-MATH, volume = "23", number = "4", pages = "337--347", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Purdue Univ., La Fayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic estimates; inverses; matrix algebra; norm estimates; scaling; Vandermonde matrices", treatment = "T Theoretical or Mathematical", } @Article{Lafon:1975:BTM, author = "Jean-Claude Lafon", title = "Base tensorielle de matrices de {Hankel} (ou de {Toeplitz}): Applications. ({French}) [{Tensorial} bases of {Hankel} (or {Toeplitz}) matrices Applications]", journal = j-NUM-MATH, volume = "23", number = "4", pages = "349--361", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Univ. Sci. and M{\'e}dicale, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Hankel matrices; lower triangular Toeplitz matrix; matrix algebra; polynomial product; tensorial bases; Toeplitz matrices", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1975:FCA, author = "C. Brezinski", title = "Forme confluente de l'$\varepsilon$-algorithme topologique. ({French}) [{Confluent} form of the topological $\varepsilon$-algorithm]", journal = j-NUM-MATH, volume = "23", number = "4", pages = "363--370", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "UER IEEA., Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "confluent form; convergence; convergence of numerical methods; matrix algebra; topological epsilon algorithm; topological vector space; topology", language = "French", treatment = "T Theoretical or Mathematical", } @Article{McCormick:1975:IPS, author = "Steve F. McCormick", title = "An iterative procedure for the solution of constrained nonlinear equations with application to optimization problems", journal = j-NUM-MATH, volume = "23", number = "5", pages = "371--385", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Colorado State Univ., Fort Collins, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constrained nonlinear equations; Hilbert spaces; iterative methods; iterative procedure; nonlinear equations; optimisation; optimization problems; solution", treatment = "T Theoretical or Mathematical", } @Article{Natterer:1975:DSR, author = "Frank Natterer", title = "{Das Differenzenverfahren f{\"u}r singul{\"a}re Rand-Eigenwertaufgaben gew{\"o}nlicher Differentialgleichungen}. ({German}) [{The difference method for singular boundary\slash eigenvalues of ordinary differential equations}]", journal = j-NUM-MATH, volume = "23", number = "5", pages = "387--409", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri May 30 07:36:21 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problem; boundary-value problems; convergence of numerical methods; convergence rates; difference equations; difference method; eigenvalues; eigenvalues and eigenfunctions; second order differential operators; singular; three point discretisation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Hald:1975:NTM, author = "Ole H. Hald", title = "On a {Newton-Moser} type method", journal = j-NUM-MATH, volume = "23", number = "5", pages = "411--426", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Univ. California, Berkeley, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arithmetic; error analysis; error bounds; iterative method; iterative methods; Moser; Newton; nonlinear equations; quadratically convergent; variant", treatment = "T Theoretical or Mathematical", } @Article{Pittnauer:1975:AAG, author = "E. Pittnauer", title = "{Eine Aussage {\"u}ber Alternanten}. ({German}) [{A proposition on alternants}]", journal = j-NUM-MATH, volume = "23", number = "5", pages = "427--432", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:05:36 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Ruhr-Univ. Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "alternants; error function; estimate; function approximation; maxima; minima; polynomial", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Schroder:1975:ULB, author = "Johan Schr{\"o}der", title = "Upper and lower bounds for solutions of generalized two-point boundary value problems", journal = j-NUM-MATH, volume = "23", number = "5", pages = "433--457", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; bounds; differential equations; generalized; integrodifferential equations; lower; solutions; two point; upper", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1975:OCV, author = "Walter Gautschi", title = "Optimally Conditioned {Vandermonde} Matrices", journal = j-NUM-MATH, volume = "24", number = "1", pages = "1--12", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290H (Linear algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Purdue Univ., W. Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "condition number; matrix algebra; minimisation; minimize; nonlinear constraints; nonlinear minimax problem; nonlinear programming; optimally conditioned Vandermonde matrices; symmetric point configurations", treatment = "T Theoretical or Mathematical", } @Article{Salkauskas:1975:WFC, author = "K. Salkauskas", title = "On weight functions for {Chebyshev} quadrature", journal = j-NUM-MATH, volume = "24", number = "1", pages = "13--18", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); B0290F (Interpolation and function approximation); C1130 (Integral transforms); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Statistics and Computing Sci., Univ. of Calgary, Alta., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; Chebyshev quadrature; integral transforms; moment sequences; probabilistic; transforms; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Greenberg:1975:ADR, author = "Harold Greenberg", title = "An algorithm for determining redundant inequalities and all solutions to convex polyhedra", journal = j-NUM-MATH, volume = "24", number = "1", pages = "19--26", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Statistics, Tel-Aviv Univ., Tel-Aviv, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convex polyhedra; function approximation; linear inequalities; polyhedral cone; redundant inequalities; unbounded polyhedra", treatment = "T Theoretical or Mathematical", } @Article{Omodei:1975:SRP, author = "B. J. Omodei and R. S. Anderssen", title = "Stability of the {Rayleigh--Ritz} procedure for nonlinear two-point boundary value problems", journal = j-NUM-MATH, volume = "24", number = "1", pages = "27--38", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "B-splines; boundary-value problems; bounded polyhedra; nonlinear two point boundary value problems; partial differential equations; Rayleigh Ritz procedure; stability; strongly minimal", treatment = "T Theoretical or Mathematical", } @Article{LaPorte:1975:EIS, author = "M. {La Porte} and J. Vignes", title = "Evaluation de l'incertitude sur la solution d'un syst\`eme lin{\'e}aire. ({French}) [{Evaluation} of the uncertainty in the solution of a linear system]", journal = j-NUM-MATH, volume = "24", number = "1", pages = "39--47", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Inst. Fran{\c{c}}ais du P{\'e}trole, Rueil Malmaison, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accuracy; error analysis; finite precision; linear algebra; linear algebraic systems; linear system; nla; numerical method; pert", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Deutsch:1975:MNL, author = "Emeric Deutsch", title = "On matrix norms and logarithmic norms", journal = j-NUM-MATH, volume = "24", number = "1", pages = "49--51", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Polytech. Inst. of New York, Brooklyn, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "ellipsoidal norms; infimums; logarithmic norms; matrix algebra; matrix norms; spectral abscissa; spectral radius", treatment = "T Theoretical or Mathematical", } @Article{Mock:1975:GPE, author = "M. S. Mock", title = "A global a posteriori error estimate for quasilinear elliptic problems", journal = j-NUM-MATH, volume = "24", number = "1", pages = "53--61", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary Reynolds number; error analysis; finite element analysis; finite element methods; Fourier series method; global a posteriori error estimate; partial differential equations; quasilinear elliptic problems; stationary Navier Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{Deutsch:1975:BGG, author = "E. Deutsch and C. Zenger", title = "On {Bauer}'s generalized {Gershgorin} discs", journal = j-NUM-MATH, volume = "24", number = "1", pages = "63--70", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Fachhochschule des Landes Kartause, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bauer's generalized Gershgorin discs; eigenvalue inclusion theorems; eigenvalues and eigenfunctions; matrices; matrix algebra; Perron Frobenius theory", treatment = "T Theoretical or Mathematical", } @Article{Yamamoto:1975:DEI, author = "Tetsuro Yamamoto", title = "On the distribution of errors in the iterative solution of a system of linear equations", journal = j-NUM-MATH, volume = "24", number = "1", pages = "71--79", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Ehime Univ., Matsuyama, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error distribution; iterative solution; linear equations; matrix algebra; Peradze's theorem; real matrix; real vector", treatment = "T Theoretical or Mathematical", } @Article{Henrich:1975:NES, author = "C. J. Henrich", title = "On the numerical evaluation of a sum involving binomial coefficients", journal = j-NUM-MATH, volume = "24", number = "1", pages = "81--83", month = feb, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Dept. of Math., Fordham Univ., Bronx, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "alternating signs; binomial coefficients; function evaluation; integral; logarithmic Weibull distribution; numerical evaluation of a sum", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1975:CMC, author = "G. W. Stewart", title = "The convergence of the method of conjugate gradients at isolated extreme points of the spectrum", journal = j-NUM-MATH, volume = "24", number = "2", pages = "85--93", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Carnegie-Mellon Univ., Computer Sci. Dept., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounds; convergence; convergence of numerical methods; eigenvalue; eigenvalues and eigenfunctions; error vectors; isolated extreme points; linear system; matrix algebra; method of conjugate gradients", treatment = "T Theoretical or Mathematical", } @Article{Nicolaides:1975:LCC, author = "R. A. Nicolaides", title = "On the local convergence of certain two step iterative procedures", journal = j-NUM-MATH, volume = "24", number = "2", pages = "95--101", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Imperial Coll. of Sci. and Technol., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; iterative methods; local convergence; second order Richardson algorithm; two step iterative procedures", treatment = "T Theoretical or Mathematical", } @Article{Brezzi:1975:MEF, author = "F. Brezzi", title = "Sur la m{\'e}thode des {\'e}l{\'e}ments finis hybrides pour le probl{\`e}me biharmonique. ({French}) [{On} Hybrid Finite Element Methods for the Biharmonic Problem]", journal = j-NUM-MATH, volume = "24", number = "2", pages = "103--131", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Davies:1975:GCH, author = "M. Davies and B. Dawson", title = "On the global convergence of {Halley}'s iteration formula", journal = j-NUM-MATH, volume = "24", number = "2", pages = "133--135", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Surrey, Guildford, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; function approximation; global convergence; Halley's iteration formula; iterative methods; Ostrowski's square root technique; point iterative process", treatment = "T Theoretical or Mathematical", } @Article{Hofmann:1975:MHA, author = "Wolf Hofmann", title = "{Monotonies{\"a}tze f{\"u}r hyperbolische Anfangswertaufgaben und Einschlie{\ss}ung von L{\"o}sungen}. ({German}) [{Monotonicity theorems for hyperbolic initial value problems and solution enclosure}]", journal = j-NUM-MATH, volume = "24", number = "2", pages = "137--149", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri May 30 07:44:49 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; hyperbolic differential operators; hyperbolic initial value problems; iteration methods; iterative methods; monotonicity properties; numerical examples; partial differential equations", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Lightbourne:1975:PSF, author = "J. H. {Lightbourne, III} and R. H. {Martin, Jr.}", title = "Projection seminorms and the field of values of linear operators", journal = j-NUM-MATH, volume = "24", number = "2", pages = "151--161", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebra; field of values; growth estimates; Hilbert space; linear operators; number theory; numerical range; projection seminorms", treatment = "T Theoretical or Mathematical", } @Article{Pinkus:1975:AMN, author = "Allan Pinkus", title = "Asymptotic minimum norm quadrature formulae", journal = j-NUM-MATH, volume = "24", number = "2", pages = "163--175", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Math. Sci. Dept. IBM, Yorktown Heights, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic limit; Hilbert spaces; minimum norm quadrature formulae; transforms", treatment = "T Theoretical or Mathematical", } @Article{Schneider:1975:VRR, author = "Claus Schneider", title = "{Vereinfachte Rekursionen zur Richardson-Extrapolation in Spezialf{\"a}llen}. ({German}) [{Simplified recursions for {Richardson} extrapolation in special cases}]", journal = j-NUM-MATH, volume = "24", number = "2", pages = "177--184", month = apr, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri May 30 07:46:26 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Fachbereich Math. der Johannes Gutenberg-Univ., Mainz, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic endpoint singularities; finite algorithm; generalized asymptotic expansions; integration; logarithmic endpoint singularities; numerical integration; numerical methods; recursions; recursive functions; Richardsons extrapolation; Romberg type quadrature", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Rose:1975:WAE, author = "Milton E. Rose", title = "Weak-element approximations to elliptic differential equations", journal = j-NUM-MATH, volume = "24", number = "3", pages = "185--204", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; elliptic differential equations; finite element analysis; finite element methods; local approximations; weak element approximations", treatment = "T Theoretical or Mathematical", } @Article{Kutt:1975:NEP, author = "H. R. Kutt", title = "The numerical evaluation of principal value integrals by finite-part integration", journal = j-NUM-MATH, volume = "24", number = "3", pages = "205--210", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Nat. Res. Inst. for Math. Sci., CSIR, Pretoria, South Africa", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational purposes; finite part integration; integration; numerical evaluation; principal value integrals; scalar products", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kiluchi:1975:FES, author = "Fumio Kiluchi", title = "On a finite element scheme based on the discrete {Kirchhoff} assumption", journal = j-NUM-MATH, volume = "24", number = "3", pages = "211--231", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0340 (Classical mechanics of continuous media: general mathematical aspects); A4620 (Continuum mechanics); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C7440 (Civil and mechanical engineering computing)", corpsource = "Inst. of Space and Aeronautical Sci., Univ. of Tokyo, Tokyo, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; bending; Dirichlet conditions; discrete Kirchhoff assumption; eigenvalue problems; error analysis; error estimates; finite element analysis; finite element scheme; mechanical engineering; numerical experiments; plate bending problems; triangular element", treatment = "T Theoretical or Mathematical", } @Article{Hornung:1975:EMN, author = "U. Hornung", title = "{Euler} method for neutral functional-differential equation", journal = j-NUM-MATH, volume = "24", number = "3", pages = "233--240", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Numerische und Instrumentelle Math., Westfalische Wilhelms-Univ., M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximating polygon; approximation theory; Euler method; initial value problem; Lipschitz continuous solution; neutral functional differential equation; nonlinear differential equations; polygonal methods", treatment = "T Theoretical or Mathematical", } @Article{Pruess:1975:HOA, author = "S. Pruess", title = "High order approximations to {Sturm--Liouville} eigenvalues", journal = j-NUM-MATH, volume = "24", number = "3", pages = "241--247", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of New Mexico, Albuquerque, NM, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; eigenvalues and eigenfunctions; error; high order approximations; local approximating polynomials; low order methods; Sturm Liouville eigenvalues", treatment = "T Theoretical or Mathematical", } @Article{Marcowitz:1975:FAS, author = "U. Marcowitz", title = "{Fehlerabsch{\"a}tzung bei Anfangswertaufgaben f{\"u}r Systeme von gew{\"o}nlichen Differentialgleichungen mit Anwendungen auf das REENTRY-Problem}. ({German}) [{Error estimation in initial value problems for systems of ordinary differential equations with an application to the {REENTRY} problem}]", journal = j-NUM-MATH, volume = "24", number = "3", pages = "249--275", month = jun, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:03:41 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. of Math., Univ. zu Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; arbitrary approximation; boundary-value problems; defect; differential equations; error analysis; error estimation; initial value problems; nonlinear differential inequalities; numerical realization; ordinary differential equations; RENTRY problem", language = "German", } @Article{Meyer:1975:SAS, author = "G. G. L. Meyer", title = "A systematic approach to the synthesis of algorithms", journal = j-NUM-MATH, volume = "24", number = "4", pages = "277--289", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory)", corpsource = "Dept. of Electrical Engng., Johns Hopkins Univ., Baltimore, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm synthesis; algorithm theory; Frank/Wolfe algorithm; iterative algorithms; transformations", treatment = "T Theoretical or Mathematical", } @Article{Hanson:1975:ANM, author = "Richard J. Hanson and James L. Phillips", title = "An adaptive numerical method for solving linear {Fredholm} integral equations of the first kind", journal = j-NUM-MATH, volume = "24", number = "4", pages = "291--307", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in {\AA ke Bj\"orck}'s bibliography on least squares, which is available by anonymous ftp from {\tt math.liu.se} in {\tt pub/references}.", classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Washington State Univ., Pullman, WA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive numerical method; integral equation; integral equations; iterative methods; linear Fredholm integral equations of the first kind; na; regularization; spline function; stabilized linear algebraic system", treatment = "T Theoretical or Mathematical", } @Article{Gunther:1975:ZQG, author = "Claus G{\"u}nther", title = "{Zweidimensionale Quadraturformeln von Grad 7 mit 14 Punkten}. ({German}) [{Two dimensional quadrature formulae of degree seven with fourteen common zeros}]", journal = j-NUM-MATH, volume = "24", number = "4", pages = "309--316", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:06:11 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Kernforshungszentrum Inst. Neutronenphys. und Reaklortech., Karlsruhe, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "degree seven; integration; orthogonal polynomials; quadrature formulae", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Voss:1975:PRN, author = "H. Voss", title = "{Projectionsverfahren f{\"u}r Randwertaufgaben mit nichtlinearen Randbedingungen}. ({German}) [{Projection methods for boundary value problems with nonlinear boundary conditions}]", journal = j-NUM-MATH, volume = "24", number = "4", pages = "317--329", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:07:31 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; convergence; differential equations; Frechet differentiable operator; Galerkin's method; nonlinear boundary conditions; projection methods; splines", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Busch:1975:EAM, author = "W. Busch and R. Esser and W. Hackbusch and U. Herrmann", title = "Extrapolation applied to the method of characteristics for a first order system of two partial differential equations. {I}. The initial value problem", journal = j-NUM-MATH, volume = "24", number = "4", pages = "331--353", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Tech. Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "ALGOL program; boundary value problems; boundary-value problems; Cauchy's initial value problem; discretization; Euler's method; first order system; hyperbolic systems; method of characteristics; midpoint rule; partial differential equations; step size extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Grigorieff:1975:DAEa, author = "Rolf Dieter Grigorieff", title = "{Diskrete Approximation von Eigenwertproblemen. I. Qualitative Konvergenz}. ({German}) [{Discrete approximation of the eigenvalue problem. {I}. Qualitative convergence}]", journal = j-NUM-MATH, volume = "24", number = "4", pages = "355--374", month = aug, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 21:45:50 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Tech. Univ. Berlin, Fachbereich Math., Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; discrete approximation; eigenvalue problem; eigenvalues and eigenfunctions; qualitative convergence", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Demmler:1975:OMS, author = "A. Demmler and C. Reinsch", title = "Oscillation matrices with spline smoothing", journal = j-NUM-MATH, volume = "24", number = "5", pages = "375--382", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022)", classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvectors; matrix algebra; sign distribution; spline smoothing; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Wahba:1975:SND, author = "Grace Wahba", title = "Smoothing noisy data with spline functions", journal = j-NUM-MATH, volume = "24", number = "5", pages = "383--393", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Statistics, Stanford Univ., Stanford, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "curve fitting; error analysis; minimum expected square error; noisy data; smoothing; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Tsuda:1975:NIF, author = "Takao Tsuda", title = "Nonlinear interpolation of functions of very many variables", journal = j-NUM-MATH, volume = "24", number = "5", pages = "395--414", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Electrical Engng., Hokkaido Univ., Sapporo, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; functions of very many variables; interpolation; nonlinear interpolation; pairwise sampling method; standard errors", treatment = "T Theoretical or Mathematical", } @Article{Grigorieff:1975:DAEb, author = "Rolf Dieter Grigorieff", title = "{Diskrete Approximation von Eigenwertproblemen. II. Konvergenzordnung}. ({German}) [{Discrete approximation of eigenvalue problems. {II}. Convergence order}]", journal = j-NUM-MATH, volume = "24", number = "5", pages = "415--433", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 21:45:53 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ. Berlin, Fachbereich Math., Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; discrete approximation; eigenvalue problems; eigenvalues and eigenfunctions; function approximation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Wesseling:1975:AEP, author = "P. Wesseling", title = "An asymptotic expansion for product integration applied to {Cauchy} principal value integrals", journal = j-NUM-MATH, volume = "24", number = "5", pages = "435--442", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Technische Hogeschool Twente, Onderafdeling Toegepaste Wiskunde, Enschede, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic expansion; Cauchy principal value integrals; error analysis; integral equations; integration; interpolation; piecewise Lagrangian interpolation; product integration; quadrature method; truncation error", treatment = "T Theoretical or Mathematical", } @Article{Schumacher:1975:IOS, author = "Konrad Schumacher", title = "{Iterative Optimierungsverfahren, die unter schwachen Voraussetzungen konvergien}. ({German}) [{Iterative optimisation, convergence under weak assumptions}]", journal = j-NUM-MATH, volume = "24", number = "5", pages = "443--456", month = oct, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290Z (Other numerical methods); C1180 (Optimisation techniques); C4190 (Other numerical methods)", corpsource = "Lehrstuhl Biomath., Univ. Tubingen, Tubingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "closed convex set; convergence; convergence of numerical methods; Hilbert space; iteration process; iterative methods; minimisation; minimization problems; nonlinear optimization theory; numerical approximation; optimisation; weak assumptions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Saff:1975:ZPP, author = "E. B. Saff and R. S. Varga", title = "On the zeros and poles of {Pad{\'e}} approximants to $e^z$", journal = j-NUM-MATH, volume = "25", number = "1", pages = "1--14", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Saff:1976:EZP}.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation; numerical methods; ordinary differential equations; Pad{\'e} approximants; poles; stability; zeros", } @Article{Forst:1975:OIQ, author = "Wilhelm Forst", title = "{Zur Optimalit{\"a}t interpolatorischer Quadraturformeln periodischer Funktionen}. ({German}) [{Optimal formulas of interpolatory type for the quadrature of periodic functions}]", journal = j-NUM-MATH, volume = "25", number = "1", pages = "15--21", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:10:49 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Fachbereich Math., Univ. Tubingen, Tubingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error norm; Favard classes; integration; interpolatory; optimal quadrature formula; periodic functions; quadrature; trapezoidal rule; uniform mesh", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Stenger:1975:CTD, author = "Frank Stenger", title = "Computing the topological degree of a mapping in {$R^n$}", journal = j-NUM-MATH, volume = "25", number = "1", pages = "23--38", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B0290R (Integral equations); C1160 (Combinatorial mathematics); C4180 (Integral equations)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continuous functions; mapping; n dimensional polyhedron; simplex; subsets; topological degree; topology", treatment = "T Theoretical or Mathematical", } @Article{Norsett:1975:PRA, author = "Syvert P. N{\o}rsett", title = "{$C$}-polynomials for rational approximation to the exponential function", journal = j-NUM-MATH, volume = "25", number = "1", pages = "39--56", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Numerisk Matematikk, Univ. of Trondheim, Trondheim, Norway", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A acceptability; C polynomials; exponential function; function approximation; polynomials; rational approximation", treatment = "T Theoretical or Mathematical", } @Article{Spence:1975:CNM, author = "Alastair Spence", title = "On the convergence of the {Nystr{\"o}m} method for the integral equation eigenvalue problem", journal = j-NUM-MATH, volume = "25", number = "1", pages = "57--66", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "School of Math., Univ. of Bath, Bath, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic eigenvalue; Banach space; compact operator; convergence; convergence of numerical methods; eigenvalue problem; eigenvalues and eigenfunctions; integral equation; integral equations; integral operator; Nystr{\"o}m method; quadrature formula", treatment = "T Theoretical or Mathematical", } @Article{Natterer:1975:PKF, author = "Frank Natterer", title = "{Uber die punktweise Konvergenz Finiter Elemente}. ({German}) [{On the pointwise convergence of finite elements}]", journal = j-NUM-MATH, volume = "25", number = "1", pages = "67--77", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:11:49 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Angewandte Math. und Informatik, Univ. des Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; convex polyhedral domain; Dirichlet problem; finite element analysis; finite element method; finite elements; pointwise convergence; Poissons equation; Sobolev spaces", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Grigorieff:1975:DAEc, author = "Rolf Dieter Grigorieff", title = "{Diskrete Approximation von Eigenwerteproblemen. III. Asymptotische Entwicklungen}. ({German}) [{Discrete approximation of eigenvalue-problems. {III}. Asymptotic expansions}]", journal = j-NUM-MATH, volume = "25", number = "1", pages = "79--97", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 21:45:54 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Math., Tech. Univ. Berlin, Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic expansions; discrete approximations; eigenvalue; eigenvalues and eigenfunctions; function approximation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Midy:1975:ICG, author = "P. Midy", title = "An improved calculation of the general elliptic integral of the second kind in the neighbourhood of $x = 0$", journal = j-NUM-MATH, volume = "25", number = "1", pages = "99--101", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Centre de Calcul Paris Sud Informatique, Univ. Paris XI, Orsay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "elliptic integral; integration; Landen transformation; second kind", treatment = "T Theoretical or Mathematical", } @Article{Linz:1975:CDM, author = "Peter Linz", title = "Convergence of a discretization method for integro-differential equations", journal = j-NUM-MATH, volume = "25", number = "1", pages = "103--107", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 16:12:48 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Univ. of California, Davis, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; consistency; convergence; convergence of numerical methods; integro differential equations; integro-differential equations; spatial discretisation", treatment = "T Theoretical or Mathematical", } @Article{Hettich:1975:KEZ, author = "R. Hettich", title = "{Kriterien erster und zweiter Ordnung f{\"u}r lokal beste Approximationen bei Problemen mit Nebenbedingungen}. ({German}) [{On first and second order conditions for locally best approximations for constraint problems}]", journal = j-NUM-MATH, volume = "25", number = "1", pages = "109--122", month = mar, year = "1975", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:45:49 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Tech. Hogeschool Twente, Enschede, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "compact subset; constraint problems; function approximation; locally best approximations; monotone; real valued function; restricted range approximation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1976:SIC, author = "G. W. Stewart", title = "Simultaneous iteration for computing invariant subspaces of {non-Hermitian} matrices", journal = j-NUM-MATH, volume = "25", number = "2", pages = "123--136", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence theory; dominant invariant subspaces; iterative methods; matrix algebra; nested sequence; non Hermitian matrices; orthonormal bases; simultaneous iteration technique", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1976:ESP, author = "G. W. Stewart", title = "The economical storage of plane rotations", journal = j-NUM-MATH, volume = "25", number = "2", pages = "137--138", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "compacted; economical storage; matrix algebra; matrix computations; plane rotations; single number", treatment = "T Theoretical or Mathematical", } @Article{Haegemans:1976:CCF, author = "Ann Haegemans and Robert Piessens", title = "Construction of cubature formulas of degree eleven for symmetric planar regions, using orthogonal polynomials", journal = j-NUM-MATH, volume = "25", number = "2", pages = "139--148", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Appl. Math. and Programming Div., Univ. of Leuven, Heverlee, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cubature formulas; degree eleven; integration; orthogonal polynomials; polynomial precision; symmetric planar regions", treatment = "T Theoretical or Mathematical", } @Article{Knauff:1976:OAN, author = "W. Knauff and R. Kre{\ss}", title = "{Optimale Approximation mit Nebenbedingungen an lineare Funktionale auf periodischen Funktionen}. ({German}) [{Optimal approximation with side conditions to linear functionals on periodic functions}]", journal = j-NUM-MATH, volume = "25", number = "2", pages = "149--152", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:13:51 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lehrstuhle f{\"u}r Numerische und Angewandte Math., G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounded linear functional; function approximation; general Hilbert space; linear functionals; periodic functions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Plemmons:1976:RSD, author = "R. J. Plemmons", title = "Regular Splittings and the Discrete {Neumann} Problem", journal = j-NUM-MATH, volume = "25", number = "2", pages = "153--161", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Computer Sci. Dept., Univ. of Tennessee, Knoxville, TN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximating; discrete Neumann problem; iteration; iterative methods; linear algebra; regular splittings; square linear system", treatment = "T Theoretical or Mathematical", } @Article{Thatcher:1976:UIG, author = "R. W. Thatcher", title = "The use of infinite grid refinements at singularities in the solution of {Laplace}'s equation", journal = j-NUM-MATH, volume = "25", number = "2", pages = "163--178", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Manchester Inst. of Sci. Technol., Manchester, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate; finite element analysis; infinite grid refinements; Laplace's equation; singularities; solution", treatment = "T Theoretical or Mathematical", } @Article{Veselic:1976:CJM, author = "K. Veseli{\'c}", title = "A convergent {Jacobi} method for solving the eigenproblem of arbitrary real matrices", journal = j-NUM-MATH, volume = "25", number = "2", pages = "179--184", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. Math., Univ. of Zagreb, Zagreb, Yugoslavia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary real matrices; convergent Jacobi method; eigenproblem; eigenvalues and eigenfunctions; global convergence proof; matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Moller:1976:KMK, author = "H. M. M{\"o}ller", title = "{Kubaturformeln mit minimaler Knotenzahl}. ({German}) [{Minimum-point cubature formulas}]", journal = j-NUM-MATH, volume = "25", number = "2", pages = "185--200", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:14:56 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Abt. Math., Univ. Dortmund, Dortmund-Hombruch, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cubature formula; integration; minimal number of nodes", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kupper:1976:EGD, author = "Tassilo K{\"u}pper", title = "{Einschlie{\ss}ungsenaussagen f{\"u}r gew{\"o}nliche Differentialoperatoren}. ({German}) [{Range-domain implications for ordinary differential operators}]", journal = j-NUM-MATH, volume = "25", number = "2", pages = "201--214", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:16:07 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differentiation; ordinary differential operators; range domain implications", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Barnhill:1976:SKT, author = "Robert E. Barnhill and John A. Gregory", title = "{Sard} kernel theorems on triangular domains with application to finite element error bounds", journal = j-NUM-MATH, volume = "25", number = "3", pages = "215--229", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Dept., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error bounds; finite element; finite element analysis; interpolation; interpolation remainders; kernel theorems; triangular domains", treatment = "T Theoretical or Mathematical", } @Article{Sloan:1976:EAC, author = "Ian H. Sloan", title = "Error analysis for a class of degenerate-kernel methods", journal = j-NUM-MATH, volume = "25", number = "3", pages = "231--238", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math., Univ. of New South Wales, Kensington, NSW, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational requirements; convergence of numerical methods; degenerate kernel methods; error analysis; Fredholm integral equations; integral equations; numerical solution; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Jetter:1976:OQS, author = "Kurt Jetter", title = "{Optimale Quadraturformeln mit semidefiniten Peano-Kernen}. ({German}) [{Optimal integration formulas with semidefinite Peano-kernels}]", journal = j-NUM-MATH, volume = "25", number = "3", pages = "239--249", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:16:57 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "FB Math., Univ. Tubingen, Tubingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integration; numerical integration formulas; optimal constants; Peano kernel; remainder; semidefinite", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Barrar:1976:MZA, author = "R. B. Barrar and Henry L. Loeb", title = "Multiple zeros and applications to optimal linear functionals", journal = j-NUM-MATH, volume = "25", number = "3", pages = "251--262", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Oregon, Eugene, OR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; free knots; multiple zeros; optimal linear functionals; poles and zeros", treatment = "T Theoretical or Mathematical", } @Article{Nitsche:1976:ERB, author = "J. A. Nitsche", title = "{Der Einflu{\ss} von Randsingularit{\"a}ten beim Ritzschen Verfahren}. ({German}) [{Solution effects of the {Ritz} method}]", journal = j-NUM-MATH, volume = "25", number = "3", pages = "263--278", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 21:51:26 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Freiburg, Freiburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; homogeneous differential equation; Ritz method; singular boundary point; spline subspaces; Sturm Liouville problem", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Ptak:1976:RCN, author = "Vlastimil Pt{\'a}k", title = "The rate of convergence of {Newton}'s process", journal = j-NUM-MATH, volume = "25", number = "3", pages = "279--285", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. of Math., Czechoslovak Acad. of Sci., Praha, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; iterative methods; method of nondiscrete mathematical induction; Newton's process; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Elliott:1976:CQR, author = "David Elliott and D. F. Paget", title = "On the convergence of a quadrature rule for evaluating certain {Cauchy} principal value integrals: an addendum", journal = j-NUM-MATH, volume = "25", number = "3", pages = "287--289", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Univ. of Tasmania, Hobart, Tas., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy principal value integrals; convergence; convergence of numerical methods; integration; quadrature rule", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1976:KSR, author = "G. Alefeld and R. S. Varga", title = "{Zur Konvergenz des symmetrischen Relaxationsverfahren}. ({German}) [{On the convergence of the symmetric {SOR} method}]", journal = j-NUM-MATH, volume = "25", number = "3", pages = "291--295", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:54:53 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. of Karlsruhe, Karlsruhe, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; iterative methods; iterative solution; matrix algebra; matrix equation; symmetric SOR method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Trottenberg:1976:LLG, author = "Ulrich Trottenberg", title = "{L{\"o}sung linearer gew{\"o}nlicher Randwertaufgaben 4. Ordnung mit Hilfe von Aufspaltungen}. ({German}) [{Solving linear ordinary boundary value problems of the fourth order by means of splittings}]", journal = j-NUM-MATH, volume = "25", number = "3", pages = "297--306", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:18:28 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; fourth order; linear ordinary boundary value problems; splittings", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Saff:1976:GCRa, author = "E. B. Saff and A. Sch{\"o}nhage and R. S. Varga", title = "Geometric convergence to $e^{-z}$ by rational functions with real poles", journal = j-NUM-MATH, volume = "25", number = "3", pages = "307--322", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See errata \cite{Saff:1976:EGC}.", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; converges geometrically; differential equations; rational functions; real poles", treatment = "T Theoretical or Mathematical", } @Article{LaBudde:1976:EMCa, author = "Robert A. LaBudde and Donald Greenspan", title = "Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. {I}. Motion of a single particle", journal = j-NUM-MATH, volume = "25", number = "4", pages = "323--346", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "energy conserving methods; equations of motion; integration; mechanics; momentum conserving methods; numerical integration; predictor corrector formulae; predictor-corrector methods; single particle motion", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1976:JTM, author = "P. J. Anderson and G. Loizou", title = "A {Jacobi} type method for complex symmetric matrices", journal = j-NUM-MATH, volume = "25", number = "4", pages = "347--363", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Birkbeck Coll., Univ. of London, London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate eigenvalues; approximate eigenvectors; complex matrix; complex symmetric matrices; eig; eigenvalues and eigenfunctions; Jacobi type method; Jacobi-like; matrix algebra; nla; symmetric matrix; transformations", treatment = "T Theoretical or Mathematical", } @Article{Chung:1976:GAA, author = "Soon Park Chung", title = "Generalization and acceleration of an algorithm of {Sebastiao e Silva} and its duals", journal = j-NUM-MATH, volume = "25", number = "4", pages = "365--377", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Michigan, Dearborn, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "dual algorithm; duality (mathematics); function approximation; poles and zeros; polynomial; polynomial zeros approximation; polynomials; Sebastiao e Silva algorithm", treatment = "T Theoretical or Mathematical", } @Article{Chawla:1976:ORP, author = "M. M. Chawla and V. Kaul", title = "Optimal rules with polynomial precision for {Hilbert} spaces possessing reproducing kernel functions. {II}. Error bounds", journal = j-NUM-MATH, volume = "25", number = "4", pages = "379--382", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Indian Inst. of Technol., New Delhi, India", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error bounds; function approximation; Hilbert spaces possessing; hypercircle inequality bounds; interpolation; kernel functions reproduction; optimisation; polynomial precision", treatment = "T Theoretical or Mathematical", } @Article{Hairer:1976:TNM, author = "E. Hairer and G. Wanner", title = "A theory for {Nystr{\"o}m} methods", journal = j-NUM-MATH, volume = "25", number = "4", pages = "383--400", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Section de Math., Univ. de Gen{\`e}ve, Gen{\`e}ve, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Butcher type results; differential equations; first order differential equations; numerical methods; Nystr{\"o}m methods", treatment = "T Theoretical or Mathematical", } @Article{Barnhill:1976:IRT, author = "Robert E. Barnhill and John A. Gregory", title = "Interpolation remainder theory from {Taylor} expansions on triangles", journal = j-NUM-MATH, volume = "25", number = "4", pages = "401--408", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Graphics/imager/imager.76.bib; Graphics/siggraph/76.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "elliptic equations; finite element analysis; interpolation; interpolation remainders; partial differential equations; Sobolev norm error bounds; Taylor expansions on triangles", treatment = "T Theoretical or Mathematical", } @Article{Frank:1976:MID, author = "Reinhard Frank", title = "The method of iterated defect-correction and its application to two-point boundary value problems. {I}", journal = j-NUM-MATH, volume = "25", number = "4", pages = "409--419", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Numerische Math., TH Wien, Wien, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic behaviour; boundary-value problems; differential equations; iterated defect correction method; iterative methods; two point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Omladic:1976:NTQ, author = "M. Omladi{\v{c}} and S. Pahor and A. Suhadolc", title = "On a new type of quadrature formulas", journal = j-NUM-MATH, volume = "25", number = "4", pages = "421--426", month = dec, year = "1976", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396338", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "In the paper quadrature formulas of the form $$\int\limits_a^b f (x)dx = \sum\nolimits_{k = 1}^n w_k I(a_k, b_k; f) + E(f)$$ are considered. Here, $I(a_k, b_k; f)$ is the average of the function $f$ over the interval $[a_k, b_k], a_k \leq b_k$. It is proved that for a set of any $n$ non-overlapping intervals there exists a quadrature formula of the above type exact at least for polynomials of degree $n - 1$. The proof of the theorem uses a generalization of the notion of interpolation polynomial.", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integration; interpolation; interpolation polynomial; polynomials; quadrature formulas", treatment = "T Theoretical or Mathematical", } @Article{Reddien:1976:CMS, author = "G. W. Reddien and L. L. Schumaker", title = "On a collocation method for singular two point boundary value problems", journal = j-NUM-MATH, volume = "25", number = "4", pages = "427--432", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Vanderbilt Univ., Nashville, TN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; collocation method; differential equations; numerical solution; singular nonpolynomial splines; singular two point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Baumeister:1976:ENI, author = "J. Baumeister", title = "{{\"U}ber die Extremaleigenschaft nichtlinearer interpolierender Splines}. ({German}) [{On the extremal property of nonlinear interpolating splines}]", journal = j-NUM-MATH, volume = "25", number = "4", pages = "433--445", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:19:49 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "III Math. Inst., Freien Univ. Berlin, Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "extremal property; interpolation; nonlinear interpolating splines; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Cromme:1976:KVE, author = "Ludwig Cromme", title = "{Eine Klasse von Verfahren zur Ermittlung bester nichtlinearer Tschebyscheff-Approximationen}. ({German}) [{A class of numerical procedures for finding best nonlinear {Chebyshev} approximations}]", journal = j-NUM-MATH, volume = "25", number = "4", pages = "447--459", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:20:49 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Bonn, Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "best nonlinear Chebyshev approximations; Chebyshev approximation; exponential sums approximation; free knots; local strong unicity; numerical procedures; rational functions approximation; spline approximations; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Yamamoto:1976:DEI, author = "Tetsuro Yamamoto", title = "On the distribution of errors in the iterative solution of a system of linear equations. {II}", journal = j-NUM-MATH, volume = "25", number = "4", pages = "461--463", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Ehime Univ., Matsuyama, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error distribution; iterative methods; iterative solution; linear algebra; linear equations", treatment = "T Theoretical or Mathematical", } @Article{LaBudde:1976:EMCb, author = "Robert A. LaBudde and Donald Greenspan", title = "Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. {II}. Motion of a system of particles", journal = j-NUM-MATH, volume = "26", number = "1", pages = "1--16", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Computer Sci. Dept., Univ. of Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "angular momentum; arbitrary order; conserving methods; energy; equations of motion; integration; linear momentum; numerical integration; system of particles", treatment = "A Application; T Theoretical or Mathematical", } @Article{Linden:1976:OSE, author = "Hanj{\"o}rg Linden", title = "{Obere Schranken f{\"u}r Eigenwerte von Eigenwertaufgaben der Form $(\lambda^2 - \lambda A - B) x = 0$}. ({German}) [{Upper bounds for eigenvalues of quadratic eigenvalue problems of the forms $(\lambda^2 \lambda A - B) x = 0$}]", journal = j-NUM-MATH, volume = "26", number = "1", pages = "17--26", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:23:12 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Fach. Math. der Gesamthochschule, Duisburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; eigenvalue; eigenvalues and eigenfunctions; positive definite operators; quadratic eigenvalue; separable Hilbert space; upper bounds", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Eckmann:1976:CGG, author = "J.-P. Eckmann", title = "On the computation of the {Galois} group over the quotient field of {$C(\lambda)$}", journal = j-NUM-MATH, volume = "26", number = "1", pages = "27--37", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. de Phys. Th{\'e}orique, Univ. de Gen{\`e}ve, Geneva, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic continuations; Galois group; Newton polygon method; polynomials; quotient field; splitting field of polynomials", treatment = "T Theoretical or Mathematical", } @Article{Girault:1976:CFE, author = "V. Girault", title = "A combined finite element and {Marker} and {Cell} method for solving {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "26", number = "1", pages = "39--59", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C7440 (Civil and mechanical engineering computing)", corpsource = "Lab. Analyse Num{\'e}rique, Univ. of Paris, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; finite element analysis; finite element approximation; incompressible fluids; Marker and Cell technique; Navier Stokes equations; partial differential equations; polygonal domains", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mattheij:1976:EEM, author = "R. M. M. Mattheij and A. van der Sluis", title = "Error estimates for {Miller}'s algorithm", journal = j-NUM-MATH, volume = "26", number = "1", pages = "61--78", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Math. Inst., Rijksuniv., Utrecht, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error bounds; matrix vector recursions; Miller's algorithm; scalar recursions; truncation and rounding errors", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1976:FEM, author = "Claes Johnson", title = "On finite element methods for plasticity problems", journal = j-NUM-MATH, volume = "26", number = "1", pages = "79--84", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods); C7440 (Civil and mechanical engineering computing)", corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximations; error analysis; error estimate; finite element analysis; incremental finite element method; limit load problem; plasticity problems", treatment = "T Theoretical or Mathematical", } @Article{Haslinger:1976:MFE, author = "J. Haslinger and I. Hlav{\'a}{\v{c}}ek", title = "A mixed finite element method close to the equilibrium model", journal = j-NUM-MATH, volume = "26", number = "1", pages = "85--97", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Fyzikalni, Univ. Karlovy, Praha, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Dirichlet problem; elliptic partial differential equation; equilibrium model; finite element analysis; Friedrichs transformation; Galerkin approximations; mixed finite element method; partial differential equations; variational formulation", treatment = "T Theoretical or Mathematical", } @Article{Saunders:1976:SNR, author = "B. David Saunders and Hans Schneider", title = "A symmetric numerical range for matrices", journal = j-NUM-MATH, volume = "26", number = "1", pages = "99--105", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Math. Sci. Dept., Rensselaer, Polytech. Inst., Troy, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "matrices; matrix algebra; symmetric numerical range", treatment = "T Theoretical or Mathematical", } @Article{Noor:1976:EBF, author = "M. A. Noor and J. R. Whiteman", title = "Error bounds for finite element solutions of mildly nonlinear elliptic boundary value problems", journal = j-NUM-MATH, volume = "26", number = "1", pages = "107--116", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Numerische und Instrumentelle Math., Wilhelms Univ., M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; elliptic boundary value problems; error analysis; error bounds; finite element analysis; finite element solutions; mildly nonlinear problems; Poisson problem", treatment = "T Theoretical or Mathematical", } @Article{Jones:1976:TEA, author = "William B. Jones and W. J. Thron", title = "Truncation error analysis by means of approximant systems and inclusion regions", journal = j-NUM-MATH, volume = "26", number = "2", pages = "117--154", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Univ. of Colorado, Boulder, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximant systems; approximate integration; Cesaro sums; continued fractions; error analysis; inclusion regions; infinite processes; infinite series; iterative method; Pad{\'e} approximants; truncation error analysis", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cavendish:1976:RAB, author = "James C. Cavendish and William J. Gordon and Charles A. Hall", title = "{Ritz--Galerkin} approximations in blending function spaces", journal = j-NUM-MATH, volume = "26", number = "2", pages = "155--178", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "General Motors Res. Labs., Warren, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; bivariate blending function spaces; boundary-value problems; elliptic boundary value problems; interpolation; Ritz Galerkin method; splines; splines (mathematics); tensor product techniques", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1976:DLA, author = "D. H. Anderson and M. R. Osborne", title = "Discrete, linear approximation problems in polyhedral norms", journal = j-NUM-MATH, volume = "26", number = "2", pages = "179--189", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Maths. Dept., Melbourne Univ., Melbourne, Vic., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; discrete linear approximation; general exchange algorithm; linear inequality constraints; linear programming; polyhedral norms", treatment = "T Theoretical or Mathematical", } @Article{Micchelli:1976:ORS, author = "C. A. Micchelli and T. J. Rivlin and S. Winograd", title = "The optimal recovery of smooth functions", journal = j-NUM-MATH, volume = "26", number = "2", pages = "191--200", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Thomas J. Watson Res. Center, IBM Yorktown Heights, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "canonical knots; error analysis; interpolation; optimal recovery; positive lower bound; smooth functions; splines; splines (mathematics); uniform error", treatment = "T Theoretical or Mathematical", } @Article{Pallaschke:1976:ODI, author = "Diethard Pallaschke", title = "{Optimale Differentiations- und Integrationsformeln in $C_0[a,b]$}. ({German}) [{Optimal differentiation and integration formulae in {$C_0(a,b)$}}]", journal = j-NUM-MATH, volume = "26", number = "2", pages = "201--210", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:24:36 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Inst. f{\"u}r Numerische Math., Univ. M{\"u}nster, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach space; differentiation; integration; optimal formulae; real valued continuous functions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Saff:1976:GCRb, author = "E. B. Saff and R. S. Varga and W.-C. Ni", title = "Geometric convergence of rational approximations to $e^{-z}$ in infinite sectors", journal = j-NUM-MATH, volume = "26", number = "2", pages = "211--225", month = jun, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; geometric convergence; infinite sectors; Pad{\'e} approximants; rational approximations", treatment = "T Theoretical or Mathematical", } @Article{Saff:1976:EZP, author = "E. B. Saff and R. S. Varga", title = "Erratum: {``On the zeros and poles of {Pad{\'e}} approximants to $e^z$''}", journal = j-NUM-MATH, volume = "26", number = "2", pages = "226--226", month = jun, year = "1976", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01395976", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 11:20:30 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Saff:1975:ZPP}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Saff:1976:EGC, author = "E. B. Saff and A. Sch{\"o}nhage and R. S. Varga", title = "Errata: {``Geometric convergence to $e^{-z}$ by rational functions with real poles''}", journal = j-NUM-MATH, volume = "26", number = "2", pages = "226--226", month = jun, year = "1976", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01395976", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 11:20:30 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Saff:1976:GCRa}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cerutti:1976:CMP, author = "John H. Cerutti and Seymour V. Parter", title = "Collocation methods for parabolic partial differential equations in one space dimension", journal = j-NUM-MATH, volume = "26", number = "3", pages = "227--254", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Union Carbide Corp., South Charleston, WV, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A stability; approximation theory; collocation; Gaussian points; Laplace transform; longtime integration; one space dimension; parabolic partial differential equations; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Miyoshi:1976:MFE, author = "Tetsuhiko Miyoshi", title = "A mixed finite element method for the solution of the {von Karman} equations", journal = j-NUM-MATH, volume = "26", number = "3", pages = "255--269", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Kumamoto Univ., Kumamoto, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "biharmonic problem; convergence; differential equations; Dirichlet problem; existence; finite element analysis; mixed finite element method; thin elastic plate deflection; uniqueness; von Karman equations", treatment = "T Theoretical or Mathematical", } @Article{Spijker:1976:PTE, author = "M. N. Spijker", title = "On the possibility of two-sided error bounds in the numerical solution of initial value problems", journal = j-NUM-MATH, volume = "26", number = "3", pages = "271--300", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Inst., Rijksuniv. Leiden, Leiden, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; difference equations; differential equation; differential equations; error analysis; error bounds; finite difference method; initial value problems; numerical solution; parabolic differential equations; perturbation; two sided estimate", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stummel:1976:WSW, author = "Friedrich Stummel", title = "Weak stability and weak discrete convergence of continuous mappings", journal = j-NUM-MATH, volume = "26", number = "3", pages = "301--315", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Math., Johann Wolfgang Goethe Univ., Frankfurt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "consistency; continuous mappings; convergence of numerical methods; difference quotients; double sequences; equivalence theorems; numerical solution; weak discrete convergence; weak stability", treatment = "T Theoretical or Mathematical", } @Article{Gargantini:1976:PLI, author = "Irene Gargantini", title = "Parallel {Laguerre} iterations: the complex case", journal = j-NUM-MATH, volume = "26", number = "3", pages = "317--323", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computer Sci., Univ. of Western Ontario, London, Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "circular arithmetic; closed discs; error bounds; iterative methods; parallel Laguerre iterations; polynomial; polynomials; square root iteration", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mignotte:1976:NMB, author = "Maurice Mignotte", title = "Note sur la m{\'e}thode {Bernoulli}. ({French}) [{A} note on {Bernoulli}'s method]", journal = j-NUM-MATH, volume = "26", number = "3", pages = "325--326", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Louis Pasteur, Strasbourg, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bernoulli's method; complex conjugate; dominant zeroes; Henrici; polynomial; polynomials", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Deuflhard:1976:MCM, author = "P. Deuflhard and H.-J. Pesch and P. Rentrop", title = "A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques", journal = j-NUM-MATH, volume = "26", number = "3", pages = "327--343", month = sep, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. of Math. Tech., Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; modified continuation method; nonlinear two point boundary value problems; numerical solution; shooting techniques", treatment = "T Theoretical or Mathematical", } @Article{Saff:1976:STC, author = "E. B. Saff and R. S. Varga", title = "On the sharpness of theorems concerning zero-free regions for certain sequences of polynomials", journal = j-NUM-MATH, volume = "26", number = "4", pages = "345--354", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Saff:1977:EST}.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Pad{\'e} approximants; parabolic regions; polynomials; recurrence relation; sectorial region; sharpness of theorems; zero free regions", treatment = "T Theoretical or Mathematical", } @Article{Kacewicz:1976:IIM, author = "Boles{\l}aw Kacewicz", title = "An integral-interpolation iterative method for the solution of scalar equations", journal = j-NUM-MATH, volume = "26", number = "4", pages = "355--365", month = dec, year = "1976", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01409958", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Warszawski, Warsaw, Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence theorems; equations; integral; interpolation; iterative method; iterative methods; nonlinear scalar equation", treatment = "T Theoretical or Mathematical", } @Article{Mock:1976:EFE, author = "M. S. Mock", title = "Explicit finite element schemes for first order symmetric hyperbolic systems", journal = j-NUM-MATH, volume = "26", number = "4", pages = "367--378", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential operator; finite element; finite element analysis; first order; hyperbolic equations; partial differential equations; spline; symmetric hyperbolic systems", treatment = "T Theoretical or Mathematical", } @Article{Taubert:1976:DST, author = "K. Taubert", title = "{Differenzverfahren f{\"u}r Schwingungen mit trockener und z{\"a}her Reibung und f{\"u}r Regelungssysteme}. ({German}) [{A finite difference method in forced vibrations with combined viscous and {Coulomb} damping and in feedback control systems}]", journal = j-NUM-MATH, volume = "26", number = "4", pages = "379--395", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:26:26 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C1120 (Mathematical analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Coulomb damping; difference equations; discontinuous right hand side; Euler Cauchy method; feedback; feedback control systems; finite difference method; forced vibrations; initial value problems; ordinary differential equations", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{vanVeldhuizen:1976:RPC, author = "M. van Veldhuizen", title = "A refinement process for collocation approximations", journal = j-NUM-MATH, volume = "26", number = "4", pages = "397--407", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Vrije Univ., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; collocation approximations; differential equations; function approximation; Gaussian points; refinement process", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1976:CPI, author = "G. Alefeld", title = "{Zur Konvergenz des Peaceman--Rachford-Verfahrens}. ({German}) [{On the convergence of the {Peaceman--Rachford} iterative method}]", journal = j-NUM-MATH, volume = "26", number = "4", pages = "409--419", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:55:21 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Karlsruhe, Karlsruhe, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; elliptic boundary value problems; iterative methods; Peaceman Rachford iterative method; regular splittings", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Sprekels:1976:EEE, author = "J{\"u}rgen Sprekels", title = "{Existenz und erste Einschlie{\ss}ung positiver L{\"o}sungen bei superlinearen Randwertaufgaben zweiter Ordnung}. ({German}) [{Existence and first bounds of positive solutions of superlinear second-order boundary value problems}]", journal = j-NUM-MATH, volume = "26", number = "4", pages = "421--428", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:27:46 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Inst. f{\"u}r Angewandte Math., Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach space; boundary value problems; boundary-value problems; existence theorems; first bounds; fixed point theorem; positive solutions; superlinear boundary value problems", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Schroder:1976:RDB, author = "Johann Schr{\"o}der and Ulrich Trottenberg and Heinz Reutersberg", title = "{Reduktionsverfahren f{\"u}r DIfferenzengleichungen bie Randwertaufgaben. II}. ({German}) [{Solving difference equations for boundary value problems by reduction methods. {II}}]", journal = j-NUM-MATH, volume = "26", number = "4", pages = "429--459", month = dec, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:14:38 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; difference equations; numerical errors; numerical stability; Poisson's equation; reduction methods", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Chartres:1976:CLM, author = "Bruce A. Chartres and Robert S. Stepleman", title = "Convergence of linear multistep methods for differential equations with discontinuities", journal = j-NUM-MATH, volume = "27", number = "1", pages = "1--10", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math. and Computer Sci., Univ. of Virginia, Charlottesville, VA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; differential equations; discontinuities; linear multistep methods; Lipschitz continuous; Riemann integral; stability functional", treatment = "T Theoretical or Mathematical", } @Article{Hallet:1976:GMM, author = "P. Hallet and J. P. Hennart and E. H. Mund", title = "A {Galerkin} method with modified piecewise polynomials for solving a second-order boundary value problem", journal = j-NUM-MATH, volume = "27", number = "1", pages = "11--20", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Centre d'Informatique General, Bruxelles, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; boundary-value problems; collocation technique; convergence properties; Galerkin method; Hermite space; piecewise polynomials; second order boundary value problem; trial function", treatment = "T Theoretical or Mathematical", } @Article{Zadunaisky:1976:EEP, author = "Pedro E. Zadunaisky", title = "On the estimation of errors propagated in the numerical integration of ordinary differential equations", journal = j-NUM-MATH, volume = "27", number = "1", pages = "21--39", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Obs. Nacional de Fisica Cosmica, San Miguel, Argentina", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "astronomy; differential equations; error analysis; errors; finite difference; integration; numerical integration; ordinary differential equations; spline; two point boundary conditions", treatment = "T Theoretical or Mathematical", } @Article{Patterson:1976:HPM, author = "T. N. L. Patterson", title = "On high precision methods for the evaluation of {Fourier} integrals with finite and infinite limits", journal = j-NUM-MATH, volume = "27", number = "1", pages = "41--52", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Math. and Theoretical Phys., Queen's Univ. of Belfast, Belfast, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bakhvalov and Vasil'eva method; Chebyshev approximation; Chebyshev polynomials; finite and infinite limits; Fourier integrals; high precision methods; instability; integration; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Wagenfuhrer:1976:VHK, author = "E. Wagenf{\"u}hrer", title = "{Ein Verfahren h{\"o}herer Konvergenzordnung zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung}. ({German}) [{A method of high order convergence for calculating the characteristic exponent of {Mathieu}'s differential equation}]", journal = j-NUM-MATH, volume = "27", number = "1", pages = "53--65", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:30:26 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Fachbereich Math., Univ. Regensburg, Regensburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "characteristic exponent; convergence of numerical methods; differential equations; high order convergence; infinite tridiagonal matrices; Mathieu's differential equation; trigonometric functions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Veselic:1976:SCJ, author = "K. Veseli{\'c}", title = "Some convergent {Jacobi}-like procedures for diagonalising {$J$}-symmetric matrices", journal = j-NUM-MATH, volume = "27", number = "1", pages = "67--75", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Abteilung Math., Univ. Dortmund, Dortmund, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergent Jacobi like procedures; diagonalising J symmetric matrices; eigenvalue problems; eigenvalues and eigenfunctions; matrix algebra; normdecreasing methods", treatment = "T Theoretical or Mathematical", } @Article{Claessens:1976:NAO, author = "G. Claessens", title = "A new algorithm for oscillatory rational interpolation", journal = j-NUM-MATH, volume = "27", number = "1", pages = "77--83", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Antwerp, Antwerp, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function evaluation; interpolation; oscillatory rational interpolation", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Matthys:1976:ALM, author = "J. Matthys", title = "A-stable linear multistep methods for {Volterra} integro-differential equations", journal = j-NUM-MATH, volume = "27", number = "1", pages = "85--94", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "MBLE Res. Lab., Brussels, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A stability; integro-differential equations; linear multistep methods; Volterra integro differential equations", treatment = "T Theoretical or Mathematical", } @Article{Bunch:1976:DSM, author = "James R. Bunch and Linda Kaufman and Beresford N. Parlett", title = "Decomposition of a Symmetric Matrix", journal = j-NUM-MATH, volume = "27", number = "1", pages = "95--109", month = mar, year = "1976", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01399088", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", abstract = "An algorithm is presented to compute a triangular factorization and the inertia of a symmetric matrix. The algorithm is stable even when the matrix is not positive definite and is as fast as Cholesky. Programs for solving associated systems of linear equations are included.", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of California, San Diego, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cholesky; indefinite system; inertia; linear equations; linear system; lud; matrix algebra; nla; permutation matrix; symmetric matrix; triangular factorisation", treatment = "T Theoretical or Mathematical", } @Article{Kupper:1976:PLU, author = "Tassilo K{\"u}pper", title = "Pointwise lower and upper bounds for eigenfunctions of ordinary differential operators", journal = j-NUM-MATH, volume = "27", number = "1", pages = "111--119", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenfunctions; eigenvalue; eigenvalues and eigenfunctions; ordinary differential operators; pointwise bound; Rayleigh Ritz approximation", treatment = "T Theoretical or Mathematical", } @Article{Hansen:1976:EMR, author = "Eldon Hansen and Merrell Patrick", title = "Estimating the multiplicity of a root", journal = j-NUM-MATH, volume = "27", number = "1", pages = "121--131", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lockheed Palo Alto Res. Lab., Palo Alto, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation; iterative methods; Laguerre's method; modified Newton's method; multiplicity; Newton's method; one point iteration functions; root", treatment = "T Theoretical or Mathematical", } @Article{Robert:1976:ADT, author = "Fran{\c{c}}ois Robert", title = "Autour du th{\'e}or{\`e}me de {Stein--Rosenberg}. ({French}) [{More} about the {Stein--Rosenberg} theorem]", journal = j-NUM-MATH, volume = "27", number = "1", pages = "133--141", month = mar, year = "1976", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. Nat. Polytech., Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; iterative methods; matrix algebra; nonlinear iterative process; nonnegative matrices; Stein Rosenberg theorem", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Verwer:1977:GLM, author = "J. G. Verwer", title = "On generalized linear multistep methods with zero-parasitic roots and an adaptive principal root", journal = j-NUM-MATH, volume = "27", number = "2", pages = "143--155", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Math. Centrum, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive principal root; differential equations; generalized linear multistep methods; integration; numerical integration; ordinary differential equations.; stability; stiff systems; zero parasitic roots", treatment = "T Theoretical or Mathematical", } @Article{White:1977:OEP, author = "Bran E. White", title = "On optimal extreme-discrepancy point sets in the square", journal = j-NUM-MATH, volume = "27", number = "2", pages = "157--164", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Lincoln Lab., MIT, Lexington, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integration; optimal extreme discrepancy point sets; point ordering; square", treatment = "T Theoretical or Mathematical", } @Article{Cash:1977:NIS, author = "J. R. Cash", title = "A note on the iterative solution of recurrence relations", journal = j-NUM-MATH, volume = "27", number = "2", pages = "165--170", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Imperial Coll. of Sci. and Technol., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic equations; algorithms; iterative methods; iterative solution; recurrence relations; third order", treatment = "T Theoretical or Mathematical", } @Article{vonWelck:1977:SSA, author = "U. von Welck", title = "{Ein stabiles Schichtenverfahren f{\"u}r allgemeine lineare Evolutionsgleichungen}. ({German}) [{A stable line method for general linear evolution equations}]", journal = j-NUM-MATH, volume = "27", number = "2", pages = "171--178", month = jun, year = "1977", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396637", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:31:46 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Inst., Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation method; Banach spaces; initial value problems; stable line method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Blatt:1977:RTA, author = "Hans-Peter Blatt", title = "{Rationale Tschebyscheff-Approximation {\"u}ber unbeschr{\"a}nkten Intervallen}. ({German}) [{Rational Chebyshev} approximation on unbounded intervals]", journal = j-NUM-MATH, volume = "27", number = "2", pages = "179--190", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:33:21 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Mannheim, Mannheim, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev; Chebyshev approximation; extended real numbers; functions; rational best approximations", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Blatt:1977:SRA, author = "Hans-Peter Blatt", title = "{Zur Stetigkeit rationaler T-Approximationen {\"u}ber unbeschr{\"a}nkten Intervallen}. ({German}) [{Continuity of best rational approximations on unbounded intervals}]", journal = j-NUM-MATH, volume = "27", number = "2", pages = "191--202", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:34:30 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. Mannheim, Mannheim, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "best rational approximations; Chebyshev; Chebyshev approximation; conditions; continuity; dependence; unbounded intervals", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Cordellier:1977:PRV, author = "F. Cordellier", title = "Particular rules for the vector $\epsilon$-algorithm", journal = j-NUM-MATH, volume = "27", number = "2", pages = "203--207", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "Univ. de Lille I, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; singular rule; vector epsilon algorithm", treatment = "T Theoretical or Mathematical", } @Article{Delves:1977:OCW, author = "L. M. Delves and M. Bain", title = "On the optimum choice of weight functions in a class of variational calculations", journal = j-NUM-MATH, volume = "27", number = "2", pages = "209--218", month = jun, year = "1977", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396641", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Computational and Statistical Sci., Univ. of Liverpool, Liverpool, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence properties; operator matrices; optimum choice; second order differential equations; variational calculations; variational techniques; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Bain:1977:CRE, author = "M. Bain and L. M. Delves", title = "The convergence rates of expansions in {Jacobi} polynomials", journal = j-NUM-MATH, volume = "27", number = "2", pages = "219--225", month = jun, year = "1977", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396642", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. of Leicester, Leicester, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence rates; estimates; expansions; Jacobi polynomials; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Lorenz:1977:IDP, author = "Jens Lorenz", title = "{Zur Inversmonotonie diskreter Probleme}. ({German}) [{On the monotone kind-property of discrete problems}]", journal = j-NUM-MATH, volume = "27", number = "2", pages = "227--238", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:35:27 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. M{\"u}nster, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "discrete problems; matrix algebra; monotone kind property; nonnegative inverse; real square matrix; sufficient conditions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Ifantis:1977:LBZ, author = "Evangelos K. Ifantis and Christos B. Kouris", title = "Lower bounds for the zeros of analytic functions", journal = j-NUM-MATH, volume = "27", number = "2", pages = "239--247", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis)", corpsource = "Dept. of Math., Univ. of Patras, Patras, Greece", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic functions; function evaluation; lower bounds; poles and zeros; zeros", treatment = "T Theoretical or Mathematical", } @Article{Hald:1977:DIS, author = "Ole H. Hald", title = "Discrete inverse {Sturm--Liouville} problems. {I}. Uniqueness for symmetric potentials", journal = j-NUM-MATH, volume = "27", number = "2", pages = "249--256", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of California, Berkeley, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Dirichlet boundary conditions; discrete inverse Sturm Liouville problem; eigenvalues and eigenfunctions; symmetric potentials; uniquely", treatment = "T Theoretical or Mathematical", } @Article{Hansen:1977:FRF, author = "Eldon Hansen and Merrell Patrick", title = "A family of root finding methods", journal = j-NUM-MATH, volume = "27", number = "3", pages = "257--269", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lockheed Palo Alto Res. Lab., Palo Alto, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; Euler method; Halley method; iteration functions; iterative methods; Laguerre's method; Ostrowski method; polynomials; root finding methods; roots of polynomials", treatment = "T Theoretical or Mathematical", } @Article{Bus:1977:CNM, author = "J. C. P. Bus", title = "Convergence of {Newton}-like methods for solving systems of nonlinear equations", journal = j-NUM-MATH, volume = "27", number = "3", pages = "271--281", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Math. Centre, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; Newtonlike methods; nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{Hairer:1977:MNP, author = "E. Hairer", title = "{M}{\'e}thodes de {Nystr{\"o}m} pour l'{\'e}quation diff{\'e}rentielle $y''=f(x,y)$. ({French}) [{Nystr{\"o}m} methods for the differential equation $y''=f(x,y)$]", journal = j-NUM-MATH, volume = "27", number = "3", pages = "283--300", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Section de Math., Univ. de Gen{\`e}ve, Gen{\`e}ve, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Nystr{\"o}m methods; order conditions; partial differential equations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Ling:1977:CPA, author = "William H. Ling and Harry W. McLaughlin and Mary Lynn Smith", title = "A computational procedure for the approximation of random functions", journal = j-NUM-MATH, volume = "27", number = "3", pages = "301--305", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Systems Analysis, Organization 1311, Sandia Labs., Albuquerque, NM, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation of; computational procedure; function approximation; polynomial; polynomials; random functions", treatment = "T Theoretical or Mathematical", } @Article{Meinguet:1977:OAE, author = "Jean Meinguet and Jean Descloux", title = "An operator-theoretical approach to error estimation", journal = j-NUM-MATH, volume = "27", number = "3", pages = "307--326", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Inst. de Math. Pure et Appliqu{\'e}e, Univ. de Louvain, Louvain-la-Neuve, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; error analysis; error estimation; generic constants; mean square approximation; operator theory; Peano kernel theorem; pointwise approximation", treatment = "T Theoretical or Mathematical", } @Article{Widlund:1977:BEB, author = "Olof Widlund", title = "On best error bounds for approximation by piecewise polynomial functions", journal = j-NUM-MATH, volume = "27", number = "3", pages = "327--338", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Courant Inst. of Math. Sci., New York, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; piecewise polynomial functions; polynomials; splines; trigonometric polynomials", treatment = "T Theoretical or Mathematical", } @Article{Witsch:1977:KPL, author = "Kristian Witsch", title = "{Konvergenzaussagen f{\"u}r Projectionsverfahren bei linearen Operatoren}. ({German}) [{Convergence of projection methods for linear operators}]", journal = j-NUM-MATH, volume = "27", number = "3", pages = "339--354", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:36:37 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "abstract theorems; boundary value problems; boundary-value problems; convergence; convergence of numerical methods; linear operators; projection methods", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Schmeisser:1977:RRM, author = "Gerhard Schmeisser", title = "A representation for the remainder of the {Maclaurin} quadrature formula", journal = j-NUM-MATH, volume = "27", number = "3", pages = "355--358", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Math. Inst., Univ. Erlangen-N{\"u}rnberg, Erlangen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integration; Maclaurin quadrature formula; remainder", treatment = "T Theoretical or Mathematical", } @Article{Verwer:1977:SPG, author = "J. G. Verwer", title = "{$S$}-stability properties for generalized {Runge--Kutta} methods", journal = j-NUM-MATH, volume = "27", number = "4", pages = "359--370", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Centrum, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "generalised Runge Kutta methods; numerical integration; ordinary differential equations; Runge--Kutta methods; S-stability properties; stiff systems", treatment = "T Theoretical or Mathematical", } @Article{Conrad:1977:FSA, author = "V. Conrad and Y. Wallach", title = "A faster {SSOR} algorithm", journal = j-NUM-MATH, volume = "27", number = "4", pages = "371--372", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Technion-Israel Inst. of Technol., Technion City, Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; faster; iteration; iterative methods; reverse order; SOR; symmetric successive overrelaxation", treatment = "T Theoretical or Mathematical", } @Article{Wozniakowski:1977:NSS, author = "H. Wo{\'z}niakowski", title = "Numerical Stability for Solving Nonlinear Equations", journal = j-NUM-MATH, volume = "27", number = "4", pages = "373--390", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Univ. of Warsaw, Warsaw, Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "condition number; nonlinear equations; numerical stability", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1977:LCG, author = "Charles R. Johnson", title = "Locally compatible generalized matrix norms", journal = j-NUM-MATH, volume = "27", number = "4", pages = "391--394", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "generalized matrix norms; locally compatible; matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Paulik:1977:EOQ, author = "Augustin Paulik", title = "{Zur existenz optimaler Quadraturformeln mit freien Knoten bei Integration analytischer Funktionen}. ({German}) [{On the existence of optimal integration formulas with free nodes for analytic functions}]", journal = j-NUM-MATH, volume = "27", number = "4", pages = "395--405", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:38:29 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Angewandte Math., Univ. G{\"o}ttingen, G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic functions; existence; free nodes; integration; optimal integration formulas; quadrature rules", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Frank:1977:MID, author = "R. Frank", title = "The method of iterated defect-correction and its application to two-point boundary value problems. {II}", journal = j-NUM-MATH, volume = "27", number = "4", pages = "407--420", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Numerische Math., Tech. Univ., Wien, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; iterated defect correction; two point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Pallaschke:1977:KOD, author = "Diethard Pallaschke", title = "{Konvergenz optimaler Differentiationsformeln}. ({German}) [{Convergence of optimal differentiation formulas}]", journal = j-NUM-MATH, volume = "27", number = "4", pages = "421--426", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:39:50 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Inst. f{\"u}r Numerische Math., Univ. M{\"u}nster, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; converges; differentiation; optimal differentiation formulas; properties", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Zahar:1977:MAM, author = "R. V. M. Zahar", title = "A mathematical analysis of {Miller}'s algorithm", journal = j-NUM-MATH, volume = "27", number = "4", pages = "427--447", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Basser Dept. of Computer Sci., Univ. of Sydney, Sydney, NSW, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "backward recurrence algorithm; convergence; difference equations; homogeneous systems; linear difference equations; mathematical analysis; scalar equations; stability", treatment = "T Theoretical or Mathematical", } @Article{Diekhoff:1977:CRN, author = "H.-J. Diekhoff and P. Lory and H. J. Oberle and H.-J. Pesch and P. Rentrop and R. Seydel", title = "Comparing routines for the numerical solution of initial value problems of ordinary differential equations in multiple shooting", journal = j-NUM-MATH, volume = "27", number = "4", pages = "449--469", month = dec, year = "1977", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01399607", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math., Tech. Univ., Munich, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; compared; initial value problems; integration; multiple shooting; numerical solution; optimal control; ordinary differential equations; routines", treatment = "T Theoretical or Mathematical", } @Article{Haverkamp:1977:SLP, author = "Richard Haverkamp", title = "{Sturm--Liouville-Probleme mit schwach singul{\"a}ren Koeffizientenfunktionen. Teil I. Eigenwertproblem}. ({German}) [{Weak singular {Sturm--Liouville} problems. {I}. Eigenvalue problem}]", journal = j-NUM-MATH, volume = "27", number = "4", pages = "471--484", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:41:31 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Numerische, Univ. M{\"u}nster, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence properties; Rayleigh Ritz method; Sturm Liouville problems", language = "German", treatment = "T Theoretical or Mathematical", } @Article{deBoor:1977:BEA, author = "Carl de Boor and Allan Pinkus", title = "A Backward Error Analysis for Totally Positive Linear Systems", journal = j-NUM-MATH, volume = "27", number = "4", pages = "485--490", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "B-spline; backward error analysis; banded linear system; error analysis; interpolating spline function; lud; nla; rounding error; splines (mathematics); totally positive linear systems; totally positive matrix", treatment = "T Theoretical or Mathematical", } @Article{Sherman:1977:CGA, author = "B. F. Sherman", title = "A counterexample to {Greenberg}'s algorithm for solving linear inequalities", journal = j-NUM-MATH, volume = "27", number = "4", pages = "491--492", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Education, Univ. of Adelaide, SA, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; linear algebra; solving linear inequalities", treatment = "T Theoretical or Mathematical", } @Article{Axelsson:1977:EEG, author = "Owe Axelsson", title = "Error estimates for {Galerkin} methods for quasilinear parabolic and elliptic differential equations in divergence form", journal = j-NUM-MATH, volume = "28", number = "1", pages = "1--14", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:55:33 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Chalmers Univ. of Technol., G{\"o}teborg, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "divergence form; elliptic differential equations; error analysis; Galerkin methods; nonlinear differential equations; quasilinear parabolic equations", treatment = "T Theoretical or Mathematical", } @Article{Rappaz:1977:ASN, author = "J. Rappaz", title = "Approximation of the spectrum of a non-compact operator given by the magnetohydrodynamic stability of a plasma", journal = j-NUM-MATH, volume = "28", number = "1", pages = "15--24", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A5230 (Plasma flow; A5235P (Plasma instabilities); magnetohydrodynamics)", corpsource = "Dept. de Math., {\'E}cole Polytech. F{\'e}d{\'e}rale de Lausanne, Lausanne, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; magnetohydrodynamic stability; noncompact operator; plasma; plasma instability; plasma magnetohydrodynamics; spectrum", treatment = "T Theoretical or Mathematical", } @Article{Starius:1977:COC, author = "G{\"o}ran Starius", title = "Constructing orthogonal curvilinear meshes by solving initial value problems", journal = j-NUM-MATH, volume = "28", number = "1", pages = "25--48", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:55:41 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Univ. of Uppsala, Uppsala, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constructing; initial value problems; orthogonal curvilinear meshes; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Engels:1977:FIQ, author = "Hermann Engels", title = "{Eine Familie interpolatorischer Quadraturformeln mit ableitungsfreien Fehlerschranken}. ({German}) [{A family of quadrature formulas having error bounds without derivatives}]", journal = j-NUM-MATH, volume = "28", number = "1", pages = "49--58", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed May 28 22:43:56 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Math., RWTH Aachen, Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error bounds; family; integration; quadrature formulas; without derivatives", language = "German", } @Article{Gautschi:1977:OCQ, author = "Walter Gautschi and Giovanni Monegato", title = "On optimal {Chebyshev-type} quadratures", journal = j-NUM-MATH, volume = "28", number = "1", pages = "59--67", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jun 02 08:56:06 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Math. Res. Center, Univ. of Wisconsin-Madison, Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev quadrature; exactness; integration; minimize; optimal", treatment = "T Theoretical or Mathematical", } @Article{Esser:1977:SDR, author = "Henning Esser", title = "{Stabilit{\"a}tsungleichung f{\"u}r Diskretisierungen von Randwertaufgaben gew{\"o}nlicher Differentialgleichungen}. ({German}) [{Stability inequalities for discretizations of boundary value problems in ordinary differential equations}]", journal = j-NUM-MATH, volume = "28", number = "1", pages = "69--100", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:01:30 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Math., RWTH Aachen, Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; discretizations; ordinary differential equations; stability inequalities; two point", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Cromme:1977:NMB, author = "Ludwig Cromme", title = "{Numerische Methoden zur Behandlung einiger Problemklassen der nichtlinearen Tschebyscheff-Approximation mit Nebenbedingungen}. ({German}) [{Numerical methods for constrained nonlinear {Chebyshev} approximation}]", journal = j-NUM-MATH, volume = "28", number = "1", pages = "101--117", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:44:33 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Bonn, Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; constrained nonlinear Chebyshev approximation; numerical", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Saff:1977:EST, author = "E. B. Saff and R. S. Varga", title = "Erratum: {``On the sharpness of theorems concerning zero-free regions for certain sequences of polynomials'' (Numer. Math. {\bf 26} (1976), no. 4, 345--354)}", journal = j-NUM-MATH, volume = "28", number = "1", pages = "119--119", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30A08 (65E05)", MRnumber = "56 #5848b", bibdate = "Sun Oct 17 12:54:13 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Saff:1976:STC}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{JHW:1977:AHA, author = "{JHW}", title = "{Alston S. Householder} award (1977)---final notice", journal = j-NUM-MATH, volume = "28", number = "1", pages = "120--120", month = mar, year = "1977", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01403861", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 10:10:03 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hackbusch:1977:EAC, author = "Wolfgang Hackbusch", title = "Extrapolation applied to certain discretization methods solving the initial value problem for hyperbolic differential equations", journal = j-NUM-MATH, volume = "28", number = "2", pages = "121--142", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Inst., Univ. zu Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy's initial value problem; determinancy; discretization methods; extrapolation; hyperbolic differential equations; initial value problems; method of characteristics; nonlinear differential equations", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1977:DNAa, author = "D. H. Anderson and M. R. Osborne", title = "Discrete, nonlinear approximation problems in polyhedral norms", journal = j-NUM-MATH, volume = "28", number = "2", pages = "143--156", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Dept., Univ. of Melbourne, Parkville, Vic., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithmic treatment; discrete nonlinear approximation problem; function approximation; Gauss Newton method; polyhedral norm approximation", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1977:DNAb, author = "D. H. Anderson and M. R. Osborne", title = "Discrete, nonlinear approximation problems in polyhedral norms: a {Levenberg}-like algorithm", journal = j-NUM-MATH, volume = "28", number = "2", pages = "157--170", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Dept., Univ. of Melbourne, Parkville, Vic., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; discrete nonlinear approximation problems; function approximation; Levenberglike algorithm; nlop; polyhedral norms", treatment = "T Theoretical or Mathematical", } @Article{Langford:1977:NSB, author = "W. F. Langford", title = "Numerical solution of bifurcation problems for ordinary differential equations", journal = j-NUM-MATH, volume = "28", number = "2", pages = "171--190", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C3385 (Biological and medical control systems); C4170 (Differential equations)", corpsource = "Dept. of Math., McGill Univ., Montreal, Que., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accuracy; biocontrol; biological feedback inhibition control; buckling; differential equations; efficiency; Euler rod buckling problem; Hopf bifurcation; iterative algorithm; iterative methods; numerical solutions; ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wozniakowski:1977:NSC, author = "H. Wo{\'z}niakowski", title = "Numerical Stability of the {Chebyshev} Method for the Solution of Large Linear Systems", journal = j-NUM-MATH, volume = "28", number = "2", pages = "191--209", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; Chebyshev method; computed residuals; error analysis; floating point arithmetic; iterative methods; large linear systems; linear systems; numerical stability; rounding error analysis", treatment = "T Theoretical or Mathematical", } @Article{deJong:1977:TFD, author = "Lieuwe Sytse de Jong", title = "Towards a Formal Definition of Numerical Stability", journal = j-NUM-MATH, volume = "28", number = "2", pages = "211--219", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4240 (Programming and algorithm theory)", corpsource = "Computing Centre, Univ. of Technol., Eindhoven, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm theory; algorithms; error analysis; formal definition; numerical instability; numerical methods; numerical stability; stability", treatment = "T Theoretical or Mathematical", } @Article{Dax:1977:PTS, author = "Achiya Dax and S. Kaniel", title = "Pivoting Techniques for Symmetric {Gaussian} Elimination", journal = j-NUM-MATH, volume = "28", number = "2", pages = "221--241", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "C4140 (Linear algebra)", corpsource = "Inst. of Math., Hebrew Univ., Jerusalem, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; Cholesky decomposition; factorizing; indefinite symmetric matrix; lud; matrix algebra; nla; pivoting; symmetric Gaussian elimination; symmetric matrix", treatment = "T Theoretical or Mathematical", } @Article{Starius:1977:CMD, author = "G{\o}ran Starius", title = "Composite mesh difference methods for elliptic boundary value problems", journal = j-NUM-MATH, volume = "28", number = "2", pages = "243--258", month = jun, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Uppsala Univ., Uppsala, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; composite mesh difference methods; couplings; curved mesh; difference approximation; difference equations; elliptic boundary value problems; rectangular mesh; second order elliptic equations", treatment = "T Theoretical or Mathematical", } @Article{Fix:1977:PVP, author = "George J. Fix and Morton E. Gurtin", title = "On patched variational principles with application to elliptic and mixed elliptic-hyperbolic problems", journal = j-NUM-MATH, volume = "28", number = "3", pages = "259--271", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4740H (Transonic flows); C4170 (Differential equations)", corpsource = "Dept. of Math., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; boundary value problems; boundary-value problems; elliptic equations; mixed elliptic hyperbolic problems; numerical methods; partial differential equations; patched principle; transonic flow; Tricomi problem; variational principles; variational techniques", treatment = "A Application; T Theoretical or Mathematical", } @Article{Klee:1977:LAT, author = "Victor Klee and Pauline van den Driessche", title = "Linear algorithms for testing the sign stability of a matrix and for finding {$Z$}-matrix matchings an acyclic graphs", journal = j-NUM-MATH, volume = "28", number = "3", pages = "273--285", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Univ. of Washington, Seattle, WA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computer applications; graph theory; linear algorithms; matrix algebra; matrix sign stability testing; stability; Z-maximum matchings", treatment = "T Theoretical or Mathematical", } @Article{Mavrides:1977:OUN, author = "Lazaros P. Mavrides", title = "Optimisation under nonnegativity constraints", journal = j-NUM-MATH, volume = "28", number = "3", pages = "287--293", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Morgan Guaranty Trust Co., New York, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constraint theory; feasible direction method; finite search procedure; finite stopping rule; nonnegativity constraints; one dimensional subproblem; optimisation; unconstrained optimisation", treatment = "T Theoretical or Mathematical", } @Article{Atteia:1977:EEM, author = "M. Atteia", title = "{\'E}valuation de l'erreur dans la m{\'e}thode des {\'e}l{\'e}ments finis. ({French}) [{Error} in the finite elements method]", journal = j-NUM-MATH, volume = "28", number = "3", pages = "295--306", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "UER Informatique, Univ. de Toulouse, Toulouse, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; finite element analysis; finite element method; interpolation; Kernels of Banach spaces", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Manteuffel:1977:TIN, author = "Thomas A. Manteuffel", title = "The {Tchebychev} iteration for nonsymmetric linear systems", journal = j-NUM-MATH, volume = "28", number = "3", pages = "307--327", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Sandia Labs., Livermore, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; Chebyshev approximation; Chebyshev polynomials; complex plane; iterative method; iterative methods; linear algebra; nonsymmetric linear systems; optimal iteration parameters", treatment = "A Application; T Theoretical or Mathematical", } @Article{Natterer:1977:RSG, author = "Frank Natterer", title = "{Regularisierung schlecht gestellter Probleme durch Projectionsverfahren}. ({German}) [{Regularization of ill-posed problems by projection methods}]", journal = j-NUM-MATH, volume = "28", number = "3", pages = "329--341", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:45:39 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290 (Numerical analysis); C1180 (Optimisation techniques); C4100 (Numerical analysis)", corpsource = "Univ. des Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic estimates; ill posed problems; numerical methods; optimal discretisation parameter; optimisation; projection methods", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Stoer:1977:RBQ, author = "J. Stoer", title = "On the relation between quadratic termination and convergence properties of minimization algorithms. {I}. Theory", journal = j-NUM-MATH, volume = "28", number = "3", pages = "343--366", month = sep, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Inst. f{\"u}r Angewandte Math. Statistik, Univ. Wurzburg, Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; minimisation; minimisation algorithms; nonquadratic functions; quadratic termination property", treatment = "T Theoretical or Mathematical", } @Article{Baptist:1977:RBQ, author = "P. Baptist and J. Stoer", title = "On the relation between quadratic termination and convergence properties of minimisation algorithms. {II}. Applications", journal = j-NUM-MATH, volume = "28", number = "4", pages = "367--391", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4190 (Other numerical methods)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Wurzburg, Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$n$-step quadratic convergence; conjugate gradient methods; convergence of numerical methods; minimisation; minimisation algorithms; quadratic termination property; rank-1-methods; rank-2-methods", treatment = "T Theoretical or Mathematical", } @Article{Redheffer:1977:FND, author = "Ray M. Redheffer", title = "{Fehlerabsch{\"a}tzung bei nichtlinearer Differentialgleichungen mit Hilfe linearer Differentialgleichungen}. ({German}) [{Error estimation in nonlinear problems by use of a family of linear differential inequalities}]", journal = j-NUM-MATH, volume = "28", number = "4", pages = "393--405", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:53:20 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error estimation; error statistics; linear differential inequalities; linearisation techniques; nonlinear differential equations; nonlinear problems solution; partial differential equation; partial differential equations; second order elliptic equation", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Gout:1977:EEI, author = "J. L. Gout", title = "Estimation de l'erreur d'interpolation d'{Hermite} dans {${\bf R}^n$}. ({French}) [{Estimation} of the {Hermite} interpolation error in {${\bf R}^n$}]", journal = j-NUM-MATH, volume = "28", number = "4", pages = "407--429", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Math., Univ. de Pau, Pau, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; error statistics; finite element analysis; finite element methods; Hermite interpolation error; Hermite interpolation polynomial; interpolation; open subset; polynomials; R/sup n/ error estimation; set theory; Taylor polynomial", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Brezzi:1977:EEF, author = "Franco Brezzi and William W. Hager and P. A. Raviart", title = "Error estimates for the finite element solution of variational inequalities. {I}. Primal theory", journal = j-NUM-MATH, volume = "28", number = "4", pages = "431--443", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Politecnico di Torino, Torino, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; error bounds; error estimates; error statistics; finite element analysis; finite element approximations; obstacle problem; unilateral problem; variational inequalities; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Nevanlinna:1977:BGE, author = "Olavi Nevanlinna", title = "On the behaviour of global errors at infinity in the numerical integration of stable initial value problems", journal = j-NUM-MATH, volume = "28", number = "4", pages = "445--454", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Inst. of Maths., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error statistics; global error; initial value problems; integration; linear multistep methods; nonlinear initial value problem; numerical analysis; numerical integration; trigonometric polynomial", treatment = "T Theoretical or Mathematical", } @Article{Hackbusch:1977:ELN, author = "W. Hackbusch", title = "Extrapolation to the limit for numerical solutions of hyperbolic equations", journal = j-NUM-MATH, volume = "28", number = "4", pages = "455--474", month = dec, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Maths. Inst. Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic expansion; extrapolation; hyperbolic equations; multi step method; non quasilinear systems; numerical methods; partial differential equations; quasilinear systems", treatment = "T Theoretical or Mathematical", } @Article{vanVeldhuizen:1977:NPP, author = "M. van Veldhuizen", title = "A Note on Partial Pivoting and {Gaussian} Elimination", journal = j-NUM-MATH, volume = "29", number = "1", pages = "1--10", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Wiskundig Seminarium, Vrije Univ., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "column pivoting; error analysis; Gaussian elimination; matrix algebra; partial pivoting; pivoting", treatment = "T Theoretical or Mathematical", } @Article{Scheurle:1977:SPI, author = "J{\"u}rgen Scheurle", title = "{Ein selektives Projektions-Iterationsverfahren und Anwendungen auf Verzweigungsprobleme}. ({German}) [{A selective projection-iteration method and bifurcation}]", journal = j-NUM-MATH, volume = "29", number = "1", pages = "11--35", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:46:42 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Math. Inst. A, Univ. Stuttgart, Stuttgart, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "abstract spaces; Banach space; bifurcation; boundary-value problems; convergence; convergence of numerical methods; eigenvalue; iterative methods; method; nonlinear equations; selective projection iteration; stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Miller:1977:RAS, author = "Webb Miller", title = "Roundoff analysis and sparse data", journal = j-NUM-MATH, volume = "29", number = "1", pages = "37--43", month = mar, year = "1977", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01389311", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Techniques are emerging which automatically determine the effects of rounding error upon numerical methods of a certain type. Meaningful testing presupposes a reasonable basis for comparison. Typically, the error's effects upon a given method are compared either (i) with the effects of perturbing the computational problem or (ii) with the effects of rounding error upon a competing method. We show that the result of a type (ii) comparison often remains valid when the two methods are adapted for ``sparse'' data, though the comparison might be based upon a model of error propagation which requires that special care be taken. This observation sometimes provides a rationale for preferring comparisons (ii), since the results of type (i) comparisons may well not carry over to sparse data.", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Univ. of California, Santa Barbara, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "comparisons; error analysis; error propagation; numerical methods; perturbing; rounding error; roundoff analysis; sparse data", treatment = "T Theoretical or Mathematical", } @Article{Drexler:1977:MBS, author = "Franz-Josef Drexler", title = "{Eine Methode zur Berechnung s{\"a}mtlicher L{\"o}sungen von Polynomgleichungssystemen}. ({German}) [{A method for computing all solutions of systems of polynomial equations}]", journal = j-NUM-MATH, volume = "29", number = "1", pages = "45--58", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:54:39 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "embedding; equation systems solutions; equations; polynomial equations; polynomials; set of systems", language = "German", treatment = "T Theoretical or Mathematical", } @Article{vonSydow:1977:EEG, author = "Bj{\"o}rn von Sydow", title = "Error estimates for {Gaussian} quadrature formulae", journal = j-NUM-MATH, volume = "29", number = "1", pages = "59--64", month = mar, year = "1977", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01389313", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "We derive both strict and asymtotic error bounds for the Gauss-Jacobi quadrature formula with respect to a general measure. The estimates involve the maximum modulus of the integrand on a contour in the complex plane. The methods are elementary complex analysis.", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Univ. of Lulea, Lulea, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex analysis; error analysis; Gauss--Jacobi quadrature formula; integration; maximum modulus; numerical analysis", treatment = "T Theoretical or Mathematical", } @Article{vonWelck:1977:SMP, author = "U. von Welck", title = "{Stabile Merhschichtverfahren f{\"u}r parabolische Evolutionsgleichungen}. ({German}) [{Stable multi-line methods for evolution equations of parabolic type}]", journal = j-NUM-MATH, volume = "29", number = "1", pages = "65--82", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:56:46 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Inst., Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach space; evolution equations; initial value problems; line method; multi line methods; nonlinear differential equations; parabolic; parabolic equations; root conditions; stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Owens:1977:ABA, author = "R. W. Owens", title = "An algorithm for best approximate solutions of {Ax}=b with a smooth strictly convex norm", journal = j-NUM-MATH, volume = "29", number = "1", pages = "83--91", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Lewis and Clark Coll., Portland, OR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solutions; approximation theory; convergence; convergence of numerical methods; convex norm; linear algebra; linear equations; linear system; smooth strictly convex norm", treatment = "T Theoretical or Mathematical", } @Article{Glashoff:1977:TNA, author = "K. Glashoff and E. Sachs", title = "On theoretical and numerical aspects of the bang-bang-principle", journal = j-NUM-MATH, volume = "29", number = "1", pages = "93--113", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1330 (Optimal control); C1340K (Nonlinear control systems)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bang bang principle; bang-bang control; boundary-value problems; conditions; Hilbert space; location; numerical method; numerical methods; optimal control; optimisation; parabolic boundary control problem; switching points; theoretical statements", treatment = "T Theoretical or Mathematical", } @Article{Tsao:1977:NIE, author = "Nai-Kuan Tsao", title = "{Newton} interpolation is efficient for approximation of linear functionals", journal = j-NUM-MATH, volume = "29", number = "1", pages = "115--122", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Wayne State Univ., Detroit, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; functional equations; interpolation; linear functionals; Newton interpolation; numerical differentiation; numerical interpolation; Vandermonde systems", treatment = "T Theoretical or Mathematical", } @Article{Braess:1977:ENP, author = "Dietrich Braess", title = "{{\"U}ber die Einzugsbereiche der Nullstellen von Polynomen beim Newton-Verfahren}. ({German}) [{On the regions of attraction when computing the roots of polynomials with the {Newton-method}}]", journal = j-NUM-MATH, volume = "29", number = "1", pages = "123--132", month = mar, year = "1977", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 23:01:25 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Math., Ruhr-Univ. Bochum, Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analogue; attraction regions; convergence of numerical methods; Newton method; poles and zeros; polynomial; polynomials; roots; zero", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Spence:1978:EBE, author = "Alastair Spence", title = "Error bounds and estimates for eigenvalues of integral equations", journal = j-NUM-MATH, volume = "29", number = "2", pages = "133--147", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "School of Math., Univ. of Bath, Bath, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computable error bounds; dominant error terms; eigenvalues; eigenvalues and eigenfunctions; error analysis; integral equations; nonsymmetric kernels", treatment = "T Theoretical or Mathematical", } @Article{Hartung:1978:SIP, author = "Joachim Hartung", title = "A stable interior penalty method for convex extremal problems", journal = j-NUM-MATH, volume = "29", number = "2", pages = "149--158", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques)", corpsource = "Univ. Bonn, Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convex extremal problems; interior penalty method; minimisation; stable", treatment = "T Theoretical or Mathematical", } @Article{Kolata:1978:AVP, author = "William G. Kolata", title = "Approximation in variationally posed eigenvalue problems", journal = j-NUM-MATH, volume = "29", number = "2", pages = "159--171", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80a:49077", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Statistics and Computer Sci., American Univ., Washington, DC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; bounds; eigenvalue problems; eigenvalues and eigenfunctions; error; error analysis; Ritz Galerkin approximation; variationally posed", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1978:CAS, author = "C. Brezinski", title = "Convergence acceleration of some sequences by the $\epsilon$-algorithm", journal = j-NUM-MATH, volume = "29", number = "2", pages = "173--177", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "UER d'IEEA-Informatique, Univ. de Lille I, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "acceleration; converge; convergence of numerical methods; epsilon-algorithm; sequences", treatment = "T Theoretical or Mathematical", } @Article{Cromme:1978:SUF, author = "Ludwig Cromme", title = "Strong uniqueness: a far-reaching criterion for the convergence analysis of iterative procedures", journal = j-NUM-MATH, volume = "29", number = "2", pages = "179--193", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Numerische und Angewandte Math., Univ. G{\"o}ttingen, G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence analysis; convergence of numerical methods; iterative methods; iterative procedures; strong uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Kilberth:1978:IBM, author = "K. Kilberth", title = "{Iterative Berechnung mehrfacher L{\"o}sungen von Hammersteinschen Integralgleichungen}. ({German}) [{Iterative calculation of multiple solutions of {Hammerstein} integral equations}]", journal = j-NUM-MATH, volume = "29", number = "2", pages = "195--207", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 23:02:45 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Zentralinst. f{\"u}r Angewandte Math. der Kernforschungsanlage Julich GmbH, Julich, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error estimate; global convergent; Hammerstein integral equations; implicit iteration; integral equations; iterative methods; multiple solutions", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Beyn:1978:SDS, author = "Wulf-J{\"u}rgen Beyn", title = "{Zur Stabilit{\"a}t von Differenzenverfahren f{\"u}r Systeme linearer gew{\"o}hnlicher Randwertaufgaben}. ({German}) [{On the stability of difference approximations to systems of linear ordinary boundary value problems}]", journal = j-NUM-MATH, volume = "29", number = "2", pages = "209--226", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 23:04:14 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Numerische und Instrumentelle Math., Univ. M{\"u}nster, M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; difference approximations; linear ordinary boundary value problems; stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Claessens:1978:UIR, author = "G. Claessens", title = "A useful identity for the rational {Hermite} interpolation table", journal = j-NUM-MATH, volume = "29", number = "2", pages = "227--231", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Antwerp, Wilrijk, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "interpolation; rational Hermite interpolation table; star identity", treatment = "T Theoretical or Mathematical", } @Article{Morita:1978:CCE, author = "Tohru Morita", title = "Calculation of the complete elliptic integrals with complex modulus", journal = j-NUM-MATH, volume = "29", number = "2", pages = "233--236", month = jan, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Sci., Faculty of Engng., Tohoku Univ., Sendai, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complete elliptic integrals; complex modulus; integration", treatment = "T Theoretical or Mathematical", } @Article{Allgower:1978:NMM, author = "E. L. Allgower and S. F. McCormick", title = "{Newton}'s method with mesh refinements for numerical solution of nonlinear two-point boundary value problems", journal = j-NUM-MATH, volume = "29", number = "3", pages = "237--260", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Colorado State Univ., Fort Collins, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence of numerical methods; mesh refinement strategy; Newton methods; nonlinear two point boundary valued problems; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Field:1978:EBC, author = "David A. Field", title = "Error bounds for continued fractions {$K(1/b_n)$}", journal = j-NUM-MATH, volume = "29", number = "3", pages = "261--267", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Coll. of the Holy Cross, Worcester, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex error function; continued fractions error bounds; error analysis", treatment = "T Theoretical or Mathematical", } @Article{Turkel:1978:EMD, author = "Eli Turkel", title = "Extrapolation methods for dynamic partial differential equations", journal = j-NUM-MATH, volume = "29", number = "3", pages = "269--285", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Courant Inst. of Math. Sci., New York Univ., New York, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; dynamic partial differential equations; extrapolation; finite difference schemes; partial differential equations; Runge Kutta method", treatment = "T Theoretical or Mathematical", } @Article{Henderson:1978:NMS, author = "D. S. Henderson and A. Wassyng", title = "A new method for the solution of {Ax}=b", journal = j-NUM-MATH, volume = "29", number = "3", pages = "287--289", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Appl. Math., Univ. of the Witwatersrand, Johannesburg, South Africa", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Gauss elimination method; matrix algebra; numerical analysis", treatment = "T Theoretical or Mathematical", } @Article{Porsching:1978:EEM, author = "T. A. Porsching", title = "Error estimates for {MAC}-like approximations to the linear {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "29", number = "3", pages = "291--306", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods); B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math. and Statistics, Univ. of Pittsburgh, Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; error analysis; linear Navier Stokes equations; Navier--Stokes equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Shieh:1978:CCG, author = "A. S. L. Shieh", title = "On the convergence of the conjugate gradient method for singular capacitance matrix equations from the {Neumann} problem of the {Poisson} equation", journal = j-NUM-MATH, volume = "29", number = "3", pages = "307--327", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0210 (Algebra, set theory, and graph theory); B0290B (Error analysis in numerical methods); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Math. Res. Center, Univ. of Wisconsin-Madison, Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; conjugate gradient method convergence; convergence of numerical methods; matrix algebra; partial differential equations; singular capacitance matrix equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Meyer:1978:MLP, author = "Gunter H. Meyer", title = "The method of lines for {Poisson}'s equation with nonlinear or free boundary conditions", journal = j-NUM-MATH, volume = "29", number = "3", pages = "329--344", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Georgia Inst. of Technol., Atlanta, GA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary control problem; electrochemical machining; free boundary conditions; lines method; multipoint boundary conditions; nonlinear boundary equations; numerical methods; partial differential equation; partial differential equations; second order ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stenger:1978:OCM, author = "Frank Stenger", title = "Optimal convergence of minimum norm approximations in {$H_p$}", journal = j-NUM-MATH, volume = "29", number = "4", pages = "345--362", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; function approximation; minimum norm approximation convergence", treatment = "T Theoretical or Mathematical", } @Article{Spedicato:1978:SCV, author = "E. Spedicato and J. Greenstadt", title = "On some classes of variationally derived {quasi-Newton} methods for systems of nonlinear algebraic equations", journal = j-NUM-MATH, volume = "29", number = "4", pages = "363--380", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); C4150 (Nonlinear and functional equations)", corpsource = "Istituto di Matematica, Univ. di Bergamo, Bergamo, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebra; algorithms; nonlinear algebraic equations; nonlinear equations; numerical methods; variationally derived quasi Newton methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Albrecht:1978:OCM, author = "P. Albrecht", title = "On the order of composite multistep methods for ordinary differential equations", journal = j-NUM-MATH, volume = "29", number = "4", pages = "381--396", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Kernforschungsanlage, Julich, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "composite multistep methods order; convergence; cyclic k step method; differential equations; numerical methods; ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mastin:1978:TTR, author = "C. Wayne Mastin and Joe F. Thompson", title = "Transformation of three-dimensional regions onto rectangular regions by elliptic systems", journal = j-NUM-MATH, volume = "29", number = "4", pages = "397--407", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods); C4170 (Differential equations)", corpsource = "Inst. for Computer Applications, Mississippi State Univ., Mississippi State, MS, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; elliptic systems; flow; numerical methods; potential flow; three dimensional region transformation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hairer:1978:OID, author = "E. Hairer", title = "On the order of iterated defect correction --- an algebraic proof", journal = j-NUM-MATH, volume = "29", number = "4", pages = "409--424", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math., Univ. Innsbruck, Innsbruck, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Butcher series theory; differential equations; iterated defect correction order; linear one step method; Runge--Kutta methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stetter:1978:DCP, author = "Hans J. Stetter", title = "The defect correction principle and discretization methods", journal = j-NUM-MATH, volume = "29", number = "4", pages = "425--443", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Numerische Math., Tech. Univ. Wien, Wien, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithms; discretisation method defect correction principle; error correction; error estimation; extrapolation; iterative methods", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1978:IVC, author = "Walter Gautschi", title = "On inverses of {Vandermonde} and confluent {Vandermonde} matrices. {III}", journal = j-NUM-MATH, volume = "29", number = "4", pages = "445--450", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A12, 65F35", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Purdue Univ., Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic function theory; inverse confluent Vandermonde matrices; inverse Vandermonde matrix; matrix algebra; polynomials", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mittelmann:1978:ASN, author = "Hans-Detlef Mittelmann", title = "On the approximate solution of nonlinear variational inequalities", journal = j-NUM-MATH, volume = "29", number = "4", pages = "451--462", month = apr, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Fachbereich Math., Tech. Hochschule, Darmstadt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "coercive variational inequalities; error analysis; globally convergent relaxation method; nonlinear differential equations; nonlinear variational inequalities approximate solution; numerical methods; optimal error estimates", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wilkinson:1978:ASN, author = "J. H. Wilkinson", title = "The {Alston S. Householder Award}", journal = j-NUM-MATH, volume = "29", number = "4", pages = "463--463", month = apr, year = "1978", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01432882", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Mar 18 11:40:16 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", remark = "1977 Prize awarded to Daniel D. Warner (advisor W. Gragg), ``Hermite Interpolation with Rational Functions'', University of California, San Diego.", } @Article{Lee:1978:ANS, author = "J. W. Lee and P. M. Prenter", title = "An analysis of the numerical solution of {Fredholm} integral equations of the first kind", journal = j-NUM-MATH, volume = "30", number = "1", pages = "1--23", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Dept. of Math., Oregon State Univ., Corvallis, OR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "filtered least squares minimum norm solutions; Fredholm integral equations; integral equations; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Jeltsch:1978:SPB, author = "Rolf Jeltsch and L. Kratz", title = "On the stability properties of {Brown}'s multistep multiderivative methods", journal = j-NUM-MATH, volume = "30", number = "1", pages = "25--38", month = mar, year = "1978", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01403904", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Inst. of Math., Ruhr-Univ. Bochum, Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differentiation; multistep multiderivative methods; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Potempa:1978:MRQ, author = "H. Potempa", title = "{Modifizierte Restgliedabsch{\"a}tzungen f{\"u}r Quadraturformeln}. ({German}) [{Modified estimates for quadrature errors}]", journal = j-NUM-MATH, volume = "30", number = "1", pages = "39--50", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A55 (65D32)", MRnumber = "80d:41014", MRreviewer = "D. C. Handscomb", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Phys. Tech. Bundesanstalt, Braunschweig, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; quadrature errors", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Lyness:1978:GFS, author = "J. N. Lyness and P. Keast", title = "On $p$-generator fully symmetric quadrature rules", journal = j-NUM-MATH, volume = "30", number = "1", pages = "51--63", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30", MRnumber = "80f:65020", MRreviewer = "D. C. Handscomb", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Appl. Math. Div., Argonne Nat. Lab., Argonne, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p$ generator rules; hypersphere; integration; integration region; numerical analysis; product Gaussian rules; symmetric quadrature rules", treatment = "A Application; T Theoretical or Mathematical", } @Article{Menzel:1978:LPN, author = "Reinhard Menzel and Hubert Schwetlick", title = "{Zur L{\"o}sung parameterabh{\"a}ngiger nichtlinearer Gleichungen mit singul{\"a}ren Jacobi-Matrizen}. ({German}) [{On solving nonlinear equations depending on a real parameter in case of singular {Jacobians}}]", journal = j-NUM-MATH, volume = "30", number = "1", pages = "65--79", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 23:05:39 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Sektion Math., Tech. Univ., Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "curve point wise approximation; nonlinear equations; numerical methods; singular Jacobians; total derivative", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Natterer:1978:NIR, author = "Frank Natterer", title = "Numerical inversion of the {Radon} transform", journal = j-NUM-MATH, volume = "30", number = "1", pages = "81--91", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Univ. des Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "fast Fourier transform; least squares approximations; piecewise constant trial functions; Radon transform numerical inversion; transforms", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kupper:1978:EDZ, author = "Tassilo K{\"u}pper", title = "{Einschlie{\ss}ungsaussagen bei Differentialoperatoren zweiter Ordnung durch punktweise Ungleichungen}. ({German}) [{Range-domain implications for second order differential operators using pointwise inequalities}]", journal = j-NUM-MATH, volume = "30", number = "1", pages = "93--101", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J05 (47E05 65L99)", MRnumber = "80a:65108", MRreviewer = "Peter Deuflhard", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Math. Inst., Univ. zu Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differentiation; numerical methods; pointwise inequalities; second order differential operators", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Johnson:1978:SEF, author = "C. Johnson and B. Mercier", title = "Some equilibrium finite element methods for two-dimensional elasticity problems", journal = j-NUM-MATH, volume = "30", number = "1", pages = "103--116", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis); C7440 (Civil and mechanical engineering computing)", corpsource = "Dept. of Computer Sci., Chalmers Univ. of Technol., G{\"o}teborg, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "displacements; equilibrium finite element methods; finite element analysis; mechanical engineering computing; piecewise linear functions; stresses; two dimensional elasticity problems", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brunner:1978:DVI, author = "Hermann Brunner", title = "Discretization of {Volterra} integral equations of the first kind. {II}", journal = j-NUM-MATH, volume = "30", number = "2", pages = "117--136", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Dalhousie Univ., Halifax, NS, Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "first kind Volterra integral equations; integral equations; jump discontinuities; piecewise polynomials; strictly monotone Volterra integral operators; unified convergence analysis", treatment = "A Application; T Theoretical or Mathematical", } @Article{Forst:1978:IID, author = "Wilhelm Forst", title = "{Zur Interpolation und Integration differenzierbarer periodischer Funktionaleng}. ({German}) [{On interpolation and integration of differentiable periodic functions}]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "137--147", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 23:07:09 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Abteilung Math., Univ. Dortmund, Dortmund, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differentiable periodic function integration; differentiable periodic function interpolation; evaluation functional; integration; interpolation; periodic polynomial splines", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brombeer:1978:OQF, author = "R{\"u}diger Brombeer", title = "{{\"U}ber optimale Quadraturformeln mit freien Knoten zu Hilbertr{\"a}umen periodischer Funktionen}. ({German}) [{On optimal quadrature formulae with free nodes for {Hilbert}-spaces of periodic functions}]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "149--164", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Oct 24 12:49:23 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Mathematical analysis)", corpsource = "Fachbereich Math., Univ. Kaiserslautern, Kaiserslautern, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "equidistant node optimality; functional analysis; minimal norm quadrature formula; periodic function Hilbert space", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sautter:1978:FGE, author = "Werner Sautter", title = "{Fehleranalyse f{\"u}r die Gau{\ss}-Elimination zur Berechnung der L{\"o}sung minimaler L{\"a}nge}. ({German}) [{Error Analysis of {Gauss} Elimination for the Best Least Squares Problem}]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "165--184", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu May 29 22:08:03 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Math., Tech. Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; Gauss elimination error analysis; iterative methods; least squares approximations; least squares problem", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Witsch:1978:NQP, author = "Kristian Witsch", title = "{Numerische Quadratur bei Projektionsverfahren}. ({German}) [{Numerical quadrature in projection methods}]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "185--206", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65D30)", MRnumber = "80a:65236", MRreviewer = "J. G. Herriot", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence order; numerical analysis; projection methods", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wolf:1978:AEE, author = "R. Wolf", title = "{Asymptotische Entwicklungen f{\"u}r Eigenwerte und Eigenvektoren bei der Approximation parameternichtlinearer Eigenwertaufgaben}. ({German}) [{Asymptotic expansions for eigenvalues and eigenvectors in the approximation of eigenvalue problems depending nonlinearly on a parameter}]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "207--226", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:48:34 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich 3 Math., Tech. Univ., Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic expansions; eigenvalues and eigenfunctions; eigenvalues problem approximation; eigenvectors; extrapolation", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sablonniere:1978:BTS, author = "Paul Sablonni{\`e}re", title = "Bases de type {Schauder} de {$C[0,1]$} et formules de quadrature associ{\`e}es. ({French}) [{Bases} of {Schauder} type in {$C[0,1]$} and associated quadrature formulas]", journal = j-NUM-MATH, volume = "30", number = "2", pages = "227--240", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "IUT Informatique, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "associated quadrature formulas; function approximation", language = "French", treatment = "A Application; T Theoretical or Mathematical", } @Article{Saff:1978:ZPP, author = "E. B. Saff and R. S. Varga", title = "On the zeros and poles of {Pad{\'e}} approximants to $e^z$. {III}", journal = j-NUM-MATH, volume = "30", number = "3", pages = "241--266", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; function approximation; nonnegative integers; Pad{\'e} approximants; poles and zeros; Whittaker functions", treatment = "A Application; T Theoretical or Mathematical", } @Article{vanVeldhuizen:1978:HOM, author = "M. van Veldhuizen", title = "Higher order methods for a singularly perturbed problem", journal = j-NUM-MATH, volume = "30", number = "3", pages = "267--279", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Wiskundig Seminarium, Vrije Univ., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; finite element analysis; finite element method; piecewise polynomials; Radau quadrature; singularly perturbed problem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Graves:1978:NIF, author = "Jack Graves and P. M. Prenter", title = "Numerical iterative filters applied to first kind {Fredholm} integral equations", journal = j-NUM-MATH, volume = "30", number = "3", pages = "281--299", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (65F20)", MRnumber = "81f:65091", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Colorado State Univ., Fort Collins, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "first kind Fredholm integral equations; integral equations; iterative methods; linear system; singular value decompositions; Strand iterative filters", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wozniakowski:1978:REA, author = "H. Wo{\'z}niakowski", title = "Round-off error analysis of iterations for large linear systems", journal = j-NUM-MATH, volume = "30", number = "3", pages = "301--314", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Computer Sci., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "equations; error analysis; floating point arithmetic; Gauss Seidel iteration; iteration round off error analysis; iterative methods; residual vector; sparse linear systems", treatment = "A Application; T Theoretical or Mathematical", } @Article{Zenger:1978:IDS, author = "C. Zenger and H. Gietl", title = "Improved difference schemes for the {Dirichlet} problem of {Poisson}'s equation in the neighbourhood of corners", journal = j-NUM-MATH, volume = "30", number = "3", pages = "315--332", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Leibniz-Rechenzentrum, Bayerischen Akad. der Wissenschaften, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary values; boundary-value problems; difference equations; Dirichlet problem; partial differential equations; Poisson equation; polygonal domain", treatment = "A Application; T Theoretical or Mathematical", } @Article{Witsch:1978:PNVa, author = "Kristian Witsch", title = "{Projektive Newton-Verfahren bei elliptischen Randwertaufgaben}. ({German}) [{Projective Newton methods for elliptic boundary value problems}]", journal = j-NUM-MATH, volume = "30", number = "3", pages = "333--347", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "80b:65140", MRreviewer = "P. Laasonen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence of numerical methods; elliptic boundary value problems; error analysis; finite element analysis; linear equations; optimal convergence theorems; projective Newton methods; Ritz method", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brass:1978:MQG, author = "Helmut Bra{\ss}", title = "{Monotonie bei den Quadratureverfahren von Gau{\ss} und Newton--Cotes}. ({German}) [{Monotony in the quadrature rules of Gauss and Newton--Cotes}]", journal = j-NUM-MATH, volume = "30", number = "3", pages = "349--354", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Lehrstuhl E. f{\"u}r Math., Tech. Univ. Braunschweig, Braunschweig, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integral equations; numerical methods; quadrature rules monotony", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Good:1978:IST, author = "I. J. Good and T. N. Tideman", title = "Integration over a simplex, truncated cubes, and {Eulerian} numbers", journal = j-NUM-MATH, volume = "30", number = "4", pages = "355--367", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Virginia State Univ., Blacksburg, VA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; centroid method; discrete Fourier transform; Eulerian numbers; function integration; integration; numerical methods; simplex; truncated cubes", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gekeler:1978:AEE, author = "E. Gekeler", title = "A-priori error estimates of {Galerkin} backward differentiation methods in time-inhomogeneous parabolic problems", journal = j-NUM-MATH, volume = "30", number = "4", pages = "369--383", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. Stuttgart, Stuttgart, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a priori error estimate; differentiation; error analysis; Galerkin backward differentiation methods; linear ordinary differential equations; Lipschitz constant; mean square norm; parabolic partial differential equations; partial differential equations; time inhomogeneous parabolic problem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cash:1978:HOM, author = "J. R. Cash", title = "High order methods for the numerical integration of ordinary differential equations", journal = j-NUM-MATH, volume = "30", number = "4", pages = "385--409", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "80i:65078", MRreviewer = "W. H. Enright", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Maths., Imperial Coll. of Sci. and Technol., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithms; differential equations; high order method; integration; numerical integration; numerical methods; one step methods; ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cooper:1978:LFE, author = "G. J. Cooper and F. C. P. Whitworth", title = "{Liapunov} functions and error bounds for approximate solutions of ordinary differential equations", journal = j-NUM-MATH, volume = "30", number = "4", pages = "411--414", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "School of Math. and Phys. Sci., Univ. of Sussex, Brighton, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; error analysis; error bounds; Lyapunov functions; numerical methods; ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sloan:1978:PCR, author = "Ian H. Sloan and W. E. Smith", title = "Product-integration with the {Clenshaw--Curtis} and related points-convergence properties", journal = j-NUM-MATH, volume = "30", number = "4", pages = "415--428", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Appl. Maths. Dept., Univ. of New South Wales, Sydney, NSW, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; integral; integration; product integration method", treatment = "T Theoretical or Mathematical", } @Article{Majda:1978:SAC, author = "Andrew Majda and Stanley Osher", title = "A systematic approach for correcting nonlinear instabilities --- the {Lax--Wendroff} scheme for scalar conservation laws", journal = j-NUM-MATH, volume = "30", number = "4", pages = "429--452", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M10", MRnumber = "80g:65101", MRreviewer = "C. Bardos", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Maths., Univ. of California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; nonlinear instabilities; partial differential equations; scalar conservation laws", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wegmann:1978:IKA, author = "Rudolf Wegmann", title = "{Ein Iterationsverfahren zur konformen Abbildung}. ({German}) [{An iterative method in conformal mapping}]", journal = j-NUM-MATH, volume = "30", number = "4", pages = "453--466", month = dec, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:49:32 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Max-Planck-Inst. f{\"u}r Phys. and Astrophys., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary values; conformal mapping; integral equations; iterative method; iterative methods; Newton method; Riemann Hilbert method; singular integral equation", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brezzi:1978:EEF, author = "Franco Brezzi and William W. Hager and P.-A. Raviart", title = "Error estimates for the finite element solution of variational inequalities. {II}. Mixed methods", journal = j-NUM-MATH, volume = "31", number = "1", pages = "1--16", month = mar, year = "1978", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396010", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80b:65135", MRreviewer = "Georges A. Lebaud", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Politecnico di Torino, Torino, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error estimation; finite element analysis; variational inequalities finite element solution", treatment = "A Application; T Theoretical or Mathematical", } @Article{Belogus:1978:DIA, author = "David Belogus and Nadav Liron", title = "{DCR2}: an improved algorithm for $\ell_{\infty}$ rational approximation on intervals", journal = j-NUM-MATH, volume = "31", number = "1", pages = "17--29", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80a:65030", MRreviewer = "C. Dierieck", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; Chebyshev approximation; nonnegative integer", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bunch:1978:ROM, author = "James R. Bunch and Christopher P. Nielsen and Danny C. Sorensen", title = "Rank One Modification of the Symmetric Eigenproblem", journal = j-NUM-MATH, volume = "31", number = "1", pages = "31--48", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80g:65038", MRreviewer = "C. G. Cullen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of California, San Diego, La Jolla, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; eig; eigenvectors; matrix algebra; nla; perturbation analysis; perturbation techniques; symmetric eigenproblem rank one modification; symmetric matrix; updating", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bank:1978:EAS, author = "Randolph E. Bank", title = "Efficient algorithms for solving tensor product finite element equations", journal = j-NUM-MATH, volume = "31", number = "1", pages = "49--61", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80c:65199", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithms; finite difference approximations; finite element analysis; linear differential equations; Poisson equation; tensor product finite element equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Richter:1978:SPP, author = "Gerard R. Richter", title = "Superconvergence of piecewise polynomial {Galerkin} approximations, for {Fredholm} integral equations of the second kind", journal = j-NUM-MATH, volume = "31", number = "1", pages = "63--70", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80a:65273", MRreviewer = "P. M. Anselone", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Computer Sci., Rutgers State Univ. of New Jersey, New Brunswick, NJ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; integral equations; piecewise polynomial Galerkin approximations; second kind Fredholm integral equations; superconvergence properties", treatment = "A Application; T Theoretical or Mathematical", } @Article{Simpson:1978:NIS, author = "I. C. Simpson", title = "Numerical integration over a semi-infinite interval, using the lognormal distribution", journal = j-NUM-MATH, volume = "31", number = "1", pages = "71--76", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "81g:65028", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Math., Queen Mary Coll., Univ. of London, London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Gaussian formula; integration; lognormal distribution; lognormal weight function; numerical methods; orthogonal polynomials; semi infinite interval numerical integration", treatment = "A Application; T Theoretical or Mathematical", } @Article{Schultz:1978:AAN, author = "Reinhart Schultz", title = "{Ein Abstiegsverfahren f{\"u}r Approximationsaufgaben in normierten R{\"a}umen}. ({German}) [{A descent method for approximation problems in normed spaces}]", journal = j-NUM-MATH, volume = "31", number = "1", pages = "77--95", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Jun 01 11:50:53 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Seminar f{\"u}r Industriebetriebslehre and Organisation, Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; constrained approximation; extremal subgradients; normed linear spaces; numerical method; sublinear functional extremal subgradient", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Muhlbach:1978:GNA, author = "G. M{\"u}hlbach", title = "The general {Neville--Aitken-algorithm} and some applications", journal = j-NUM-MATH, volume = "31", number = "1", pages = "97--110", month = mar, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80a:65025", MRreviewer = "Marc Duc-Jacquet", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Praktische Math., Tech. Univ., Hannover, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function interpolation; functions combination; general Neville Aitken algorithm; interpolation; recurrence formula", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bunch:1978:USV, author = "James R. Bunch and Christopher P. Nielsen", title = "Updating the Singular Value Decomposition", journal = j-NUM-MATH, volume = "31", number = "2", pages = "111--129", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80m:65025", MRreviewer = "B. Levinger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of California, San Diego, La Jolla, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; least squares problem; matrix algebra; matrix rank; nla; singular value decomposition; svd; updating", treatment = "T Theoretical or Mathematical", } @Article{Mannshardt:1978:OSM, author = "Reinhold Mannshardt", title = "One-step methods of any order for ordinary differential equations with discontinuous right-hand sides", journal = j-NUM-MATH, volume = "31", number = "2", pages = "131--152", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80b:65101", MRreviewer = "Steven M. Serbin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Rechenzentrum, Ruhr-Univ., Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; differential equations; iterative methods; Newton iteration scheme; one step method; ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wolfe:1978:EIM, author = "M. A. Wolfe", title = "Extended iterative methods for the solution of operator equations", journal = j-NUM-MATH, volume = "31", number = "2", pages = "153--174", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80a:65126", MRreviewer = "U. Tippenhauer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Appl. Math., Univ. of St. Andrews, St. Andrews, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach space; functional equations; iterative methods; operator equations", treatment = "A Application; G General Review", } @Article{Zlatev:1978:SPV, author = "Zahari Zlatev", title = "Stability properties of variable stepsize variable formula methods", journal = j-NUM-MATH, volume = "31", number = "2", pages = "175--182", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80b:65107", MRreviewer = "Steven M. Serbin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. of Copenhagen, Copenhagen, Denmark", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; differential equations; first order differential equations; variable stepsize variable formula methods; zero stability class", treatment = "T Theoretical or Mathematical", } @Article{Manteuffel:1978:APE, author = "Thomas A. Manteuffel", title = "Adaptive procedure for estimating parameters for the nonsymmetric {Tchebychev} iteration", journal = j-NUM-MATH, volume = "31", number = "2", pages = "183--208", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80d:65047", MRreviewer = "C. A. Hall", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Appl. Math. Div., Sandia Labs., Livermore, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; eigenvalues; large sparse nonsymmetric linear systems; nonsymmetric Chebyshev approximation; polynomials", treatment = "A Application; T Theoretical or Mathematical", } @Article{Witsch:1978:PNVb, author = "Kristian Witsch", title = "{Projektive Newton-Verfahren und Anwendungen auf nichtlineare Randwertaufgaben}. ({German}) [{Projective Newton methods and applications to nonlinear boundary value problems}]", journal = j-NUM-MATH, volume = "31", number = "2", pages = "209--230", month = jun, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80a:65160", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence order; nonlinear boundary value problems; nonlinear differential equations; numerical methods; projective Newton method", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Blum:1978:NSE, author = "E. K. Blum and P. B. Geltner", title = "Numerical solution of eigentuple-eigenvector problems in {Hilbert} spaces by a gradient method", journal = j-NUM-MATH, volume = "31", number = "3", pages = "231--246", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80a:65071a", MRreviewer = "Jacques Lemordant", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Southern California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalue eigenvector problem; gradient method; Hilbert space; matrix algebra; numerical methods; Sturm Liouville equation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Blum:1978:CGM, author = "E. K. Blum and A. R. Curtis", title = "A convergent gradient method for matrix eigenvector-eigentuple problems", journal = j-NUM-MATH, volume = "31", number = "3", pages = "247--263", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80a:65071b", MRreviewer = "Jacques Lemordant", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Southern California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergent gradient method; eigenvalues and eigenfunctions; matrix algebra; matrix eigenvector eigentuple; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Neumann:1978:CNM, author = "M. Neumann and R. J. Plemmons", title = "Convergent Nonnegative Matrices and Iterative Methods for Consistent Linear Systems", journal = j-NUM-MATH, volume = "31", number = "3", pages = "265--279", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80b:65047", MRreviewer = "L. W. Ehrlich", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Nottingham, Nottingham, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "coefficients matrix; equations; ergodic Markov chain; iter; iterative methods; linear system; Markov chain; matrix algebra; nla; nonnegative iteration matrices; nonnegative matrix; projection matrix; stationary distribution vector", treatment = "A Application; T Theoretical or Mathematical", } @Article{Schmid:1978:CFM, author = "Hans Joachim Schmid", title = "On cubature formulae with a minimal number of knots", journal = j-NUM-MATH, volume = "31", number = "3", pages = "281--297", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80a:65058", MRreviewer = "Thomas A. Atchison", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Univ. Erlangen-N{\"u}rnberg, Erlangen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Gaussian quadrature; knots minimal number; polynomials", treatment = "A Application; T Theoretical or Mathematical", } @Article{Davies:1978:ASP, author = "M. Davies and B. Dawson", title = "An automatic search procedure for finding real zeros", journal = j-NUM-MATH, volume = "31", number = "3", pages = "299--312", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80a:65097", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis)", corpsource = "Dept. of Math., Univ. of Surrey, Guildford, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "automatic search procedure; function evaluation; iterative algorithm; iterative methods; Laguerre formula", treatment = "A Application; T Theoretical or Mathematical", } @Article{Schmidt:1978:EIE, author = "Jochen W. Schmidt", title = "{Einschlie{\ss}ung inverser Elemente durch Fixpunktverfahren}. ({German}) [{Enclosing of inverse elements by fixed-points methods}]", journal = j-NUM-MATH, volume = "31", number = "3", pages = "313--320", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80a:65112", MRreviewer = "U. Tippenhauer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Sektion Math., Tech. Univ. Dresden, Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; fixed point method; linear algebra; numerical methods", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Werner:1978:GKV, author = "Jochen Werner", title = "{{\"U}ber die globale Konvergenz von Variable-Metrik-Verfahren mit nicht-exakter Schrittweitenbestimmung}. ({German}) [{On the global convergence of variable metric algorithms without exact line searches}]", journal = j-NUM-MATH, volume = "31", number = "3", pages = "321--334", month = sep, year = "1978", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80c:65131", MRreviewer = "D. J. van Wyk", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Lehrstuhle f{\"u}r Numerische und Angewandte Math., Univ. G{\"o}ttingen, G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; function approximation; global convergence; step function; variable metric algorithm", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Beauwens:1979:FIM, author = "Robert Beauwens", title = "Factorization iterative methods, ${M}$-operators and ${H}$-operators", journal = j-NUM-MATH, volume = "31", number = "4", pages = "335--357", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "81e:65014", MRreviewer = "J. Milota", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Beauwens:1986:EIM}.", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "Faculte des Sci. Appl., Univ. Libre de Bruxelles, Bruxelles, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "factorisation iterative methods; H-operator; iterative methods; M-operator", mynote = "Note: nothing on (block) diagonal dominance. No interest.", treatment = "T Theoretical or Mathematical", } @Article{Rentrop:1979:TSM, author = "P. Rentrop", title = "A {Taylor} series method for the numerical solution of two-point boundary value problems", journal = j-NUM-MATH, volume = "31", number = "4", pages = "359--375", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80c:65171", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Math., Tech. Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; chemistry; nonlinear shell theory; shooting algorithm; superconductivity; Taylor series method; two point boundary value problem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Craven:1979:SND, author = "Peter Craven and Grace Wahba", title = "Smoothing noisy data with spline functions. Estimating the correct degree of smoothing by the method of generalized cross-validation", journal = j-NUM-MATH, volume = "31", number = "4", pages = "377--403", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "81g:65018", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/handbook.prob.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in {\AA ke Bj\"orck}'s bibliography on least squares, which is available by anonymous ftp from {\tt math.liu.se} in {\tt pub/references}.", classification = "C4130 (Interpolation and function approximation)", corpsource = "Computer Lab., Univ. of Liverpool, Liverpool, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "generalised cross validation method; na; smoothing; spline; spline function; splines (mathematics)", treatment = "A Application; T Theoretical or Mathematical", } @Article{Shieh:1979:FPS, author = "A. S. L. Shieh", title = "Fast {Poisson} solvers on general two-dimensional regions for the {Dirichlet} problem", journal = j-NUM-MATH, volume = "31", number = "4", pages = "405--429", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80d:65110", MRreviewer = "B. Kellogg", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; capacitance matrix method; Dirichlet problem; discrete dipoles; numerical methods; partial differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Schittkowski:1979:FMS, author = "K. Schittkowski and J. Stoer", title = "A Factorization Method for the Solution of Constrained Linear Least Squares Problems Allowing Subsequent Data Changes", journal = j-NUM-MATH, volume = "31", number = "4", pages = "431--463", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "80c:65129", MRreviewer = "C. A. Botsaris", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math. und Statistik, Univ. Wurzburg, Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constrained linear least squares problems; constraints; factorisation method; Gram--Schmidt algorithm; least squares approximations; lsq; nla; numerical methods; qrd; subsequent data changes; updating", treatment = "A Application; T Theoretical or Mathematical", } @Article{Norsett:1979:OCR, author = "Syvert P. N{\o}rsett and Arne Wolfbrandt", title = "Order conditions for {Rosenbrock} type methods", journal = j-NUM-MATH, volume = "32", number = "1", pages = "1--15", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "80c:65153", MRreviewer = "H. Brunner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Norges Teckniske H{\o}gskole, Inst. for Numerisk Matematik, Univ. Trondheim, Trondheim, Norway", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Butcher series; differential equations; Jacobian dependent coefficients; local error estimate; numerical methods; order conditions; Rosenbrock type methods; Runga Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Weber:1979:NBV, author = "Helmut Weber", title = "{Numerische Behandlung von Verzweigungsproblemen bei gew{\"o}hnlichen Differentialgleichungen}. ({German}) [{Numerical treatment of bifurcation problems for ordinary differential equations}]", journal = j-NUM-MATH, volume = "32", number = "1", pages = "17--29", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34C99)", MRnumber = "80i:65086", MRreviewer = "G. H. Meyer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Johannes Gutenberg-Univ., Mainz, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bifurcation problems; boundary-value problems; difference methods; differential equations; Lyapunov Schmidt theory; multiple shooting; numerical solution; ordinary differential equations; regular nonlinear boundary value problems", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Wagenfuhrer:1979:BCE, author = "E. Wagenf{\"u}hrer and H. Lang", title = "{Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung durch numerische Integration}. ({German}) [{On calculating the characteristic exponent of the finite {Hill} differential equation by numerical integration}]", journal = j-NUM-MATH, volume = "32", number = "1", pages = "31--50", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L07", MRnumber = "80c:65162", MRreviewer = "H. Brunner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Fachbereich Math., Univ. Regensburg, Regensburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "characteristic exponent; differential equations; error analysis; finite Hill differential equation; integration; numerical integration; parameters; Taylor method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Seydel:1979:NCBa, author = "R{\"u}diger Seydel", title = "Numerical computation of branch points in ordinary differential equations", journal = j-NUM-MATH, volume = "32", number = "1", pages = "51--68", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "80g:65097", MRreviewer = "J. Hurt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Tech. Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problem; boundary-value problems; branch points; branching; nonlinear differential equations; nontrivial solution; numerical method; ordinary differential equations", treatment = "T Theoretical or Mathematical", } @Article{Georg:1979:CII, author = "Kurt Georg", title = "On the convergence of an inverse iteration method for nonlinear elliptic eigenvalue problems", journal = j-NUM-MATH, volume = "32", number = "1", pages = "69--74", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N25", MRnumber = "80f:65110", MRreviewer = "D. M. Young, Jr.", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A5225 (Plasma properties)", corpsource = "Inst. f{\"u}r Angewandte Math., Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "certain potential; convergence; convergence of numerical methods; eigenvalues and eigenfunctions; inverse iteration method; iterative methods; local maximum; nonlinear elliptic eigenvalue problems; plasma physics; plasma theory; theoretical justification", treatment = "T Theoretical or Mathematical", } @Article{Crouzeix:1979:SMR, author = "Michel Crouzeix", title = "Sur la ${B}$-stabilit{\'e} des m{\'e}thodes de {Runge--Kutta}. ({French}) [{On} the ${B}$-stability of {Runge--Kutta} Methods]", journal = j-NUM-MATH, volume = "32", number = "1", pages = "75--82", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "80f:65081", MRreviewer = "J. C. Butcher", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. de Math. et Informatique, Univ. de Rennes, Rennes-Beaulieu, Rennes, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "B-stability; Butcher; convergence of numerical methods; differential equations; Runge--Kutta methods", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Hackbusch:1979:FSN, author = "Wolfgang Hackbusch", title = "On the fast solutions of nonlinear elliptic equations", journal = j-NUM-MATH, volume = "32", number = "1", pages = "83--95", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20", MRnumber = "80b:65128", MRreviewer = "J. R. Kuttler", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; fast solutions; nonlinear boundary value problems; nonlinear differential equations; nonlinear elliptic equations; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Schomberg:1979:MCI, author = "Hermann Schomberg", title = "Monotonically convergent iterative methods for nonlinear systems of equations", journal = j-NUM-MATH, volume = "32", number = "1", pages = "97--104", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20", MRnumber = "80b:65130", MRreviewer = "J. R. Kuttler", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Philips GmbH Forschungslab. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence of numerical methods; Gauss Seidel iteration; iterative methods; Jacobi underrelaxation method; monotonically convergent iterative methods; natural underrelaxation method; nonlinear elliptic boundary value problems; nonlinear systems of equations; numerical methods; partial differential equations; successive underrelaxation method", treatment = "T Theoretical or Mathematical", } @Article{Conrad:1979:AMS, author = "V. Conrad and Y. Wallach", title = "Alternating methods for sets of linear equations", journal = j-NUM-MATH, volume = "32", number = "1", pages = "105--108", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (15A09)", MRnumber = "80b:65042", MRreviewer = "B. Levinger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Faculty of Electrical Engng., Technion-Israel Inst. of Technol., Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "alternating methods; Gauss Seidel iteration; iterative methods; Jacobi methods; linear equations; SSOR algorithm", treatment = "T Theoretical or Mathematical", } @Article{Kearfott:1979:EDC, author = "Baker Kearfott", title = "An efficient degree-computation method for a generalized method of bisection", journal = j-NUM-MATH, volume = "32", number = "2", pages = "109--127", month = jun, year = "1979", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01404868", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J05 (65H05); 65H10 (Systems of nonlinear equations (numerical methods)); 55M25 (Degree, winding number)", MRnumber = "80g:65062", MRreviewer = "Romesh Saigal", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", ZMnumber = "0386.65016", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Southwestern Louisiana, Lafayette, LA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bisection generalised method; efficient degree-computation; matrix algebra; method of bisection; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Luecke:1979:NPC, author = "Glenn R. Luecke", title = "A numerical procedure for computing the {Moore--Penrose} inverse", journal = j-NUM-MATH, volume = "32", number = "2", pages = "129--137", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20", MRnumber = "80h:65024", MRreviewer = "S. F. McCormick", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Iowa State Univ., Ames, IA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A orthogonal set; algorithm; matrix algebra; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Spence:1979:EBE, author = "Alastair Spence", title = "Error bounds and estimates for eigenvalues of integral equations. {II}", journal = j-NUM-MATH, volume = "32", number = "2", pages = "139--146", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "80c:65254", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "School of Math., Univ. of Bath, Bath, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues; error bounds; integral equations; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Multhei:1979:SBDa, author = "H. N. M{\"u}lthei", title = "{Splineapproximationen von beliebigem Defekt zur numerischen L{\"o}sung gew{\"o}hnlicher Differentialgleichungen. {I}}. ({German}) [{Spline approximations of arbitrary defect for the numerical solution of ordinary differential equations. I}]", journal = j-NUM-MATH, volume = "32", number = "2", pages = "147--157", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (65D07)", MRnumber = "80i:65085a", MRreviewer = "B. I. Kvasov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Fachbereich Math., Johannes Gutenberg-Univ., Mainz, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary defect spline approximation; convergence of numerical methods; differential equations; divergence; first order ordinary differential equations; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{VanderCruyssen:1979:ROA, author = "P. {Van der Cruyssen}", title = "A reformulation of {Olver}'s algorithm for the numerical solution of second-order linear difference equations", journal = j-NUM-MATH, volume = "32", number = "2", pages = "159--166", month = jun, year = "1979", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01404872", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Q05", MRnumber = "80c:65241", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Antwerp, Wilrijk, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; difference equations; differential equations; second order difference equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Jeltsch:1979:SSS, author = "Rolf Jeltsch", title = "${A}_{0}$-stability and stiff stability of Brown's multistep multiderivative methods", journal = j-NUM-MATH, volume = "32", number = "2", pages = "167--181", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "80i:65083", MRreviewer = "J. D. Lambert", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Inst., Ruhr-Univ. Bochum, Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A/sub 0/ stability; initial value problems; multistep multiderivative method; partial differential equations; stiff stability", treatment = "A Application; T Theoretical or Mathematical", } @Article{Midy:1979:EMQ, author = "P. Midy and Y. Yakovlev", title = "An extrapolation method for the quadrature of functions with singularities in the vicinity of the interval of integration", journal = j-NUM-MATH, volume = "32", number = "2", pages = "183--196", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30", MRnumber = "80h:65010", MRreviewer = "Helmut Bra{\ss}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Centre de Calcul Paris Sud Informatique, Univ. Paris XI, Orsay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "extrapolation; function quadrature; integration", treatment = "A Application; T Theoretical or Mathematical", } @Article{Voigt:1979:MLN, author = "Alexander Voigt", title = "The method of lines for nonlinear parabolic differential equations with mixed derivatives", journal = j-NUM-MATH, volume = "32", number = "2", pages = "197--207", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M10 (65N10)", MRnumber = "80e:65087", MRreviewer = "Todd Dupont", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Inst. I, Univ. Karlsruhe, Karlsruhe, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence theorem; lines method; Minkowski matrix; monotonicity method; nonlinear parabolic differential equation; partial differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kesavan:1979:MKA, author = "S. Kesavan", title = "La m{\'e}thode de {Kikuchi} appliqu{\'e}e aux {\'e}quations de {von K{\'a}rm{\'a}n}. ({French}) [{Kikuchi}'s Method Applied to {von K{\'a}rm{\'a}n}'s Equations]", journal = j-NUM-MATH, volume = "32", number = "2", pages = "209--232", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65P05 (65N30 73H05)", MRnumber = "80f:65132", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Iria-Lab., Le Chesnay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; iterative finite element method; Kikuchi method; partial differential equations; von Karman equations", language = "French", treatment = "A Application; T Theoretical or Mathematical", } @Article{Chatelin:1979:BEP, author = "Fran{\c{c}}oise Chatelin", title = "Sur les bornes d'erreur a posteriori pour les {\'e}l{\'e}ments propres d'op{\'e}rateurs lin{\'e}aires. ({French}) [{On} the a posteriori error bounds for the proper elements of linear operators]", journal = j-NUM-MATH, volume = "32", number = "3", pages = "233--246", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (47A70 65R20)", MRnumber = "81d:65027", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Math. Appl., Univ. de Grenoble, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; linear operators; spectral projection", language = "French", treatment = "A Application; T Theoretical or Mathematical", } @Article{Apprato:1979:EFR, author = "D. Apprato and R. Arcang{\'e}li and J. L. Gout", title = "Sur les {\'e}l{\'e}ments finis rationnels de {Wachspress}. ({French}) [{On} the finite rational elements of {Wachspress}]", journal = j-NUM-MATH, volume = "32", number = "3", pages = "247--270", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (41A20)", MRnumber = "81h:65109", MRreviewer = "Pierre Lesaint", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Dept. de Math., Faculte des Sci. Exactes., Pau, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; finite element analysis; interpolation error", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Razzaghi:1979:CSM, author = "M. Razzaghi", title = "A computational solution for a matrix {Riccati} differential equation", journal = j-NUM-MATH, volume = "32", number = "3", pages = "271--279", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L99 (65L99 93C15)", MRnumber = "80e:65085", MRreviewer = "Bernard Lemaire", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Faculty of Sci. and Computer, Tehran Polytech., Tehran, Egypt", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; conjugate point; differential equations; matrix algebra; numerical methods; Riccati equation; transition matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Schafer:1979:FEN, author = "Eugen Sch{\"a}fer", title = "{Fehlerabsch{\"a}tzungen f{\"u}r Eigenwertn{\"a}herungen nach der Ersatzkernmethode bei Integralgleichungen}. ({German}) [{Error estimates for eigenvalues of integral equations computed by approximate kernel methods}]", journal = j-NUM-MATH, volume = "32", number = "3", pages = "281--290", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "80e:65129", MRreviewer = "Ulrich Kosel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Math. Inst., Ludwig-Maximilian-Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; error estimate; integral equations; kernel method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{ElTom:1979:BCF, author = "M. E. A. {El Tom}", title = "On best cubature formulas and spline interpolation", journal = j-NUM-MATH, volume = "32", number = "3", pages = "291--306", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (41A55 65D32)", MRnumber = "80e:41007", MRreviewer = "C. de Boor", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "School of Math. Sci., Univ. of Khartoum, Khartoum, Sudan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cubature; monospline; splines (mathematics); weight function", treatment = "T Theoretical or Mathematical", } @Article{Jackiewicz:1979:CMM, author = "Zdzis{\l}aw Jackiewicz", title = "Convergence of multistep methods for {Volterra} functional differential equations", journal = j-NUM-MATH, volume = "32", number = "3", pages = "307--332", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "81a:65126", MRreviewer = "V. Sree Hari Rao", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. of Math., Gdansk Univ., Gdansk, Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; differential equations; quasilinear multistep method; Volterra functional differential equation", treatment = "T Theoretical or Mathematical", } @Article{Werner:1979:VON, author = "Wilhelm Werner", title = "{{\"U}ber ein Verfahren der Ordnung $1+\sqrt{2}$ zur Nullstellenbestimmung}. ({German}) [{On} a method of order $1+\sqrt{2}$ for determining zeros]", journal = j-NUM-MATH, volume = "32", number = "3", pages = "333--342", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "83f:65075", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Fachbereich Math., Johannes Gutenberg-Univ. Mainz, Mainz, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; nonlinear differential equations; R order convergence", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Multhei:1979:SBDb, author = "Heinrich N. M{\"u}lthei", title = "{Splineapproximationen von beliebigem Defekt zur numerischen L{\"o}sung gew{\"o}hnlicher Differentialgleichungen. {II}}. ({German}) [{Spline approximations of arbitrary defect for the numerical solution of ordinary differential equations}]", journal = j-NUM-MATH, volume = "32", number = "3", pages = "343--358", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (65D07)", MRnumber = "80i:65085b", MRreviewer = "B. I. Kvasov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Fachbereich Math., Johannes Gutenberg-Univ. Mainz, Mainz, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence theorem; differential equations; divergence theorem; initial value problems; splines (mathematics)", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Chung:1979:AZT, author = "Soon Park Chung", title = "An algorithm for the zeros of transcendental functions", journal = j-NUM-MATH, volume = "32", number = "4", pages = "359--371", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "80k:65042", MRreviewer = "W. M. Kincaid", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Michigan, Dearborn, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; function approximation; polynomial zero; transcendental function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hairer:1979:USM, author = "E. Hairer", title = "Unconditionally stable methods for second order differential equations", journal = j-NUM-MATH, volume = "32", number = "4", pages = "373--379", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "80f:65082", MRreviewer = "C. W. Gear", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math., Univ. Innsbruck, Innsbruck, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; linear multistep method; numerical methods; second order differential equation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sprekels:1979:PIF, author = "J{\"u}rgen Sprekels and Heinrich Voss", title = "Pointwise inclusions of fixed points by finite-dimensional iteration schemes", journal = j-NUM-MATH, volume = "32", number = "4", pages = "381--392", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (65R20)", MRnumber = "80f:65069", MRreviewer = "J. Sprekels", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "discretization technique; finite dimensional iteration; integral equations; iterative methods; nonlinear integral equation; pointwise bound", treatment = "A Application; T Theoretical or Mathematical", } @Article{Muhlbach:1979:GRR, author = "G. M{\"u}hlbach", title = "The general recurrence relation for divided differences and the general {Newton-interpolation-algorithm} with applications to trigonometric interpolation", journal = j-NUM-MATH, volume = "32", number = "4", pages = "393--408", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05", MRnumber = "80i:65012", MRreviewer = "David R. Hill", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Praktische Math. der Tech. Univ., Welfengarten, Hannover, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "divided difference; general recurrence relation; interpolation; Newton interpolation algorithm; trigonometric interpolation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Tsao:1979:EAS, author = "Nai-Kuan Tsao", title = "Error analysis of splitting algorithms for polynomials", journal = j-NUM-MATH, volume = "32", number = "4", pages = "409--421", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65G05", MRnumber = "80i:65047", MRreviewer = "W. B{\"o}rsch-Supan", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Computer Sci., Wayne State Univ., Detroit, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational complexity; error analysis; polynomials; single precision arithmetic; splitting algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Opfer:1979:NEP, author = "Gerhard Opfer", title = "New extremal properties for constructing conformal mappings", journal = j-NUM-MATH, volume = "32", number = "4", pages = "423--429", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30 (30C70)", MRnumber = "80h:30009", MRreviewer = "D. Gaier", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; conformal mapping; extremal properties; holomorphic function; linear programming", treatment = "A Application; T Theoretical or Mathematical", } @Article{Natterer:1979:IAR, author = "Frank Natterer", title = "On the inversion of the attenuated {Radon} transform", journal = j-NUM-MATH, volume = "32", number = "4", pages = "431--438", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R10", MRnumber = "80e:65122", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Fachbereich 10, Univ. des Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "attenuated Radon transform; transforms", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wolfe:1979:CAD, author = "Jerry M. Wolfe", title = "On the convergence of an algorithm for discrete {$L_p$} approximation", journal = j-NUM-MATH, volume = "32", number = "4", pages = "439--459", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15", MRnumber = "80i:65021", MRreviewer = "G. A. Watson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Oregon, Eugene, OR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; convergence; convergence of numerical methods; discrete L/sub p/ approximation; function approximation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Chenin:1979:RIE, author = "Patrick Chenin", title = "Une repr{\'e}sentation int{\'e}grale de l'erreur d'interpolation. ({French}) [{An} integral representation of interpolation error]", journal = j-NUM-MATH, volume = "32", number = "4", pages = "461--479", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (41A05)", MRnumber = "80j:65007", MRreviewer = "Marc Duc-Jacquet", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Univ. Sci. et M{\'e}dicale, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; interpolation; interpolation error", language = "French", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bauer:1979:ES, author = "F. L. Bauer and G. H. Golub and A. S. Householder and K. Samelson", title = "{Eduard L. Stiefel}: 4/21/1909--11/27/1978", journal = j-NUM-MATH, volume = "32", number = "4", pages = "480--481", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "01A70", MRnumber = "82e:01083", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "With a German translation.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Carlson:1979:CEI, author = "B. C. Carlson", title = "Computing elliptic integrals by duplication", journal = j-NUM-MATH, volume = "33", number = "1", pages = "1--16", month = mar, year = "1979", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396491", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D20", MRnumber = "80h:65008", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Logarithms, arctangents, and elliptic integrals of all three kinds (including complete integrals) are evaluated numerically by successive applications of the duplication theorem. When the convergence is improved by including a fixed number of terms of Taylor's series, the error ultimately decreases by a factor of 4096 in each cycle of iteration. Except for Cauchy principal values there is no separation of cases according to the values of the variables, and no serious cancellations occur if the variables are real and nonnegative. Only rational operations and square roots are required. An appendix contains a recurrence relation and two new representations (in terms of elementary symmetric functions and power sums) for $R$-polynomials, as well as an upper bound for the error made in truncating the Taylor series of an $R$-function.", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Dept. of Math. and Phys., Iowa Univ., Ames, IA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; duplication theory; elliptic integral; integration; numerical methods; R-polynomial; Taylor series", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hammerlin:1979:EBA, author = "G{\"u}nther H{\"a}mmerlin and Larry L. Schumaker", title = "Error bounds for the approximation of {Green}'s kernels by splines", journal = j-NUM-MATH, volume = "33", number = "1", pages = "17--22", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R10", MRnumber = "80m:65087", MRreviewer = "J. Sprekels", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Math. Inst. der Ludwig-Maximilians-Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; error bound; splines (mathematics); tensor product splines", treatment = "A Application; T Theoretical or Mathematical", } @Article{Rannacher:1979:NFE, author = "Rolf Rannacher", title = "Nonconforming finite element methods for eigenvalue problems in linear plate theory", journal = j-NUM-MATH, volume = "33", number = "1", pages = "23--42", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K25)", MRnumber = "80i:65124", MRreviewer = "R. A. Nicolaides", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Bonn, Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error; eigenvalue; finite element analysis; Hilbert space; linear plate theory; partial differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Louis:1979:ACF, author = "Alfred Louis", title = "Acceleration of convergence for finite element solutions of the {Poisson} equation", journal = j-NUM-MATH, volume = "33", number = "1", pages = "43--53", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "81i:65091", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. des Saarlandes, Angewandte Mathematik und Informatik, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convex polyhedral domair; finite element analysis; integration domain; partial differential equations; Poisson equation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kaps:1979:GRK, author = "Peter Kaps and Peter Rentrop", title = "Generalized {Runge--Kutta} methods of order four with stepsize control for stiff ordinary differential equations", journal = j-NUM-MATH, volume = "33", number = "1", pages = "55--68", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "80g:65084", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math., Univ. Innsbruck, Innsbruck, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; Runge--Kutta methods; stiff ordinary differential equation; truncation error", treatment = "A Application; T Theoretical or Mathematical", } @Article{Chocholaty:1979:NMB, author = "Pavel Chocholaty and L'udom{\'i}r {\v{S}}lahor", title = "A numerical method to boundary value problems for second order delay differential equations", journal = j-NUM-MATH, volume = "33", number = "1", pages = "69--75", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (34K10)", MRnumber = "81i:65065", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Numerical Math., Comenius Univ., Bratislava, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; differential equations; numerical methods; second order delay differential equation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hock:1979:AEM, author = "Wilhelm Hock", title = "Asymptotic expansions for multistep methods applied to nonlinear {Volterra} integral equations of the second kind", journal = j-NUM-MATH, volume = "33", number = "1", pages = "77--100", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "80i:65155", MRreviewer = "Charles Saltzer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Angewandte Math. und Statistik, Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integral equations; linear multistep method; midpoint rule; nonlinear Volterra integral equation; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Barrow:1979:EAS, author = "D. L. Barrow and P. W. Smith", title = "Efficient {$L_2$} approximation by splines", journal = j-NUM-MATH, volume = "33", number = "1", pages = "101--114", month = mar, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (41A50)", MRnumber = "80i:41010", MRreviewer = "Donald Kershaw", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; fixed function; L/sub 2/ approximation; splines (mathematics)", treatment = "A Application; T Theoretical or Mathematical", } @Article{Deuflhard:1979:SCC, author = "P. Deuflhard", title = "A stepsize control for continuation methods and its special application to multiple shooting techniques", journal = j-NUM-MATH, volume = "33", number = "2", pages = "115--146", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (65L10)", MRnumber = "81b:65043", MRreviewer = "Kurt Georg", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Heidelberg, Heidelberg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; boundary-value problems; multiple shooting techniques; numerical methods; stepsize control", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stynes:1979:SST, author = "Martin Stynes", title = "A simplification of {Stenger}'s topological degree formula", journal = j-NUM-MATH, volume = "33", number = "2", pages = "147--155", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "55M25 (65H10)", MRnumber = "80m:55002", MRreviewer = "T. Y. Li", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. Coll., Cork, Ireland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "matrix algebra; numerical methods; polyhedron; topological degree formula", treatment = "A Application; T Theoretical or Mathematical", } @Article{Veselic:1979:CJL, author = "K. Veseli{\'c}", title = "On a class of {Jacobi}-like procedures for diagonalizing arbitrary real matrices", journal = j-NUM-MATH, volume = "33", number = "2", pages = "157--172", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "80m:65032", MRreviewer = "Ludwig Elsner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. Dortmund, Dortmund, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; arbitrary real matrices; Jacobi diagonalisation; matrix algebra; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Veselic:1979:NCE, author = "K. Veseli{\'c}", title = "On a new class of elementary matrices", journal = j-NUM-MATH, volume = "33", number = "2", pages = "173--180", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (15A12)", MRnumber = "80m:65033", MRreviewer = "Ludwig Elsner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. of Dortmund, Dortmund, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "diagonalisation algorithm; elementary matrices; matrix algebra; numerical methods; plane rotation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Greenbaum:1979:CSU, author = "A. Greenbaum", title = "Comparison of splittings used with the conjugate gradient algorithm", journal = j-NUM-MATH, volume = "33", number = "2", pages = "181--193", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "80k:65035", MRreviewer = "E. R. Hansen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Lawrence Livermore Lab., Univ. of California, Livermore, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradient algorithm; linear algebra; numerical methods; sharp upper bound; splittings", treatment = "A Application; T Theoretical or Mathematical", } @Article{Ishihara:1979:MFE, author = "Kazuo Ishihara", title = "On the mixed finite element approximation for the buckling of plates", journal = j-NUM-MATH, volume = "33", number = "2", pages = "195--210", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73H05)", MRnumber = "80k:65090", MRreviewer = "R. Kodn{\'a}r", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Faculty of Sci., Ehime Univ., Matsuyama, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; mixed finite element approximation; partial differential equations; piecewise linear polynomial; plates buckling", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bercovier:1979:EEF, author = "M. Bercovier and O. Pironneau", title = "Error estimates for finite element method solution of the {Stokes} problem in the primitive variables", journal = j-NUM-MATH, volume = "33", number = "2", pages = "211--224", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "81g:65145", MRreviewer = "Todd Dupont", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "School of Appl. Sci., Univ. of Jerusalem, Givat Ram, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error estimate; finite element analysis; partial differential equations; Stokes equation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Henrici:1979:BFI, author = "Peter Henrici", title = "Barycentric formulas for interpolating trigonometric polynomials and their conjugates", journal = j-NUM-MATH, volume = "33", number = "2", pages = "225--234", month = jun, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (42A15 42A38)", MRnumber = "80m:65009", MRreviewer = "Marc Duc-Jacquet", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugates; interpolation; numerical methods; polynomials; trigonometric polynomial", treatment = "A Application; T Theoretical or Mathematical", } @Article{Girault:1979:AMF, author = "V. Girault and P. A. Raviart", title = "An analysis of a mixed finite element method for the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "33", number = "3", pages = "235--271", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35Q10)", MRnumber = "81a:65100", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. Pierre et Marie Curie, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; mixed finite element method; Navier Stokes equations; optimal error bound; partial differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Pitkaranta:1979:BSF, author = "Juhani Pitk{\"a}ranta", title = "Boundary subspaces for the finite element method with {Lagrange} multipliers", journal = j-NUM-MATH, volume = "33", number = "3", pages = "273--289", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "82b:65138", MRreviewer = "P. G. Ciarlet", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary subspace; finite element analysis; integration; Lagrange multiplier; Sobolev space", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mooney:1979:DCP, author = "J. W. Mooney and H. Voss and B. Werner", title = "The dependence of critical parameter bounds on the monotonicity of a {Newton} sequence", journal = j-NUM-MATH, volume = "33", number = "3", pages = "291--301", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "35J60 (47H12 58C15 65J15)", MRnumber = "81c:35049", MRreviewer = "Theodore Laetsch", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Glasgow Coll. of Technol., Glasgow, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; critical parameter bound; Newton sequence monotonicity", treatment = "A Application; T Theoretical or Mathematical", } @Article{Meyer-Spasche:1979:NAM, author = "Rita {Meyer-Spasche}", title = "A note on the approximation of mildly nonlinear {Dirichlet} problems by finite differences", journal = j-NUM-MATH, volume = "33", number = "3", pages = "303--313", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N10", MRnumber = "80m:65070", MRreviewer = "V. Thom{\'e}e", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Max-Planck-Inst. f{\"u}r Plasmaphys., Garching, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; difference equations; integration; mildly nonlinear Dirichlet problem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Carlson:1979:ECI, author = "David Carlson and Biswa Nath Datta", title = "On the effective computation of the inertia of a {non-Hermitian} matrix", journal = j-NUM-MATH, volume = "33", number = "3", pages = "315--322", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A18 (65F15)", MRnumber = "80k:15013", MRreviewer = "F. Szidarovszky", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Math. Dept., Oregon State Univ., Corvallis, OR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Hessenberg matrix; inertia; matrix algebra; nonhermitian matrix; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Arndt:1979:LGD, author = "Herbert Arndt", title = "{L{\"o}sung von gew{\"o}hnlichen Differentialgleichungen mit nichtlinearen Splines}. ({German}) [{Solution of ordinary differential equations with nonlinear splines}]", journal = j-NUM-MATH, volume = "33", number = "3", pages = "323--338", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "81b:65064", MRreviewer = "Matti M{\"a}kel{\"a}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Numerische Math., M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; nonlinear splines; ordinary differential equations; splines (mathematics)", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Seydel:1979:NCBb, author = "R{\"u}diger Seydel", title = "Numerical computation of branch points in nonlinear equations", journal = j-NUM-MATH, volume = "33", number = "3", pages = "339--352", month = sep, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (55M20 58C15)", MRnumber = "80m:65044", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Inst. f{\"u}r Math., Tech. Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "branch point; nonlinear equations; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hopkins:1979:KMD, author = "T. R. Hopkins and D. E. Roberts", title = "{Kufarev}'s method for determining the {Schwarz--Christoffel} parameters", journal = j-NUM-MATH, volume = "33", number = "4", pages = "353--365", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30", MRnumber = "80j:30012", MRreviewer = "D. Gaier", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", corpsource = "Math. Inst., Univ. of Kent, Canterbury, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conformal mapping; Kufarev's method; numerical determination; numerical methods; polygonal domains; Schwarz Christoffel integral; topology", treatment = "T Theoretical or Mathematical", } @Article{Amara:1979:EFE, author = "M. Amara and J. M. Thomas", title = "Equilibrium finite elements for the linear elastic problem", journal = j-NUM-MATH, volume = "33", number = "4", pages = "367--383", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K25)", MRnumber = "81b:65096", MRreviewer = "Ranbir S. Sandhu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity); A4630C (Elasticity)", corpsource = "Centre de Math. Appl., {\'E}cole Polytech., Palaiseau, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "elasticity; equilibrium finite element methods; error bounds; finite element analysis; linear elastic problem; stress tensor; stresses", treatment = "T Theoretical or Mathematical", } @Article{Kioustelidis:1979:DFT, author = "John B. Kioustelidis", title = "A derivative-free transformation preserving the order of convergence of iteration methods in case of multiple zeros", journal = j-NUM-MATH, volume = "33", number = "4", pages = "385--389", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "81a:65050", MRreviewer = "W. Niethammer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Nat. Tech. Univ. of Athens, Athens, Greece", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; derivative free transformation; iteration methods; iterative methods; multiple zeros; order of convergence; transforms", treatment = "T Theoretical or Mathematical", } @Article{Miel:1979:UEA, author = "George J. Miel", title = "Unified error analysis for {Newton-type} methods", journal = j-NUM-MATH, volume = "33", number = "4", pages = "391--396", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15", MRnumber = "81m:65095", MRreviewer = "L. Collatz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math. Sci., Univ. of Nevada, Las Vegas, NV, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error bound; iterative methods; Newton type methods", treatment = "T Theoretical or Mathematical", } @Article{Glowinski:1979:MFE, author = "R. Glowinski and O. Pironneau", title = "On a mixed finite element approximation of the {Stokes} problem. {I}. Convergence of the approximate solutions", journal = j-NUM-MATH, volume = "33", number = "4", pages = "397--424", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "83e:65174", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340G (Fluid dynamics: general mathematical aspects); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Domaine de Voluceau, Rocquencourt, Le Chesnay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; finite element analysis; finite element approximation; Navier--Stokes equations; Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{Veselic:1979:QCJ, author = "K. Veseli{\'c} and H. J. Wenzel", title = "A quadratically convergent {Jacobi}-like method for real matrices with complex eigenvalues", journal = j-NUM-MATH, volume = "33", number = "4", pages = "425--435", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "80m:65034", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Univ. Dortmund, Dortmund, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex eigenvalues; diagonalisation algorithm; Jacobi like method; matrix algebra; numerical methods; real matrices", treatment = "T Theoretical or Mathematical", } @Article{Ellacott:1979:ACM, author = "S. W. Ellacott", title = "On the approximate conformal mapping of multiply connected domains", journal = j-NUM-MATH, volume = "33", number = "4", pages = "437--446", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30 (65E05)", MRnumber = "80j:30011", MRreviewer = "D. Gaier", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Brighton Polytech., Brighton, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate conformal mapping; function approximation; mappings; multiply connected domains; topology", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1979:DIE, author = "I. Babu{\v{s}}ka and R. B. Kellogg and J. Pitk{\"a}ranta", title = "Direct and inverse error estimates for finite elements with mesh refinements", journal = j-NUM-MATH, volume = "33", number = "4", pages = "447--471", month = dec, year = "1979", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "81c:65054", MRreviewer = "Reinhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; elliptic boundary value problem; error analysis; error estimates; finite element analysis; finite elements; mesh refinements; polygonal domain; weighted Besov spaces", treatment = "T Theoretical or Mathematical", } @Article{Greig:1980:ISN, author = "D. M. Greig and M. A. Abd-el-Naby", title = "Iterative solutions of nonlinear initial value differential equations in {Chebyshev} series using {Lie} series", journal = j-NUM-MATH, volume = "34", number = "1", pages = "1--13", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34A45)", MRnumber = "81d:65036", MRreviewer = "William A. Beyer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Durham, Durham, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; Chebyshev series; initial value problems; iterative methods; Knapp and Wanner method; Lie series; Lipschitz constant; nonlinear differential equations; scalar equations; Taylor series", treatment = "A Application; T Theoretical or Mathematical", } @Article{Diaz:1980:CDP, author = "F. Utreras Diaz", title = "Sur le choix du param{\`e}tre d'ajustement dans le lissage par fonctions spline. ({French}) [{On} the choice of the adjustment parameter in smoothing by spline functions]", journal = j-NUM-MATH, volume = "34", number = "1", pages = "15--28", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D10 (65D07)", MRnumber = "83c:65024", MRreviewer = "S. Dubuc", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lab. de Math. Appl., Univ. Sci. et M{\'e}dicale, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; differential operator; eigenvalues; function approximation; generalized cross validation method; natural polynomial smoothing splines; noisy data; real interval; smoothing parameter; Sobolev space; spline function; splines (mathematics)", language = "French", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sprekels:1980:EBS, author = "J{\"u}rgen Sprekels", title = "Exact bounds for the solution branches of nonlinear eigenvalue problems", journal = j-NUM-MATH, volume = "34", number = "1", pages = "29--40", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (47H17)", MRnumber = "81i:65049", MRreviewer = "Peter Lancaster", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach space ordering; eigenvalues and eigenfunctions; exact bounds; nonlinear eigenvalue; stable branch; thermal ignition; unstable branch", treatment = "A Application; T Theoretical or Mathematical", } @Article{Babuska:1980:AFE, author = "I. Babu{\v{s}}ka and J. Osborn", title = "Analysis of finite element methods for second order boundary value problems using mesh dependent norms", journal = j-NUM-MATH, volume = "34", number = "1", pages = "41--62", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "81g:65143", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "abstract convergence; bilinear form; boundary-value problems; finite element analysis; mesh dependent norms; partial differential equations; quasiuniform mesh; second order boundary value problems; Sobolev norm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Potra:1980:SEB, author = "Florian-A. Potra and Vlastimil Pt{\'a}k", title = "Sharp error bounds for {Newton}'s process", journal = j-NUM-MATH, volume = "34", number = "1", pages = "63--72", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J05 (58C15 65H10)", MRnumber = "81c:65027", MRreviewer = "Mari{\'a}n Fabian", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Nat. Inst. for Sci. and Tech. Creation, Bucharest, Romania", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; complete metric space; Newton process; nondiscrete induction; sharp error bound", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mokhtar-Kharroubi:1980:CTM, author = "H. Mokhtar-Kharroubi", title = "Sur la convergence th{\'e}orique de la m{\'e}thode du gradient r{\'e}duit g{\'e}n{\'e}ralis{\'e}. ({French}) [{On} the theoretical convergence of the reduced generalized gradient method]", journal = j-NUM-MATH, volume = "34", number = "1", pages = "73--85", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (90C30)", MRnumber = "81k:65074", MRreviewer = "Wolfgang Wetterling", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; convergence of numerical methods; generalized reduced gradient method; linear constraint; theoretical convergence", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Greig:1980:SMS, author = "D. M. Greig and M. A. Abd-el-Naby", title = "A series method for solving nonlinear two-point boundary value problems", journal = j-NUM-MATH, volume = "34", number = "2", pages = "87--98", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (34A45)", MRnumber = "81f:65060", MRreviewer = "Pietro Marzulli", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Durham, Durham, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic complexity; boundary-value problems; Lie series; nonlinear boundary value problem; scalar second order equations; series method; Taylor expansion", treatment = "A Application; T Theoretical or Mathematical", } @Article{Locher:1980:DDM, author = "F. Locher", title = "{Dividierte Differenzen und Monotonie von Quadraturformeln}. ({German}) [{Divided differences and monotony of quadrature formulas}]", journal = j-NUM-MATH, volume = "34", number = "2", pages = "99--109", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (41A55)", MRnumber = "81h:65016", MRreviewer = "Helmut Bra{\ss}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Fachbereich Math., Fernuniv.-Gesamthochschule, Hagen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "definiteness; difference equations; linear functional; monotony; positivity", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bohl:1980:CTN, author = "Erich Bohl", title = "Chord techniques and {Newton}'s method for discrete bifurcation problems", journal = j-NUM-MATH, volume = "34", number = "2", pages = "111--124", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05 (39A12 58F14 65L15)", MRnumber = "81c:65022", MRreviewer = "J{\"u}rgen Scheurle", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Fakult{\"a}t f{\"u}r Math., Univ. Konstanz, Konstanz, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "chord methods; differential equations; discrete bifurcation problems; Newton method; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hammerlin:1980:PKA, author = "G{\"u}nther H{\"a}mmerlin and Larry L. Schumaker", title = "Procedures for kernel approximation and solution of {Fredholm} integral equations of the second kind", journal = j-NUM-MATH, volume = "34", number = "2", pages = "125--141", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (41A15 65-04)", MRnumber = "81a:65122", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4180 (Integral equations); C4240 (Programming and algorithm theory)", corpsource = "Math. Inst., Ludwig-Maximilians-Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "ALGOL; computational complexity; eigenvalues and eigenfunctions; Fredholm integral equation; integral equations; kernel approximation; optimal order error bound; splines (mathematics); tensor product spline", treatment = "A Application; T Theoretical or Mathematical", } @Article{Multhei:1980:SBD, author = "Heinrich N. M{\"u}lthei", title = "{Splineapproximationen von beliebigem Defekt zur numerischen L{\"o}sung gew{\"o}hnlicher Differentialgleichungen. {III}}. ({German}) [{Spline approximations of arbitrary defect for the numerical solution of ordinary differential equations. {III}}]", journal = j-NUM-MATH, volume = "34", number = "2", pages = "143--154", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "82f:65079", MRreviewer = "B. I. Kvasov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Johannes Gutenberg-Univ., Mainz, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; differential equations; divergence theorem; initial value problems; ordinary differential equation; rounding error; splines (mathematics); unstable two-step method", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Thron:1980:ACL, author = "W. J. Thron and H. Waadeland", title = "Accelerating convergence of limit periodic continued fractions ${K}(a_{n}/1)$", journal = j-NUM-MATH, volume = "34", number = "2", pages = "155--170", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30B70 (40A15)", MRnumber = "81e:30008", MRreviewer = "Kh. {\u{I}}. Kuchm\=\i ns\cprime ka", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Colorado, Boulder, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; convergence acceleration; convergence of numerical methods; limit periodic continued fraction", treatment = "A Application; T Theoretical or Mathematical", } @Article{Yserentant:1980:MLE, author = "Harry Yserentant", title = "{Die Mehrstellenformeln f{\"u}r den Laplaceoperator}. ({German}) [{The {Hermitian} formulas for {Laplace}'s operator}]", journal = j-NUM-MATH, volume = "34", number = "2", pages = "171--187", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N05", MRnumber = "81h:65101", MRreviewer = "Kristian Witsch", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Math., RWTH Aachen, Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "discretization point; Hermitian formula; Laplace operator; linear differential equations; numerical methods; original right hand; partial differential equations; weighted right hand", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Yamamoto:1980:EBC, author = "Tetsuro Yamamoto", title = "Error bounds for computed eigenvalues and eigenvectors", journal = j-NUM-MATH, volume = "34", number = "2", pages = "189--199", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (15A42 65H10)", MRnumber = "82b:65028", MRreviewer = "Ludwig Elsner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Ehime Univ., Matsuyama, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; eigenpair; eigenvalues and eigenfunctions; eigenvalues and eigenvector; error analysis; la; linear algebra; nla; pert; real matrices; rigorous error bound", treatment = "A Application; T Theoretical or Mathematical", } @Article{Schulzendorff:1980:RZB, author = "Bernd Schulzendorff", title = "{Regul{\"a}re Zerlegungen und Berechnung des Spektralradius nichtnegativer Matrizen}. ({German}) [{Regular} splittings and computation of the spectral radius of nonnegative matrices]", journal = j-NUM-MATH, volume = "34", number = "2", pages = "201--216", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "83h:65051", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Fakult{\"a}t f{\"u}r Math. und Informatik, Univ. Mannheim, Mannheim, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iterative methods; matrix algebra; maximal quotient iteration method; nonnegative matrices; Rayleigh quotient iteration method; spectral radius", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Dittrich:1980:MCS, author = "Susanne Dittrich and Wolfgang Hackbusch", title = "A method of characteristics solving the initial-boundary value problem of a hyperbolic differential equation of second order", journal = j-NUM-MATH, volume = "34", number = "3", pages = "217--234", month = sep, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M25", MRnumber = "81f:65067", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Rechenzentrum, Univ. Dusseldorf, Dusseldorf, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arguments; characteristics method; hyperbolic differential equation; initial value problems; numerical methods; partial differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cash:1980:ISS, author = "J. R. Cash", title = "On the integration of stiff systems of {O}.{D}.{E}.s using extended backward differentiation formulae", journal = j-NUM-MATH, volume = "34", number = "3", pages = "235--246", month = sep, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "82d:65056", MRreviewer = "W. H. Enright", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; differential equations; extended backward differentiation formulae; integration; numerical methods; ordinary differential equation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hansen:1980:GOU, author = "Eldon Hansen", title = "Global optimization using interval analysis --- the multi-dimensional case", journal = j-NUM-MATH, volume = "34", number = "3", pages = "247--270", month = sep, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (65G10 90C30)", MRnumber = "81f:65049", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Lockheed Missiles and Space Co., Sunnyvale, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation; global minimum; interval analysis; numerical methods; twice continuously differentiable function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Niethammer:1980:NAE, author = "Wilhelm Niethammer", title = "Numerical application of {Euler}'s series transformation and its generalizations", journal = j-NUM-MATH, volume = "34", number = "3", pages = "271--283", month = sep, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B99", MRnumber = "81g:65003", MRreviewer = "Y. L. Luke", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Praktische Math., Univ. Karlsruhe, Karlsruhe, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; Euler series transformation; nonlinear generalization; numerical methods; recursive algorithm; series (mathematics); two parametric method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Crandall:1980:MFS, author = "Michael Crandall and Andrew Majda", title = "The method of fractional steps for conservation laws", journal = j-NUM-MATH, volume = "34", number = "3", pages = "285--314", month = sep, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M10 (35L65)", MRnumber = "81j:65101", MRreviewer = "Darrell L. Hicks", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Univ. of Wisconsin, Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "fractional steps method; function approximation; Lax Wendroff method; numerical methods; scalar conservation laws; Strang splitting algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{ContesseB:1980:CCM, author = "Luis {Contesse B.}", title = "Une caract{\'e}risation compl{\`e}te des minima locaux en programmation quadratique. ({French}) [{A} complete characterization of local minima in quadratic programming]", journal = j-NUM-MATH, volume = "34", number = "3", pages = "315--332", month = sep, year = "1980", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396705", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C20 (65K05)", MRnumber = "81j:90095", MRreviewer = "W. B{\"o}rsch-Supan", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques)", corpsource = "Dept. de Matematicas, Facultad de Ciencias Fisicas y Matematicas, Univ. de Chile, Santiago, Chile", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "local minima; quadratic objective function; quadratic programming", language = "French", treatment = "A Application; T Theoretical or Mathematical", } @Article{Delahaye:1980:APS, author = "Jean-Paul Delahaye", title = "Algorithmes pour suites non convergentes. ({French}) [{Algorithms} for nonconvergent sequences]", journal = j-NUM-MATH, volume = "34", number = "3", pages = "333--347", month = sep, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B99 (40A05 65K99)", MRnumber = "81f:65005", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "UERIEEA, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithms; approximation theory; cluster points", language = "French", treatment = "A Application; T Theoretical or Mathematical", } @Article{Greenberg:1980:ALD, author = "Harold Greenberg", title = "An algorithm for a linear {Diophantine} equation and a problem of {Frobenius}", journal = j-NUM-MATH, volume = "34", number = "4", pages = "349--352", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "10B05", MRnumber = "81k:10026", MRreviewer = "S. P. Mohanty", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Statistics, Tel-Aviv Univ., Ramat-Aviv, Tel-Aviv, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Frobenius algorithm; linear algebra; linear diophantine equation; positive integers", treatment = "A Application; T Theoretical or Mathematical", } @Article{Nelson:1980:CTD, author = "P. {Nelson, Jr.} and H. D. {Victory, Jr.}", title = "Convergence of two-dimensional {Nystr{\"o}m} discrete-ordinates in solving the linear transport equation", journal = j-NUM-MATH, volume = "34", number = "4", pages = "353--370", month = dec, year = "1980", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01403674", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "82A70 (65D30 82-08)", MRnumber = "84h:82074", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Numerical Transport Theory, Dept. of Math., Texas Tech. Univ., Lubbock, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "angular flux; convergence of numerical methods; integro-differential equations; linear transport equation; Nystr{\"o}m discrete ordinates; quadrature points", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cash:1980:NNS, author = "J. R. Cash", title = "A note on the numerical solution of linear recurrence relations", journal = j-NUM-MATH, volume = "34", number = "4", pages = "371--386", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Q05", MRnumber = "81g:65174", MRreviewer = "J. Myron Hood", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Imperial Coll., South Kensington, London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; linear algebra; linear recurrence relation; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sloan:1980:PIC, author = "Ian H. Sloan and William E. Smith", title = "Product integration with the {Clenshaw--Curtis} points: implementation and error estimates", journal = j-NUM-MATH, volume = "34", number = "4", pages = "387--401", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30", MRnumber = "81g:65030", MRreviewer = "C. W. Clenshaw", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "School of Math., Univ. of New South Wales, Kensington, NSW, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Clenshaw Curtis point; error analysis; error estimates; integration; product integration rule", treatment = "A Application; T Theoretical or Mathematical", } @Article{Milaszewicz:1980:GSR, author = "J. P. Milaszewicz", title = "A generalization of the {Stein--Rosenberg} theorem to {Banach} spaces", journal = j-NUM-MATH, volume = "34", number = "4", pages = "403--409", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (47B55)", MRnumber = "81m:65087", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. de Matematica, Ciudad Univ., Buenos Aires, Argentina", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach space; function approximation; normal reproducing cone; Perron theorem; semicontinuous function; Stein Rosenberg theorem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Jochum:1980:NSI, author = "Peter Jochum", title = "The numerical solution of the inverse {Stefan} problem", journal = j-NUM-MATH, volume = "34", number = "4", pages = "411--429", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N99 (65N25)", MRnumber = "82j:65089", MRreviewer = "Robert Pearson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; inverse Stefan problem; nonlinear approximation theory; quadratic convergence; variables scaling", treatment = "A Application; T Theoretical or Mathematical", } @Article{Meyer:1980:SNI, author = "D. Meyer and K. Veseli{\'c}", title = "On some new inclusion theorems for the eigenvalues of partitioned matrices", journal = j-NUM-MATH, volume = "34", number = "4", pages = "431--437", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A42 (65F15)", MRnumber = "81j:15017", MRreviewer = "Petr Liebl", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Grevenhauser Weg, Ratingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "classical Gershgorin circle; eigenvalues and eigenfunctions; inclusion theorem; partitioned matrices eigenvalues", treatment = "A Application; T Theoretical or Mathematical", } @Article{Jittorntrum:1980:SUS, author = "Krisorn Jittorntrum and M. R. Osborne", title = "Strong uniqueness and second-order convergence in nonlinear discrete approximation", journal = j-NUM-MATH, volume = "34", number = "4", pages = "439--455", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15 (90C30)", MRnumber = "81k:65018", MRreviewer = "G. C. Barozzi", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Math. Dept., Chieng mai Univ., Cieng mai, Thailand", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; Gauss Newton algorithm; local geometry; nonlinear discrete approximation; polyhedral norm; second order convergence; strong uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Hadeler:1980:ECP, author = "K. P. Hadeler", title = "Effective computation of periodic orbits and bifurcation diagrams in delay equations", journal = j-NUM-MATH, volume = "34", number = "4", pages = "457--467", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L99 (34K15 65Q05)", MRnumber = "81g:65117", MRreviewer = "David R. Hill", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Elfving:1980:BIM, author = "Tommy Elfving", title = "Block-iterative methods for consistent and inconsistent linear equations", journal = j-NUM-MATH, volume = "35", number = "1", pages = "1--12", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "83e:65059", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Nat. Defence Res. Inst., Link{\"o}ping, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "block iterative method; columns block; iter; iteration parameter; linear algebra; linear system; nla; numerical methods; projection method; rows block; sparse", treatment = "A Application; T Theoretical or Mathematical", } @Article{Aziz:1980:FEM, author = "A. K. Aziz and M. Schneider and A. Werschulz", title = "A finite element method for the {Tricomi} problem", journal = j-NUM-MATH, volume = "35", number = "1", pages = "13--20", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M05 (65M10 65M15)", MRnumber = "81i:65069", MRreviewer = "O. Widlund", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Maryland, Baltimore, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; Galerkin procedure; linear algebra; piecewise smooth boundary; Tricomi problem; uniform stability; uniqueness", treatment = "A Application; T Theoretical or Mathematical", } @Article{Christiansen:1980:DCU, author = "J. Christiansen and R. D. Russell", title = "Deferred corrections using uncentered end formulas", journal = j-NUM-MATH, volume = "35", number = "1", pages = "21--33", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B05 (65L10)", MRnumber = "82e:65006", MRreviewer = "L. Fox", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Simon Fraser Univ., Burnaby, BC, Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; asymptotic expansion; discretization method; Fox difference corrections; trapezoidal rule; truncation error; uncentered end formula", treatment = "T Theoretical or Mathematical", } @Article{Schneider:1980:PAS, author = "Claus Schneider", title = "{Produktintegration mit nicht-{\"a}quidistanten St{\"u}tzstellen}. ({German}) [{Product integration with non-equidistant knots}]", journal = j-NUM-MATH, volume = "35", number = "1", pages = "35--43", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30", MRnumber = "81j:65049", MRreviewer = "Helmut Bra{\ss}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Johannes Gutenberg-Univ., Mainz, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Gauss Legendre quadrature; integration; nonequidistant knot interaction; numerical methods; product integration rule", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{vonGolitschek:1980:ASM, author = "Manfred von Golitschek", title = "An algorithm for scaling matrices and computing the minimum cycle mean in a digraph", journal = j-NUM-MATH, volume = "35", number = "1", pages = "45--55", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (05C20 15A63)", MRnumber = "81k:65047", MRreviewer = "Zden{\v{e}}k Dost{\'a}l", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Angewandte Math. and Statistik, Univ. Wurzburg, Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "diagraph; matrix algebra; minimum cycle mean; numerical methods; scaling matrix algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hairer:1980:USE, author = "E. Hairer", title = "Unconditionally stable explicit methods for parabolic equations", journal = j-NUM-MATH, volume = "35", number = "1", pages = "57--68", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (65M20)", MRnumber = "81h:65076", MRreviewer = "L. F. Shampine", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math., Univ. Innsbruck, Innsbruck, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$n$-dimensional linear equation; A/sub 0/-stable method; linear differential equations; nonlinear differential equations; real parameters; Runge--Kutta methods; scalar text equation; stable explicit method; stiff differential equation; unitary matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Neumann:1980:SSU, author = "Michael Neumann and Richard S. Varga", title = "On the sharpness of some upper bounds for the spectral radii of {S}.{O}.{R}. iteration matrices", journal = j-NUM-MATH, volume = "35", number = "1", pages = "69--79", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "81k:65037", MRreviewer = "Zden{\v{e}}k Dost{\'a}l", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Nottingham, Nottingham, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; H matrix; iteration matrix spectral radius; matrix algebra; successive overrelaxation; upper bounds sharpness", treatment = "A Application; T Theoretical or Mathematical", } @Article{Rentrop:1980:ACE, author = "P. Rentrop", title = "An algorithm for the computation of the exponential spline", journal = j-NUM-MATH, volume = "35", number = "1", pages = "81--93", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07", MRnumber = "81h:65011", MRreviewer = "Claude Carasso", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Math., Tech. Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; cubic spline; data points interpolation; equivalence property; exponential spline; linear spline; procedure generator; second derivative; splines (mathematics); tension parameter", treatment = "A Application; T Theoretical or Mathematical", } @Article{Griewank:1980:SDC, author = "A. O. Griewank", title = "Starlike domains of convergence for {Newton}'s method at singularities", journal = j-NUM-MATH, volume = "35", number = "1", pages = "95--111", month = mar, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "81j:65070", MRreviewer = "John B. Kioustelidis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; measured zero closed set; Newton method; nonlinear differential equations; open starlike domain; singular Jacobian; vector function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Symm:1980:REB, author = "H. J. Symm and J. H. Wilkinson", title = "Realistic error bounds for a simple eigenvalue and its associated eigenvector", journal = j-NUM-MATH, volume = "35", number = "2", pages = "113--126", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "83b:65037", MRreviewer = "Alan L. Andrew", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "C1100 (Mathematical techniques); C4110 (Error analysis in numerical methods)", corpsource = "Div. of Numerical Analysis and Computer Sci., Nat. Phys. Lab., Teddington, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; eigenvalue; eigenvalues and eigenfunctions; eigenvector; error analysis; error bounds; error estimates; la; pert", treatment = "T Theoretical or Mathematical", } @Article{Baker:1980:ATS, author = "Garth A. Baker and Vassilios A. Dougalis and Steven M. Serbin", title = "An approximation theorem for second-order evolution equations", journal = j-NUM-MATH, volume = "35", number = "2", pages = "127--142", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "34G10 (65J10 65L05)", MRnumber = "82b:34078", MRreviewer = "V. G. Kolomiets", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Div. of Appl. Sci., Harvard Univ., Cambridge, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation schemes; approximation theorem; approximation theory; boundary-value problems; differential equations; evolution equations; initial boundary value problems; initial value problems; ordinary differential equations; rational approximations", treatment = "T Theoretical or Mathematical", } @Article{LeRoux:1980:MMP, author = "Marie-No{\"e}lle {Le Roux}", title = "{M}{\'e}thodes multipas pour des {\'e}quations paraboliques non lin{\'e}aires. ({French}) [{Multipass} methods for nonlinear parabolic equations]", journal = j-NUM-MATH, volume = "35", number = "2", pages = "143--162", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M15 (65N15)", MRnumber = "81i:65075", MRreviewer = "W. F. Ames", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4150 (Nonlinear and functional equations)", corpsource = "Dept. de Math. et Informatique, Univ. de Rennes I, Rennes, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error estimation; multistep method; nonlinear equations; nonlinear parabolic equations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Mori:1980:ARS, author = "Masatake Mori", title = "Analytic representations suitable for numerical computation of some special functions", journal = j-NUM-MATH, volume = "35", number = "2", pages = "163--174", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B10 (65D20)", MRnumber = "83e:65012", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis)", corpsource = "Res. Inst. for Math. Sci., Kyoto Univ., Kyoto, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergent series; function evaluation; numerical computation; special functions", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Brezinski:1980:GEA, author = "C. Brezinski", title = "A general extrapolation algorithm", journal = j-NUM-MATH, volume = "35", number = "2", pages = "175--187", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B05", MRnumber = "81j:65015", MRreviewer = "L. Fox", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "UER IEEA, Univ. de Lille 1, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence acceleration; extrapolation; extrapolation algorithm; linear extrapolation; rational extrapolation; recursive algorithm; sequence transformations", treatment = "T Theoretical or Mathematical", } @Article{Opfer:1980:CMP, author = "Gerhard Opfer", title = "Conformal mappings onto prescribed regions via optimization techniques", journal = j-NUM-MATH, volume = "35", number = "2", pages = "189--200", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30", MRnumber = "81i:30015", MRreviewer = "D. Gaier", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C1180 (Optimisation techniques)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conformal mappings; infinite programming; linear programming; linear programming problem; optimisation techniques; topology", treatment = "T Theoretical or Mathematical", } @Article{Weisel:1980:NEQ, author = "Jutta Weisel", title = "{Numerische Ermittlung quasikonformer Abbildungen mit finiten Elementen}. ({German}) [{Numerical determination of quasiconformal mappings by finite elements}]", journal = j-NUM-MATH, volume = "35", number = "2", pages = "201--222", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30G20 (30C60 65E05 65N30)", MRnumber = "81j:30086", MRreviewer = "R. K{\"u}hnau", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", corpsource = "Math. Inst., Univ. Giessen, Giessen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p$-analytic mappings; bilinear finite elements; finite element analysis; finite elements; quasiconformal mappings; topology", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Sloboda:1980:GCG, author = "Fridrich Sloboda", title = "A generalized conjugate gradient algorithm for minimization", journal = j-NUM-MATH, volume = "35", number = "2", pages = "223--230", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (49D10 90C30)", MRnumber = "82c:65041", MRreviewer = "H. Mukai", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques)", corpsource = "Inst. of Tech. Cybernetics, Bratislava, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradient algorithm; convex quadratic function; minimisation", treatment = "T Theoretical or Mathematical", } @Article{Lory:1980:EDC, author = "Peter Lory", title = "Enlarging the domain of convergence for multiple shooting by the homotopy method", journal = j-NUM-MATH, volume = "35", number = "2", pages = "231--240", month = jun, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "81h:65084", MRreviewer = "William B. Day", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Mathematical analysis); C4170 (Differential equations)C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Math., Tech. Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; convergence; convergence of numerical methods; homotopy method; multiple shooting; two point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Starius:1980:CMD, author = "G{\"o}ran Starius", title = "On composite mesh difference methods for hyperbolic differential equations", journal = j-NUM-MATH, volume = "35", number = "3", pages = "241--255", month = oct, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M10", MRnumber = "82b:65089", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Univ. of Uppsala, Uppsala, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "composite mesh difference method; difference equations; hyperbolic equation; partial differential equations; shallow water equation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Crouzeix:1980:MMI, author = "Michel Crouzeix", title = "Une m{\'e}thode multipas implicite-explicite pour l'approximation des {\'e}quations d'{\'e}volution paraboliques. ({French}) [{A} multipass explicit-implicit method for the approximation of parabolic evolutionary equations]", journal = j-NUM-MATH, volume = "35", number = "3", pages = "257--276", month = oct, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M10", MRnumber = "82b:65084", MRreviewer = "E. Schechter", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "UER Math. et Informatique, Univ. de Rennes, Rennes, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; linear parabolic equation; multistep method; partial differential equations", language = "French", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mittelmann:1980:ESN, author = "Hans-Detlef D. Mittelmann", title = "On the efficient solution of nonlinear finite element equations. {I}", journal = j-NUM-MATH, volume = "35", number = "3", pages = "277--291", month = oct, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65H10)", MRnumber = "81m:65173", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Abteilung Math., Univ. Dortmund, Dortmund, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradient method; convergence of numerical methods; elliptic boundary value problems; finite element analysis; Jacobian; partial differential equations; relaxation algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Ritter:1980:RSC, author = "Klaus Ritter", title = "On the rate of superlinear convergence of a class of variable metric methods", journal = j-NUM-MATH, volume = "35", number = "3", pages = "293--313", month = oct, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K05 (49D37 90C30)", MRnumber = "82b:65054", MRreviewer = "R. H. Bartels", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Math. Inst. A, Univ. Stuttgart, Stuttgart, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convex functions; function approximation; superlinear convergence; unconstrained minimization; variable metric methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Nedelec:1980:MFE, author = "J.-C. N{\'e}d{\'e}lec", title = "Mixed finite elements in ${\bf R}^{3}$", journal = j-NUM-MATH, volume = "35", number = "3", pages = "315--341", month = oct, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "81k:65125", MRreviewer = "P. G. Ciarlet", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Centre de Math. Appl., {\'E}cole Polytech., Palaiseau, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; elasticity equation; finite element analysis; Maxwell equation; non conforming finite elements", treatment = "A Application; T Theoretical or Mathematical", } @Article{Glashoff:1980:VDP, author = "K. Glashoff and H. Kreth", title = "{Vorzeichenstabile Differenzenverfahren f{\"u}r parabolische Anfangsrandwertaufgaben}. ({German}) [{Sign-stability in difference schemes for parabolic initial-boundary value problems}]", journal = j-NUM-MATH, volume = "35", number = "3", pages = "343--354", month = oct, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N10", MRnumber = "82b:65102", MRreviewer = "J. Mikl{\'i}{\v{c}}ek", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; difference equations; initial value problems; one step method; sign stability; variation diminishing property", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hartfiel:1980:CSS, author = "D. J. Hartfiel", title = "Concerning the Solution Set of {$Ax = b$} where {$P \le A \le Q$} and {$p \le b \le q$}", journal = j-NUM-MATH, volume = "35", number = "3", pages = "355--359", month = oct, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F99 (65G99 90C05)", MRnumber = "81m:65060", MRreviewer = "R. E. Funderlic", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Math. Dept., Texas A and M Univ., College Station, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; Holden inequality; matrix algebra; real matrices", treatment = "A Application; T Theoretical or Mathematical", } @Article{Lambert:1980:ACM, author = "Joseph M. Lambert", title = "An alternative computational method for the approximation of random functions", journal = j-NUM-MATH, volume = "35", number = "4", pages = "361--368", month = nov, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15 (90C05)", MRnumber = "82b:65008", MRreviewer = "R. Franke", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational complexity; continuous function; function approximation; linear programming; random function; real value function; regular norm; two stage technique", treatment = "A Application; T Theoretical or Mathematical", } @Article{Deak:1980:TDA, author = "I. De{\'a}k", title = "Three digit accurate multiple normal probabilities", journal = j-NUM-MATH, volume = "35", number = "4", pages = "369--380", month = nov, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65C05 (65D20 90C15)", MRnumber = "83a:65008", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1140G (Monte Carlo methods); C1180 (Optimisation techniques)C4240 (Programming and algorithm theory)", corpsource = "Computer and Automation Inst., Hungarian Acad. of Sci., Budapest, Hungary", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; computational complexity; distribution function; Monte Carlo methods; multidimensional normal distribution; multiple normal probabilities; multivariate statistical problem; n-dimensional set; stochastic programming", treatment = "A Application; T Theoretical or Mathematical", } @Article{LeTallec:1980:MFE, author = "P. {Le Tallec}", title = "A mixed finite element approximation of the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "35", number = "4", pages = "381--404", month = nov, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (49D50 76A60 76D05)", MRnumber = "82f:65115", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "TICOM, Univ. of Texas, Austin, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; discrete norm; finite element analysis; low order Lagrange element; mixed finite element; Navier--Stokes equations; numerical algorithm; partial differential equations; Taylor Hood method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wagenfuhrer:1980:DBC, author = "E. Wagenf{\"u}hrer", title = "{Die Determinantenmethode zur Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung}. ({German}) [{On the determinantal method for calculating the characteristic exponent of the finite {Hill} differential equation}]", journal = j-NUM-MATH, volume = "35", number = "4", pages = "405--420", month = nov, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "34D05 (65B99 65F40)", MRnumber = "82e:34048", MRreviewer = "Hans J. Stetter", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Univ. Regensburg, Fakult{\"a}t f{\"u}r Math., Regensburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "band matrix; characteristic exponent; determinantal method; differential equations; finite Hill differential equation; infinite matrix; numerical methods", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mattheij:1980:CDD, author = "R. M. M. Mattheij", title = "Characterizations of dominant and dominated solutions of linear recursions", journal = j-NUM-MATH, volume = "35", number = "4", pages = "421--442", month = nov, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Q05", MRnumber = "81m:65190", MRreviewer = "J. R. Cash", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Math. Inst., Katholieke Univ., Nijmegen, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "linear recursion; linear space; matrices sequence; matrix algebra; Miller algorithm; numerical methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Delahaye:1980:RNA, author = "J. P. Delahaye and B. Germain-Bonne", title = "{R}{\'e}sultats n{\'e}gatifs en acc{\'e}l{\'e}ration de la convergence. ({French}) [{Negative} results in convergence acceleration]", journal = j-NUM-MATH, volume = "35", number = "4", pages = "443--457", month = nov, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B99 (40A99)", MRnumber = "81k:65007", MRreviewer = "Claude Brezinski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Univ. des Sci. et Tech. de Lille I, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "acceleration; algorithm; approximation theory; computational complexity; convergence; convergence of numerical methods", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Lin:1980:EMF, author = "Qun Lin and Jia Quan Liu", title = "Extrapolation method for {Fredholm} integral equations with non-smooth kernels", journal = j-NUM-MATH, volume = "35", number = "4", pages = "459--464", month = nov, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "81m:65198", MRreviewer = "P. Linz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Inst. of Math., Acad. Sinica, Peking, China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; extrapolation; Fredholm integral equation; global superconvergent approximation; integral equations; iterated collocation; nonsmooth kernel", treatment = "A Application; T Theoretical or Mathematical", } @Article{Esser:1980:NDR, author = "Henning Esser and Klaus Niederdrenk", title = "{Nicht{\"a}quidistante Diskretisierungen von Randwertaufgaben}. ({German}) [{Nonuniform discretizations of boundary value problems in {ODE}}]", journal = j-NUM-MATH, volume = "35", number = "4", pages = "465--478", month = nov, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "82b:65068", MRreviewer = "J. B. Butler, Jr.", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Math., RWTH Aachen, Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; differential equations; divided difference; grid function", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brezzi:1980:FDA, author = "F. Brezzi and J. Rappaz and P. A. Raviart", title = "Finite-dimensional approximation of nonlinear problems. {I}. Branches of nonsingular solutions", journal = j-NUM-MATH, volume = "36", number = "1", pages = "1--25", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83f:65089a", MRreviewer = "Erich Bohl", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Istituto di Matematica Applicata, Univ. di Pavia, Pavia, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach space; convergence; finite element analysis; hybrid method; Navier--Stokes equations; partial differential equations; von Karman equation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Oliveira:1980:CRC, author = "F. Aleixo Oliveira", title = "Collocation and residual correction", journal = j-NUM-MATH, volume = "36", number = "1", pages = "27--31", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82a:65060", MRreviewer = "R. M. M. Mattheij", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Coimbra, Coimbra, Portugal", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; collocation method; difference equations; homogeneous boundary; piecewise polynomial; residual correction", treatment = "A Application; T Theoretical or Mathematical", } @Article{Lesaint:1980:CNW, author = "P. Lesaint and M. Zl{\'a}mal", title = "Convergence of the nonconforming {Wilson} element for arbitrary quadrilateral meshes", journal = j-NUM-MATH, volume = "36", number = "1", pages = "33--52", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "81m:65171", MRreviewer = "J. P. Babary", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Lab. d'Analyse Num{\'e}rique et d'Informatique, Faculte des Sci. et des Tech., Besancon, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; conveyance; finite element analysis; partial differential equations; Patch Test; quadrilateral mesh; Sobolev space; Wilson element", treatment = "A Application; T Theoretical or Mathematical", } @Article{Akritas:1980:IVT, author = "Alkiviadis G. Akritas", title = "An implementation of {Vincent}'s theorem", journal = j-NUM-MATH, volume = "36", number = "1", pages = "53--62", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82d:26009", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Kansas, Lawrence, KS, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; integer arithmetic; isolation method; linear algebra; polynomials; real root; Vincent theorem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bini:1980:SFA, author = "Dario Bini and Grazia Lotti", title = "Stability of Fast Algorithms for Matrix Multiplication", journal = j-NUM-MATH, volume = "36", number = "1", pages = "63--72", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "81m:65068", MRreviewer = "Petr Liebl", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. of Math., Univ. of Pisa, Pisa, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "absolute error; algorithm; block matrix; convergence of numerical methods; matrix algebra; matrix multiplication; recursive partitioning; rounding error", treatment = "A Application; T Theoretical or Mathematical", } @Article{Alt:1980:NSS, author = "Hans Wilhelm Alt", title = "Numerical solution of steady-state porous flow free boundary problems", journal = j-NUM-MATH, volume = "36", number = "1", pages = "73--98", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82e:76062", MRreviewer = "Vasile Ionescu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Heidelberg, Heidelberg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; free boundary; numerical methods; topological properties", treatment = "A Application; T Theoretical or Mathematical", } @Article{Arndt:1980:VKA, author = "Herbert Arndt", title = "{Ein verallgemeinerter Kettenbruch-Algorithmus zur rationalen Hermite-Interpolation}. ({German}) [{A generalized continued fraction algorithm for rational {Hermite} interpolation}]", journal = j-NUM-MATH, volume = "36", number = "1", pages = "99--107", month = dec, year = "1980", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82b:65005", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Rheinische Friedrich-Wilhelms-Univ., Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; continued fraction algorithm; denominator; derivative; Hermite interpolation; interpolation", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gotze:1981:KSG, author = "H. G{\"o}tze and F. L. Bauer", title = "{Klaus Samelson: geb. 21.12.1918, gest. 25.5.1980} ({German}) [{Klaus Samelson}: born 21.12.1981, died 25.5.1980]", journal = j-NUM-MATH, volume = "36", number = "2", pages = "109--109", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82g:01051", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Graves-Morris:1981:RRI, author = "P. R. Graves-Morris and T. R. Hopkins", title = "Reliable rational interpolation", journal = j-NUM-MATH, volume = "36", number = "2", pages = "111--128", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82f:65008", MRreviewer = "Robin McLeod", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Math. Inst., Univ. of Kent, Canterbury, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "array storage; computational complexity; distinct point; interpolation; rational fraction; rational interpolation; Thacher-Tukey algorithm", treatment = "T Theoretical or Mathematical", } @Article{Duchon:1981:PDI, author = "Jean Duchon and Raoul Robert and Patrick Witomski", title = "Probl{\`e}me de {Dirichlet} dans l'image bilipschitzienne d'un demi-espace. ({French}) [{The Dirichlet} Problem in the {bi-Lipschitz} image of a Half-Space]", journal = j-NUM-MATH, volume = "36", number = "2", pages = "129--149", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82e:65096", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; bilipschitzian image; Dirichlet problem; Poisson kernel", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Scherer:1981:OGE, author = "Karl Scherer", title = "On optimal global error bounds obtained by scaled local error estimates", journal = j-NUM-MATH, volume = "36", number = "2", pages = "151--176", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82e:65053", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Bonn, Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; asymptotic mesh; error analysis; geometric mesh; global error bound; minimal zero; scaled local error estimates", treatment = "T Theoretical or Mathematical", } @Article{Cuppen:1981:DCM, author = "J. J. M. Cuppen", key = "Cuppen", title = "A Divide and Conquer Method for the Symmetric Tridiagonal Eigenproblem", journal = j-NUM-MATH, volume = "36", number = "2", pages = "177--195", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82d:65038", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/Multi.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Univ. van Amsterdam, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "diagonal element; divide and conquer method; eig; last row; matrix algebra; nla; numerical methods; prll; space vector; symmetric matrix; symmetric tridiagonal eigenproblem; tridiagonal matrix; updating", treatment = "A Application; T Theoretical or Mathematical", } @Article{Weber:1981:NCF, author = "H. Weber", title = "Numerical computation of the {Fourier} transform using {Laguerre} functions and the fast {Fourier} transform", journal = j-NUM-MATH, volume = "36", number = "2", pages = "197--209", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82c:65095", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "Distributed/QLD.bib; Distributed/QLD/1981.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Abteilung Math., Univ. Dortmund, Dortmund, West Germany", date = "17/12/81", descriptors = "Characteristic function; Laplace transform; Laguerre polynomial", enum = "3247", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; bilateral expansion; fast Fourier transforms; Laguerre functions; numerical methods; oscillatory operation; quadrature; trigonometric interpolation; Vooren function", location = "RWTH-AC-DFV: Bibl.", references = "0", revision = "21/04/91", treatment = "A Application; T Theoretical or Mathematical", } @Article{Konig:1981:KAM, author = "Hermann K{\"o}nig and Diethard Pallaschke", title = "On {Khachian}'s algorithm and minimal ellipsoids", journal = j-NUM-MATH, volume = "36", number = "2", pages = "211--223", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82c:65036", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Bonn, Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational complexity; Khachian algorithm; linear algebra; linear inequalities; minimal ellipsoids; stopping rule", treatment = "A Application; T Theoretical or Mathematical", } @Article{Dobrowolski:1981:MFE, author = "Manfred Dobrowolski", title = "A mixed finite element method for solving the nonstationary {Stokes} equation", journal = j-NUM-MATH, volume = "36", number = "3", pages = "225--236", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83e:65170", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math. der Univ. Bonn, Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence rate; error analysis; error estimate; finite element analysis; mixed finite element method; nonstationary Stokes equation; partial differential equations; piecewise linear shape function; smooth boundary", treatment = "A Application; T Theoretical or Mathematical", } @Article{Lipitakis:1981:RCA, author = "Elias A. Lipitakis and David J. Evans", title = "The rate of convergence of an approximate matrix factorization semi-direct method", journal = j-NUM-MATH, volume = "36", number = "3", pages = "237--251", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82e:65103", MRreviewer = "A. O. Garder", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Computer Studies, Loughborough Univ. of Technol., Loughborough, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "acceleration parameters; convergence of numerical methods; iteration matrix; L/sub 2/ norm; lower bound; LU factorization; matrix algebra; matrix factorization; upper bound", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cash:1981:DHO, author = "J. R. Cash", title = "On the design of high order exponentially fitted formulae for the numerical integration of stiff systems", journal = j-NUM-MATH, volume = "36", number = "3", pages = "253--266", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82i:65043", MRreviewer = "J. C. Butcher", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; differential equations; implicit integration; integration; linear multistep method; numerical methods; stiff system", treatment = "A Application; T Theoretical or Mathematical", } @Article{Ishihara:1981:FEL, author = "Kazuo Ishihara", title = "A finite element lumped mass scheme for solving eigenvalue problems of circular arches", journal = j-NUM-MATH, volume = "36", number = "3", pages = "267--290", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82c:65071", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Ehimie Univ., Matsuyama, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "circular arch structure; civil engineering computing; clamped boundary; curved structure; differential equations; digital simulation; error estimate; finite element analysis; lumped mass scheme", } @Article{Gander:1981:LSQ, author = "Walter Gander", title = "Least squares with a quadratic constraint", journal = j-NUM-MATH, volume = "36", number = "3", pages = "291--307", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82c:65026", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Neu-Technikum, Buchs, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Euclidean space; least squares approximations; linear least squares; matrix algebra; positive number; quadratic constraint; vector norm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kautsky:1981:MRI, author = "Jaroslav Kautsk{\'y}", title = "Matrices related to interpolatory quadratures", journal = j-NUM-MATH, volume = "36", number = "3", pages = "309--318", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83c:65041", MRreviewer = "D. D. Stancu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "School of Math. Sci., Flinders Univ., Bedford Park, SA, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvectors; Gauss--Lobatto quadrature; interpolation; interpolatory quadrature; Jacobi matrix; matrix algebra; multiplicity; principal vector; three term relation; tridiagonal matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hundsdorfer:1981:NSR, author = "W. H. Hundsdorfer and M. N. Spijker", title = "A note on {$B$}-stability of {Runge--Kutta} methods", journal = j-NUM-MATH, volume = "36", number = "3", pages = "319--331", month = apr, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82h:65055", MRreviewer = "J. C. Butcher", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. of Leiden, Dept. of Math., Leiden, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "B-stability; differential equations; equivalence; Runge--Kutta methods; stability", treatment = "A Application; T Theoretical or Mathematical", } @Article{Potra:1981:GRF, author = "Florian A. Potra and Vlastimil Pt{\'a}k", title = "A generalization of regula falsi", journal = j-NUM-MATH, volume = "36", number = "3", pages = "333--346", month = apr, year = "1981", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396659", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82j:65029", MRreviewer = "Michel Cosnard", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Nat. Inst. for Sci. and Tech. Creation, Bucharest, Romania", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; Banach space; convergence; error estimate; mathematical induction; multistep variant method; nonlinear operator; secant method", treatment = "T Theoretical or Mathematical", } @Article{Brunner:1981:SCM, author = "Hermann Brunner and Syvert P. N{\o}rsett", title = "Superconvergence of collocation methods for {Volterra} and {Abel} integral equations of the second kind", journal = j-NUM-MATH, volume = "36", number = "4", pages = "347--358", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83e:65202", MRreviewer = "Frank G. Hagin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Maths., Dalhousie Univ., Halifax, NS, Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Abel integral equation; collocation method; continuous singular kernel; convergence of numerical methods; error function; integral equations; moment integral; piecewise polynomial; Volterra integral equations; weakly singular kernels", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brauninger:1981:VMA, author = "J. Br{\"a}uninger", title = "A variable metric algorithm for unconstrained minimization without evaluation of derivatives", journal = j-NUM-MATH, volume = "36", number = "4", pages = "359--373", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83b:65065", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Math. Inst. A, Univ. Stuttgart, Stuttgart, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Broyden Fletcher Goldfarb Shanno method; complete convergence; computational complexity; convergence of numerical methods; derivative evaluation; function approximation; gradient; Hessian matrix; Lipschitz-condition; objective function; unconstrained minimization; variable metric algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mittelmann:1981:ESN, author = "Hans Detlef Mittelmann", title = "On the efficient solution of nonlinear finite element equations. {II}. Bound-constrained problems", journal = j-NUM-MATH, volume = "36", number = "4", pages = "375--387", month = may, year = "1981", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01395953", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82j:65043", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Abteilung Math., Univ. Dortmund, Dortmund, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cg-accelerated relaxation; conjugate gradient method; finite element analysis; function approximation; global convergence; Kuhn--Tucker point; locally convex minimization; nonlinear variational inequalities; quasilinear elliptic; relaxation theory; SOR-Newton method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hoppe:1981:PMA, author = "Ronald H. W. Hoppe", title = "A penalty method for the approximate solution of stationary {Maxwell} equations", journal = j-NUM-MATH, volume = "36", number = "4", pages = "389--403", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83g:65109", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Fachbereich Math., Tech. Univ. Berlin, Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; finite element analysis; Nitsche procedure; partial differential equations; penalty method; positive constant; stationary Maxwell equation; time harmonic system; total reflexion; vector fields; weighted norm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gutknecht:1981:STI, author = "Martin H. Gutknecht", title = "Solving {Theodorsen}'s integral equation for conformal maps with the fast {Fourier} transform and various nonlinear iterative methods", journal = j-NUM-MATH, volume = "36", number = "4", pages = "405--429", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83d:30010", MRreviewer = "W. Niethammer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Seminar f{\"u}r Angewandte Math., ETH-Zentrum HG, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conformal map; conjugate periodic function; correspondence function; fast Fourier transform; fast Fourier transforms; integral equations; iterative methods; Jacobi iteration; nonlinear iterative method; overrelaxation method; Theodorsen's integral equation; trigonometric function; trigonometric polynomial", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hairer:1981:OCN, author = "E. Hairer", title = "Order conditions for numerical methods for partitioned ordinary differential equations", journal = j-NUM-MATH, volume = "36", number = "4", pages = "431--445", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82j:65047", MRreviewer = "Rolf Jeltsch", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Heidelberg, Heidelberg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Butcher series; differential equations; integral equations; Nystr{\"o}m method; P series theory; partitioned ordinary differential equations; Rosenbrock method; Runge--Kutta methods; Volterra equation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Paget:1981:NEH, author = "D. F. Paget", title = "The numerical evaluation of {Hadamard} finite-part integrals", journal = j-NUM-MATH, volume = "36", number = "4", pages = "447--453", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83d:65062", MRreviewer = "C. Dagnino", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Univ. of Tasmania, Hobart, Tas., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy principal value integral; double pole singularity; Hadamard finite-part integral; integration; Lipschitz condition; numerical methods; weight function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Evequoz:1981:NFE, author = "H. Ev{\'e}quoz and Y. Jaccard", title = "A nonconforming finite element method to compute the spectrum of an operator relative to the stability of a plasma in toroidal geometry", journal = j-NUM-MATH, volume = "36", number = "4", pages = "455--465", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83j:65104", MRreviewer = "W. Velte", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A5265 (Plasma simulation); B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. de Math., {\'E}cole Polytech. F{\'e}d{\'e}rale de Lausanne, Lausanne, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; Hilbert space; inner product; integral equations; MHD spectrum; partial differential equations; plasma simulation; plasma stability; stability; toroidal geometry", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Brezzi:1981:FDAa, author = "F. Brezzi and J. Rappaz and P. A. Raviart", title = "Finite-dimensional approximation of nonlinear problems. {II}. Limit points", journal = j-NUM-MATH, volume = "37", number = "1", pages = "1--28", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (58E07 65N30)", MRnumber = "83f:65089b", MRreviewer = "Erich Bohl", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods); C4170 (Differential equations)", corpsource = "Istituto di Math. Appl., Univ. di Pavia, Pavia, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach space; bifurcation points; branch approximation; finite element analysis; Galerkin approximation; limit point; Navier--Stokes equations; neighborhood; nonlinear differential equations; partial differential equations; smooth function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Fix:1981:MFE, author = "G. J. Fix and M. D. Gunzburger and R. A. Nicolaides", title = "On mixed finite element methods for first-order elliptic systems", journal = j-NUM-MATH, volume = "37", number = "1", pages = "29--48", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "82f:65111", MRreviewer = "David F. Griffiths", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach space; boundary-value problems; bounded region; Dirichlet principle; duality theory; finite element analysis; first order elliptic system; Galerkin finite element; mixed finite element method; partial differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bogues:1981:IME, author = "Katrina Bogues and Corbett R. Morrow and Thomas N. L. Patterson", title = "An implementation of the method of {Ermakov} and {Zolotukhin} for multidimensional integration and interpolation", journal = j-NUM-MATH, volume = "37", number = "1", pages = "49--60", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (65C05)", MRnumber = "83b:65016", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math. and Theoretical Phys., Queens Univ. of Belfast, Belfast, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Ermakov method; integration; interpolation; linear function; multidimensional integration; multidimensional interpolation; Zolotukhin method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Jeltsch:1981:SET, author = "Rolf Jeltsch and Olavi Nevanlinna", title = "Stability of explicit time discretizations for solving initial value problems", journal = j-NUM-MATH, volume = "37", number = "1", pages = "61--91", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20", MRnumber = "82g:65042", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Jeltsch:1982:EET}.", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Math., Technische Hochschule Aachen, Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bound; differential equations; explicit time discretization; function evaluation; initial value problems; integration; linear time method; stability", treatment = "A Application; T Theoretical or Mathematical", } @Article{Larkin:1981:RFD, author = "F. M. Larkin", title = "Root finding by divided differences", journal = j-NUM-MATH, volume = "37", number = "1", pages = "93--104", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "82f:65058", MRreviewer = "E. R. Hansen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computing and Information Sci., Queen's Univ., Kingston, Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic function; derivative; divided difference; function approximation; numerical methods; ordinate; quadratic convergence; rational function; simple zero", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kikuchi:1981:CPF, author = "Noboru Kikuchi", title = "Convergence of a penalty-finite element approximation for an obstacle problem", journal = j-NUM-MATH, volume = "37", number = "1", pages = "105--120", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (49D30 65K10)", MRnumber = "83e:65176", MRreviewer = "William W. Hager", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Univ. of Michigan, Ann Arbor, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bercovier theory; convergence of numerical methods; error estimate; finite element analysis; integration; mesh size; mixed finite element method; obstacle problem; penalty-finite element; projection map; variational inequality", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mansfield:1981:FEM, author = "Lois Mansfield", title = "Finite element methods for nonlinear shell analysis", journal = j-NUM-MATH, volume = "37", number = "1", pages = "121--131", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73L99)", MRnumber = "82f:65116", MRreviewer = "David F. Griffiths", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Appl. Math. and Computer Sci., Univ. of Virginia, Charlottesville, VA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; digital simulation; error bounds; finite element analysis; isotropic shell; minimum potential energy; nonlinear shell analysis; physics computing; uniqueness", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Hough:1981:USS, author = "D. M. Hough and N. Papamichael", title = "The use of splines and singular functions in an integral equation method for conformal mapping", journal = j-NUM-MATH, volume = "37", number = "1", pages = "133--147", month = may, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30 (41A15)", MRnumber = "82e:30012", MRreviewer = "D. Gaier", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Div. of Math., Polytech. of the South Bank, London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary; conformal mapping; continuity; integral equations; Jordan curve; neighborhood; simply-connected domain; singular function; singularity; source density; splines (mathematics); Symm method", treatment = "A Application; T Theoretical or Mathematical", } @Article{VanderCruyssen:1981:CFA, author = "P. {Van der Cruyssen}", title = "A continued fraction algorithm", journal = j-NUM-MATH, volume = "37", number = "1", pages = "149--156", month = may, year = "1981", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396192", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30B70 (65B99)", MRnumber = "83g:30006", MRreviewer = "Claude Brezinski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Two existing algorithms for the evaluation of a finite sequence of convergents of a continued fraction are considered. Each method has a drawback concerning numerical stability or computational effort. A third algorithm is presented which requires less computations than the first method, and generally is more stable than the second one. The results are illustrated by numerical examples. The connection with Miklo{\v{s}}ko's algorithm is shown.", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. Wiskunde, Univ. Instelling Antwerpen, Wilrijk, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continued fraction algorithm; convergents sequence; function approximation; Miklo{\v{s}}ko's algorithm; nonlinear recursion", treatment = "A Application; T Theoretical or Mathematical", } @Article{Zlatev:1981:ZSP, author = "Zahari Zlatev", title = "Zero-stability properties of the three-ordinate variable stepsize variable formula methods", journal = j-NUM-MATH, volume = "37", number = "2", pages = "157--166", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20", MRnumber = "82i:65052", MRreviewer = "N. S. Fal\cprime ko", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. for Numerical Analysis, Tech. Univ. of Denmark, Lyngby, Denmark", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; grid point; linear multistep variable stepsize variable formula; Lipschitz function; numerical methods; second argument; three ordinate system; three-ordinate variable stepsize; zero stability", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bohmer:1981:DNM, author = "Klaus B{\"o}hmer", title = "Discrete {Newton} methods and iterated defect corrections", journal = j-NUM-MATH, volume = "37", number = "2", pages = "167--192", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (41A60)", MRnumber = "82j:65035", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Fachbereich Math., Univ. Marburg, Marburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic expansions; differential equations; discrete Newton methods; error analysis; integration; iterated defect corrections; iterative methods; neighbouring", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bozzini:1981:AMF, author = "M. Bozzini and L. Lenarduzzi", title = "Approximation of multivariable functions with respect to random points less than $2^{k}$, $k$ dimension of space", journal = j-NUM-MATH, volume = "37", number = "2", pages = "193--203", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65C05 (65D15)", MRnumber = "83a:65007", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. of Math., Univ. of Milano, Milano, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation; lattice points; Monte Carlo method; Monte Carlo methods; multivariable functions; random points; space dimension", treatment = "A Application; T Theoretical or Mathematical", } @Article{vanderHouwen:1981:BDT, author = "P. J. van der Houwen and H. J. J. te Riele", title = "Backward differentiation type formulas for {Volterra} integral equations of the second kind", journal = j-NUM-MATH, volume = "37", number = "2", pages = "205--217", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "83a:65128", MRreviewer = "John M. Bownds", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Stichting Mathematisch Centrum, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accuracy; backward differentiation; convolution kernels; differentiation; integro-differential equations; Runge--Kutta methods; stability; stiff integral equations; Volterra integral equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kossmann:1981:DBP, author = "H. Ko{\ss}mann", title = "{Differenzenverfahren zur Berechnung periodischer L{\"o}sungen von hyperbolischen Differentialgleichungen}. ({German}) [{Finite} difference methods for the computation of periodic solutions of hyperbolic differential equations]", journal = j-NUM-MATH, volume = "37", number = "2", pages = "219--233", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M05", MRnumber = "84c:65115", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Abteilung f{\"u}r Math., Ruhr-Univ. Bochum, Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; finite difference method; hyperbolic partial differential equations; L/sub 2/ norm; nonlinear differential equations; partial differential equations", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Oberle:1981:NTD, author = "H. J. Oberle and H. J. Pesch", title = "Numerical treatment of delay differential equations by {Hermite} interpolation", journal = j-NUM-MATH, volume = "37", number = "2", pages = "235--255", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L99", MRnumber = "83a:65077", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math., Tech. Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "delay differential equations; derivatives; differential equations; Hermite interpolation; initial function; interpolation; jump discontinuities; Runge--Kutta methods; Runge--Kutta-Fehlberg methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Babuska:1981:EEC, author = "Ivo Babu{\v{s}}ka and Milo R. Dorr", title = "Error estimates for the combined $h$ and $p$ versions of the finite element method", journal = j-NUM-MATH, volume = "37", number = "2", pages = "257--277", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "82h:65080", MRreviewer = "Murli M. Gupta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$h$-version; $p$-version; corner singularities; finite element analysis; freedom degree; mesh refining; piecewise smooth approximation; polynomials", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bank:1981:GAN, author = "R. E. Bank and D. J. Rose", title = "Global approximate {Newton} methods", journal = j-NUM-MATH, volume = "37", number = "2", pages = "279--295", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (58C15)", MRnumber = "83c:65127", MRreviewer = "Kurt Georg", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of California, San Diego, La Jolla, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithms; Newton methods; nonlinear differential equations; numerical methods; partial differential equations; smooth homeomorphism", treatment = "A Application; T Theoretical or Mathematical", } @Article{Trefethen:1981:RCA, author = "Lloyd N. Trefethen", title = "Rational {Chebyshev} approximation on the unit disk", journal = j-NUM-MATH, volume = "37", number = "2", pages = "297--320", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30E10 (41A50 65D15)", MRnumber = "83c:30038", MRreviewer = "Volker Klotz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Computer Sci. Dept., Stanford Univ., Stanford, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; error curves; Hankel matrix; singular vector; the unit disk", treatment = "A Application; T Theoretical or Mathematical", } @Article{Maday:1981:LCS, author = "Yvon Maday and Alfio Quarteroni", title = "{Legendre} and {Chebyshev} spectral approximations of {Burgers}' equation", journal = j-NUM-MATH, volume = "37", number = "3", pages = "321--332", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35Q20)", MRnumber = "83c:65246", MRreviewer = "E. G. D\cprime yakonov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Analyse Num{\'e}rique, Univ. Pierre et Marie Curie, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Burgers' equation; Chebyshev spectral approximations; error analysis; function approximation; Legendre spectral approximations; stability", treatment = "T Theoretical or Mathematical", } @Article{Neittaanmaki:1981:FEA, author = "P. Neittaanm{\"a}ki and J. Saranen", title = "On finite element approximation of the gradient for solution of {Poisson} equation", journal = j-NUM-MATH, volume = "37", number = "3", pages = "333--337", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "82h:65086", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Jyv{\"a}skyl{\"a}, Jyv{\"a}skyl{\"a}, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; finite element analysis; finite element approximation; gradient for solution; mixed finite element method; partial differential equations; Poisson equation; regularity assumption", treatment = "T Theoretical or Mathematical", } @Article{Muhlbach:1981:AAH, author = "G. M{\"u}hlbach", title = "An algorithmic approach to {Hermite--Birkhoff} interpolation", journal = j-NUM-MATH, volume = "37", number = "3", pages = "339--347", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05", MRnumber = "83a:65011", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Prakt. Math., Univ. Hannover, Hannover, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic polynomials; algorithmic approach; HB-interpolation; Hermite--Birkhoff-interpolation; interpolation", treatment = "T Theoretical or Mathematical", } @Article{Biegler-Konig:1981:NIP, author = "Friedrich W. Biegler-K{\"o}nig", title = "A {Newton} iteration process for inverse eigenvalue problems", journal = j-NUM-MATH, volume = "37", number = "3", pages = "349--354", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "82h:65027", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "Univ. Bielefeld, Bielefeld, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "inverse eigenvalue problems; iterative methods; Newton iteration process; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Cash:1981:HOS, author = "J. R. Cash", title = "High order {$P$}-stable formulae for the numerical integration of periodic initial value problems", journal = j-NUM-MATH, volume = "37", number = "3", pages = "355--370", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "82j:65044", MRreviewer = "J. D. Lambert", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2-step methods; initial value problems; integration; numerical methods; numerical solution; P-stable formulae; periodic initial value problems; Runge--Kutta; stability", treatment = "T Theoretical or Mathematical", } @Article{Brass:1981:EEI, author = "H. Brass and G. Schmeisser", title = "Error estimates for interpolatory quadrature formulae", journal = j-NUM-MATH, volume = "37", number = "3", pages = "371--386", month = jul, year = "1981", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01400316", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30", MRnumber = "82j:65012", MRreviewer = "David R. Hill", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Lehrstuhl E f{\"u}r Math., Tech. Univ., Braunschweig, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error estimates; interpolation; interpolatory quadrature formulae; linear functionals; remainder", treatment = "T Theoretical or Mathematical", } @Article{Braess:1981:CNM, author = "Dietrich Braess", title = "The contraction number of a multigrid method for solving the {Poisson} equation", journal = j-NUM-MATH, volume = "37", number = "3", pages = "387--404", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20", MRnumber = "82h:65073", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math., Ruhr-Univ. Bochum, Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "contraction number; multigrid method; numerical analysis; numerical methods; partial differential equations; Poisson equation", treatment = "T Theoretical or Mathematical", } @Article{Arnold:1981:DFE, author = "Douglas N. Arnold", title = "Discretization by finite elements of a model parameter dependent problem", journal = j-NUM-MATH, volume = "37", number = "3", pages = "405--421", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K12)", MRnumber = "82h:65077", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "Dept. of Math., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "clamped loaded beam; finite element analysis; finite elements; mixed finite element methods; model parameter dependent problem; model variational problem; quasioptimal approximation", treatment = "T Theoretical or Mathematical", } @Article{Mansfield:1981:MSF, author = "Lois Mansfield", title = "On the multigrid solution of finite element equations with isoparametric elements", journal = j-NUM-MATH, volume = "37", number = "3", pages = "423--432", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20 (65N30)", MRnumber = "82h:65075", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Appl. Math. and Computer Sci., Univ. of Virginia, Charlottesville, VA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; boundary; boundary-value problems; finite element analysis; finite element systems; isoparametric elements; multigrid method; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Paumier:1981:MNPa, author = "Jean-Claude Paumier", title = "Une m{\'e}thode num{\'e}rique pour le calcul des points de retournement. Application {\`a} un probl{\`e}me aux limites non-lin{\'e}aire. {I}. {\'E}tude th{\'e}orique et exp{\'e}rimentation de la m{\'e}thode. ({French}) [{A} numerical method for the calculation of turning points. Application to a problem at nonlinear limits. {I}. Theoretical and experimental study of the method]", journal = j-NUM-MATH, volume = "37", number = "3", pages = "433--444", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "82i:65034a", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "Lab. de Math., Faculte des Sci. de Rouen, Mont-Saint-Aignan, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problem; boundary-value problems; branch of solutions; convergence; convergence of numerical methods; finite element analysis; finite element method; iterative method; iterative methods; minimax techniques; turning point", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Paumier:1981:MNPb, author = "Jean-Claude Paumier", title = "Une m{\'e}thode num{\'e}rique pour le calcul des points de retournement. Application {\`a} un probl{\`e}me aux limites non-lin{\'e}aire. {II}. Analyse num{\'e}rique d'un probl{\`e}me aux limites non-lin{\'e}aire. ({French}) [{A} numerical method for the calculation of turning points. Application to a problem at non-linear limits. {II}. Numerical analysis of a problem at nonlinear limits.]", journal = j-NUM-MATH, volume = "37", number = "3", pages = "445--452", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "82i:65034b", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Lab. de Math., Faculte des Sci. de Rouen, Mont-Saint-Aignan, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; finite element analysis; finite element method; minimax techniques; nonlinear boundary value problem; numerical integration; turning points", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Stynes:1981:CSR, author = "Martin Stynes", title = "On the construction of sufficient refinements for computation of topological degree", journal = j-NUM-MATH, volume = "37", number = "3", pages = "453--462", month = jul, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "55-04 (54H25 55M25 65D99 65H10)", MRnumber = "82i:55001", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4140 (Linear algebra)", corpsource = "Regional Tech. Coll., Waterford, Ireland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "class of algorithms; sufficient refinements; topological degree; topology", treatment = "T Theoretical or Mathematical", } @Article{Brezzi:1981:FDAb, author = "F. Brezzi and J. Rappaz and P. A. Raviart", title = "Finite dimensional approximation of nonlinear problems. {III}. Simple bifurcation points", journal = j-NUM-MATH, volume = "38", number = "1", pages = "1--30", month = oct, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83f:65090", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/nld.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Istituto di Matematica Applicata, Univ. di Pavia, Pavia, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "abstract theory; approximation results; Banach space; bifurcation; bifurcation point; dimension; finite element analysis; finite element approximation; function approximation; Galerkin approximation; limit points; nonlinear; nonlinear differential equations; nonlinear equations; nonlinear problems; nonlinear variational problems; partial differential equations; von Karman equations", treatment = "T Theoretical or Mathematical", } @Article{Pissanetzky:1981:NEO, author = "S. Pissanetzky and F. G. Basombr{\'i}o", title = "On the numerical errors in one-step algorithms for time dependent problems", journal = j-NUM-MATH, volume = "38", number = "1", pages = "31--37", month = oct, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82k:65058", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Centro Atomico Bariloche, Bariloche, Argentina", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; matrix algebra; numerical errors; one step algorithms; rounding errors; time dependent problems", treatment = "T Theoretical or Mathematical", } @Article{Fage:1981:IMF, author = "Dimitri M. Fag{\'e}", title = "The indicatrix method in free boundary problems", journal = j-NUM-MATH, volume = "38", number = "1", pages = "39--52", month = oct, year = "1981", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01395807", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82m:65110a", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Computing Centre, Novosibirsk, USSR", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence theorems; differential equations; elastic-plastic torsion problem; free boundary problems; functional constraints; indicatrix method; nonlinear problems; stability criterion", treatment = "T Theoretical or Mathematical", } @Article{Milaszewicz:1981:FPL, author = "J. P. Milaszewicz", title = "On fixed point linear equations", journal = j-NUM-MATH, volume = "38", number = "1", pages = "53--59", month = oct, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82k:65035", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. de Matematica, Ciudad Univ., Buenos Aires, Argentina", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "fixed point linear equations; matrices; matrix algebra; partial substitutions; spectral radius", treatment = "T Theoretical or Mathematical", } @Article{Goldstein:1981:FEM, author = "C. I. Goldstein", title = "The finite element method with nonuniform mesh sizes applied to the exterior {Helmholtz} problem", journal = j-NUM-MATH, volume = "38", number = "1", pages = "61--82", month = oct, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82k:65062", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Appl. Math. Dept., Brookhaven Nat. Lab., Upton, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate problem; error analysis; exterior Helmholtz problem; finite element analysis; finite element method; non-uniform mesh sizes; optimal error estimates; partial differential equations; radiation condition", treatment = "T Theoretical or Mathematical", } @Article{Schittkowski:1981:NPMa, author = "Klaus Schittkowski", title = "The nonlinear programming method of {Wilson}, {Han}, and {Powell} with an augmented {Lagrangian} type line search function. {I}. Convergence analysis", journal = j-NUM-MATH, volume = "38", number = "1", pages = "83--114", month = oct, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83c:90155a", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Inst. f{\"u}r Angewandte Math. and Statistik, Univ. Wurzburg, Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence properties; Lagrangian type line search function; nonlinear programming; quadratic subproblems; steplength", treatment = "T Theoretical or Mathematical", } @Article{Schittkowski:1981:NPMb, author = "Klaus Schittkowski", title = "The nonlinear programming method of {Wilson}, {Han}, and {Powell} with an augmented {Lagrangian} type line search function. {II}. An efficient implementation with linear least squares subproblems", journal = j-NUM-MATH, volume = "38", number = "1", pages = "115--127", month = oct, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83c:90155b", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Inst. f{\"u}r Angewandte Math. und Statistik, Univ. Wurzburg, Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "augmented Lagrangian type line search function; convergence of numerical methods; convergence properties; linear least squares subproblems; nonlinear programming; quadratic approximation methods", treatment = "T Theoretical or Mathematical", } @Article{Fischer:1981:ADL, author = "J{\"u}rgen Fischer", title = "An algorithm for discrete linear {$L_p$} approximation", journal = j-NUM-MATH, volume = "38", number = "1", pages = "129--139", month = oct, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82k:65006", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Univ. Stuttgart, Stuttgart, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; discrete linear L/sub p/ approximation; duality (mathematics); duality theory; function approximation; global convergence; iterative methods; iteratively reweighted least squares algorithms; Q-superlinearly convergent", treatment = "T Theoretical or Mathematical", } @Article{Reemtsen:1981:ATN, author = "R. Reemtsen and C. J. Lozano", title = "An approximation technique for the numerical solution of a {Stefan} problem", journal = j-NUM-MATH, volume = "38", number = "1", pages = "141--154", month = oct, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82k:65056", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Fachbereich Math., TH Darmstadt, Darmstadt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation technique; boundary-value problems; error estimate; free boundary problems; function approximation; integral equations; numerical solution; Stefan problem", treatment = "T Theoretical or Mathematical", } @Article{Hock:1981:EMS, author = "Wilhelm Hock", title = "An extrapolation method with step size control for nonlinear {Volterra} integral equations", journal = j-NUM-MATH, volume = "38", number = "2", pages = "155--178", month = dec, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83e:65209", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Univ. Wurzburg, Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "extrapolation; integral equations; midpoint rule; nonlinear integral equation; step size control; Volterra integral equations", treatment = "T Theoretical or Mathematical", } @Article{Varga:1981:FM, author = "Richard S. Varga and Da Yong Cai", title = "On the ${LU}$ factorization of ${M}$-matrices", journal = j-NUM-MATH, volume = "38", number = "2", pages = "179--192", month = dec, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83d:15008", MRreviewer = "Thomas L. Markham", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B0290B (Error analysis in numerical methods); C1160 (Combinatorial mathematics); C4140 (Linear algebra)", corpsource = "Inst. for Computational Math., Kent State Univ., Kent, OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "graph theory; lower triangular M-matrix; LU factorization; M-matrices; matrix algebra; numerical methods; upper triangular M- matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Norsett:1981:PCR, author = "S. P. N{\o}rsett and G. Wanner", title = "Perturbed collocation and {Runge--Kutta} methods", journal = j-NUM-MATH, volume = "38", number = "2", pages = "193--208", month = dec, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82m:65065", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. of Numerical Math., NTH, Trondheim, Norway", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "collocation methods; differential equations; Runge--Kutta methods; stability; stability properties", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stachurski:1981:SCS, author = "Andrzej Stachurski", title = "Superlinear convergence of symmetric {Huang}'s class of methods", journal = j-NUM-MATH, volume = "38", number = "2", pages = "209--218", month = dec, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82m:65055", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Systems Res. Inst., Polish Acad. of Sci., Warsaw, Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation; numerical methods; Quasi-Newton methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kleinmichel:1981:QNVa, author = "Helmut Kleinmichel", title = "{Quasi-Newton-Verfahren vom Rang-Eins-Typ zur L{\"o}sung unrestringierter Minimierungsprobleme. I. Verfahren und grundlegende Eigenschaften}. ({German}) [{Quasi-Newton} methods of rank-one type for the solution of unconstrained minimization problems. {I}. Methods and general properties]", journal = j-NUM-MATH, volume = "38", number = "2", pages = "219--228", month = dec, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82j:65040a", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Sektion Math., Tech. Univ. Dresden, Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation; numerical methods; Oren-Luenberger class; unconstrained minimization", language = "German", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kleinmichel:1981:QNVb, author = "Helmut Kleinmichel", title = "{Quasi-Newton-Verfahren vom Rang-Eins-Typ zur L{\"o}sung unrestringierter Minimierungsprobleme. II. $n$-Schritt-quadratische Konvergenz f{\"u}r Restart-Varianten}. ({German}) [{Quasi-Newton} methods of rank-one-type for the solution of unconstrained minimization problems. {II}. $n$-step quadratic convergence for restart variants]", journal = j-NUM-MATH, volume = "38", number = "2", pages = "229--244", month = dec, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82j:65040b", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Sektion Math., Tech. Univ. Dresden, Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation; global minimum point; Hessian; Lipschitz continuous; numerical methods; objective function", language = "German", treatment = "A Application; T Theoretical or Mathematical", } %%% Issue months appeared for the first time with Volume 38, Number 2, %%% 1982. @Article{Dollinger:1981:LKZ, author = "E. Dollinger", title = "{Ein linear konvergentes zyklisches jacobi{\"a}hnliches Verfahren f{\"u}r beliebige reelle Matrizen}. ({German}) [{A} linear convergent cyclic {Jacobi}-like method for arbitrary real matrices]", journal = j-NUM-MATH, volume = "38", number = "2", pages = "245--253", month = dec, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82m:65031", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Univ. Ulm, Ulm, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; arbitrary real matrices; convergence of numerical methods; diagonalizable matrices; Jacobi method; matrix algebra", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Fage:1981:IMI, author = "Dimitri M. Fag{\'e}", title = "The indicatrix method. {II}", journal = j-NUM-MATH, volume = "38", number = "2", pages = "255--261", month = dec, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82m:65110b", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Computing Centre, Novosibirsk, USSR", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; free boundary; indicatrix method; partial differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sloan:1981:AGQ, author = "Ian H. Sloan", title = "Analysis of general quadrature methods for integral equations of the second kind", journal = j-NUM-MATH, volume = "38", number = "2", pages = "263--278", month = dec, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82m:65128", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Phys. and Astron., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate method; general convergence theory; general quadrature methods; integral equations; kernel; numerical methods; Nystr{\"o}m method; product-integration methods", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kaps:1981:SRT, author = "P. Kaps and G. Wanner", title = "A study of {Rosenbrock}-type methods of high order", journal = j-NUM-MATH, volume = "38", number = "2", pages = "279--298", month = dec, year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "82m:65064", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math. und Geometrie, Univ. Innsbruck, Innsbruck, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; extrapolation; initial value problems; Jacobian; LU decomposition; numerical methods; Richardson extrapolation; step size control; stiff ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sidi:1982:ASC, author = "Avram Sidi", title = "An algorithm for a special case of a generalization of the {Richardson} extrapolation process", journal = j-NUM-MATH, volume = "38", number = "3", pages = "299--307", month = mar, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83d:65012", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Support Section, NASA-Lewis Res. Center, Cleveland, OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; convergence; convergence of numerical methods; extrapolation; Richardson extrapolation process; stability", treatment = "T Theoretical or Mathematical", } @Article{Pironneau:1982:TDA, author = "O. Pironneau", title = "On the transport-diffusion algorithm and its applications to the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "38", number = "3", pages = "309--332", month = mar, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83d:65258", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. de Math., CSP-Univ. de Paris-Nord, Villetaneuse, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; convection; convergence of numerical methods; diffusion; error bound; Euler equation; finite element analysis; finite element method; Lagrangian form; method of characteristics; Navier--Stokes equations; PDE; Reynolds number; stability; time discretisation; transport; transport processes", treatment = "T Theoretical or Mathematical", } @Article{Lewis:1982:ITM, author = "Jerry W. Lewis", title = "Inversion of Tridiagonal Matrices", journal = j-NUM-MATH, volume = "38", number = "3", pages = "333--345", month = mar, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83h:65034", MRreviewer = "Robert Todd Gregory", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0290B (Error analysis in numerical methods)C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Statistics., Iowa State Univ., Ames, IA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; matrix algebra; matrix inversion; nonsymmetric tridiagonal matrices; Ukita", treatment = "T Theoretical or Mathematical", } @Article{Murota:1982:PTR, author = "Kazuo Murota and Masao Iri", title = "Parameter tuning and repeated application of the {IMT-type} transformation in numerical quadrature", journal = j-NUM-MATH, volume = "38", number = "3", pages = "347--363", month = mar, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83d:65061", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); B0290M (Numerical integration and differentiation); C1120 (Mathematical analysis); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math. Engng. and Instrumentation Phys., Univ. of Tokyo, Tokyo, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "efficiency; end-point singularities; error estimates; IMT rule; IMT transformation; integration; numerical quadrature; parameter tuning; parameters; robustness", treatment = "T Theoretical or Mathematical", } @Article{LeTallec:1982:EAR, author = "P. {Le Tallec}", title = "Existence and approximation results for nonlinear mixed problems: application to incompressible finite elasticity", journal = j-NUM-MATH, volume = "38", number = "3", pages = "365--382", month = mar, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83d:65322", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity)", corpsource = "Lab. Central des Ponts et Chauss{\'e}es, Service de Math., Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; convergence; convergence of numerical methods; elasticity; equilibrium; existence; Gateaux-differentiable functionals; incompressible finite elasticity; inf-sup condition; Lagrange multiplier; minimisation; nonlinear compatibility condition; nonlinear equality constraint; nonlinear mixed problems; real Banach spaces", treatment = "T Theoretical or Mathematical", } @Article{Werner:1982:SSR, author = "Wilhelm Werner", title = "Some supplementary results on the $1+\sqrt{2}$ order method for the solution of nonlinear equations", journal = j-NUM-MATH, volume = "38", number = "3", pages = "383--392", month = mar, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83d:65171", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); B0290D (Functional analysis); B0290K (Nonlinear and functional equations); C1120 (Mathematical analysis); C4120 (Functional analysis); C4150 (Nonlinear and functional equations)", corpsource = "Fachbereich Math., Johannes Gutenberg-Univ., Mainz, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "1+root 2 order method; asymptotic inclusion; convergence of numerical methods; function evaluation; function evaluations; iterative method; iterative methods; monotone convergence; multiple roots; nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{Arnautu:1982:AOD, author = "Viorel Arn{\u{a}}utu", title = "Approximation of optimal distributed control problems governed by variational inequalities", journal = j-NUM-MATH, volume = "38", number = "3", pages = "393--416", month = mar, year = "1982", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396440", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83k:49056", MRreviewer = "F. Patrone", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Mathematical analysis); C1180 (Optimisation techniques); C1330 (Optimal control)", corpsource = "Computer Center, Faculty of Math., `Al. I. Cuza' Iasi, Iasi, Romania", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; distributed control; gradient algorithm; optimal control; optimal state; Rayleigh--Ritz--Galerkin; regularising techniques; variational inequalities; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Evans:1982:MBA, author = "D. J. Evans and J. Shanehchi and C. C. Rick", title = "A modified bisection algorithm for the determination of the eigenvalues of a symmetric tridiagonal matrix", journal = j-NUM-MATH, volume = "38", number = "3", pages = "417--419", month = mar, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83c:65072", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0290B (Error analysis in numerical methods)C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Computer Studies, Loughborough Univ. of Technol., Loughborough, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bisection algorithm; computational methods; eigenvalues; eigenvalues and eigenfunctions; matrix algebra; Sturm sequence; symmetric tridiagonal matrix", treatment = "T Theoretical or Mathematical", } @Article{Forster:1982:BOT, author = "Klaus-J{\"u}rgen F{\"o}rster", title = "{Bemerkungen zur optimalen Tschebyscheff-Typ Quadratur}. ({German}) [{Remarks} on optimal {Chebyshev-type} quadratures]", journal = j-NUM-MATH, volume = "38", number = "3", pages = "421--425", month = mar, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83d:65065", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ. Braunschweig, Braunschweig, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic degree; approximation; Chebyshev approximation; E-optimal formulae; Gautschi; minimisation; Monegato; optimal Chebyshev-type quadratures; optimisation; Sard; symmetry", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Potra:1982:EAS, author = "Florian A. Potra", title = "An error analysis for the secant method", journal = j-NUM-MATH, volume = "38", number = "3", pages = "427--445", month = mar, year = "1982", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396443", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83h:65073", MRreviewer = "Peter Lancaster", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Sharp a priori and a posteriori error bounds are given for the secant method for solving non-linear equations in Banach spaces. The numerical stability of this method is also investigated. The stability results are analogous to those obtained by Lancaster for Newton's method.", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); B0290B (Error analysis in numerical methods); B0290K (Nonlinear and functional equations); C1120 (Mathematical analysis); C4110 (Error analysis in numerical methods); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Nat. Inst. for Sci. and Tech. Creation, Bucharest, Romania", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posterior error bounds; a priori error bounds; Banach spaces; convergence of numerical methods; error analysis; nonlinear equations; numerical stability; secant method", treatment = "T Theoretical or Mathematical", } @Article{Bakker:1982:NGM, author = "Miente Bakker", title = "A note on ${C}^\circ$ {Galerkin} methods for two-point boundary problems", journal = j-NUM-MATH, volume = "38", number = "3", pages = "447--453", month = mar, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83e:65140", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0220 (Mathematical analysis); B0290F (Interpolation and function approximation); B0290P (Differential equations); B0290R (Integral equations); C1110 (Algebra); C1120 (Mathematical analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Math. Centrum, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; C Degrees Galerkin methods; convergence; convergence of numerical methods; finite element analysis; finite element space; Gauss--Legendre points; Lobatto points; piecewise polynomial functions; polynomials; two-point boundary problems", treatment = "T Theoretical or Mathematical", } @Article{Ponisch:1982:LUK, author = "Gerd P{\"o}nisch and Hubert Schwetlick", title = "{Ein lokal {\"u}berlinear konvergentes Verfahren zur Bestimmung von {R}{\"u}ckkehrpunkten implizit definierter Raumkurven}. ({German}) [{A} locally superlinearly convergent method for computing turning points of implicitly defined space curves]", journal = j-NUM-MATH, volume = "38", number = "3", pages = "455--465", month = mar, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83j:65058", MRreviewer = "John B. Kioustelidis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); B1160 (Nonlinear network analysis and design); C1120 (Mathematical analysis); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Sektion Math., Tech. Univ. Dresden, Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; convergence; convergence of numerical methods; cubic Hermite interpolation; equations; interpolation; iterative methods; local parametrisation; minimisation; nonlinear equations; nonlinear network analysis; nonlinear resistive circuits; nonlinear system; numerical technique; real function; space curve; turning points", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Gekeler:1982:SBD, author = "Eckart Gekeler", title = "On the stability of backward differentiation methods", journal = j-NUM-MATH, volume = "38", number = "3", pages = "467--471", month = mar, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "83d:65237", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0220 (Mathematical analysis); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C1110 (Algebra); C1120 (Mathematical analysis); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4160 (Numerical integration and differentiation)", corpsource = "Math. Inst. A, Univ. Stuttgart, Stuttgart, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; backward differentiation; convergence of numerical methods; differentiation; linear systems; matrix algebra; real symmetric matrix; stability", treatment = "T Theoretical or Mathematical", } @Article{Gasca:1982:LHI, author = "M. Gasca and J. I. Maeztu", title = "On {Lagrange} and {Hermite} interpolation in ${\bf R}^{k}$", journal = j-NUM-MATH, volume = "39", number = "1", pages = "1--14", month = jun, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (41A05 41A63)", MRnumber = "83g:65012", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bernardi:1982:AHB, author = "C. Bernardi", title = "Approximation of {Hopf} bifurcation", journal = j-NUM-MATH, volume = "39", number = "1", pages = "15--37", month = jun, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "58F14 (58E07 65L60)", MRnumber = "83j:58083", MRreviewer = "Tassilo K{\"u}pper", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Han:1982:NSI, author = "Houde Han", title = "The numerical solutions of interface problems by infinite element method", journal = j-NUM-MATH, volume = "39", number = "1", pages = "39--50", month = jun, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N50)", MRnumber = "83g:65108", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dryja:1982:CMM, author = "Maksymilian Dryja", title = "A capacitance matrix method for {Dirichlet} problem on polygon region", journal = j-NUM-MATH, volume = "39", number = "1", pages = "51--64", month = jun, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20 (65F05 65F10)", MRnumber = "83g:65102", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. of Informatics, Univ. of Warsaw, Warsaw, Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "capacitance matrix equations; capacitance matrix method; Dirichlet problem; finite element analysis; finite element method; linear algebra; linear equations", treatment = "T Theoretical or Mathematical", } @Article{vonGolitschek:1982:OCD, author = "M. von Golitschek", title = "Optimal cycles in double weighted graphs and approximation of bivariate functions by univariate ones", journal = j-NUM-MATH, volume = "39", number = "1", pages = "65--84", month = jun, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A45 (65D15)", MRnumber = "83m:41019", MRreviewer = "William A. Light", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math. und Statistik, Univ. Wurzburg, Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation of bivariate functions; bivariate functions; directed graphs; doubly weighted directed graph; function approximation; optimal cycles", treatment = "T Theoretical or Mathematical", } @Article{Geurts:1982:CTC, author = "A. J. Geurts", title = "A Contribution to the Theory of Condition", journal = j-NUM-MATH, volume = "39", number = "1", pages = "85--96", month = jun, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35", MRnumber = "83g:65046", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nedelec:1982:EFM, author = "J.-C. N{\'e}d{\'e}lec", title = "{\'E}l{\'e}ments finis mixtes incompressibles pour l'{\'e}quation de {Stokes} dans ${\bf R}^{3}$. ({French}) [{Incompressible} mixed finite elements for the {Stokes} equation in ${\bf R}^{3}$]", journal = j-NUM-MATH, volume = "39", number = "1", pages = "97--112", month = jun, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "83g:65111", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0340G (Fluid dynamics: general mathematical aspects)", corpsource = "Centre de Math. Appliqu{\'e}es, {\'E}cole Polytech., Palaiseau, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; incompressibility condition; mixed finite elements; Navier Stokes equations; Navier--Stokes equations; Stokes equations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1982:CSS, author = "G. Alefeld", title = "On the convergence of the symmetric {SOR} method for matrices with red-black ordering", journal = j-NUM-MATH, volume = "39", number = "1", pages = "113--117", month = jun, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (15A48)", MRnumber = "83h:65038", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Griewank:1982:PVM, author = "A. Griewank and Ph. L. Toint", title = "Partitioned variable metric updates for large structured optimization problems", journal = j-NUM-MATH, volume = "39", number = "1", pages = "119--137", month = jun, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (49D37 90C30)", MRnumber = "83k:65054", MRreviewer = "Albert Buckley", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Dept. of Appl. Math. and Theoretical Phys., Univ. of Cambridge, Cambridge, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Hessian matrix; matrix algebra; minimisation; minimization method; structured optimization problems", treatment = "T Theoretical or Mathematical", } @Article{VandeVel:1982:HCM, author = "H. {Van de Vel}", title = "The {Haar} condition and multiplicity of zeros", journal = j-NUM-MATH, volume = "39", number = "1", pages = "139--153", month = jun, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A99", MRnumber = "83h:41037", MRreviewer = "J. Albrycht", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Jeltsch:1982:EET, author = "R. Jeltsch and O. Nevanlinna", title = "Erratum: {{``Stability of explicit time discretizations for solving initial value problems''} [Numer. Math. {\bf 37} (1981), no. 1, 61--91 and MR 82g:65042]}", journal = j-NUM-MATH, volume = "39", number = "1", pages = "155--155", month = jun, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20", MRnumber = "83g:65084", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Jeltsch:1981:SET}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Shirey:1982:MEQ, author = "James E. Shirey", title = "Minimization of extended quadratic functions", journal = j-NUM-MATH, volume = "39", number = "2", pages = "157--161", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C30 (65K05)", MRnumber = "84f:90088", MRreviewer = "L. Grippo", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Alefeld:1982:KVD, author = "G. Alefeld", title = "{Zur Konvergenz eines Verfahrens von D. J. Evans zur iterativen Verbesserung einer N{\"a}herung f{\"u}r die inverse Matrix}. ({German}) [{On} the convergence of {D. J. Evans}' implicit matrix inversion process]", journal = j-NUM-MATH, volume = "39", number = "2", pages = "163--173", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "83h:65039", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Lai:1982:EBN, author = "Hang Chin Lai and Pou Yah Wu", title = "Error bounds of {Newton} type process on {Banach} spaces", journal = j-NUM-MATH, volume = "39", number = "2", pages = "175--193", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (47H17 58C15)", MRnumber = "83j:65067", MRreviewer = "Florian A. Potra", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hubner:1982:ALD, author = "Otto H{\"u}bner", title = "{{\"U}ber die Anzahl der L{\"o}sungen der diskreten Theodorsen-Gleichung}. ({German}) [{On} the number of solutions of the discrete {Theodorsen} equation]", journal = j-NUM-MATH, volume = "39", number = "2", pages = "195--204", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30 (65H10 65R20)", MRnumber = "83k:30007", MRreviewer = "Helmut Bra{\ss}", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Canuto:1982:ACF, author = "C. Canuto and Y. Maday and A. Quarteroni", title = "Analysis of the combined finite element and {Fourier} interpolation", journal = j-NUM-MATH, volume = "39", number = "2", pages = "205--220", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (42A15)", MRnumber = "84a:65089", MRreviewer = "David F. Griffiths", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Jackiewicz:1982:AMN, author = "Zdzis{\l}aw Jackiewicz", title = "{Adams} methods for neutral functional-differential equations", journal = j-NUM-MATH, volume = "39", number = "2", pages = "221--230", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "83h:65085", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Dept. of Maths. and Statistics, Univ. of South Carolina, Columbia, SC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Adams methods; convergence; convergence of numerical methods; differential equations; functional equations; k step methods; neutral functional differential equations", treatment = "T Theoretical or Mathematical", } @Article{Greaves:1982:AHM, author = "G. Greaves", title = "An algorithm for the {Hausdorff} moment problem", journal = j-NUM-MATH, volume = "39", number = "2", pages = "231--238", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15 (41A10 65B05)", MRnumber = "83k:65013", MRreviewer = "H. E. Fettis", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Shapiro:1982:OSM, author = "Alexander Shapiro", title = "Optimally Scaled Matrices, Necessary and Sufficient Conditions", journal = j-NUM-MATH, volume = "39", number = "2", pages = "239--245", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35", MRnumber = "84j:65036", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hairer:1982:CCS, author = "E. Hairer", title = "Constructive characterization of ${A}$-stable approximations to ${\rm exp}(z)$ and its connection with algebraically stable {Runge--Kutta} methods", journal = j-NUM-MATH, volume = "39", number = "2", pages = "247--258", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (65D20 65L07)", MRnumber = "83m:65055", MRreviewer = "Rolf Jeltsch", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lyness:1982:QQR, author = "J. N. Lyness and Luigi Gatteschi", title = "On quasidegree quadrature rules", journal = j-NUM-MATH, volume = "39", number = "2", pages = "259--267", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "83m:65021", MRreviewer = "Hans Strauss", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Braess:1982:NTS, author = "D. Braess and E. Zehnder", title = "On the numerical treatment of a small divisor problem", journal = j-NUM-MATH, volume = "39", number = "2", pages = "269--292", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "83j:65082", MRreviewer = "Helmut R{\"u}ssmann", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schaback:1982:FFK, author = "R. Schaback", title = "{Fehlerabsch{\"a}tzungen f{\"u}r Koeffizienten von Exponentialsummen und Polynomen}. ({German}) [{Error} estimates for coefficients of exponential sums and polynomials]", journal = j-NUM-MATH, volume = "39", number = "2", pages = "293--307", month = aug, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D20", MRnumber = "84b:65020", MRreviewer = "Dietrich Braess", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Israeli:1982:INS, author = "Moshe Israeli and Marius Ungarish", title = "Improvement of numerical solution of boundary layer problems by incorporation of asymptotic approximations", journal = j-NUM-MATH, volume = "39", number = "3", pages = "309--324", month = oct, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (34E15)", MRnumber = "83m:65064", MRreviewer = "Pietro Marzulli", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Computer Sci. Dept., Technion, Israel Inst. of Technol., Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; asymptotic approximations; boundary layer problems; boundary-value problems; differential equations; linear differential equations; linear second order ODEs; numerical solution; perturbation theory; singular perturbation problems", treatment = "T Theoretical or Mathematical", } @Article{ElTarazi:1982:SCR, author = "Mouhamed Nabih {El Tarazi}", title = "Some convergence results for asynchronous algorithms. ({French}) [{Des} r{\'e}sultats de convergence des algorithmes asynchrones]", journal = j-NUM-MATH, volume = "39", number = "3", pages = "325--340", month = oct, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (65J15)", MRnumber = "84a:65041", MRreviewer = "Jos{\'e} Mario Mart{\'i}nez", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Curiously, the title of this paper is in English, while the body is in French!", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); B0290K (Nonlinear and functional equations); C1120 (Mathematical analysis); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Faculty of Sci., Kuwait Univ., Kuwait", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asynchronous algorithms; classical contraction; convergence; convergence of numerical methods; functional equations; functional inequalities; vectorial norm hypothesis; vectors", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Chawla:1982:FDM, author = "M. M. Chawla and C. P. Katti", title = "Finite difference methods and their convergence for a class of singular two-point boundary value problems", journal = j-NUM-MATH, volume = "39", number = "3", pages = "341--350", month = oct, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "84e:65078", MRreviewer = "K. Balla", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math. Sci., New Mexico State Univ., Las Cruces, NM, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; boundary-value problems; convergence; convergence of numerical methods; difference equations; function approximation; nonuniform mesh; singular two-point boundary value problems; three-point finite difference approximations; uniform mesh", treatment = "T Theoretical or Mathematical", } @Article{Wong:1982:QFO, author = "R. Wong", title = "Quadrature formulas for oscillatory integral transforms", journal = j-NUM-MATH, volume = "39", number = "3", pages = "351--360", month = oct, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R10 (41A55 41A60)", MRnumber = "84a:65102", MRreviewer = "A. J. Rodrigues", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290Z (Other numerical methods); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4190 (Other numerical methods)", corpsource = "Dept. of Math., Univ. of Manitoba, Winnipeg, Man., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; asymptotic approximations; asymptotic expansions; Bessel transforms; error analysis; error bounds; Fourier transforms; integration; oscillatory integral transforms; quadrature formulas; transforms", treatment = "T Theoretical or Mathematical", } @Article{Hari:1982:GCE, author = "V. Hari", title = "On the global convergence of the {Eberlein} method for real matrices", journal = j-NUM-MATH, volume = "39", number = "3", pages = "361--369", month = oct, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "84c:65065", MRreviewer = "V. L. Makarov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Zagreb, Zagreb, Yugoslavia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; Eberlein diagonalisation process; fixed matrix; global convergence proof; matrix algebra; Murnaghan form; real matrices", treatment = "T Theoretical or Mathematical", } @Article{Reinhart:1982:NAK, author = "Laure Reinhart", title = "On the numerical analysis of the von {K}{\'a}rm{\'a}n equations: mixed finite element approximation and continuation techniques", journal = j-NUM-MATH, volume = "39", number = "3", pages = "371--404", month = oct, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73K25 (65N30)", MRnumber = "84f:73039", MRreviewer = "Ranbir S. Sandhu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "INRIA, Le Chesnay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; continuation method; convergence of numerical methods; equations; finite element analysis; first eigenvalue; linearized problem; mixed finite element approximation; von Karman equations", treatment = "T Theoretical or Mathematical", } @Article{Sikorski:1982:OQA, author = "K. Sikorski", title = "Optimal quadrature algorithms in {$ H_p $} spaces", journal = j-NUM-MATH, volume = "39", number = "3", pages = "405--410", month = oct, year = "1982", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01407871", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (41A55)", MRnumber = "84c:65045", MRreviewer = "B. Boyanov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/nummath.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "https://link.springer.com/article/10.1007/BF01407871", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; complex plane; conformal map; F. Stenger; function approximation; integration; optimal error quadrature; simply connected domain; unit disc", treatment = "T Theoretical or Mathematical", } @Article{Opfer:1982:SCA, author = "Gerhard Opfer", title = "Solving complex approximation problems by semiinfinite-finite optimization techniques: a study of convergence", journal = j-NUM-MATH, volume = "39", number = "3", pages = "411--420", month = oct, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15", MRnumber = "84c:65035", MRreviewer = "Sven-\.Ake Gustafson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Hamburg, Hamburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; complex approximation problems; convergence; convergence of numerical methods; disturbed problem; finite optimization; optimisation; semiinfinite optimization", treatment = "T Theoretical or Mathematical", } @Article{Kutz:1982:MIQ, author = "Martin K{\"u}tz", title = "Monotony in interpolatory quadratures", journal = j-NUM-MATH, volume = "39", number = "3", pages = "421--428", month = oct, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30", MRnumber = "84b:65023", MRreviewer = "T. H. Lim", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Lehrstuhl E f{\"u}r Math., Tech. Univ. Braunschweig, Braunschweig, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Clenshaw--Curtis quadrature rule; even weight function; Filippi's quadrature rule; holomorphic function; integration; interpolation; interpolatory quadratures; monotony; polynomials; zeros of orthogonal polynomials", treatment = "T Theoretical or Mathematical", } @Article{Griewank:1982:LCA, author = "A. Griewank and Ph. L. Toint", title = "Local convergence analysis for partitioned {quasi-Newton} updates", journal = j-NUM-MATH, volume = "39", number = "3", pages = "429--448", month = oct, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (65K05)", MRnumber = "84b:65062", MRreviewer = "J. E. Dennis, Jr.", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Southern Math., Methodist Univ., Dallas, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; bounded deterioration principle; convergence of numerical methods; convex Broyden class; Hessian approximations; inexact partitioned variable metric method; linear convergence; local convergence; nonlinear equations; optimisation; partially separable objective functions; partitioned quasi-Newton updates; Q-superlinear convergence", treatment = "T Theoretical or Mathematical", } @Article{Multhei:1982:MKN, author = "H. N. M{\"u}lthei", title = "{Maximale Konvergenzordnung bei der numerischen L{\"o}sung von Anfangswertproblemen mit Splines}. ({German}) [{Maximal} order of convergence in the numerical solution of initial value problems with splines]", journal = j-NUM-MATH, volume = "39", number = "3", pages = "449--463", month = oct, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "84c:65098", MRreviewer = "W. S. Loud", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Johannes Gutenberg-Univ. Mainz, Main, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; collocation; convergence of numerical methods; differential equations; first order ordinary differential equations; initial value problems; maximal order of convergence; spline approximations; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Bernadou:1982:AGA, author = "M. Bernadou and Y. Ducatel", title = "Approximation of general arch problems by straight beam elements (elasticity)", journal = j-NUM-MATH, volume = "40", number = "1", pages = "1--29", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73K25 (65N10)", MRnumber = "84d:73049", MRreviewer = "Ranbir S. Sandhu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4620 (Continuum mechanics); A4630C (Elasticity)", corpsource = "INRIA, Domaine de Voluceau-Rocquencourt, Le Chesnay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "classical mechanics of continuous media; convergence; convergence of numerical methods; elasticity; finite element analysis; finite element methods; general arch problems; integration; mesh points; nonconforming method; numerical integration; straight beam elements", treatment = "T Theoretical or Mathematical", } @Article{Levin:1982:OQF, author = "Moshe Levin", title = "Optimal quadrature formula of {Markov}'s and {Locher}'s type with weight function", journal = j-NUM-MATH, volume = "40", number = "1", pages = "31--37", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "84c:65050", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "School of Math. Sci., Tel-Aviv Univ., Tel Aviv, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integration; Locher's type; Markov's type; optimal quadrature formula; properties of formulae; weight function", treatment = "T Theoretical or Mathematical", } @Article{Cuyt:1982:AMP, author = "Annie A. M. Cuyt", title = "The $\varepsilon$-algorithm and multivariate {Pad{\'e}}-approximants", journal = j-NUM-MATH, volume = "40", number = "1", pages = "39--46", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15", MRnumber = "84e:65020", MRreviewer = "J. Della Dora", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Antwerp, Wilrijk, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "epsilon-algorithm; function approximation; multivariate Pad{\'e}-approximants; partial sums; power series; Wynn", treatment = "T Theoretical or Mathematical", } @Article{Rath:1982:FGR, author = "Wolfgang Rath", title = "Fast {Givens} Rotations for Orthogonal Similarity Transformations", journal = j-NUM-MATH, volume = "40", number = "1", pages = "47--56", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F25 (65F30)", MRnumber = "84e:65038", MRreviewer = "N. N. Abdelmalek", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "fast Givens rotations; Hessenberg form; Hessenberg matrices; Householder reflexions; Jacobi method; matrix algebra; matrix notation; orthogonal similarity transformations; QR-algorithm; reduction; sparse matrices", treatment = "T Theoretical or Mathematical", } @Article{Funderlic:1982:DGD, author = "R. E. Funderlic and M. Neumann and R. J. Plemmons", title = "{$LU$} Decompositions of Generalized Diagonally Dominant Matrices", journal = j-NUM-MATH, volume = "40", number = "1", pages = "57--69", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (90B99)", MRnumber = "84i:65034", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Math. and Statistics Res. Dept., Union Carbide Corp., Oak Ridge, TN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "compartmental systems; convergence of numerical methods; diagonal dominance; economics; existence; Gaussian elimination; generalized diagonally dominant matrices; homogeneous systems; input-output models; linear equations; LU decompositions; M-matrices; Markov queueing networks; matrix algebra; nla; stability", treatment = "T Theoretical or Mathematical", } @Article{Dikshit:1982:DCS, author = "H. P. Dikshit and P. Powar", title = "Discrete cubic spline interpolation", journal = j-NUM-MATH, volume = "40", number = "1", pages = "71--78", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07 (41A15)", MRnumber = "84b:65013", MRreviewer = "K. Jetter", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Alberta, Edmonton, Alta., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary conditions; continuous periodic cubic splines; convergence; convergence of numerical methods; discrete cubic splines; existence; function approximation; interpolation; mesh interval; splines (mathematics); uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Dohler:1982:NGS, author = "B. D{\"o}hler", title = "{Ein neues Gradientenverfahren zur simultanen Berechnung der kleinsten oder gr{\"o}{\ss}ten Eigenwerte des allgemeinen Eigenwertproblems}. ({German}) [{A} new gradient method for the simultaneous calculation of the smallest or largest eigenvalues of the general eigenvalue problem]", journal = j-NUM-MATH, volume = "40", number = "1", pages = "79--91", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "84a:65029", MRreviewer = "Ludwig Elsner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Sektion Math., Tech. Hochschule Karl-Marx-Stadt, Karl-Marx-Stadt, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "clustered eigenvalues; conjugate gradient method; eigenvalue problem; eigenvalues and eigenfunctions; eigenvectors; large symmetric matrices; matrix algebra; minimisation; Rayleigh quotient", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Seewald:1982:QDA, author = "Wolfgang Seewald", title = "{Quotienten-Differenzen-Algorithmus: Beweis der Regeln von Rutishauser}. ({German}) [{Quotient-difference algorithm: proof of Rutishauser's rule}]", journal = j-NUM-MATH, volume = "40", number = "1", pages = "93--98", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65E05 (30D30 65D15)", MRnumber = "84i:65033", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "ETH Zurich, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; function approximation; meromorphic function; poles; polynomials; power series; quotient-difference algorithm; Rutishauser's rule", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Korner:1982:ELB, author = "Frank K{\"o}rner and Claus Richter", title = "{Zur effektiven L{\"o}sung von booleschen, quadratischen Optimierungsproblemen}. ({German}) [{On} the efficient solution of {Boolean} quadratic programming problems]", journal = j-NUM-MATH, volume = "40", number = "1", pages = "99--109", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C09 (49D07 65K05)", MRnumber = "84e:90066", MRreviewer = "D. Klatte", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Sektion Math., Tech. Univ. Dresden, Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Boolean quadratic programming problem; branch and bound process; dual; objective function; optimal value; quadratic programming", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Sikorski:1982:BO, author = "K. Sikorski", title = "Bisection is optimal", journal = j-NUM-MATH, volume = "40", number = "1", pages = "111--117", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "84g:65063", MRreviewer = "Adam Bojanczyk", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive evaluations; approximation; arbitrary linear functionals; continuous function; function approximation; function evaluation; function evaluations; optimal bisection; zero", treatment = "T Theoretical or Mathematical", } @Article{Lubich:1982:RKT, author = "Ch. Lubich", title = "{Runge--Kutta} theory for {Volterra} integro-differential equations", journal = j-NUM-MATH, volume = "40", number = "1", pages = "119--135", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "84c:65156", MRreviewer = "H. Brunner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Heidelberg, Heidelberg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error expansions; coefficients; convergence of numerical methods; error analysis; global convergence; integro-differential equations; local order; order 4; Runge--Kutta methods; Runge--Kutta theory; Volterra integrodifferential equations", treatment = "T Theoretical or Mathematical", } @Article{Dixon:1982:ESL, author = "John D. Dixon", title = "Exact solution of linear equations using {$P$}-adic expansions", journal = j-NUM-MATH, volume = "40", number = "1", pages = "137--141", month = nov, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (10A30 10M10 15A06 15A36)", MRnumber = "83m:65025", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math. and Statistics, Carleton Univ., Ottawa, Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; exact rational solution; integer coefficients; iterations; iterative methods; linear algebra; linear equations; P-adic expansions", treatment = "T Theoretical or Mathematical", } @Article{Remar:1982:AFS, author = "Jaroslav Remar and John C. {Bruch, Jr.} and James M. Sloss", title = "Axisymmetric free surface seepage", journal = j-NUM-MATH, volume = "40", number = "2", pages = "143--168", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76S05 (65N05 65N20 76-08)", MRnumber = "84a:76041", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Saworin:1982:EEN, author = "A. N. Saworin", title = "{{\"U}ber die Effektivit{\"a}t einiger nichtlinearer Verfahren bei der numerischen Behandlung steifer Differentialgleichungssysteme}. ({German}) [{On} the efficiency of some nonlinear methods for the numerical solution of systems of stiff differential equations]", journal = j-NUM-MATH, volume = "40", number = "2", pages = "169--177", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "84e:65074", MRreviewer = "Syvert P. N{\o}rsett", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Rechenzentrum, Lettlandischen Staatlichen Univ., Riga, Latvian SSR, USSR", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accuracy; convergence of numerical methods; differential equations; efficiency; error; error analysis; integration; nonlinear methods; numerical integration; ordinary differential equations; stability; stiff systems", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Fage:1982:ATD, author = "D. Fag{\'e}", title = "Approximation of time-dependent free boundaries", journal = j-NUM-MATH, volume = "40", number = "2", pages = "179--199", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49A29 (65N30)", MRnumber = "85c:49007", MRreviewer = "Russell C. Thompson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); B0290P (Differential equations); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Computing Centre, Novosibirsk, USSR", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; boundary-value problems; elliptic variational inequalities; functional equations; functionals; moving obstacle algorithm; numerical solution; Stefan problem; time-dependent free boundaries; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Yamamoto:1982:EBC, author = "Tetsuro Yamamoto", title = "Error bounds for computed eigenvalues and eigenvectors. {II}", journal = j-NUM-MATH, volume = "40", number = "2", pages = "201--206", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (65H10)", MRnumber = "84d:65023", MRreviewer = "Ludwig Elsner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Ehime Univ., Matsuyama, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computed eigenvalue; computed eigenvector; eigenvalues and eigenfunctions; error analysis; error bounds; matrix; matrix algebra; Symm-Wilkinson's procedure", treatment = "T Theoretical or Mathematical", } @Article{Hohn:1982:FEP, author = "W. H{\"o}hn", title = "Finite elements for parabolic equations backwards in time", journal = j-NUM-MATH, volume = "40", number = "2", pages = "207--227", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M99 (65M05 65M60)", MRnumber = "84d:65071", MRreviewer = "David F. Griffiths", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Fachbereich Math., Tech. Hochschule Darmstadt, Darmstadt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problem in time; boundary-value problems; differential equations; error; error analysis; finite element analysis; finite elements; parabolic equations backwards in time; regularisation; time discretisation", treatment = "T Theoretical or Mathematical", } @Article{Strauss:1982:UBO, author = "Hans Strau{\ss}", title = "Unicity of best one-sided {$L_1$}-approximations", journal = j-NUM-MATH, volume = "40", number = "2", pages = "229--243", month = dec, year = "1982", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01400541", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A50 (41A52 65D10)", MRnumber = "84b:41024", MRreviewer = "Allan Pinkus", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Jeltsch:1982:SAT, author = "Rolf Jeltsch and Olavi Nevanlinna", title = "Stability and accuracy of time discretizations for initial value problems", journal = j-NUM-MATH, volume = "40", number = "2", pages = "245--296", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "84c:65096", MRreviewer = "Syvert P. N{\o}rsett", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stewart:1982:CDP, author = "G. W. Stewart", title = "Computing the {$CS$} decomposition of a partitioned orthonormal matrix", journal = j-NUM-MATH, volume = "40", number = "3", pages = "297--306", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F25 (65F30)", MRnumber = "84h:65042", MRreviewer = "John Todd", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "CS decomposition; matrix algebra; orthogonal transformations; partitioned orthonormal matrix", treatment = "T Theoretical or Mathematical", } @Article{Brannigan:1982:SCS, author = "M. Brannigan", title = "The strict {Chebyshev} solution of overdetermined systems of linear equations with rank deficient matrix", journal = j-NUM-MATH, volume = "40", number = "3", pages = "307--318", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20 (41A50)", MRnumber = "84f:65031", MRreviewer = "F. Szidarovszky", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Statistics and Computer Sci., Univ. of Georgia, Athens, GA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "ascent exchange algorithm; Chebyshev approximation; Chebyshev solution; linear equations; matrix algebra; overdetermined systems; rank deficient matrix", treatment = "T Theoretical or Mathematical", } @Article{Muller:1982:DME, author = "Rolf E. M{\"u}ller", title = "Discretization of multiparameter eigenvalue problems", journal = j-NUM-MATH, volume = "40", number = "3", pages = "319--328", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J05 (47A50 47A70)", MRnumber = "85g:65070", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cash:1982:IAS, author = "J. R. Cash", title = "On improving the absolute stability of local extrapolation", journal = j-NUM-MATH, volume = "40", number = "3", pages = "329--337", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "84e:65063", MRreviewer = "J. Sprekels", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bieterman:1982:FEMa, author = "M. Bieterman and I. Babu{\v{s}}ka", title = "The finite element method for parabolic equations. {I}. {A} posteriori error estimation", journal = j-NUM-MATH, volume = "40", number = "3", pages = "339--371", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (65M20 65N30)", MRnumber = "85d:65052a", MRreviewer = "E. H. Twizell", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Lab. of Appl. Studies, Nat. Inst. of Health, Bethesda, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error estimator; finite element analysis; finite element method; method of lines; parabolic equations; partial differential equation; partial differential equations; space discretization error; time-independent space meshes", treatment = "T Theoretical or Mathematical", } @Article{Bieterman:1982:FEMb, author = "M. Bieterman and I. Babu{\v{s}}ka", title = "The finite element method for parabolic equations. {II}. {A} posteriori error estimation and adaptive approach", journal = j-NUM-MATH, volume = "40", number = "3", pages = "373--406", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (65M20 65N30)", MRnumber = "85d:65052b", MRreviewer = "E. H. Twizell", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Lab. of Appl. Studies, Nat. Inst. of Health, Bethesda, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive construction; finite element analysis; finite element method; parabolic equations; partial differential equations; space discretization error; time-dependent meshes", treatment = "T Theoretical or Mathematical", } @Article{Kautsky:1982:CWI, author = "J. Kautsk{\'y} and S. Elhay", title = "Calculation of the Weights of Interpolatory Quadratures", journal = j-NUM-MATH, volume = "40", number = "3", pages = "407--422", month = dec, year = "1982", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (65F15)", MRnumber = "85a:65040", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hilali:1983:RSD, author = "Abdelaziz Hilali", title = "{R}{\'e}ductibilit{\'e} d'un syst{\`e}me diff{\'e}rentiel lin{\'e}aire. ({French}) [{Reducibility} of a linear differential system]", journal = j-NUM-MATH, volume = "41", number = "1", pages = "1--17", month = apr, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "34C20 (34A30)", MRnumber = "84h:34060", MRreviewer = "Z. Kowalski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Lab. IMAG, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; computer algebra system; irreducible form; J. Moser criterion; linear differential equations; linear differential system; matrix algebra; reducibility; regularity; singular point", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Vogelius:1983:RID, author = "Michael Vogelius", title = "A right-inverse for the divergence operator in spaces of piecewise polynomials. Application to the $p$-version of the finite element method", journal = j-NUM-MATH, volume = "41", number = "1", pages = "19--37", month = apr, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K25)", MRnumber = "85f:65113a", MRreviewer = "N. Gass", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Vogelius:1983:AVF, author = "Michael Vogelius", title = "An analysis of the $p$-version of the finite element method for nearly incompressible materials. Uniformly valid, optimal error estimates", journal = j-NUM-MATH, volume = "41", number = "1", pages = "39--53", month = apr, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K25)", MRnumber = "85f:65113b", MRreviewer = "N. Gass", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brilla:1983:EAL, author = "Jozef Brilla", title = "Error analysis for {Laplace} transform---finite element solution of hyperbolic equations", journal = j-NUM-MATH, volume = "41", number = "1", pages = "55--62", month = apr, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (65M15)", MRnumber = "84g:65130", MRreviewer = "David F. Griffiths", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290D (Functional analysis); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4170 (Differential equations)", corpsource = "Inst. of Appl. Math. and Computing Technique, Comenius Univ., Bratislava, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error estimates; finite element analysis; finite element method; functional analysis; functions; Hardy spaces; hyperbolic equations; isometric isomorphism; Laplace transform; Laplace transforms; partial differential equations; Sobolev spaces; time variable; weighted Hilbert spaces", treatment = "T Theoretical or Mathematical", } @Article{Temme:1983:NCC, author = "N. M. Temme", title = "The numerical computation of the confluent hypergeometric function ${U}(a,\,b,\,z)$", journal = j-NUM-MATH, volume = "41", number = "1", pages = "63--82", month = apr, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D20 (33A30 65D15)", MRnumber = "84g:65030", MRreviewer = "H. E. Fettis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C7310 (Mathematics computing)", corpsource = "Math. Centrum, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "ALGOL 60 procedures; asymptotic expansions; confluent hypergeometric function; function computation; function evaluation; Miller algorithm; subroutines", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Censor:1983:SUK, author = "Yair Censor and Paul P. B. Eggermont and Dan Gordon", title = "Strong underrelaxation in Kaczmarz's method for inconsistent systems", journal = j-NUM-MATH, volume = "41", number = "1", pages = "83--92", month = apr, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20", MRnumber = "84h:65040", MRreviewer = "Steven M. Serbin", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Seydel:1983:BSB, author = "R. Seydel", title = "Branch switching in bifurcation problems for ordinary differential equations", journal = j-NUM-MATH, volume = "41", number = "1", pages = "93--116", month = apr, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (58F14)", MRnumber = "84g:65105", MRreviewer = "Hj. Wacker", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Maths. Inst., Tech. Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; bifurcation problems; boundary-value problems; branch switching; emanating solutions; global continuation; initial approximation; nonlinear differential equations; nonlocal methods; ordinary differential equations; standard software", treatment = "T Theoretical or Mathematical", } @Article{Nurnberger:1983:RTA, author = "G{\"u}nther N{\"u}rnberger and Manfred Sommer", title = "A {Remez} type algorithm for spline functions", journal = j-NUM-MATH, volume = "41", number = "1", pages = "117--146", month = apr, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07 (41A15 65D15)", MRnumber = "85d:65013", MRreviewer = "S. Dubuc", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Erlangen-N{\"u}rnberg, Erlangen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "best spline approximations; free knots; function approximation; interpolation; Remez type algorithm; sequence; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Golub:1983:CGQ, author = "G. H. Golub and J. Kautsk{\'y}", title = "Calculation of {Gauss} quadratures with multiple free and fixed knots", journal = j-NUM-MATH, volume = "41", number = "2", pages = "147--163", month = jun, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (65F15)", MRnumber = "84i:65030", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Computer Sci., Stanford Univ., Stanford, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithms; fixed knots; Gauss knots; Gauss quadratures; integration; Jacobi matrix; quadratic convergence; theory", subject = "G.1.4 Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation, Gaussian quadrature", treatment = "T Theoretical or Mathematical", } @Article{Shampine:1983:SEM, author = "Lawrence F. Shampine and Lorraine S. Baca", title = "Smoothing the extrapolated midpoint rule", journal = j-NUM-MATH, volume = "41", number = "2", pages = "165--175", month = jun, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (65L07 65L20)", MRnumber = "84m:65087", MRreviewer = "H. Brunner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Numerical Math. Div., Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; extrapolated midpoint rule; initial value problem; initial value problems; ordinary differential equations; smoothing scheme", treatment = "T Theoretical or Mathematical", } @Article{Niethammer:1983:ASI, author = "W. Niethammer and R. S. Varga", title = "The analysis of $k$-step iterative methods for linear systems from summability theory", journal = j-NUM-MATH, volume = "41", number = "2", pages = "177--206", month = jun, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (40G05)", MRnumber = "85a:65059", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Praktische Math., Univ. Karlsruhe, Karlsruhe, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iter; iterative methods; linear algebra; linear system; linear systems; nla; summability theory; theory of Euler methods", treatment = "T Theoretical or Mathematical", } @Article{Nurnberger:1983:ABS, author = "G{\"u}nther N{\"u}rnberger and Manfred Sommer", title = "Alternation for best spline approximations", journal = j-NUM-MATH, volume = "41", number = "2", pages = "207--221", month = jun, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (65D07)", MRnumber = "85b:41015", MRreviewer = "John B. Kioustelidis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Erlangen, Erlangen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "best approximations; best spline approximations; Remez type algorithm; spline approximations; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Niederdrenk:1983:GSS, author = "Klaus Niederdrenk and Harry Yserentant", title = "{Die gleichm{\"a}{\ss}ige Stabilit{\"a}t singul{\"a}r gest{\"o}rter diskreter und kontinuierlicher Randwertprobleme}. ({German}) [{The} uniform stability of singularly perturbed discrete and continuous boundary value problems]", journal = j-NUM-MATH, volume = "41", number = "2", pages = "223--253", month = jun, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L07 (34E15)", MRnumber = "84j:65049", MRreviewer = "K. Balla", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "RWTH Aachen, Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; initial value problem; initial value problems; ordinary differential operators; singular perturbation problems; uniform stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Wagenfuhrer:1983:CEF, author = "Ekkehard Wagenf{\"u}hrer", title = "On calculating the eigenvalues of the finite {Hill}'s differential equation", journal = j-NUM-MATH, volume = "41", number = "2", pages = "255--279", month = jun, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L15 (34B30)", MRnumber = "84k:65089", MRreviewer = "K. Balla", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Univ. Regensburg, Regensburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; eigenvalue problem; eigenvalues and eigenfunctions; error analysis; finite Hill's differential equation; Mathieu's equation; Newton's iteration", treatment = "T Theoretical or Mathematical", } @Article{Cuyt:1983:ACT, author = "Annie A. M. Cuyt", title = "Accelerating the convergence of a table with multiple entry", journal = j-NUM-MATH, volume = "41", number = "2", pages = "281--286", month = jun, year = "1983", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01390216", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B99 (65D15)", MRnumber = "85a:65005", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Antwerp, Wilrijk, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of a row; convergence of a table; convergence of numerical methods; function approximation; univariate Pad{\'e}-approximants", treatment = "T Theoretical or Mathematical", } @Article{Hough:1983:IEM, author = "D. M. Hough and N. Papamichael", title = "An integral equation method for the numerical conformal mapping of interior, exterior and doubly-connected domains", journal = j-NUM-MATH, volume = "41", number = "3", pages = "287--307", month = jul, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30 (65E05)", MRnumber = "85e:30014", MRreviewer = "G. Opfer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4180 (Integral equations)", corpsource = "Div. of Math., Polytech. of the South Bank, London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "circular annulus; conformal maps; cubic splines; doubly-connected domains; exterior; integral equation; integral equations; interior; Jordan curve; mapping functions; numerical conformal mapping; numerical method; numerical methods; topology; unit disc", treatment = "T Theoretical or Mathematical", } @Article{Ziv:1983:SME, author = "Abraham Ziv", title = "A Stable Method for the Evaluation of a Polynomial and of a Rational Function of One Variable", journal = j-NUM-MATH, volume = "41", number = "3", pages = "309--319", month = jul, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D99", MRnumber = "85h:65060", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "IBM Israel Sci. Centre, Technion City, Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Horner's rule; polynomial; polynomials; rational function; stability; stable method", treatment = "T Theoretical or Mathematical", } @Article{Sun:1983:PBE, author = "Ji-guang Sun", title = "The perturbation bounds for eigenspaces of a definite matrix-pair", journal = j-NUM-MATH, volume = "41", number = "3", pages = "321--343", month = jul, year = "1983", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01418329", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (15A18)", MRnumber = "85c:65045", MRreviewer = "Ludwig Elsner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Computing Centre, Acad. Sinica, Peking, China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "definite matrix-pair; eigenspaces; eigenvalue; eigenvalues and eigenfunctions; Hermitian matrices; matrix algebra; perturbation bounds; perturbation techniques; unitary-invariant matrix", treatment = "T Theoretical or Mathematical", } @Article{Thomee:1983:MNS, author = "Vidar Thom{\'e}e and Lars B. Wahlbin", title = "Maximum-norm stability and error estimates in {Galerkin} methods for parabolic equations in one space variable", journal = j-NUM-MATH, volume = "41", number = "3", pages = "345--371", month = jul, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (65N30)", MRnumber = "85f:65099", MRreviewer = "Reinhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Chalmers Univ. of Technol., G{\"o}teborg, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; best approximation; error estimates; Galerkin methods; initial value problems; maximum-norm stability; nonsmooth data types; one space variable; parabolic equation; parabolic equations; partial differential equations; piecewise polynomial approximating functions; piecewise-linear techniques; polynomials; quasi-uniform mesh; stability", treatment = "T Theoretical or Mathematical", } @Article{Bader:1983:SIM, author = "G. Bader and P. Deuflhard", title = "A semi-implicit mid-point rule for stiff systems of ordinary differential equations", journal = j-NUM-MATH, volume = "41", number = "3", pages = "373--398", month = jul, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "85a:65098", MRreviewer = "David R. Hill", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Heidelberg, Heidelberg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; discretisation; integration; integrator; mid-point rule; numerical methods; numerical solution; ordinary differential equations; quadratic asymptotic expansion; semi-implicit extrapolation; stability; stiff systems", treatment = "T Theoretical or Mathematical", } @Article{Deuflhard:1983:OSC, author = "P. Deuflhard", title = "Order and stepsize control in extrapolation methods", journal = j-NUM-MATH, volume = "41", number = "3", pages = "399--422", month = jul, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (94A17)", MRnumber = "85b:65062", MRreviewer = "Kevin Burrage", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1260 (Information theory); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Heidelberg, Heidelberg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; differential equations; extrapolation; information theory; integration; joint order; locally optimal order; non-stiff integration; numerical comparisons; numerical methods; portability; reliability; robustness; Shannon; stepsize control; stiff integration", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1983:AIV, author = "Anonymous", title = "Author Index: {Volumes} 1--40 (1959--1982)", journal = j-NUM-MATH, volume = "41", number = "3", pages = "I--LII", month = jul, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "This appears as a separately-numbered section at the end of the issue.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dahlquist:1983:UPB, author = "Germund Dahlquist and Huang Mingyou and Randall LeVeque", title = "On the uniform power-boundedness of a family of matrices and the applications to one-leg and linear multistep methods", journal = j-NUM-MATH, volume = "42", number = "1", pages = "1--13", month = sep, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "85a:65103", MRreviewer = "David R. Hill", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Royal Inst. of Technol., Stockholm, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "absolute stability; contractivity analysis; difference equations; differential equations; linear multistep methods; matrices; matrix theorem; one-leg multistep methods; Riemann sphere; scalar test equation; uniform power-boundedness", treatment = "T Theoretical or Mathematical", } @Article{Bellen:1983:MMP, author = "A. Bellen", title = "Monotone methods for periodic solutions of second order scalar functional-differential equations", journal = j-NUM-MATH, volume = "42", number = "1", pages = "15--30", month = sep, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (34C25 34K10)", MRnumber = "85h:65157", MRreviewer = "A. de Castro Brzezicki", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Istituto di Matematica, Univ. di Trieste, Trieste, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; error analysis; functional equations; iterative method; monotone sequence; periodic solutions; second order scalar functional differential equations", treatment = "T Theoretical or Mathematical", } @Article{Kulkarni:1983:SCA, author = "R. P. Kulkarni and B. V. Limaye", title = "On the steps of convergence of approximate eigenvectors in the {Rayleigh--Schr{\"o}dinger} series", journal = j-NUM-MATH, volume = "42", number = "1", pages = "31--50", month = sep, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (34B25 47A70)", MRnumber = "85d:65037", MRreviewer = "Jacques Lemordant", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Maths., Indian Inst. of Technol., Bombay, India", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; iterative methods; series (mathematics); error bounds; convergence; approximate eigenvectors; Rayleigh--Schr{\"o}dinger series; iterative computation; iterative Galerkin method", treatment = "T Theoretical or Mathematical", } @Article{Wagatha:1983:APO, author = "Ludwig Wagatha", title = "Approximation of pseudodifferential operators in absorbing boundary conditions for hyperbolic equations", journal = j-NUM-MATH, volume = "42", number = "1", pages = "51--64", month = sep, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M05 (65M10)", MRnumber = "85i:65117", MRreviewer = "G. W. Hedstrom", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Maths. Inst., Ludwig-Maximilians-Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "absorbing boundary conditions; boundary-value problems; differential operators; hyperbolic equations; initial boundary value problems; least squares approximation; least squares approximations; pseudodifferential operators approximation; reflected energy; wave equation", treatment = "T Theoretical or Mathematical", } @Article{Hackbusch:1983:MGM, author = "W. Hackbusch and H. D. Mittelmann", title = "On multi-grid methods for variational inequalities", journal = j-NUM-MATH, volume = "42", number = "1", pages = "65--76", month = sep, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49A29 (65N30)", MRnumber = "84k:49010", MRreviewer = "Igor Bock", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Inst. f{\"u}r Informatik und Praktische Math., Univ. Kiel, Kiel, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence proof; finite-difference discretization; multigrid methods; variational inequalities; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Kress:1983:CNB, author = "R. Kre{\ss} and W. T. Spassov", title = "On the condition number of boundary integral operators for the exterior {Dirichlet} problem for the {Helmholtz} equation", journal = j-NUM-MATH, volume = "42", number = "1", pages = "77--95", month = sep, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (35J05 65N99)", MRnumber = "85d:65073", MRreviewer = "Rolf Leis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Numerische und Angewandte Math., G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary integral operators; boundary-value problems; condition number; exterior Dirichlet problem; Helmholtz equation; integral equation; integral equations; parameter coupling", treatment = "T Theoretical or Mathematical", } @Article{Abaffy:1983:ICG, author = "J{\'o}zsef Abaffy and Fridrich Sloboda", title = "Imperfect conjugate gradient algorithms for extended quadratic functions", journal = j-NUM-MATH, volume = "42", number = "1", pages = "97--105", month = sep, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K05", MRnumber = "85i:65076", MRreviewer = "J. Stoer", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Utreras:1983:NSF, author = "Florencio Utreras", title = "Natural spline functions, their associated eigenvalue problem", journal = j-NUM-MATH, volume = "42", number = "1", pages = "107--117", month = sep, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07 (41A15)", MRnumber = "86c:65013", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. de Matematicas, Univ. de Chile, Santiago, Chile", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalue problem; eigenvalues and eigenfunctions; equally spaced knots; natural spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Yserentant:1983:MKD, author = "Harry Yserentant", title = "{Die maximale Konsistenzordnung von Differenzenapproximationen nichtnegativer Art}. ({German}) [{The} maximal consistency order of difference approximations of nonnegative kind]", journal = j-NUM-MATH, volume = "42", number = "1", pages = "119--123", month = sep, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N10", MRnumber = "85a:65154", MRreviewer = "Reinhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Mathematik, RETH Aachen, Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; difference methods; differential equations; elliptic problems; inverse monotone type; linear equations; M-matrices; numerical solution", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1983:AIC, author = "Anonymous", title = "Announcing an {International Conference on Numerical Analysis on the Occasion of the 25th Anniversary of the founding of Numerische Mathematik, March 19--21, 1984 at the Technische Universit{\"a}t Munich}", journal = j-NUM-MATH, volume = "42", number = "1", pages = "124--124", year = "1983", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01400923", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed Jan 26 18:08:52 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Allison:1983:NAN, author = "A. C. Allison and N. J. Young", title = "Numerical algorithms for the {Nevanlinna--Pick} problem", journal = j-NUM-MATH, volume = "42", number = "2", pages = "125--145", month = nov, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65E05 (30E05 47B38)", MRnumber = "86c:65031", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Decker:1983:SCC, author = "D. W. Decker and C. T. Kelley", title = "Sublinear convergence of the chord method at singular points", journal = j-NUM-MATH, volume = "42", number = "2", pages = "147--154", month = nov, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (65H05)", MRnumber = "84k:65054", MRreviewer = "J. E. Dennis, Jr.", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Krishna:1983:SNR, author = "Lala B. Krishna", title = "Some new results on unsymmetric successive overrelaxation method", journal = j-NUM-MATH, volume = "42", number = "2", pages = "155--160", month = nov, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65F15)", MRnumber = "85a:65058", MRreviewer = "S. C. Das", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Meyn:1983:SUN, author = "Klaus-Hermann Meyn", title = "Solution of underdetermined nonlinear equations by stationary iteration methods", journal = j-NUM-MATH, volume = "42", number = "2", pages = "161--172", month = nov, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "84k:65057", MRreviewer = "Michel Cosnard", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gunzburger:1983:CFE, author = "Max D. Gunzburger and Janet S. Peterson", title = "On conforming finite element methods for the inhomogeneous stationary {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "42", number = "2", pages = "173--194", month = nov, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76D05 (65N30 76-08)", MRnumber = "85f:76050", MRreviewer = "Christopher Caldwell", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nurnberger:1983:IGS, author = "G. N{\"u}rnberger and L. L. Schumaker and M. Sommer and H. Strauss", title = "Interpolation by generalized splines", journal = j-NUM-MATH, volume = "42", number = "2", pages = "195--212", month = nov, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (65D07)", MRnumber = "85b:41014", MRreviewer = "B. Boyanov", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Mansfield:1983:AFE, author = "Lois Mansfield", title = "Analysis of finite element methods for the nonlinear dynamic analysis of shells", journal = j-NUM-MATH, volume = "42", number = "2", pages = "213--235", month = nov, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73L15 (65N30 73K25)", MRnumber = "84k:73056", MRreviewer = "Igor Bock", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stokes:1983:ESW, author = "A. N. Stokes", title = "Efficient stable ways to calculate continued fraction coefficients from some series", journal = j-NUM-MATH, volume = "42", number = "2", pages = "237--245", month = nov, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D20 (30B70)", MRnumber = "85e:65008", MRreviewer = "L. Berg", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dingyi:1983:ABP, author = "Mu Dingyi", title = "Asymptotic behavior of the polynomial factor in the interpolation error", journal = j-NUM-MATH, volume = "42", number = "2", pages = "247--257", month = nov, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (41A05)", MRnumber = "85i:65013", MRreviewer = "G. C. Barozzi", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Anonymous:1983:AAH, author = "Anonymous", title = "Announcemen: {Alston S. Householder Award V (1984)}", journal = j-NUM-MATH, volume = "42", number = "2", pages = "258--258", month = nov, year = "1983", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01395315", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed Jan 26 18:11:57 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Cuyt:1983:QAM, author = "Annie A. M. Cuyt", title = "The {QD}-algorithm and multivariate {Pad{\'e}}-approximants", journal = j-NUM-MATH, volume = "42", number = "3", pages = "259--269", month = dec, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A21 (65D15)", MRnumber = "85b:41027", MRreviewer = "J. Della Dora", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Antwerp, Wilrijk, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; difference equations; multivariate continued fractions; multivariate Pad{\'e}-approximants; quotient-difference algorithm", treatment = "T Theoretical or Mathematical", } @Article{Spijker:1983:CNS, author = "M. N. Spijker", title = "Contractivity in the numerical solution of initial value problems", journal = j-NUM-MATH, volume = "42", number = "3", pages = "271--290", month = dec, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (65L20 65M05)", MRnumber = "85b:65067", MRreviewer = "L. Collatz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290P (Differential equations)C4120 (Functional analysis); C4170 (Differential equations)", corpsource = "Univ. van Leiden, Leiden, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary Banach spaces; contractivity threshold; functional analysis; initial value problems; linear autonomous system; linear differential equations; numerical approximations; numerical solution; ordinary differential equations; partial differential equations; unconditional contractivity", treatment = "T Theoretical or Mathematical", } @Article{Puschmann:1983:CPR, author = "Heinrich Puschmann and Joaqu{\'i}n Cort{\'e}s", title = "The Coordinex Problem and its Relation to the Conjecture of {Wilkinson}", journal = j-NUM-MATH, volume = "42", number = "3", pages = "291--297", month = dec, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (15A23 15A60)", MRnumber = "85a:65052", MRreviewer = "E. L. Yip", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290H (Linear algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Facultad de Ciencias Fisicas y Matematicas, Univ. de Chile, Santiago, Chile", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounded coefficients; coordinex problem; Gaussian matrix decomposition; large Euclidean norm; matrix algebra; maximum relative growth; numerical optimisation; optimisation; orthogonal columns; pivoting; triangular factors; Wilkinson's conjecture", treatment = "T Theoretical or Mathematical", } @Article{Cash:1983:SLM, author = "J. R. Cash", title = "Split linear multistep methods for the numerical integration of stiff differential systems", journal = j-NUM-MATH, volume = "42", number = "3", pages = "299--310", month = dec, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "85i:65083", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "backward differentiation formulae; convergence of numerical methods; differential equations; implicit predictor; integration; numerical integration; predictor-corrector methods; predictor-corrector scheme; split linear multistep methods; stability; stiff differential systems; variable step implementation", treatment = "T Theoretical or Mathematical", } @Article{Hariharan:1983:BEM, author = "S. I. Hariharan and E. Stephan", title = "A boundary element method for a two-dimensional interface problem in electromagnetics", journal = j-NUM-MATH, volume = "42", number = "3", pages = "311--322", month = dec, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "78-08 (65N30)", MRnumber = "84k:78001", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0350D (Maxwell theory: general mathematical aspects); B0290F (Interpolation and function approximation); B0290R (Integral equations); B5100 (Electric and magnetic fields)", corpsource = "Inst. for Computer Applications in Sci. and Engng., NASA Langley Res. Center, Hampton, VA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; boundary element method; boundary integral equations; boundary-value problems; convergence of numerical methods; electromagnetic field theory; electromagnetics; ellipticity; Galerkin approximations; integral equations; layer potential operators; optimal convergence; two-dimensional interface problem", treatment = "T Theoretical or Mathematical", } @Article{Chu:1983:NTC, author = "M. T. Chu", title = "On a numerical treatment for the curve-tracing of the homotopy method", journal = j-NUM-MATH, volume = "42", number = "3", pages = "323--329", month = dec, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "85c:65062", MRreviewer = "Wolfgang Wetterling", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continuous Newton--Raphson method; curve-tracing; domain of attraction; function approximation; homotopy method; implicitly defined smooth curve; iterative methods; Newton-like iteration; numerical treatment; orthogonality; underdetermined systems", treatment = "T Theoretical or Mathematical", } @Article{Graves-Morris:1983:VVR, author = "P. R. Graves-Morris", title = "Vector valued rational interpolants. {I}", journal = j-NUM-MATH, volume = "42", number = "3", pages = "331--348", month = dec, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05", MRnumber = "85a:65020", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); B0290F (Interpolation and function approximation); C1120 (Mathematical analysis); C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Univ. of Kent, Canterbury, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; Claessens' $\epsilon$-algorithm; equivalence; interpolation; McCleod's theorem; Samelson inverse; Thiele type rational interpolants; vector valued Pad{\'e} approximants; vector-valued rational interpolants; vectors", treatment = "T Theoretical or Mathematical", } @Article{vanVeldhuizen:1983:SS, author = "M. van Veldhuizen", title = "On {$D$}-stability and {$B$}-stability", journal = j-NUM-MATH, volume = "42", number = "3", pages = "349--357", month = dec, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20", MRnumber = "85g:65095", MRreviewer = "Jacques Reverdy", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Wiskundig Seminarium, Vrije Univ., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A-stability; B-stability; convergence of numerical methods; D-stability; Ehle-Chipman; implicit Runge--Kutta methods; N{\o}rsett; perturbed collocation; Runge--Kutta methods; Wanner", treatment = "T Theoretical or Mathematical", } @Article{Grigorieff:1983:SMM, author = "Rolf Dieter Grigorieff", title = "Stability of multistep-methods on variable grids", journal = j-NUM-MATH, volume = "42", number = "3", pages = "359--377", month = dec, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20 (65L05)", MRnumber = "85a:65128", MRreviewer = "F. J. Murray", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Tech. Univ. Berlin, Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "initial value problems; integration; multistep-methods; numerical integration; ordinary initial-value problems; stability; variable BDF-formulae; variable grids; variable mesh-sizes", treatment = "T Theoretical or Mathematical", } @Article{Schmitt:1983:NBR, author = "Bernhard Schmitt", title = "Norm bounds for rational matrix functions", journal = j-NUM-MATH, volume = "42", number = "3", pages = "379--389", month = dec, year = "1983", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (15A54 15A60)", MRnumber = "85f:65038", MRreviewer = "B. Levinger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290H (Linear algebra); B0290P (Differential equations); C4120 (Functional analysis); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Fachbereich Math., Univ. Marburg, Marburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; functional analysis; initial value problems; initial-value problems; matrix algebra; norm-stability; rational matrix functions; single step methods; spectral-norm bounds; stiff differential equations; subdiagonal Pad{\'e} approximations", treatment = "T Theoretical or Mathematical", } @Article{Sweet:1984:FTO, author = "D. R. Sweet", title = "Fast {Toeplitz} orthogonalization", journal = j-NUM-MATH, volume = "43", number = "1", pages = "1--21", month = jan, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A23 (65F25)", MRnumber = "85a:15016", MRreviewer = "E. L. Yip", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computer Sci., Univ. of Adelaide, Adelaide, SA, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "fist Toeplitz orthogonalization; least squares approximations; least-squares problem; matrix algebra; QR factorization; shift-invariance property; Toeplitz matrix", treatment = "T Theoretical or Mathematical", } @Article{DellaDora:1984:APHa, author = "J. {Della Dora} and C. {Di Crescenzo}", title = "Approximants de {Pad{\'e}}-Hermite. {I}. Th{\'e}orie. ({French}) [{Pad{\'e}--Hermite} approximants. {I}. Theory]", journal = j-NUM-MATH, volume = "43", number = "1", pages = "23--39", month = jan, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B10 (30E10 41A21 65E05)", MRnumber = "85f:65005a", MRreviewer = "Claude Brezinski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Lab. d'Informatique et de Math. Appliqu{\'e}es de Grenoble, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; D-log approximants; Pad{\'e}--Hermite approximants", language = "French", treatment = "T Theoretical or Mathematical", } @Article{DellaDora:1984:APHb, author = "J. {Della Dora} and C. {Di Crescenzo}", title = "Approximants de {Pad{\'e}--Hermite}. {II}. Programmation. ({French}) [{Pad{\'e}--Hermite} approximants. {II}. {Programming}]", journal = j-NUM-MATH, volume = "43", number = "1", pages = "41--57", month = jan, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B10 (30E10 41A21 65E05)", MRnumber = "85f:65005b", MRreviewer = "Claude Brezinski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Lab. d'Informatique et de Math. Appliqu{\'e}es de Grenoble, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; numerical applications; Pad{\'e}--Hermite tables", language = "French", treatment = "A Application; T Theoretical or Mathematical", } @Article{Eydeland:1984:MSN, author = "Alexander Eydeland", title = "A method of solving nonlinear variational problems by nonlinear transformation of the objective functional. {I}", journal = j-NUM-MATH, volume = "43", number = "1", pages = "59--82", month = jan, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49D20 (65K10)", MRnumber = "85h:49066", MRreviewer = "{\`E}. G. Al\cprime brekht", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Univ. of Massachusetts, Amherst, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; finite element implementation; iterative method; iterative methods; minimal surface problem; nonlinear differential equations; nonlinear transformation; nonlinear variational problems; objective functional; temperature control problem; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Modi:1984:AGO, author = "J. J. Modi and M. R. B. Clarke", title = "An Alternative {Givens} Ordering", journal = j-NUM-MATH, volume = "43", number = "1", pages = "83--90", month = jan, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05", MRnumber = "85a:65051", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Computing Lab., Oxford Univ., Oxford, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate theoretical analysis; approximation theory; error bounds; Givens ordering; nla; plane rotation; qrd", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Meyer:1984:MNV, author = "Peter Wilhelm Meyer", title = "{Das modifizierte Newton-Verfahren in verallgemeinerten Banach-{R}{\"a}umen}. ({German}) [{The} modified {Newton} method in generalized {Banach} spaces]", journal = j-NUM-MATH, volume = "43", number = "1", pages = "91--104", month = jan, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15", MRnumber = "85g:65078", MRreviewer = "Kurt Georg", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich 11/Math., Univ. Duisburg, Duisburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error estimates; generalized Banach-spaces; generalized norms; iterative methods; linear space; Newton's method; Newton-Kantorowitsch-analysis; real-norm theory", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Kesavan:1984:PMB, author = "S. Kesavan", title = "A potential method for the biharmonic equation", journal = j-NUM-MATH, volume = "43", number = "1", pages = "105--119", month = jan, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "31B30 (65N30)", MRnumber = "85d:31010", MRreviewer = "G. Wildenhain", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Tata Inst. of Fundamental Res., Bangalore, India", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; biharmonic equation; biharmonic operator; Dirichlet problem; iterative methods; numerical results; potential method", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Zennaro:1984:MPL, author = "Marino Zennaro", title = "Maximum principles for linear difference-differential operators in periodic function spaces", journal = j-NUM-MATH, volume = "43", number = "1", pages = "121--139", month = jan, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "34K99", MRnumber = "85c:34084", MRreviewer = "T. Yoshizawa", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Istituto di Matematica, Univ. degli Studi di Trieste, Trieste, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "linear difference-differential operators; linear differential equations; maximum principle; maximum principles; minimum principles; numerical procedure; periodic function spaces; T-periodic function spaces; validity", treatment = "T Theoretical or Mathematical", } @Article{Wong:1984:CMS, author = "Wing Hung Wong", title = "On constrained multivariate splines and their approximations", journal = j-NUM-MATH, volume = "43", number = "1", pages = "141--152", month = jan, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A29 (41A65 49D15 65D07 65N30)", MRnumber = "85d:41018", MRreviewer = "Klaus H{\"o}llig", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Statistics, Univ. of Chicago, Chicago, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; approximations; constrained multivariate splines; convergence; convexity; error analysis; error estimates; inequality constraints; interpolation; interpolation problems; positivity; smoothing problems; splines (mathematics); variational formulation", treatment = "T Theoretical or Mathematical", } @Article{Bernstein:1984:ABM, author = "Herbert J. Bernstein", title = "An accelerated bisection method for the calculation of eigenvalues of a symmetric tridiagonal matrix", journal = j-NUM-MATH, volume = "43", number = "1", pages = "153--160", month = jan, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "85i:65044", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Courant Inst. of Math. Sci., New York Univ., New York, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "absolute value; accelerated bisection method; convergence; determinant; eigenvalues; eigenvalues and eigenfunctions; Givens' Sturm bisection; interpolation; matrix algebra; root; symmetric tridiagonal matrix", treatment = "T Theoretical or Mathematical", } @Article{Monegato:1984:CPF, author = "Giovanni Monegato", title = "Convergence of product formulas for the numerical evaluation of certain two-dimensional {Cauchy} principal value integrals", journal = j-NUM-MATH, volume = "43", number = "2", pages = "161--173", month = mar, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (41A55)", MRnumber = "85h:65049", MRreviewer = "G. A. Evans", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dipartimento di Matematica, Politecnico di Torino, Torino, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; convergence results; interpolation; interpolatory type; numerical analysis; numerical approximation; numerical evaluation; product formulas; transforms; two-dimensional Cauchy principal value integrals", treatment = "T Theoretical or Mathematical", } @Article{Niijima:1984:UCD, author = "Koichi Niijima", title = "A uniformly convergent difference scheme for a semilinear singular perturbation problem", journal = j-NUM-MATH, volume = "43", number = "2", pages = "175--198", month = mar, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (34E15)", MRnumber = "85h:65164", MRreviewer = "Abbas I. Abdel-Karim", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Kyushu Univ., Fukuoka, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; differential equations; perturbation techniques; semilinear singular perturbation problem; uniformly convergent difference scheme", treatment = "T Theoretical or Mathematical", } @Article{LeTallec:1984:MNP, author = "Patrick {Le Tallec} and Marina Vidrascu", title = "Une m{\'e}thode num{\'e}rique pour les probl{\`e}mes d'{\'e}quilibre de corps hyper{\'e}lastiques compressibles en grandes d{\'e}formations. ({French}) [{A} numerical method for solving equilibrium problems of compressible hyperelastic bodies in large deformations]", journal = j-NUM-MATH, volume = "43", number = "2", pages = "199--224", month = mar, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73G10)", MRnumber = "85d:65061", MRreviewer = "N. Gass", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0340D (Mathematical theory of elasticity); A4630C (Elasticity)", corpsource = "Lab. Central des Ponts and Chauss{\'e}es, Service de Math., Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Augmented Lagrangian techniques; compressibility; compressible hyperelastic bodies; elastic deformation; elasticity; equilibrium problems; large deformations; numerical method", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Sikorski:1984:OSN, author = "K. Sikorski", title = "Optimal solution of nonlinear equations satisfying a {Lipschitz} condition", journal = j-NUM-MATH, volume = "43", number = "2", pages = "225--240", month = mar, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (65K10)", MRnumber = "85h:65118", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Computer Sci., Columbia Univ., New York, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Lipschitz condition; nonlinear equations; nonlinear transformation; optimal solution", treatment = "T Theoretical or Mathematical", } @Article{Gaviano:1984:GCT, author = "M. Gaviano and F. Testa", title = "A general convergence theorem for the reduced gradient method", journal = j-NUM-MATH, volume = "43", number = "2", pages = "241--247", month = mar, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49D07", MRnumber = "85c:49039", MRreviewer = "G. D. Maystrovsky", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Istituto Matematico, Univ. di Cagliari, Cagliari, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "general convergence theorem; iterative methods; linear equality constraints; minimisation; nonnegativity bounds; reduced gradient method", treatment = "T Theoretical or Mathematical", } @Article{Dickmeis:1984:GAC, author = "W. Dickmeis and R. J. Nessel and E. van Wickeren", title = "A general approach to counterexamples in numerical analysis", journal = j-NUM-MATH, volume = "43", number = "2", pages = "249--263", month = mar, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A65 (41A55 65D30)", MRnumber = "85e:41036", MRreviewer = "Helmut Bra{\ss}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Lehrstuhl A f{\"u}r Math., RWTH Aachen, Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "compound trapezoidal rule; counterexamples; gliding hump method; heat equation; numerical analysis; quantitative negative results; quantitative uniform boundedness principles", treatment = "T Theoretical or Mathematical", } @Article{Elschner:1984:GMS, author = "J. Elschner", title = "{Galerkin} methods with splines for singular integral equations over $(0,\,1)$", journal = j-NUM-MATH, volume = "43", number = "2", pages = "265--281", month = mar, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45E05 45L10)", MRnumber = "85g:65133", MRreviewer = "N. I. Ioakimidis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Math., Akad. der Wissenschaften, Berlin, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error estimates; Galerkin methods; Garding type; inequalities; polynomials; singular integral equations; smoothest polynomial splines; Sobolev norms; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{vanIseghem:1984:PTA, author = "Jeannette van Iseghem", title = "{Pad{\'e}}-type approximations of $\exp(-z)$ whose denominators are $(1 + z / n)^n$", journal = j-NUM-MATH, volume = "43", number = "2", pages = "283--292", month = mar, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30E10 (33A65 41A21 65D15)", MRnumber = "85d:30057", MRreviewer = "H. Wallin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "UER d'IEEA Informatique, Univ. des Sci. et Tech. de Lille 1, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A-acceptability; approximation theory; denominators; numerical study; Pade-type approximations", treatment = "T Theoretical or Mathematical", } @Article{Cuyt:1984:GON, author = "Annie A. M. Cuyt and Brigitte M. Verdonk", title = "General order {Newton--Pad{\'e}} approximants for multivariate functions", journal = j-NUM-MATH, volume = "43", number = "2", pages = "293--307", month = mar, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (41A21)", MRnumber = "85k:65005", MRreviewer = "J. Della Dora", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. Instelling Antwerpen, Wilrijk, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; derivatives; general order Newton--Pad{\'e} approximants; Multivariate functions; rational Hermite interpolation problem", treatment = "T Theoretical or Mathematical", } @Article{Rannacher:1984:FES, author = "Rolf Rannacher", title = "Finite element solution of diffusion problems with irregular data", journal = j-NUM-MATH, volume = "43", number = "2", pages = "309--327", month = mar, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76-08)", MRnumber = "85c:65145", MRreviewer = "Max D. Gunzburger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Fachbereich Angewandte Math. und Informatik, Univ. des Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary data; diagonal Pad{\'e} schemes; diffusion problems; discretization schemes; error analysis; finite element analysis; finite element solution; irregular data", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1984:AIC, author = "Anonymous", title = "Announcing an {International Conference on Numerical Analysis}", journal = j-NUM-MATH, volume = "43", number = "2", pages = "328--328", month = mar, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Wed Jan 26 18:15:53 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kublanovskaya:1984:AMS, author = "V. N. Kublanovskaya", title = "${AB}$-algorithm and its modifications for the spectral problems of linear pencils of matrices", journal = j-NUM-MATH, volume = "43", number = "3", pages = "329--342", month = apr, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (65H15)", MRnumber = "85k:65034", MRreviewer = "Andrzej W. Olbrot", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory)", corpsource = "Steklov Math. Inst., Acad. of Sci., Leningrad, USSR", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "AB-algorithm; algorithm theory; linear pencils; matrices; matrix algebra; spectral problems", treatment = "T Theoretical or Mathematical", } @Article{Arndt:1984:NSR, author = "Herbert Arndt", title = "Numerical solution of retarded initial value problems: local and global error and stepsize control", journal = j-NUM-MATH, volume = "43", number = "3", pages = "343--360", month = apr, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34K05 65G05)", MRnumber = "85h:65142", MRreviewer = "M. M. Konstantinov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Univ. Bonn, Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; global error; initial value problems; interpolation; local error; numerical analysis; numerical solution; retarded initial value problems; stepsize control", treatment = "T Theoretical or Mathematical", } @Article{Bollen:1984:NSD, author = "Jo A. M. Bollen", title = "Numerical Stability of Descent Methods for Solving Linear Equations", journal = j-NUM-MATH, volume = "43", number = "3", pages = "361--377", month = apr, year = "1984", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01390179", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65G05 (65F10)", MRnumber = "85f:65041", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Appl. Maths., Twente Univ. of Technol., Enschede, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "descent methods; digital arithmetic; error analysis; floating point arithmetic; Gauss-Southwell method; gradient method; linear differential equations; linear equations; linear systems; numerical stability; roundoff error analysis; stability", treatment = "T Theoretical or Mathematical", } @Article{Bartke:1984:SNR, author = "Klaus Bartke", title = "{Die Struktur der normalen rationalen Funktionen}. ({German}) [{The structure of normal rational functions}]", journal = j-NUM-MATH, volume = "43", number = "3", pages = "379--388", month = apr, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15 (41A20)", MRnumber = "85i:65021", MRreviewer = "Hans-J{\"u}rgen Albrand", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Univ. Erlangen-N{\"u}rnberg, Erlangen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; connected components; normal rational functions; Remez algorithm", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Jackiewicz:1984:ASA, author = "Zdzis{\l}aw Jackiewicz", title = "Asymptotic stability analysis of $\theta $-methods for functional differential equations", journal = j-NUM-MATH, volume = "43", number = "3", pages = "389--396", month = apr, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20 (34K25)", MRnumber = "85f:65078", MRreviewer = "Abbas I. Abdel-Karim", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Dept. of Maths., Univ. of Arkansas, Fayetteville, AR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$\theta$-methods; asymptotic stability analysis; differential equations; functional differential equations; functional equations; stability", treatment = "T Theoretical or Mathematical", } @Article{Brunovsky:1984:SSP, author = "Pavol Brunovsk{\'y} and Pavol Merav{\'y}", title = "Solving systems of polynomial equations by bounded and real homotopy", journal = j-NUM-MATH, volume = "43", number = "3", pages = "397--418", month = apr, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "58C30 (65H10 90C30)", MRnumber = "86c:58013", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. of Appl. Maths., Comenius Univ., Bratislava, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounded homotopy; numerical results; polynomial equations; polynomials; real homotopy", treatment = "T Theoretical or Mathematical", } @Article{Ishihara:1984:MEI, author = "Kazuo Ishihara", title = "Monotone explicit iterations of the finite element approximations for the nonlinear boundary value problem", journal = j-NUM-MATH, volume = "43", number = "3", pages = "419--437", month = apr, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "85g:65118", MRreviewer = "Jaros{\l}aw Jele\'n", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Maths., Kyushu Inst. of Technol., Kitakyushu, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; finite element analysis; finite element approximations; lumping operator; monotone explicit iterations; nonlinear boundary value problem; nonlinear equations; piecewide linear polynomials; piecewise-linear techniques; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Gabutti:1984:TMA, author = "Bruno Gabutti", title = "On two methods for accelerating convergence of series", journal = j-NUM-MATH, volume = "43", number = "3", pages = "439--461", month = apr, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B10", MRnumber = "85i:65005", MRreviewer = "J. Kofro{\v{n}}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Istituto di Calcoli Numerici, Univ. degli Studi di Torino, Torino, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accelerating convergence; Euler-Knopp transformation; monotonic coefficients; numerical analysis; series; series (mathematics); uniform convergence", treatment = "T Theoretical or Mathematical", } @Article{Meyer:1984:FBP, author = "Gunter H. Meyer", title = "Free boundary problems with nonlinear source terms", journal = j-NUM-MATH, volume = "43", number = "3", pages = "463--483", month = apr, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M20 (35R35)", MRnumber = "85h:65207", MRreviewer = "Ra{\u{\i}}cho Lazarov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "School of Maths., Georgia Inst. of Technol., Atlanta, GA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "diffusion-reaction equation; free boundary problems; Gauss--Seidel method; nonlinear elliptic equations; nonlinear equations; nonlinear Poisson equation; nonlinear source terms; variational inequality", treatment = "T Theoretical or Mathematical", } @Article{Wilkinson:1984:NMQ, author = "J. H. Wilkinson", title = "On neighbouring matrices with quadratic elementary divisors", journal = j-NUM-MATH, volume = "44", number = "1", pages = "1--21", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F99", MRnumber = "85h:65096", MRreviewer = "Colette Lebaud", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "In honour of the 60th birthday of F. L. Bauer.", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Computer Sci. Dept., Stanford Univ., Stanford, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "matrix algebra; neighbouring matrices; quadratic elementary divisors", treatment = "T Theoretical or Mathematical", } @Article{Csordas:1984:CRS, author = "George Csordas and Richard S. Varga", title = "Comparisons of regular splittings of matrices", journal = j-NUM-MATH, volume = "44", number = "1", pages = "23--35", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "85g:65043", MRreviewer = "Derek S. Henderson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Inst. for Computational Maths., Kent State Univ., Kent, OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "matrices; matrix algebra; regular splittings", treatment = "T Theoretical or Mathematical", } @Article{Stoer:1984:CMG, author = "Josef Stoer", title = "The convergence of matrices generated by rank-2 methods from the restricted $\beta$-class of {Broyden}", journal = j-NUM-MATH, volume = "44", number = "1", pages = "37--52", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K05 (90Cxx)", MRnumber = "85k:65056", MRreviewer = "Kaj Madsen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Inst. f{\"u}r Angewandte Math. und Statistik, Univ. Wurzburg, Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "matrices conversion; matrix algebra; rank-2 methods", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1984:DAS, author = "Walter Gautschi", title = "Discrete approximations to spherically symmetric distributions", journal = j-NUM-MATH, volume = "44", number = "1", pages = "53--60", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15", MRnumber = "85h:65038", MRreviewer = "Luciano Biasini", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computer Sci., Purdue Univ., West Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; Bose--Einstein distributions; Dirac delta functions; discrete approximations; Fermi--Dirac distributions; Gauss--Christoffel quadrature; Heaviside step functions; Maxwell distributions; spherically symmetric distributions", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1984:IPN, author = "G. W. Stewart", title = "On the invariance of perturbed null vectors under column scaling", journal = j-NUM-MATH, volume = "44", number = "1", pages = "61--65", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20 (65F35)", MRnumber = "86d:65053", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computer Sci., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "column scaling; estimation technique; invariance; latent root regression; least squares approximations; perturbation techniques; perturbed degenerate matrix; perturbed null vectors; total least squares", treatment = "T Theoretical or Mathematical", } @Article{Zenger:1984:PCS, author = "C. Zenger", title = "Positivity in complex spaces and its application to {Gershgorin} discs", journal = j-NUM-MATH, volume = "44", number = "1", pages = "67--73", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A18 (15A48 65F15)", MRnumber = "85g:15017", MRreviewer = "Ludwig Elsner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Inst. f{\"u}r Informatik, Tech. Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex spaces; continuity argument; eigenvalue; eigenvalues and eigenfunctions; matrix algebra; positivity; separated Gershgorin disc", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1984:FAF, author = "I. Babu{\v{s}}ka and M. Vogelius", title = "Feedback and adaptive finite element solution of one-dimensional boundary value problems", journal = j-NUM-MATH, volume = "44", number = "1", pages = "75--102", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L60 (65L10)", MRnumber = "85k:65070", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Maths., Univ. of Maryland, College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive finite element solution; boundary-value problems; feedback; finite element analysis; one-dimensional boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Parlett:1984:EMS, author = "B. N. Parlett and W. D. Wu", title = "Eigenvector matrices of symmetric tridiagonals", journal = j-NUM-MATH, volume = "44", number = "1", pages = "103--110", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "85h:65083", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Maths. Dept., Univ. of California, Berkeley, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; eigenvector matrix; matrix algebra; symmetric tridiagonals", treatment = "T Theoretical or Mathematical", } @Article{vonGolitschek:1984:ASP, author = "M. von Golitschek and H. Schneider", title = "Applications of shortest path algorithms to matrix scalings", journal = j-NUM-MATH, volume = "44", number = "1", pages = "111--126", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35", MRnumber = "85m:65032", MRreviewer = "Fran{\c{c}}ois Robert", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Inst. f{\"u}r Angewandte Math. und Statistik, Wurzburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "directed graphs; matrix algebra; matrix scalings; nonnegative diagonal matrix; shortest path algorithms; weighted directed graphs", treatment = "T Theoretical or Mathematical", } @Article{Elsner:1984:NOB, author = "L. Elsner", title = "A note on optimal block-scaling of matrices", journal = j-NUM-MATH, volume = "44", number = "1", pages = "127--128", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (15A12)", MRnumber = "85k:65037", MRreviewer = "Zden{\v{e}}k Dost{\'a}l", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Fakult{\"a}t f{\"u}r Math., Univ. Bielefeld, Bielefeld, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "matrices; matrix algebra; optimal block-scaling", treatment = "T Theoretical or Mathematical", } @Article{Niethammer:1984:ALP, author = "W. Niethammer and H. Wietschorke", title = "On the acceleration of limit periodic continued fractions", journal = j-NUM-MATH, volume = "44", number = "1", pages = "129--137", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "40A15", MRnumber = "85e:40003", MRreviewer = "Claude Brezinski", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sautter:1984:KLA, author = "Werner Sautter", title = "{Zur Kondition des linearen Ausgleichsproblems mit linearen Gleichungen als Nebenbedingungen}. ({German}) [{On} the condition of the linear least squares problem with linear equations as side conditions]", journal = j-NUM-MATH, volume = "44", number = "1", pages = "139--152", month = jun, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D10 (65F20)", MRnumber = "85h:65035", MRreviewer = "Wolfgang Bunse", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Tech. Univ. M{\"u}nchen, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "least squares approximations; linear equality constraints; linear least squares problem; perturbation theory", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Dryja:1984:FEC, author = "Maksymilian Dryja", title = "A finite element-capacitance method for elliptic problems on regions partitioned into subregions", journal = j-NUM-MATH, volume = "44", number = "2", pages = "153--168", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N20 65W05)", MRnumber = "86c:65131", MRreviewer = "O. Widlund", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Maths., Univ. of Southern California, Los Angeles, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "capacitance method; elliptic problems; fast Fourier transform; fast Fourier transforms; finite element analysis; finite element method; iterative methods; linear equations; preconditioning operator", treatment = "T Theoretical or Mathematical", } @Article{Wasilkowski:1984:CAH, author = "G. W. Wasilkowski and H. Wo{\'z}niakowski", title = "Can adaption help on the average?", journal = j-NUM-MATH, volume = "44", number = "2", pages = "169--190", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "68Q25", MRnumber = "86d:68035", MRreviewer = "Lydia Kronsj{\"o}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Inst. of Informatics, Univ. of Warsaw, Warsaw, Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive information; Gaussian measures; linear problems; numerical analysis; probability; separable Hilbert space; weighted Lebesgue measures", treatment = "T Theoretical or Mathematical", } @Article{Aziz:1984:FEM, author = "A. K. Aziz and Houde Han and M. Schneider", title = "A finite element method for a boundary value problem of mixed type", journal = j-NUM-MATH, volume = "44", number = "2", pages = "191--200", month = aug, year = "1984", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01410104", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "85i:65143", MRreviewer = "Max D. Gunzburger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Maths., Univ. of Maryland, Baltimore, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a priori error bounds; approximate solution; boundary value problem; boundary-value problems; existence; finite element analysis; finite element method; Galerkin procedure; uniform stability; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Canuto:1984:CFE, author = "Claudio Canuto and Yvon Maday and Alfio Quarteroni", title = "Combined finite element and spectral approximation of the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "44", number = "2", pages = "201--217", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65P05)", MRnumber = "85i:65144", MRreviewer = "Max D. Gunzburger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Istituto di Analisi Numerica, Univ. de Pavia, Pavia, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; finite element method; fluid dynamics; Fourier analysis; Fourier pseudospectral method; Navier--Stokes equations; numerical approximation; spectral approximation", treatment = "T Theoretical or Mathematical", } @Article{Boland:1984:SBC, author = "J. M. Boland and R. A. Nicolaides", title = "On the stability of bilinear-constant velocity-pressure finite elements", journal = j-NUM-MATH, volume = "44", number = "2", pages = "219--222", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "86a:65114", MRreviewer = "Juhani Pitkar{\"a}nta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340G (Fluid dynamics: general mathematical aspects)", corpsource = "Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Babu{\v{s}}ka stability; bilinear-constant velocity-pressure finite elements; finite element analysis; fluid dynamics; stability; viscous flow calculations", treatment = "T Theoretical or Mathematical", } @Article{Lazarov:1984:CDS, author = "Raj{\v{c}}o D. Lazarov and Vladimir L. Makarov and Wilfried Weinelt", title = "On the convergence of difference schemes for the approximation of solutions $u\in {W}^{m}_{2}$ $(m>0.5)$ of elliptic equations with mixed derivatives", journal = j-NUM-MATH, volume = "44", number = "2", pages = "223--232", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N10", MRnumber = "86f:65181", MRreviewer = "John C. Strikwerda", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schroder:1984:NEB, author = "Johann Schr{\"o}der", title = "Numerical error bounds for fourth order boundary value problems, simultaneous estimation of $u(x)$ and $u^{\prime\prime}(x)$", journal = j-NUM-MATH, volume = "44", number = "2", pages = "233--245", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (34B15)", MRnumber = "85i:65101", MRreviewer = "Pietro Marzulli", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Maths. Inst., Univ. Koln, Koln, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; estimation theory; existence; fourth order boundary value problems; nonlinear boundary value problems; numerical analysis; numerical error bounds; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Verwer:1984:CLO, author = "J. G. Verwer", title = "Contractivity of locally one-dimensional splitting methods", journal = j-NUM-MATH, volume = "44", number = "2", pages = "247--259", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M20 (65N20)", MRnumber = "85j:65038", MRreviewer = "D. M. Sloan", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Centre, Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "contractivity; locally one-dimensional splitting methods; nonlinear differential equations; nonlinear partial differential equations; partial differential equations; perturbations; time integration process", treatment = "T Theoretical or Mathematical", } @Article{Akrivis:1984:FFG, author = "G. Akrivis", title = "{Fehlerabsch{\"a}tzungen f{\"u}r Gau{\ss}-Quadraturformeln}. ({German}) [{Error} estimates for {Gaussian} quadrature formulas]", journal = j-NUM-MATH, volume = "44", number = "2", pages = "261--278", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "85m:65023", MRreviewer = "Helmut Bra{\ss}", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Palencia:1984:ELR, author = "C. Palencia and J. M. Sanz-Serna", title = "An extension of the {Lax--Richtmyer} theory", journal = j-NUM-MATH, volume = "44", number = "2", pages = "279--283", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M10", MRnumber = "86c:65096", MRreviewer = "E. G. D\cprime yakonov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. de Ecuaciones Funcionales, Univ. de Valladolid, Valladolid, Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "initial value problems; Lax equivalence theorem; Lax--Richtmyer theory; linear differential equations; linear finite difference equations", treatment = "T Theoretical or Mathematical", } @Article{Ishihara:1984:NAB, author = "Kazuo Ishihara", title = "On numerical asymptotic behavior of finite element solutions for parabolic equations", journal = j-NUM-MATH, volume = "44", number = "2", pages = "285--300", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "85i:65151", MRreviewer = "M. Zl{\'a}mal", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Maths., Kyushu Inst. of Technol., Kitakyushu, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; finite element solutions; linear differential equations; linear parabolic equations; numerical asymptotic behavior; parabolic equations", treatment = "T Theoretical or Mathematical", } @Article{Andersson:1984:NOQ, author = "Jan-Erik Andersson and Borislav D. Bojanov", title = "A note on the optimal quadrature in ${H}^{p}$", journal = j-NUM-MATH, volume = "44", number = "2", pages = "301--308", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (41A55)", MRnumber = "86a:65023", MRreviewer = "J. Kofro{\v{n}}", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brewster:1984:NSR, author = "M. E. Brewster and R. Kannan", title = "Nonlinear successive over-relaxation", journal = j-NUM-MATH, volume = "44", number = "2", pages = "309--315", month = aug, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (90C30)", MRnumber = "86b:65064", MRreviewer = "D. F. Shanno", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Dept. of Maths., Univ. of Texas, Arlington, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; Gauss--Seidel method; minimisation; minimum; nonlinear successive over-relaxation", treatment = "T Theoretical or Mathematical", } @Article{Gragg:1984:NSR, author = "William B. Gragg and William J. Harrod", title = "The numerically stable reconstruction of {Jacobi} matrices from spectral data", journal = j-NUM-MATH, volume = "44", number = "3", pages = "317--335", month = sep, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F25 (65F15)", MRnumber = "85i:65052", MRreviewer = "Ludwig Elsner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "diagonal Hermitian Lanczos process; elementary theory; Gaussian weights; inverse eigenvalue problem; Jacobi matrices; Lanczos algorithm; matrix algebra; nla; numerically stable reconstruction; Rutishauser's algorithm; spectral data; tridiagonal matrix", treatment = "T Theoretical or Mathematical", } @Article{Strauss:1984:MQF, author = "H. Strauss", title = "Monotonicity of quadrature formulae of {Gauss} type and comparison theorems for monosplines", journal = j-NUM-MATH, volume = "44", number = "3", pages = "337--347", month = sep, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A55 (65D07 65D32)", MRnumber = "85m:41044", MRreviewer = "Helmut Bra{\ss}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Erlangen-N{\"u}rnberg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "comparison theorems; Gauss type; monosplines; monotonicity; quadratic programming; quadrature formulae; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Shi:1984:CCQ, author = "Zhong-ci Shi", title = "A convergence condition for the quadrilateral {Wilson} element", journal = j-NUM-MATH, volume = "44", number = "3", pages = "349--361", month = sep, year = "1984", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01405567", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "86d:65151", MRreviewer = "Pierre Lesaint", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Fachbereich Math., Johann Wolfgang Goethe-Univ., Frankfurt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence condition; mess subdivisions; quadrilateral Wilson element; variational formulation; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{ElTarazi:1984:AMA, author = "Mouhamed Nabih {El Tarazi}", title = "Algorithmes mixtes asynchrones. {\'E}tude de convergence monotone. ({French}) [{Asynchronous} mixed algorithms. Study of monotonic convergence]", journal = j-NUM-MATH, volume = "44", number = "3", pages = "363--369", month = sep, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (65J15)", MRnumber = "86c:65042", MRreviewer = "W. Niethammer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Kuwait Univ., Kuwait", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asynchronous mixed algorithms; iterative algorithms; iterative methods; monoprocessors; monotonic convergence; multiprocessors; Newton Relaxation algorithms; partial ordering", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Vanninathan:1984:ATP, author = "M. Vanninathan and G. D. {Veerappa Gowda}", title = "Approximation of {Tricomi} problem with {Neumann} boundary condition", journal = j-NUM-MATH, volume = "44", number = "3", pages = "371--391", month = sep, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (35M05 65N30)", MRnumber = "86c:65108", MRreviewer = "Rolf Rannacher", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "TIFR Centre, Bangalore, India", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy problem; finite element analysis; finite element approximation; hyperbolic region; Neumann boundary condition; nonlocal boundary condition; Tricomi problem approximation; variational formulation; variational techniques; weighted Sobolev spaces", treatment = "T Theoretical or Mathematical", } @Article{Haverkamp:1984:ASG, author = "Richard Haverkamp", title = "{Eine Aussage zur $L_\infty$-Stabilit{\"a}t und zur genauen Konvergenzordnung der $H^1_0$-Projektionen}. ({German}) [{A} statement concerning {$L_\infty$}-stability and the exact order of convergence of {$H^1_0$}-projections]", journal = j-NUM-MATH, volume = "44", number = "3", pages = "393--405", month = sep, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "86f:65194", MRreviewer = "Juhani Pitkar{\"a}nta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Inst. f{\"u}r Angewandte Math., Bonn Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error estimates; exact order of convergence; finite element analysis; H/sub 0//sup 1/-projections; L/sub infinity /-stability; linear finite element solutions; log $h$-factor; stability", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Reimer:1984:BCO, author = "Manfred Reimer", title = "Best constants occurring with the modulus of continuity in the error estimate for spline interpolants of odd degree on equidistant grids", journal = j-NUM-MATH, volume = "44", number = "3", pages = "407--415", month = sep, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (41A05)", MRnumber = "85i:41008", MRreviewer = "R. Franke", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Abteilung Math., Dortmund Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "equidistant grids; error estimate; Euler-Frobenius-polynomials; interpolation; modulus of continuity; odd degree; polynomials; spline interpolants; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Reimer:1984:EES, author = "Manfred Reimer", title = "Error estimates for spline interpolants on equidistant grids", journal = j-NUM-MATH, volume = "44", number = "3", pages = "417--424", month = sep, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (41A05)", MRnumber = "85k:41016", MRreviewer = "R. Franke", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Abteilung Math., Dortmund Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "decomposition formula; equidistant grids; error estimates; interpolation; polynomial; polynomials; spline interpolants; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{ORiordan:1984:SPF, author = "Eugene O'Riordan", title = "Singularly perturbed finite element methods", journal = j-NUM-MATH, volume = "44", number = "3", pages = "425--434", month = sep, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L60 (34B05 34E15)", MRnumber = "85m:65080", MRreviewer = "David F. Griffiths", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Regional Tech. Coll., Waterford, Ireland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; finite element analysis; global estimates; ordinary differential equations; perturbation parameter; piecewise linear finite element; piecewise-linear techniques; pointwise estimates; singularly perturbed finite element methods", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Wegmann:1984:CPE, author = "Rudolf Wegmann", title = "Convergence proofs and error estimates for an iterative method for conformal mapping", journal = j-NUM-MATH, volume = "44", number = "3", pages = "435--461", month = sep, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30 (65E05)", MRnumber = "85m:30004", MRreviewer = "G. Opfer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Max-Planck-Inst. f{\"u}r Phys. und Astrophys., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conformal mapping; convergence proofs; error estimates; iterative method; iterative methods; unit disc", treatment = "T Theoretical or Mathematical", } @Article{Petkovic:1984:COA, author = "Miodrag Petkovi{\'c} and Lidija Stefanovi{\'c}", title = "On the convergence order of accelerated root iterations", journal = j-NUM-MATH, volume = "44", number = "3", pages = "463--476", month = sep, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "86b:65044", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Faculty of Electronic Engng., Ni{\v{s}}, Yugoslavia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accelerated root iterations; convergence order; Gauss--Seidel procedure; poles and zeros; polynomial complex zeros; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Arnold:1984:FHO, author = "Douglas N. Arnold and Jim {Douglas, Jr.} and Chaitan P. Gupta", title = "A family of higher order mixed finite element methods for plane elasticity", journal = j-NUM-MATH, volume = "45", number = "1", pages = "1--22", month = oct, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73-08)", MRnumber = "86a:65112", MRreviewer = "Reinhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity); A4630C (Elasticity)", corpsource = "Dept. of Maths., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "composite finite elements; compressibility; Dirichlet problem; displacement vector; elasticity; error analysis; error estimates; finite element analysis; higher order mixed finite element methods; incompressible case; minimal regularity; negative norm estimates; optimal order; partial differential equations; plane elasticity; scalar, second-order elliptic equation; stress tensor", treatment = "T Theoretical or Mathematical", } @Article{Tomarelli:1984:RTO, author = "Franco Tomarelli", title = "Regularity theorems and optimal error estimates for linear parabolic {Cauchy} problems", journal = j-NUM-MATH, volume = "45", number = "1", pages = "23--50", month = oct, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "34G10", MRnumber = "86d:34098", MRreviewer = "Georges A. Lebaud", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290D (Functional analysis); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dipartimento di Matematica, Pavia Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; error analysis; functional analysis; Hilbert spaces; implicit-Euler discretisation; linear differential equations; linear parabolic Cauchy problems; optimal error estimates; partial differential equations; regularity results; time discretisation", treatment = "T Theoretical or Mathematical", } @Article{Hanson:1984:ATG, author = "P. M. Hanson and J. E. Walsh", title = "Asymptotic theory of the global error and some techniques of error estimation", journal = j-NUM-MATH, volume = "45", number = "1", pages = "51--74", month = oct, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M15", MRnumber = "86c:65102", MRreviewer = "J. M. Sanz-Serna", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Alberta Univ., Edmonton, Alta., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; asymptotic expansion; classical difference correction; defect correction; discretisation; error analysis; error estimation; existence; function approximation; functional equation; functional equations; global error; parabolic equations; partial differential equations; representative step-length; two-parameter expansions", treatment = "T Theoretical or Mathematical", } @Article{Conca:1984:AQP, author = "Carlos Conca", title = "Approximation de quelques probl{\`e}mes de type {Stokes} par une m{\'e}thode d'{\'e}l{\'e}ments finis mixtes. ({French}) [{Mixed} finite element approximation of {Stokes}-type problems]", journal = j-NUM-MATH, volume = "45", number = "1", pages = "75--91", month = oct, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76D05)", MRnumber = "86c:65130", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Univ. Pierre et Marie Curie, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; Dirichlet boundary conditions; error analysis; external flows; finite element analysis; Fourier boundary conditions; Glowinski-Pironneau approximation; mixed-finite element approximation; Newmann boundary conditions; optimal error estimates; pressure; Stokes equations; Stokes problems; velocity vector", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Kacewicz:1984:HIO, author = "B. Z. Kacewicz", title = "How to increase the order to get minimal-error algorithms for systems of {ODE}", journal = j-NUM-MATH, volume = "45", number = "1", pages = "93--104", month = oct, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "86a:65059", MRreviewer = "G. Hall", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4120 (Functional analysis); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Inst. of Inf., Warsaw Univ., Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "additional integrals; bounded functions; bounded partial derivatives; differential equations; error analysis; functional analysis; integration; minimal-error algorithms; ODE systems; order increase; ordinary differential equations; partial derivatives; smooth functionals; Taylor algorithm; Taylor-integral algorithm", treatment = "T Theoretical or Mathematical", } @Article{Krizek:1984:SPF, author = "Michal K{\v{r}}{\'i}{\v{z}}ek and Pekka Neittaanm{\"a}ki", title = "Superconvergence phenomenon in the finite element method arising from averaging gradients", journal = j-NUM-MATH, volume = "45", number = "1", pages = "105--116", month = oct, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "86c:65135", MRreviewer = "M. Zl{\'a}mal", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Czechoslovak Acad. of Sci., Praha, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "averaged gradient; convergence of numerical methods; convergence rate; finite element analysis; finite element method; linear elements; partial differential equations; piecewise linear continuous vector field; second-order elliptic problem; superconvergence phenomenon", treatment = "T Theoretical or Mathematical", } @Article{Rappaz:1984:ANN, author = "Jacques Rappaz", title = "Approximation of a nondifferentiable nonlinear problem related to {MHD} equilibria", journal = j-NUM-MATH, volume = "45", number = "1", pages = "117--133", month = oct, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "35J65 (65N30 76W05)", MRnumber = "86a:35056", MRreviewer = "Kurt Georg", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4765 (Magnetohydrodynamics and electrohydrodynamics)", corpsource = "Dept. de Maths., {\'E}cole Polytech. F{\'e}d{\'e}rale de Lausanne, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; error analysis; finite element analysis; finite-element approximation; functional analysis; implicit function theorem; iteration scheme; iterative methods; magnetohydrodynamics; MHD equilibria; nondifferentiable nonlinear problem; nonlinear eigenvalue problem; nonlinear equations; nontrivial solution branch; two-dimensional domain", treatment = "T Theoretical or Mathematical", } @Article{Smarzewski:1984:QS, author = "R. Smarzewski and A. Bujalska-Horbowicz", title = "Quartic {$X$}-splines", journal = j-NUM-MATH, volume = "45", number = "1", pages = "135--148", month = oct, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07 (41A15)", MRnumber = "86a:65013", MRreviewer = "N. Papamichael", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Numerical Methods, M. Curie-Sklodowska Univ., Lublin, Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complexity; convergence; convergence of numerical methods; error analysis; error estimates; nonperiodic X-splines; periodic X-splines; piecewise-quartic interpolatory polynomials; quartic X-splines; smooth-function interpolation; smoothness; splines (mathematics); uniformly spaced knots", treatment = "T Theoretical or Mathematical", } @Article{Chaffy:1984:CHA, author = "Claudine Chaffy", title = "Une construction {``homog{\`e}ne''} d'approximants de {Pad{\'e}} {\`a} deux variables complexes. ({French}) [{A} ``homogeneous'' construction of {Pad{\'e}} approximants in two complex variables]", journal = j-NUM-MATH, volume = "45", number = "1", pages = "149--164", month = oct, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15 (30E20 41A21)", MRnumber = "86c:65018", MRreviewer = "Annie A. M. Cuyt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Lab. IMAG, Saint Martin d'Heres, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence results; error; error analysis; function approximation; function of two complex variables; homogeneous process; integral forms; Pad{\'e} approximants; rational approximants", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Mansfield:1984:FES, author = "Lois Mansfield", title = "On finite element subspaces over quadrilateral and hexahedral meshes for incompressible viscous flow problems", journal = j-NUM-MATH, volume = "45", number = "2", pages = "165--172", month = nov, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "86e:65158", MRreviewer = "Juhani Pitkar{\"a}nta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. of Appl. Maths. and Comput. Sci., Virginia Univ., Charlottesville, VA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; external flows; finite element analysis; finite element subspaces; hexahedral meshes; incompressible viscous flow problems; optimal convergence rates; piecewise bilinear polynomials; piecewise constants; piecewise linear polynomials; piecewise trilinear polynomials; pressure approximation; quadrilateral meshes; stationary Stokes equations; velocity approximation", treatment = "T Theoretical or Mathematical", } @Article{Sanz-Serna:1984:CLM, author = "J. M. Sanz-Serna", title = "Convergence of the {Lambert-McLeod} trajectory solver and of the {CELF} method", journal = j-NUM-MATH, volume = "45", number = "2", pages = "173--182", month = nov, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L99 (34A99)", MRnumber = "86c:65087", MRreviewer = "G. K. Gupta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. de Ecuaciones Funcionales, Valladolid Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "CELF method; convergence; convergence of numerical methods; differential equations; explicit procedure; initial value problem; initial value problems; integration; Lambert-McLeod scheme; Lambert-McLeod trajectory solver; numerical integration; PDEs; perturbation; perturbation techniques; restricted stability; semidiscretisations; Stetter; Strang; time integration; trajectory problem", treatment = "T Theoretical or Mathematical", } @Article{Iserles:1984:SLO, author = "A. Iserles", title = "Solving linear ordinary differential equations by exponentials of iterated commutators", journal = j-NUM-MATH, volume = "45", number = "2", pages = "183--199", month = nov, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "86b:65074", MRreviewer = "Kevin Burrage", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "King's Coll., Cambridge Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; error analysis; error control; exponentials; iterated commutators; iterative methods; linear differential equations; linear ordinary differential equations; order; perturbations; stability; transformations", treatment = "T Theoretical or Mathematical", } @Article{Shampine:1984:ABE, author = "L. F. Shampine", title = "Asymptotic bounds on the errors of one-step methods", journal = j-NUM-MATH, volume = "45", number = "2", pages = "201--206", month = nov, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "86j:65087", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Div. of Numerical Maths., Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic bounds; asymptotically correct local error estimator; differential equations; error analysis; extrapolation; initial value problem; initial value problems; one-step methods; ordinary differential equations; true global errors", treatment = "T Theoretical or Mathematical", } @Article{Marciniak:1984:ECA, author = "Andrzej Marciniak", title = "Energy conserving, arbitrary order numerical solutions of the ${N}$-body problem", journal = j-NUM-MATH, volume = "45", number = "2", pages = "207--218", month = nov, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "70F10 (65L05)", MRnumber = "86c:70009", MRreviewer = "Fu Tong", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0320 (Classical mechanics of discrete systems: general mathematical aspects); A9510C (Celestial mechanics)", corpsource = "Dept. of Numerical Methods, Inst. of Maths., A. Mickiewicz Univ., Poznan, Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; arbitrary order numerical solutions; celestial mechanics; energy conserving modification; extrapolation; extrapolation methods; N-body problem; N-body problems", treatment = "T Theoretical or Mathematical", } @Article{Kannan:1984:MIM, author = "R. Kannan and M. B. Ray", title = "Monotone iterative methods for nonlinear equations involving a noninvertible linear part", journal = j-NUM-MATH, volume = "45", number = "2", pages = "219--225", month = nov, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (15A48 65N20)", MRnumber = "86h:65071", MRreviewer = "Jan Mandel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Texas Univ., Arlington, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iterative methods; monotone iterative methods; noninvertible linear part; nonlinear differential equations; nonlinear elliptic boundary value problems; nonlinear equations; nonlinear perturbations; nontrivial kernel; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Ruscheweyh:1984:GDM, author = "Stephan Ruscheweyh", title = "On a global descent method for polynomials", journal = j-NUM-MATH, volume = "45", number = "2", pages = "227--240", month = nov, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "86g:65097", MRreviewer = "Rolf Jeltsch", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Wurzburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex polynomial; global descent method; global root-finding algorithm; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Ypma:1984:CNL, author = "T. J. Ypma", title = "Convergence of {Newton-like-iterative} methods", journal = j-NUM-MATH, volume = "45", number = "2", pages = "241--251", month = nov, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (90C30)", MRnumber = "86a:65048", MRreviewer = "Jochen W. Schmidt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Appl. Maths., Univ. of the Witwatersrand, Johannesburg, South Africa", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "affine invariant terms; convergence of numerical methods; convergence radius; convergence rate; inexact Newton methods; intermediate systems; iterative methods; linear equations; Newton-like-iterative methods; nonlinear equations; update-Newton method", treatment = "T Theoretical or Mathematical", } @Article{Reemtsen:1984:MNS, author = "R. Reemtsen and A. Kirsch", title = "A method for the numerical solution of the one-dimensional inverse {Stefan} problem", journal = j-NUM-MATH, volume = "45", number = "2", pages = "253--273", month = nov, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M30 (35R30 76T05)", MRnumber = "86e:65139", MRreviewer = "U. Hornung", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory); A4430 (Heat transfer in inhomogeneous media and through interfaces)", corpsource = "Fachbereich Math., TH Darmstadt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; heat equation; heat transfer; linear optimisation; one-dimensional inverse Stefan problem; optimisation", treatment = "T Theoretical or Mathematical", } @Article{Jetter:1984:KAR, author = "Kurt Jetter", title = "{Eine kurze Anmerkung zur Romberg-Integration}. ({German}) [{A} short note on {Romberg} integration]", journal = j-NUM-MATH, volume = "45", number = "2", pages = "275--281", month = nov, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (65B05)", MRnumber = "86e:65036", MRreviewer = "J. G. Herriot", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Fachbereich Math., Duisburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic bounds; asymptotically monotone convergence; convergence of numerical methods; error analysis; errors; integration; modified Romberg table; T-table; U-table", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Strehmel:1984:PAR, author = "K. Strehmel and R. Weiner", title = "Partitioned adaptive {Runge--Kutta} methods and their stability", journal = j-NUM-MATH, volume = "45", number = "2", pages = "283--300", month = nov, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "86b:65076", MRreviewer = "Kevin Burrage", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Sektion Math., Martin-Luther-Univ., Halle-Wittenberg, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "contractivity; convergence of numerical methods; nonlinear differential equations; nonlinear stiff differential equations; numerical stability; partitioned adaptive Runge--Kutta methods; partitioned stiff initial value problems; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Sanchez:1984:EEM, author = "A. M. Sanchez and R. Arcangeli", title = "Estimations des erreurs de meilleure approximation polyn{\^o}miale et d'interpolation de {Lagrange} dans les espaces de {Sobolev} d'ordre non entier. ({French}) [{Estimates} of the best polynomial approximation errors and the {Lagrange} interpolation error in fractional-order {Sobolev} spaces]", journal = j-NUM-MATH, volume = "45", number = "2", pages = "301--321", month = nov, year = "1984", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01389473", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (41A50 65D15)", MRnumber = "85m:65121", MRreviewer = "A. O. Garder", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Lab. d'Analyse Num{\'e}rique, Pau Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "best polynomial approximation error; error analysis; explicit bounds; fractional-order Sobolev spaces; functional analysis; interpolation; Lagrange interpolation error; nonexplicit bounds; polynomials", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Fink:1984:SMS, author = "James P. Fink and Werner C. Rheinboldt", title = "Solution manifolds and submanifolds of parametrized equations and their discretization errors", journal = j-NUM-MATH, volume = "45", number = "3", pages = "323--343", month = dec, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "58E07 (47H17 65J15)", MRnumber = "86d:58018", MRreviewer = "J. Dane{\v{s}}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290D (Functional analysis); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4170 (Differential equations)", corpsource = "Dept. of Maths. and Stat., Pittsburgh Univ., PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach spaces; boundary-value problems; differential geometry; discretization errors; error analysis; finite-dimensional parameter space; Fredholm operator; functional analysis; nonlinear boundary-value problems; nonlinear differential equations; nonlinear parameter-dependent equations; numerical path-tracing procedures; one-dimensional submanifolds; parameterized equations; partial differential equations; solution manifold", treatment = "T Theoretical or Mathematical", } @Article{Hairer:1984:AEG, author = "E. Hairer and C. Lubich", title = "Asymptotic expansions of the global error of fixed-stepsize methods", journal = j-NUM-MATH, volume = "45", number = "3", pages = "345--360", month = dec, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "86c:65065", MRreviewer = "Kevin Burrage", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Heidelberg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic expansions; differential equations; error analysis; extrapolation; extrapolation methods; general fixed-stepsize methods; global error; linear multistep methods; one-step methods", treatment = "T Theoretical or Mathematical", } @Article{Abaffy:1984:CDM, author = "Joszef Abaffy and Charles G. Broyden and Emilio Spedicato", title = "A Class of Direct Methods for Linear Systems", journal = j-NUM-MATH, volume = "45", number = "3", pages = "361--376", month = dec, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05", MRnumber = "86c:65032", MRreviewer = "D. S. Henderson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Karl Marx Univ., Budapest, Hungary", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Brent-Brown methods; deficient rank linear systems; determined linear systems; direct methods; full rank linear systems; linear algebra; LU factorisation methods; orthogonal methods; underdetermined linear systems", treatment = "T Theoretical or Mathematical", } @Article{Tao:1984:ACD, author = "Pham Dinh Tao", title = "Algorithmes de calcul du maximum des formes quadratiques sur la boule unit{\'e} de la norme du maximum. ({French}) [{Some} methods for computing the maximum of quadratic forms on the unit ball of the maximum norm]", journal = j-NUM-MATH, volume = "45", number = "3", pages = "377--401", month = dec, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (49D40)", MRnumber = "86j:65050", MRreviewer = "M. Z. Nashed", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Lab. IMAG, Univ. Sci. et M{\'e}dicale, Saint Martin d'Heres, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "autodual method; direct methods; indirect methods; initial vector selection; iterative methods; iterative sequence convergence; matrix algebra; maximum norm; optimal solution; quadratic forms; symmetric definite positive matrix; unit ball", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Cuppen:1984:UTP, author = "J. J. M. Cuppen", title = "On Updating Triangular Products of {Householder} Reflections", journal = j-NUM-MATH, volume = "45", number = "3", pages = "403--409", month = dec, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "86j:65043", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Maths., Amsterdam Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary elementary orthogonal transformation; arbitrary reflection; Householder reflections; matrix algebra; plane rotation; subsequent indices; triangular products; updating", treatment = "T Theoretical or Mathematical", } @Article{Kiwiel:1984:QAM, author = "Krzysztof C. Kiwiel", title = "A quadratic approximation method for minimizing a class of quasidifferentiable functions", journal = j-NUM-MATH, volume = "45", number = "3", pages = "411--430", month = dec, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C30 (65K05)", MRnumber = "86h:90092", MRreviewer = "Vincen{\c{t}}iu Dumitru", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Syst. Res. Inst., Polish Acad. of Sci., Warsaw, Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate line searches; function approximation; global convergence; iterative method; iterative methods; local convex polyhedral upper approximations; minimax calculations; minimax techniques; minimisation; nondifferentiabilities; objective function; quadratic approximation method; quadratic programming; quadratic programming subproblems; quasidifferentiable functions; stationary points; unconstrained nonlinear programming problem; variable metric methods", treatment = "T Theoretical or Mathematical", } @Article{Eggermont:1984:SRC, author = "P. P. B. Eggermont", title = "Stability and robustness of collocation methods for {Abel}-type integral equations", journal = j-NUM-MATH, volume = "45", number = "3", pages = "431--445", month = dec, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45E10)", MRnumber = "86j:65176", bibdate = "Sat Oct 24 12:38:31 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Delaware Univ., Newark, DE, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Abel-type integral equations; boundedness; collocation methods; convergence of numerical methods; error analysis; first kind; integral equations; optimal asymptotic insensitivity; optimal error estimates; perturbations; piecewise polynomials; polynomials; projection methods; robustness; sequence of projectors; stability", treatment = "T Theoretical or Mathematical", } @Article{Missirlis:1984:CTE, author = "Nikolaos M. Missirlis", title = "Convergence theory of extrapolated iterative methods for a certain class of non-symmetric linear systems", journal = j-NUM-MATH, volume = "45", number = "3", pages = "447--458", month = dec, year = "1984", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "86f:65067", MRreviewer = "W. Niethammer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Appl. Maths., Athens Univ., Greece", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "consistently-ordered matrix; convergence of numerical methods; convergence theory; extrapolated iterative methods; extrapolated successive underrelaxation method; extrapolation; iterative methods; linear algebraic systems; matrix algebra; nonsingular Jacobi iteration matrix; nonsymmetric linear system; skew-symmetric Jacobi iteration matrix", treatment = "T Theoretical or Mathematical", } @Article{Ascher:1985:SDS, author = "Uri Ascher", title = "On some difference schemes for singular singularly-perturbed boundary value problems", journal = j-NUM-MATH, volume = "46", number = "1", pages = "1--30", month = mar, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (65L20)", MRnumber = "86h:65107", MRreviewer = "N. L. Vulchanov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; collocation schemes; convergence results; difference schemes; differential equations; Gauss schemes; Lobatto points; numerical approximation; ordinary differential problems; singular singularly-perturbed boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Arioli:1985:RBC, author = "Mario Arioli and Francesco Romani", title = "Relations Between Condition Numbers and the Convergence of the {Jacobi} Method for Real Positive Definite Matrices", journal = j-NUM-MATH, volume = "46", number = "1", pages = "31--42", month = mar, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (15A12)", MRnumber = "86g:65085", MRreviewer = "Zden{\v{e}}k Dost{\'a}l", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Istituto di Elaborazione dell'Informazione, CNR, Pisa, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "condition; condition numbers; convergence; eig; Jacobi method; Jacobi's method; matrix algebra; nla; real positive definite matrices; real symmetric diagonal dominant matrix; spectral radius", treatment = "T Theoretical or Mathematical", } @Article{Li:1985:RRR, author = "Tien-Yien Li and John Mallet-Paret and James A. Yorke", title = "Regularity results for real analytic homotopies", journal = j-NUM-MATH, volume = "46", number = "1", pages = "43--50", month = mar, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C30 (58C10 65H10)", MRnumber = "86f:90131", MRreviewer = "Romesh Saigal", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Michigan State Univ., East Lansing, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic maps; computer implementation; graph theory; homotopy curves; poles and zeros; real analytic homotopies; regularity results; zeros", treatment = "T Theoretical or Mathematical", } @Article{Niederreiter:1985:STP, author = "Harald Niederreiter", title = "The serial test for pseudo-random numbers generated by the linear congruential method", journal = j-NUM-MATH, volume = "46", number = "1", pages = "51--68", month = mar, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65C10 (11K45)", MRnumber = "86i:65010", MRreviewer = "R. G. Stoneham", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1140G (Monte Carlo methods); C7310 (Mathematics computing)", corpsource = "Math. Inst., Austrian Acad. of Sci., Vienna, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "linear congruential method; Monte Carlo methods; numerical integration; numerical methods; pseudorandom numbers generation; random number generation; serial test", treatment = "T Theoretical or Mathematical", } @Article{Mayer:1985:CPI, author = "G{\"u}nter Mayer", title = "On the convergence of powers of interval matrices. {II}", journal = j-NUM-MATH, volume = "46", number = "1", pages = "69--83", month = mar, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65G10 (65F30)", MRnumber = "86f:65090", MRreviewer = "E. R. Hansen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. for Angewandte Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "interval matrix; matrix algebra; necessary and sufficient condition; real irreducible n*n interval matrix", treatment = "T Theoretical or Mathematical", } @Article{Brokate:1985:NSH, author = "M. Brokate", title = "Numerical solution of a hyperbolic free boundary problem with a method of characteristics", journal = j-NUM-MATH, volume = "46", number = "1", pages = "85--99", month = mar, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M99 (35R35)", MRnumber = "86k:65093", MRreviewer = "Russell C. Thompson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Math. Inst., Augsburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence; front tracking method; hyperbolic free boundary problem; linear hyperbolic system; numerical algorithm; numerical methods; numerical solution; one space dimension", treatment = "T Theoretical or Mathematical", } @Article{Kesavan:1985:SBE, author = "S. Kesavan and A. S. Vasudevamurthy", title = "On some boundary element methods for the heat equation", journal = j-NUM-MATH, volume = "46", number = "1", pages = "101--120", month = mar, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (65N30)", MRnumber = "86f:65172", MRreviewer = "Reinhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0560 (Transport processes: theory)", corpsource = "Tata Inst. of Fund. Res., Bangalore, India", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary element methods; boundary-elements methods; convergence analysis; Crank--Nicolson's method; elliptic problem; heat equation; heat potential; heat transfer", treatment = "T Theoretical or Mathematical", } @Article{Dagnino:1985:ECT, author = "C. Dagnino and A. {Palamara Orsi}", title = "On the evaluation of certain two-dimensional singular integrals with {Cauchy} kernels", journal = j-NUM-MATH, volume = "46", number = "1", pages = "121--130", month = mar, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (41A55)", MRnumber = "86j:65027", MRreviewer = "T. Charles Chen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dipartimento di Matematica, C. Duca degli Abruzzi, Torino, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy kernels; interpolatory type product formulas; transforms; two-dimensional singular integrals", treatment = "T Theoretical or Mathematical", } @Article{Gorlich:1985:AWP, author = "E. G{\"o}rlich and D. Pontzen", title = "Alpha well-posedness, alpha stability, and the matrix theorems of {H.-O. Kreiss}", journal = j-NUM-MATH, volume = "46", number = "1", pages = "131--146", month = mar, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M10", MRnumber = "86f:65157", MRreviewer = "Rudolf Gorenflo", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Lehrstuhl A f{\"u}r Math., RWTH Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "alpha stability; alpha well posedness; difference equations; Lax type theorem; matrix algebra; matrix theorems; partial differential equations; Petrovskii condition; von Neumann condition", treatment = "T Theoretical or Mathematical", } @Article{Mandel:1985:MIM, author = "Jan Mandel", title = "On multilevel iterative methods for integral equations of the second kind and related problems", journal = j-NUM-MATH, volume = "46", number = "1", pages = "147--157", month = mar, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (65J05)", MRnumber = "86g:65234", MRreviewer = "Charles W. Groetsch", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Comput. Centre, Charles Univ., Praha, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "contraction arguments; defect correction; input-output relations; integral equations; iterative aggregation method; iterative methods; multilevel iterative methods; projection-iterative methods; unifying framework", treatment = "T Theoretical or Mathematical", } @Article{Dodd:1985:ACS, author = "S. L. Dodd and D. F. McAllister", title = "Algorithms for computing shape preserving spline approximations to data", journal = j-NUM-MATH, volume = "46", number = "2", pages = "159--174", month = may, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (41A15 65D07)", MRnumber = "86g:65021", MRreviewer = "J. G. Herriot", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "North Carolina State Univ., Raleigh, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximating function; approximation properties; convex function approximation; error; function approximation; increasing function; knots; polynomial spline; shape-preserving approximant; spline approximations; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Laydi:1985:EFR, author = "M. Laydi and P. Lesaint", title = "Sur les {\'e}l{\'e}ments finis rationnels de {Serendip} de degr{\'e} quelconque. ({French}) [{On} rational {Serendip} finite elements of arbitrary degree]", journal = j-NUM-MATH, volume = "46", number = "2", pages = "175--187", month = may, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "87b:65205", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Fac. des Sci., Besancon Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary degree; convex quadrilaterals; Coxeter-Wachspress transformation; error analysis; error bounds; finite element analysis; interpolation; node elimination; rational Serendip finite elements", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Roose:1985:NCN, author = "Dirk Roose and Robert Piessens", title = "Numerical computation of nonsimple turning points and cusps", journal = j-NUM-MATH, volume = "46", number = "2", pages = "189--211", month = may, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "58C27 (65J15)", MRnumber = "86k:58015", MRreviewer = "J{\"u}rgen Scheurle", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290K (Nonlinear and functional equations); B0290M (Numerical integration and differentiation); C4120 (Functional analysis); C4150 (Nonlinear and functional equations); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "augmented system; chemical engineering; cusp catastrophe; differentiation; double turning point; finite-dimensional case; functional analysis; isolated solution; Newton's method; nonlinear equations; nonlinear operator equation; nonsimple turning points; numerical computation; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1985:RSM, author = "G{\"o}tz Alefeld and Peter Volkmann", title = "Regular splittings and monotone iteration functions", journal = j-NUM-MATH, volume = "46", number = "2", pages = "213--228", month = may, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15", MRnumber = "86k:65049", MRreviewer = "P. S. Milojevi{\'c}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Fakult{\"a}t f{\"u}r Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iterative methods; matrices; matrix algebra; MI-functions; monotone iteration functions; regular splitting", treatment = "T Theoretical or Mathematical", } @Article{Sahba:1985:SNI, author = "M. Sahba", title = "On the solution of nonlinear inequalities in a finite number of iterations", journal = j-NUM-MATH, volume = "46", number = "2", pages = "229--236", month = may, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K05 (90C30)", MRnumber = "86m:65070", MRreviewer = "B. Levinger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Electr. Eng., Imperial Coll of Sci. and Technol., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "auxiliary variable; feasible direction vector; finite iterations; iterative methods; linear feasible set; Newton's method; nonlinear equations; nonlinear inequalities; systematic expansion", treatment = "T Theoretical or Mathematical", } @Article{Ruas:1985:QVP, author = "Vitoriano Ruas", title = "Quasisolenoidal velocity-pressure finite element methods for the three-dimensional {Stokes} problem", journal = j-NUM-MATH, volume = "46", number = "2", pages = "237--253", month = may, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76-08 (65N30 73-08)", MRnumber = "86i:76003", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. de Inf., Pontificia Univ. Catolica, Rio de Janeiro, Brazil", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence results; external flows; finite element analysis; parallelepipedal domain; quasisolenoidal velocity-pressure finite element methods; three-dimensional Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{Arioli:1985:EAA, author = "M. Arioli and A. Laratta", title = "Error Analysis of an Algorithm for Solving an Underdetermined Linear System", journal = j-NUM-MATH, volume = "46", number = "2", pages = "255--268", month = may, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20 (65F25 65G05)", MRnumber = "86i:65019", MRreviewer = "J. Stoer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in {\AA ke Bj\"orck}'s bibliography on least squares, which is available by anonymous ftp from {\tt math.liu.se} in {\tt pub/references}.", classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Istituto di Elaborazione dell'Inf., Pisa, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; given point; least distance; linear algebra; nla; orthogonal matrix decompositions; rounding error; rounding errors; roundoff errors; underdetermined linear system; underdetermined system", treatment = "T Theoretical or Mathematical", } @Article{Fortin:1985:TDQ, author = "M. Fortin", title = "A three-dimensional quadratic nonconforming element", journal = j-NUM-MATH, volume = "46", number = "2", pages = "269--279", month = may, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "86f:65192", MRreviewer = "C. Ilioi", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Laval Univ., Que., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation space; basis; discrete regularity property; finite element analysis; second-degree nonconforming element; tetrahedra; three-dimensional quadratic nonconforming element", treatment = "T Theoretical or Mathematical", } @Article{Schaback:1985:CAG, author = "Robert Schaback", title = "Convergence analysis of the general {Gauss--Newton} algorithm", journal = j-NUM-MATH, volume = "46", number = "2", pages = "281--309", month = may, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (65D15)", MRnumber = "86g:65106", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Numerische und Angewandte Math., G{\"o}ttingen Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; convergence of numerical methods; discrete nonlinear approximation problems; function families; general Gauss--Newton algorithm; general norms; general stepsize control procedure; local convergence; quantitative global convergence theorem; regularization principles", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1985:CST, author = "Claude Brezinski", title = "Composite sequence transformations", journal = j-NUM-MATH, volume = "46", number = "3", pages = "311--321", month = jun, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B10", MRnumber = "86h:65007", MRreviewer = "Thomas A. Atchison", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lab. d'Analyse Num{\'e}rique et d'Optimisation, Lille I Univ., Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "classical transformations; composite sequence transformations; extrapolation; interpolation; sequences convergences", treatment = "T Theoretical or Mathematical", } @Article{Howland:1985:ACI, author = "James Lucien Howland and R{\'e}mi Vaillancourt", title = "Attractive cycles in the iteration of meromorphic functions", journal = j-NUM-MATH, volume = "46", number = "3", pages = "323--337", month = jun, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30D05 (58F12)", MRnumber = "86g:30034", MRreviewer = "L. S. O. Liverpool", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Ottawa Univ., Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "attractive cycles; existence; iteration; iterative methods; meromorphic functions; Newton's method; nonlinear equations; numerical results; rational functions", treatment = "T Theoretical or Mathematical", } @Article{Muhlbach:1985:TCM, author = "G. M{\"u}hlbach", title = "Two composition methods for solving certain systems of linear equations", journal = j-NUM-MATH, volume = "46", number = "3", pages = "339--349", month = jun, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05", MRnumber = "87h:65053", MRreviewer = "E. R. Hansen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Angewandte Math., Hannover Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "comparison methods; linear algebra; linear equations systems; quasilinear sequence transformations", treatment = "T Theoretical or Mathematical", } @Article{Schippers:1985:MMB, author = "H. Schippers", title = "Multigrid methods for boundary integral equations", journal = j-NUM-MATH, volume = "46", number = "3", pages = "351--363", month = jun, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N20)", MRnumber = "86i:65017", MRreviewer = "M. S. Abou El-Seoud", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Nat. Aerospace Lab., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "aerofoil; algebraic systems; boundary integral equations; boundary-value problems; coarse grid corrections; integral equations; iterative methods; iterative process; multigrid methods; partial differential equations; potential flow; relaxation schemes", treatment = "T Theoretical or Mathematical", } @Article{Stummel:1985:FEAa, author = "Friedrich Stummel", title = "Forward error analysis of {Gaussian} elimination. {I}. Error and residual estimates", journal = j-NUM-MATH, volume = "46", number = "3", pages = "365--395", month = jun, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65G05 (65F10)", MRnumber = "87d:65054a", MRreviewer = "Karl-Heinz Bachmann", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Fachbereich Math., Johann Wolfgang Goethe-Univ., Frankfurt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "absolute errors; arithmetic floating-point operations; associated optimal component-wise error; coefficient matrices; condition numbers; data perturbations; error analysis; error estimates; first order approximations; forward error analysis; Gaussian elimination; general linear algebraic systems; linearization method; matrix norms; perturbation theory; residual estimates; rounding errors; superposition; vector norms", treatment = "T Theoretical or Mathematical", } @Article{Stummel:1985:FEAb, author = "Friedrich Stummel", title = "Forward error analysis of {Gaussian} elimination. {II}. Stability theorems", journal = j-NUM-MATH, volume = "46", number = "3", pages = "397--415", month = jun, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65G05 (65F10)", MRnumber = "87d:65054b", MRreviewer = "Karl-Heinz Bachmann", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Fachbereich Math., Johann Wolfgang Goethe-Univ., Frankfurt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a priori error; determinant; error analysis; forward error analysis; Gaussian elimination; growth factors; linear algebraic systems; M-matrices; nonnegative matrices; pivot elements; residual estimates; signregular matrices; stability; stability theorems", treatment = "T Theoretical or Mathematical", } @Article{Ciavaldini:1985:FEM, author = "J. F. Ciavaldini and M. Crouzeix", title = "A finite element method scheme for one-dimensional elliptic equations with high super convergence at the nodes", journal = j-NUM-MATH, volume = "46", number = "3", pages = "417--427", month = jun, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (65N30)", MRnumber = "86g:65140", MRreviewer = "Beny Neta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "IRMAR, LA, Rennes I Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "classical error estimates; difference equations; finite element method scheme; high super convergence; integration formula; linear system; nodes; numerical integration formula; one dimensional elliptic equations", treatment = "T Theoretical or Mathematical", } @Article{Knabner:1985:CSP, author = "Peter Knabner", title = "Control of {Stefan} problems by means of linear-quadratic defect minimization", journal = j-NUM-MATH, volume = "46", number = "3", pages = "429--442", month = jun, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N99 (65P05 80A20)", MRnumber = "87f:65145", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4410 (Heat conduction (models, phenomenological description)); C1180 (Optimisation techniques); C1310 (Control system analysis and synthesis methods)", corpsource = "Inst. f{\"u}r Math., Augsburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "controllability; convergence estimates; heat conduction; heat conduction process; linear auxiliary problem; linear-quadratic defect minimization; minimisation; numerical examples; polynomials; splines; splines (mathematics); Stefan problems control", treatment = "T Theoretical or Mathematical", } @Article{Modi:1985:EIJ, author = "J. J. Modi and J. D. Pryce", title = "Efficient implementation of {Jacobi}'s diagonalization method on the {DAP}", journal = j-NUM-MATH, volume = "46", number = "3", pages = "443--454", month = jun, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (65W05)", MRnumber = "86j:65045", MRreviewer = "A. Bunse-Gerstner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "C5220 (Computer architecture); C5230 (Digital arithmetic methods); C5440 (Multiprocessing systems)", corpsource = "Dept. Eng., Cambridge Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arithmetic components; computer architecture; DAP; digital arithmetic; distributed array processor; distributed processing; Jacobi's diagonalization method; Jacobi's method; nla; noninteracting rotations; parallel environment; parallel processing; prll", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Zietak:1985:CSL, author = "K. Zi{\k{e}}tak", title = "The {Chebyshev} solution of the linear matrix equation {$AX+YB=C$}", journal = j-NUM-MATH, volume = "46", number = "3", pages = "455--478", month = jun, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30 (41A50)", MRnumber = "86m:65036", MRreviewer = "Henry Wolkowicz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. of Comput. Sci., Wroclaw Univ., Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; Chebyshev solution; linear matrix equation; matrix algebra; necessary and sufficient conditions", treatment = "T Theoretical or Mathematical", } @Article{VanLoan:1985:CGS, author = "Charles F. {Van Loan}", title = "Computing the {$CS$} and the {Generalized} singular value decompositions", journal = j-NUM-MATH, volume = "46", number = "4", pages = "479--491", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30", MRnumber = "87c:65044", MRreviewer = "Henry Wolkowicz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2-by-1 block matrix; CS decomposition; csd; Generalized singular value decompositions; gsvd; Jacobi-type clean-up operation; LINPACK SVD algorithm; matrix algebra; nla; orthogonal column matrix; orthonormal columns; parallel computation; parallel processing; Stewart's algorithm; systolic-type computer architectures", treatment = "T Theoretical or Mathematical", } @Article{Robert:1985:EEI, author = "R. Robert and P. Witomski", title = "Sur une {\'e}quation d'{\'e}volution int{\'e}gro-diff{\'e}rentielle singuli{\`e}re lin{\'e}aire. ({French}) [{A} singular integro-differential evolution equation]", journal = j-NUM-MATH, volume = "46", number = "4", pages = "493--498", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (65P05)", MRnumber = "86m:65164", MRreviewer = "Christopher T. H. Baker", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Univ. Sci. et Med., Lab. IMAG, Saint Martin d'Heres, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integro-differential equations; linear differential equations; linear equation; numerical method; singular integro-differential evolution equation", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Ishihara:1985:FEL, author = "Kazuo Ishihara", title = "A finite element lumped mass scheme for solving eigenvalue problems of circular arches. {II}. Numerical experiments with {Double} precision arithmetic", journal = j-NUM-MATH, volume = "46", number = "4", pages = "499--504", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "86h:65179", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations); C7440 (Civil and mechanical engineering computing)", corpsource = "Dept. of Math., Kyushu Inst. of Technol., Kitakyushu, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "circular arches; civil engineering; convergence properties; Double precision arithmetic; eigenvalue problems; eigenvalues and eigenfunctions; finite element analysis; finite element lumped mass scheme; matrices; matrix algebra; mechanical engineering; numerical results; partial differential equations; PDEs", treatment = "T Theoretical or Mathematical", } @Article{Canuto:1985:SME, author = "C. Canuto and S. I. Hariharan and L. Lustman", title = "Spectral methods for exterior elliptic problems", journal = j-NUM-MATH, volume = "46", number = "4", pages = "505--520", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "86j:65148", MRreviewer = "Hans-Peter Helfrich", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Inst. di Analisi Numerica, CNR., Pavia, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; infinite order interior spectral scheme; numerical farfield conditions; numerical solution accuracy; partial differential equations; simple Laplace problem; spectral analysis; spectral approximations; spectral boundary treatment at infinity; two-dimensional exterior elliptic problems", treatment = "T Theoretical or Mathematical", } @Article{Niijima:1985:DSE, author = "Koichi Niijima", title = "On a difference scheme of exponential type for a nonlinear singular perturbation problem", journal = j-NUM-MATH, volume = "46", number = "4", pages = "521--539", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "87a:65131", MRreviewer = "Teresa Regi\'nska", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Kyushu Univ., Fukuoka, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; difference equations; Engquist--Osher scheme; exponential difference scheme; L/sup 1/ convergence result; nonlinear differential equations; nonlinear singular perturbation problem; nonmonotone difference scheme; partial differential equations; PDEs; perturbation techniques", treatment = "T Theoretical or Mathematical", } @Article{Baltus:1985:TEB, author = "Christopher Baltus and William B. Jones", title = "Truncation error bounds for limit-periodic continued fractions {$K(a_n/1)$} with $\lim a_n=0$", journal = j-NUM-MATH, volume = "46", number = "4", pages = "541--569", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15", MRnumber = "86j:65022", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Colorado Univ., Boulder, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence rate; error analysis; function approximation; hypergeometric function ratios; Kummer function ratios; limit-periodic continued fractions; truncation error bounds", treatment = "T Theoretical or Mathematical", } @Article{Pao:1985:MIM, author = "C. V. Pao", title = "Monotone iterative methods for finite difference system of reaction-diffusion equations", journal = j-NUM-MATH, volume = "46", number = "4", pages = "571--586", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N05 (65N20)", MRnumber = "86h:65156", MRreviewer = "A. O. Garder", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "biological systems; boundary-value problems; chemical systems; difference equations; existence-comparison theorem; iterative methods; linear discrete system; lower solutions; monotone iterative methods; monotone sequences; nonlinear differential equations; nonlinear discrete equations; nonlinear finite difference system; numerical solutions; partial differential equations; physical systems; reaction-diffusion equations; semilinear elliptic boundary-value problems; semilinear parabolic boundary-value problems; upper solutions; well-posed problem", treatment = "T Theoretical or Mathematical", } @Article{Molchanov:1985:FEM, author = "I. N. Molchanov and \=E. F. Galba", title = "On finite element methods for the {Neumann} problem", journal = j-NUM-MATH, volume = "46", number = "4", pages = "587--598", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "86j:65162", MRreviewer = "I. Christie", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. of Cybern., Ukrainian Acad. of Sci., Kiev, Ukrainian SSR, USSR", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continuous problem; convergence; convergence of numerical methods; discrete solutions; discretisation; finite element analysis; finite element methods; Neumann problem; partial differential equations; projection onto unity; Ritz process; second order elliptic equation; self-adjoint operator; unique solution; variational formulations; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Eydeland:1985:MSN, author = "Alexander Eydeland", title = "A method of solving nonlinear variational problems by nonlinear transformation of the objective functional. {II}", journal = j-NUM-MATH, volume = "46", number = "4", pages = "599--609", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (49A29)", MRnumber = "87j:65072", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4120 (Functional analysis); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Massachusetts Univ., Amherst, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bingham flow problem; functional analysis; minimisation; minimization; nondifferentiable objective functionals; nonlinear equations; nonlinear transformation; nonlinear variational problems; objective functional; pipe flow; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Lyness:1985:EME, author = "J. N. Lyness", title = "The {Euler Maclaurin} expansion for the {Cauchy} principal value integral", journal = j-NUM-MATH, volume = "46", number = "4", pages = "611--622", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (65B15)", MRnumber = "87a:65048", MRreviewer = "M. M. Chawla", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; asymptotic expansion; Cauchy principal value integral; Euler Maclaurin expansion; Euler Maclaurin summation formula; Fourier coefficient asymptotic expansion; function approximation; integration; numerical quadrature; trapezoidal rule", treatment = "T Theoretical or Mathematical", } @Article{Peisker:1985:MAB, author = "Petra Peisker", title = "A multilevel algorithm for the biharmonic problem", journal = j-NUM-MATH, volume = "46", number = "4", pages = "623--634", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20 (65F10 65N30)", MRnumber = "86j:65144", MRreviewer = "Charles I. Goldstein", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Abteilung f{\"u}r Math., Ruhr-Univ., Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "biharmonic problem; convergence; convergence of numerical methods; finite element analysis; finite element discretisation; H/sup 3/-regularity; mixed variable formulation; multilevel algorithm; numerical solution; partial differential equations; PDEs", treatment = "T Theoretical or Mathematical", } @Article{Lund:1985:BTR, author = "John Lund", title = "{Bessel} transforms and rational extrapolation", journal = j-NUM-MATH, volume = "47", number = "1", pages = "1--14", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R10 (65D30)", MRnumber = "87e:65084", MRreviewer = "V{\'i}t{\u{e}}zslav Vesel\'y", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290Z (Other numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4190 (Other numerical methods)", corpsource = "Montana State Univ., Bozeman, MT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bessel functions; Bessel transforms; damped transform; extrapolation; function approximation; integration; numerical integration; rational extrapolation; sinc quadrature rule; slow rates of decrease; Thiele algorithm; transforms", treatment = "T Theoretical or Mathematical", } @Article{Lamp:1985:FFT, author = "U. Lamp and K. T. Schleicher and W. L. Wendland", title = "The fast {Fourier} transform and the numerical solution of one-dimensional boundary integral equations", journal = j-NUM-MATH, volume = "47", number = "1", pages = "15--38", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (45L10 65T05)", MRnumber = "86m:65145", MRreviewer = "Jacques Lemordant", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); B0290P (Differential equations); B0290R (Integral equations); B0290Z (Other numerical methods); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4170 (Differential equations); C4180 (Integral equations); C4190 (Other numerical methods)", corpsource = "Fachbereich Math., Tech. Hochschule Darmstadt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error estimates; boundary element method; boundary-elements methods; Cauchy kernel; clamped plate; closed smooth curves; convergence of numerical methods; convergence rates; elliptic pseudodifferential equations; equidistant partitions; error analysis; exponential error estimates; fast Fourier transform; fast Fourier transforms; Fourier series; fully discretised projection method; Gaussian quadrature; integral equations; integration; integro-differential equations; integrodifferential equations; one-dimensional boundary integral equations; partial differential equations; plane estatostatics; quadrature errors; quasioptimal error estimates; scattering problem", treatment = "T Theoretical or Mathematical", } @Article{Bourdeau:1985:TGL, author = "Marc Bourdeau and Alain Pitre", title = "Tables of good lattices in four and five dimensions", journal = j-NUM-MATH, volume = "47", number = "1", pages = "39--43", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (65A05)", MRnumber = "86h:65027", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. de Math. Appliqu{\'e}es, {\'E}cole Polytech. de Montreal, Que., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "best lattices; function approximation; function integrals; good lattice theory; integration", treatment = "T Theoretical or Mathematical", } @Article{Cortey-Dumont:1985:FEA, author = "Ph. Cortey-Dumont", title = "On finite element approximation in the {$L^\infty$}-norm of variational inequalities", journal = j-NUM-MATH, volume = "47", number = "1", pages = "45--57", month = aug, year = "1985", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01389875", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "86j:65150", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; convergence of numerical methods; convergence order; discrete maximum principle; finite element analysis; finite element approximation; irregular obstacles; L/sup infinity /-norm; nonlinear operators; variational inequalities; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Albrecht:1985:NTO, author = "Peter Albrecht", title = "Numerical treatment of {ODEs}: the theory of ${A}$-methods", journal = j-NUM-MATH, volume = "47", number = "1", pages = "59--87", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "86k:65051", MRreviewer = "Henning Esser", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. de Inf., Pontificia Univ. Catolica, Rio de Janeiro, Brazil", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A-methods; Butcher's effective order methods; convergence of numerical methods; differential equations; error analysis; error constants; error control; Gear's interpretation; general order criterion; global error; linear k-step schemes; local discretisation error; Nordsieck forms; ODEs; relaxation methods; stability; step changing", treatment = "T Theoretical or Mathematical", } @Article{Kowalski:1985:GQO, author = "M. A. Kowalski and A. G. Werschulz and H. Wo{\'z}niakowski", title = "Is {Gauss} quadrature optimal for analytic functions?", journal = j-NUM-MATH, volume = "47", number = "1", pages = "89--98", month = aug, year = "1985", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01389877", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "86j:65029", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Inst. of Inf., Warsaw Univ., Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic extension; analytic functions; asymptotic setting; error analysis; function approximation; Gauss quadrature; Gaussian quadrature; integrand sampling; integration; Legendre polynomial zeros; open disc; optimal points; penalty; worst-case setting", treatment = "T Theoretical or Mathematical", } @Article{Hutchinson:1985:SND, author = "M. F. Hutchinson and F. R. de Hoog", title = "Smoothing noisy data with spline functions", journal = j-NUM-MATH, volume = "47", number = "1", pages = "99--106", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D10 (65D07)", MRnumber = "86j:65020", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "CSIRO Div. of Math. and Stat., Canberra, ACT, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "generalised cross validation; influence matrix trace calculation; noisy data smoothing; polynomial smoothing spline; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Milner:1985:PHF, author = "Fabio A. Milner", title = "A primal hybrid finite element method for quasilinear second order elliptic problems", journal = j-NUM-MATH, volume = "47", number = "1", pages = "107--122", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "86m:65146", MRreviewer = "Andreas Felgenhauer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Purdue Univ., W Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; finite element analysis; linear differential equations; minimal regularity requirements; nonlinear differential equations; nonlinear elliptic equations; optimal order error estimates; partial differential equations; primal hybrid finite element method; quasilinear second order elliptic problems; Robin problem", treatment = "T Theoretical or Mathematical", } @Article{Jerome:1985:ANA, author = "Joseph W. Jerome", title = "An adaptive {Newton} algorithm based on numerical inversion: regularization as postconditioner", journal = j-NUM-MATH, volume = "47", number = "1", pages = "123--138", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (58C15)", MRnumber = "86j:65061", MRreviewer = "Jos{\'e} Mario Mart{\'i}nez", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Northwestern Univ., Evanston, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive Newton algorithm; approximate inversion processes; approximate right inverses; band-limited regularisation; complexity; computational complexity; convergence of numerical methods; convergent process; defect correction; elliptic problems; error analysis; Fourier transform space; Holder space norms, optimal order; information processing; iterative methods; multiparameter selection; Nash--Moser iteration; numerical inversion; postconditioner; superlinearly convergent approximate Newton iteration; Vituskin's theory; Wittaker-Shannon sampling theory", treatment = "T Theoretical or Mathematical", } @Article{Nakao:1985:EEG, author = "Mitsuhiro T. Nakao", title = "Error estimates of a {Galerkin} method for some nonlinear {Sobolev} equations in one space dimension", journal = j-NUM-MATH, volume = "47", number = "1", pages = "139--157", month = aug, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60", MRnumber = "86j:65134", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math., Kyushu Inst. of Technol., Kitakyushu, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori procedure; convergence of numerical methods; convergence rates; error analysis; finite element analysis; nonlinear differential equations; nonlinear evolution equations; nonlinear Sobolev equations; optimal order; optimal order {$L_p$} error estimates; partial differential equations; semidiscrete Galerkin finite element method; single space variable; spatial derivatives; spatial Gauss points; spatial Jacobi points; standard nodal superconvergence results", treatment = "T Theoretical or Mathematical", } @Article{Bakke:1985:SRQ, author = "V. L. Bakke and Z. Jackiewicz", title = "Stability of reducible quadrature methods for {Volterra} integral equations of the second kind", journal = j-NUM-MATH, volume = "47", number = "2", pages = "159--173", month = sep, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45L10)", MRnumber = "86j:65175", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); B0290R (Integral equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Arkansas Univ,. Fayetteville, AR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$\theta$-methods; absolute stability; convergence of numerical methods; difference equations; integral equations; integration; Poincare difference equations; reducible quadrature methods; second kind; stability analysis; Volterra integral equations", treatment = "T Theoretical or Mathematical", } @Article{Roman:1985:CCR, author = "J. Roman", title = "Calculs de complexit{\'e} relatifs {\`a} une m{\'e}thode de dissection embo{\^i} t{\'e}e. ({French}) [{Relative} complexity bounds for a nested dissection method]", journal = j-NUM-MATH, volume = "47", number = "2", pages = "175--190", month = sep, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (65N20)", MRnumber = "86k:65023", MRreviewer = "Dietrich Braess", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4140 (Linear algebra); C4240 (Programming and algorithm theory); C7310 (Mathematics computing)", corpsource = "Bordeaux I Univ., UER de Math. et d'Inf., Talence, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arborescent structure; bounded degree; computational complexity; envelope method; finite element analysis; finite element package; graph theory; initial graph; linear algebra; linear equations; MODULEF; nested dissection ordering; relative complexity calculations; root n separator theorem; separator family; software packages; sparse symmetric positive definite matrices; two dimensional finite element problems; undirected graphs; vertex set partitioning", language = "French", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Rye:1985:RVR, author = "Egil Rye and Haakon Waadeland", title = "Reflections on value regions, limit regions and truncation errors for continued fractions", journal = j-NUM-MATH, volume = "47", number = "2", pages = "191--215", month = sep, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30B70 (40A15 65D99)", MRnumber = "86i:30003", MRreviewer = "W. J. Thron", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B0290B (Error analysis in numerical methods); C1160 (Combinatorial mathematics); C4110 (Error analysis in numerical methods)", corpsource = "Inst. for Matematikk og Stat., Trondheim Univ., Dragvoll, Norway", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continued fractions; convergence; convergence of numerical methods; error analysis; error estimates; limit regions; number theory; numerical computation; truncation errors; value regions", treatment = "T Theoretical or Mathematical", } @Article{Brezzi:1985:TFM, author = "Franco Brezzi and Jim {Douglas, Jr.} and L. D. Marini", title = "Two families of mixed finite elements for second order elliptic problems", journal = j-NUM-MATH, volume = "47", number = "2", pages = "217--235", month = sep, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "87g:65133", MRreviewer = "Bruce A. Finlayson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dipartimento di Meccanica Strutturale, Pavia Univ. and Istituto di Anal. Numerica, CNR, Pavia, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; error analysis; error estimates; finite element analysis; hybrid finite elements; mixed finite elements; partial differential equations; Raviart--Thomas--Nedelec spaces; rectangles; second order elliptic problems; superconvergence phenomena; triangles", treatment = "T Theoretical or Mathematical", } @Article{Gohberg:1985:NSI, author = "I. Gohberg and I. Koltracht", title = "Numerical solution of integral equations, fast algorithms and {Kre{\u{\i}}n-Sobolev} equation", journal = j-NUM-MATH, volume = "47", number = "2", pages = "237--288", month = sep, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45L10)", MRnumber = "87g:65162", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); B0290R (Integral equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Sch. of Math. Sci., Tel Aviv Univ., Ramat Aviv, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; fast numerical algorithms; Fredholm integral equations; functional equations; functional-differential nonlinear equation; integral equations; Krein-Sobolev equation; nonlinear differential equations; resolvent; second kind; stability; unified approach", treatment = "T Theoretical or Mathematical", } @Article{Andrew:1985:CNE, author = "Alan L. Andrew and John W. Paine", title = "Correction of {Numerov}'s eigenvalue estimates", journal = j-NUM-MATH, volume = "47", number = "2", pages = "289--300", month = sep, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L15", MRnumber = "86j:65101", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., La Trobe Univ., Bundoora, Vic., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; eigenvalue estimates; eigenvalues and eigenfunctions; error analysis; error correction; linear differential equations; Numerov's method; regular Sturm--Liouville problem", treatment = "T Theoretical or Mathematical", } @Article{Bellen:1985:NSD, author = "Alfredo Bellen and Marino Zennaro", title = "Numerical solution of delay differential equations by uniform corrections to an implicit {Runge--Kutta} method", journal = j-NUM-MATH, volume = "47", number = "2", pages = "301--316", month = sep, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34K05 65Q05)", MRnumber = "87b:65087", MRreviewer = "V. L. Bakke", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Istituto di Matematica, Trieste Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori corrections; continuous approximate solution; delay differential equations; delay-differential systems; differential equations; Gaussian points; implicitly Runge--Kutta method; ODEs; one-step collocation method; predictor-corrector method; Runge--Kutta methods; uniform corrections", treatment = "T Theoretical or Mathematical", } @Article{Arnold:1985:CSC, author = "Douglas N. Arnold and Wolfgang L. Wendland", title = "The convergence of spline collocation for strongly elliptic equations on curves", journal = j-NUM-MATH, volume = "47", number = "3", pages = "317--341", month = nov, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N40 (65N30 65N35)", MRnumber = "87f:65142", MRreviewer = "Michael Minkoff", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Maths., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary element methods; boundary-elements methods; boundary-value problems; Cauchy singular integral equations; convergence; curves; error analysis; Fourier expansions; Fourier transforms; integro-differential operators; piecewise constant functions; spline collocation; splines (mathematics); strongly elliptic equations; trial functions; two-dimensional boundary value problems; unified asymptotic error analysis", treatment = "T Theoretical or Mathematical", } @Article{Natterer:1985:FRT, author = "Frank Natterer", title = "{Fourier} reconstruction in tomography", journal = j-NUM-MATH, volume = "47", number = "3", pages = "343--353", month = nov, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65T05 (42A38 44A15 92A07)", MRnumber = "87m:65222", MRreviewer = "Ulrich Oppel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A8760J (X-rays and particle beams (medical uses)); C7330 (Biology and medical computing)", corpsource = "Inst. f{\"u}r Numerische und Instrumentelle Math., M{\"u}nster Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error analysis; computerised tomography; error analysis; filtered backprojection; Fourier reconstruction; mathematically generated chest phantom; tomography", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Guenther:1985:RPI, author = "Ronald Guenther and Robert Hudspeth and William McDougal and J{\"u}rgen Gerlach", title = "Remarks on parameter identification. {I}", journal = j-NUM-MATH, volume = "47", number = "3", pages = "355--361", month = nov, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65P05 (35K05 65K10)", MRnumber = "87b:65220", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C1220 (Simulation, modelling and identification); C4170 (Differential equations)", corpsource = "Oregon State Univ., Corvallis, OR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite dimensional optimization problems; parabolic equation; parameter estimation; partial differential equation; partial differential equations; spatially varying diffusion coefficient", treatment = "T Theoretical or Mathematical", } @Article{Dahlquist:1985:TGM, author = "Germund Dahlquist", title = "On transformations of graded matrices, with applications to stiff {ODEs}", journal = j-NUM-MATH, volume = "47", number = "3", pages = "363--385", month = nov, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (65F30)", MRnumber = "87b:65089", MRreviewer = "David R. Hill", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Numerical Anal. and Comput. Sci., R. Inst. of Technol., Stockholm, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "block LR algorithm; differential equations; factorized Jacobian; graded matrices; numerical treatment; stiff ordinary differential equations; transformations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gustafson:1985:SCA, author = "Sven-{\AA}ke Gustafson", title = "Stable convergence acceleration using {Laplace} transforms", journal = j-NUM-MATH, volume = "47", number = "3", pages = "387--394", month = nov, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B10 (65D30)", MRnumber = "86m:65009", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Dept. of Numerical Anal. and Comput. Sci., R. Inst. of Technol., Stockholm, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Laplace transforms; power series; quadrature schemes; series (mathematics); stable convergence acceleration", treatment = "T Theoretical or Mathematical", } @Article{Brass:1985:FPQ, author = "Helmut Bra{\ss}", title = "{Eine Fehlerabsch{\"a}tzung f{\"u}r positive Quadraturformeln}. ({German}) [{An} error estimate for positive quadrature formulas]", journal = j-NUM-MATH, volume = "47", number = "3", pages = "395--399", month = nov, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "86k:65019", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Tech. Univ., Braunschweig, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error bound; error estimates; positive quadrature formulae; positive quadrature formulas", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Menzel:1985:PSL, author = "Reinhard Menzel and Hubert Schwetlick", title = "Parametrization via secant length and application to path following", journal = j-NUM-MATH, volume = "47", number = "3", pages = "401--412", month = nov, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "87h:65100", MRreviewer = "H. D. Mittelmann", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1220 (Simulation, modelling and identification); C1340K (Nonlinear control systems)", corpsource = "Sektion Math., Tech. Univ., Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "local Q-quadratic convergence; Newton-like method; nonlinear system; nonlinear systems; parameter estimation; parametrization; path following; quadratic constraint; secant length", treatment = "A Application; T Theoretical or Mathematical", } @Article{Schmidt:1985:CAN, author = "Jochen W. Schmidt and Wolfgang Hoyer and Christian Haufe", title = "Consistent approximations in {Newton-type} decomposition methods", journal = j-NUM-MATH, volume = "47", number = "3", pages = "413--425", month = nov, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "86m:65054", MRreviewer = "Beny Neta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Sektion Math., Tech. Univ., Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; consistent approximations; derivatives; difference quotients; large systems; Newton-type decomposition methods; nonlinear equations; rigorous convergence analysis", treatment = "T Theoretical or Mathematical", } @Article{Miller:1985:NCT, author = "Valerie A. Miller and Michael Neumann", title = "A note on comparison theorems for nonnegative matrices", journal = j-NUM-MATH, volume = "47", number = "3", pages = "427--434", month = nov, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65F35)", MRnumber = "87a:65062", MRreviewer = "R. P. Tewarson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Stat., South Carolina Univ., Columbia, SC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "comparison theorems; iteration matrices; iterative methods; matrix algebra; nonnegative matrices", treatment = "T Theoretical or Mathematical", } @Article{Comodi:1985:ABP, author = "M. I. Comodi", title = "Approximation of a bending plate problem with a boundary unilateral constraint", journal = j-NUM-MATH, volume = "47", number = "3", pages = "435--458", month = nov, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K25)", MRnumber = "86k:65109", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290P (Differential equations); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dipartimento di Matematica, Pavia Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; bending plate problem; boundary unilateral constraint; boundary-value problems; displacement; error bounds; finite element method; moments; unilaterally supported bent plate problem; variational formulation; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Bruch:1985:AIE, author = "John C. {Bruch, Jr.} and James M. Sloss", title = "Alternating iteration and elliptic variational inequalities", journal = j-NUM-MATH, volume = "47", number = "3", pages = "459--481", month = nov, year = "1985", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01389592", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N99 (35J85 76S05)", MRnumber = "86m:65156", MRreviewer = "W. Velte", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290P (Differential equations); C1180 (Optimisation techniques); C4170 (Differential equations)", corpsource = "Dept. of Mech. and Environ. Eng., California Univ., Santa Barbara, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "alternating iteration; boundary value problems; boundary-value problems; elliptic variational inequalities; filtration problem; successive solutions; variational inequality; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Berry:1985:ACS, author = "M. W. Berry and M. T. Heath and I. Kaneko and M. Lawo and R. J. Plemmons and R. C. Ward", title = "An algorithm to compute a sparse basis of the null space", journal = j-NUM-MATH, volume = "47", number = "4", pages = "483--504", month = dec, year = "1985", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01389453", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30", MRnumber = "87b:65048", MRreviewer = "J. A. Cord{\'o}n", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math. and Comput. Sci., North Carolina State Univ., Raleigh, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "array processor; CYBER 205 vector computer; dual variable method; force method; FORTRAN software; FPS-164; Gaussian elimination; Givens rotations; IBM 3081 computer; mixed finite element problems; Navier--Stokes equations; null space; orthogonal factorization; plane stress; plate bending; programming theory; quadratic programming; sparse basis computation algorithm; structural analysis; turnback algorithm", treatment = "T Theoretical or Mathematical", } @Article{Eiermann:1985:SSM, author = "M. Eiermann and W. Niethammer and R. S. Varga", title = "A study of semiiterative methods for nonsymmetric systems of linear equations", journal = j-NUM-MATH, volume = "47", number = "4", pages = "505--533", month = dec, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "87d:65034", MRreviewer = "R. J. Plemmons", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Praktische Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues; eigenvalues and eigenfunctions; Euler methods; function theory; generalized Faber polynomials; iterative methods; linear equations; nonsymmetric systems; one-step iteration; polynomials; semiiterative methods", treatment = "T Theoretical or Mathematical", } @Article{Akrivis:1985:FNG, author = "G. Akrivis and A. Burgstaller", title = "{Fehlerabsch{\"a}tzungen f{\"u}r nichtsymmetrische Gau{\ss}-Quadraturformeln}. ({German}) [{Error} estimates for nonsymmetric {Gaussian} quadrature formuale]", journal = j-NUM-MATH, volume = "47", number = "4", pages = "535--543", month = dec, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (65D32)", MRnumber = "87e:65017", MRreviewer = "Henning Esser", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Math. Inst., Ludwig-Maximilians-Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error functional; Gaussian quadrature formulae; Jacobi weights; weight function", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Rentrop:1985:PRK, author = "Peter Rentrop", title = "Partitioned {Runge--Kutta} methods with stiffness detection and stepsize control", journal = j-NUM-MATH, volume = "47", number = "4", pages = "545--564", month = dec, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "86m:65079", MRreviewer = "L. F. Shampine", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Fachbereich Math., Kaiserslautern Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A-stable Rosenbrock-Wanner method; autonomous initial value problems; coupling conditions; initial value problems; numerical solution; partitioned Runge--Kutta methods; PRK4; RKF4RW; Runge--Kutta methods; stepsize control; stiffness detection", treatment = "T Theoretical or Mathematical", } @Article{Grigorieff:1985:ESG, author = "Rolf Dieter Grigorieff", title = "{Einige Stabilit{\"a}tsungleichungen f{\"u}r gew{\"o}hnliche Differenzengleichungen in nichtkompakter Form}. ({German}) [{Some} stability inequalities for ordinary difference equations in noncompact form]", journal = j-NUM-MATH, volume = "47", number = "4", pages = "565--576", month = dec, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Q05", MRnumber = "87j:65156", MRreviewer = "R{\'e}mi Vaillancourt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Fachbereich Math., Tech. Univ., Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; difference equations; discrete Green's function; Green's function methods; lower order approximation; noncompact form; ordinary boundary value problems; ordinary difference equations; Spijker-norms; stability; stability inequalities", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Jacobsen:1985:RML, author = "Lisa Jacobsen", title = "Repeated modifications of limit $k$-periodic continued fractions", journal = j-NUM-MATH, volume = "47", number = "4", pages = "577--595", month = dec, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30B70 (65B15)", MRnumber = "87b:30004", MRreviewer = "Mariano Gasca", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Trondheim Univ., Norway", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "k-periodic sequences; limit k-periodic; limit k-periodic continued fractions; modified approximants; numerical analysis", treatment = "T Theoretical or Mathematical", } @Article{Kosler:1985:FGN, author = "R. Kosler", title = "{${W}^{m,2}$-Fehlerabsch{\"a}tzungen f{\"u}r Galerkin-N{\"a}herungen schwach elliptischer quasilinearer Randwertprobleme $2m$-ter Ordnung}. ({German}) [${W}^{m,2}$-error estimates for {Galerkin} approximations of weakly elliptic quasilinear boundary value problems of order $2m$]", journal = j-NUM-MATH, volume = "47", number = "4", pages = "597--609", month = dec, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "87a:65182", MRreviewer = "K. Najzar", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a priori bounds; boundary-value problems; differential operator; discrete solutions asymptotic error estimates; error analysis; error estimates; finite element method; Galerkin approximations; weak elliptic quasilinear boundary value problems", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Utreras:1985:SND, author = "Florencio I. Utreras", title = "Smoothing noisy data under monotonicity constraint: existence, characterization and convergence rates", journal = j-NUM-MATH, volume = "47", number = "4", pages = "611--625", month = dec, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D10", MRnumber = "87g:65022", MRreviewer = "Girdhar G. Agarwal", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Matematicas y Ciencias de la Comput., Chile Univ., Santiago, Chile", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "characterization; constrained smoothing splines; convergence rates; convex constraint; convexity; interpolation; interpolation procedures; monotonicity constraints existence; positivity; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Casas:1985:EFE, author = "Eduardo Casas", title = "{$L^2$} estimates for the finite element method for the {Dirichlet} problem with singular data", journal = j-NUM-MATH, volume = "47", number = "4", pages = "627--632", month = dec, year = "1985", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "87j:65146", MRreviewer = "Jacques Couot", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. de Ecuaciones Funcionales, Facultad de Ciencias, Santander, Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Borel measures; convex domains; difference equations; Dirichlet problem; finite element method; L/sup 2/ estimates; second order elliptic problems; singular data", treatment = "T Theoretical or Mathematical", } @Article{Skeel:1986:TWE, author = "Robert D. Skeel", title = "Thirteen ways to estimate global error", journal = j-NUM-MATH, volume = "48", number = "1", pages = "1--20", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "87b:65095", MRreviewer = "Siegfried Filippi", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Illinois Univ., Urbana, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accumulated discretization error; differential equations; error analysis; global error estimation; numerical solution", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Trojan:1986:OTS, author = "G. M. Trojan", title = "Optimal transformations for scalar sequences", journal = j-NUM-MATH, volume = "48", number = "1", pages = "21--32", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B05", MRnumber = "87a:65029", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Phys., Univ. of Western Ontario, London, Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "extrapolation; Germain-Bonne version; linearly convergent sequences; optimal transformations; Richardson extrapolation; scalar sequences; upper bound", treatment = "T Theoretical or Mathematical", } @Article{Jeltsch:1986:ASM, author = "Rolf Jeltsch and Olavi Nevanlinna", title = "Accuracy and stability of multistage multistep formulas", journal = j-NUM-MATH, volume = "48", number = "1", pages = "33--83", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (65L20)", MRnumber = "87m:65103", MRreviewer = "J. M. Sanz-Serna", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1320 (Stability in control theory)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Math., RWTH, Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "multistage multistep formulas; stability; time discretizations", treatment = "T Theoretical or Mathematical", } @Article{Kirchgraber:1986:MME, author = "Urs Kirchgraber", title = "Multi-step methods are essentially one-step methods", journal = j-NUM-MATH, volume = "48", number = "1", pages = "85--90", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "87d:65073", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Swiss Federal Inst. of Technol., Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; dynamical systems theory; invariant manifold theory; maps; multistep methods; one-step method", treatment = "T Theoretical or Mathematical", } @Article{Yamamoto:1986:EBN, author = "Tetsuro Yamamoto", title = "Error bounds for {Newton}'s iterates derived from the {Kantorovich} theorem", journal = j-NUM-MATH, volume = "48", number = "1", pages = "91--98", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (58C15)", MRnumber = "87b:65081", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Ehime Univ., Matsuyama, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error bounds; Kantorovich theorem; lower bounds; Newton's iterates; nonlinear differential equations; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Prossdorf:1986:SGM, author = "S. Pr{\"o}ssdorf and A. Rathsfeld", title = "On spline {Galerkin} methods for singular integral equations with piecewise continuous coefficients", journal = j-NUM-MATH, volume = "48", number = "1", pages = "99--118", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45L10)", MRnumber = "87i:65212", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Math., Akad. der Wissenschafter, Berlin, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary meshes; equidistant partitions; error estimates; integral equations; Ljapunov curves; piecewise continuous coefficients; polynomial splines; polynomials; scalar equations; singular integral equations; spline Galerkin methods; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Haussler:1986:KTC, author = "W. M. H{\"a}ussler", title = "A {Kantorovich}-type convergence analysis for the {Gauss--Newton} method", journal = j-NUM-MATH, volume = "48", number = "1", pages = "119--125", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "87d:65061", MRreviewer = "Annie A. M. Cuyt", bibdate = "Sat Oct 24 12:49:38 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Bayerische Hypotheken- und Wechselbank AG, M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Gauss--Newton-method; Kantorovich-type convergence analysis; least squares approximations; nonlinear equations; nonlinear regression problem", treatment = "T Theoretical or Mathematical", } @Article{Bakke:1986:SAP, author = "V. L. Bakke and Z. Jackiewicz", title = "Stability analysis of product $\theta$-methods for {Abel} integral equations of the second kind", journal = j-NUM-MATH, volume = "48", number = "2", pages = "127--136", month = feb, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "87f:65149", MRreviewer = "P. M. Anselone", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Arkansas Univ., Fayetteville, AR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Abel integral equations; convergence of numerical methods; integral equations; numerical approximations; product $\theta$-methods; second kind; stability analysis", treatment = "T Theoretical or Mathematical", } @Article{Raugel:1986:FDA, author = "G. Raugel", title = "Finite-dimensional approximation of bifurcation problems in presence of symmetries", journal = j-NUM-MATH, volume = "48", number = "2", pages = "137--198", month = feb, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (58E07 65H05)", MRnumber = "87h:65200", MRreviewer = "Klaus Ulrich", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Lab. d'Anal. Num{\'e}rique, Rennes Univ., Rennes-Beaulieu, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bifurcation problems; discrete problem; error analysis; exact solutions; finite dimensional approximation; function approximation; multiplicity two; nonlinear equations; sharp error estimates; symmetries", treatment = "T Theoretical or Mathematical", } @Article{Gabutti:1986:SGE, author = "Bruno Gabutti and J. N. Lyness", title = "Some generalizations of the {Euler-Knopp} transformation", journal = j-NUM-MATH, volume = "48", number = "2", pages = "199--220", month = feb, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B10", MRnumber = "87f:65004", MRreviewer = "D. Levin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); B0290Z (Other numerical methods)C1130 (Integral transforms); C4190 (Other numerical methods)", corpsource = "Istituto di Calcoli Numerici, Torino Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "generalised Euler-Knopp transformation; series (mathematics); series summation; slowly converging series; transforms", treatment = "T Theoretical or Mathematical", } @Article{Strack:1986:SAI, author = "Klaus-G{\"u}nther G. Strack", title = "Stability and accuracy for implicit semidiscretizations of hyperbolic problems", journal = j-NUM-MATH, volume = "48", number = "2", pages = "221--237", month = feb, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M10", MRnumber = "87h:65157", MRreviewer = "J. M. Sanz-Serna", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Mat., RWTH Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accuracy; convergence of numerical methods; difference equations; error analysis; error bounds; error constants; first order hyperbolic equations; implicit semidiscretizations; interpolation; interpolatory methods; one space dimension; optimal order; order star technique; partial differential equations; stability; stable implicit finite difference methods", treatment = "T Theoretical or Mathematical", } @Article{Cosnard:1986:PDR, author = "M. Cosnard and J.-M. Muller and Y. Robert", title = "Parallel {$QR$} decomposition of a rectangular matrix", journal = j-NUM-MATH, volume = "48", number = "2", pages = "239--249", month = feb, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (65W05)", MRnumber = "87g:65040", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "CNRS, Inst. Imag, Saint Martin d'Heres, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithmic complexity; computational complexity; dense rectangular matrix; greedy algorithm; matrix algebra; nla, qrd, prll; optimal algorithm; parallel processing; parallel QR decomposition", treatment = "T Theoretical or Mathematical", } @Article{Louis:1986:IDP, author = "Alfred K. Louis", title = "Incomplete data problems in {X}-ray computerized tomography {I}. Singular value decomposition of the limited angle transform", journal = j-NUM-MATH, volume = "48", number = "3", pages = "251--262", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "92A07 (44A15 65R20)", MRnumber = "87f:92005", MRreviewer = "Frank Natterer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0650D (Data gathering, processing, and recording, data displays including digital techniques); A0785 (X-ray, gamma-ray instruments and techniques); A8170C (Nondestructive testing); A8760J (X-rays and particle beams (medical uses))", corpsource = "Fachbereich Math., Kaiserslautern Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computerised tomography; decomposition; fast algorithms; intrinsic problems; inverse Radon transform; irrecoverable functions; limited angle transform; nondestructive testing; singular value decomposition; Singular value decomposition; stable inversion; X-ray computerized tomography; X-ray scans", treatment = "T Theoretical or Mathematical", } @Article{Eggermont:1986:IAC, author = "P. P. B. Eggermont", title = "Improving the accuracy of collocation solutions of {Volterra} integral equations of the first kind by local interpolation", journal = j-NUM-MATH, volume = "48", number = "3", pages = "263--279", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45L10)", MRnumber = "87f:65150", MRreviewer = "H. Brunner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1310 (Control system analysis and synthesis methods); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Delaware Univ., Newark, DE, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accuracy; asymptotic expansion; collocation solutions; integral equations; interpolating polynomials; interpolation; local interpolation; numerical differentiation; piecewise polynomials; piecewise-linear techniques; polynomials; superconvergence; Volterra integral equations", treatment = "T Theoretical or Mathematical", } @Article{Destuynder:1986:AND, author = "P. Destuynder and J.-C. N{\'e}d{\'e}lec", title = "Approximation num{\'e}rique du cisaillement transverse dans les plaques minces en flexion. ({French}) [{Numerical} approximation of transverse shear stress in bent plates]", journal = j-NUM-MATH, volume = "48", number = "3", pages = "281--302", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73K25 (65N30)", MRnumber = "87f:73041", MRreviewer = "N. Gass", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Lab. de M{\'e}canique des Sols et Structures, {\'E}cole Centrale des Arts et Manuf., Chatenay-Malabry, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; bending strength; bent plates; numerical methods; numerical schemes; shear strength; stress analysis; transverse shearing stress; variational formulations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Kraaijevanger:1986:AMP, author = "J. F. B. M. Kraaijevanger", title = "Absolute monotonicity of polynomials occurring in the numerical solution of initial value problems", journal = j-NUM-MATH, volume = "48", number = "3", pages = "303--322", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (41A10)", MRnumber = "87c:65084", MRreviewer = "Randall J. LeVeque", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. of Appl. Math. and Comput. Sci., Leiden Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "absolute monotonicity; approximation theory; contractivity requirements; exponential function; initial value problems; numerical procedures; polynomial approximations; polynomials; positivity requirements", treatment = "T Theoretical or Mathematical", } @Article{Werner:1986:LDS, author = "Helmut Werner and H. Hilgers", title = "{L{\"o}sung von Differentialgleichungen mit Splinefunktionen. Eine St{\"o}rungstheorie. {I}. Divergenzaussagen}. ({German}) [{Solution} of differential equations by splines. {A} perturbation theory. {I}. Statements about divergence]", journal = j-NUM-MATH, volume = "48", number = "3", pages = "323--336", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (65L07)", MRnumber = "87f:65085", MRreviewer = "Peter Alfeld", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equation; differential equations; divergence; equidistant grids; initial value problem; Multhei; perturbation theory; polynomial interpolation; polynomial spline; polynomial splines; Runge; smoothness conditions; splines; splines (mathematics)", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Saad:1986:CNS, author = "Youcef Saad", key = "Saad86", title = "On the condition number of some {Gram} matrices arising from least squares approximation in the complex plane", journal = j-NUM-MATH, volume = "48", number = "3", pages = "337--347", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30 (30E10 41A10)", MRnumber = "88a:65053", MRreviewer = "Frederick N. Fritsch", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Res. Center for Sci. Comput., Yale Univ., New Haven, CT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex plane; condition number; ellipses; Gram matrices; least squares approximation; least squares approximations", treatment = "T Theoretical or Mathematical", } @Article{Krishnakumar:1986:EST, author = "A. S. Krishnakumar and Martin Morf", title = "Eigenvalues of a Symmetric Tridiagonal Matrix: a Divide-and-Conquer Approach", journal = j-NUM-MATH, volume = "48", number = "3", pages = "349--368", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (65W05)", MRnumber = "87i:65053", MRreviewer = "Paul S. Jensen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "C1100 (Mathematical techniques); C4140 (Linear algebra)", corpsource = "Inf. Syst. Lab., Stanford Univ., CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "auxiliary polynomials; characteristic polynomial; divide-and-conquer approach; eigenvalues; eigenvalues and eigenfunctions; matrix algebra; nla; prll; symmetric matrix; symmetric tridiagonal eigenproblem; symmetric tridiagonal matrix; tree structure; tridiagonal matrix; update equations", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1986:SOP, author = "Walter Gautschi", title = "On the sensitivity of orthogonal polynomials to perturbations in the moments", journal = j-NUM-MATH, volume = "48", number = "4", pages = "369--382", month = apr, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "33A65 (65D20)", MRnumber = "87i:33028", MRreviewer = "G. Meinardus", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C1140Z (Other topics in statistics); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev weight distributions; Jacobi weight distributions; modified moments; nonlinear equations; nonlinear maps; orthogonal polynomials; perturbation techniques; perturbations; polynomials; positive weight distribution; recursion coefficients; sensitivity; sensitivity analysis; statistics", treatment = "T Theoretical or Mathematical", } @Article{Hairer:1986:SRK, author = "E. Hairer", title = "${A}$- and ${B}$-stability for {Runge--Kutta} methods---characterizations and equivalence", journal = j-NUM-MATH, volume = "48", number = "4", pages = "383--389", month = apr, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20", MRnumber = "88b:65093", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Sect. de Math., Geneva Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A-stability; B-stability; characterizations; convergence of numerical methods; equivalence; exact Runge--Kutta method; Runge--Kutta methods; W-transformation", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1986:CIE, author = "G. Alefeld", title = "Componentwise inclusion and exclusion sets for solutions of quadratic equations in finite-dimensional spaces", journal = j-NUM-MATH, volume = "48", number = "4", pages = "391--416", month = apr, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (65G10)", MRnumber = "87i:65082", MRreviewer = "M. A. Wolfe", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290Z (Other numerical methods); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Inst. f{\"u}r Angewandte Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic eigenvalue problem; Brouwer's fixed point theorem; componentwise error bounds; componentwise exclusion sets; componentwise inclusion sets; eigenvalues and eigenfunctions; equations; error analysis; finite dimensional spaces; interval arithmetic; interval vector; iteration method; iterative methods; mapping; quadratic equations", treatment = "T Theoretical or Mathematical", } @Article{Brezzi:1986:HGA, author = "F. Brezzi and M. Cornalba and A. {Di Carlo}", title = "How to get around a simple quadratic fold", journal = j-NUM-MATH, volume = "48", number = "4", pages = "417--427", month = apr, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (58C27 58F14)", MRnumber = "87i:65083", MRreviewer = "Eugene Allgower", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dipartimento di Matematica, Pavia Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "branches; nonlinear equations; simple quadratic folds", treatment = "T Theoretical or Mathematical", } @Article{Werner:1986:MPA, author = "Helmut Werner", title = "Multivariate {Pad{\'e}} approximation", journal = j-NUM-MATH, volume = "48", number = "4", pages = "429--440", month = apr, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A21 (41-02 41A63)", MRnumber = "87j:41051", MRreviewer = "Dennis D. Pence", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Angewandte Math., Bonn Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; denominators; homogeneous polynomials; matrix algebra; matrix determinants; multivariate Pad{\'e} approximation; numerator; simulated zeros", treatment = "T Theoretical or Mathematical", } @Article{Spath:1986:OLS, author = "H. Sp{\"a}th", title = "Orthogonal least squares fitting with linear manifolds", journal = j-NUM-MATH, volume = "48", number = "4", pages = "441--445", month = apr, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D10", MRnumber = "87f:65020", MRreviewer = "John H. McCabe", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Fachbereich Math., Oldenburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "curve fitting; least squares approximations; linear manifolds; matrix algebra; orthogonal least squares fitting", treatment = "T Theoretical or Mathematical", } @Article{Stenberg:1986:COM, author = "Rolf Stenberg", title = "On the construction of optimal mixed finite element methods for the linear elasticity problem", journal = j-NUM-MATH, volume = "48", number = "4", pages = "447--462", month = apr, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73K25 (65N30)", MRnumber = "87i:73062", MRreviewer = "C. Dierieck", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity); A4630C (Elasticity)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; displacement; elasticity; finite element analysis; linear elasticity problem; optimal convergence rates; optimal mixed finite element methods; stress tensor", treatment = "T Theoretical or Mathematical", } @Article{Nurnberger:1986:ASA, author = "G. N{\"u}rnberger and M. Sommer and H. Strau{\ss}", title = "An algorithm for segment approximation", journal = j-NUM-MATH, volume = "48", number = "4", pages = "463--477", month = apr, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15", MRnumber = "87g:65023", MRreviewer = "John H. McCabe", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Erlangen-N{\"u}rnberg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; convergence; convergence of numerical methods; function approximation; minimal deviation; optimal knot sets; piecewise polynomial approximation; polynomials; segment approximation", treatment = "T Theoretical or Mathematical", } @Article{Axelsson:1986:EDC, author = "Owe Axelsson and Gunhild Lindskog", title = "On the eigenvalue distribution of a class of preconditioning methods", journal = j-NUM-MATH, volume = "48", number = "5", pages = "479--498", month = may, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "88a:65037a", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Nijmegen Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "blockwise factorizations; eigenvalue distribution; eigenvalues; eigenvalues and eigenfunctions; graphic representations; incomplete factorization; large linear systems; partial differential equations; pointwise factorizations; preconditioning methods; relaxation parameter; symmetric positive definite matrix", treatment = "T Theoretical or Mathematical", } @Article{Axelsson:1986:RCP, author = "Owe Axelsson and Gunhild Lindskog", title = "On the rate of convergence of the preconditioned conjugate gradient method", journal = j-NUM-MATH, volume = "48", number = "5", pages = "499--523", month = may, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (49D07 65J10)", MRnumber = "88a:65037b", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Lund Univ., Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; elliptic difference equations; incomplete factorization method; isolated eigenvalues; iterations; iterative methods; model empirical distribution function; partial differential equations; preconditioned conjugate gradient method; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{Freund:1986:CCA, author = "Roland Freund and Stephan Ruscheweyh", title = "On a class of {Chebyshev} approximation problems which arise in connection with a conjugate gradient type method", journal = j-NUM-MATH, volume = "48", number = "5", pages = "525--542", month = may, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A50 (65F10)", MRnumber = "87f:41048", MRreviewer = "K. Jetter", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Wurzburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; conjugate gradient type method; error bounds; linear systems; minimum residual algorithm", treatment = "T Theoretical or Mathematical", } @Article{vanderSluis:1986:RCC, author = "A. van der Sluis and H. A. van der Vorst", title = "The Rate of Convergence of Conjugate Gradients", journal = j-NUM-MATH, volume = "48", number = "5", pages = "543--560", month = may, year = "1986", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01389450", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (49D07)", MRnumber = "MR839616 (87h:65061)", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Utrecht Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradients; differential equations; eigenvalues; eigenvalues and eigenfunctions; extreme Ritz values; nla; rate of convergence", treatment = "T Theoretical or Mathematical", } @Article{ElDabaghi:1986:SVT, author = "Fadi {El Dabaghi} and Olivier Pironneau", title = "Stream vectors in three-dimensional aerodynamics", journal = j-NUM-MATH, volume = "48", number = "5", pages = "561--589", month = may, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76-08)", MRnumber = "87h:65193", MRreviewer = "Max D. Gunzburger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4740 (Compressible flows; shock and detonation phenomena)", corpsource = "INRIA, Domaine de Voluceau, Le Chesnay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "aerodynamics; decomposition; finite element implementation; inviscid flows; nonhomogeneous boundary conditions; steam vectors; three dimensional aerodynamics", treatment = "T Theoretical or Mathematical", } @Article{Griewank:1986:AGT, author = "A. Griewank and G. W. Reddien", title = "The approximation of generalized turning points by projection methods with superconvergence to the critical parameter", journal = j-NUM-MATH, volume = "48", number = "5", pages = "591--606", month = may, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (58E07)", MRnumber = "87g:65072", MRreviewer = "W. S. Loud", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/nld.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Southern Methodist Univ., Dallas, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; Banach spaces; boundary-value problems; characterizations; critical parameter; differential equations; Gauss points; generalized turning points; mildly nonlinear mappings; projection methods; singular manifolds; superconvergence; two-point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Hegland:1986:NCL, author = "M. Hegland and J. T. Marti", title = "Numerical computation of least constants for the {Sobolev} inequality", journal = j-NUM-MATH, volume = "48", number = "6", pages = "607--616", month = jun, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (46E35)", MRnumber = "87k:65136", MRreviewer = "Viorel Arnautu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "ETH Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "kernel technique; least constants; numerical computation; numerical methods; Sobolev inequality", treatment = "T Theoretical or Mathematical", } @Article{Volk:1986:GSL, author = "Wolfgang Volk", title = "{Globale Superkonvergenz bei der L{\"o}sung von linearen Randwertaufgaben}. ({German}) [{Global} superconvergence in the solution of linear boundary value problems]", journal = j-NUM-MATH, volume = "48", number = "6", pages = "617--625", month = jun, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "87i:65123", MRreviewer = "Martin Hermann", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence rates; differential equations; global superconvergence; integral equations; linear boundary value problems; numerical solution; ordinary differential equations", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Culpin:1986:CCS, author = "David Culpin", title = "Calculation of cubic smoothing splines for equally spaced data", journal = j-NUM-MATH, volume = "48", number = "6", pages = "627--638", month = jun, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07 (65D10)", MRnumber = "87h:65023", MRreviewer = "Frederick N. Fritsch", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Div. of Math. and Stat., CSIRO, Lindfield, NSW, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "canonical decomposition; cross validation; cubic smoothing splines; data storage; equally spaced data; linear transformation; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Papamichael:1986:SCP, author = "N. Papamichael and M. K. Warby", title = "Stability and convergence properties of {Bergman} kernel methods for numerical conformal mapping", journal = j-NUM-MATH, volume = "48", number = "6", pages = "639--669", month = jun, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30 (65E05)", MRnumber = "87g:30007", MRreviewer = "D. Gaier", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "Brunel Univ., Uxbridge, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "basis set; Bergman kernel methods; Carleman; conformal map; convergence of numerical methods; convergence properties; convergence results; doubly-connected domains; numerical conformal mapping; simple domains; singular behaviour; stability; theoretical justification", treatment = "T Theoretical or Mathematical", } @Article{Davies:1986:IES, author = "A. R. Davies and R. S. Anderssen", title = "Improved estimates of statistical regularization parameters in {Fourier} differentiation and smoothing", journal = j-NUM-MATH, volume = "48", number = "6", pages = "671--697", month = jun, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D25 (65D10)", MRnumber = "87i:65027", MRreviewer = "A. G. {\v{Z}}ilinskas", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Mathematical analysis); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math., Univ. Coll. of Wales, Aberystwyth, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cross-validation; CV; differential equations; estimation theory; Fourier analysis; Fourier differentiation; innovation variance; maximum-likelihood; mean-square derivative error; ML; N-dimensional Hilbert spaces; nonexact data; numerical differentiation; optimal regularization parameters; predictive mean-square signal error; regularity conditions; smoothing; statistical regularization; stochastic functions; stochastic processes", treatment = "T Theoretical or Mathematical", } @Article{Gutknecht:1986:SIM, author = "M. H. Gutknecht and W. Niethammer and R. S. Varga", title = "$k$-step iterative methods for solving nonlinear systems of equations", journal = j-NUM-MATH, volume = "48", number = "6", pages = "699--712", month = jun, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (65F10 90C30)", MRnumber = "87j:65058", MRreviewer = "Eugene Allgower", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Seminar f{\"u}r Angewandte Math., ETH Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cyclic mappings; iterative methods; k-step iterative methods; nonlinear systems", treatment = "P Practical", } @Article{Hu:1986:CSS, author = "Chiu Li Hu and Larry L. Schumaker", title = "Complete spline smoothing", journal = j-NUM-MATH, volume = "49", number = "1", pages = "1--10", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D10 (65D07)", MRnumber = "87i:65024", MRreviewer = "R. Franke", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complete spline smoothing methods; splines (mathematics); stable numerical algorithms", treatment = "T Theoretical or Mathematical", } @Article{Blum:1986:AEE, author = "H. Blum and Q. Lin and R. Rannacher", title = "Asymptotic error expansion and {Richardson} extrapolation for linear finite elements", journal = j-NUM-MATH, volume = "49", number = "1", pages = "11--37", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65B05)", MRnumber = "87m:65172", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Angewandte Math. und Inform., Saarlandes Univ., Saarbrucken, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error expansion; elliptic Ritz projection; extrapolation; finite element analysis; linear finite elements; Richardson extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Leyk:1986:CLM, author = "Zbigniew Leyk", title = "A ${C}^0$-collocation-like method for two-point boundary value problems", journal = j-NUM-MATH, volume = "49", number = "1", pages = "39--53", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "88d:65117", MRreviewer = "L. Greenberg", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. of Inf., Warsaw Univ., Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; C/sup 0/-collocation-like method; difference equations; differential operator; finite element method; piecewise polynomial spaces; piecewise-linear techniques; polynomials; superconvergence; two-point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Reimer:1986:EAR, author = "Manfred Reimer and D. Siepmann", title = "An elementary algebraic representation of polynomial spline interpolants for equidistant lattices and its condition", journal = j-NUM-MATH, volume = "49", number = "1", pages = "55--65", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07 (65D05)", MRnumber = "87m:65032", MRreviewer = "K. Kilberth", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dortmund Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "customary representation formula; elementary algebraic representation; elementary identity; equidistant lattices; generalized Euler-Frobenius-polynomials; interpolation; polynomial spline interpolants; polynomials; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Dixon:1986:CAD, author = "Jennifer Dixon and Sean McKee and Rolf Jeltsch", title = "Convergence analysis of discretization methods for nonlinear first kind {Volterra} integral equations", journal = j-NUM-MATH, volume = "49", number = "1", pages = "67--80", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45L10)", MRnumber = "87j:65166", MRreviewer = "John M. Bownds", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Comput. Lab., Oxford Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence analysis; discretization methods; general convergence analysis; integral equations; nonlinear equations; nonlinear first kind Volterra integral equations; optimal consistency; two-sided error bounds; uniqueness result", treatment = "T Theoretical or Mathematical", } @Article{Bojanczyk:1986:FTM, author = "A. W. Boj{\'a}nczyk and R. P. Brent and F. R. de Hoog", title = "{$QR$} factorization of {Toeplitz} matrices", journal = j-NUM-MATH, volume = "49", number = "1", pages = "81--94", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30", MRnumber = "87k:65050", MRreviewer = "A. Bultheel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in {\AA ke Bj\"orck}'s bibliography on least squares, which is available by anonymous ftp from {\tt math.liu.se} in {\tt pub/references}.", classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Comput. Sci. Lab., Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "least squares approximations; matrix algebra; nla; Q R factorization; qrd; rank-1 modification; Toeplitz matrices; Toeplitz matrix", treatment = "T Theoretical or Mathematical", } @Article{Grossmann:1986:GED, author = "C. Gro{\ss}mann and M. Kr{\"a}tzschmar and H.-G. Roos", title = "{Gleichm{\"a}{\ss}ig einschlie{\ss}ende Diskretisierungsverfahren f{\"u}r schwach nichtlineare Randwertaufgaben}. ({German}) [{Uniformly} enclosing discretization methods for weakly nonlinear boundary value problems]", journal = j-NUM-MATH, volume = "49", number = "1", pages = "95--110", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "88a:65082", MRreviewer = "L. Greenberg", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Sektion Math., Tech. Univ. Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; exact solution; weakly nonlinear boundary value problems", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1986:SAS, author = "Walter Gautschi and Gradimir V. Milovanovi{\'c}", title = "Spline approximations to spherically symmetric distributions", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "111--121", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87j:41033", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; moment functional; n-point Gauss--Christoffel quadrature formula; pointwise convergence; spherically symmetric distributions; spline approximations; spline function; splines (mathematics); statistical mechanics", treatment = "T Theoretical or Mathematical", } @Article{Vrahatis:1986:RGM, author = "M. N. Vrahatis and K. I. Iordanidis", title = "A rapid generalized method of bisection for solving systems of non-linear equations", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "123--138", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "88c:65051", MRreviewer = "R. B. Kearfott", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Patras Univ., Greece", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "generalized method of bisection; nonlinear equations; nonzero value; rapid generalized method; topological degree", treatment = "T Theoretical or Mathematical", } @Article{Frank:1986:CPDa, author = "R. Frank and J. Hertling and H. Lehner", title = "{$B$}-convergence properties of defect correction methods. {I}", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "139--162", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte und Numerische Math., Tech. Univ. Wien, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "B-convergence properties; defect correction methods; differential equations; global error bounds; implicit Euler; Lipschitz constant; midpoint schemes; nonlinear stiff problems; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Frank:1986:CPDb, author = "R. Frank and J. Hertling and H. Lehner", title = "{$B$}-convergence properties of defect correction methods. {II}", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "163--188", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87i:65105", MRreviewer = "Kevin Burrage", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte und Numerische Math., Tech. Univ. Wien, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "B-convergence properties; defect correction methods; differential equations; global error bounds; implicit Euler; Lipschitz constant; midpoint schemes; nonlinear stiff problems; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1986:SMF, author = "Jim {Douglas, Jr.} and Chaitan P. Gupta", title = "Superconvergence for a mixed finite element method for elastic wave propagation in a plane domain", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "189--202", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "88c:65095", MRreviewer = "H. K. Verma", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340K (Waves and wave propagation: general mathematical aspects); A4630M (Vibrations, aeroelasticity, hydroelasticity, mechanical waves, and shocks); B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Chicago Univ., IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference quotients; elastic wave propagation; elastic waves; error estimates; finite element analysis; Galerkin methods; mixed finite element method; nonpositive index; partial differential equations; plane domain; quasi-projection analysis; Sobolev spaces; spatially periodic problem; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Yamamoto:1986:MFS, author = "Tetsuro Yamamoto", title = "A method for finding sharp error bounds for {Newton}'s method under the {Kantorovich} assumptions", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "203--220", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87i:65096", MRreviewer = "G. J. Miel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Fac. of Sci., Ehime Univ., Matsuyama, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach spaces; Euclidean spaces; Kantorovich assumptions; Newton's method; nonlinear equations; sharp error bounds", treatment = "T Theoretical or Mathematical", } @Article{Beauzamy:1986:JIP, author = "Bernard Beauzamy", title = "{Jensen}'s inequality for polynomials with concentration at low degrees", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "221--225", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87h:26022", MRreviewer = "R. Gervais", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Math., Univ. Claude Bernard-Lyon 1, Villeurbanne, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "concentration; Jensen inequality; low degrees; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Huy:1986:FDA, author = "C. U. Huy and P. J. McKenna and W. Walter", title = "Finite difference approximations to the {Dirichlet} problem for elliptic systems", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "227--237", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87i:65155", MRreviewer = "A. O. Garder", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Inst. I, Karlsruhe, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergent iterative schemes; difference equations; Dirichlet problem; elliptic systems; iterative methods; lower solutions; numerical uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Hoppe:1986:MMH, author = "Ronald H. W. Hoppe", title = "Multi-grid methods for {Hamilton--Jacobi--Bellman} equations", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "239--254", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87i:65174", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Math. Tech. Univ. Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence result; Euclidean space; Hamilton--Jacobi--Bellman equations; iterative methods; multigrid methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Scholz:1986:NSO, author = "Reinhard Scholz", title = "Numerical solution of the obstacle problem by the penalty method. {II}. Time-dependent problems", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "255--268", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87m:65192", MRreviewer = "William W. Hager", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Albert-Ludwigs-Univ., Freiburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; approximations; elliptic variational inequalities; numerical analysis; numerical solution; obstacle problem; parabolic problems; penalty method; quasi-optimal error estimates", treatment = "T Theoretical or Mathematical", } @Article{Cools:1986:OAK, author = "Ronald Cools and Ann Haegemans", title = "Optimal addition of knots to cubature formulae for planar regions", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "269--274", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87h:65041", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Comput. Sci., Leuven Univ., Heverlee, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "circle; cubature formulae; entire plane; hexagon; integral; integral equations; knots; optimal addition; planar regions; square; symmetric region", treatment = "T Theoretical or Mathematical", } @Article{terMaten:1986:CAH, author = "E. Jan W. ter Maten and Gerard L. G. Sleijpen", title = "A convergence analysis of hopscotch methods for fourth order parabolic equations", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "275--290", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87h:65156", MRreviewer = "Ian Gladwell", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Utrecht Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence analysis; discretization; error propagation; finite difference methods; fourth order parabolic equations; hopscotch methods; matrix-vector recursion; ordinary differential equation; partial differential equation; partial differential equations; spatial coordinates; stability", treatment = "T Theoretical or Mathematical", } @Article{Benbourhim:1986:SAH, author = "Mohammed-Najib Benbourhim", title = "Spline approximant in {Hilbertian} subspaces of ${\cal C}({\Omega})$", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "291--303", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "88d:65020", MRreviewer = "Viorel Arnautu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lab. d'Analyse Num{\'e}rique, Univ. of Paul Sabqtier, Toulouse, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; Hilbertian subspace; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Zennaro:1986:SPR, author = "Marino Zennaro", title = "{$P$}-stability properties of {Runge--Kutta} methods for delay differential equations", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "305--318", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87m:65109", MRreviewer = "V. L. Bakke", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dip. di Sci. Matematiche, Trieste Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic stability properties; delay differential equations; differential equations; one-step collocation method; P-stability properties; Runge--Kutta methods; stability", treatment = "T Theoretical or Mathematical", } @Article{Sanz-Serna:1986:RSE, author = "J. M. Sanz-Serna and M. N. Spijker", title = "Regions of stability, equivalence theorems and the {Courant-Friedrichs-Lewy} condition", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "319--329", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87i:65140", MRreviewer = "Dennis C. Jespersen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. de Ecuaciones Funcionales, Fac. de Ciencias, Valladolid Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Courant-Friedrichs-Lewy condition; equivalence theorems; hyperbolic partial differential equations; m-stage linear methods; numerical integration; partial differential equations; stability", treatment = "T Theoretical or Mathematical", } @Article{Meinguet:1986:DKW, author = "Jean Meinguet", title = "On the {Davis-Kahan-Weinberger} solution of the norm-preserving dilation problem", journal = j-NUM-MATH, volume = "49", number = "2/3", pages = "331--341", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "87i:47008", MRreviewer = "T. Ando", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Inst. de Math. pure et Appl., Louvain Univ., Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Davis-Kahan-Weinberger solution; finite-dimensional dilations; Hilbert spaces; matrix algebra; matrix theory; norm-preserving dilation problem", treatment = "T Theoretical or Mathematical", } @Article{Barrett:1986:FEA, author = "John W. Barrett and Charles M. Elliott", title = "Finite element approximation of the {Dirichlet} problem using the boundary penalty method", journal = j-NUM-MATH, volume = "49", number = "4", pages = "343--366", month = jul, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "87k:65130", MRreviewer = "I. Christie", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; Babu{\v{s}}ka; boundary penalty method; convergence; convex polyhedral; Dirichlet problem; domain perturbation; error bounds; finite element analysis; finite element approximation; numerical integration; piecewise linear approximation", treatment = "T Theoretical or Mathematical", } @Article{Iusem:1986:CRA, author = "Alfredo N. Iusem and Alvaro Rodolfo {De Pierro}", title = "Convergence results for an accelerated nonlinear {Cimmino} algorithm", journal = j-NUM-MATH, volume = "49", number = "4", pages = "367--378", month = jul, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65K10 90C25)", MRnumber = "88f:65049", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "Inst. de Matematica Pura e Aplicada, Rio de Janeiro, Brazil", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accelerated nonlinear Cimmino algorithm; convergence of numerical methods; convergence results; convex feasibility problem; finite dimension; least squares solution; linear inequalities", treatment = "T Theoretical or Mathematical", } @Article{Yserentant:1986:MLS, author = "Harry Yserentant", title = "On the Multi-Level Splitting of Finite Element Spaces", journal = j-NUM-MATH, volume = "49", number = "4", pages = "379--412", month = jul, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N20 65N30)", MRnumber = "88d:65068a", MRreviewer = "Robert Beauwens", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Yserentant:1986:EMS}.", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis)", corpsource = "Dortmund Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "condition number; finite element analysis; finite element methods; finite element spaces; hierarchical bases; nodal basis; positive definite plane elliptic boundary value problems; stiffness matrices", treatment = "T Theoretical or Mathematical", } @Article{vandeGriend:1986:AMR, author = "J. A. van de Griend and J. F. B. M. Kraaijevanger", title = "Absolute monotonicity of rational functions occurring in the numerical solution of initial value problems", journal = j-NUM-MATH, volume = "49", number = "4", pages = "413--424", month = jul, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (65L20 65M10)", MRnumber = "87m:65102", MRreviewer = "Pietro Marzulli", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. of Appl. Math. and Comput. Sci., Leiden Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "absolute monotonicity; computation; contractivity requirements; initial value problems; numerical procedures; numerical solution; Pad{\'e} approximations; rational functions", treatment = "T Theoretical or Mathematical", } @Article{Bar-Yoseph:1986:AFE, author = "Pinchas Bar-Yoseph and Moshe Israeli", title = "An asymptotic finite element method for improvement of solutions of boundary layer problems", journal = j-NUM-MATH, volume = "49", number = "4", pages = "425--438", month = jul, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65L10)", MRnumber = "87h:65190", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Fac. of Mech. Eng., Technion-Israel Inst. of Technol., Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; asymptotic finite element method; boundary layer problems; boundary-value problems; error bounds; finite element analysis; finite element methods; Galerkin finite element scheme; perturbation theory", treatment = "T Theoretical or Mathematical", } @Article{Gout:1986:FQN, author = "J. L. Gout and A. Guessab", title = "Sur les formules de quadrature num{\'e}rique {\`a} nombre minimal de n{\oe}uds d'int{\'e}gration. ({French}) [{Cubature} formulas with a minimal number of knots]", journal = j-NUM-MATH, volume = "49", number = "4", pages = "439--455", month = jul, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "87m:65042", MRreviewer = "M. Marsden", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. de Math., PAU Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cubature formulas; minimal number; orthogonal polynomial theory; polynomial spaces; polynomials", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Beauwens:1986:EIM, author = "R. Beauwens", title = "Erratum: {{``Factorization iterative methods, $M$-operators and $H$-operators''} [Numer. Math. {\bf 31} 1978/1979, no. 4, 335--357 and MR 81e:65014]}", journal = j-NUM-MATH, volume = "49", number = "4", pages = "457--457", month = jul, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65J05)", MRnumber = "87i:65040", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Beauwens:1979:FIM}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Anonymous:1986:AAH, author = "Anonymous", title = "Announcement: {Alston S. Householder Award VI} (1987)", journal = j-NUM-MATH, volume = "49", number = "4", pages = "459--459", month = jul, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Saridakis:1986:AUS, author = "Yiannis G. Saridakis", title = "On the analysis of the unsymmetric successive overrelaxation method when applied to $p$-cyclic matrices", journal = j-NUM-MATH, volume = "49", number = "5", pages = "461--473", month = sep, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65F15 65F40)", MRnumber = "88f:65053", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math. and Comput. Sci., Clarkson Univ., Potsdam, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p$-cyclic matrices; block Jacobi iteration matrix; consistently ordered weakly cyclic matrices; convergence of numerical methods; convergence regions; determinant invariance; divergence regions; eigenvalues; eigenvalues and eigenfunctions; functional equation; iterative methods; matrix algebra; nonnegative matrices; regular splittings; relaxation theory; unsymmetric successive overrelaxation method", treatment = "T Theoretical or Mathematical", } @Article{Li:1986:NCM, author = "Zi-Cai Li", title = "A nonconforming combined method for solving {Laplace}'s boundary value problems with singularities", journal = j-NUM-MATH, volume = "49", number = "5", pages = "475--497", month = sep, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "88g:65116a", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Li:1987:ENC}.", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Toronto Univ., Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "admissible functions; approximation; average errors; boundary-value problems; coupling strategy; error analysis; finite element analysis; finite element method; function approximation; Laplace boundary-value problems with singularities; nonconforming combined method; partial differential equations; piecewise linear functions; piecewise-linear techniques; Ritz--Galerkin method", treatment = "T Theoretical or Mathematical", } @Article{Joe:1986:BMS, author = "Stephen Joe and Ian H. Sloan", title = "On {Bateman}'s method for second kind integral equations", journal = j-NUM-MATH, volume = "49", number = "5", pages = "499--510", month = sep, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45B05)", MRnumber = "87j:65163", MRreviewer = "Christopher T. H. Baker", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290R (Integral equations); C4120 (Functional analysis); C4180 (Integral equations)", corpsource = "Sch. of Math., New South Wales Univ., Sydney, NSW, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bateman method; bounded domains; convergence; convergence of numerical methods; functional analysis; Hilbert space methods; integral equations; nonnegative definite integral operator; one-dimensional integral equations; second kind integral equations", treatment = "T Theoretical or Mathematical", } @Article{Yu:1986:AND, author = "Guo Ben Yu and A. R. Mitchell", title = "Analysis of a nonlinear difference scheme in reaction-diffusion", journal = j-NUM-MATH, volume = "49", number = "5", pages = "511--527", month = sep, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M05 (35K57 92A15)", MRnumber = "87m:65129", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1290L (Biology and medicine); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Shanghai Univ. of Sci. and Technol., China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accuracy estimates; biology; difference equations; error analysis; nonlinear difference scheme; nonlinear differential equations; nonlinear parabolic difference equations; nonlinear partial differential equation; parabolic reaction diffusion equation; partial differential equations; physiological models; population modelling; space-time discretisation; spruce budworm problem", treatment = "T Theoretical or Mathematical", } @Article{Suzuki:1986:RBR, author = "Takashi Suzuki and Hiroshi Fujita", title = "A remark on the {$L^\infty$} bounds of the {Ritz} operator associated with a finite element approximation", journal = j-NUM-MATH, volume = "49", number = "5", pages = "529--544", month = sep, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "87m:65196", MRreviewer = "Dennis C. Jespersen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Fac. of Sci., Tokyo Univ., Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "discrete elliptic-Sobolev inequality; error analysis; finite element analysis; finite element approximation; L/sup infinity / bounds; partial differential equations; piecewise linear trial functions; piecewise-linear techniques; Ritz operator; second-order elliptic operator; Stampacchia method", treatment = "T Theoretical or Mathematical", } @Article{Ortloff:1986:AVK, author = "H. Ortloff", title = "{Asymptotisches Verhalten und Konvergenzbeschleunigung von Iterationsfolgen}. ({German}) [{Asymptotic} behavior and acceleration of convergence of iteration sequences]", journal = j-NUM-MATH, volume = "49", number = "5", pages = "545--559", month = sep, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B05", MRnumber = "88c:65004", MRreviewer = "I. N. Molchanov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Sektion Math. und Phys., Tech. Hochschule Magdeburg, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic behaviour; contractivity; convergence acceleration; convergence of numerical methods; differentiability; extrapolation; finite-dimensional stationary one-step-methods; fixed point methods; iterative methods; iterative numerical methods; linear difference equation; Skelboe convergence; Wynn epsilon-algorithm", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Guessab:1986:CFW, author = "A. Guessab", title = "Cubature formulae which are exact on spaces ${P}$, intermediate between${P}_k$ and ${Q}_{k'}$", journal = j-NUM-MATH, volume = "49", number = "5", pages = "561--576", month = sep, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "87m:65043", MRreviewer = "T. N. L. Patterson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. de Math., Pau Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integration; numerical culture formulae; orthogonal polynomial theory; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Gui:1986:VFEa, author = "W. Gui and I. Babu{{\v{s}}}ka", title = "The $h$, $p$ and $h-p$ versions of the finite element method for one-dimensional problems. {Part I}: {The} error analysis of the $p$-version", journal = j-NUM-MATH, volume = "49", number = "6", pages = "577--612", month = nov, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "88b:65130a", MRreviewer = "C. Dierieck", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Inst. for Phys. Sci. and Technol., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p$-version; 1 dimension; error analysis; finite element analysis; finite element method; singularity; x/sup alpha /-type", treatment = "T Theoretical or Mathematical", } @Article{Gui:1986:VFEb, author = "W. Gui and I. Babu{{\v{s}}}ka", title = "The $h$, $p$ and $h-p$ versions of the finite element method for one-dimensional problems. {Part II}: {The} error analysis of the $h$ and $p$ versions", journal = j-NUM-MATH, volume = "49", number = "6", pages = "613--657", month = nov, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "88b:65130b", MRreviewer = "C. Dierieck", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Inst. for Phys. Sci. and Technol., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$h$-$p$ version; $h$-version; 1 dimension; error analysis; finite element analysis; finite element method", treatment = "T Theoretical or Mathematical", } @Article{Gui:1986:VFEc, author = "W. Gui and I. Babu{{\v{s}}}ka", title = "The $h$, $p$ and $h-p$ versions of the finite element method for one-dimensional problems. {Part III}: {The} adaptive $h-p$ version", journal = j-NUM-MATH, volume = "49", number = "6", pages = "659--683", month = nov, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "88b:65130c", MRreviewer = "C. Dierieck", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods)", corpsource = "Inst. for Phys. Sci. and Technol., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "1 dimension; adaptive $h$-$p$ version; error analysis; finite element analysis; finite element method", treatment = "T Theoretical or Mathematical", } @Article{Chu:1986:GBF, author = "King-wah Eric Chu", title = "Generalization of the {Bauer--Fike Theorem}", journal = j-NUM-MATH, volume = "49", number = "6", pages = "685--691", month = nov, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (15A18 15A42)", MRnumber = "88a:65054", MRreviewer = "A. Bunse-Gerstner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Reading Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bauer--Fike Theorem; diagonalizable matrices; matrix algebra; nondiagonalizable matrices; spectrum", treatment = "T Theoretical or Mathematical", } @Article{Stynes:1986:FEM, author = "Martin Stynes and Eugene O'Riordan", title = "A finite element method for a singularly perturbed boundary value problem", journal = j-NUM-MATH, volume = "50", number = "1", pages = "1--15", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (65L60)", MRnumber = "88e:65101", MRreviewer = "M. M. Chawla", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. Coll., Cork, Ireland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; discretised Green function; finite element analysis; finite element method; nodal errors; piecewise linear trial functions; piecewise-linear techniques; singularly perturbed boundary value problem; Werle difference scheme", treatment = "T Theoretical or Mathematical", } @Article{Mayer:1986:TSR, author = "G{\"u}nter Mayer", title = "On a theorem of {Stein--Rosenberg} type in interval analysis", journal = j-NUM-MATH, volume = "50", number = "1", pages = "17--26", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65G10", MRnumber = "87m:65080", MRreviewer = "J. A. Grant", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic convergence factor; classical numerical analysis; interval analysis; irreducible upper bound; iteration matrix; iterative methods; iterative process; matrix algebra; nonnegative lower bound; spectral radius; Stein--Rosenberg type theorem", treatment = "T Theoretical or Mathematical", } @Article{Soderlind:1986:BNO, author = "Gustaf S{\"o}derlind", title = "Bounds on nonlinear operators in finite-dimensional {Banach} spaces", journal = j-NUM-MATH, volume = "50", number = "1", pages = "27--44", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H99 (47H99 65L99)", MRnumber = "88e:65067", MRreviewer = "J. Stoer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Numerical Anal. and Comput. Sci., R. Inst. of Technol., Stockholm, Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundedness; finite-dimensional Banach spaces; Gerschgorin domain; Hilbert spaces; invertibility; Jacobian matrices; monotonicity; nonlinear differential equations; nonlinear operators; qualitative properties; von Neumann spectral theory", treatment = "T Theoretical or Mathematical", } @Article{Kosler:1986:PSD, author = "Robert Kosler", title = "{A priori-Schranken f{\"u}r diskrete L{\"o}sungen monotoner Operatorgleichungen und Anwendungen}. ({German}) [{A} priori bounds for discrete solutions of monotone operator equations and applications]", journal = j-NUM-MATH, volume = "50", number = "1", pages = "45--55", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J05 (65N30)", MRnumber = "88a:65069", MRreviewer = "Jochen W. Schmidt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Hannover Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a priori bounds; boundary-value problems; discrete solutions; error estimates; Galerkin method; monotone operator equations; quasilinear elliptic boundary value problems; reflexive Banach space", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Nedelec:1986:NFM, author = "J.-C. N{\'e}d{\'e}lec", title = "A new family of mixed finite elements in ${\bf R}^3$", journal = j-NUM-MATH, volume = "50", number = "1", pages = "57--81", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "88e:65145", MRreviewer = "Reinhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Appl., {\'E}cole Polytechn., Plaiseau, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; finite element analysis; mixed finite elements; Stoke system", treatment = "T Theoretical or Mathematical", } @Article{Hundsdorfer:1986:SCL, author = "W. H. Hundsdorfer", title = "Stability and {$B$}-convergence of linearly implicit {Runge--Kutta} methods", journal = j-NUM-MATH, volume = "50", number = "1", pages = "83--95", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20", MRnumber = "88b:65094", MRreviewer = "Jacques Reverdy", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "B-convergence; differential equations; initial value problems; internal perturbations; linearly implicit Runge--Kutta methods; Runge--Kutta methods; stability; stiff semilinear systems", treatment = "T Theoretical or Mathematical", } @Article{Spijker:1986:MBI, author = "M. N. Spijker", title = "Monotonicity and boundedness in implicit {Runge--Kutta} methods", journal = j-NUM-MATH, volume = "50", number = "1", pages = "97--109", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "88a:65076", MRreviewer = "Jacques Reverdy", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Subfacul. Wiskunde en Inf., Rijksuniv. Leiden, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic stability; boundedness; contractivity; implicit Runge--Kutta methods; initial value problems; monotonicity; necessary conditions; nonlinear differential equations; numerical calculations; Runge--Kutta methods; stability; stiff initial value problems", treatment = "T Theoretical or Mathematical", } @Article{Alefeld:1986:KSV, author = "G{\"o}tz Alefeld and Peter Volkmann", title = "{Zur Konvergenz des {SSOR-Verfahrens} f{\"u}r nichtlineare Gleichungssysteme}. ({German}) [{Convergence} of the {SSOR-method} for nonlinear systems of simultaneous equations]", journal = j-NUM-MATH, volume = "50", number = "1", pages = "111--121", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15", MRnumber = "88i:65078", MRreviewer = "Erich Bohl", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Fakult{\"a}t f{\"u}r Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; nonlinear differential equations; nonlinear elliptic partial differential equations; nonlinear systems; partial differential equations; simultaneous equations; SSOR-method; symmetric successive overrelaxation method", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Yserentant:1986:EMS, author = "Harry Yserentant", title = "Erratum: {``On the multilevel splitting of finite element spaces''}", journal = j-NUM-MATH, volume = "50", number = "1", pages = "123--123", month = jan, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N20 65N30)", MRnumber = "88d:65068b", MRreviewer = "Robert Beauwens", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Yserentant:1986:MLS}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Banerjee:1986:ASF, author = "U. Banerjee and A. Lutoborski", title = "Approximation of the solution of a fourth-order boundary value problem with nonsmooth coefficient", journal = j-NUM-MATH, volume = "50", number = "2", pages = "125--145", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N10 73K05)", MRnumber = "88d:65156", MRreviewer = "Petr Proch{\'a}zka", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Syracuse Univ., NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence of numerical methods; error estimates; finite element analysis; finite element methods; fourth order boundary value problem; L-splines; mixed methods; nonsmooth coefficient; stability", treatment = "T Theoretical or Mathematical", } @Article{Blanchard:1986:NAE, author = "D. Blanchard and P. {Le Tallec}", title = "Numerical analysis of the equations of small strains quasistatic elastoviscoplasticity", journal = j-NUM-MATH, volume = "50", number = "2", pages = "147--169", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65P05 (73F30)", MRnumber = "88d:65175", MRreviewer = "H. K. Verma", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations); C7440 (Civil and mechanical engineering)", corpsource = "Lab. Central des Points et Chauss{\'e}es, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "augmented Lagrangian methods; elastoplasticity; evolution equation; finite element analysis; mixed finite element approximations; numerical analysis; partial differential equations; small strains quasistatic elastoviscoplasticity; stress field", treatment = "T Theoretical or Mathematical", } @Article{Sakai:1986:SRS, author = "Manabu Sakai and M. C. {L{\'o}pez de Silanes}", title = "A simple rational spline and its application to monotonic interpolation to monotonic data", journal = j-NUM-MATH, volume = "50", number = "2", pages = "171--182", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05", MRnumber = "88b:65017", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Kagoshima Univ., Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cubic splines; interpolation; monotonic data; monotonic interpolation; quadratic splines; simple rational spline; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Gekeler:1986:OCR, author = "E. Gekeler and R. Widmann", title = "On the order conditions of {Runge--Kutta} methods with higher derivatives", journal = j-NUM-MATH, volume = "50", number = "2", pages = "183--203", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "88e:65085", MRreviewer = "T. Feagin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Math. Inst. A, Stuttgart Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Gauss methods; higher derivatives; integration; Lobatto methods; maximum order property; numerical integration formulas; order conditions; Radau methods; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Andrew:1986:CFE, author = "Alan L. Andrew and John W. Paine", title = "Correction of finite element estimates for {Sturm--Liouville} eigenvalues", journal = j-NUM-MATH, volume = "50", number = "2", pages = "205--215", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L15", MRnumber = "88f:65130", MRreviewer = "I. P. Gavrilyuk", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., La Trobe Univ., Bundoora, Vic., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; finite element analysis; finite element estimates; finite element method; linear hat functions; matrix elements; mesh length; Simpson rule; Sturm--Liouville eigenvalues; trapezoidal rule", treatment = "T Theoretical or Mathematical", } @Article{Canuto:1986:AKS, author = "Claudio Canuto and Giovanni {Sacchi Landriani}", title = "Analysis of the {Kleiser-Schumann} method", journal = j-NUM-MATH, volume = "50", number = "2", pages = "217--243", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35Q10 76F99)", MRnumber = "88f:65191", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Istituto di Anal. Numerica, CNR, Pavia, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error estimates; Fourier polynomials; function approximation; Kleiser-Schumann method; Legendre polynomials; Navier--Stokes equations; polynomials; Sobolev spaces; Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{Novak:1986:APE, author = "Erich Novak", title = "The average a posteriori error of numerical methods", journal = j-NUM-MATH, volume = "50", number = "2", pages = "245--252", month = mar, year = "1986", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Dxx (41A55 65G99)", MRnumber = "88b:65013", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Math. Inst., Erlangen Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "average a posteriori error; equidistribution; error analysis; finite dimensional sets; integration; Lebesgue measure; natural probability measure; numerical integration; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Hager:1987:MFF, author = "William W. Hager", title = "A modified fast {Fourier} transform for polynomial evaluation and the {Jenkins--Traub} algorithm", journal = j-NUM-MATH, volume = "50", number = "3", pages = "253--261", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65E05 (65H05 65T05)", MRnumber = "88a:65034", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C4190 (Other numerical methods)", corpsource = "Dept. of Math., Pennsylvania State Univ., University Park, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "circle in the complex plane; fast Fourier transforms; function evaluation; Jenkins--Traub algorithm; modified fast Fourier transform; poles and zeros; polynomial evaluation; polynomials; uniformly spaced points; zeros", treatment = "T Theoretical or Mathematical", } @Article{Schock:1987:SIM, author = "Eberhard Schock", title = "Semi-iterative methods for the approximate solution of ill-posed problems", journal = j-NUM-MATH, volume = "50", number = "3", pages = "263--271", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (65F10)", MRnumber = "88b:65075", MRreviewer = "M. Z. Nashed", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Kaiserslautern Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; convergence of numerical methods; convergence rates; functional analysis; Hilbert spaces; ill-conditioned linear equations; ill-posed problems; iterative methods; linear algebra; perturbed data; semi-iterative methods; two-step interactive methods", treatment = "T Theoretical or Mathematical", } @Article{Monegato:1987:WCQ, author = "Giovanni Monegato", title = "On the weights of certain quadratures for the numerical evaluation of {Cauchy} principal value integrals and their derivatives", journal = j-NUM-MATH, volume = "50", number = "3", pages = "273--281", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (65R20)", MRnumber = "88c:65027", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dipartimento di Matematica, Politecnico di Torino, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy principal value integrals; derivatives; integration; interpolation; interpolatory quadrature rules; Jacobi polynomial; numerical evaluation; numerical methods; polynomials; quadrature weights", treatment = "T Theoretical or Mathematical", } @Article{Li:1987:RRS, author = "T.-Y. Li and Tim Sauer", title = "Regularity results for solving systems of polynomials by homotopy method", journal = j-NUM-MATH, volume = "50", number = "3", pages = "283--289", month = may, year = "1987", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01390706", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (58C30 90C30)", MRnumber = "88c:65048", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Michigan State Univ., East Lansing, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "homotopy method; nonlinear equations; polynomial equations; polynomials; regularity results", treatment = "T Theoretical or Mathematical", } @Article{Langer:1987:NLE, author = "Ulrich Langer", title = "{Zur numerischen L{\"o}sung des ersten biharmonischen Randwertproblems}. ({German}) [{On} the numerical solution of the first biharmonic boundary value problem]", journal = j-NUM-MATH, volume = "50", number = "3", pages = "291--310", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65F10)", MRnumber = "88c:65101", MRreviewer = "H. R. Schwarz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Tech. Hochschule Karl-Marx-Stadt, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence; convergence of numerical methods; error analysis; finite element analysis; first biharmonic boundary-value problem; integral equations; iterative methods; Laplace operator; mixed finite element approximation; numerical solution; preconditioned Uzawa-type iterative methods; relative accuracy", language = "German", treatment = "T Theoretical or Mathematical", } @Article{deHoog:1987:EMC, author = "F. R. de Hoog and M. F. Hutchinson", title = "An efficient method for calculating smoothing splines using orthogonal transformations", journal = j-NUM-MATH, volume = "50", number = "3", pages = "311--319", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07", MRnumber = "88b:65020", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Div. of Math., CSIRO, Canberra, ACT, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cholesky factorization; computational complexity; ill-conditioning; influence matrix trace; mean squared residual; orthogonal factorization; orthogonal transformations; polynomial smoothing spline; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Gaviano:1987:LSC, author = "M. Gaviano and J. Abaffy", title = "Line search by curve fitting in minimization algorithms", journal = j-NUM-MATH, volume = "50", number = "3", pages = "321--335", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C30 (65K05)", MRnumber = "88h:90190", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Cagliari Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; cubic interpolations; curve fitting; error analysis; function approximation; function evaluation; function evaluations; interpolation; line search procedures; linearly convergent algorithms; minimisation; parabolic interpolations; unconstrained minimization; uniformly convex function", treatment = "T Theoretical or Mathematical", } @Article{Schmidt:1987:SCS, author = "G{\"u}nther Schmidt", title = "Spline collocation for singular integro-differential equations over $(0,1)$", journal = j-NUM-MATH, volume = "50", number = "3", pages = "337--352", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45J05 65L10)", MRnumber = "88d:65183", MRreviewer = "Christopher T. H. Baker", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Karl-Weierstrass-Inst. f{\"u}r Math., Akad. der Wissenschaften, Berlin, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error estimates; convergence in Sobolev norms; convergence of numerical methods; error analysis; integro-differential equations; necessary conditions; singular integro-differential equations; smooth polynomial splines; spline collocation; splines (mathematics); sufficient conditions; trial functions", treatment = "T Theoretical or Mathematical", } @Article{Kohaupt:1987:OEE, author = "Ludwig Kohaupt", title = "Optimal {$L^\infty$}-error estimates for piecewise linear finite elements in ${\bf R}^n$ for $1\leq n\leq 3$", journal = j-NUM-MATH, volume = "50", number = "3", pages = "353--362", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "88i:65131", MRreviewer = "Stephen W. Brady", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Kohaupt:1988:EEE}.", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence of numerical methods; error analysis; finite element analysis; optimal L/sup infinity / error estimates; partial differential equations; piecewise linear finite elements; piecewise-linear techniques; polyhedral convex regions; second order elliptic boundary value problems; Sobolev inequality; uniform convergence error estimates", treatment = "T Theoretical or Mathematical", } @Article{Iyengar:1987:SFD, author = "S. R. K. Iyengar and Pragya Jain", title = "Spline finite difference methods for singular two point boundary value problems", journal = j-NUM-MATH, volume = "50", number = "3", pages = "363--376", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (34A50 65L60)", MRnumber = "88g:65069", MRreviewer = "G. D. Byrne", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Indian Inst. of Technol., New Delhi, India", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; difference equations; second-order methods; singular two point boundary value problems; spline function; splines (mathematics); three-point finite difference methods", treatment = "T Theoretical or Mathematical", } @Article{Gilbert:1987:AND, author = "John R. Gilbert and Robert Endre Tarjan", title = "The analysis of a nested dissection algorithm", journal = j-NUM-MATH, volume = "50", number = "4", pages = "377--404", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (05C50 65F50 90C10)", MRnumber = "88d:65050", MRreviewer = "R. P. Tewarson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "George-Liu nested dissection algorithm; graph theory; Lipton-Tarjan planar separator algorithm; nested dissection algorithm; sparse matrix software; topological graph theory", treatment = "T Theoretical or Mathematical", } @Article{Sanz-Serna:1987:COR, author = "J. M. Sanz-Serna and J. G. Verwer and W. H. Hundsdorfer", title = "Convergence and order reduction of {Runge--Kutta} schemes applied to evolutionary problems in partial differential equations", journal = j-NUM-MATH, volume = "50", number = "4", pages = "405--418", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M10 (65M20)", MRnumber = "88f:65146", MRreviewer = "Reinhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. de Ecuaciones Funcionales, Valladolid Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "evolutionary problems; order reduction; partial differential equations; Runge--Kutta methods; Runge--Kutta schemes", treatment = "T Theoretical or Mathematical", } @Article{Allasia:1987:NCI, author = "Giampietro Allasia and Renata Besenghi", title = "Numerical calculation of incomplete gamma functions by the trapezoidal rule", journal = j-NUM-MATH, volume = "50", number = "4", pages = "419--428", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D20 (33A15 65D30)", MRnumber = "88f:65034", MRreviewer = "F. W. J. Olver", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dipartimento di Matematica, Torino Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Euler--Maclaurin formula; incomplete gamma functions; integral equations; integral representation; numerical calculation; trapezoidal rule", treatment = "T Theoretical or Mathematical", } @Article{Hilali:1987:FSI, author = "A. Hilali and A. Wazner", title = "Formes super-irr{\'e}ductibles des syst{\`e}mes diff{\'e}rentiels lin{\'e}aires. ({French}) [{Superirreducible} forms of linear differential systems]", journal = j-NUM-MATH, volume = "50", number = "4", pages = "429--449", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "58F35 (34A30 34C20 65L07)", MRnumber = "88h:58105", MRreviewer = "H. Brunner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. IMAG, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computer algebra system; linear differential equations; linear differential systems; REDUCE; super irreducible form", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Feistauer:1987:FES, author = "Miloslav Feistauer and Alexander {\v{Z}}en{\'i}{\v{s}}ek", title = "Finite element solution of nonlinear elliptic problems", journal = j-NUM-MATH, volume = "50", number = "4", pages = "451--475", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "88f:65195", MRreviewer = "Georges A. Lebaud", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Charles Univ., Prague, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; boundary value problems; boundary-value problems; finite element analysis; finite element solution; mixed Dirichlet--Neumann boundary conditions; nonlinear differential equations; nonlinear elliptic problems; numerical integration", treatment = "T Theoretical or Mathematical", } @Article{Fiala:1987:CDB, author = "Tibor Fiala and Anna Krebsz", title = "On the convergence and divergence of {Bairstow}'s method", journal = j-NUM-MATH, volume = "50", number = "4", pages = "477--482", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "88d:65087", MRreviewer = "J. A. Grant", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Decision Anal., Nat. Manage. Dev. Centre, Budapest, Hungary", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic character; Bairstow method; convergence; divergence; invertibility; Jacobian matrix; local quadratic convergence; necessary and sufficient conditions; polynomials; rational numbers; two step cyclization", treatment = "T Theoretical or Mathematical", } @Article{OReilly:1987:USS, author = "M. J. O'Reilly", title = "A uniform scheme for the singularly perturbed {Riccati} equation", journal = j-NUM-MATH, volume = "50", number = "4", pages = "483--501", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34A10 34E15 65G99)", MRnumber = "88f:65112", MRreviewer = "Jack Williams", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Regional Tech. Coll., Dundalk, Ireland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; differential equation; finite difference scheme; numerical results; singularly perturbed Riccati equation; uniform scheme", treatment = "T Theoretical or Mathematical", } @Article{Frontini:1987:MPS, author = "Marco Frontini and Walter Gautschi and Gradimir V. Milovanovi{\'c}", title = "Moment-preserving spline approximation on finite intervals", journal = j-NUM-MATH, volume = "50", number = "5", pages = "503--518", month = mar, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A29 (41A15 65D07)", MRnumber = "88g:41019", MRreviewer = "Eli Passow", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dipartimento di Matematica, Politecnico di Milano, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; finite intervals; Gauss--Lobatto rules; Gauss--Radau quadrature rules; moment functionals; moment preserving spline approximation; pointwise convergence; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Stynes:1987:UCD, author = "Martin Stynes and Eugene O'Riordan", title = "{$L^1$} and {$L^\infty$} uniform convergence of a difference scheme for a semilinear singular perturbation problem", journal = j-NUM-MATH, volume = "50", number = "5", pages = "519--531", month = mar, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "88e:65102", MRreviewer = "T. Feagin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. Coll., Cork, Ireland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; difference equations; nonlinear difference scheme; semilinear singular perturbation problem; two-point boundary value problem; uniform convergence", treatment = "T Theoretical or Mathematical", } @Article{Marini:1987:EAB, author = "Luisa Donatella Marini", title = "Estimates from above and from below for the homogenized coefficients", journal = j-NUM-MATH, volume = "50", number = "5", pages = "533--545", month = mar, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (49A34)", MRnumber = "88h:65212", MRreviewer = "Jan Mandel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Istituto di Analisi Numerica, CNR, Pavia, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a-posteriori error estimates; finite elements; functional equations; homogenized coefficients; minimum problem; quadratic functional", treatment = "T Theoretical or Mathematical", } @Article{Dickmeis:1987:CTC, author = "W. Dickmeis", title = "Comparison theorems for compound quadrature formulas", journal = j-NUM-MATH, volume = "50", number = "5", pages = "547--556", month = mar, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (41A55)", MRnumber = "88h:65056", MRreviewer = "Marc Duc-Jacquet", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Lehrstuhl A f{\"u}r Math., RWTH Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "comparison theorems; compound quadrature formulas; Mobius inversion; number theory; rates of convergence; representation formulas", treatment = "T Theoretical or Mathematical", } @Article{Fetter:1987:EEA, author = "Alfredo Fetter", title = "{$L^\infty$}-error estimate for an approximation of a parabolic variational inequality", journal = j-NUM-MATH, volume = "50", number = "5", pages = "557--565", month = mar, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35K85)", MRnumber = "88d:65162", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Math. Seminar, Bonn Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; auxiliary parabolic equation; backward Euler scheme; error estimate; Galerkin method; maximum principle; one phase Stefan problem; parabolic variational inequality; piecewise linear finite elements; piecewise-linear techniques; regularity assumptions; smoothing property; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Peisker:1987:CGM, author = "P. Peisker and D. Braess", title = "A conjugate gradient method and a multigrid algorithm for {Morley}'s finite element approximation of the biharmonic equation", journal = j-NUM-MATH, volume = "50", number = "5", pages = "567--586", month = mar, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "88e:65147", MRreviewer = "I. Christie", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Math., Ruhr-Univ., Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; biharmonic equation; conjugate gradient method; discretization; finite element analysis; finite element approximation; linear equations; multigrid algorithm; nonconforming displacement method; numerical solution; preconditioning", treatment = "T Theoretical or Mathematical", } @Article{Gastaldi:1987:OEE, author = "Lucia Gastaldi and Ricardo Nochetto", title = "Optimal {$L^\infty$}-error estimates for nonconforming and mixed finite element methods of lowest order", journal = j-NUM-MATH, volume = "50", number = "5", pages = "587--611", month = mar, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "88f:65196", MRreviewer = "Viorel Arnautu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dipartimento di Matematica, Pavia Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; displacement fields; error estimates; finite element analysis; finite element methods; lowest order; Raviart--Thomas mixed finite element method; second order linear elliptic problems; stress fields", treatment = "T Theoretical or Mathematical", } @Article{Higham:1987:EAB, author = "Nicholas J. Higham", title = "Error Analysis of the {Bj\"orck-Pereyra} Algorithms for Solving {Vandermonde} Systems", journal = j-NUM-MATH, volume = "50", number = "5", pages = "613--632", month = mar, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65G05 (65F05)", MRnumber = "88d:65080", MRreviewer = "N. L. Vulchanov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-j.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Manchester Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bjorck-Pereyra algorithms; error analysis; error bound; machine precision; Vandermonde systems", treatment = "T Theoretical or Mathematical", } @Article{Jarausch:1987:SLN, author = "Helmut Jarausch and Wolfgang Mackens", title = "Solving large nonlinear systems of equations by an adaptive condensation process", journal = j-NUM-MATH, volume = "50", number = "6", pages = "633--653", month = apr, year = "1987", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01398377", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (65H15 65K10 65N20 65N30)", MRnumber = "88d:65089", MRreviewer = "R. P. Tewarson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Math., RWTH Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive condensation process; decomposition process; iteration process; iterative methods; iterative solver; large nonlinear systems of equations; Newton-type trust region algorithm; nonlinear differential equations; nonlinear elliptic partial differential equations; partial differential equations; symmetric positive definite matrix", treatment = "T Theoretical or Mathematical", } @Article{Feistauer:1987:FEA, author = "Miloslav Feistauer", title = "On the finite element approximation of a cascade flow problem", journal = j-NUM-MATH, volume = "50", number = "6", pages = "655--684", month = apr, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76-08)", MRnumber = "88h:65205", MRreviewer = "Edward Detyna", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods)", corpsource = "Fac. of Math. and Phys., Charles Univ., Prague, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cascade flow problem; finite element analysis; finite element approximation; fluid mechanics; linear triangular elements; nonlinear problem; nonpolygonal domains; nonstandard boundary conditions; numerical integration; polygonal; stream function", treatment = "T Theoretical or Mathematical", } @Article{Verfurth:1987:MFE, author = "R{\"u}diger Verf{\"u}rth", title = "Mixed finite element approximation of the vector potential", journal = j-NUM-MATH, volume = "50", number = "6", pages = "685--695", month = apr, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "88k:65115", MRreviewer = "David C. Arney", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4740H (Transonic flows)", corpsource = "Inst. f{\"u}r Angewandte Math., Heidelberg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Babu{\v{s}}ka paradox; boundary conditions; finite element analysis; finite element approximation; flow simulation; optimal error estimates; perfect fluids; piecewise linear techniques; rotational corrections; simulation; transonic flow; transonic potential flows; vector potential", treatment = "T Theoretical or Mathematical", } @Article{Verfurth:1987:FEA, author = "R{\"u}diger Verf{\"u}rth", title = "Finite element approximation of incompressible {Navier--Stokes} equations with slip boundary condition", journal = j-NUM-MATH, volume = "50", number = "6", pages = "697--721", month = apr, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "88g:65121", MRreviewer = "Christopher Caldwell", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods)", corpsource = "Inst. f{\"u}r Angewandte Math., Heidelberg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; flow simulation; free surfaces; incompressible Navier--Stokes equations; incompressible viscous flows; minimal regularity assumptions; Navier--Stokes equations; optimal error estimates; Reynold number; saddle-point formulation; simulation of flows; slip boundary condition", treatment = "T Theoretical or Mathematical", } @Article{Roubicek:1987:OCS, author = "Tom{\'a}{\v{s}} Roub{\'i}{\v{c}}ek", title = "Optimal control of a {Stefan} problem with state-space constraints. Numerical approximation", journal = j-NUM-MATH, volume = "50", number = "6", pages = "723--744", month = apr, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (49A22)", MRnumber = "88e:65078", MRreviewer = "Henry Wolkowicz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4725Q (Convection and heat transfer); C1310 (Analysis and synthesis methods); C1330 (Optimal control)", corpsource = "Inst. of Inf. Theory and Autom., Czechoslovak Acad. of Sci., Praha, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "backward Euler formula; enthalpy formulation; finite-element method; heat transfer; nonlinear boundary conditions; numerical approximation; optimal control; penalty-function method; stability; state-space constraints; state-space methods; Stefan problem", treatment = "T Theoretical or Mathematical", } @Article{Bauer:1987:MJH, author = "F. L. Bauer and A. S. Householder", title = "In memoriam: {J. H. Wilkinson} (1919--1986)", journal = j-NUM-MATH, volume = "51", number = "1", pages = "1--2", month = may, year = "1987", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01399690", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "01A70", MRnumber = "88b:01041", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gerlach:1987:RPI, author = "Juergen Gerlach and Ronald Guenther", title = "Remarks on parameter identification. {II}. Convergence of the algorithm", journal = j-NUM-MATH, volume = "51", number = "1", pages = "3--9", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J05 (35R30 65K10 65M30)", MRnumber = "88e:65068", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1220 (Simulation, modelling and identification); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Missouri Univ., Columbia, MO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence theorem; function approximation; identification; parabolic equation; parameter estimation; parameter identification; stability results", treatment = "T Theoretical or Mathematical", } @Article{Schmidt:1987:TLC, author = "Jochen W. Schmidt", title = "On tridiagonal linear complementarity problems", journal = j-NUM-MATH, volume = "51", number = "1", pages = "11--21", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C33 (65K05)", MRnumber = "88f:90172", MRreviewer = "Ikuyo Kaneko", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Tech. Univ. of Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; dualization; iterative methods; Newton method; optimisation; optimization problem; superlinearly convergent algorithm; tridiagonal linear complementarity problems; weakly coupled program", treatment = "T Theoretical or Mathematical", } @Article{Barrett:1987:PFE, author = "John W. Barrett and Charles M. Elliott", title = "A practical finite element approximation of a semi-definite {Neumann} problem on a curved domain", journal = j-NUM-MATH, volume = "51", number = "1", pages = "23--36", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "88d:65158", MRreviewer = "Yu Cheng Su", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; curved domain; domain errors; finite element analysis; finite element approximation; Galerkin approximation; integration; numerical integration; partial differential equations; perturbation; semi-definite Neumann problem", treatment = "T Theoretical or Mathematical", } @Article{Freeden:1987:NIM, author = "W. Freeden and J. Fleck", title = "Numerical integration by means of adapted {Euler} summation formulas", journal = j-NUM-MATH, volume = "51", number = "1", pages = "37--64", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (65B10 65R10)", MRnumber = "88e:65020", MRreviewer = "Zuhe Shen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Inst. f{\"u}r Reine und Angewandte Math., RWTH Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adapted Euler summation formulas; cubature formulas; error analysis; formulas; integration; multidimensional generalizations; numerical integration; truncation error", treatment = "T Theoretical or Mathematical", } @Article{GmeligMeyling:1987:ACS, author = "R. H. J. {Gmelig Meyling}", title = "Approximation by cubic {$C^1$}-splines on arbitrary triangulations", journal = j-NUM-MATH, volume = "51", number = "1", pages = "65--85", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (41A63 65D07)", MRnumber = "88i:41019", MRreviewer = "R. K. Beatson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Twente Univ. of Technol., Enschede, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary triangulations; boundary conditions; cubic C/sup 1/-splines; function approximation; interpolation; interpolation problems; least squares approximation; numerical method; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Masmoudi:1987:NSE, author = "M. Masmoudi", title = "Numerical solution for exterior problems", journal = j-NUM-MATH, volume = "51", number = "1", pages = "87--101", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "88d:65168", MRreviewer = "John Stephenson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. de Math., Nice Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bessel functions; boundary condition; boundary-value problems; error analysis; error estimate; explicit formula; exterior problems; finite element analysis; finite element method; Helmholtz equation; partial differential equations; perfect absorption condition", treatment = "T Theoretical or Mathematical", } @Article{Beyn:1987:ICC, author = "Wolf-J{\"u}rgen Beyn", title = "On invariant closed curves for one-step methods", journal = j-NUM-MATH, volume = "51", number = "1", pages = "103--122", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20 (58F08 58F22)", MRnumber = "88d:65121", MRreviewer = "J{\"u}rgen Scheurle", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4130 (Interpolation and function approximation)", corpsource = "Fakult{\"a}t f{\"u}r Math., Konstanz Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic expression; computational geometry; convergence of numerical methods; dynamical system; function approximation; Hopf bifurcation; hyperbolic periodic orbit; invariant closed curves; iterative methods; one-step methods; rotation number; stability", treatment = "T Theoretical or Mathematical", } @Article{Nelson:1987:GPM, author = "Stuart Nelson and Michael Neumann", title = "Generalizations of the projection method with applications to {SOR} theory for {Hermitian} positive semidefinite linear systems", journal = j-NUM-MATH, volume = "51", number = "2", pages = "123--141", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "88d:65063", MRreviewer = "C. Ilioi", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Connecticut Univ., Storrs, CT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex matrix; eigenvalue; Hermitian positive semidefinite linear systems; iteration matrix; iterative methods; necessary and sufficient conditions; orthogonal projections; paracontracting; projection method; SOR theory; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Chan:1987:IMO, author = "R. H. Chan", title = "Iterative methods for overflow queueing models. {I}", journal = j-NUM-MATH, volume = "51", number = "2", pages = "143--180", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "60K25 (90B22)", MRnumber = "89b:60210", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0240C (Queueing theory); B0290F (Interpolation and function approximation); C1140C (Queueing theory); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Stat., Massachusetts Univ., Amherst, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iterative methods; Kolmogorov balance equations; Markov processes; Markovian queueing networks; overflow queueing models; preconditioned conjugate gradient methods; probability; queueing theory; steady-state probability", treatment = "T Theoretical or Mathematical", } @Article{Ball:1987:NMD, author = "J. M. Ball and G. Knowles", title = "A numerical method for detecting singular minimizers", journal = j-NUM-MATH, volume = "51", number = "2", pages = "181--197", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (49A05 49D27 73G05)", MRnumber = "88h:65131", MRreviewer = "Viorel Arnautu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290 (Numerical analysis); C1180 (Optimisation techniques); C4100 (Numerical analysis)", corpsource = "Dept. of Math., Heriot-Watt Univ., Edinburgh, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "calculus of variations; finite element methods; fracture; Lavrentiev phenomenon; minimisation; nonlinear elasticity; numerical method; numerical methods; one-dimensional problems; singular minimizers detection; unbounded derivatives", treatment = "T Theoretical or Mathematical", } @Article{Auzinger:1987:DCN, author = "Winfried Auzinger", title = "Defect correction for nonlinear elliptic difference equations", journal = j-NUM-MATH, volume = "51", number = "2", pages = "199--208", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20", MRnumber = "88d:65147", MRreviewer = "W. F. Ames", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte und Numerische Math., Tech. Univ., Wien, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; convergence; defect correction technique; discretizations; multigrid techniques; nonlinear differential equations; nonlinear elliptic difference equations", treatment = "T Theoretical or Mathematical", } @Article{Axelsson:1987:GCG, author = "O. Axelsson", title = "A generalized conjugate gradient, least square method", journal = j-NUM-MATH, volume = "51", number = "2", pages = "209--227", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "88e:65032", MRreviewer = "Sudhangshu B. Karmakar", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Catholic Univ., Nijmegen, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "generalized conjugate gradient; generalized s-term truncated conjugate gradient method; least square method; least squares approximations; special inner product", treatment = "T Theoretical or Mathematical", } @Article{Schneid:1987:CLI, author = "Josef Schneid", title = "${B}$-convergence of {Lobatto} ${\rm IIIC}$ formulas", journal = j-NUM-MATH, volume = "51", number = "2", pages = "229--235", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "88f:65113", MRreviewer = "Rolf Jeltsch", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte und Numerische Math., Tech. Univ., Wien, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "B-convergence; differential equations; initial value problems; IVPs; Lobatto IIIC formulas; negative one-sided Lipschitz constant; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Brezzi:1987:MFE, author = "Franco Brezzi and Jim {Douglas, Jr.} and Ricardo Dur{\'a}n and Michel Fortin", title = "Mixed finite elements for second order elliptic problems in three variables", journal = j-NUM-MATH, volume = "51", number = "2", pages = "237--250", month = may, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "88f:65190", MRreviewer = "Jaros{\l}aw Jele\'n", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dipartimento di Meccanica Strutturale, Pavia Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cubes; error estimates; iterative method; iterative methods; mixed finite elements; Raviart--Thomas--Nedelec spaces; second order elliptic problems; simplices", treatment = "T Theoretical or Mathematical", } @Article{Demmel:1987:CND, author = "James Weldon Demmel", title = "On Condition Numbers and the Distance to the Nearest Ill-Posed Problem", journal = j-NUM-MATH, volume = "51", number = "3", pages = "251--289", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A12 (15A42 15A45 65F35)", MRnumber = "88i:15014", MRreviewer = "Frank Uhlig", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Courant Inst. of Math. Sci., New York, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "condition; condition numbers; differential inequalities; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; ill-posed problem; la; linear control systems; math; matrix inversion; nearest ill-posed problem; nla; numerical analysis; pert; pole assignment; poles and zeros; polynomials; sensitivity; zeros", treatment = "T Theoretical or Mathematical", } @Article{Balla:1987:RHP, author = "Katalin Balla and M{\'a}ria Vicsek", title = "On the reduction of {Holt}'s problem to a finite interval", journal = j-NUM-MATH, volume = "51", number = "3", pages = "291--302", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "89g:65097a", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Balla:1988:ERH}.", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Comput. and Autom. Inst., Hungarian Acad. of Sci., Budapest, Hungary", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problem; boundary-value problems; differential equations; error analysis; error estimate; finite interval; Holt's problem reduction", treatment = "T Theoretical or Mathematical", } @Article{Banerjee:1987:LNE, author = "U. Banerjee", title = "Lower norm error estimates for approximate solutions of differential equations with non-smooth coefficients", journal = j-NUM-MATH, volume = "51", number = "3", pages = "303--321", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "88f:65189", MRreviewer = "Rolf Rannacher", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Syracuse Univ., NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solutions; boundary value problems; boundary-value problems; differential equations; finite element analysis; lower norm error estimates; nonsmooth coefficients", treatment = "T Theoretical or Mathematical", } @Article{Mas-Gallic:1987:PMF, author = "S. Mas-Gallic and P. A. Raviart", title = "A particle method for first-order symmetric systems", journal = j-NUM-MATH, volume = "51", number = "3", pages = "323--352", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M15", MRnumber = "88d:65132", MRreviewer = "J. T. Oden", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Appl., Centre d'Etudes de Limeil, Villeneuve Saint-Georges, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; cut-off functions; first-order symmetric systems; linear hyperbolic; parabolic systems; partial differential equations; particle method", treatment = "T Theoretical or Mathematical", } @Article{Friedrich:1987:PCT, author = "Volkmar Friedrich and Bernd Hofmann", title = "A predictor-corrector technique for constrained least-squares regularization", journal = j-NUM-MATH, volume = "51", number = "3", pages = "353--367", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (47H17 65M30)", MRnumber = "88k:65056", MRreviewer = "T. I. Seidman", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Sektion Math., Tech. Hochschule Karl-Marx-Stadt, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "coarse discretization; constrained least-squares regularization; fine discretization; Frechet derivatives; inverse problems; least squares approximations; predictor-corrector methods; predictor-corrector technique; starting approximation", treatment = "T Theoretical or Mathematical", } @Article{Gabutti:1987:NPT, author = "Bruno Gabutti and Paolo Lepora", title = "The numerical performance of {Tricomi}'s formula for inverting the {Laplace} transform", journal = j-NUM-MATH, volume = "51", number = "3", pages = "369--380", month = jul, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R10 (44A10 65B10)", MRnumber = "88e:65157", MRreviewer = "P. M. Gupta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dipartimento di Matematica, Torino Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; Euler-Knopp transformation; inverting; Laguerre polynomials; Laplace transform; Laplace transforms; numerical performance; polynomials; rate of convergence; recursive algorithm; Tricomi formula", treatment = "T Theoretical or Mathematical", } @Article{Pao:1987:NSS, author = "C. V. Pao", title = "Numerical solutions for some coupled systems of nonlinear boundary value problems", journal = j-NUM-MATH, volume = "51", number = "4", pages = "381--394", month = aug, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20", MRnumber = "89f:65115", MRreviewer = "Stanis{\l}aw Burys", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; coupled systems; difference equations; Dirichlet boundary condition; finite difference system; iterative methods; iterative scheme; monotone sequences; nonlinear boundary value problems; numerical solutions; reaction diffusion equations; steady state solutions; Volterra--Lotka model", treatment = "T Theoretical or Mathematical", } @Article{Kiwiel:1987:CLM, author = "Krzysztof C. Kiwiel", title = "A constraint linearization method for nondifferentiable convex minimization", journal = j-NUM-MATH, volume = "51", number = "4", pages = "395--414", month = aug, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K05 (90C25)", MRnumber = "89b:65152", MRreviewer = "Alfonso Laratta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Syst. Res. Inst., Polish Acad. of Scis., Warsaw, Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constraint linearization method; convex programming; global convergence; minimisation; nondifferentiable convex minimization; piecewise linear problems; smooth problems; stepsize selection; successive quadratic approximations methods", treatment = "T Theoretical or Mathematical", } @Article{Dietel:1987:FIM, author = "Carmen Dietel", title = "A fast iterative method for solving stationary heat conduction problems on regions partitioned into rectangles", journal = j-NUM-MATH, volume = "51", number = "4", pages = "415--428", month = aug, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (80-08 80A20)", MRnumber = "88i:65128", MRreviewer = "Lydia Kronsj{\"o}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Tech. Univ. Karl-Marx-Stadt, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradient method; finite element approximation; heat conduction; iterative method; iterative methods; stationary heat conduction problems; superelement-technique; Tshebysheff method; vector multiplication procedure", treatment = "T Theoretical or Mathematical", } @Article{Abaffy:1987:LCA, author = "J{\'o}zsef Abaffy and Aur{\'e}l Gal{\'a}ntai and Emilio Spedicato", title = "The local convergence of {ABS} methods for nonlinear algebraic equations", journal = j-NUM-MATH, volume = "51", number = "4", pages = "429--439", month = aug, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "89c:65065", MRreviewer = "Fran{\c{c}}ois Robert", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Economics Univ., Budapest, Hungary", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "ABS methods; algebra; convergence of numerical methods; convergence properties; local convergence; nonlinear algebraic equations; nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{Edelman:1987:ASM, author = "Alan Edelman and Charles A. Micchelli", title = "Admissible slopes for monotone and convex interpolation", journal = j-NUM-MATH, volume = "51", number = "4", pages = "441--458", month = aug, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05", MRnumber = "89b:65031", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., MIT, Cambridge, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "admissible slopes; convex interpolation; convex polynomials; convex programming; convexity; geometric property; interpolation; monotone interpolation; monotone piecewise polynomials; monotone polynomials; monotonicity; nonnegativity; parametric cubic curves; polynomials; rational functions", treatment = "T Theoretical or Mathematical", } @Article{Halpern:1987:EAA, author = "Laurence Halpern and Jeffrey Rauch", title = "Error analysis for absorbing boundary conditions", journal = j-NUM-MATH, volume = "51", number = "4", pages = "459--467", month = aug, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M15 (35L05)", MRnumber = "88j:65195", MRreviewer = "I. P. Gavrilyuk", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0340K (Waves and wave propagation: general mathematical aspects); B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Centre de Math. Appliqu{\'e}es, {\'E}cole Polytech., Palaiseau, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "absorbing boundary conditions; artificial boundaries; error analysis; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Hekrdla:1987:ITD, author = "Josef Hekrdla", title = "Index transforms for {$N$}-dimensional {DFT's}", journal = j-NUM-MATH, volume = "51", number = "4", pages = "469--480", month = aug, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65T05 (11Y16 20K01)", MRnumber = "89h:65230", MRreviewer = "Harold N. Ward", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Inst. of Radio Eng. and Electron., Czechoslovak Acad. of Scis., Praha, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Fourier transforms; index transforms; n-dimensional discrete Fourier transforms; necessary and sufficient conditions", treatment = "T Theoretical or Mathematical", } @Article{Li:1987:RPH, author = "T.-Y. Li and Tim Sauer and James A. Yorke", title = "The random product homotopy and deficient polynomial systems", journal = j-NUM-MATH, volume = "51", number = "5", pages = "481--500", month = oct, year = "1987", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01400351", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (58C30 65H15 90C30)", MRnumber = "88j:65108", MRreviewer = "G. D. Maystrovsky", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Michigan State Univ., East Lansing, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "deficient polynomial systems; polynomial equations; polynomials; random product homotopy", treatment = "T Theoretical or Mathematical", } @Article{Deuflhard:1987:OSE, author = "P. Deuflhard and E. Hairer and J. Zugck", title = "One-step and extrapolation methods for differential-algebraic systems", journal = j-NUM-MATH, volume = "51", number = "5", pages = "501--516", month = oct, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "89e:65069", MRreviewer = "David Swailes", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Konrad-Zuse-Zentrum f{\"u}r Informationstech. Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence order; differential equations; differential-algebraic systems; Euler discretization; extrapolation; extrapolation methods; one-step methods; perturbed asymptotic expansions", treatment = "T Theoretical or Mathematical", } @Article{Hadjidimos:1987:OSN, author = "A. Hadjidimos", title = "Optimum stationary and nonstationary iterative methods for the solution of singular linear systems", journal = j-NUM-MATH, volume = "51", number = "5", pages = "517--530", month = oct, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "88i:65052", MRreviewer = "Beny Neta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Ioannina Univ., Greece", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accelerated overrelaxation; Chebyshev approximation; iterative methods; nonstationary iterative methods; nonstationary second order Chebyshev semiiterative; optimum stationary methods; singular linear systems; stationary k-Step", treatment = "T Theoretical or Mathematical", } @Article{Spath:1987:OLA, author = "H. Sp{\"a}th and G. A. Watson", title = "On orthogonal linear {$\ell_1$} approximation", journal = j-NUM-MATH, volume = "51", number = "5", pages = "531--543", month = oct, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D10", MRnumber = "88i:65019", MRreviewer = "C. Phillips", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Math., Oldenburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; discrete data; local best approximations; orthogonal linear l/sub 1/ approximation", treatment = "T Theoretical or Mathematical", } @Article{Yamamoto:1987:CTN, author = "Tetsuro Yamamoto", title = "A convergence theorem for {Newton}-like methods in {Banach} spaces", journal = j-NUM-MATH, volume = "51", number = "5", pages = "545--557", month = oct, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (47H17 58C15 65G99)", MRnumber = "88i:65081", MRreviewer = "J. Albrycht", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Math., Fac. of Sci., Ehime Univ., Matsuyama, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach spaces; convergence of numerical methods; convergence theorem; error bounds; Kantorovich theorem; Newton-like methods", treatment = "T Theoretical or Mathematical", } @Article{Helfrich:1987:EES, author = "Hans-Peter Helfrich", title = "Error estimates for semidiscrete {Galerkin} type approximations to semilinear evolution equations with nonsmooth initial data", journal = j-NUM-MATH, volume = "51", number = "5", pages = "559--569", month = oct, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (47H17 65N30)", MRnumber = "88j:65130", MRreviewer = "R. Kodn{\'a}r", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Seminar, Landwirtschaftlichen Fakult{\"a}t Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; error estimates; nonsmooth initial data; optimal order of convergence; semidiscrete Galerkin type approximations; semilinear evolution equations", treatment = "T Theoretical or Mathematical", } @Article{Fiedler:1987:AVP, author = "H. Fiedler", title = "{Das asymptotische Verhalten der Peanokerne einiger interpolatorischer Quadraturverfahren}. ({German}) [{The} asymptotic behavior of the {Peano} kernels of some interpolatory quadrature methods]", journal = j-NUM-MATH, volume = "51", number = "5", pages = "571--581", month = oct, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A80 (41A55 41A60 65D30 65D32)", MRnumber = "88j:41080", MRreviewer = "G. Meinardus", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Abteilung Math. I, Ulm Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic behaviour; interpolation; interpolatory quadrature formulae; Peano kernels", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Wild:1987:ACP, author = "Paul Wild", title = "Accelerating the convergence of power series of certain entire functions", journal = j-NUM-MATH, volume = "51", number = "5", pages = "583--595", month = oct, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B10 (30E10 65E05)", MRnumber = "89a:65007", MRreviewer = "D. Levin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Praktische Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; convergence of power series; entire functions; exponential function; interpolation; numerical evaluation; polynomials; series (mathematics); Taylor series expansion", treatment = "T Theoretical or Mathematical", } @Article{Li:1987:ENC, author = "Zi-Cai Li", title = "Erratum: {``A nonconforming combined method for solving {Laplace}'s boundary value problems with singularities''}", journal = j-NUM-MATH, volume = "51", number = "5", pages = "597--597", month = oct, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "88g:65116b", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Li:1986:NCM}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Anselone:1987:NSI, author = "P. M. Anselone and I. H. Sloan", title = "Numerical solutions of integral equations on the half line. {I}. The compact case", journal = j-NUM-MATH, volume = "51", number = "6", pages = "599--614", month = nov, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "88k:65124", MRreviewer = "P. Uba", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Oregon State Univ., Corvallis, OR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach space; compact integral operator; function approximation; functional analysis; half line; integral equations; integration; numerical approximation schemes; quadrature", treatment = "T Theoretical or Mathematical", } @Article{Gutknecht:1987:AFM, author = "Martin H. Gutknecht", title = "Attenuation factors in multivariate {Fourier} analysis", journal = j-NUM-MATH, volume = "51", number = "6", pages = "615--629", month = nov, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "42B05 (41A15 41A63 65D07 65T05)", MRnumber = "89d:42022", MRreviewer = "Rong Qing Jia", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Seminar f{\"u}r Angewandte Math., Eidgenossische Tech. Hochschule, ETH-Zentrum, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "attenuation factors; box splines; finite elements; Fourier analysis; function approximation; functional analysis; functions in several variables; interpolation; interpolation by translates of one generating function; linearity; multivariate Fourier analysis; periodic functions in one variable; splines (mathematics); tensor product families; translation invariance", treatment = "T Theoretical or Mathematical", } @Article{Belbas:1987:AFP, author = "S. A. Belbas and I. D. Mayergoyz", title = "Applications of fixed-point methods to discrete variational and quasi-variational inequalities", journal = j-NUM-MATH, volume = "51", number = "6", pages = "631--654", month = nov, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49A29 (54H25 65N10 65N20 93C20 93C57 93E05)", MRnumber = "89a:49008", MRreviewer = "Jose Luis Menaldi", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1340G (Time-varying systems); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Alabama Univ., University, AL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "discrete quasivariational inequalities; discrete variational inequalities; fixed-point methods; functional analysis; globally convergent iterative methods; iterative methods; massively parallel processors; mathematical physics; parallel algorithms; parallel computers; SIMD computers; stochastic control; stochastic systems; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Bernardi:1987:SAP, author = "Christine Bernardi and Yvon Maday and Brigitte M{\'e}tivet", title = "Spectral approximation of the periodic-nonperiodic {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "51", number = "6", pages = "655--700", month = nov, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35Q10 65N35 76-08 76D05)", MRnumber = "89f:65118", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods)", corpsource = "Anal. Num{\'e}rique, Univ. Pierre et Marie Curie, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; collocation pseudo-spectral method; discrete spaces; error analysis; error bounds; external flows; function approximation; incompressible Navier--Stokes equations; inf-sup condition; Navier--Stokes equations; no-slip boundary condition; periodic boundary conditions; periodic-nonperiodic Navier--Stokes equations; spectral analysis; spectral approximation; Stokes problem; velocity-pressure formulation", treatment = "T Theoretical or Mathematical", } @Article{Thiran:1987:SCA, author = "J. P. Thiran and S. Thiry", title = "Strict {Chebyshev} approximation for general systems of linear equations", journal = j-NUM-MATH, volume = "51", number = "6", pages = "701--725", month = nov, year = "1987", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20 (41A50)", MRnumber = "89b:65100", MRreviewer = "K. Jetter", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Fac. Univ. de Namur, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "ascent exchange algorithm; canonical decomposition; Chebyshev approximation; Gaussian elimination; generalized exchange rules; linear algebra; linear equations; strict Chebyshev approximation", treatment = "T Theoretical or Mathematical", } @Article{Vrscay:1988:EFP, author = "Edward R. Vrscay and William J. Gilbert", title = "Extraneous fixed points, basin boundaries and chaotic dynamics for {Schr{\"o}der} and {K{\"o}nig} rational iteration functions", journal = j-NUM-MATH, volume = "52", number = "1", pages = "1--16", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30D05 (58F08 58F13 65E05 65H05)", MRnumber = "89b:30026", MRreviewer = "L. S. O. Liverpool", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Waterloo Univ., Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "basin boundaries; chaos; chaotic dynamics; dynamics; extraneous fixed points; iterative methods; Julia set; Konig rational iteration functions; Newton method; poles and zeros; polynomial zeros; polynomials; Schr{\"o}der rational iteration functions", treatment = "T Theoretical or Mathematical", } @Article{Opfer:1988:DCS, author = "Gerhard Opfer and Hans Joachim Oberle", title = "The derivation of cubic splines with obstacles by methods of optimization and optimal control", journal = j-NUM-MATH, volume = "52", number = "1", pages = "17--31", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (49B36 65D07)", MRnumber = "89a:41013", MRreviewer = "Han Lin Chen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C1330 (Optimal control); C4130 (Interpolation and function approximation)", corpsource = "Inst. of Appl. Math., Hamburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cubic splines with obstacles; interpolating splines; interpolation; optimal control; optimisation; optimization; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Ruas:1988:QFE, author = "Vitoriano Ruas", title = "A quadratic finite element method for solving biharmonic problems in ${\bf R}^n$", journal = j-NUM-MATH, volume = "52", number = "1", pages = "33--43", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "89a:65173", MRreviewer = "I. Christie", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis)", corpsource = "Pontificia Univ. Catolica, Rio de Janeiro, Brazil", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "biharmonic problems; finite element analysis; functional analysis; Morley triangle; primal variable; quadratic finite element method; simplicial finite element methods", treatment = "T Theoretical or Mathematical", } @Article{Roche:1988:RMD, author = "Michel Roche", title = "{Rosenbrock} methods for differential algebraic equations", journal = j-NUM-MATH, volume = "52", number = "1", pages = "45--63", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "88j:65155", MRreviewer = "H. Brunner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4170 (Differential equations)", corpsource = "Dept. de Math., Gen{\`e}ve Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebra; Butcher-type results; convergence of numerical methods; convergent embedded methods; differential algebraic equations; differential equations; numerical solution; Rosenbrock methods; Taylor expansion; trees; trees (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Eggermont:1988:MAV, author = "P. P. B. Eggermont", title = "On monotone {Abel--Volterra} integral equations on the half line", journal = j-NUM-MATH, volume = "52", number = "1", pages = "65--79", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45D05)", MRnumber = "88m:65204", MRreviewer = "John M. Bownds", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Centrum voor Wiskunde en Inf., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; half line; integral equations; monotone Abel--Volterra integral equations; nonlinear Abel--Volterra integral equations; nonlinear equations; trapezoidal method", treatment = "T Theoretical or Mathematical", } @Article{Hebeker:1988:NTV, author = "F. K. Hebeker", title = "On the numerical treatment of viscous flows against bodies with corners and edges by boundary element and multigrid methods", journal = j-NUM-MATH, volume = "52", number = "1", pages = "81--99", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "88k:65112", MRreviewer = "I. Christie", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A0270 (Computational techniques)A4710 (General theory, simulation and other computational methods)", corpsource = "Univ.-GHS Paderborn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bodies with corners; bodies with edges; boundary element method; boundary-elements methods; convergence; convergence of numerical methods; external flows; flow simulation; multigrid methods; numerical treatment; viscosity; viscous flows", treatment = "B Bibliography; T Theoretical or Mathematical; X Experimental", } @Article{Reddy:1988:VPC, author = "B. D. Reddy and T. B. Griffin", title = "Variational principles and convergence of finite element approximations of a holonomic elastic-plastic problem", journal = j-NUM-MATH, volume = "52", number = "1", pages = "101--117", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (49A29 73E99)", MRnumber = "88j:65262", MRreviewer = "N. Gass", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation)", corpsource = "Cape Town Univ., Rondebosch, South Africa", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problem; boundary-value problems; convergence; convergence of numerical methods; elastoplasticity; finite element analysis; finite element approximations; functional analysis; holonomic elastic-plastic constitutive law; variational inequality; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Akritas:1988:NMC, author = "Alkiviadis G. Akritas", title = "A new method for computing polynomial greatest common divisors and polynomial remainder sequences", journal = j-NUM-MATH, volume = "52", number = "2", pages = "119--127", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "68Q40 (12-04 12D05 68Q25)", MRnumber = "89e:68062", MRreviewer = "Heinrich Rolletschek", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Kansas Univ., Lawrence, KS, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bareiss integer-preserving transformation algorithm; Gaussian elimination; matrix algebra; number theory; polynomial greatest common divisors; polynomial remainder sequences; polynomials; Van Vleck theorem", treatment = "T Theoretical or Mathematical", } @Article{Lubich:1988:CQDa, author = "C. Lubich", title = "Convolution quadrature and discretized operational calculus. {I}", journal = j-NUM-MATH, volume = "52", number = "2", pages = "129--145", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (44A55 65L05 65R20)", MRnumber = "89g:65018", MRreviewer = "Syvert P. N{\o}rsett", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Math. und Geometrie, Innsbruck Univ., Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "calculus; convergence; convergence of numerical methods; convolution quadrature; discretized operational calculus; function approximation; integral equations; integration; Laplace transform; Laplace transforms; linear multistep method; multiple time-scale convolution; numerical approximation; numerical integration; singular integrands; Volterra integral equations; Wiener--Hopf integral equations", treatment = "T Theoretical or Mathematical", } @Article{Feistauer:1988:CMF, author = "Miloslav Feistauer and Alexander {\v{Z}}en{\'i}{\v{s}}ek", title = "Compactness method in the finite element theory of nonlinear elliptic problems", journal = j-NUM-MATH, volume = "52", number = "2", pages = "147--163", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "89b:65263", MRreviewer = "Viorel Arnautu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Charles Univ. Prague, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; bounded nonpolygonal domain; compactness; convergence; convergence of numerical methods; finite element analysis; finite element approximation; function approximation; integration; linear conforming triangular elements; mixed Dirichlet--Neumann boundary conditions; nonlinear differential equations; nonlinear elliptic pseudo-monotone second-order boundary value problem; numerical quadratures; partial differential equations; variational problems", treatment = "T Theoretical or Mathematical", } @Article{Verdi:1988:EES, author = "Claudio Verdi and Augusto Visintin", title = "Error estimates for a semi-explicit numerical scheme for {Stefan-type} problems", journal = j-NUM-MATH, volume = "52", number = "2", pages = "165--185", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N15", MRnumber = "89a:65155", MRreviewer = "David C. Arney", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory)", corpsource = "Dipartimento di Meccanica Strutturale, Pavia Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; error analysis; error estimates; finite element analysis; finite element space discretization; heat transfer; integration; linear algebra; parabolic problem; partial differential equations; quadrature; relaxed equation; semi-explicit numerical scheme; Stefan problem; time discretisation", treatment = "T Theoretical or Mathematical", } @Article{Bernadou:1988:ACC, author = "M. Bernadou and Y. Ducatel and P. Trouv{\'e}", title = "Approximation of a circular cylindrical shell by {Clough-Johnson} flat plate finite elements", journal = j-NUM-MATH, volume = "52", number = "2", pages = "187--217", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K25)", MRnumber = "89b:65257", MRreviewer = "N. Gass", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340 (Classical mechanics of continuous media: general mathematical aspects)", corpsource = "INRIA, Le Chesnay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; classical mechanics of continuous media; Clough-Johnson flat plate finite elements; compatibility conditions; convergence; convergence of numerical methods; finite element analysis; nonconforming finite elements; right circular cylindrical shell", treatment = "T Theoretical or Mathematical", } @Article{Monegato:1988:PIL, author = "G. Monegato and V. Colombo", title = "Product integration for the linear transport equation in slab geometry", journal = j-NUM-MATH, volume = "52", number = "2", pages = "219--240", month = jan, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (65D32)", MRnumber = "88k:65133", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Monegato:1988:EIL}.", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory)", corpsource = "Dipartimento di Matematica, Torino Politecnico, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; discretization; integral equations; integration; linear transport equation; Nystr{\"o}m method; product integration; product quadrature rule; product Simpson rules; slab geometry; transport processes; weights", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1988:LBC, author = "Walter Gautschi and Gabriele Inglese", title = "Lower Bounds for the Condition Number of {Vandermonde} Matrices", journal = j-NUM-MATH, volume = "52", number = "3", pages = "241--250", month = mar, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (15A12)", MRnumber = "89b:65108", MRreviewer = "Ludwig Elsner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "condition number; lower bounds; matrix algebra; node vector; optimal spectral condition numbers; positive elements; real elements; Vandermonde matrices", treatment = "T Theoretical or Mathematical", } @Article{Reusken:1988:CMFa, author = "Arnold Reusken", title = "Convergence of the multigrid full approximation scheme for a class of elliptic mildly nonlinear boundary value problems", journal = j-NUM-MATH, volume = "52", number = "3", pages = "251--277", month = mar, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N50 (65N20)", MRnumber = "89f:65130", MRreviewer = "Randall J. LeVeque", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Math. Inst., State Univ. of Utrecht, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; boundary-value problems; convergence of numerical methods; elliptic mildly nonlinear boundary value problems; local Lipschitz condition; multigrid full approximation scheme; nonlinear differential equations; quantitative convergence", treatment = "T Theoretical or Mathematical", } @Article{Charlier:1988:EIK, author = "J. P. Charlier and M. Vanbegin and P. {Van Dooren}", title = "On efficient implementations of {Kogbetliantz}'s algorithm for computing the singular value decomposition", journal = j-NUM-MATH, volume = "52", number = "3", pages = "279--300", month = mar, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (65N05)", MRnumber = "89b:65092", MRreviewer = "Colette Lebaud", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Philips Res. Lab., Brussels, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "efficient implementations; Jacobi-like; Kogbetliantz algorithm; Kogbetliantz's algorithm; matrix algebra; nla; operation counts; parallel machines; singular value decomposition; svd; timings", treatment = "T Theoretical or Mathematical", } @Article{Jeltsch:1988:CSB, author = "Rolf Jeltsch and Peywand Kiani and Klaus Raczek", title = "Counterexamples to a stability barrier", journal = j-NUM-MATH, volume = "52", number = "3", pages = "301--316", month = mar, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M10", MRnumber = "89b:65213", MRreviewer = "R. Manohar", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Tech. Hochschule Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "advection equation; difference equations; multistep difference schemes; small positive Courant numbers; stability; stability barrier; stable schemes; stencil", treatment = "T Theoretical or Mathematical", } @Article{Peherstorfer:1988:GQF, author = "Franz Peherstorfer", title = "On {Gauss} quadrature formulas with equal weights", journal = j-NUM-MATH, volume = "52", number = "3", pages = "317--327", month = mar, year = "1988", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01398882", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A55 (65D32)", MRnumber = "89c:41025", MRreviewer = "K. Jetter", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "It is well known that the Chebyshev weight function $(1 - x^2)^{-1/2}$ is the only weight function (up to a linear transformation) for which then point Gauss quadrature formula has equal weights for all $n \in \mathbb{N}$. In this paper we describe all weight functions for which the $n m$ point Gauss quadrature formula has equal weights for all $n \in \mathbb{N}$, where $m \in \mathbb{N}$ is fixed.", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Math., J. Kepler Univ., Linz, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; Chebyshev weight function; equal weights; Gauss quadrature formulas", treatment = "T Theoretical or Mathematical", } @Article{Funaro:1988:DDM, author = "Daniele Funaro", title = "Domain decomposition methods for pseudo spectral approximations. {I}. Second order equations in one dimension", journal = j-NUM-MATH, volume = "52", number = "3", pages = "329--344", month = mar, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "89b:65186", MRreviewer = "Erich Bohl", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1320 (Stability); C4130 (Interpolation and function approximation)", corpsource = "Pavia Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; Chebyshev approximation; Chebyshev nodes; convergence; convergence of numerical methods; domain decomposition methods; patching conditions; pseudo spectral approximations; second order boundary value problems; stability", treatment = "T Theoretical or Mathematical", } @Article{Chandler:1988:CNM, author = "G. A. Chandler and I. G. Graham", title = "The convergence of {Nystr{\"o}m} methods for {Wiener--Hopf} equations", journal = j-NUM-MATH, volume = "52", number = "3", pages = "345--364", month = mar, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "89j:65089", MRreviewer = "Jose Cuminato", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Dept. of Math., Queensland Univ., St. Lucia, Qld., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "compact perturbation; composite quadrature rules; convergence of numerical methods; convergence of Nystr{\"o}m methods; convolution operator; integral equations; integral operator; second kind integral equations; Wiener--Hopf equations", treatment = "T Theoretical or Mathematical", } @Article{Moss:1988:NEA, author = "William F. Moss and Philip W. Smith and Joseph D. Ward", title = "Nonlinear eigenvalue approximation", journal = j-NUM-MATH, volume = "52", number = "4", pages = "365--375", month = apr, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (47A56 47A70 65F15)", MRnumber = "89g:65076", MRreviewer = "Alan L. Andrew", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math. Sci., Clemson Univ., SC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach space; convergence of numerical methods; eigenvalues and eigenfunctions; function approximation; functional analysis; holomorphic arithmetic mean. classical Muller method; holomorphic operator; iteration; iterative methods; local convergence; Newton method; nonlinear eigenvalue approximation", treatment = "T Theoretical or Mathematical", } @Article{Hairer:1988:EAS, author = "E. Hairer and C. Lubich", title = "Extrapolation at stiff differential equations", journal = j-NUM-MATH, volume = "52", number = "4", pages = "377--400", month = apr, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "89m:65066", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. de Math., Gen{\`e}ve Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic expansions; differential equations; error analysis; extrapolation; global error; linearly implicit Euler method; linearly implicit mid-point rule; numerical methods; perturbation terms; perturbation theory; stiff differential equations", treatment = "T Theoretical or Mathematical", } @Article{Tsuchiya:1988:EPR, author = "Takuya Tsuchiya", title = "Enlargement procedure for resolution of singularities at simple singular solutions of nonlinear equations", journal = j-NUM-MATH, volume = "52", number = "4", pages = "401--411", month = apr, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (47H17 58B15 58C15 65J15)", MRnumber = "89b:65127", MRreviewer = "Heinz W. Engl", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C4150 (Nonlinear and functional equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Kyushu Univ., Fukuoka, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm theory; convergence of numerical methods; enlargement procedure; finite termination conditions; Frechet derivative; functional analysis; Hilbert spaces; Newton method; nonlinear equations; simple singular solutions", treatment = "T Theoretical or Mathematical", } @Article{Lubich:1988:CQDb, author = "C. Lubich", title = "Convolution quadrature and discretized operational calculus. {II}", journal = j-NUM-MATH, volume = "52", number = "4", pages = "413--425", month = apr, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (65R20)", MRnumber = "89g:65019", MRreviewer = "Syvert P. N{\o}rsett", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Math. und Geometrie, Innsbruck Univ., Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "calculus; convergence of numerical methods; convolution quadrature; discretization; discretized operational calculus; frequency domain conditions; frequency-domain analysis; integral equations; integration; multiple time-scale convolution; numerical integration; operational quadrature rules; singular integrals; stability; Volterra integral equations; Wiener--Hopf integral equations", treatment = "T Theoretical or Mathematical", } @Article{Bank:1988:HBM, author = "Randolph E. Bank and Todd F. Dupont and Harry Yserentant", title = "The Hierarchical Basis Multigrid Method", journal = j-NUM-MATH, volume = "52", number = "4", pages = "427--458", month = apr, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20 (65F10 65N30)", MRnumber = "89b:65247", MRreviewer = "L. W. Ehrlich", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., California Univ., San Diego, La Jolla, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "block symmetric Gauss--Seidel iteration with inner iterations; boundary-value problems; computational complexity; convergence of numerical methods; finite element analysis; hierarchical basis multigrid method; highly nonuniform adaptively refined mesh discretisation; iterative methods; linear algebra; nearly optimal convergence rate; nearly-optimal work estimate; partial differential equations; piecewise linear triangular finite elements; piecewise-linear techniques; self-adjoint elliptic BVP discretisations", treatment = "T Theoretical or Mathematical", } @Article{Dagnino:1988:PIP, author = "C. Dagnino and A. {Palamara Orsi}", title = "Product integration of piecewise continuous integrands based on cubic spline interpolation at equally spaced nodes", journal = j-NUM-MATH, volume = "52", number = "4", pages = "459--466", month = apr, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30", MRnumber = "89d:65023", MRreviewer = "Gheorghe Coman", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dipartimento di Energetica, L'Aquila Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate evaluation; convergence; convergence of numerical methods; cubic spline interpolation; equally spaced nodes; fixed Lebesgue integrable function; function approximation; integration; interpolation; jump discontinuities; logarithmic singularity structure; piecewise continuous integrands; product integration; product quadratures; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Guessab:1988:NCF, author = "A. Guessab", title = "Numerical cubature formulae with preassigned knots", journal = j-NUM-MATH, volume = "52", number = "4", pages = "467--478", month = apr, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "89c:65030", MRreviewer = "M. M. Chawla", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. de Math., Pau Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "compact subsets; integration; numerical cubature formulae; numerical methods; orthogonal polynomial theory; polynomials; polynomials of two variables; preassigned knots; weight function", treatment = "T Theoretical or Mathematical", } @Article{Balla:1988:ERH, author = "Katalin Balla and M{\'a}ria Vicsek", title = "Erratum: {``On the reduction of Holt's problem to a finite interval''}", journal = j-NUM-MATH, volume = "52", number = "4", pages = "479--479", month = apr, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "89g:65097b", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Balla:1987:RHP}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Golub:1988:OPH, author = "Gene H. Golub and Richard S. Varga", title = "Obituary to {Peter Henrici (13. September 1923--13. March 1987)}", journal = j-NUM-MATH, volume = "52", number = "5", pages = "481--482", month = may, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "01A70", MRnumber = "89i:01077", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Csordas:1988:LBB, author = "G. Csordas and T. S. Norfolk and R. S. Varga", title = "A lower bound for the de {Bruijn-Newman} constant ${\Lambda}$", journal = j-NUM-MATH, volume = "52", number = "5", pages = "483--497", month = may, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30D10 (11Y35 65E05)", MRnumber = "89m:30054", MRreviewer = "G. Opfer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Hawaii Univ., Honolulu, HI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bruijn-Newman constant; integral equations; Jensen polynomial; lower bound; nonreal zeros; poles and zeros; polynomials; Riemann hypothesis", treatment = "T Theoretical or Mathematical", } @Article{Ellacott:1988:CMG, author = "S. W. Ellacott and E. B. Saff", title = "On {Clenshaw}'s Method and a Generalisation to {Faber} Series", journal = j-NUM-MATH, volume = "52", number = "5", pages = "499--509", month = may, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "34A25 (65D15 65E05)", MRnumber = "89i:34008", MRreviewer = "R. C. Varma", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inf. Technol. Res. Inst., Brighton Polytech., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; Chebyshev series; Clenshaw; complex plane; conformal map; differential equations; Faber series; Laurent series; linear ordinary differential equations; polynomials; series (mathematics)", mynote = "Typo in title! The correct `Clenshaw's' appears in the text.", treatment = "T Theoretical or Mathematical", } @Article{Frommer:1988:CBN, author = "Andreas Frommer", title = "Comparison of {Brown}'s and {Newton}'s method in the monotone case", journal = j-NUM-MATH, volume = "52", number = "5", pages = "511--521", month = may, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (90C30)", MRnumber = "89f:65060", MRreviewer = "Florica Luban", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Brown method; convergence of numerical methods; converges; iterates; iterative methods; monotone case; monotonically decreasing sequence; natural partial ordering; Newton method; nonlinear equations; nonlinear system", treatment = "T Theoretical or Mathematical", } @Article{Auzinger:1988:QDR, author = "Winfried Auzinger", title = "A quantitative discrete {$H^2$}-regularity estimate for the {Shortley--Weller} scheme in convex domains", journal = j-NUM-MATH, volume = "52", number = "5", pages = "523--537", month = may, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N99", MRnumber = "89g:65152", MRreviewer = "Ji{\v{r}}{\'i} H{\v{r}}eb{\'i}{\v{c}}ek", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte und Numerische Math., Tech. Univ. Wien, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounded convex domains; convergence; convergence of numerical methods; convex domains; discretization; function approximation; H/sup 2/-regularity estimate; homogeneous Dirichlet boundary condition; mesh size; Poisson equation; regularity constant; Shortley--Weller scheme", treatment = "T Theoretical or Mathematical", } @Article{Blum:1988:ETR, author = "H. Blum and R. Rannacher", title = "Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method", journal = j-NUM-MATH, volume = "52", number = "5", pages = "539--564", month = may, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "89e:65117", MRreviewer = "T. R. Hopkins", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Math., Univ. des Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error expansion; boundary value problems; boundary-value problems; corner singularities; extrapolation; extrapolation procedure; finite element analysis; finite element method; fractional powers; mesh size parameter; pollution effect; reentrant corners; stress intensity factors", treatment = "T Theoretical or Mathematical", } @Article{Moore:1988:DCG, author = "Gerald Moore", title = "Defect correction from a {Galerkin} viewpoint", journal = j-NUM-MATH, volume = "52", number = "5", pages = "565--582", month = may, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L60", MRnumber = "89e:65084", MRreviewer = "L. Greenberg", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Imperial Coll. of Sci. and Technol., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; defect corrections; Galerkin; initial solution; nonlinear equations; nonlinear two point boundary value problems; numerical integration; numerical solution; piecewise linear approximating functions; piecewise polynomials; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Elfving:1988:ACC, author = "Tommy Elfving and Lars-Erik Andersson", title = "An algorithm for computing constrained smoothing spline functions", journal = j-NUM-MATH, volume = "52", number = "5", pages = "583--595", month = may, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07 (41A15)", MRnumber = "90c:65021", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Link{\"o}ping Univ., Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constrained smoothing spline functions; convexity; ideal data; interpolation; interpolation methods; monotonity; Newton-type algorithm; noisy data; numerical experiments; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Schneider:1988:ARQ, author = "Claus Schneider", title = "An analysis of {Ralston}'s quadrature", journal = j-NUM-MATH, volume = "52", number = "5", pages = "597--603", month = may, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (41A55)", MRnumber = "89h:65041", MRreviewer = "Hans Strauss", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Fachbereich Math., Johannes Gutenberg-Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "composite rules; computable expressions; Gaussian formulas; integration; knots; Newton Cotes formula; polynomials; Ralston quadrature; remainder; weights", treatment = "T Theoretical or Mathematical", } @Article{Kohaupt:1988:EEE, author = "Ludwig Kohaupt", title = "Erratum: {{``Optimal $L^\infty$-error estimates for piecewise linear finite elements in ${\bf R}^n$ for $1\leq n\leq 3$''} [Numer. Math. {\bf 50} (1987), no. 3, 353--362 and MR 88i:65131]}", journal = j-NUM-MATH, volume = "52", number = "5", pages = "604--604", month = may, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "89d:65100", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Kohaupt:1987:OEE}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bellen:1988:SAO, author = "A. Bellen and Z. Jackiewicz and M. Zennaro", title = "Stability analysis of one-step methods for neutral delay-differential equations", journal = j-NUM-MATH, volume = "52", number = "6", pages = "605--619", month = jun, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20", MRnumber = "89h:65134", MRreviewer = "David K. Kahaner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dipartimento di Sci. Matematiche, Trieste Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "A-stable collocation method; approximation; convergence of numerical methods; delay-differential systems; differential equations; function approximation; functional equations; neutral delay-differential equations; neutral functional-differential equations; NP-stable method; numerical methods; one-step methods; Runge--Kutta methods; stability properties", treatment = "T Theoretical or Mathematical", } @Article{Bruder:1988:PAR, author = "J{\"u}rgen Bruder and Karl Strehmel and R{\"u}diger Weiner", title = "Partitioned adaptive {Runge--Kutta} methods for the solution of {nonstiff} and stiff systems", journal = j-NUM-MATH, volume = "52", number = "6", pages = "621--638", month = jun, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "89d:65067", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Sektion Math., Halle Univ., East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "automatic stiffness detection; Butcher series; differential equations; explicit Runge--Kutta method; extrapolation; initial value problems; nonstiff system; numerical methods; numerical solution; ordinary differential equations; partitioned adaptive Runge--Kutta methods; Richardson-extrapolation; Runge--Kutta methods; series (mathematics); stepsize control; stiff systems", treatment = "T Theoretical or Mathematical", } @Article{Dahmen:1988:CSF, author = "W. Dahmen and T. N. T. Goodman and Charles A. Micchelli", title = "Compactly supported fundamental functions for spline interpolation", journal = j-NUM-MATH, volume = "52", number = "6", pages = "639--664", month = jun, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07", MRnumber = "89i:65011", MRreviewer = "A. Bleyer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. for Math. III, Freie Univ. Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "compactly supported fundamental functions; interpolation; local interpolation; locally supported fundamental splines; numerical methods; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Heinig:1988:FIA, author = "G. Heinig and P. Jankowski and K. Rost", title = "Fast inversion algorithms of {Toeplitz-plus-Hankel} matrices", journal = j-NUM-MATH, volume = "52", number = "6", pages = "665--682", month = jun, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (15A09 15A57)", MRnumber = "89j:65054", MRreviewer = "V. S. Zaja{\v{c}}kovski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Tech. Univ. Karl-Marx-Stadt, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary strongly nonsingular matrices; computational complexity; fast matrix inversion algorithms; matrix algebra; Toeplitz-plus-Hankel matrices", treatment = "T Theoretical or Mathematical", } @Article{SacchiLandriani:1988:STA, author = "Giovanni {Sacchi Landriani}", title = "Spectral tau approximation of the two-dimensional {Stokes} problem", journal = j-NUM-MATH, volume = "52", number = "6", pages = "683--699", month = jun, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76-08 (35Q20 65N30 76D07)", MRnumber = "90a:76027", MRreviewer = "Mutsuto Kawahara", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods)", corpsource = "Istituto di Analisi Numerica, CNR, Pavia, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; convergence; convergence of numerical methods; Dirichlet boundary conditions; discrete Stokes problem; error analysis; error estimate; function approximation; functional analysis; Navier--Stokes equations; polynomial divergence free vector fields; Sobolev space; spectral analysis; spectral Tau method; two-dimensional Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{Parter:1988:EMM, author = "Seymour V. Parter", title = "Estimates for multigrid methods based on red-black {Gauss--Seidel} smoothings", journal = j-NUM-MATH, volume = "52", number = "6", pages = "701--723", month = jun, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20", MRnumber = "89e:65113", MRreviewer = "S. Galanis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Wisconsin Univ., Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; convex polygonal domains; Dirichlet boundary conditions; discrete Poisson equation; error analysis; finite element analysis; interpolation; iterative methods; multigrid methods; numerical upper bounds; partial differential equations; red-black Gauss--Seidel smoothings; W-cycle estimates", treatment = "T Theoretical or Mathematical", } @Article{Aziz:1988:NMR, author = "A. K. Aziz and A. B. Stephens and Manil Suri", title = "Numerical methods for reaction-diffusion problems with non-differentiable kinetics", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "1--11", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89e:65116", MRreviewer = "Ian Gladwell", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A8220 (Chemical kinetics)", corpsource = "Inst. for Phys. Sci. and Technol., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; error bounds; finite element method; nondifferentiable kinetics; numerical methods; reaction kinetics theory; reaction-diffusion problems", treatment = "T Theoretical or Mathematical", } @Article{Arnold:1988:NMF, author = "Douglas N. Arnold and Richard S. Falk", title = "A new mixed formulation for elasticity", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "13--30", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89f:73020", MRreviewer = "N. Gass", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0340D (Mathematical theory of elasticity)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "elasticity; linear elasticity; mixed finite elements; mixed formulation; scalar second order elliptic equations; variational formulation; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Szymczak:1988:MDS, author = "W. G. Szymczak and J. M. Solomon and A. E. Berger and J. B. Bell", title = "Multiple discrete solutions of the incompressible steady-state {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "31--50", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89k:65143", MRreviewer = "M. M. Sussman", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods)", corpsource = "Appl. Math. Branch, Naval Surface Warfare Center, Silver Spring, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "discrete flow field; discretizations; incompressible steady-state Navier--Stokes equations; mesh spacing; mixed discrete solutions; Navier--Stokes equations; pseudo arc-length continuation procedure; Reynolds number", treatment = "T Theoretical or Mathematical", } @Article{Vasilopoulos:1988:DHO, author = "D. Vasilopoulos", title = "On the determination of higher order terms of singular elastic stress fields near corners", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "51--95", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89h:65193", MRreviewer = "John Stephenson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0340D (Mathematical theory of elasticity); A4630C (Elasticity)", corpsource = "Dept. of Eng. Mech., General Motors Res. Lab., Warren, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "brittle fracture; corners; crack initiation; eigenvalues; elasticity; extraction techniques; higher order terms; polar coordinates; roots of a transcendental equation; singular elastic stress fields; stress analysis; symmetric mode of deformation", treatment = "T Theoretical or Mathematical", } @Article{Socolovsky:1988:NAF, author = "E. A. Socolovsky", title = "On the numerical approximation of finite speed diffusion problems", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "97--105", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89h:65191", MRreviewer = "Reinhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0560 (Transport processes: theory); A4430 (Heat transfer in inhomogeneous media and through interfaces); A4755M (Flow through porous media)", corpsource = "Dept. of Math., Connecticut Univ., Storrs, CT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy problems; finite element discretizations; finite speed diffusion problems; flow through porous media; generalised heat equations; heat transfer; interface tracking finite difference; Lagrangian formulation; mixed Euler--Lagrange formulations; numerical approximation; numerical methods; porous-media equations; Stefan problem", treatment = "T Theoretical or Mathematical", } @Article{Aziz:1988:TPB, author = "A. K. Aziz and R. B. Kellogg and A. B. Stephens", title = "A two point boundary value problem with a rapidly oscillating solution", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "107--121", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "90a:65170", MRreviewer = "C. P. Katti", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A0340K (Waves and wave propagation: general mathematical aspects)", corpsource = "Inst. for Phys. Sci. and Technol., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; numerical methods; rapidly oscillating solution; reduced wave equation; two point boundary value problem; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Franca:1988:NFS, author = "Leopoldo P. Franca and Thomas J. R. Hughes and Abimael F. D. Loula and Isidoro Miranda", title = "A new family of stable elements for nearly incompressible elasticity based on a mixed {Petrov--Galerkin} finite element formulation", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "123--141", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89f:65122", MRreviewer = "P. Rochus", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity); A4710 (General theory, simulation and other computational methods)", corpsource = "Div. of Appl. Mech., Stanford Univ., CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Babu{\v{s}}ka--Brezzi theory; continuous displacement interpolations; displacement interpolations; elasticity; equilibrium equation; error estimates; finite element analysis; flow; mixed Petrov--Galerkin finite element formulation; nearly incompressible elasticity; stability; stable elements; stress", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Ying:1988:RAP, author = "Xingren Ying and I. Norman Katz", title = "A reliable argument principle algorithm to find the number of zeros of an analytic function in a bounded domain", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "143--163", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89g:65068", MRreviewer = "A. Bultheel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Dept. of Syst. Sci. and Math., Washington Univ., St. Louis, MO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic function; bounded domain; closed contour; discretization; mathematical theorems; number of zeros; parallel algorithms; poles and zeros; reliable argument principle algorithm", treatment = "T Theoretical or Mathematical", } @Article{Rheinboldt:1988:CMS, author = "Werner C. Rheinboldt", title = "On the computation of multi-dimensional solution manifolds of parameterized equations", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "165--181", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89f:65062", MRreviewer = "R. Kodn{\'a}r", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Dept. of Math. and Stat., Pittsburgh Univ., PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computation; computational geometry; constructive algorithm; Gauss--Newton process; Jacobian matrix; multidimensional solution manifolds; nonlinear mapping; orthonormal bases; parameterized equations; simplicial triangulation; vertices", treatment = "T Theoretical or Mathematical", } @Article{Adjerid:1988:SOF, author = "Slimane Adjerid and Joseph E. Flaherty", title = "Second-order finite element approximations and a posteriori error estimation for two-dimensional parabolic systems", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "183--198", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89i:65110", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori error estimation; adaptive local refinement; computational efficiency; finite element analysis; Galerkin approach; partial differential equations; piecewise eight-node serendipity functions; piecewise fifth degree polynomials; polynomials; second order finite element approximations; spatial discretization error; stiff differential systems; two-dimensional parabolic systems; vector systems", treatment = "T Theoretical or Mathematical", } @Article{Guo:1988:VFE, author = "Ben Qi Guo", title = "The $h$-$p$ version of the finite element method for elliptic equations of order $2m$", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "199--224", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89j:65072", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$h$-$p$ version; elliptic equations; elliptic partial differential equations; finite element analysis; finite element method; order 2m; partial differential equations; piecewise analytic; plates; shells; weighted Sobolev norms", treatment = "T Theoretical or Mathematical", } @Article{Brezzi:1988:SMM, author = "Franco Brezzi and Jim {Douglas, Jr.}", title = "Stabilized mixed methods for the {Stokes} problem", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "225--235", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89g:65138", MRreviewer = "R. N. Pandey", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods)", corpsource = "Dipartimento di Meccanica Strutturale, Pavia Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bilinear form; error estimates; flow; saddle-point problem; stabilised mixed methods; Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{Pitkaranta:1988:ASL, author = "Juhani Pitk{\"a}ranta", title = "Analysis of some low-order finite element schemes for {Mindlin--Reissner} and {Kirchhoff} plates", journal = j-NUM-MATH, volume = "53", number = "1/2", pages = "237--254", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "89f:65126", MRreviewer = "Ji{\v{r}}{\'i} Nedoma", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "classical mechanics of continuous media; finite element analysis; Kirchhoff plates; low-order finite element schemes; mesh dependent energy norm; Mindlin--Reissner plates", treatment = "T Theoretical or Mathematical", } @Article{Lou:1988:PPM, author = "Gang Lou and Shih-Ping Han", title = "A parallel projection method for solving generalized linear least-squares problems", journal = j-NUM-MATH, volume = "53", number = "3", pages = "255--264", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (90C25)", MRnumber = "89g:65034", MRreviewer = "Tudor Dumitrescu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Illinois Univ., Urbana, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "affine mapping; closed convex cone; convergence results; generalized linear least-squares problems; iterative methods; least squares approximations; minimisation; parallel algorithms; parallel projection method", treatment = "T Theoretical or Mathematical", } @Article{Eiermann:1988:SSL, author = "Michael Eiermann and Ivo Marek and Wilhelm Niethammer", title = "On the solution of singular linear systems of algebraic equations by semi-iterative methods", journal = j-NUM-MATH, volume = "53", number = "3", pages = "265--283", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65F20)", MRnumber = "89h:65049", MRreviewer = "Zden{\v{e}}k Dost{\'a}l", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Praktische Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic equations; Drazin inverse; eigenvalues; eigenvalues and eigenfunctions; iterative methods; least squares approximations; least squares solution; matrix algebra; necessary and sufficient conditions; nonlinear elementary divisors; semiiterative methods; singular linear systems; square matrix", treatment = "T Theoretical or Mathematical", } @Article{Jacobsen:1988:CAL, author = "Lisa Jacobsen and Haakon Waadeland", title = "Convergence acceleration of limit periodic continued fractions under asymptotic side conditions", journal = j-NUM-MATH, volume = "53", number = "3", pages = "285--298", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B99 (30B70 40A15)", MRnumber = "89h:65010", MRreviewer = "Claude Brezinski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Math. and Stat., Trondheim Univ., Dragvoll, Norway", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic side conditions; convergence acceleration; convergence of numerical methods; hypergeometric functions; limit periodic continued fractions; regular C-fraction expansions", treatment = "T Theoretical or Mathematical", } @Article{Ruotsalainen:1988:BEM, author = "K. Ruotsalainen and W. Wendland", title = "On the boundary element method for some nonlinear boundary value problems", journal = j-NUM-MATH, volume = "53", number = "3", pages = "299--314", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "89h:65189", MRreviewer = "H. D. Mittelmann", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Fac. of Technol., Oulu Univ., Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary element method; boundary integral operator; boundary-value problems; convergence; Galerkin method; integral equations; Laplacian; Leray-Schauder fixed-point arguments; monotonous Hammerstein operator; nonlinear boundary value problems; spline Galerkin approximations; splines (mathematics); stability", treatment = "T Theoretical or Mathematical", } @Article{Amrouche:1988:MAM, author = "Ch{\'e}rif Amrouche and Vivette Girault", title = "Une m{\'e}thode d'approximation mixte des {\'e}quations des fluides non newtoniens de troisi{\`e}me grade. ({French}) [{Mixed} approximations of the equations of non-{Newtonian} fluids of grade three]", journal = j-NUM-MATH, volume = "53", number = "3", pages = "315--349", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65P05 (76-08 76A05)", MRnumber = "89h:65210", MRreviewer = "C. Wayne Mastin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods); A4750 (Non-Newtonian dynamics)", corpsource = "Univ. Pierre et Marie Curie, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "grade three; Hood-Taylor finite element method; incompressible fluid; mixed approximation; Navier--Stokes equations; non-Newtonian flow; non-Newtonian fluids; two-dimensional equations", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Qiao:1988:HAF, author = "San Zheng Qiao", title = "Hybrid algorithm for fast {Toeplitz} orthogonalization", journal = j-NUM-MATH, volume = "53", number = "3", pages = "351--366", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F25", MRnumber = "90b:65074", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math./Comput. Sci., Ithaca Coll., NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "fast-Toeplitz orthogonalization; hybrid algorithm; matrix algebra; QR decomposition; shift invariance property", treatment = "T Theoretical or Mathematical", } @Article{LopezdeSilanes:1988:EEA, author = "M. C. {L{\'o}pez de Silanes} and D. Apprato", title = "Estimations de l'erreur d'approximation sur un domaine born{\'e} de ${\bf R}^n$ par ${D}^m$-splines d'interpolation et d'ajustement discr{\`e}tes. ({French}) [{Approximation} error estimates on a bounded domain in ${\bf R}^n$ for interpolating and smoothing discrete ${D}^m$-splines ]", journal = j-NUM-MATH, volume = "53", number = "3", pages = "367--376", month = jul, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (41A65 65D07)", MRnumber = "89g:41009", MRreviewer = "D. Zwick", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Matematica Aplicada, ETSII., Zaragoza, Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate error estimates; approximation theory; bounded domain; interpolation; smoothing; splines; splines (mathematics)", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Dunn:1988:PNM, author = "J. C. Dunn", title = "A projected {Newton} method for minimization problems with nonlinear inequality constraints", journal = j-NUM-MATH, volume = "53", number = "4", pages = "377--409", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C30 (65K05)", MRnumber = "89g:90189", MRreviewer = "T. Y. Li", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cartesian products; Euclidean balls; Kuhn--Tucker sufficient conditions; minimisation; minimization problems; nonlinear inequality constraints; nonlinear programming; nonlinear programs; optimal control problems; polyhedrons; projected Newton method", treatment = "T Theoretical or Mathematical", } @Article{Reimer:1988:OIR, author = "Manfred Reimer", title = "Optimal interval refinement near singularities", journal = j-NUM-MATH, volume = "53", number = "4", pages = "411--422", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15", MRnumber = "90b:65028", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Fachbereich Math., Dortmund Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximability; asymptotic expression; difference equations; nonlinear difference equation; optimal partition; polynomials; real analytic function; singularities", treatment = "T Theoretical or Mathematical", } @Article{Zennaro:1988:NRK, author = "Marino Zennaro", title = "Natural {Runge--Kutta} and projection methods", journal = j-NUM-MATH, volume = "53", number = "4", pages = "423--438", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "89h:65119", MRreviewer = "Jack Williams", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dipartimento di Matematica e Inf., Udine Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "characterization; collocation methods; natural Runge--Kutta method; polynomial spaces; projection methods; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Vermiglio:1988:NCE, author = "R. Vermiglio", title = "Natural continuous extensions of {Runge--Kutta} methods for {Volterra} integrodifferential equations", journal = j-NUM-MATH, volume = "53", number = "4", pages = "439--458", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (65L99)", MRnumber = "90a:65285", MRreviewer = "Rolf Jeltsch", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dipartimento di Matematica e Inf., Udine Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "integro-differential equations; natural continuous extensions; numerical solution; piecewise polynomial functions; polynomials; Runge--Kutta methods; Volterra integrodifferential equations", treatment = "T Theoretical or Mathematical", } @Article{Suli:1988:CNS, author = "Endre S{\"u}li", title = "Convergence and nonlinear stability of the {Lagrange--Galerkin} method for the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "53", number = "4", pages = "459--483", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35Q10)", MRnumber = "90b:65214", MRreviewer = "Goong Chen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods)", corpsource = "Comput. Lab., Oxford Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convection-dominated diffusion problems; convergence; finite element analysis; finite element method; Lagrange--Galerkin method; Navier--Stokes equations; nonlinear stability; numerical technique; optimal error estimates; particle trajectories; stability", treatment = "T Theoretical or Mathematical", } @Article{Evans:1988:EGS, author = "D. J. Evans and C. Li", title = "Extrapolated {Gauss--Seidel} 1 and {SOR} methods for least-squares problems", journal = j-NUM-MATH, volume = "53", number = "4", pages = "485--498", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "89g:65030", MRreviewer = "Zuhe Shen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Studies, Loughborough Univ. of Technol., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2-block DJ; 2-block SOR; 3-block EGS1-SI; convergence of numerical methods; extrapolated Gauss--Seidel 1 method; extrapolation; geodetic applications; large-scale over-determined systems; least squares approximations; least-squares problems; linear equations; SOR methods; Successive Overrelaxation", treatment = "T Theoretical or Mathematical", } @Article{Saranen:1988:CED, author = "J. Saranen", title = "The convergence of even degree spline collocation solution for potential problems in smooth domains of the plane", journal = j-NUM-MATH, volume = "53", number = "5", pages = "499--512", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N35", MRnumber = "89h:65199", MRreviewer = "John Stephenson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fac. of Technol., Oulu Univ., Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence; convergence of numerical methods; error estimates; even degree spline collocation solution; numerical examples; plane; potential problems; smooth domains; splines (mathematics); trial functions", treatment = "T Theoretical or Mathematical", } @Article{Stenberg:1988:FMF, author = "Rolf Stenberg", title = "A family of mixed finite elements for the elasticity problem", journal = j-NUM-MATH, volume = "53", number = "5", pages = "513--538", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73-08 73C02)", MRnumber = "89h:65192", MRreviewer = "W. F. Ames", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630C (Elasticity)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "displacement; elasticity; elasticity problem; error estimates; finite element analysis; Lagrange multiplier; mixed finite elements; Poisson ratio; postprocessing scheme; rotation; unsymmetric stress tensor", treatment = "T Theoretical or Mathematical", } @Article{Wendland:1988:ABE, author = "W. L. Wendland and De-hao Yu", title = "Adaptive boundary element methods for strongly elliptic integral equations", journal = j-NUM-MATH, volume = "53", number = "5", pages = "539--558", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65R20)", MRnumber = "89h:65194", MRreviewer = "R. S. Anderssen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Math. Inst. A, Stuttgart Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a-posteriori error estimates; boundary integral equations; boundary-elements methods; elliptic boundary value problems; error analysis; integral equations; nodal collocation; nonlocal operators; numerical examples; odd degree splines; pseudo-differential operators; splines (mathematics); strongly elliptic integral equations", treatment = "T Theoretical or Mathematical", } @Article{Eirola:1988:WDM, author = "Timo Eirola and Olavi Nevanlinna", title = "What do multistep methods approximate?", journal = j-NUM-MATH, volume = "53", number = "5", pages = "559--569", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "89i:65069", MRreviewer = "L. F. Shampine", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; hyperbolic periodic solution; initialization routine; invariant circles; iterative methods; mapping; multistep methods; ODEs; starting points; strictly stable methods; vector field", treatment = "P Practical", } @Article{Golub:1988:CIC, author = "Gene H. Golub and Michael L. Overton", title = "The Convergence of Inexact {Chebyshev} and {Richardson} Iterative Methods for Solving Linear Systems", journal = j-NUM-MATH, volume = "53", number = "5", pages = "571--593", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "90b:65054", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/gvl.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{govl:89}.", classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Stanford Univ., CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; convergence; convergence of numerical methods; error analysis; error bound; experimentation; inexactness; iter; iterative methods; linear algebra; linear system; linear systems; measurement; nla; nonsymmetric inexact Chebyshev iteration; numerical experiments; performance; preconditioned iteration; Richardson iterative methods; skew-symmetric iteration; spectral radius; theory; verification", subject = "G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods)", treatment = "T Theoretical or Mathematical", } @Article{DeMatteis:1988:PRN, author = "A. {De Matteis} and S. Pagnutti", title = "Parallelization of random number generators and long-range correlations", journal = j-NUM-MATH, volume = "53", number = "5", pages = "595--608", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65C10 (11K45 65W05)", MRnumber = "89h:65016", MRreviewer = "Norbert Schmitz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1140G (Monte Carlo methods); C4190 (Other numerical methods)C7310 (Mathematics)", corpsource = "Lab. Matematica Appl., ENEA, Bologna, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "congruential schemes; long-range correlations; Monte Carlo methods; Monte Carlo problem; number theoretic framework; parallel algorithms; parallelization; pseudo-random sequences; random number generation; random number generators", treatment = "P Practical", } @Article{Novak:1988:SPQ, author = "Erich Novak", title = "Stochastic properties of quadrature formulas", journal = j-NUM-MATH, volume = "53", number = "5", pages = "609--620", month = aug, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "89i:65026", MRreviewer = "J. Spanier", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Math. Inst., Erlangen-N{\"u}rnberg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive methods; average error; cardinality; error analysis; integral equations; integration; Monte Carlo methods; numerical analysis; quadrature formulas; stochastic error", treatment = "T Theoretical or Mathematical", } @Article{Kirchgraber:1988:OSB, author = "U. Kirchgraber", title = "An {ODE-solver} based on the method of averaging", journal = j-NUM-MATH, volume = "53", number = "6", pages = "621--652", month = sep, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (70M05)", MRnumber = "89k:65086", MRreviewer = "J. M. Sanz-Serna", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Swiss Federal Inst. of Technol., ETH, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic analysis; celestial mechanics; differential equations; error analysis; long-term integration; method of averaging; nonlinear oscillations; numerical methods; ODE-solver; periodic solutions", treatment = "T Theoretical or Mathematical", } @Article{Burmeister:1988:OCS, author = "W. Burmeister and Jochen W. Schmidt", title = "On the {$R$}-order of coupled sequences arising in single-step type methods", journal = j-NUM-MATH, volume = "53", number = "6", pages = "653--661", month = sep, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H99", MRnumber = "89h:65086", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Tech. Univ. of Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; coupled sequences; linear inequalities; linear systems; minimal spectral radius; positive solvability; R-convergence order; single-step type methods", treatment = "T Theoretical or Mathematical", } @Article{Reusken:1988:CMFb, author = "Arnold Reusken", title = "Convergence of the multilevel full approximation scheme including the ${V}$-cycle", journal = j-NUM-MATH, volume = "53", number = "6", pages = "663--686", month = sep, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (47H17 65N30)", MRnumber = "89k:65072", MRreviewer = "Simeon Reich", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Utrecht Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; FAS ML algorithms; iterative methods; linearisation techniques; local quantitative convergence statements; multilevel full approximation scheme; nested iteration; nonlinear boundary value problems; numerical methods; post-smoothing; pre-smoothing; V-cycles", treatment = "T Theoretical or Mathematical", } @Article{Reddy:1988:CMF, author = "B. D. Reddy", title = "Convergence of mixed finite element approximations for the shallow arch problem", journal = j-NUM-MATH, volume = "53", number = "6", pages = "687--699", month = sep, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K25)", MRnumber = "89h:65188", MRreviewer = "N. Gass", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); B0290F (Interpolation and function approximation); C4100 (Numerical analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Cape Town Univ., Rondebosch, South Africa", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "axial strains; convergence of numerical methods; finite element analysis; Lagrange multipliers; mixed finite element approximations; mixed formulation; polynomial interpolation; shallow arch problem; thin shallow elastic arches", treatment = "T Theoretical or Mathematical", } @Article{Hennart:1988:CMD, author = "Jean-Pierre Hennart and J{\'e}r\^ome Jaffre and Jean Elizabeth Roberts", title = "A constructive method for deriving finite elements of nodal type", journal = j-NUM-MATH, volume = "53", number = "6", pages = "701--738", month = sep, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "89g:65144", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "IIMAS Univ. Nacional Autonoma de Mexico, Mexico City, Mexico", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "BDM type; finite element analysis; finite elements of nodal type; three dimensional nodal scheme; unisolvence", treatment = "T Theoretical or Mathematical", } @Article{Monegato:1988:EIL, author = "G. Monegato and V. Colombo", title = "Erratum: {{``Product integration for the linear transport equation in slab geometry''} [Numer. Math. {\bf 52} (1988), no. 2, 219--240 and MR 88k:65133]}", journal = j-NUM-MATH, volume = "53", number = "6", pages = "739--739", month = sep, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (65D32 82A70)", MRnumber = "89g:65169", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Monegato:1988:PIL}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Todd:1988:MLM, author = "John Todd", title = "The many limits of mixed means. {II}. The {Carlson} sequences", journal = j-NUM-MATH, volume = "54", number = "1", pages = "1--18", month = oct, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "40A05 (65Q05)", MRnumber = "90b:40003", MRreviewer = "E. R. Love", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0200 (Engineering mathematics and mathematical techniques); C1100 (Mathematical techniques)", corpsource = "California Inst. of Technol., Pasadena, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arithmetic geometric sequences; functions; lemniscate functions; mixed means; series (mathematics); theta functions", treatment = "T Theoretical or Mathematical", } @Article{Bjorck:1988:DMS, author = "{\AA}ke Bj{\"o}rck", title = "A direct method for sparse least squares problems with lower and upper bounds", journal = j-NUM-MATH, volume = "54", number = "1", pages = "19--32", month = oct, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20", MRnumber = "90a:65092", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, annote = "Cited in {\AA ke Bj\"orck}'s bibliography on least squares, which is available by anonymous ftp from {\tt math.liu.se} in {\tt pub/references}.", classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Link{\"o}ping Univ., Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constraints; direct method; iterative refinement; least squares approximations; linear least squares problems; lower and upper bounds; lsq; matrix algebra; nla; sparse", treatment = "T Theoretical or Mathematical", } @Article{Lubinsky:1988:PSE, author = "D. S. Lubinsky", title = "Power series equivalent to rational functions: a shifting-origin {Kronecker} type theorem, and normality of {Pad{\'e}} tables", journal = j-NUM-MATH, volume = "54", number = "1", pages = "33--39", month = oct, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30B10 (30B70 41A21)", MRnumber = "89g:30003", MRreviewer = "H.-J. Runckel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Center for Adv. Comput. and Decision Support, CSIR, Pretoria, South Africa", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function analytic; function approximation; functional analysis; Pad{\'e} approximants; Pad{\'e} tables; rational function; rational functions; shifting origin", treatment = "T Theoretical or Mathematical", } @Article{Sloan:1988:QBA, author = "Ian H. Sloan", title = "A quadrature-based approach to improving the collocation method", journal = j-NUM-MATH, volume = "54", number = "1", pages = "41--56", month = oct, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "89k:65165", MRreviewer = "G. A. Evans", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Math. Inst. A, Stuttgart Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "1-periodic functions; approximate solution; boundary integral equations; boundary-value problems; collocation method; convergence; integral equations; quadrature; quadrature-based; smooth-spline; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Chan:1988:IMO, author = "R. H. Chan", title = "Iterative methods for overflow queuing models. {II}", journal = j-NUM-MATH, volume = "54", number = "1", pages = "57--78", month = oct, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90B22 (60K25)", MRnumber = "89g:90108", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0240C (Queueing theory); B0290H (Linear algebra); C1140C (Queueing theory); C4140 (Linear algebra)", corpsource = "Dept. of Math., Hong Kong Univ., Hong Kong", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradient methods; convergence; convergence of numerical methods; iterations; iterative methods; Markovian queuing networks; overflow capacity; queueing theory; steady-state probability", treatment = "T Theoretical or Mathematical", } @Article{Hanke:1988:LSC, author = "Michael Hanke", title = "On a least-squares collocation method for linear differential-algebraic equations", journal = j-NUM-MATH, volume = "54", number = "1", pages = "79--90", month = oct, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "90a:65174", MRreviewer = "T. Feagin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Sektion Math., Humboldt Univ., Berlin, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; differential equations; differential-algebraic equations; least squares approximations; least-squares collocation; linear differential-algebraic equations", treatment = "T Theoretical or Mathematical", } @Article{Schock:1988:PRA, author = "Eberhard Schock", title = "Pointwise rational approximation and iterative methods for ill-posed problems", journal = j-NUM-MATH, volume = "54", number = "1", pages = "91--103", month = oct, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (65D15)", MRnumber = "90a:65132", MRreviewer = "Lucas J{\'o}dar", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Math., Kaiserslautern Univ., East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; function approximation; ill-posed problems; iterative methods; linear equations; pointwise approximation; rational approximation; rational functions; zero function", treatment = "T Theoretical or Mathematical", } @Article{Frommer:1988:UAM, author = "Andreas Frommer", title = "A unified approach to methods for the simultaneous computation of all zeros of generalized polynomials", journal = j-NUM-MATH, volume = "54", number = "1", pages = "105--116", month = oct, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05 (90C30)", MRnumber = "90f:65071", MRreviewer = "B. T. Polyak", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0290F (Interpolation and function approximation); C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; exponential polynomials; generalized polynomials; Haar's condition; nonlinear equations; ordinary polynomials; poles and zeros; polynomials; quadratic convergence; trigonometric polynomials", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1988:MRE, author = "Ned Anderson", title = "Minimum relative error approximations for $ 1 / t $", journal = j-NUM-MATH, volume = "54", number = "2", pages = "117--124", month = nov, year = "1988", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396969", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15", MRnumber = "90a:65037", MRreviewer = "Mariano Gasca", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Corp. Res., Digital Equipment Corp., Hudson, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; functional equation; geometric convergence rates; iterative methods; minimum relative error approximations; polynomial approximations; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Menke:1988:PSE, author = "Klaus Menke", title = "Point systems with extremal properties and conformal mapping", journal = j-NUM-MATH, volume = "54", number = "2", pages = "125--143", month = nov, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30 (65E05)", MRnumber = "89j:30007", MRreviewer = "D. Gaier", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Fachbereich Math., Dortmund Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational geometry; conformal mapping; doubly connected domains; extremal properties; finite Laurent series; interpolation; Jordan curve; point systems; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Schmidt:1988:CDB, author = "G. Schmidt and H. Strese", title = "The convergence of a direct {BEM} for the plane mixed boundary value problem of the {Laplacian}", journal = j-NUM-MATH, volume = "54", number = "2", pages = "145--165", month = nov, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "89i:65121", MRreviewer = "A. O. Garder", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Karl-Weierstrass-Inst. f{\"u}r Math., Akademie der Wissenschaften, Berlin, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error estimates; boundary element method; boundary integral equations; boundary-elements methods; boundary-value problems; collocation solution; convergence; convergence of numerical methods; direct BEM; integral equations; Laplace transforms; Laplacian; plane mixed boundary value problem", treatment = "T Theoretical or Mathematical", } @Article{Bshouty:1988:CMS, author = "D. Bshouty and N. Hengartner and W. Hengartner", title = "A constructive method for starlike harmonic mappings", journal = j-NUM-MATH, volume = "54", number = "2", pages = "167--178", month = nov, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30 (65E05)", MRnumber = "89m:30016", MRreviewer = "D. Gaier", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Technion-Israel Inst. of Technol., Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational geometry; conformal mappings; constructive method; starlike harmonic mappings; univalent harmonic mappings", treatment = "T Theoretical or Mathematical", } @Article{Sapidis:1988:MCT, author = "N. S. Sapidis and P. D. Kaklis and T. A. Loukakis", title = "A method for computing the tension parameters in convexity-preserving spline-in-tension interpolation", journal = j-NUM-MATH, volume = "54", number = "2", pages = "179--192", month = nov, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07", MRnumber = "90a:65030", MRreviewer = "Gheorghe Coman", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Naval Archit. and Marine Eng., Athens, Greece", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "c-admissible data sets; convexity-preserving spline-in-tension interpolation; generalized Newton--Raphson method; interpolation; iterative methods; iterative scheme; numerical performance; tension parameters", treatment = "T Theoretical or Mathematical", } @Article{Giunta:1988:MWM, author = "G. Giunta and G. Laccetti and M. R. Rizzardi", title = "More on the {Weeks} method for the numerical inversion of the {Laplace} transform", journal = j-NUM-MATH, volume = "54", number = "2", pages = "193--200", month = nov, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R10", MRnumber = "90j:65151", MRreviewer = "R. C. S. Chandel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dipartimento di Matematica e Applicazioni, Napoli Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytical properties; incidental parameters; inversion methods; Laguerre functions; Laplace transform; Laplace transforms; numerical inversion; numerical methods; series (mathematics); series expansion; Weeks method", treatment = "T Theoretical or Mathematical", } @Article{Still:1988:CBE, author = "Georg Still", title = "Computable bounds for eigenvalues and eigenfunctions of elliptic differential operators", journal = j-NUM-MATH, volume = "54", number = "2", pages = "201--223", month = nov, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N25 (35P15)", MRnumber = "89k:65130", MRreviewer = "Alan L. Andrew", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Fachbereich IV Math., Trier Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximations; bounds; computable bounds; defect-minimization method; differential equations; eigenfunctions; eigenvalues; eigenvalues and eigenfunctions; elliptic differential operators; error bounds; Hilbert spaces; membrane problem; self-adjoint operators", treatment = "T Theoretical or Mathematical", } @Article{Fischer:1988:SRI, author = "Bernd Fischer and Lothar Reichel", title = "A stable {Richardson} iteration method for complex linear systems", journal = j-NUM-MATH, volume = "54", number = "2", pages = "225--242", month = nov, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "90a:65060", MRreviewer = "H. R. Schwarz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Hamburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic equations; complex linear systems; convergence of numerical methods; convergence properties; iterative methods; ordering; relaxation parameters; stable Richardson iteration method", treatment = "T Theoretical or Mathematical", } @Article{Nochetto:1988:SEE, author = "Ricardo H. Nochetto", title = "Sharp {$L^\infty$}-error estimates for semilinear elliptic problems with free boundaries", journal = j-NUM-MATH, volume = "54", number = "3", pages = "243--255", month = dec, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35R35)", MRnumber = "90h:65186", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Phys. Sci. and Technol., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error estimates; finite element analysis; graph theory; monotone graph; numerical methods; numerical scheme; partial differential equations; piecewise linear finite elements; piecewise-linear techniques; preliminary regularization; semilinear PDE", treatment = "T Theoretical or Mathematical", } @Article{Calvo:1988:ASM, author = "M. Calvo and T. Grande", title = "On the asymptotic stability of $\theta$-methods for delay differential equations", journal = j-NUM-MATH, volume = "54", number = "3", pages = "257--269", month = dec, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20 (34K05)", MRnumber = "90a:65186", MRreviewer = "Jacques Reverdy", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. de Matematica Aplicada, Fac. de Ciencias, Zaragoza, Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic stability; delay differential equations; differential equations; stability; test equations", treatment = "T Theoretical or Mathematical", } @Article{Oliker:1988:NSE, author = "V. I. Oliker and L. D. Prussner", title = "On the numerical solution of the equation $(\partial^2z/\partial x^2)(\partial^2z/\partial y^2)-((\partial^2z/\partial x\partial y))^2=f$ and its discretizations. {I}", journal = j-NUM-MATH, volume = "54", number = "3", pages = "271--293", month = dec, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N05 (65G10)", MRnumber = "90h:65164", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math. and Comput. Sci., Emory Univ., Atlanta, GA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "geometric interpretation; iterative method; iterative methods; Monge--Ampere type; nonlinear equations; numerical methods; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Ruotsalainen:1988:CGM, author = "K. Ruotsalainen and J. Saranen", title = "On the convergence of the {Galerkin} method for nonsmooth solutions of integral equations", journal = j-NUM-MATH, volume = "54", number = "3", pages = "295--302", month = dec, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "90a:65281", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Fac. of Technol., Oulu Univ., Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; error estimates; Galerkin method; integral equations; nonsmooth solutions", treatment = "T Theoretical or Mathematical", } @Article{Zulehner:1988:SPS, author = "Walter Zulehner", title = "On the solutions to polynomial systems obtained by homotopy methods", journal = j-NUM-MATH, volume = "54", number = "3", pages = "303--317", month = dec, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (58C30)", MRnumber = "90a:65123", MRreviewer = "T. Y. Li", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Johannes Kepler Univ., Linz, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "connected component; homotopy methods; numerical methods; polynomial systems; polynomials; solution paths", treatment = "T Theoretical or Mathematical", } @Article{Dyn:1988:PPS, author = "Nira Dyn and Charles A. Micchelli", title = "Piecewise polynomial spaces and geometric continuity of curves", journal = j-NUM-MATH, volume = "54", number = "3", pages = "319--337", month = dec, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07 (41A15)", MRnumber = "90a:65020", MRreviewer = "Antonio L{\'o}pez-Carmona", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Sch. of Math. Sci., Tel-Aviv Univ., Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Beta-splines; geometric continuity; Nu-splines; piecewise polynomials; polynomial spaces; polynomials; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Costabel:1988:DEN, author = "Martin Costabel and Ernst P. Stephan", title = "Duality estimates for the numerical solution of integral equations", journal = j-NUM-MATH, volume = "54", number = "3", pages = "339--353", month = dec, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "90b:65245", MRreviewer = "Rudolf Gorenflo", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Fachbereich Math., Tech. Hochschule Darmstadt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Aubin-Nitsche-type duality; boundary integral equations; duality (mathematics); general projection methods; integral equations; numerical methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Ascher:1988:GFS, author = "U. M. Ascher and R. M. M. Mattheij", title = "General framework, stability and error analysis for numerical stiff boundary value methods", journal = j-NUM-MATH, volume = "54", number = "3", pages = "355--372", month = dec, year = "1988", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20", MRnumber = "90b:65166", MRreviewer = "Lydia Kronsj{\"o}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; differential equations; error analysis; numerical methods; ordinary differential problems; stability; stiff boundary value methods", treatment = "T Theoretical or Mathematical", } @Article{Chow:1989:FEE, author = "S.-S. Chow", title = "Finite element error estimates for non-linear elliptic equations of monotone type", journal = j-NUM-MATH, volume = "54", number = "4", pages = "373--393", month = jan, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "90a:65235", MRreviewer = "Ji{\v{r}}{\'i} Nedoma", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods)", corpsource = "Dept. of Math., Wyoming Univ., Laramie, WY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; continuity; divergence; energy norm; error analysis; error estimates; finite element analysis; finite element approximations; fluid dynamics; glaciological problems; gradient nonlinearity; monotone nonlinear elliptic equations; monotonicity; partial differential equations; second-order elliptic boundary value problems; seepage through coarse grained porous media; shock-free airfoil; variational formulations; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Jovanovic:1989:CFD, author = "Bo{\v{s}}ko S. Jovanovi{\'c}", title = "On the convergence of finite-difference schemes for parabolic equations with variable coefficients", journal = j-NUM-MATH, volume = "54", number = "4", pages = "395--404", month = jan, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N10", MRnumber = "90d:65182", MRreviewer = "Gerhard Telschow", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Fac. of Sci., Belgrade Univ., Yugoslavia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bilinear Bramble--Hilbert lemma; convergence; convergence of numerical methods; difference equations; finite-difference schemes; first initial-boundary value problem; initial value problems; linear second-order parabolic equations with variable coefficients; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Ito:1989:AID, author = "K. Ito and F. Kappel", title = "Approximation of infinite delay and {Volterra} type equations", journal = j-NUM-MATH, volume = "54", number = "4", pages = "405--444", month = jan, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45D05 45L05)", MRnumber = "90c:65162", MRreviewer = "John M. Bownds", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Lefschetz Center of Dynamical Syst., Brown Univ., Providence, RI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "abstract approximation results; convergence of numerical methods; delays; function approximation; infinite order convergence; integral equations; Laguerre polynomials; Legendre polynomials; neutral infinite delay equations; polynomials; strongly continuous semigroups; Volterra integral equations; Volterra integrodifferential equations", treatment = "T Theoretical or Mathematical", } @Article{Criscuolo:1989:UCG, author = "G. Criscuolo and G. Mastroianni", title = "On the uniform convergence of {Gaussian} quadrature rules for {Cauchy} principal value integrals", journal = j-NUM-MATH, volume = "54", number = "4", pages = "445--461", month = jan, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30", MRnumber = "90h:65023", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Istituto per Applicazioni della Matematica, CNR, Napoli, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy principal value integrals; convergence of numerical methods; Gaussian quadrature rules; integration; product rules; remainder term; singular integral equations; uniform convergence", treatment = "T Theoretical or Mathematical", } @Article{Hackbusch:1989:FMM, author = "W. Hackbusch and Z. P. Nowak", title = "On the fast matrix multiplication in the boundary element method by panel clustering", journal = j-NUM-MATH, volume = "54", number = "4", pages = "463--491", month = jan, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "89k:65162", MRreviewer = "G. A. Evans", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Inst. f{\"u}r Inf. und Praktische Math., Christian-Albrechts-Univ., Kiel, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate matrix-vector multiplication; boundary element method; boundary-elements methods; computational complexity; fast matrix multiplication; linear equations; matrix algebra; panel clustering; storage requirements; vectors", treatment = "T Theoretical or Mathematical", } @Article{Gilliam:1989:DSI, author = "David S. Gilliam and John R. Lund and Clyde F. Martin", title = "A discrete sampling inversion scheme for the heat equation", journal = j-NUM-MATH, volume = "54", number = "5", pages = "493--506", month = feb, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M99", MRnumber = "90f:65170", MRreviewer = "P. M. Gupta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4725Q (Convection and heat transfer); B0290F (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas Tech Univ., Lubbock, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; discrete sampling inversion scheme; discrete time; heat equation; heat transfer; spatial sampling; symmetric centrosymmetric Toeplitz matrix; uniform exponential error bound", treatment = "T Theoretical or Mathematical", } @Article{Kratzschmar:1989:DDA, author = "Michael Kr{\"a}tzschmar", title = "A decomposition-dualization approach for solving constrained convex minimization problems with applications to discretized obstacle problems", journal = j-NUM-MATH, volume = "54", number = "5", pages = "507--531", month = feb, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C25 (65K05 90C20)", MRnumber = "90f:90107", MRreviewer = "Krzysztof C. Kiwiel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Tech. Hochschule Darmstadt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constrained convex minimization problems; convex programming; decomposition-dualization approach; discretized obstacle problems; Fenchel-Rockafellar duality; five-point difference approximation; H-matrices; minimisation; piecewise quadratic finite elements; quadratic programming", treatment = "T Theoretical or Mathematical", } @Article{Dobrowolski:1989:DSF, author = "Manfred Dobrowolski", title = "A discrete solenoidal finite difference scheme for the numerical approximation of incompressible flows", journal = j-NUM-MATH, volume = "54", number = "5", pages = "533--542", month = feb, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20 (76D05)", MRnumber = "90e:65144", MRreviewer = "M. M. Sussman", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A4710 (General theory, simulation and other computational methods)", corpsource = "Inst. f{\"u}r Angewandte Math., Erlangen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; discrete solenoidal finite difference scheme; incompressible flows; Navier--Stokes equations; numerical approximation; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Wittum:1989:MGM, author = "G. Wittum", title = "Multi-grid methods for {Stokes} and {Navier--Stokes} equations. Transforming smoothers: algorithms and numerical results", journal = j-NUM-MATH, volume = "54", number = "5", pages = "543--563", month = feb, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N12 (65N55 76D05 76M20)", MRnumber = "91a:65225", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods)", corpsource = "Heidelberg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithms; convergence behaviour; incomplete LU-decompositions; iterations; iterative methods; multigrid method; Navier--Stokes equations; Reynolds-numbers; Stokes equations; transforming smoothers", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1989:CPS, author = "Claude Brezinski", title = "Contraction properties of sequence transformations", journal = j-NUM-MATH, volume = "54", number = "5", pages = "565--574", month = feb, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B99", MRnumber = "90k:65013", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis)", corpsource = "Lab. d'Anal. Num{\'e}rique et d'Optimisation, Univ. de Lille Flandres-Artois, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "contraction properties; convergence acceleration; convergence of numerical methods; sequence transformations; theta-procedure", treatment = "T Theoretical or Mathematical", } @Article{Elliott:1989:SOS, author = "C. M. Elliott and D. A. French and F. A. Milner", title = "A second order splitting method for the {Cahn--Hilliard} equation", journal = j-NUM-MATH, volume = "54", number = "5", pages = "575--590", month = feb, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "90k:65173", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C1320 (Stability); C4130 (Interpolation and function approximation)", corpsource = "Sch. of Math. and Phys. Sci., Sussex Univ., Brighton, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; Cahn--Hilliard equation; finite element analysis; Lyapunov functional; Lyapunov methods; optimal order error bounds; second order splitting method; semidiscrete finite element method", treatment = "T Theoretical or Mathematical", } @Article{Dekker:1989:RGJ, author = "T. J. Dekker and W. Hoffmann", title = "Rehabilitation of the {Gauss--Jordan} Algorithm", journal = j-NUM-MATH, volume = "54", number = "5", pages = "591--599", month = feb, year = "1989", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396364", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (65W05)", MRnumber = "90a:65054", MRreviewer = "De Hui Chen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "In this paper a Gauss--Jordan algorithm with column interchanges is presented and analysed. We show that, in contrast with Gaussian elimination, the Gauss--Jordan algorithm has essentially differing properties when using column interchanges instead of row interchanges for improving the numerical stability. For solutions obtained by Gauss--Jordan with column interchanges, a more satisfactory bound for the residual norm can be given. The analysis gives theoretical evidence that the algorithm yields numerical solutions as good as those obtained by Gaussian elimination and that, in most practical situations, the residuals are equally small. This is confirmed by numerical experiments. Moreover, timing experiments on a Cyber 205 vector computer show that the algorithm presented has good vectorisation properties.", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Comput. Syst., Amsterdam Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "column interchanges; convergence of numerical methods; Cyber 205 vector computer; error analysis; Gauss--Jordan algorithm; numerical stability; parallel algorithms; rehabilitation; residual norm; row interchanges", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Nochetto:1989:PAF, author = "Ricardo H. Nochetto", title = "Pointwise accuracy of a finite element method for nonlinear variational inequalities", journal = j-NUM-MATH, volume = "54", number = "6", pages = "601--618", month = mar, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35J85 49A29 65P05)", MRnumber = "90d:65197", MRreviewer = "G. F. Raggett", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Phys. Sci. and Technol., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continuous piecewise linear finite elements; finite element analysis; finite element method; nonlinear variational inequalities; nonlinear variational inequality; numerical approximation; partial differential equations; pointwise accuracy; quasilinear elliptic PDE; singular maximal monotone graph; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Heinrichs:1989:KKE, author = "Wilhelm Heinrichs", title = "{Konvergenzaussagen f{\"u}r Kollokationsverfahren bei elliptischen Randwertaufgaben}. ({German}) [{Convergence} of the collocation method for elliptic boundary value problems]", journal = j-NUM-MATH, volume = "54", number = "6", pages = "619--637", month = mar, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N35", MRnumber = "90e:65167", MRreviewer = "M. Zl{\'a}mal", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Dusseldorf Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; collocation method; convergence; convergence of numerical methods; differential equations; elliptic boundary value problems; existence; L/sup P/-theory; polynomials; regularity; smoothness", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Zitnan:1989:PEE, author = "Peter {\v{Z}}it{\v{n}}an", title = "An a posteriori error estimation of the {Rayleigh--Ritz} eigenvalues", journal = j-NUM-MATH, volume = "54", number = "6", pages = "639--654", month = mar, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "35P15 (47A70 49G10 65N30)", MRnumber = "90d:35223", MRreviewer = "Jan Bochenek", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Comput. Centre, Slovak Acad. of Sci., Bratislava, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori error estimation; analytic perturbation theory; eigenvalue lower bounds; eigenvalues and eigenfunctions; error analysis; linear operators; matrix algebra; numerical results; positive definite differential operators; Rayleigh--Ritz eigenvalues", treatment = "P Practical", } @Article{Guillot:1989:AFD, author = "J. C. Guillot and P. Joly", title = "Approximation by finite differences of the propagation of acoustic waves in stratified media", journal = j-NUM-MATH, volume = "54", number = "6", pages = "655--702", month = mar, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20 (73-08 73D99 76Q05 86A20)", MRnumber = "90e:65146", MRreviewer = "N. Gass", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4320 (General linear acoustics)", corpsource = "Dept. de Math., Univ. de Paris Nord, Villetaneuse, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "acoustic wave propagation; acoustic waves; difference equations; finite differences; guided waves; numerical dispersion; purely numerical parasitic phenomena; stratified media; two layered media; variational scheme; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Berrut:1989:BFC, author = "Jean-Paul Berrut", title = "Barycentric formulae for cardinal ({SINC}-) interpolants", journal = j-NUM-MATH, volume = "54", number = "6", pages = "703--718", month = mar, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05", MRnumber = "90d:65025a", MRreviewer = "Luciano Biasini", bibdate = "Sat Oct 24 12:49:50 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Berrut:1989:EFC}.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math.-Perolles, Fribourg Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "barycentric representation; cardinal interpolants; interpolation; SINC interpolants; weighted barycentric formula", treatment = "P Practical", } @Article{Yserentant:1989:PID, author = "Harry Yserentant", title = "Preconditioning indefinite discretization matrices", journal = j-NUM-MATH, volume = "54", number = "6", pages = "719--734", month = mar, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (65F10)", MRnumber = "90a:65105", MRreviewer = "Shuzi Zhou", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Fachbereich Math., Dortmund Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic analysis; boundary value problems; boundary-value problems; condition numbers; elliptic boundary value problems; finite element analysis; finite element discretization; indefinite discretization matrices; linear systems; matrix algebra; partial differential equation; partial differential equations; perturbed matrices; preconditioning matrices; spectra", treatment = "P Practical", } @Article{Aguilera:1989:NAC, author = "N{\'e}stor E. Aguilera", title = "Numerical analysis of cavitational flow-theory", journal = j-NUM-MATH, volume = "55", number = "1", pages = "1--32", month = apr, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76-08 76B10)", MRnumber = "90f:65199", MRreviewer = "C. Wayne Mastin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4755B (Cavitation); A4755C (Jets)", corpsource = "Programa Especial de Matematica Aplicada, Conicet, Buenos Aires, Argentina", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cavitation; cavitational flow-theory; cavities; jets; numerical analysis; numerical approximation; theoretical results; two dimensional flows", treatment = "T Theoretical or Mathematical", } @Article{FernandezCara:1989:CTN, author = "Enrique {Fern{\'a}ndez Cara} and Mercedes Mar{\'i}n Beltr{\'a}n", title = "The convergence of two numerical schemes for the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "55", number = "1", pages = "33--60", month = apr, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76-08 76D05)", MRnumber = "90e:65154", MRreviewer = "Timothy Nigel Phillips", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods)", corpsource = "Dept. of Math. Anal., Sevilla Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; fluid; incompressible nonstationary; Navier--Stokes equations; numerical methods; stability; stable; velocity field", treatment = "T Theoretical or Mathematical", } @Article{Badea:1989:GSA, author = "Lori Badea", title = "A generalization of the {Schwarz} alternating method to an arbitrary number of subdomains", journal = j-NUM-MATH, volume = "55", number = "1", pages = "61--81", month = apr, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65J10)", MRnumber = "90e:65150", MRreviewer = "Igor Bock", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Inst. for Power Studies and Designs, Bucharest, Romania", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence of numerical methods; Dirichlet problems; linear elasticity; Schwarz alternating method; second-order boundary value problems; subdomains", treatment = "T Theoretical or Mathematical", } @Article{Bunse-Gerstner:1989:QA, author = "Angelika Bunse-Gerstner and Ralph Byers and Volker Mehrmann", title = "A quaternion {$QR$} algorithm", journal = j-NUM-MATH, volume = "55", number = "1", pages = "83--95", month = apr, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (65-04)", MRnumber = "90e:65048", MRreviewer = "H. R. Schwarz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Fakult{\"a}t f{\"u}r Math., Bielefeld Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "antiquaternion matrices; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; finite step reduction; Francis QR algorithm; iteration; matrix algebra; quaternion; serial computation", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1989:TND, author = "I. Babu{\v{s}}ka and Manil Suri", title = "The treatment of nonhomogeneous {Dirichlet} boundary conditions by the $p$-version of the finite element method", journal = j-NUM-MATH, volume = "55", number = "1", pages = "97--121", month = apr, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "90m:65191", MRreviewer = "Mo Mu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4190 (Other numerical methods)", corpsource = "Inst. for Phys. Sci. and Technol., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary conditions; convergence of numerical methods; Dirichlet boundary conditions; finite element analysis; finite element method; nonhomogeneous", treatment = "T Theoretical or Mathematical", } @Article{Borgers:1989:NDD, author = "Christoph B{\"o}rgers", title = "The {Neumann--Dirichlet} domain decomposition method with inexact solvers on the subdomains", journal = j-NUM-MATH, volume = "55", number = "2", pages = "123--136", month = may, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20 (65F10)", MRnumber = "90f:65191", MRreviewer = "G. Maess", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; inexact solvers; iterative method; iterative methods; linear elliptic boundary value problems; Neumann--Dirichlet domain decomposition method; subdomains", treatment = "T Theoretical or Mathematical", } @Article{Ogata:1989:MCM, author = "Yosihiko Ogata", title = "A {Monte Carlo} method for high-dimensional integration", journal = j-NUM-MATH, volume = "55", number = "2", pages = "137--157", month = may, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65C05 (65D30)", MRnumber = "90c:65009", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0240G (Monte Carlo methods); B0290R (Integral equations); C1140G (Monte Carlo methods); C4180 (Integral equations)", corpsource = "Inst. of Stat. Math., Tokyo, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "1-dimensional integration; high dimensional integration; integral equations; Monte Carlo method; Monte Carlo methods; numerical integration; scale parameter; statistical function", treatment = "T Theoretical or Mathematical", } @Article{Kelley:1989:PQN, author = "C. T. Kelley and E. W. Sachs", title = "A pointwise {quasi-Newton} method for unconstrained optimal control problems", journal = j-NUM-MATH, volume = "55", number = "2", pages = "159--176", month = may, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K05 (49D15)", MRnumber = "90i:65119", MRreviewer = "Kang Hoh Phua", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1330 (Optimal control); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Carolina State Univ., Raleigh, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "iterates; iterative methods; optimal control; pointwise quasiNewton method; superlinear convergence; unconstrained optimal control problems", treatment = "T Theoretical or Mathematical", } @Article{Blanchard:1989:NAE, author = "Dominique Blanchard and Patrick {Le Tallec} and Michel Ravachol", title = "Numerical analysis of evolution problems in nonlinear small strains elastoviscoplasticity", journal = j-NUM-MATH, volume = "55", number = "2", pages = "177--195", month = may, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M99 (65K99 73-08 73F15 73F30)", MRnumber = "90d:65177", MRreviewer = "P. Rochus", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation)", corpsource = "Service de Math., Lab. Central des Ponts et Chauss{\'e}es, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "backward Euler discretization; elastoplasticity; evolution problems; existence; finite element approximation; maximal monotone; mechanical model; nonlinear algebraic systems; nonlinear small strains elastoviscoplasticity; numerical analysis; preconditioned conjugate gradient algorithm; uniqueness; viscoelastic problem; viscoelasticity", treatment = "T Theoretical or Mathematical", } @Article{Lubich:1989:LIE, author = "C. Lubich", title = "Linearly implicit extrapolation methods for differential-algebraic systems", journal = j-NUM-MATH, volume = "55", number = "2", pages = "197--211", month = may, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "90k:65148", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math. und Geometrie, Innsbruck Univ., Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; differential-algebraic systems; error behaviour; Euler discretizations; extrapolation; linearly implicit extrapolation methods; numerical solution; perturbed asymptotic expansions; solution-dependent singular matrix", treatment = "T Theoretical or Mathematical", } @Article{Lenferink:1989:CPE, author = "H. W. J. Lenferink", title = "Contractivity preserving explicit linear multistep methods", journal = j-NUM-MATH, volume = "55", number = "2", pages = "213--223", month = may, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30", MRnumber = "90f:65058", MRreviewer = "Jose Cuminato", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math. and Comput. Sci., Leiden Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "contractivity preserving; differential equations; explicit linear multistep methods; inner product; numerical solution; ordinary differential equations; s-dimensional space", treatment = "T Theoretical or Mathematical", } @Article{Hackbusch:1989:ADN, author = "W. Hackbusch and A. Reusken", title = "Analysis of a damped nonlinear multilevel method", journal = j-NUM-MATH, volume = "55", number = "2", pages = "225--246", month = may, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20", MRnumber = "90f:65194", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Inst. f{\"u}r Inf. und Praktische Math., Christian-Albrechts-Univ., Kiel, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "damped nonlinear multilevel method; damping parameter; global convergence; iterative methods; local efficiency; nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{Lubinsky:1989:UCR, author = "D. S. Lubinsky", title = "On uniform convergence of rational, {Newton--Pad{\'e}} interpolants of type $(n,n)$ with free poles as $n\to\infty$", journal = j-NUM-MATH, volume = "55", number = "3", pages = "247--264", month = jun, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A21 (30E10)", MRnumber = "90d:41029", MRreviewer = "H. Wallin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of the Witwatersrand, Wits, South Africa", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; distinct interpolation points; free poles; interpolation; Newton--Pad{\'e} interpolants; poles and zeros; uniform convergence", treatment = "T Theoretical or Mathematical", } @Article{Li:1989:HAS, author = "T. Y. Li and N. H. Rhee", title = "Homotopy algorithm for symmetric eigenvalue problems", journal = j-NUM-MATH, volume = "55", number = "3", pages = "265--280", month = jun, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H15 (55M25 58C30 90C30)", MRnumber = "90g:65074", MRreviewer = "Corneliu Berbente", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4290 (Other computer theory)", corpsource = "Dept. of Math., Michigan State Univ., East Lansing, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenpairs; eigenvalue-eigenvector problems; eigenvalues and eigenfunctions; homotopy algorithm; numerical experience; order preserving property; parallel algorithm; parallel algorithms; real symmetric tridiagonal matrices; symmetric eigenvalue problems", treatment = "T Theoretical or Mathematical", } @Article{Baltus:1989:TEB, author = "Christopher Baltus and William B. Jones", title = "Truncation error bounds for modified continued fractions with applications to special functions", journal = j-NUM-MATH, volume = "55", number = "3", pages = "281--307", month = jun, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D20 (30B70 30E10 33A70)", MRnumber = "90h:65021", MRreviewer = "G. J. Miel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Coll. at Oswego, State Univ. of New York, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori bounds; approximation theory; convergence behavior; graphical contour maps; limit-periodic property; Maclaurin series; modified continued fractions; truncation error bounds", treatment = "T Theoretical or Mathematical", } @Article{Verfurth:1989:PEE, author = "R. Verf{\"u}rth", title = "A posteriori error estimators for the {Stokes} equations", journal = j-NUM-MATH, volume = "55", number = "3", pages = "309--325", month = jun, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N15 (65N30 76-08 76D05)", MRnumber = "90d:65187", MRreviewer = "Long An Ying", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods)", corpsource = "Inst. f{\"u}r Angewandte Math., Zurich Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori error estimators; finite element solution; mesh-refinement process; minielement discretization; Navier--Stokes equations; residual; Stokes equations", treatment = "T Theoretical or Mathematical", } @Article{Zheng:1989:EUV, author = "Q. Zheng", title = "{{\"U}ber die Existenz von unendlich vielen periodischen L{\"o}sungen einer einfachen Temperaturregelung}. ({German}) [{On} the existence of an infinite number of periodic solutions for a simple temperature control]", journal = j-NUM-MATH, volume = "55", number = "3", pages = "327--341", month = jun, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "35K05 (65P05)", MRnumber = "90d:35125", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C3120N (Thermal variables); C4170 (Differential equations)", corpsource = "Siemens AG M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "coupled boundary conditions; differential equations; infinite number; maximum principle; one-dimensional space; parabolic differential equation; periodic solutions; perturbation; simple temperature control; temperature control", language = "German", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Zenisek:1989:FEV, author = "Alexander {\v{Z}}en{\'i}{\v{s}}ek", title = "Finite element variational crimes in parabolic-elliptic problems. {I}. Nonlinear schemes", journal = j-NUM-MATH, volume = "55", number = "3", pages = "343--376", month = jun, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65M60)", MRnumber = "90f:65213", MRreviewer = "Weimin Han", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Tech. Univ., Brno, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; completely discretized; differential equations; Euler backward method; finite element analysis; finite element method; finite element variational crimes; initial-boundary value problem; Lipschitz continuous; parabolic-elliptic problems; stability; uniqueness theorem", treatment = "T Theoretical or Mathematical", } @Article{More:1989:ABC, author = "Jorge J. Mor{\'e} and Gerardo Toraldo", title = "Algorithms for bound constrained quadratic programming problems", journal = j-NUM-MATH, volume = "55", number = "4", pages = "377--400", month = jul, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C20 (65K05)", MRnumber = "90e:90091", MRreviewer = "Siegfried Helbig", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bound constrained quadratic programming problems; convergence of numerical methods; feasible set; gradient projection method; iterations; iterative methods; local minimizer; numerical comparison; quadratic programming; standard active set strategies; stationary point; termination", treatment = "P Practical", } @Article{Wang:1989:AEE, author = "Junping Wang", title = "Asymptotic expansions and {$L^\infty$}-error estimates for mixed finite element methods for second order elliptic problems", journal = j-NUM-MATH, volume = "55", number = "4", pages = "401--430", month = jul, year = "1989", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396046", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "90e:65166", MRreviewer = "Jike Wu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Sci. Inst., Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error expansion; error analysis; error corrected method; extrapolation; finite element analysis; first order BDM; function approximation; Green's function methods; L/sup 1/-error estimates; mixed finite element methods; numerical analysis; partial differential equations; regularised Green function; Richardson extrapolation; second order elliptic problems", treatment = "T Theoretical or Mathematical", } @Article{VanHuffel:1989:ACB, author = "Sabine {Van Huffel} and Joos Vandewalle", title = "Algebraic connections between the least squares and total least squares problems", journal = j-NUM-MATH, volume = "55", number = "4", pages = "431--449", month = jul, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20 (15A09)", MRnumber = "90m:65080", MRreviewer = "Frederick N. Fritsch", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Electr. Eng., Katholieke Univ., Leuven, Heverlee, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate subspaces; classical least squares; closeness; data fitting; least squares approximations; linear algebra; perturbations; sensitivity; singular vector; total least squares problems", treatment = "T Theoretical or Mathematical", } @Article{Fossmeier:1989:REF, author = "Reinhard F{\"o}{\ss}meier", title = "On {Richardson} extrapolation for finite difference methods on regular grids", journal = j-NUM-MATH, volume = "55", number = "4", pages = "451--462", month = jul, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N10 (65B05)", MRnumber = "90e:65136", MRreviewer = "David C. Arney", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Inf., Tech. Univ., M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary conditions; curved boundaries; difference equations; discretization parameter; extrapolation; finite difference methods; interpolation; mesh widths; partial differential equations; regular grids; Richardson extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Charrier:1989:ACC, author = "P. Charrier and J. Roman", title = "Algorithmique et calculs de complexit{\'e} pour un solveur de type dissections embo{\^i} t{\'e}es. ({French}) [{Algorithmic} study and complexity bounds for a nested dissection solver]", journal = j-NUM-MATH, volume = "55", number = "4", pages = "463--476", month = jul, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30 (15A06)", MRnumber = "90m:65083", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Bordeaux I Univ., Talence, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "block data structure; block storage scheme; block symbolic factorization; bounded degree; complexity bounds; computational complexity; data structures; factored matrix; graphs; large sparse systems; linear algebra; linear equations; nested dissection solver; overhead storage; regular square grids; separator theorems", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Walz:1989:CIR, author = "Guido Walz", title = "A contour integral representation of linear extrapolation methods", journal = j-NUM-MATH, volume = "55", number = "4", pages = "477--480", month = jul, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B05 (65D05)", MRnumber = "90d:65014", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fak. f{\"u}r Math. und Inf., Mannheim Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "contour integral representation; convergence; extrapolation; integral equations; linear extrapolation methods; linear functionals", treatment = "T Theoretical or Mathematical", } @Article{Graf:1989:BOA, author = "Siegfried Graf and Erich Novak and Anargyros Papageorgiou", title = "Bisection is not optimal on the average", journal = j-NUM-MATH, volume = "55", number = "4", pages = "481--491", month = jul, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "90h:65078", MRreviewer = "Sergei Alexeievich Ivanov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Fak. f{\"u}r Math. und Inf., Passau Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "average error; bisection method; continuous increasing function; function evaluation; functional evaluations; numerical analysis; optimal use; poles and zeros", treatment = "T Theoretical or Mathematical", } @Article{Sakai:1989:CSE, author = "Manabu Sakai and Riaz A. Usmani", title = "A class of simple exponential ${B}$-splines and their application to numerical solution to singular perturbation problems", journal = j-NUM-MATH, volume = "55", number = "5", pages = "493--500", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (65D07)", MRnumber = "90d:65153", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Kagoshima Univ., Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "collocation method; exponential B-splines; numerical solution; perturbation techniques; singular perturbation problems; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Pothen:1989:SNB, author = "Alex Pothen", title = "Sparse null basis computations in structural optimization", journal = j-NUM-MATH, volume = "55", number = "5", pages = "501--519", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F50 (73K40)", MRnumber = "90d:65084", MRreviewer = "R. P. Tewarson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B0260 (Optimisation techniques); C1160 (Combinatorial mathematics); C1180 (Optimisation techniques)", corpsource = "Dept. of Comput. Sci., Pennsylvania State Univ., University Park, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bipartite graph; equilibrium matrices; finite element analysis; finite element formulation; graph theory; null vectors; optimisation; partitioning method; rigid jointed skeletal structures; sparse null basis computations; sparser bases; structural optimization; triangular algorithm", treatment = "T Theoretical or Mathematical", } @Article{Stynes:1989:UCD, author = "Martin Stynes and Eugene O'Riordan", title = "Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points", journal = j-NUM-MATH, volume = "55", number = "5", pages = "521--544", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M10 (65N10)", MRnumber = "90i:65168", MRreviewer = "V. D. Glushenkov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. Coll., Cork, Ireland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; Courant-Friedrichs-Lewy-type condition; derivatives; difference equations; initial value problems; initial-boundary value problem; parabolic equation; singularly perturbed parabolic diffusion-convection problems; uniformly convergent difference schemes", treatment = "T Theoretical or Mathematical", } @Article{Rentrop:1989:ARW, author = "P. Rentrop and M. Roche and G. Steinebach", title = "The application of {Rosenbrock-Wanner} type methods with stepsize control in differential-algebraic equations", journal = j-NUM-MATH, volume = "55", number = "5", pages = "545--563", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "90c:65100", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Math. Inst., Tech. Univ. M{\"u}nchen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "artificial test problems; DAE34; differential-algebraic equations; index-1 monitor; nonlinear equations; partial differential equations; RKF4DA; Rosenbrock-Wanner type methods; Runge--Kutta--Fehlberg; stepsize control", treatment = "T Theoretical or Mathematical", } @Article{Floria:1989:NPS, author = "Luis M. Flor{\'i}a and Robert B. Griffiths", title = "Numerical procedure for solving a minimization eigenvalue problem", journal = j-NUM-MATH, volume = "55", number = "5", pages = "565--574", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "90b:65065", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290H (Linear algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Dept. of Phys., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; Karp; minimisation; minimization eigenvalue problem; minimum cyclic average; numerical procedure; von Golitschek procedure", treatment = "T Theoretical or Mathematical", } @Article{Marini:1989:RPD, author = "L. D. Marini and A. Quarteroni", title = "A relaxation procedure for domain decomposition methods using finite elements", journal = j-NUM-MATH, volume = "55", number = "5", pages = "575--598", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "90g:65150", MRreviewer = "David F. Griffiths", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Istituto di Analisi Numerica, CNR, Pavia, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "automatic selection; convergence analysis; convergence of numerical methods; domain decomposition methods; elliptic equations; finite element analysis; finite elements; flow; incompressible Stokes equations; iterative methods; iterative procedure; relaxation procedure; subdomains; transmission conditions", treatment = "T Theoretical or Mathematical", } @Article{Degond:1989:NAW, author = "P. Degond and B. Niclot", title = "Numerical analysis of the weighted particle method applied to the semiconductor {Boltzmann} equation", journal = j-NUM-MATH, volume = "55", number = "5", pages = "599--618", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65P05 (82A70)", MRnumber = "90g:65166", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B2520 (Semiconductor theory, materials and properties); B2560B (Modelling and equivalent circuits)", corpsource = "Centre de Math. Appliqu{\'e}es, {\'E}cole Polytech., Palaiseau, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Boltzmann equation; error analysis; exact solution; integral operator; kernel; numerical analysis; numerical approximation; semiconductor Boltzmann equation; semiconductor device models; semiconductors; singularities; weighted particle method", treatment = "T Theoretical or Mathematical", } @Article{Jerome:1989:NMG, author = "Joseph W. Jerome", title = "{Newton}'s method for gradient equations based upon the fixed point map: convergence and complexity study", journal = j-NUM-MATH, volume = "55", number = "6", pages = "619--632", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N99 (58C30 65H05 90C30)", MRnumber = "90h:65200", MRreviewer = "Luciano Biasini", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept of Math., Northwestern Univ., Evanston, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate Newton method; complexity; computational complexity; convergence; finite element analysis; fixed point map; gradient equations; iterative methods; Kantorovich theory; R-quadratically convergent finite element iteration; scalar gradient equations; Vituskin inequality", treatment = "T Theoretical or Mathematical", } @Article{Morley:1989:FMF, author = "Mary E. Morley", title = "A family of mixed finite elements for linear elasticity", journal = j-NUM-MATH, volume = "55", number = "6", pages = "633--666", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73-08 (65N30)", MRnumber = "90f:73006", MRreviewer = "Ji{\v{r}}{\'i} Nedoma", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630C (Elasticity)", corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "elasticity; error analysis; finite element analysis; Lagrange multipliers; linear elasticity; mixed finite elements; mixed formulations; PEERS finite element spaces; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Arioli:1989:ASA, author = "Mario Arioli and Iain S. Duff and Peter P. M. de Rijk", title = "On the Augmented System Approach to Sparse Least-Squares Problems", journal = j-NUM-MATH, volume = "55", number = "6", pages = "667--684", month = aug, year = "1989", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01389335", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20", MRnumber = "90g:65048", MRreviewer = "Frank Natterer", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Div. of Comput. Sci. and Syst., Harwell Lab., Didcot, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "augmented system approach; Bjorck scaling; error analysis; error bounds; least squares approximations; lsq; nla; numerical properties; pert; sparse; sparse least-squares problems", mynote = "Harwell CS223, Oct 88", treatment = "T Theoretical or Mathematical", } @Article{Studniarski:1989:ACO, author = "Marcin Studniarski", title = "An algorithm for calculating one subgradient of a convex function of two variables", journal = j-NUM-MATH, volume = "55", number = "6", pages = "685--693", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C25 (65K05)", MRnumber = "90g:90123", MRreviewer = "Hyunsil Ahn", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Inst. of Math., {\L}odz Univ., Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; convex function; convex programming; nondifferentiable optimization; numerical methods; one subgradient", treatment = "T Theoretical or Mathematical", } @Article{Hoffmann:1989:LSM, author = "K.-H. Hoffmann and G. H. Meyer", title = "A least squares method for finding the {Preisach} hysteresis operator from measurements", journal = j-NUM-MATH, volume = "55", number = "6", pages = "695--710", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D10", MRnumber = "90f:65024", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Math., Augsburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate density; convergence; density function; error; error analysis; finite element like; least squares approximations; least squares method; measurements; Preisach hysteresis operator", treatment = "T Theoretical or Mathematical", } @Article{Jacobsen:1989:SOD, author = "L. Jacobsen and W. J. Thron and H. Waadeland", title = "Some observations on the distribution of values of continued fractions", journal = j-NUM-MATH, volume = "55", number = "6", pages = "711--733", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30B70 (65D99)", MRnumber = "90j:30007", MRreviewer = "A. Magnus", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Math. and Stat., Trondheim Univ., Dragvoll, Norway", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continued fractions; convergence of numerical methods; observations; probabilities", treatment = "T Theoretical or Mathematical", } @Article{Cools:1989:CMD, author = "Ronald Cools and Ann Haegemans", title = "On the construction of multi-dimensional embedded cubature formulae", journal = j-NUM-MATH, volume = "55", number = "6", pages = "735--745", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "90h:65029", MRreviewer = "B. Boyanov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven, Heverlee, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error estimate; integral; integral equations; monomials; multidimensional embedded cubature formula; polynomials; positive weights", treatment = "T Theoretical or Mathematical", } @Article{Berrut:1989:EFC, author = "Jean-Paul Berrut", title = "Erratum: {``Barycentric formulae for cardinal (SINC-)interpolants''}", journal = j-NUM-MATH, volume = "55", number = "6", pages = "747--747", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05", MRnumber = "90d:65025b", MRreviewer = "Luciano Biasini", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Berrut:1989:BFC}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Girard:1989:FMC, author = "Didier A. Girard", title = "A fast {``{Monte Carlo} cross-validation''} procedure for large least squares problems with noisy data", journal = j-NUM-MATH, volume = "56", number = "1", pages = "1--23", month = sep, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65C05 (65D10 65F99)", MRnumber = "91a:65005", MRreviewer = "Artenio De Matteis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1140G (Monte Carlo methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "CNRS, Univ. Joseph Fourier, Grenoble, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; data points; data smoothing problems; influence matrix; least squares approximations; least squares problems; linear equations; matrix algebra; Monte Carlo methods; Monte-Carlo algorithm; Monte-Carlo cross-validation; noisy data; normalized inner-product; pseudo-random values; regularization; reliable estimates; residual vector; standard normal distribution; trace", treatment = "T Theoretical or Mathematical", } @Article{Heinrichs:1989:SMS, author = "Wilhelm Heinrichs", title = "Spectral methods with sparse matrices", journal = j-NUM-MATH, volume = "56", number = "1", pages = "25--41", month = sep, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N50 (65F50)", MRnumber = "90g:65157", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Angewandte Math., Dusseldorf Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; computational complexity; condition numbers; dense; Dirichlet problems; global polynomials; Helmholtz equation; matrices; matrix algebra; polynomials; smooth solutions; sparse matrices; sparse matrix; spectral method; symmetric matrix", treatment = "T Theoretical or Mathematical", } @Article{LeTallec:1989:FEA, author = "Patrick {Le Tallec} and Michel Ravachol", title = "Finite element approximation of viscoelastic progressively incompressible flows", journal = j-NUM-MATH, volume = "56", number = "1", pages = "43--66", month = sep, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73F15 73V05 76A10 76M10)", MRnumber = "91f:65171", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4660B (Viscoelasticity); A4750 (Non-Newtonian dynamics)", corpsource = "Ceremade, Univ. de Paris Dauphine, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; converge; convergence results; finite element analysis; finite element approximation; incompressible elasticity problems; non-Newtonian flow; numerical locking; pressures; stresses; three-field approximation; velocities; viscoelastic flow problems; viscoelastic progressively incompressible flows; viscoelasticity", treatment = "T Theoretical or Mathematical", } @Article{Gal:1989:CMC, author = "S. G. Gal", title = "A construction of monotonically convergent sequences from successive approximations in certain {Banach} spaces", journal = j-NUM-MATH, volume = "56", number = "1", pages = "67--71", month = sep, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "47H17 (47H10 65D15)", MRnumber = "90g:47118", MRreviewer = "Hideaki Kaneko", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; Banach spaces; contraction; convergence of numerical methods; fixed point; monotonically convergent sequences; monotonicity; successive approximations", treatment = "T Theoretical or Mathematical", } @Article{Fernando:1989:LCR, author = "K. Vince Fernando", title = "Linear convergence of the row cyclic {Jacobi} and {Kogbetliantz} methods", journal = j-NUM-MATH, volume = "56", number = "1", pages = "73--91", month = sep, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30", MRnumber = "91g:65080", MRreviewer = "K. Moszy\'nski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Numerical Algorithms Group Ltd., Oxford, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; linear convergence; matrix algebra; rotation angle; row cyclic Jacobi method; row cyclic Kogbetliantz method", treatment = "T Theoretical or Mathematical", } @Article{Negron-Marrero:1989:NCC, author = "Pablo V. Negr{\'o}n-Marrero and Carlos Carbonera", title = "The numerical computation of compressed states of nonlinearly elastic anisotropic plates", journal = j-NUM-MATH, volume = "56", number = "1", pages = "93--107", month = sep, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73-08 (65N30 73C30 73K10)", MRnumber = "90i:73005", MRreviewer = "Michael Fr{\"o}hner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4630C (Elasticity)", corpsource = "Dept. of Math., Puerto Rico Univ., Rio Piedras, Puerto Rico", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "applied pressure; bounds; Brezzi; compressed states; constitutive functions; elasticity; finite difference approximation; finite dimensional approximation; global error; nonlinear problems; nonlinearly elastic anisotropic circular plates; numerical computation; plate edge; Rappaz; Raviart; singular boundary value problem; standard Poisson ratio effects", treatment = "T Theoretical or Mathematical", } @Article{Li:1989:NSU, author = "Xiezhang Li and Richard S. Varga", title = "A note on the {SSOR} and {USSOR} iterative methods applied to $p$-cyclic matrices", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "109--121", month = oct, year = "1989", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01409780", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91b:65038", MRreviewer = "Stephen W. Brady", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. for Comput. Math., Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p$-cyclic matrices; block Jacobi matrix; eigenvalues and eigenfunctions; functional equation; graph theory; iterative methods; matrix algebra; nonzero eigenvalues; SSOR iterative methods; USSOR iteration matrix; USSOR iterative methods", treatment = "T Theoretical or Mathematical", } @Article{Rodrigue:1989:CCA, author = "Garry Rodrigue and LiShan Kang and Yu-Hui Liu", title = "Convergence and comparison analysis of some numerical {Schwarz} methods", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "123--138", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "90k:65182", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1120 (Analysis); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "California Univ., Davis, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; block Gauss-Siedel methods; block Jacobi methods; comparison analysis; convergence analysis; convergence behavior; convergence of numerical methods; domain decomposition methods; elliptic equations; inner-outer iterative procedure; iterative methods; M-matrix analysis; matrix algebra; multi-processors; numerical Schwarz methods; partial differential equations; subdomain approximations; subdomain iteration procedures", treatment = "T Theoretical or Mathematical", } @Article{Eiermann:1989:SMG, author = "Michael Eiermann", title = "On semiiterative methods generated by {Faber} polynomials", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "139--156", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "90k:65095", MRreviewer = "Jin Xi Zhao", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Praktische Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev iterative method; compact subset; complex plane; convergence; eigenvalues; Faber polynomials; four-step methods; iteration methods; iterative methods; linear algebraic equations; nonsingular system; polynomials; semiiterative methods; stationary k-step methods", treatment = "T Theoretical or Mathematical", } @Article{Axelsson:1989:AMP, author = "O. Axelsson and P. S. Vassilevski", title = "Algebraic multilevel preconditioning methods. {I}", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "157--177", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91c:65023", MRreviewer = "Stephen W. Brady", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Catholic Univ., Nijmegen, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic multilevel preconditioning methods; approximation; discretization; finite element stiffness matrix; matrix algebra; nested finite element spaces; nested meshes; nodal basis functions; nodeordering; preconditioning matrices; recursive split; selfadjoint second order elliptic boundary value problems; successive Schur complement; two-level block structures", treatment = "T Theoretical or Mathematical", } @Article{Gutknecht:1989:SAS, author = "Martin H. Gutknecht", title = "Stationary and almost stationary iterative $(k,l)$-step methods for linear and nonlinear systems of equations", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "179--213", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "90k:65129", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Swiss Federal Inst. of Technol., Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "(k, l)-step methods; almost stationary; column sums; equivalent; fixed point equation; Frechet differentiable self-mapping; infinite nonsingular upper triangular matrices; iterative methods; linear systems; matrix algebra; nonlinear systems; semiiterative method; unit matrix; upper bandwidth", treatment = "T Theoretical or Mathematical", } @Article{Reichel:1989:OTM, author = "Lothar Reichel", title = "The ordering of tridiagonal matrices in the cyclic reduction method for {Poisson}'s equation", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "215--227", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "90i:65219", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Bergen Sci. Centre, Norway", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic equations; commute; cyclic reduction method; FACR methods; finite differences; FISHPAK; Helmholtz equation; HWSCRT; linear system; matrix algebra; numerical performance; ordering schemes; Poisson equation; rectangle; standard five-point stencil; subroutine; tridiagonal linear system; tridiagonal matrices", treatment = "T Theoretical or Mathematical", } @Article{Hackbusch:1989:FDM, author = "Wolfgang Hackbusch", title = "The frequency decomposition multi-grid method. {I}. Application to anisotropic equations", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "229--245", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "90i:65212", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1120 (Analysis); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Inf. und Praktische Math., Christian-Albrechts-Univ. zu Kiel, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "anisotropic equations; anisotropic problems; frequency decomposition multi-grid method; iterative methods; matrix algebra; multi-grid algorithms; multiple coarse-grid corrections; partial differential equations; prolongations; restrictions; robustness", treatment = "T Theoretical or Mathematical", } @Article{Niethammer:1989:SMP, author = "Wilhelm Niethammer", title = "The {SOR} method on parallel computers", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "247--254", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "90i:65060", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Praktische Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; band matrices; dense matrices; iterative methods; Jacobi overrelaxation method; JOR method; linear systems; matrix algebra; parallel algorithms; parallel computers; parallelization; pipeline principle; processors; SOR iterations; SOR method; speedup", treatment = "T Theoretical or Mathematical", } @Article{Frommer:1989:PIM, author = "Andreas Frommer and G{\"u}nter Mayer", title = "Parallel interval multisplittings", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "255--267", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "90i:65084", MRreviewer = "H. Ratschek", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Angewandte Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; enclose; interval matrix; interval vector; iterative methods; iterative multisplitting methods; matrix algebra; natural parallelism; parallel algorithms; parallel interval multisplittings; quality; set; speed of convergence", treatment = "T Theoretical or Mathematical", } @Article{Frommer:1989:PNM, author = "Andreas Frommer", title = "Parallel nonlinear multisplitting methods", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "269--282", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "90j:65075", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Angewandte Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; exact solution; iterate; iterative methods; linear system; local convergence analysis; matrix algebra; nonlinear splittings; nonlinear system; parallel algorithms; parallel computing environment; parallel iterative methods; parallel nonlinear multisplitting methods", treatment = "T Theoretical or Mathematical", } @Article{Elsner:1989:CWR, author = "Ludwig Elsner", title = "Comparisons of weak regular splittings and multisplitting methods", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "283--289", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91b:65037", MRreviewer = "Stephen W. Brady", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Fakult{\"a}t f{\"u}r Math., Bielefeld Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence rate; iterative methods; iterative procedures; lower bounds; matrix algebra; monotone matrices; multisplitting methods; Neumann-Plemmons; proof; upper bounds; weak regular splittings", treatment = "T Theoretical or Mathematical", } @Article{Wegmann:1989:CMM, author = "Rudolf Wegmann", title = "Conformal mapping by the method of alternating projections", journal = j-NUM-MATH, volume = "56", number = "2/3", pages = "291--307", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "90i:30014", MRreviewer = "D. Gaier", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Max-Planck-Inst. f{\"u}r Astrophys., Garching, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "alternating projections; asymptotic convergence factor; complex Fourier transforms; discretization; functional analytic principle; iterative method; iterative methods; iterative step; linear convergence; local convergence; numerical conformal mapping; operator; Ostrowski; overrelaxation; smooth boundaries; spectral radius; Theodorsen; unit disc", treatment = "T Theoretical or Mathematical", } @Article{Gao:1989:PTE, author = "Feng Gao", title = "A probabilistic theory for error estimation in automatic integration", journal = j-NUM-MATH, volume = "56", number = "4", pages = "309--329", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "90m:65054", MRreviewer = "J. Kofro{\v{n}}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Analysis); C1140Z (Other and miscellaneous); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "automatic integration; automatic quadrature; conditional average error criteria; conditional average error estimation; derivative discretization; derivative-bound error estimates; discrete error criteria; error analysis; error bound; error criteria analysis; error criteria derivation; error estimation; error statistics; error testing; heuristic error criteria; integration; interpolation; local error-checks; mathematical foundation; probabilistic error criteria; probabilistic theory; probability; quantitative model; sample integrand; spline interpolation; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Grozev:1989:CTM, author = "Georgi R. Grozev", title = "Comparison theorems for {$L$}-monosplines of minimal norm", journal = j-NUM-MATH, volume = "56", number = "4", pages = "331--343", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (41A55)", MRnumber = "90m:41021", MRreviewer = "Gheorghe Coman", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Analysis); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4160 (Numerical integration and differentiation)C1110 (Algebra)", corpsource = "Inst. of Math., Bulgarian Acad. of Sci., Sofia, Bulgaria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "comparison theorems; free knots; incidence matrix; integration; L-monosplines; matrix algebra; minimal norm; points; quadrature formulae; set; simple knots; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Reimer:1989:CHS, author = "Manfred Reimer", title = "Cardinal {Hermite-spline-interpolation} on the equidistant lattice", journal = j-NUM-MATH, volume = "56", number = "4", pages = "345--357", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07", MRnumber = "90j:65026", MRreviewer = "Gerhard Merz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Lehrstuhl Math. III, Dortmund Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary polynomial degree; cardinal Hermite spline interpolation; convergence; convergence of numerical methods; equidistant lattice; explicit representation formula; Hermitian fundamental splines; Hermitian order; interpolation; Lagrange-series; Lagrangians; node-shift parameter; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Buttgenbach:1989:SET, author = "B. B{\"u}ttgenbach and R. J. Nessel and E. van Wickeren", title = "Sharp estimates in terms of moduli of smoothness for compound cubature rules", journal = j-NUM-MATH, volume = "56", number = "4", pages = "359--369", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A55 (65D32)", MRnumber = "90j:41051", MRreviewer = "V. Totik", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Lehrstuhl A f{\"u}r Math., RWTH Aachen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; compound cubature rules; interpolation; invariance properties; moduli of smoothness; modulus of continuity; quantitative resonance principle; sharp error bounds; sharp estimates; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Louis:1989:IDP, author = "Alfred K. Louis and Andreas Rieder", title = "Incomplete data problems in {X}-ray computerized tomography. {II}.\ Truncated projections and region-of-interest tomography", journal = j-NUM-MATH, volume = "56", number = "4", pages = "371--383", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "92C55 (44A12 45E99 65R10)", MRnumber = "91a:92004", MRreviewer = "Frank Natterer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1250 (Pattern recognition); C1290L (Biology and medicine); C5260B (Computer vision and picture processing); C7330 (Biology and medicine)", corpsource = "Fachbereich Math., Tech. Univ. Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "angular frequency; computerised picture processing; computerised tomography; consistency conditions; divergent beam transform; fanbeam geometry; incomplete data problems; interior rays; patient diagnosis; region-of-interest tomography; searched-for densities; singular value decomposition; truncated projections; X-ray computerized tomography; X-rays", treatment = "T Theoretical or Mathematical", } @Article{Saranen:1989:EMS, author = "Jukka Saranen", title = "Extrapolation methods for spline collocation solutions of pseudodifferential equations on curves", journal = j-NUM-MATH, volume = "56", number = "4", pages = "385--407", month = oct, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N35", MRnumber = "90k:65179", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Analysis); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Section of Math., Oulu Univ., Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary high powers; asymptotic expansion; boundary integral equations; boundary solution; boundary value problems; boundary-value problems; calculated numbers; curve fitting; curves; discretization parameter; error; extrapolation; extrapolation methods; function approximation; integral equations; pointwise values; postprocessing; pseudodifferential equations; Richardson-type extrapolation schemes; smooth linear functionals approximation; space domain; spline collocation solutions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Kauthen:1989:CTC, author = "J.-P. Kauthen", title = "Continuous time collocation methods for {Volterra--Fredholm} integral equations", journal = j-NUM-MATH, volume = "56", number = "5", pages = "409--424", month = nov, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "90m:65236", MRreviewer = "Jose Cuminato", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Sect. de Math., Geneva Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continuous time collocation; convergence of numerical methods; convergence properties; integral equations; time discretization; Volterra--Fredholm integral equations", treatment = "T Theoretical or Mathematical", } @Article{Berger:1989:CFE, author = "Harald Berger", title = "A convergent finite element formulation for transonic flow", journal = j-NUM-MATH, volume = "56", number = "5", pages = "425--447", month = nov, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (76H05 76M10)", MRnumber = "91g:65204", MRreviewer = "Max D. Gunzburger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4740H (Transonic flows)", corpsource = "Math. Inst., Stuttgart Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2D flow; compactness; convergence of numerical methods; convergent finite element formulation; entropy condition; finite element analysis; full-potential equation; limit function; minimisation; minimization problem; optimal control; transonic flow", treatment = "T Theoretical or Mathematical", } @Article{LopezdeSilanes:1989:EEA, author = "M. C. {L{\'o}pez de Silanes} and R. Arcang{\'e}li", title = "Estimations de l'erreur d'approximation par splines d'interpolation et d'ajustement d'ordre $(m,s)$. ({French}) [{Approximation} error estimates for interpolating and smoothing $(m,s)$-splines]", journal = j-NUM-MATH, volume = "56", number = "5", pages = "449--467", month = nov, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (65D07)", MRnumber = "90m:41022", MRreviewer = "Antonio L{\'o}pez-Carmona", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Matematica Aplicada, ETSII, Zaragoza, Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; error analysis; error estimates; interpolating splines; interpolation; smoothing (m,s)-splines; Sobolev space; splines (mathematics)", language = "French", treatment = "P Practical", } @Article{Auzinger:1989:AEE, author = "W. Auzinger and R. Frank", title = "Asymptotic error expansions for stiff equations: an analysis for the implicit midpoint and trapezoidal rules in the strongly stiff case", journal = j-NUM-MATH, volume = "56", number = "5", pages = "469--499", month = nov, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (65L70)", MRnumber = "91k:65122", MRreviewer = "Syvert P. N{\o}rsett", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte und Numer. Math., Tech. Univ. Wien, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error expansion; convergence of numerical methods; differential equations; eigenvalues; error analysis; global discretization error; global error; implicit midpoint rule; initial value problems; nonlinear stiff initial value problems; stiff equations; strongly stiff case; trapezoidal rules", treatment = "T Theoretical or Mathematical", } @Article{Levrie:1989:IMC, author = "Paul Levrie", title = "Improving a method for computing nondominant solutions of certain second-order recurrence relations of {Poincar{\'e}-type}", journal = j-NUM-MATH, volume = "56", number = "5", pages = "501--512", month = nov, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B10 (26C15 40A30 65Q05)", MRnumber = "90m:65013", MRreviewer = "Pierre Hillion", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Katholieke Industriele. Hogeschool Antwerpen, Hoboken, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic conditions; Bauer-Muir transformation; continued fractions; convergence acceleration; convergence of numerical methods; function approximation; iterative methods; limit periodic continued fractions; nondominant solutions; Poincare relations; recursive functions; second-order recurrence relations; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Steidl:1989:ITM, author = "Gabriele Steidl and Manfred Tasche", title = "Index transforms for multidimensional {DFTs} and convolutions", journal = j-NUM-MATH, volume = "56", number = "5", pages = "513--528", month = nov, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "94A11 (11A99 11Y16 20C05 65T05)", MRnumber = "90m:94015", MRreviewer = "Radomir S. Stankovi{\'c}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B0290Z (Other numerical methods); C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", corpsource = "Sektion Math., Wilhelm-Pieck-Univ. Rostock, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convolutions; Fourier transforms; group theory; group-theoretical ideas; index transforms; m-dimensional arrays; multidimensional DFTs; multivariate discrete Fourier transforms; parallel algorithms; parallel computation", treatment = "T Theoretical or Mathematical", } @Article{Greenbaum:1989:CLS, author = "Anne Greenbaum and Congming Li and Han Zheng Chao", title = "Comparison of linear system solvers applied to diffusion-type finite element equations", journal = j-NUM-MATH, volume = "56", number = "6", pages = "529--546", month = dec, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N30)", MRnumber = "90k:65096", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; diagonal scaling; diffusion-type finite element equations; finite element analysis; finite element approximations; hierarchical basis functions; incomplete Cholesky decomposition; iterative methods; linear algebra; linear system solvers; Neumann--Dirichlet domain decomposition; parallel architectures; parallel machines; performance; preconditioned conjugate gradient methods; preconditioner; self-adjoint elliptic differential operators; serial architectures; serial machines", treatment = "T Theoretical or Mathematical", } @Article{Gutknecht:1989:CFA, author = "Martin H. Gutknecht", title = "Continued fractions associated with the {Newton--Pad{\'e}} table", journal = j-NUM-MATH, volume = "56", number = "6", pages = "547--589", month = dec, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A20 (30B20 41A21)", MRnumber = "91g:41018", MRreviewer = "A. Magnus", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Interdisciplinary Project Center for Supercomput., ETH Zurich, ETH-Zentrum, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adjacent diagonals; block structure; continued fractions; convergents; distinct entries; double sequence; Graves-Morris; Hopkins; interpolation; Magnus P-fractions; Newton--Pad{\'e} table; rational interpolants; rational interpolation table; Thiele fractions; Werner", treatment = "T Theoretical or Mathematical", } @Article{Knoth:1989:GSG, author = "O. Knoth", title = "A globalization scheme for the generalized {Gauss--Newton} method", journal = j-NUM-MATH, volume = "56", number = "6", pages = "591--607", month = dec, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K05 (90C20)", MRnumber = "91a:65157", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Sektion Mathematik, Martin-Luther-Univ., Halle-Wittenberg, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; behaviour; convergence of numerical methods; damping; equality constrained nonlinear least squares problem; exact penalty function; global convergence; globalization scheme; least squares approximations; natural conditions; residual; stepsize strategy; undamped generalized Gauss--Newton method", treatment = "T Theoretical or Mathematical", } @Article{Eichenauer-Herrmann:1989:RLR, author = "J{\"u}rgen Eichenauer-Herrmann and Holger Grothe", title = "A remark on long-range correlations in multiplicative congruential pseudo random number generators", journal = j-NUM-MATH, volume = "56", number = "6", pages = "609--611", month = dec, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65C10 (11K45)", MRnumber = "90m:65017", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics)", corpsource = "Fachbereich Math., Tech. Hochschule, Darmstadt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "composite moduli; long-range correlations; multiplicative congruential pseudo random number generators; number theory; prime moduli; random number generation", treatment = "T Theoretical or Mathematical", } @Article{Zhang:1989:OOM, author = "Shangyou Zhang", title = "An optimal order multigrid method for biharmonic, {$C^1$} finite element equations", journal = j-NUM-MATH, volume = "56", number = "6", pages = "613--624", month = dec, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "90j:65135", MRreviewer = "Dietrich Braess", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "biharmonic finite element equations; biharmonic problems; C/sup 1/ finite element equations; C/sup 1/ macro finite elements; consecutive levels; converges; discretization; finite element analysis; function transfer; Hsieh--Clough--Tocher macro finite elements; interpolation; linear systems; multiple C/sup 1/ finite element spaces; nodal interpolation operator; optimal computational order; optimal order multigrid method", treatment = "T Theoretical or Mathematical", } @Article{Deif:1989:RBP, author = "A. Deif", title = "A relative backward perturbation theorem for the eigenvalue problem", journal = j-NUM-MATH, volume = "56", number = "6", pages = "625--626", month = dec, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "90k:65102", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., King Saud Univ., Riyadh, Saudi Arabia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a-posteriori bound; backward error; computed eigenpair; eigenvalue problem; eigenvalues and eigenfunctions; relative backward perturbation theorem", treatment = "T Theoretical or Mathematical", } @Article{Veselic:1989:NOS, author = "K. Veseli{\'c} and V. Hari", title = "A Note on a One-Sided {Jacobi} Algorithm", journal = j-NUM-MATH, volume = "56", number = "6", pages = "627--633", month = dec, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "91a:65098", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Lehrgebiet Math Phys., Fernuniv. Hagen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cholesky decomposition; columnwise; eigenvalues and eigenfunctions; eigenvectors; implicit Jacobi algorithm; Jacobi diagonalization algorithm; matrix; matrix algebra; one-sided Jacobi algorithm; positive definite matrices; square array; storage economy; symmetric QL algorithm", treatment = "T Theoretical or Mathematical", } @Article{Pierce:1990:ORC, author = "Daniel J. Pierce and Apostolos Hadjidimos and Robert J. Plemmons", title = "Optimality relationships for $p$-cyclic {SOR}", journal = j-NUM-MATH, volume = "56", number = "7", pages = "635--643", month = jan, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "91d:65056", MRreviewer = "Derek S. Henderson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p$-cyclic SOR; approximation theory; block $p$-cyclic matrix; block Jacobi matrix; iterations; iterative methods; optimality relationships; repartitioning", treatment = "T Theoretical or Mathematical", } @Article{Bank:1990:CIM, author = "Randolph E. Bank and Bruno D. Welfert and Harry Yserentant", title = "A class of iterative methods for solving saddle point problems", journal = j-NUM-MATH, volume = "56", number = "7", pages = "645--666", month = jan, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N22 65N30)", MRnumber = "91b:65035", MRreviewer = "L. W. Ehrlich", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., California Univ., San Diego, La Jolla, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; finite element approximations; indefinite systems; iterative methods; linear equations; numerical solution; partial differential equations; rates of convergence; saddle point problems; Stokes equations; Uzawa algorithm", treatment = "T Theoretical or Mathematical", } @Article{Kloeden:1990:NMM, author = "P. E. Kloeden and J. Lorenz", title = "A note on multistep methods and attracting sets of dynamical systems", journal = j-NUM-MATH, volume = "56", number = "7", pages = "667--673", month = jan, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (34A45 58F13)", MRnumber = "91i:65128", MRreviewer = "Wolf-J{\"u}rgen Beyn", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1320 (Stability); C4170 (Differential equations)", corpsource = "Sch. of Math. and Phys. Sci., Murdoch Univ., WA, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "attracting sets; attractors; differential equations; dynamical systems; Lyapunov function; Lyapunov methods; multistep methods; ODE", treatment = "T Theoretical or Mathematical", } @Article{Herceg:1990:UFO, author = "Dragoslav Herceg", title = "Uniform fourth order difference scheme for a singular perturbation problem", journal = j-NUM-MATH, volume = "56", number = "7", pages = "675--693", month = jan, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "91f:65137", MRreviewer = "V. F. Butuzov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. of Math., Novi Sad Univ., Yugoslavia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; boundary-value problems; difference equations; discretization mesh; Hermitian approximation; nonlinear singularly perturbed two-point boundary value problem; numerical solution; singular perturbation problem; uniform fourth order difference scheme", treatment = "T Theoretical or Mathematical", } @Article{Hundsdorfer:1990:ACC, author = "Willem H. Hundsdorfer and Josef Schneid", title = "An algebraic characterization of ${B}$-convergent {Runge--Kutta} methods", journal = j-NUM-MATH, volume = "56", number = "7", pages = "695--705", month = jan, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "91c:65050", MRreviewer = "Neide Bertoldi Franco", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1320 (Stability); C4170 (Differential equations)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic characterization; B-convergent Runge--Kutta methods; discretization methods; dissipative problems; error bounds; initial value problems; necessary and sufficient conditions; Runge--Kutta methods; stability; stiff initial value problems", treatment = "T Theoretical or Mathematical", } @Article{Niijima:1990:PEE, author = "Koichi Niijima", title = "Pointwise error estimates for a streamline diffusion finite element scheme", journal = j-NUM-MATH, volume = "56", number = "7", pages = "707--719", month = jan, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "91h:65178", MRreviewer = "Reinhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory)", corpsource = "Dept. of Control Eng. and Sci., Kyushu Inst. of Technol., Iizuka, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convection; finite element analysis; model convection-dominated singularly perturbed convection-diffusion problem; pointwise error estimates; streamline diffusion finite element scheme; streamline diffusion scheme", treatment = "T Theoretical or Mathematical", } @Article{Ho:1990:TAT, author = "Diem Ho", title = "{Tchebychev} acceleration technique for large scale nonsymmetric matrices", journal = j-NUM-MATH, volume = "56", number = "7", pages = "721--734", month = jan, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (65F10)", MRnumber = "91d:65059", MRreviewer = "Jan Z{\'i}tko", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "IBM Sci. Center, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenspectrum; eigenvalues and eigenfunctions; iteration; iterative methods; large scale nonsymmetric matrices; nonsymmetric eigenvalue problems; nonsymmetric linear systems; optimal ellipse; Tchebychev acceleration technique", treatment = "T Theoretical or Mathematical", } @Article{Banerjee:1990:EEN, author = "Uday Banerjee and John E. Osborn", title = "Estimation of the Effect of Numerical Integration in Finite Element Eigenvalue Approximation", journal = j-NUM-MATH, volume = "56", number = "8", pages = "735--762", month = feb, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65D30 65N25)", MRnumber = "91d:65163", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Syracuse Univ., NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; finite element analysis; finite element eigenvalue approximation; function approximation; integration; matrix algebra; numerical integration; quadrature; selfadjoint eigenvalue problems", treatment = "P Practical", } @Article{Motta:1990:PAS, author = "Santo Motta and Giovanni Russo and Hardy Moock and Joachim Wick", title = "Point Approximation of a Space-Homogeneous Transport Equation", journal = j-NUM-MATH, volume = "56", number = "8", pages = "763--774", month = feb, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "45L05", MRnumber = "91h:45009", MRreviewer = "Peter Junghanns", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory); C4170 (Differential equations)", corpsource = "Dipartimento di Matematica, Citta Univ., Catania, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation method; Boltzmann equation; convergence of numerical methods; convergent; exact solution; master equation; numerical computation; partial differential equations; space-homogeneous transport equation", treatment = "T Theoretical or Mathematical", } @Article{Monegato:1990:NRG, author = "G. Monegato and P. Lepora", title = "On the Numerical Resolution of the Generalized Airfoil Equation with {Possion} Kernel", journal = j-NUM-MATH, volume = "56", number = "8", pages = "775--787", month = feb, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45E05 45L05)", MRnumber = "91e:65162", MRreviewer = "Jose Cuminato", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dipartimento di Matematica, Politecnico di Torino, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "collocation; convergence of numerical methods; Galerkin matrices; generalized airfoil equation; integral equations; numerical resolution; Possio kernel; quadrature rules; singular integral equation", treatment = "P Practical", } @Article{McArthur:1990:SMM, author = "Kelly M. McArthur and Kenneth L. Bowers and John Lund", title = "The {Sinc} method in multiple space dimensions: model problems", journal = j-NUM-MATH, volume = "56", number = "8", pages = "789--816", month = feb, year = "1990", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01405289", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (65N30)", MRnumber = "91c:65061", MRreviewer = "Long An Ying", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Utah Univ., Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; convergence of numerical methods; exponential convergence rate; multiple space dimensions; partial differential equations; second order partial differential equations; Sinc--Galerkin method; singularities; test problems", treatment = "T Theoretical or Mathematical", } @Article{Bojanov:1990:COQ, author = "Borislav Bojanov and Daren Huang", title = "Comparison of Optimal Quadrature Formulas", journal = j-NUM-MATH, volume = "56", number = "8", pages = "817--825", month = feb, year = "1990", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01405290", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (41A55)", MRnumber = "91d:65041", MRreviewer = "Helmut Bra{\ss}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Sofia Univ., Bulgaria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "derivatives; end point terms; interpolation; monotonicity; optimal quadrature formulas; quasi-Hermitian type; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Stenberg:1990:SNF, author = "Rolf Stenberg", title = "Some New Families of Finite Elements for the {Stokes} Equations", journal = j-NUM-MATH, volume = "56", number = "8", pages = "827--838", month = feb, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "91d:65176", MRreviewer = "John C. Strikwerda", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "INRIA Rocquencourt, Le Chesnay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; finite element analysis; finite elements; function approximation; mixed finite element families; optimally convergent discretizations; Stokes equations", treatment = "T Theoretical or Mathematical", } @Article{Leyk:1990:GMO, author = "Zbigniew Leyk", title = "{Galerkin} Method and Optimal Error Algorithms in {Hilbert} Spaces", journal = j-NUM-MATH, volume = "57", number = "1", pages = "1--14", month = mar, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (65N30)", MRnumber = "91k:65094", MRreviewer = "E. G. D\cprime yakonov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Math. Sci. Inst., Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; bounded operators; coercive operators; dual; error analysis; functional analysis; Galerkin method; Hilbert spaces; linear operators; operator equations; optimal error algorithms; orthogonal projector; quasi optimal; subspace", treatment = "T Theoretical or Mathematical", } @Article{Wittum:1990:CMG, author = "Gabriel Wittum", title = "On the convergence of multi-grid methods with transforming smoothers --- theory with applications to the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "57", number = "1", pages = "15--38", month = mar, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N12 (76D05 76M20)", MRnumber = "91d:65156", MRreviewer = "Hans-Eberhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); C1120 (Analysis); C4170 (Differential equations)", corpsource = "Heidelberg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence proof; convergence theory; Hackbusch; multi-grid methods; Navier--Stokes equations; partial differential equations; scalar PDE; transforming smoothers", treatment = "T Theoretical or Mathematical", } @Article{Calvo:1990:ZSV, author = "M. Calvo and T. Grande and Rolf Dieter Grigorieff", title = "On the Zero Stability of the Variable Order Variable Stepsize {BDF-Formulas}", journal = j-NUM-MATH, volume = "57", number = "1", pages = "39--50", month = mar, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "91e:65093", MRreviewer = "Henning Esser", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Analysis); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. de Matematica Aplicada, Zaragoza Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "backward differentiation formulas; bounds; convergence of numerical methods; differential equations; differentiation; mesh-size ratios; nonequidistant grids; variable order variable stepsize BDF-formulas; zero stability", treatment = "T Theoretical or Mathematical", } @Article{Marti:1990:SPC, author = "J{\"u}rg T. Marti", title = "Small potential corrections for the discrete {Eigenvalues} of the {Sturm--Liouville} problem", journal = j-NUM-MATH, volume = "57", number = "1", pages = "51--62", month = mar, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L15", MRnumber = "91d:65115", MRreviewer = "N. L. Vulchanov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Seminar f{\"u}r Angewandte Math., ETH Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; asymptotic corrections; behaviour; discrete eigenvalues; discretization; eigenvalue problem; eigenvalues and eigenfunctions; error analysis; error estimates; estimates; finite element method; Fourier analysis; inverse Sturm--Liouville problem; potential corrections; potential function; Sobolev inequalities", treatment = "T Theoretical or Mathematical", } @Article{Plato:1990:RPM, author = "R. Plato and G. Vainikko", title = "On the regularization of projection methods for solving ill-posed problems", journal = j-NUM-MATH, volume = "57", number = "1", pages = "63--79", month = mar, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (45L05 65R20)", MRnumber = "91h:65097", MRreviewer = "Heinz W. Engl", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ. Berlin, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori parameter choice method; a priori parameter choice method; approximate right hand side; approximation theory; convergence rates; discrepancy principle; discretized version; fractional powers; ill-posed problems; Ivanov-Morozov; operator equation; projection methods; regularization methods; selfadjoint operators", treatment = "T Theoretical or Mathematical", } @Article{Smoch:1990:AEM, author = "Martin Smoch", title = "{Anmerkungen zu einem Mehrgitterverfahren f{\"u}r lineare Komplementarit{\"a}tsprobleme}. ({German}) [{Remarks} on a multigrid method for linear complementarity problems]", journal = j-NUM-MATH, volume = "57", number = "1", pages = "80--83", month = mar, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K05 (49J40)", MRnumber = "91a:65164", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0365 (Quantum theory; quantum mechanics)", corpsource = "Inst. f{\"u}r Numerische und Instrum. Math., Westfalische Welhelms-Univ., M{\"u}nster, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complementarity; convergence; multigrid method; positive definite linear complementarity problems; quantum theory; sparse linear complementarity problems; symmetric linear complementarity problems", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Hanke:1990:PSR, author = "Martin Hanke and Michael Neumann", title = "Preconditionings and Splittings for Rectangular Systems", journal = j-NUM-MATH, volume = "57", number = "1", pages = "85--95", month = mar, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65F35)", MRnumber = "91d:65053", MRreviewer = "Guo Liang Chen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. for Praktische Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; converge; fixed point operator; fixed point system; inconsistent; iterative methods; limit point; minimal norm least squares solution; powers; preconditioning; reconditionings; rectangular systems; semiiterative method; semiiterative methods; splittings; stipulations; weighted Moore--Penrose solution", treatment = "T Theoretical or Mathematical", } @Article{Dagnino:1990:PIS, author = "Catterina Dagnino", title = "Product Integration of Singular Integrands Based on Cubic Spline Interpolation at Equally Spaced Nodes", journal = j-NUM-MATH, volume = "57", number = "1", pages = "97--104", month = mar, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30", MRnumber = "91h:65036", MRreviewer = "S. Dubuc", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Analysis); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Dipartimento di Energetica, L'Aquila Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; cubic spline interpolation; end-point singularity; equally spaced nodes; integral equations; integrand functions; integration; integration interval; interior singularity; interpolation; not-a-knot end condition; product integration rules; singular integrands; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Chui:1990:CMQ, author = "Charles K. Chui and Harvey Diamond", title = "A Characterization of Multivariate Quasi-interpolation Formulas and its Applications", journal = j-NUM-MATH, volume = "57", number = "2", pages = "105--121", month = apr, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A05 (41A15 41A63 65D05)", MRnumber = "91e:41002", MRreviewer = "Len Bos", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; characterization; compactly supported function; curve fitting; direct calculation; function approximation; generalization; generator; interpolation; least squares approximations; linear space; linear span; mu-approximation; mu-interpolation; multi-integer translates; multivariate quasi-interpolation formulas; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Rahman:1990:CSC, author = "Qazi I. Rahman and Gerhard Schmeisser", title = "Characterization of the Speed of Convergence of the Trapezoidal Rule", journal = j-NUM-MATH, volume = "57", number = "2", pages = "123--138", month = apr, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (41A55 46E99)", MRnumber = "91d:65040", MRreviewer = "J. Kofro{\v{n}}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. de Mathe. et de Stat., Montreal Univ., Que., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; characterize; convergence of numerical methods; correspondence; exponential type; holomorphic; infinitely differentiable functions; nodes; prescribed rate; regularity properties; Sobolev spaces; speed of convergence; strip; tends to infinity; trapezoidal rule", treatment = "T Theoretical or Mathematical", } @Article{Ramm:1990:CSI, author = "A. G. Ramm and A. van der Sluis", title = "Calculating singular integrals as an ill-posed problem", journal = j-NUM-MATH, volume = "57", number = "2", pages = "139--145", month = apr, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30", MRnumber = "91m:65065", MRreviewer = "C. Dagnino", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Analysis); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Kansas State Univ., Manhattan, KS, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; data errors; ill-posed problem; integration; numerical quadrature; singular integrals; uncontrolled instability", treatment = "T Theoretical or Mathematical", } @Article{Nevanlinna:1990:LAP, author = "Olavi Nevanlinna", title = "Linear acceleration of {Picard--Lindel{\"o}f} iteration", journal = j-NUM-MATH, volume = "57", number = "2", pages = "147--156", month = apr, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B99 (65L05)", MRnumber = "91d:65008", MRreviewer = "Ekkehard Wagenf{\"u}hrer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; infinitely long intervals; iterates; iterative methods; linear acceleration; linear combinations; Picard--Lindelof iteration; Picard--Lindelof process", treatment = "T Theoretical or Mathematical", } @Article{Verwer:1990:CPR, author = "J. G. Verwer and W. H. Hundsdorfer and B. P. Sommeijer", title = "Convergence Properties of the {Runge--Kutta--Chebyshev} Method", journal = j-NUM-MATH, volume = "57", number = "2", pages = "157--178", month = apr, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34A45 65L20 65M12)", MRnumber = "91d:65102", MRreviewer = "Neide Bertoldi Franco", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Analysis); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "1st order schemes; 2nd order schemes; Chebyshev approximation; convergence of numerical methods; differential equations; error bounds; explicit integration; extended real stability interval; full convergence; fully discrete solution; integration; internal stability; linear problems; method of lines; ordinary differential equations; parabolic partial differential equations; Runge--Kutta methods; Runge--Kutta--Chebyshev method; s-stage Runge--Kutta method; simultaneous space-time grid refinement; spatial discretization; stiff systems; time-step restriction", treatment = "T Theoretical or Mathematical", } @Article{Choudury:1990:FDG, author = "G. Choudury", title = "Fully Discrete {Galerkin} Approximations of Parabolic Boundary-Value Problems with Nonsmooth Boundary Data", journal = j-NUM-MATH, volume = "57", number = "2", pages = "179--203", month = apr, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "91f:65165", MRreviewer = "H. Marcinkowska", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math. Sci., Cincinnati Univ., OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; backward Euler time discretization; boundary-value problems; convergence of numerical methods; convergence properties; fully discrete Galerkin approximation; nonsmooth Dirichlet boundary data; parabolic boundary-value problems; semigroup theory", treatment = "T Theoretical or Mathematical", } @Article{Marion:1990:NGM, author = "M. Marion and R. Temam", title = "Nonlinear {Galerkin} Methods: The Finite Elements Case", journal = j-NUM-MATH, volume = "57", number = "3", pages = "205--226", month = may, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65J15)", MRnumber = "92d:65200", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Lab. d'Anal. Num{\'e}rique, Univ. Paris-Sud, Orsay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2D Navier--Stokes equation; attractor; convergence; convergence of numerical methods; dynamical systems; evolution equations; finite element analysis; finite elements; hierarchical bases; incremental unknown; Kuramoto-Swashinsky equation; Navier--Stokes equations; nonlinear Galerkin method; space discretization; stability; triangulation", treatment = "T Theoretical or Mathematical", } @Article{Huang:1990:MGA, author = "Ziping Huang", title = "A Multi-Grid Algorithm for Mixed Problems with Penalty", journal = j-NUM-MATH, volume = "57", number = "3", pages = "227--247", month = may, year = "1990", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386408", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K10 73V15)", MRnumber = "91i:65179", MRreviewer = "Dietrich Braess", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Fac. of Appl. Math., Tongji Univ., Shanghai, China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence rate; finite element analysis; finite element approximation; Jacobi relaxation; MINI-element; mixed problems with penalty; multi-grid algorithm; smoothing operator", treatment = "T Theoretical or Mathematical", } @Article{Dekker:1990:RBA, author = "K. Dekker and J. F. B. M. Kraaijevanger and J. Schneid", title = "On the relation between algebraic stability and {$B$}-convergence for {Runge--Kutta} methods", journal = j-NUM-MATH, volume = "57", number = "3", pages = "249--262", month = may, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (65L20)", MRnumber = "91j:65125a", MRreviewer = "Henning Esser", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Dekker:1990:ERB}.", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Delft Univ. of Technol., Fac. of Tech. Math. and Inf., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic stability; B-convergence; contractivity; convergence of numerical methods; differential equations; error bounds; initial value problems; necessary; one-sided Lipschitz constant; ordinary differential equations; Runge--Kutta methods; smoothness; stage-order; stepsizes; stiff initial value problems; sufficient", treatment = "T Theoretical or Mathematical", } @Article{Bialecki:1990:SQR, author = "Bernard Bialecki", title = "A {Sinc} Quadrature Rule for {Hadamard} Finite-part Integrals", journal = j-NUM-MATH, volume = "57", number = "3", pages = "263--269", month = may, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "91i:65049", MRreviewer = "Helmut Bra{\ss}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290R (Integral equations); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex plane; error analysis; error estimates; general arc; Hadamard finite-part integrals; integral equations; integration; sinc quadrature rule", treatment = "T Theoretical or Mathematical", } @Article{Notaris:1990:ENG, author = "Sotirios E. Notaris", title = "The error norm of {Gaussian} quadrature formulae for weight functions of {Bernstein--Szeg{\H{o}}} type", journal = j-NUM-MATH, volume = "57", number = "3", pages = "271--283", month = may, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "92a:65080", MRreviewer = "S. Dubuc", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math. Sci., Indiana Univ., Indianapolis, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bernstein--Szeg{\H{o}} type; Bernstein--Szeg{\H{o}} weight functions; Chebyshev weights; error analysis; error functional; Gaussian quadrature formulae; integration; polynomials; quadratic polynomial; quadrature formulae; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Freund:1990:CGT, author = "Roland Freund", title = "On Conjugate Gradient Type Methods and Polynominal Preconditioners for a Class of Complex Non-{Hermitian} Matrices", journal = j-NUM-MATH, volume = "57", number = "3", pages = "285--312", month = may, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N22)", MRnumber = "91m:65091", MRreviewer = "Guo Liang Chen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Angewandte Math. und Stat., Wurzburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex Helmholtz equation; complex nonHermitian matrices; conjugate gradient type methods; error analysis; error bounds; Euclidean error minimization; finite difference approximations; iterative methods; matrix algebra; minimal residual property; MINRES; polynomial preconditioners; real symmetric matrices; SYMMLQ", treatment = "T Theoretical or Mathematical", } @Article{Thakur:1990:DAO, author = "Lakshman S. Thakur", title = "A Direct Algorithm for Optimal Quadratic Splines", journal = j-NUM-MATH, volume = "57", number = "4", pages = "313--332", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07 (41A15)", MRnumber = "91i:65025", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Connecticut Univ., Storrs, CT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "direct algorithm; interpolation; lower bounds; optimal quadratic splines; polynomials; splines (mathematics); upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Schmidt:1990:DAC, author = "Jochen W. Schmidt and Isa Scholz", title = "A dual algorithm for convex-concave data smoothing by cubic ${C}^2$-splines", journal = j-NUM-MATH, volume = "57", number = "4", pages = "333--350", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D10 (41A15)", MRnumber = "91g:65030", MRreviewer = "Girdhar G. Agarwal", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Sektion Math., Tech. Univ., Dresden, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "concave dual program; convex programming; convex-concave data smoothing; cubic C/sup 2/-splines; dual algorithm; finite dimensional convex program; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Shanahan:1990:TFE, author = "Robert M. Shanahan and John W. Barrett", title = "Total Flux Estimates for a Finite Element Approximation of the {Dirichlet} Problem Using the Boundary Penalty Method", journal = j-NUM-MATH, volume = "57", number = "4", pages = "351--363", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "91i:65181", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; boundary penalty method; Dirichlet problem; elliptic equation; finite element analysis; finite element approximation; piecewise linear", treatment = "T Theoretical or Mathematical", } @Article{Sidi:1990:GRE, author = "Avram Sidi", title = "On a Generalization of the {Richardson} Extrapolation Process", journal = j-NUM-MATH, volume = "57", number = "4", pages = "365--377", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B05 (40A30)", MRnumber = "91j:65004", MRreviewer = "Mariano Gasca", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence result; extrapolation; generalization; Richardson extrapolation process; T-transformation", treatment = "T Theoretical or Mathematical", } @Article{vonPetersdorff:1990:CMM, author = "T. von Petersdorff and E. P. Stephan", title = "On the Convergence of the Multigrid Method for a Hypersingular Integral Equation of the First Kind", journal = j-NUM-MATH, volume = "57", number = "4", pages = "379--391", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (65N30)", MRnumber = "92e:65173", MRreviewer = "William F. Moss", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Fachbereich Math., Tech. Hochschule, Darmstadt, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; damped Jacobi iteration; first kind; Galerkin schemes; Gauss--Seidel iteration; hypersingular integral equation; integral equations; iterative methods; Laplacian; Lipschitz surface; multigrid method; SOR; three dimensional Neumann problems; V-cycles; W-cycles", treatment = "T Theoretical or Mathematical", } @Article{Garus:1990:CSP, author = "Rainer Garus and Tassilo K{\"u}pper", title = "Computation of the smallest positive eigenvalue of a quadratic $\lambda$-matrix", journal = j-NUM-MATH, volume = "57", number = "4", pages = "393--403", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (15A18 15A22)", MRnumber = "91k:65069", MRreviewer = "Moody T. Chu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Fachbereich Math., Dortmund Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; matrix algebra; quadratic $\lambda$-matrix; shift techniques; smallest positive eigenvalue; stability", treatment = "T Theoretical or Mathematical", } @Article{Saridakis:1990:DDU, author = "Yiannis G. Saridakis", title = "Domains of divergence of the {USSOR} method applied on $p$-cyclic matrices", journal = j-NUM-MATH, volume = "57", number = "4", pages = "405--412", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "91g:65070", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math. and Comput. Sci., Clarkson Univ., Potsdam, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p$-cyclic matrices; bounds; domains of divergence; eigenvalues; eigenvalues and eigenfunctions; general functional equation; iterative methods; matrix algebra; USSOR method; weakly cyclic Jacobi iteration matrix", treatment = "T Theoretical or Mathematical", } @Article{Li:1990:DTB, author = "Likang Li", title = "Discretization of the {Timoshenko} beam problem by the $p$ and the $h$-$p$ versions of the finite element method", journal = j-NUM-MATH, volume = "57", number = "4", pages = "413--420", month = jun, year = "1990", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01386420", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K05 73V05)", MRnumber = "92e:65152", MRreviewer = "Ming You Huang", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4620 (Continuum mechanics)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$h$-$p$ versions; $p$-versions; classical mechanics of continuous media; discretization; finite element analysis; finite element method; locking phenomenon; optimal error estimates; Timoshenko beam problem", treatment = "T Theoretical or Mathematical", } @Article{Sikorski:1990:ANO, author = "K. Sikorski and G. M. Trojan", title = "Asymptotic Near Optimality of the Bisection Method", journal = j-NUM-MATH, volume = "57", number = "5", pages = "421--433", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "91h:65079", MRreviewer = "De Ren Wang", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Utah Univ., Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; arbitrary linear functionals; arbitrary transformations; asymptotic near optimality; bisection algorithm; bisection method; bounded multiplicity; computational complexity; function evaluations; infinite multiplicity; infinitely differentiable function", treatment = "T Theoretical or Mathematical", } @Article{Borgers:1990:DIM, author = "Christoph B{\"o}rgers", title = "Domain Imbedding Methods for the {Stokes} Equations", journal = j-NUM-MATH, volume = "57", number = "5", pages = "435--451", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N22 (35Q30 65F10 76D07 76M20)", MRnumber = "92d:65179", MRreviewer = "Vladim{\'i}r Janovsk\'y", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continuous analysis; fast Fourier transforms; FFT-based fast solver; flow; iterative domain imbedding methods; iterative methods; physical boundary conditions; smooth domains; Stokes equations", treatment = "T Theoretical or Mathematical", } @Article{Vuik:1990:EEA, author = "C. Vuik", title = "An {$L^2$}-error estimate for an approximation of the solution of a parabolic variational inequality", journal = j-NUM-MATH, volume = "57", number = "5", pages = "453--471", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "91h:65182", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Fac. der Wiskunde en Inf., Tech. Univ., Delft, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; finite difference discretization; finite element discretization; L/sup 2/-error estimate; parabolic variational inequality; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Fiala:1990:MIF, author = "Tibor Fiala", title = "On the Monotonity of Incomplete Factorization", journal = j-NUM-MATH, volume = "57", number = "5", pages = "473--479", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "91g:65065", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Deceison Anal., Nat. Manage. Dev. Centre, Budapest, Hungary", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "incomplete factorization; iteration matrix; iterative methods; matrix algebra; monotonity; nonnegative matrices; Perron Frobenius theory; position set; spectral radius", treatment = "T Theoretical or Mathematical", } @Article{Trouve:1990:CME, author = "P. Trouv{\'e}", title = "Sur la convergence des m{\'e}thodes d'{\'e}l{\'e}ments finis nonconformes pour des probl{\`e}mes lin{\'e}aires de coques minces. ({French}) [{On} the convergence of nonconformal finite-element methods for linear thin-shell problems]", journal = j-NUM-MATH, volume = "57", number = "5", pages = "481--524", month = jun, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K15 73V05)", MRnumber = "91g:65251", MRreviewer = "Georges A. Lebaud", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Thomson-CSF/Lab. Central de Recherches, Orsay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; convergence; convergence of numerical methods; error estimate; finite element analysis; linear thin shell problems; nonconforming finite element method; stresses; sufficient conditions", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Birkhoff:1990:SCQ, author = "Garrett Birkhoff and Robert E. Lynch", title = "Some Current Questions on Solving Linear Elliptic Problems", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "527--545", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91g:65228", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Harvard Univ., Cambridge, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convection-diffusion equation; difference approximations; difference equations; Dirichlet problem; discrete harmonic functions; iterative methods; linear algebra; linear elliptic problems; matrix representation", treatment = "T Theoretical or Mathematical", } @Article{Ciarlet:1990:NCV, author = "P. G. Ciarlet", title = "A New Class of Variational Problems Arising in the Modeling of Elastic Multi-Structures", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "547--560", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91f:65166", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630C (Elasticity)", corpsource = "Lab. d'Analyse Num{\'e}rique, Univ. Pierre et Marie Curie, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "elastic multi-structures; elasticity; structural engineering; substructures; variational problems; variational techniques", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Kerkhoven:1990:SFE, author = "Thomas Kerkhoven and Joseph W. Jerome", title = "{$L_\infty$} stability of finite element approximations to elliptic gradient equations", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "561--575", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91g:65241", MRreviewer = "I. Christie", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Illinois Univ., Urbana-Champaign, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "elliptic gradient equations; finite element analysis; piecewise linear finite element approximations; piecewise-linear techniques; stability", treatment = "T Theoretical or Mathematical", } @Article{Cordova:1990:VMC, author = "Antonio C{\'o}rdova and Walter Gautschi and Stephan Ruscheweyh", title = "{Vandermonde} matrices on the circle: spectral properties and conditioning", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "577--591", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91i:15008", MRreviewer = "Ching-Tsuan Pan", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Math. Inst., Wurzburg Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "circle; condition numbers; eigenvectors; matrix algebra; multiplicities; polynomials; singular values; theory of polynomials; Van der Corput sequence; Vandermonde matrices", treatment = "T Theoretical or Mathematical", } @Article{Eiermann:1990:OSO, author = "Michael Eiermann and Wilhelm Niethammer and Arden Ruttan", title = "Optimal successive overrelaxation iterative methods for {$P$}-cyclic matrices", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "593--606", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91m:65090", MRreviewer = "Jan Z{\'i}tko", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Praktische Math., Karlsruhe Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues; iterative methods; linear systems; matrix algebra; P-cyclic matrices; relaxation theory; SOR; successive overrelaxation", treatment = "T Theoretical or Mathematical", } @Article{Golub:1990:MMI, author = "Gene H. Golub and Martin H. Gutknecht", title = "Modified Moments for Indefinite Weight Functions", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "607--624", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30E05 (41A10 65F99)", MRnumber = "91i:30034", MRreviewer = "Jia Rong Yu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", abstract = "The problem of generating the recurrence coefficients of orthogonal polynomials from the moments or from modified moments of the weight function is well understood for positive weight distributions. The authors extend this theory and the basic algorithms to the case of an indefinite weight function. While the generic indefinite case is formally not much different from the positive definite case, there exist nongeneric degenerate situations, and these require a different more complicated treatment. The understanding of these degenerate situations makes it possible to construct a stable approximate solution of an ill-conditioned problem. The application to adaptive iterative methods for linear systems of equations is anticipated.", acknowledgement = ack-nhfb # " and " # ack-sf, affiliation = "Dept. of Comput. Sci., Stanford Univ., CA, USA", classification = "C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Stanford Univ., CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive iterative methods; Adaptive iterative methods; degenerate situations; Degenerate situations; ill-conditioned problem; Ill-conditioned problem; indefinite weight functions; Indefinite weight functions; iterative methods; linear algebra; linear systems; Linear systems; orthogonal polynomials; Orthogonal polynomials; polynomials", thesaurus = "Iterative methods; Linear algebra; Polynomials", treatment = "T Theoretical or Mathematical", } @Article{James:1990:ISA, author = "Douglas James and Robert J. Plemmons", title = "An Iterative Substructuring Algorithm for Equilibrium Equations", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "625--633", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91f:65066", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math. and Comput. Sci., North Carolina State Univ., Raleigh, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradient iterative algorithm; direct reduction; equilibrium equations; iterative methods; iterative substructuring methods; matrix algebra; substructures", treatment = "T Theoretical or Mathematical", } @Article{Akhlaghi:1990:ESC, author = "M. R. Akhlaghi and A. Jakimovski and A. Sharma", title = "Equiconvergence of some complex interpolatory polynomials", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "635--649", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91h:41002", MRreviewer = "V. Totik", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Alberta Univ., Edmonton, Alta., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; Hermite interpolation; interpolation; interpolatory polynomials; Lagrange interpolant; polynomials; Taylor expansion; Walsh equiconvergence", treatment = "T Theoretical or Mathematical", } @Article{Alfeld:1990:DBS, author = "Peter Alfeld and Larry L. Schumaker", title = "On the dimension of bivariate spline spaces of smoothness $r$ and degree $d=3r+1$", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "651--661", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91h:65022", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Utah Univ., Salt Lake City, UT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary triangulations; bivariate spline spaces; continuous derivatives; dimension formulae; piecewise polynomials; polygonal; polynomials; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Berens:1990:CSM, author = "H. Berens and M. Finzel", title = "A Continuous Selection of the Metric Projection in Matrix Spaces, Addendum", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "663--667", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91e:41039", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Math. Inst., Erlangen Univ., N{\"u}rnberg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "globally Lipschitz-continuous; matrix algebra; matrix spaces; metric projection", treatment = "T Theoretical or Mathematical", } @Article{Lorentz:1990:BHI, author = "G. G. Lorentz and R. A. Lorentz", title = "Bivariate {Hermite} Interpolation and Applications to Algebraic Geometry", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "669--680", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "92f:41004", MRreviewer = "A. Hirschowitz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas Univ., Austin, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Algebraic Geometry; Hermite interpolation; interpolation", treatment = "T Theoretical or Mathematical", } @Article{Rabier:1990:CMS, author = "Patrick J. Rabier and Werner C. Rheinboldt", title = "On a Computational Method for the Second Fundamental Tensor and its Application to Bifurcation Problems", journal = j-NUM-MATH, volume = "57", number = "6/7", pages = "681--694", month = jul, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "", MRnumber = "91h:65088", MRreviewer = "Fu Ming Ma", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "Paper presented at the Conference on Approximation Theory and Numerical Linear Algebra, 30 March -- 1 April, 1989, Kent, Ohio.", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math. and Stat., Pittsburgh Univ., PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bifurcation problems; computational determination; dependability; efficiency; functionals; linear algebra; multiple bifurcation directions; Riemannian submanifold; second fundamental tensor; tensors", treatment = "T Theoretical or Mathematical", } @Article{Gragg:1990:DCM, author = "W. B. Gragg and L. Reichel", title = "A Divide and Conquer Method for Unitary and Orthogonal Eigenproblems", journal = j-NUM-MATH, volume = "57", number = "8", pages = "695--718", month = aug, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "91h:65052", MRreviewer = "Alan L. Andrew", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B6140 (Signal processing and detection); C1260 (Information theory); C4140 (Linear algebra)", corpsource = "Dept. of Math., Naval Postgraduate Sch., Monterey, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "divide and conquer method; eig; eigenvalues and eigenfunctions; eigenvectors; matrix algebra; nla; orthogonal eigenproblems; orthogonal matrix; parallel computer; poles and zeros; prll; rank-one modification; rational function; signal processing; unit circle; unitary upper Hessenberg matrix; zeros", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Reichel:1990:FSM, author = "Lothar Reichel", title = "Fast Solution Methods for {Fredholm} Integral Equations of the Second Kind", journal = j-NUM-MATH, volume = "57", number = "8", pages = "719--736", month = aug, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45B05 45L05)", MRnumber = "91i:65211", MRreviewer = "Jose Cuminato", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1120 (Analysis); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic equations; approximate solution; Chebyshev approximation; Chebyshev-Galerkin method; fast solution methods; Fourier analysis; Fredholm integral equations; integral equations; iterative methods; iterative solution; linear system; Nystr{\"o}m method; second kind; smooth kernel", treatment = "T Theoretical or Mathematical", } @Article{Todd:1990:WMP, author = "John Todd", title = "The {Weierstrass} mean. {I}. The periods of $\wp (z\vert e_1,e_2,e_3)$", journal = j-NUM-MATH, volume = "57", number = "8", pages = "737--746", month = aug, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D20 (33E05)", MRnumber = "91m:65057", MRreviewer = "Syvert P. N{\o}rsett", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "California Inst. of Technol., Pasadena, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; elliptic objects; limits; numerical methods; Weierstrass mean", treatment = "T Theoretical or Mathematical", } @Article{Braess:1990:MMP, author = "D. Braess and C. Bl{\"o}mer", title = "A Multigrid Method for a Parameter Dependent Problem in Solid Mechanics", journal = j-NUM-MATH, volume = "57", number = "8", pages = "747--761", month = aug, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V05 (65N55 73K05 73V25)", MRnumber = "91e:73108", MRreviewer = "N. Gass", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity); A4620 (Continuum mechanics)", corpsource = "Math. Inst., Ruhr-Univ., Bochum, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "classical mechanics of continuous media; finite element analysis; finite element calculations; locking phenomena; multigrid method; parameter dependent problem; selected reduced integration; solid mechanics; Timoshenko beam", treatment = "T Theoretical or Mathematical", } @Article{Forster:1990:PPH, author = "Klaus-J{\"u}rgen F{\"o}rster and Knut Petras", title = "On a problem proposed by {H. Bra{\ss}} concerning the remainder term in quadrature for convex functions", journal = j-NUM-MATH, volume = "57", number = "8", pages = "763--777", month = aug, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "91j:65048", MRreviewer = "B. Boyanov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290 (Numerical analysis); C1180 (Optimisation techniques); C4100 (Numerical analysis)", corpsource = "Inst. f{\"u}r Angewandte Math., Tech. Univ., Braunschweig, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convex functions; convex programming; Jacobian weight functions; n-point Gaussian quadrature; numerical methods; remainder term", treatment = "T Theoretical or Mathematical", } @Article{Lie:1990:SFM, author = "Ivar Lie", title = "The Stability Function for Multistep Collocation Methods", journal = j-NUM-MATH, volume = "57", number = "8", pages = "779--787", month = aug, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L60", MRnumber = "91g:65192", MRreviewer = "Neide Bertoldi Franco", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C1320 (Stability); C4130 (Interpolation and function approximation)", corpsource = "Div. for Electron., NDRE, Kjeller, Norway", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "C-polynomials; exponential function; multistep collocation methods; one-step methods; polynomials; rational approximation; stability; stability function; stability properties", treatment = "T Theoretical or Mathematical", } @Article{Light:1990:CSC, author = "W. A. Light", title = "The {Chebyshev} Solution of Certain Matrix Equations", journal = j-NUM-MATH, volume = "57", number = "8", pages = "789--803", month = aug, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30 (41A50 41A63 65D99)", MRnumber = "91j:65072", MRreviewer = "Michael J. Eiermann", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Lancaster Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "best approximations; bivariate function; certain matrix equations; Chebyshev approximation; Chebyshev solution; convergence; matrix algebra; measure of error", treatment = "T Theoretical or Mathematical", } @Article{Cottet:1990:PMS, author = "G. H. Cottet and S. Mas-Gallic", title = "A Particle Method to Solve the {Navier--Stokes} System", journal = j-NUM-MATH, volume = "57", number = "8", pages = "805--827", month = aug, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76M25 (65N22 76D05)", MRnumber = "91g:76074", MRreviewer = "J. Thomas Beale", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods)", corpsource = "Centre de Math. Appliqu{\'e}es, {\'E}cole Polytech., Palaiseau, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; linear convection-diffusion equations; Navier--Stokes equations; Navier--Stokes system; particle method; stability; velocity field; viscous splitting", treatment = "T Theoretical or Mathematical", } @Article{Dyn:1990:ISR, author = "Nira Dyn and Charles A. Micchelli", title = "Interpolation by sums of radial functions", journal = j-NUM-MATH, volume = "58", number = "1", pages = "1--9", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (41A05 41A30)", MRnumber = "92a:65043", MRreviewer = "Mariano Gasca", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Tel Aviv Univ., Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "interpolation; multivariate interpolation; radial functions; sums", treatment = "T Theoretical or Mathematical", } @Article{Bourquin:1990:ACS, author = "Fr{\'e}d{\'e}ric Bourquin", title = "Analysis and comparison of several component mode synthesis methods on one-dimensional domains", journal = j-NUM-MATH, volume = "58", number = "1", pages = "11--33", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (34A46 65L15 65N25)", MRnumber = "92a:65323", MRreviewer = "Rolf Rannacher", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Lab. Mixte LCPC/CNRS, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic hidden regularity; component mode synthesis methods; differential operator; eigenfunctions; eigenpairs; eigenvalues and eigenfunctions; elliptic operator; error analysis; error estimates; one-dimensional domains; second order elliptic operators", treatment = "T Theoretical or Mathematical", } @Article{Baranger:1990:ANE, author = "Jacques Baranger and Khalid Najib", title = "Analyse num{\'e}rique des {\'e}coulements quasi-newtoniens dont la viscosit{\'e} ob{\'e}it {\`a} la loi puissance ou la loi de carreau. ({French}) [{Numerical} analysis of {quasi-Newtonian} flow obeying the power law or the {Carreau} law]", journal = j-NUM-MATH, volume = "58", number = "1", pages = "35--49", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76A05 76D05)", MRnumber = "92a:65285", MRreviewer = "Teodor Potra", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C7320 (Physics and Chemistry)", corpsource = "Lyon 1 Univ., Villeurbanne, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "abstract error estimates; approximation; approximation theory; Carreau law; error analysis; finite element analysis; finite elements; flow; mixed FEM; Navier--Stokes equations; numerical analysis; physics computing; power law; pressure; quasiNewtonian flow; Stokes problem; velocity; viscosity", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Zenisek:1990:FEM, author = "Alexander {\v{Z}}en{\'i}{\v{s}}ek", title = "The finite element method for nonlinear elliptic equations with discontinuous coefficients", journal = j-NUM-MATH, volume = "58", number = "1", pages = "51--77", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "92e:65159", MRreviewer = "J. W. Neuberger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Math., Tech. Univ., Brno, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; boundary-value problems; convergence of numerical methods; convergence results; discontinuous coefficients; finite element analysis; finite element approximation; finite element method; integration; Lipschitz-continuous; mixed Dirichlet--Neumann boundary conditions; nonlinear elliptic equations; nonlinear second order elliptic boundary value problems; numerical integration; piecewise; strongly monotone", treatment = "T Theoretical or Mathematical", } @Article{Mandel:1990:BDS, author = "Jan Mandel", title = "On block diagonal and {Schur} complement preconditioning", journal = j-NUM-MATH, volume = "58", number = "1", pages = "79--93", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (65N30)", MRnumber = "92e:65055", MRreviewer = "J. W. Neuberger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Colorado Univ., Denver, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2-by-2 block matrix; block-diagonal preconditioning; bounds; Cauchy inequality; condition number; degrees of freedom; diagonal blocks; element-by-element computations; finite element method; matrix algebra; property A; Schur complement preconditioning; symmetric positive definite linear systems; Young", treatment = "T Theoretical or Mathematical", } @Article{Aziz:1990:FEM, author = "A. K. Aziz and R. Lemmert and M. Schneider", title = "A finite element method for the nonlinear {Tricomi} problem", journal = j-NUM-MATH, volume = "58", number = "1", pages = "95--108", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "92c:65121", MRreviewer = "Reinhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290K (Nonlinear and functional equations); C4110 (Error analysis in numerical methods); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Maryland Univ., Baltimore, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary condition; endpoints; error analysis; finite element analysis; finite element method; finite element procedure; half plane; nonlinear equations; nonlinear Tricomi problem; piecewise smooth curve; simply connected region; x-y plane", treatment = "T Theoretical or Mathematical", } @Article{Heinig:1990:PSA, author = "G. Heinig and P. Jankowski", title = "Parallel and superfast algorithms for {Hankel} systems of equations", journal = j-NUM-MATH, volume = "58", number = "1", pages = "109--127", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (15A09 47B35 65Y05)", MRnumber = "92a:65092", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Sektion Math., Tech. Univ. Karl-Marx-Stadt, East Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotically fast; computational complexity; Hankel equations; Hankel matrix inversion algorithms; kernel structure properties; Levinson type; matrix algebra; parallel algorithms; parallel complexity Schur-type; superfast algorithms", treatment = "T Theoretical or Mathematical", } @Article{Eicke:1990:ISG, author = "Bertolt Eicke and Alfred K. Louis and Robert Plato", title = "The instability of some gradient methods for ill-posed problems", journal = j-NUM-MATH, volume = "58", number = "1", pages = "129--134", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (47A50)", MRnumber = "92a:65184", MRreviewer = "Heinz W. Engl", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Fachbereich Math., Tech. Univ., Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a-priori parameter choice regularization methods; conjugate gradient methods; conjugate gradients; converge; convergence of numerical methods; gradient methods; instability; iterative methods; linear ill-posed problems; steepest descent", treatment = "T Theoretical or Mathematical", } @Article{NegronMarrero:1990:NMD, author = "Pablo V. {Negr{\'o}n Marrero}", title = "A numerical method for detecting singular minimizers of multidimensional problems in nonlinear elasticity", journal = j-NUM-MATH, volume = "58", number = "2", pages = "135--144", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K05 (49M05 65N30 73C50 73V25)", MRnumber = "91j:65116", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity)", corpsource = "Dept. of Math., Heriot-Watt Univ., Edinburgh, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "elasticity; multidimensional problems; nonlinear elasticity; numerical method; numerical methods; singular minimizers", treatment = "T Theoretical or Mathematical", } @Article{Kress:1990:NMB, author = "Rainer Kress", title = "A {Nystr{\"o}m} method for boundary integral equations in domains with corners", journal = j-NUM-MATH, volume = "58", number = "2", pages = "145--161", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (31A10)", MRnumber = "91m:65329", MRreviewer = "G. A. Evans", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Numerische und Angewandte Math., G{\"o}ttingen, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary integral equations; boundary-value problems; convergence; corners; domains; error analysis; graded mesh; harmonic Dirichlet problem; integral equations; Nystr{\"o}m method", treatment = "T Theoretical or Mathematical", } @Article{Yserentant:1990:TPB, author = "Harry Yserentant", title = "Two preconditioners based on the multi-level splitting of finite element spaces", journal = j-NUM-MATH, volume = "58", number = "2", pages = "163--184", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (65N30)", MRnumber = "91j:65076", MRreviewer = "Beny Neta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Math/kbmath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Tubingen Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; exclusively local properties; finite element analysis; finite element spaces; highly nonuniform meshes; interpolation; multilevel splitting; preconditioners; shape regularity", treatment = "T Theoretical or Mathematical", } @Article{Bank:1990:SUT, author = "Randolph E. Bank and Josef F. B{\"u}rgler and Wolfgang Fichtner and R. Kent Smith", title = "Some upwinding techniques for finite element approximations of convection-diffusion equations", journal = j-NUM-MATH, volume = "58", number = "2", pages = "185--202", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76M10 76Rxx)", MRnumber = "91i:65175", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0560 (Transport processes: theory); B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Math., California Univ., San Diego, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "artificial diffusion terms; box method; convection; convection-diffusion equations; divergence-free scheme; finite element analysis; finite element approximations; finite element Galerkin discretization; Scharfetter-Gummel discretization; skew symmetric; streamline diffusion method; upwinding techniques", treatment = "T Theoretical or Mathematical", } @Article{Dorfler:1990:CSM, author = "W. D{\"o}rfler", title = "The conditioning of the stiffness matrix for certain elements approximating the incompressibility condition in fluid dynamics", journal = j-NUM-MATH, volume = "58", number = "2", pages = "203--214", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65F35 76D07 76M10)", MRnumber = "91k:65142", MRreviewer = "Lutz Tobiska", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Inst. f{\"u}r Angewandte Math., Bonn, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conditioning; discrete divergence condition; finite element analysis; finite element space; flow; fluid dynamics; incompressibility condition; stiffness matrix; Stokes equations; two dimensional case; uniform triangulations", treatment = "T Theoretical or Mathematical", } @Article{Ortega:1990:NSC, author = "T. Ortega and J. M. Sanz-Serna", title = "Nonlinear stability and convergence of finite-difference methods for the {``good''} {Boussinesq} equation", journal = j-NUM-MATH, volume = "58", number = "2", pages = "215--229", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12 (65M06)", MRnumber = "92b:65067", MRreviewer = "Randall J. LeVeque", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340K (Waves and wave propagation: general mathematical aspects)", corpsource = "Dept. de Matematica Aplicada y Comput., Valladolid Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Boussinesq equation; convergence; convergence of numerical methods; difference equations; finite-difference methods; nonlinear stability; soliton-interaction mechanism; solitons; stability", treatment = "T Theoretical or Mathematical", } @Article{Dekker:1990:ERB, author = "K. Dekker and J. F. B. M. Kraaijevanger and J. Schneid", title = "Erratum: {``On the relation between algebraic stability and $B$-convergence for Runge--Kutta methods''}", journal = j-NUM-MATH, volume = "58", number = "2", pages = "230--230", month = sep, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (65L20)", MRnumber = "91j:65125b", MRreviewer = "Henning Esser", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Dekker:1990:RBA}.", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Delft Univ. of Technol., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic stability; B-convergence; convergence of numerical methods; Runge--Kutta methods; stability", treatment = "G General Review", } @Article{Pitonyak:1990:IMV, author = "A. Pitonyak and P. Shi and M. Shillor", title = "On an iterative method for variational inequalities", journal = j-NUM-MATH, volume = "58", number = "3", pages = "231--242", month = oct, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49J40 (47H17 47H19 49M30 65K10)", MRnumber = "92b:49020", MRreviewer = "Muhammad Aslam Noor", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Sci., Oakland Univ., Rochester, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Greens function; iterative method; iterative methods; numerical solutions; obstacle problems; variational inequalities; variational techniques; Wiener--Hopf equations", treatment = "T Theoretical or Mathematical", } @Article{Hairer:1990:ERK, author = "E. Hairer and A. Iserles and J. M. Sanz-Serna", title = "Equilibria of {Runge--Kutta} methods", journal = j-NUM-MATH, volume = "58", number = "3", pages = "243--254", month = oct, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06", MRnumber = "91i:65126", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Sect. de Math., Geneva Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounded limit; constant-step implementation; equilibria; initial value problems; irreducible stability function; recursive test; regular; Runge--Kutta methods; s-stage regular method; solution trajectory", treatment = "T Theoretical or Mathematical", } @Article{Kratz:1990:NAS, author = "W. Kratz and A. Peyerimhoff", title = "A numerical algorithm for the {Stokes} problem based on an integral equation for the pressure via conformal mappings", journal = j-NUM-MATH, volume = "58", number = "3", pages = "255--272", month = oct, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N99 (30C30 35Q30 76D07 76M25)", MRnumber = "92a:65334", MRreviewer = "Rolf Rannacher", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Abteilung Math., Ulm Univ., West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic equations; complex representation; conformal mapping; conformal mappings; differential equations; discretization schemes; flow; integral equation; integral equations; numerical algorithm; pressure; Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{Peherstorfer:1990:GTQ, author = "Franz Peherstorfer", title = "{Gauss-Tchebycheff} quadrature formulas", journal = j-NUM-MATH, volume = "58", number = "3", pages = "273--286", month = oct, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "91j:65052", MRreviewer = "David K. Kahaner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Math., Johannes Kepler Univ., Linz, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Gauss quadrature formula; Gauss-Tchebycheff quadrature formulas; linear transformation; polynomials; weight function", treatment = "T Theoretical or Mathematical", } @Article{Duran:1990:SRM, author = "Ricardo Dur{\'a}n", title = "Superconvergence for rectangular mixed finite elements", journal = j-NUM-MATH, volume = "58", number = "3", pages = "287--298", month = oct, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N12)", MRnumber = "92a:65289", MRreviewer = "Muhammad Aslam Noor", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. de Matematica, Univ. Nacional de La Plata, Argentina", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; finite element analysis; Gaussian points; local postprocessing; mixed finite element approximations; rectangular finite elements; rectangular mixed finite elements; second order elliptic problems; superconvergence error estimates; vector variable", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1990:HAM, author = "David Stewart", title = "A high accuracy method for solving {ODEs} with discontinuous right-hand side", journal = j-NUM-MATH, volume = "58", number = "3", pages = "299--328", month = oct, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34A50)", MRnumber = "92c:65081", MRreviewer = "Kevin Burrage", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Queensland Univ., St. Lucia, Qld., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; differential inclusion formulation; discontinuities; discontinuous right-hand side; high accuracy method; initial value problems; linear complementary problems; ordinary differential equations; solving ODEs; state variables", treatment = "T Theoretical or Mathematical", } @Article{Matos:1990:AMB, author = "Ana C. Matos", title = "Acceleration methods based on convergence tests", journal = j-NUM-MATH, volume = "58", number = "3", pages = "329--340", month = oct, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B05 (40A25)", MRnumber = "92a:65026", MRreviewer = "Zuhe Shen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Fac. de Ciencias, Porto Univ., Portugal", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "acceleration methods; auxiliary sequence; convergence of numerical methods; convergence tests; sufficient conditions; transformations", treatment = "T Theoretical or Mathematical", } @Article{Batterson:1990:CSA, author = "Steve Batterson", title = "Convergence of the shifted {$QR$} algorithm on $3 \times 3$ normal matrices", journal = j-NUM-MATH, volume = "58", number = "4", pages = "341--352", month = nov, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "92b:65027", MRreviewer = "Dao Sheng Zheng", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Emory Univ., Atlanta, GA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "3*3 normal matrices; convergence; convergence of numerical methods; Hessenberg matrices; HQR2; iteration; iterative methods; matrix algebra; shifted QR algorithm", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Govaerts:1990:BAL, author = "W. Govaerts", title = "Bordered augmented linear systems in numerical continuation and bifurcation", journal = j-NUM-MATH, volume = "58", number = "4", pages = "353--368", month = nov, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H17", MRnumber = "91m:65151", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Gent Univ., Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bordered augmented linear systems; folds; generalised mixed block elimination; GMBE; linear systems; matrix algebra; numerical continuation; symmetry-breaking bifurcation", treatment = "T Theoretical or Mathematical", } @Article{Schild:1990:GCD, author = "K. H. Schild", title = "{Gaussian} collocation via defect correction", journal = j-NUM-MATH, volume = "58", number = "4", pages = "369--386", month = nov, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L60 (65L10)", MRnumber = "91m:65224", MRreviewer = "Jose Cuminato", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Fachbereich Math., Philipps-Univ., Marburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary value problems; boundary-value problems; collocation equations; defect correction; differential equations; error analysis; first order ordinary differential systems; Gaussian elimination; iterative methods; iterative solution; numerical integration; trapezoidal scheme", treatment = "T Theoretical or Mathematical", } @Article{Marek:1990:CTW, author = "Ivo Marek and Daniel B. Szyld", title = "Comparison theorems for weak splittings of bounded operators", journal = j-NUM-MATH, volume = "58", number = "4", pages = "387--397", month = nov, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (47A50)", MRnumber = "92f:65070", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Katedra Numer. Matematiky, Karlovy Univ., Praha, Czechoslovakia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounded operators; comparison theorem; general Banach spaces; iterative methods; matrix algebra; monotone sequences; spectral radius; weak splittings", treatment = "T Theoretical or Mathematical", } @Article{Funaro:1990:SRA, author = "Daniele Funaro and Wilhelm Heinrichs", title = "Some results about the pseudospectral approximation of one-dimensional fourth-order problems", journal = j-NUM-MATH, volume = "58", number = "4", pages = "399--418", month = nov, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (65N35 73K10 73V20)", MRnumber = "91m:65206", MRreviewer = "Zheng You Zhu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dipartimento di Matematica, Pavia Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bending; Chebyshev approximation; convergence results; eigenvalues and eigenfunctions; one-dimensional fourth-order problems; partial differential equations; preconditioning; pseudospectral approximation; rhombic plate bending problem", treatment = "T Theoretical or Mathematical", } @Article{Hairer:1990:DOE, author = "E. Hairer and A. Ostermann", title = "Dense output for extrapolation methods", journal = j-NUM-MATH, volume = "58", number = "4", pages = "419--439", month = nov, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "91m:65193", MRreviewer = "H. Brunner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Sect. de Math., Geneva Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "dense output formulas; differential equations; differential-algebraic equations; extrapolated explicit Euler method; extrapolated linearly implicit Euler method; extrapolation; extrapolation methods; GBS method; ordinary differential equations; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{SacchiLandriani:1990:MSC, author = "G. {Sacchi Landriani} and H. Vandeven", title = "A multidomain spectral collocation method for the {Stokes} problem", journal = j-NUM-MATH, volume = "58", number = "4", pages = "441--464", month = nov, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N35 (76D07 76M25)", MRnumber = "91j:65168", MRreviewer = "Timothy Nigel Phillips", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods)", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; discrete velocity vector field; divergence-free; error estimates; flow; multidomain spectral collocation method; pressure; spectral analysis; Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{Eggermont:1990:EBI, author = "P. P. B. Eggermont and J. Saranen", title = "{$L^p$} estimates of boundary integral equations for some nonlinear boundary value problems", journal = j-NUM-MATH, volume = "58", number = "5", pages = "465--478", month = dec, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (35A35 45E99 65N38)", MRnumber = "91m:65325", MRreviewer = "Teodor Potra", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Delaware Univ., Newark, DE, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary integral equations; boundary value problems; boundary-value problems; collocation method; error estimates; integral equations; Lipschitz continuous inverse; nonlinear; nonlinear boundary conditions; stability results; {$L_p$} estimates", treatment = "T Theoretical or Mathematical", } @Article{Nevanlinna:1990:PBP, author = "Olavi Nevanlinna", title = "Power bounded prolongations and {Picard--Lindel{\"o}f} iteration", journal = j-NUM-MATH, volume = "58", number = "5", pages = "479--501", month = dec, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "91m:65199", MRreviewer = "Abbas I. Abdel-Karim", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence process; discretization errors; error analysis; initial value problems; iteration; iteration errors; iterative methods; iterative solution; Picard--Lindelof iteration", treatment = "T Theoretical or Mathematical", } @Article{Thomann:1990:RSF, author = "Jean Thomann", title = "Resommation des series formelles. Solutions d'{\'e}quations diff{\'e}rentielles lin{\'e}aires ordinaires du second ordre dans le champ complexe au voisinage de singularit{\'e}s irr{\'e}guli{\`e}res. ({French}) [{Resummation} of formal power series. Solutions of second-order linear complex ordinary differential equations near irregular singularities]", journal = j-NUM-MATH, volume = "58", number = "5", pages = "503--535", month = dec, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L99 (34A20)", MRnumber = "91m:65227", MRreviewer = "I. P. Martynov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "CNRS, Strasbourg, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Computer Algebra; differential equations; exact rational evaluation; formal series; irregular singularities; ordinary differential equations; Resummation Theory; second order; series (mathematics)", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Chandler:1990:SQM, author = "G. A. Chandler and I. H. Sloan", title = "Spline qualocation methods for boundary integral equations", journal = j-NUM-MATH, volume = "58", number = "5", pages = "537--567", month = dec, year = "1990", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "91m:65323", MRreviewer = "Gheorghe Micula", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Chandler:1992:EQM}.", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Queensland Univ., St. Lucia, Qld., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary integral equations; convergence; convergence of numerical methods; graded meshes; integral equations; logarithmic kernel; piecewise-linear splines; qualocation method; smooth closed curves; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Chui:1991:GFL, author = "Charles K. Chui and Harvey Diamond", title = "A General framework for local interpolation", journal = j-NUM-MATH, volume = "58", number = "6", pages = "569--581", month = jan, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A05 (41A15 41A35 65D07)", MRnumber = "92b:41005", MRreviewer = "K. Jetter", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Math/kbmath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation order; general framework; interpolation; local interpolation; multivariate spline spaces; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Barlow:1991:EAP, author = "Jesse L. Barlow", title = "Error Analysis of a Pairwise Summation Algorithm to Compute the Sample Variance", journal = j-NUM-MATH, volume = "58", number = "6", pages = "583--590", month = jan, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65U05 (65G05)", MRnumber = "91m:65342", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Comput. Sci., Pennsylvania State Univ., University Park, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; numerically stable; pairwise summation algorithm; sample variance", treatment = "T Theoretical or Mathematical", } @Article{Riemenschneider:1991:CHI, author = "Sherman Riemenschneider and Karl Scherer", title = "Cardinal {Hermite} interpolation with box splines. {II}", journal = j-NUM-MATH, volume = "58", number = "6", pages = "591--602", month = jan, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A05 (41A15)", MRnumber = "91m:41011", MRreviewer = "Charles K. Chui", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Alberta Univ., Edmonton, Alta., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "box spline; cardinal Hermite interpolation; CHIP; directional derivatives; interpolation; splines (mathematics); translates", treatment = "T Theoretical or Mathematical", } @Article{Dziuk:1991:AES, author = "G. Dziuk", title = "An algorithm for evolutionary surfaces", journal = j-NUM-MATH, volume = "58", number = "6", pages = "603--611", month = jan, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D17 (53A10 65N30)", MRnumber = "91k:65042", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Inst. f{\"u}r Angewandte Math., Freiburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algorithm; computational geometry; evolutionary surfaces; H-surfaces; mean curvature flow of surfaces; Plateau's problem; Poisson problems", treatment = "T Theoretical or Mathematical", } @Article{Sweet:1991:FBT, author = "D. R. Sweet", title = "Fast block {Toeplitz} orthogonalization", journal = j-NUM-MATH, volume = "58", number = "6", pages = "613--629", month = jan, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F25", MRnumber = "92d:65070", MRreviewer = "R. P. Tewarson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., James Cook Univ. of North Queensland, Townsville, Qld., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "block-Toeplitz matrix; Householder operations; inversion; matrix algebra; multiplication; QR factorization", treatment = "T Theoretical or Mathematical", } @Article{Qun:1991:FOE, author = "Lin Qun", title = "Fourth order eigenvalue approximation by extrapolation on domains with reentrant corners", journal = j-NUM-MATH, volume = "58", number = "6", pages = "631--640", month = jan, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65B05 65N25)", MRnumber = "92d:65198", MRreviewer = "Rolf Rannacher", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. of Syst., Acad. Sinica, Beijing, China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bilinear elements; domains; eigenvalues and eigenfunctions; extrapolation; finite element analysis; finite element method; fourth order eigenvalue approximation; Laplace operator; rectangular mesh; reentrant corners", treatment = "T Theoretical or Mathematical", } @Article{Helton:1991:TPR, author = "J. W. Helton and P. G. Spain and N. J. Young", title = "Tracking poles and representing {Hankel} operators directly from data", journal = j-NUM-MATH, volume = "58", number = "6", pages = "641--660", month = jan, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "93B55 (30-04 30E10 47N70 65E05)", MRnumber = "91k:93040", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1310 (Analysis and synthesis methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., California Univ., San Diego, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "control system analysis; convergence theorem; Hankel operators; matrix algebra; Nehari problem; numerical solution; poles and zeros; poles tracking", treatment = "T Theoretical or Mathematical", } @Article{teRiele:1991:NLB, author = "H. J. J. te Riele", title = "A new lower bound for the {de Bruijn-Newman} constant", journal = j-NUM-MATH, volume = "58", number = "6", pages = "661--667", month = jan, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30D10 (11M26 30D15 65E05)", MRnumber = "92c:30030", MRreviewer = "George L. Csordas", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex zeros; de Bruijn-Newman constant; high-precision floating-point computations; integral equations; Jensen polynomial; lover bound; polynomials; Riemann hypothesis; Sturm sequence", treatment = "T Theoretical or Mathematical", } @Article{Morgan:1991:CSS, author = "Alexander P. Morgan and Andrew J. Sommese and Charles W. Wampler", title = "Computing singular solutions to non-linear analytic systems", journal = j-NUM-MATH, volume = "58", number = "7", pages = "669--684", month = feb, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "92a:65171", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., General Motors Res. Labs., Warren, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "1-dimensional quadrature; accurate approximation; approximation theory; exponential; generating approximations; homotopy continuation; Jacobian matrix; matrix algebra; nonlinear analytic systems; polynomials; singular solutions computing; trigonometric", treatment = "T Theoretical or Mathematical", } @Article{Lanzkron:1991:CNC, author = "Paul J. Lanzkron and Donald J. Rose and Daniel B. Szyld", title = "Convergence of nested classical iterative methods for linear systems", journal = j-NUM-MATH, volume = "58", number = "7", pages = "685--702", month = feb, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "92e:65045", MRreviewer = "Alexander S. Babanin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Duke Univ., Durham, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "block methods; convergence of numerical methods; inner iterations; iterative block Gauss--Seidel; iterative methods; linear systems; nested classical iterative methods; splittings", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1991:EGM, author = "G. W. Stewart and G. Zhang", title = "Eigenvalues of Graded Matrices and the Condition Numbers of a Multiple Eigenvalue", journal = j-NUM-MATH, volume = "58", number = "7", pages = "703--712", month = feb, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "92a:65121", MRreviewer = "Assem Deif", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. for Adv. Comput. Studies, Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "canonical angles; condition numbers; eigenvalues; eigenvalues and eigenfunctions; graded matrices; graded structure; la; matrix algebra; multiple eigenvalue; pert; perturbations", treatment = "T Theoretical or Mathematical", } @Article{Cai:1991:FVE, author = "Zhiqiang Cai", title = "On the finite volume element method", journal = j-NUM-MATH, volume = "58", number = "7", pages = "713--735", month = feb, year = "1991", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385651", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N06 65N15)", MRnumber = "92d:65188", MRreviewer = "Lutz Angermann", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "admissible functions; boundary-value problems; discretization error estimates; discretization technique; finite element analysis; finite element space; finite partitioning set; finite volume element method; general self-adjoint elliptic boundary value problems; local uniformity; numerical integration; partial differential equations; triangulations; volume integral formulation", treatment = "T Theoretical or Mathematical", } @Article{Saha:1991:SOT, author = "S. Saha and Purna C. Das and N. N. Kishore", title = "A shape-optimization technique for the capillary surface problem", journal = j-NUM-MATH, volume = "58", number = "7", pages = "737--757", month = feb, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D17 (65K10 65N99)", MRnumber = "92a:65065", MRreviewer = "Srinivasan Kesavan", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A6810C (Surface energy (surface tension, interface tension, angle of contact, etc.)); C1180 (Optimisation techniques); C1330 (Optimal control)", corpsource = "Indian Inst. of Technol., Kanpur, India", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "capillarity; capillary surface problem; iterative technique; Laplace-Young equation; nonlinear elliptic free-boundary problem; numerical scheme; optimal control; optimal control theory; optimisation; shape-optimization technique; surface tension; surface waves (fluid)", treatment = "T Theoretical or Mathematical", } @Article{Niezgodka:1991:CNA, author = "Marek Niezg{\'o}dka and J{\"u}rgen Sprekels", title = "Convergent numerical approximations of the thermomechanical phase transitions in shape memory alloys", journal = j-NUM-MATH, volume = "58", number = "7", pages = "759--778", month = feb, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65P05 (73B30)", MRnumber = "91m:65309", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A6220F (Deformation and plasticity); A6470K (Solid-solid transitions); A8130K (Martensitic transformations); A8140L (Deformation, plasticity and creep)", corpsource = "Inst. of Appl. Math. and Mech., Warsaw Univ., Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "alloys; Au/sub 23/Cu/sub 30/Zn/sub 47/; convergence of numerical methods; convergent numerical approximations; copper alloys; discrete approximations; gold alloys; modelling; nonlinear evolutionary system; partial differential equations; shape memory alloys; shape memory effects; solid-state phase transformations; solid-state phase transitions; thermomechanical phase transitions; zinc alloys", treatment = "T Theoretical or Mathematical", } @Article{Shroff:1991:PAE, author = "Gautam M. Shroff", title = "A parallel algorithm for the eigenvalues and eigenvectors of a general complex matrix", journal = j-NUM-MATH, volume = "58", number = "8", pages = "779--805", month = mar, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "92a:65119", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues; eigenvalues and eigenfunctions; eigenvectors; general complex matrix; Jacobi-like algorithm; linear convergence; matrix algebra; parallel algorithm; parallel algorithms; quadratic convergence; sequential norm reducing algorithms", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Begumisa:1991:SKE, author = "Annuntiato Begumisa and Ian Robinson", title = "Suboptimal {Kronrod} extension formulae for numerical quadrature", journal = j-NUM-MATH, volume = "58", number = "8", pages = "807--818", month = mar, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "92a:65075", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., La Trobe Univ., Bundoora, Vic., Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex zeros; Gauss--Gegenbauer formulae; Gauss--Laguerre rules; Gauss-Hermite quadrature rules; Gaussian quadrature formula; numerical quadrature; polynomials; Stieltjes polynomial; suboptimal Kronrod extension formulae", treatment = "T Theoretical or Mathematical", } @Article{Reusken:1991:SOL, author = "Arnold Reusken", title = "Steplength optimization and linear multigrid methods", journal = j-NUM-MATH, volume = "58", number = "8", pages = "819--838", month = mar, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65F10 65N22)", MRnumber = "92c:65150", MRreviewer = "Bernd Heinrich", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4100 (Numerical analysis)", corpsource = "Fac. Wiskunde en Inf., Tech. Univ. Eindhoven, Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; linear multigrid methods; optimisation; steplength optimisation", treatment = "T Theoretical or Mathematical", } @Article{Lubich:1991:CMM, author = "C. Lubich", title = "On the convergence of multistep methods for nonlinear stiff differential equations", journal = j-NUM-MATH, volume = "58", number = "8", pages = "839--853", month = mar, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (65L05 65L20 65M12 65M15)", MRnumber = "92d:65127", MRreviewer = "C. M. M. Carey", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Lubich:1992:ECM}.", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math. und Geometrie, Innsbruck Univ., Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence estimates; convergence of multistep methods; convergence of numerical methods; frequency domain techniques; nonlinear differential equations; nonlinear parabolic problems; nonlinear stiff differential equations; perturbation arguments", treatment = "T Theoretical or Mathematical", } @Article{Schneider:1991:SSC, author = "R. Schneider", title = "Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations", journal = j-NUM-MATH, volume = "58", number = "8", pages = "855--873", month = mar, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (65N35)", MRnumber = "92a:65354", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C1320 (Stability); C4180 (Integral equations)", corpsource = "Fachbereich Math., Tech. Hochschule Darmstadt, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic convergence estimate; integral equations; meshpoints; spline collocation method; splines (mathematics); stability; strongly elliptic multidimensional singular integral equations; strongly elliptic zero order pseudodifferential equations", treatment = "T Theoretical or Mathematical", } @Article{Rieder:1991:WTS, author = "Andreas Rieder", title = "The wavelet transform on {Sobolev} spaces and its approximation properties", journal = j-NUM-MATH, volume = "58", number = "8", pages = "875--894", month = mar, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "44A15 (65D99)", MRnumber = "92f:44009", MRreviewer = "Ekkehard Kr{\"a}tzel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B6140 (Signal processing and detection); C1260 (Information theory)", corpsource = "Fachbereich Math., Univ. des Saarlandes, Saarbrucken, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation properties; asymptotic behaviour; L/sub 2/-functions; signal processing; Sobolev spaces; unitary operator; wavelet transform", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1991:DMS, author = "G. W. Stewart and G. Zhang", title = "On a Direct Method for the Solution of Nearly Uncoupled {Markov} Chains", journal = j-NUM-MATH, volume = "59", number = "1", pages = "1--11", month = apr, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (60J10 65G05)", MRnumber = "92i:65062", MRreviewer = "Ching-Tsuan Pan", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other and miscellaneous); C1140Z (Other and miscellaneous)", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "diagonal pivoting; direct method; ldu; LU decomposition; Markov chain; Markov processes; nearly uncoupled Markov chains; nearly uncoupled system; nla; plain Gaussian elimination; rounding errors", treatment = "T Theoretical or Mathematical", } @Article{Tobiska:1991:MSD, author = "Lutz Tobiska and Gert Lube", title = "A modified streamline diffusion method for solving the stationary {Navier--Stokes} equation", journal = j-NUM-MATH, volume = "59", number = "1", pages = "13--29", month = apr, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76D05 76M10)", MRnumber = "92c:65141", MRreviewer = "I. Christie", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Tech. Univ., Magdeburg, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; finite element schemes; Ladyshenskaya--Babu{\v{s}}ka--Brezzi-condition; Navier--Stokes equations; Petrov--Galerkin type; Reynolds number; stationary Navier--Stokes equation; streamline diffusion method", treatment = "T Theoretical or Mathematical", } @Article{Akrivis:1991:FDG, author = "Georgios D. Akrivis and Vassilios A. Dougalis and Ohannes A. Karakashian", title = "On fully discrete {Galerkin} methods of {second-order} temporal accuracy for the nonlinear Schr{\"o}dinger equation", journal = j-NUM-MATH, volume = "59", number = "1", pages = "31--53", month = apr, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (35Q55 65N30)", MRnumber = "92a:65256", MRreviewer = "Weimin Han", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0365G (Solutions of wave equations: bound state); B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Crete Univ, Iraklion, Greece", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; finite element analysis; initial value problems; nonlinear equations; Schr{\"o}dinger equation; initial value problems; fully discrete Galerkin methods; second-order temporal accuracy; nonlinear Schr{\"o}dinger equation; boundary-value problem; fully discrete finite element schemes; Crank--Nicolson-type; existence; uniqueness; error bounds; Newton's method", treatment = "T Theoretical or Mathematical", } @Article{Fuhrer:1991:NSD, author = "C. F{\"u}hrer and B. J. Leimkuhler", title = "Numerical solution of differential-algebraic equations for constrained mechanical motion", journal = j-NUM-MATH, volume = "59", number = "1", pages = "55--69", month = apr, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34A09 34A50 70-08 70B15 70E99)", MRnumber = "92f:65080", MRreviewer = "Michael Hanke", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290P (Differential equations); C4170 (Differential equations)", corpsource = "DLR-Lab. for Flight Syst. Dynamics, German Aerosp. Res. Establ., Wessling, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constrained mechanical motion; descriptor; differential equations; differential-algebraic equations; numerical properties; numerical solution; state-space forms", treatment = "T Theoretical or Mathematical", } @Article{Amiez:1991:NAS, author = "Genevi{\`e}ve Amiez and Pierre-Alain Gremaud", title = "On a numerical approach to {Stefan}-like problems", journal = j-NUM-MATH, volume = "59", number = "1", pages = "71--89", month = apr, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12 (65M60 65N12 80A22)", MRnumber = "92c:65102", MRreviewer = "P. Rochus", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4725Q (Convection and heat transfer); A4755K (Multiphase flows)", corpsource = "Dept. de Maths., {\'E}cole Polytech. F{\'e}d{\'e}rale de Lausanne, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bidimensional two-phase Stefan problem; convergence; enthalpy formulation; finite element analysis; finite element mesh; heat transfer; numerical approach; piecewise linear finite elements; positivity; stability; Stefan-like problems; two-phase flow", treatment = "T Theoretical or Mathematical", } @Article{Elsner:1991:CPA, author = "L. Elsner and I. Koltracht and P. Lancaster", title = "Convergence properties of {ART} and {SOR} algorithms", journal = j-NUM-MATH, volume = "59", number = "1", pages = "91--106", month = apr, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "92i:65065", MRreviewer = "Hans-Eberhard Scholz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. of Maths., Bielefeld Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "ART algorithms; convergence of numerical methods; general convergence theorem; iterative methods; linear algebraic systems; relaxation parameters; SOR methods", treatment = "T Theoretical or Mathematical", } @Article{Duran:1991:AEE, author = "Ricardo Dur{\'a}n and Mar{\'i}a Amelia Muschietti and Rodolfo Rodr{\'i}guez", title = "On the asymptotic exactness of error estimators for linear triangular finite elements", journal = j-NUM-MATH, volume = "59", number = "2", pages = "107--127", month = may, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "92b:65086", MRreviewer = "Beny Neta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Matematica, Univ. Nacional La Plata, Argentina", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a-posteriori error estimates; approximation theory; asymptotic exactness; convergence of numerical methods; energy norm; error analysis; error estimators; finite element analysis; gradient; linear triangular finite elements; mesh; piecewise linear finite element approximations; recovery operators; regularity assumptions; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Kraaijevanger:1991:USR, author = "J. F. B. M. Kraaijevanger and J. Schneid", title = "On the unique solvability of the {Runge--Kutta} equations", journal = j-NUM-MATH, volume = "59", number = "2", pages = "129--157", month = may, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (65L20)", MRnumber = "92e:65101", MRreviewer = "Masaharu Nakashima", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Comput. Sci., Leiden Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic conditions; BSI-stability; differential equations; matrix algebra; necessary and sufficient; nonlinear differential equations; one-sided Lipschitz condition; perturbations; Runge--Kutta equations; Runge--Kutta matrix; Runge--Kutta methods; stable; step size; stiff nonlinear system; unique solution; unique solvability", treatment = "T Theoretical or Mathematical", } @Article{Moret:1991:QNM, author = "Igor Moret and Pierpaolo Omari", title = "A {quasi-Newton} method for solving fixed point problems in {Hilbert} spaces", journal = j-NUM-MATH, volume = "59", number = "2", pages = "159--177", month = may, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (45L05 47H17 65H10 65K10)", MRnumber = "92e:65080", MRreviewer = "Carl T. Kelley", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dipartimento di Sci. Matematiche, Trieste Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; continuous operators; convergence of numerical methods; convergence properties; fixed point problems; Hilbert spaces; integral equations; nonlinear integral equations; quasi-Newton method", treatment = "T Theoretical or Mathematical", } @Article{Reitich:1991:SST, author = "Fernando Reitich", title = "Singular solutions of a transmission problem in plane linear elasticity for wedge-shaped regions", journal = j-NUM-MATH, volume = "59", number = "2", pages = "179--216", month = may, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73C99 (35Q99 65N30 73M25 73V05)", MRnumber = "92m:73046", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A4630C (Elasticity)", corpsource = "Sch. of Math., Minnesota Univ., Minneapolis, MN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continuity method; elastic materials; elasticity; elasticity constants; homogeneous; isotropic; material constants; plane linear elasticity; stress field; symmetric domains; tractions; transmission problem; unbounded stresses; wedge angles; wedge-shaped regions", treatment = "T Theoretical or Mathematical", } @Article{Barrett:1991:FEAa, author = "John W. Barrett and Robert M. Shanahan", title = "Finite element approximation of a model reaction-diffusion problem with a non-{Lipschitz} nonlinearity", journal = j-NUM-MATH, volume = "59", number = "3", pages = "217--242", month = jun, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "92c:65122", MRreviewer = "I. Christie", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; error bounds; finite element analysis; model reaction-diffusion problem; nonLipschitz nonlinearity; numerical integration; piecewise-linear techniques; standard continuous piecewise linear Galerkin finite element approximation; successive overrelaxation algorithm", treatment = "T Theoretical or Mathematical", } @Article{VandenBerghe:1991:ACH, author = "G. {Vanden Berghe} and H. {De Meyer}", title = "Accurate computation of higher {Sturm--Liouville} eigenvalues", journal = j-NUM-MATH, volume = "59", number = "3", pages = "243--254", month = jun, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L15 (34B24)", MRnumber = "92a:65230", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Lab. voor Numerieke Wiskunde en Inf., Rijksuniv. Gent, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accurate computation; difference equations; eigenvalues and eigenfunctions; finite difference estimate; higher Sturm--Liouville eigenvalues; local error term; minimization; step-dependent linear multistep method", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Chen:1991:IUS, author = "Min Chen and Roger Temam", title = "Incremental unknowns for solving partial differential equations", journal = j-NUM-MATH, volume = "59", number = "3", pages = "255--271", month = jun, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N06 (65F10)", MRnumber = "92e:65133", MRreviewer = "O. Widlund", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Appl. Math. and Sci. Comput., Indiana Univ., Bloomington, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; evolution equations; finite difference approximations; fractal attractors; incremental unknowns; Laplace equations; linear elliptic problems; partial differential equations; two-level approximations", treatment = "T Theoretical or Mathematical", } @Article{HernandezVeron:1991:NHM, author = "Miguel A. {Hern{\'a}ndez Ver{\'o}n}", title = "A note on {Halley}'s method", journal = j-NUM-MATH, volume = "59", number = "3", pages = "273--276", month = jun, year = "1991", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385780", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "92c:65067", MRreviewer = "J. A. Grant", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Matematica Aplicada, Zarogaza Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "global convergence; iterative methods; logarithmic convexity", treatment = "T Theoretical or Mathematical", } @Article{Louis:1991:SPM, author = "A. K. Louis and P. Maa{\ss}", title = "Smoothed projection methods for the moment problem", journal = j-NUM-MATH, volume = "59", number = "3", pages = "277--294", month = jun, year = "1991", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385781", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15 (44A60 65R20)", MRnumber = "92d:65032", MRreviewer = "Johannes Elschner", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Fachbereich Math., Univ. des Saarlandes, Saarbrucken, West Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; discretizations; function reconstruction; integral equations; moment problem; pointwise optimization; rate of convergence; smoothed projection methods", treatment = "T Theoretical or Mathematical", } @Article{Nievergelt:1991:ASA, author = "Yves Nievergelt", title = "{Aitken}'s and {Steffensen}'s accelerations in several variables", journal = j-NUM-MATH, volume = "59", number = "3", pages = "295--310", month = jun, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "92a:65172", MRreviewer = "V. P. Madan", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Eastern Washington Univ., Cheney, WA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Aitken's acceleration; characteristic polynomials; iterated function; iterations; iterative methods; Jacobian matrix; linear transformation; matrix algebra; numerically stable convergence; partial derivatives; Steffensen's acceleration", treatment = "T Theoretical or Mathematical", } @Article{Torelli:1991:SCG, author = "Lucio Torelli", title = "A sufficient condition for {GPN-stability} for delay differential equations", journal = j-NUM-MATH, volume = "59", number = "3", pages = "311--320", month = jun, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20 (34K15 34K20 65L05)", MRnumber = "92h:65127", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dipartimento di Sci. Matematiche, Trieste Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "delay differential equations; differential equations; GPN-stability; interpolants; interpolation; linear test delay differential equation; numerical methods; stability; sufficient condition", treatment = "T Theoretical or Mathematical", } @Article{DAzevedo:1991:OTM, author = "E. F. D'Azevedo and R. B. Simpson", title = "On optimal triangular meshes for minimizing the gradient error", journal = j-NUM-MATH, volume = "59", number = "4", pages = "321--348", month = jul, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L50 (65D05)", MRnumber = "92c:65095", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational geometry; curvilinear coordinate transformation; data functions; gradient error; gradient estimation; interpolation; optimal triangular meshes; piecewise linear interpolation; piecewise-linear techniques", treatment = "T Theoretical or Mathematical", } @Article{Carstensen:1991:IRP, author = "C. Carstensen", title = "Inclusion of the roots of a polynomial based on {Gerschgorin}'s theorem", journal = j-NUM-MATH, volume = "59", number = "4", pages = "349--360", month = jul, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05 (12Y05)", MRnumber = "92j:65072", MRreviewer = "Ljiljana Petkovi{\'c}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra)", corpsource = "Inst. f{\"u}r Angewandte Math., Hannover Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "companion matrix; Gerschgorin's theorem; matrix algebra; polynomials; roots of a polynomial", treatment = "T Theoretical or Mathematical", } @Article{Gilliam:1991:IPP, author = "D. S. Gilliam and J. R. Lund and C. F. Martin", title = "Inverse parabolic problems and discrete orthogonality", journal = j-NUM-MATH, volume = "59", number = "4", pages = "361--383", month = jul, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M30 (35R30)", MRnumber = "92e:65127", MRreviewer = "Lars Eld{\'e}n", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Math., Texas Tech Univ., Lubbock, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate recovery; boundary-value problems; discrete orthogonality; discrete sampling scheme; initial value problems; parabolic initial boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Capatina:1991:IAQ, author = "Anca Radoslovescu C{\u{a}}p{\u{a}}{\c{t}}{\^\i}n{\u{a}} and M. Cocu", title = "Internal approximation of quasi-variational inequalities", journal = j-NUM-MATH, volume = "59", number = "4", pages = "385--398", month = jul, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (49J40 65N15 73T05 73V25)", MRnumber = "92e:65088", MRreviewer = "Zheng Hui Xie", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. of Math., Bucharest, Romania", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; error estimates; function approximation; internal approximation; quasi-variational inequalities; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Tourigny:1991:FEM, author = "Y. Tourigny and E. S{\"u}li", title = "The finite element method with nodes moving along the characteristics for convection-diffusion equations", journal = j-NUM-MATH, volume = "59", number = "4", pages = "399--412", month = jul, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N12)", MRnumber = "92f:65140", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Comput. Lab., Oxford Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convection; convection-diffusion equations; convergence of numerical methods; convergence properties; diffusion; finite element analysis; finite element method", treatment = "T Theoretical or Mathematical", } @Article{Bialecki:1991:ADI, author = "Bernard Bialecki", title = "An alternating direction implicit method for orthogonal spline collocation linear systems", journal = j-NUM-MATH, volume = "59", number = "5", pages = "413--429", month = aug, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N35)", MRnumber = "92g:65032", MRreviewer = "I. Norman Katz", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ewing:1991:LRT, author = "R. E. Ewing and R. D. Lazarov and P. S. Vassilevski", title = "Local refinement techniques for elliptic problems on cell-centered grids. {III}. Algebraic multilevel {BEPS} preconditioners", journal = j-NUM-MATH, volume = "59", number = "5", pages = "431--452", month = aug, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N06 (65N15 65N50)", MRnumber = "93e:65126", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hegland:1991:PST, author = "Markus Hegland", title = "On the parallel solution of tridiagonal systems by wrap-around partitioning and incomplete ${LU}$ factorization", journal = j-NUM-MATH, volume = "59", number = "5", pages = "453--472", month = aug, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Y05 (65F05)", MRnumber = "92g:65158", MRreviewer = "Murli M. Gupta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Interdisciplinary Project Center for Supercomput., ETH-Zentrum, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation properties; Cray X-MP; diagonally dominant systems; existence properties; incomplete Gaussian elimination; incomplete LU factorization; matrix algebra; parallel algorithms; parallel computers; parallel solution; partial pivoting; tridiagonal systems; vector supercomputers; Wang algorithm; wrap-around partitioning", treatment = "T Theoretical or Mathematical", } @Article{Kunisch:1991:ETS, author = "K. Kunisch and G. Peichl", title = "Estimation of a temporally and spatially varying diffusion coefficient in a parabolic system by an augmented {Lagrangian} technique", journal = j-NUM-MATH, volume = "59", number = "5", pages = "473--509", month = aug, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M99 (35R30 65K10 93E10)", MRnumber = "92j:65149", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Peisker:1991:MMR, author = "Petra Peisker", title = "A multigrid method for {Reissner--Mindlin} plates", journal = j-NUM-MATH, volume = "59", number = "5", pages = "511--528", month = aug, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V15 (65N55 73K10)", MRnumber = "92g:73083", MRreviewer = "Ji{\v{r}}{\'i} Nedoma", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Walz:1991:AEA, author = "Guido Walz", title = "Asymptotic expansions and acceleration of convergence for higher order iteration processes", journal = j-NUM-MATH, volume = "59", number = "5", pages = "529--540", month = aug, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B05 (40A25 41A60 65H05)", MRnumber = "92k:65007", MRreviewer = "John P. Coleman", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Elsner:1991:CBI, author = "Ludwig Elsner and Volker Mehrmann", title = "Convergence of block iterative methods for linear systems arising in the numerical solution of {Euler} equations", journal = j-NUM-MATH, volume = "59", number = "6", pages = "541--559", month = sep, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N22 76M25)", MRnumber = "92h:65052", MRreviewer = "S. Galanis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Fakult{\"a}t f{\"u}r Math., Bielefeld Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "block iterative methods; block matrices; convergence; convergence of numerical methods; Euler equations; fluid flow computations; iterative methods; linear systems; M-matrices; matrix algebra; negative semidefinite; numerical solution; positive definite; symmetric matrix; Z-matrices", treatment = "T Theoretical or Mathematical", } @Article{Golub:1991:QCL, author = "Gene H. Golub and Urs von Matt", title = "Quadratically Constrained Least Squares and Quadratic Problems", journal = j-NUM-MATH, volume = "59", number = "6", pages = "561--580", month = sep, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20 (65F50 65K10)", MRnumber = "92f:65049", MRreviewer = "R. P. Tewarson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", abstract = "The article considers the following problem: Compute a vector x such that //Ax-b///sub 2/-min, subject to the constraint //x///sub 2/= alpha. A new approach to this problem based on Gauss quadrature is given. The method is especially well suited when the dimensions of A are large and the matrix is sparse. It is also possible to extend this technique to a constrained quadratic form: For a symmetric matrix A it considers the minimization of x/sup T/Ax-2b/sup T/x subject to the constraint //x///sub 2/= alpha. Some numerical examples are given.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Sci., Stanford Univ., CA, USA", classification = "C1110 (Algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Stanford Univ., CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constraints; Gauss quadrature; lsq; matrix algebra; minimisation; Minimization; minimization; nla; nllsq; nlop; Quadratically constrained least squares problems; quadratically constrained least squares problems; Quadratically constrained quadratic problems; quadratically constrained quadratic problems; Sparse matrix; sparse matrix; Symmetric matrix; symmetric matrix; Vector; vector", thesaurus = "Matrix algebra; Minimisation", treatment = "T Theoretical or Mathematical", } @Article{Jensen:1991:CPV, author = "Soren Jensen", title = "On computing the pressure by the $p$ version of the finite element method for {Stokes} problem", journal = j-NUM-MATH, volume = "59", number = "6", pages = "581--601", month = sep, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15 76D07 76M10)", MRnumber = "92h:65171", MRreviewer = "Lutz Tobiska", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); C4100 (Numerical analysis); C7320 (Physics and Chemistry)", corpsource = "Dept. of Math. and Stat., Maryland Univ., Baltimore, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p$ version; convergence; convergence of numerical methods; finite element analysis; finite element method; hydrostatic pressure extraction; local H/sup 1/ projection; Navier--Stokes equations; norm estimates; physics computing; pressure approximation; single layer potential recovery; Stokes problem; Stokes velocity", treatment = "T Theoretical or Mathematical", } @Article{Sun:1991:ERQ, author = "Ji-guang Sun", title = "Eigenvalues of {Rayleigh} quotient matrices", journal = j-NUM-MATH, volume = "59", number = "6", pages = "603--614", month = sep, year = "1991", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385798", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A18 (65F15)", MRnumber = "93a:15015", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Link{\"o}ping Univ., Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; column space; eigenspace; eigenvalues; eigenvalues and eigenfunctions; Hermitian matrix; matrix algebra; Rayleigh quotient matrices; unitarily invariant norm; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Verfurth:1991:FEA, author = "R. Verf{\"u}rth", title = "Finite element approximation of incompressible {Navier--Stokes} equations with slip boundary condition. {II}", journal = j-NUM-MATH, volume = "59", number = "6", pages = "615--636", month = sep, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76D05 76M10)", MRnumber = "92k:65170", MRreviewer = "M. M. Sussman", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); C4130 (Interpolation and function approximation); C7320 (Physics and Chemistry)", corpsource = "Inst. f{\"u}r Angewandte Math., Zurich Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; convergence of numerical methods; Dirichlet boundary conditions; finite element analysis; finite element codes; finite element partition; incompressible Navier--Stokes equations; mixed finite element approximations; Navier--Stokes equations; normal stress component; optimal error estimates; penalty terms; physics computing; pressure; slip boundary condition; stability; stationary Navier Stokes equations; velocity", treatment = "T Theoretical or Mathematical", } @Article{Bittner:1991:NSP, author = "Leonhard Bittner", title = "A numerical sampling problem and the {Weyl} pseudorandom numbers", journal = j-NUM-MATH, volume = "59", number = "7", pages = "637--645", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65C05 (65C10 65D30)", MRnumber = "92g:65004", MRreviewer = "Sotiris Loukas", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods); C7310 (Mathematics)", corpsource = "Fachbereich Math., Greifswald Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "numerical integration; numerical methods; numerical sampling problem; random number generation; rational sequences; Weyl pseudorandom numbers", treatment = "T Theoretical or Mathematical", } @Article{Elbert:1991:AZB, author = "{\'A}. Elbert", title = "An approximation for the zeros of {Bessel} functions", journal = j-NUM-MATH, volume = "59", number = "7", pages = "647--657", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "33C10 (41A60 65D20)", MRnumber = "92h:33008", MRreviewer = "Walter Gautschi", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Hungarian Acad. of Sci., Budapest, Hungary", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; asymptotic expansion; Bessel functions; poles and zeros; transcendental equation; zeros", treatment = "T Theoretical or Mathematical", } @Article{Hersch:1991:NIC, author = "Joseph Hersch and William Sawyer", title = "Numerical implementation of coherence for the example of the {``Swiss cross''}", journal = j-NUM-MATH, volume = "59", number = "7", pages = "659--665", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N25 (35J05 35P15)", MRnumber = "92j:65162", MRreviewer = "Srinivasan Kesavan", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "ETH Zurich, Inst. f{\"u}r Math., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; boundary conditions; difference equations; eigenvalue; eigenvalues and eigenfunctions; finite difference method; isoperimetric upper bounds; lower bounds; numerical implementation coherence; torsional rigidity; two-dimensional Helmholtz equation", treatment = "T Theoretical or Mathematical", } @Article{Mertins:1991:KRR, author = "Ulrich Mertins", title = "{Zur Konvergenz des Rayleigh--Ritz-Verfahrens bei Eigenwertaufgaben}. ({German}) [{On} the convergence of the {Rayleigh--Ritz} method for eigenvalue problems]", journal = j-NUM-MATH, volume = "59", number = "7", pages = "667--682", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49R10 (35P15 65N25 65N30)", MRnumber = "93d:49048", MRreviewer = "K. Najzar", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Math., Tech. Univ. Clausthal, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; convergence; discretization; eigenvalue problems; eigenvalues and eigenfunctions; error estimates; operators; purely functional analytic procedure; Rayleigh--Ritz method; selfadjoint", language = "German", treatment = "T Theoretical or Mathematical", } @Article{Meyer-Spasche:1991:DEF, author = "Rita Meyer-Spasche and Bengt Fornberg", title = "Discretization errors at free boundaries of the {Grad-Schl{\"u}ter-Shafranov} equation", journal = j-NUM-MATH, volume = "59", number = "7", pages = "683--710", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N12 (65N06 76M10 76X05)", MRnumber = "92j:65157", MRreviewer = "D. Schultz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A5230 (Plasma flow; magnetohydrodynamics)", corpsource = "Max-Planck-Inst. f{\"u}r Plasmaphys., Ipp-euratom Ass., Garching, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference equations; discretization errors; extrapolation; finite-difference schemes; free boundaries; Gauss--Newton; Grad-Schluter-Shafranov equation; Inverse iterations; iterative methods; multigrid iterations; numerical error; plasma magnetohydrodynamics; plasma physics", treatment = "T Theoretical or Mathematical", } @Article{Prossdorf:1991:SAP, author = "S. Pr{\"o}ssdorf", title = "On the super-approximation property of {Galerkin}'s method with finite elements", journal = j-NUM-MATH, volume = "59", number = "7", pages = "711--722", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N35 65R20)", MRnumber = "92k:65168", MRreviewer = "Viorel Arnautu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Karl-Weierstrass-Inst. f{\"u}r Math., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; Aubin-Nitsche lemma; boundary value problems; finite element analysis; finite elements; Galerkin's method; Hilbert scale; optimal convergence rate; partial differential equations; pseudodifferential equations; spline collocation methods; splines (mathematics); strongly elliptic operator equations; super-approximation property; trial functions", treatment = "T Theoretical or Mathematical", } @Article{Strehmel:1991:ORR, author = "Karl Strehmel and R{\"u}diger Weiner and Mario B{\"u}ttner", title = "Order results for {Rosenbrock} type methods on classes of stiff equations", journal = j-NUM-MATH, volume = "59", number = "7", pages = "723--737", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06", MRnumber = "92h:65118", MRreviewer = "Beny Neta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Fachbereich Math. und Inf., Halle Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; B-convergence; classes of stiff equations; initial value problems; order results; partitioned methods; Rosenbrock type methods; Runge--Kutta methods; singular perturbation form; stiff initial value problems; stiff nonlinear systems; stiff semi-linear systems", treatment = "T Theoretical or Mathematical", } @Article{Weba:1991:IRF, author = "Michael Weba", title = "Interpolation of random functions", journal = j-NUM-MATH, volume = "59", number = "7", pages = "739--746", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65U05 (60G17 65D05 65D07)", MRnumber = "92g:65151", MRreviewer = "D. C. Handscomb", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Math. Stochastik, Hamburg Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error bounds; interpolation; random functions", treatment = "T Theoretical or Mathematical", } @Article{Chipot:1991:NAO, author = "M. Chipot", title = "Numerical analysis of oscillations in nonconvex problems", journal = j-NUM-MATH, volume = "59", number = "8", pages = "747--767", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "92h:65164", MRreviewer = "Weimin Han", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques)C4120 (Functional analysis); B0290D (Functional analysis); C1180 (Optimisation techniques)", corpsource = "Dept. de Math., Metz Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "functional analysis; minimisation; minimizing sequences; nonconvex problems; numerical analysis; oscillations", treatment = "T Theoretical or Mathematical", } @Article{Duran:1991:ISC, author = "Ricardo Dur{\'a}n", title = "The inf-sup condition and error estimates for the {Arnold-Falk} plate bending element", journal = j-NUM-MATH, volume = "59", number = "8", pages = "769--778", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15 73K10 73V05)", MRnumber = "92h:65167", MRreviewer = "Peter B. Monk", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Dept. de Matematica, Univ. Nacional de la Plata, Argentina", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Arnold-Falk plate bending element; error analysis; error estimates; finite element analysis; inf-sup condition; mixed plate element; plate thickness; shear strain", treatment = "T Theoretical or Mathematical", } @Article{Grippo:1991:CNS, author = "L. Grippo and F. Lampariello and S. Lucidi", title = "A class of nonmonotone stabilization methods in unconstrained optimization", journal = j-NUM-MATH, volume = "59", number = "8", pages = "779--805", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C30 (65K10)", MRnumber = "92g:90148", MRreviewer = "Panos M. Pardalos", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dipartimento di Inf. et Sistemistica, Roma Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; descent requirements; global convergence; iterative methods; minimisation; Newton-type methods; nonmonotone stabilization methods; numerical experimentation; relaxation; unconstrained minimisation; unconstrained optimization", treatment = "T Theoretical or Mathematical", } @Article{IntHout:1991:SAN, author = "K. J. {in 't Hout} and M. N. Spijker", title = "Stability analysis of numerical methods for delay differential equations", journal = j-NUM-MATH, volume = "59", number = "8", pages = "807--814", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20 (65L05)", MRnumber = "92m:65103", MRreviewer = "Zahari Zlatev", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math. and Comput. Sci., Leiden Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; delay differential equations; differential equations; numerical methods; stability analysis; stability region's; step-by-step methods", treatment = "T Theoretical or Mathematical", } @Article{Lamour:1991:WPS, author = "Ren{\'e} Lamour", title = "A well-posed shooting method for transferable {DAE's}", journal = j-NUM-MATH, volume = "59", number = "8", pages = "815--829", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "92h:65119", MRreviewer = "Relja Vulanovi{\'c}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Humboldt-Univ., Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; differential algebraic equation; differential equations; initial values; integration; matrix algebra; multiple shooting method; nonlinear DAE's; shooting equation; singular Jacobian; TPBVP; transferable BVPs; transferable DAE's; well-posed shooting method; well-posedness", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Quarteroni:1991:CVI, author = "A. Quarteroni and G. Sacchi Landriani and A. Valli", title = "Coupling of viscous and inviscid {Stokes} equations via a domain decomposition method for finite elements", journal = j-NUM-MATH, volume = "59", number = "8", pages = "831--859", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65N30 76D05 76M10)", MRnumber = "93b:65190", MRreviewer = "Charles I. Goldstein", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); C4170 (Differential equations); C4185 (Finite element analysis); C7320 (Physics and Chemistry)", corpsource = "Istituto di Analisi Numerica, CNR, Pavia, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence analysis; convergence of numerical methods; domain decomposition method; finite element analysis; finite elements; generalized Stokes problem; inviscid Stokes equations; iteration-by-subdomain algorithms; iterative procedure; Navier--Stokes equations; numerical discretization; physics computing; stability; viscosity", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Bunse-Gerstner:1991:NCA, author = "Angelika Bunse-Gerstner and Ralph Byers and Volker Mehrmann and Nancy K. Nichols", title = "Numerical Computation of an Analytic Singular Value Decomposition of a Matrix Valued Function", journal = j-NUM-MATH, volume = "60", number = "1", pages = "1--39", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20 (65F25 65L05)", MRnumber = "92k:65072", MRreviewer = "David R. Hill", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Fachbereich Math. und Inf., Bremen Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Euler-like method; matrix algebra; matrix valued function; nla; singular value decomposition; svd; SVD", treatment = "T Theoretical or Mathematical", } @Article{Cai:1991:ASA, author = "Xiao-Chuan Cai", title = "Additive {Schwarz} Algorithms for Parabolic Convection-Diffusion Equations", journal = j-NUM-MATH, volume = "60", number = "1", pages = "41--61", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (65M55 76M10 76M25 76Rxx)", MRnumber = "93a:65127", MRreviewer = "Murli M. Gupta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "additive Schwarz; algebraic equations; convergence rates; domain decomposition; finite element analysis; linear algebra; linear system; linear systems; parabolic convection-diffusion equations; parabolic partial differential equations; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Han:1991:BEM, author = "Houde Han", title = "A boundary element method for {Signorini} problems in three dimensions", journal = j-NUM-MATH, volume = "60", number = "1", pages = "63--75", month = nov, year = "1991", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385714", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N38 (49J40 65R20 73C02 73V10)", MRnumber = "93a:65166", MRreviewer = "G. W. Hedstrom", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Appl. Math., Tsinghua Univ., Beijing, China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary element method; boundary-elements methods; error analysis; optimal error estimate; Signorini problems; variational inequality", treatment = "T Theoretical or Mathematical", } @Article{Jeltsch:1991:SFM, author = "Rolf Jeltsch and Peywand Kiani", title = "Stability of a family of multi-time-level difference schemes for the advection equation", journal = j-NUM-MATH, volume = "60", number = "1", pages = "77--95", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12 (65L06)", MRnumber = "92i:65140", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "ETH Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "difference schemes; hyperbolic initial value problems; initial value problems; linear advection equation; multi-time-level schemes; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Jetter:1991:ACI, author = "Kurt Jetter and Joachim St{\"o}ckler", title = "Algorithms for cardinal interpolation using box splines and radial basis functions", journal = j-NUM-MATH, volume = "60", number = "1", pages = "97--114", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (65D07)", MRnumber = "92i:65024", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "FB Math., Duisburg Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "box splines; cardinal interpolation; fast Fourier transforms; Fourier transform; fundamental interpolant; interpolation; multiquadric case; radial basis functions; splines (mathematics); thin plate spline", treatment = "T Theoretical or Mathematical", } @Article{Kunkel:1991:SFM, author = "Peter Kunkel and Volker Mehrmann", title = "Smooth factorizations of matrix valued functions and their derivatives", journal = j-NUM-MATH, volume = "60", number = "1", pages = "115--131", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34A09 65F25 93B40)", MRnumber = "92h:65103", MRreviewer = "I. Norman Katz", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schumaker:1991:FSD, author = "Larry L. Schumaker and Cornelis Traas", title = "Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines", journal = j-NUM-MATH, volume = "60", number = "1", pages = "133--144", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07", MRnumber = "92j:65012", MRreviewer = "K. Jetter", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Vanderbilt Univ., Nashville, TN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "curve fitting; polynomial splines; scattered data; scattered points; spherelike surface; splines (mathematics); tensor fit; tensors; trigonometric splines", treatment = "T Theoretical or Mathematical", } @Article{Barrlund:1991:CLS, author = "Anders Barrlund", title = "Constrained least squares methods for linear time varying {DAE} systems", journal = j-NUM-MATH, volume = "60", number = "2", pages = "145--161", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34A09 34A50 65F20)", MRnumber = "92h:65101", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bermejo:1991:AAG, author = "Rodolfo Bermejo", title = "Analysis of an algorithm for the {Galerkin-characteristic} method", journal = j-NUM-MATH, volume = "60", number = "2", pages = "163--194", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76M25 76R50)", MRnumber = "93e:65132", MRreviewer = "Mutsuto Kawahara", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., British Columbia Univ., Vancouver, BC, Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computationally efficient; cubic spline interpolation; error analysis; Galerkin-characteristic method; partial differential equations; particle methods; scalar advection equation; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Criscuolo:1991:UCD, author = "Giuliana Criscuolo and Giuseppe Mastroianni and Donatella Occorsio", title = "Uniform convergence of derivatives of extended {Lagrange} interpolation", journal = j-NUM-MATH, volume = "60", number = "2", pages = "195--218", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A10 (65D05)", MRnumber = "93b:41009", MRreviewer = "T. J. Rivlin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Istituto per Applicazioni della Matematica, CNR, Napoli, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; extended interpolation formulae; interpolation; Lagrange interpolation; pointwise type; simultaneous approximation; uniform convergence; uniform norm", treatment = "T Theoretical or Mathematical", } @Article{Smith:1991:DDA, author = "Barry F. Smith", title = "A Domain Decomposition Algorithm for Elliptic Problems in Three Dimensions", journal = j-NUM-MATH, volume = "60", number = "2", pages = "219--234", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65F10)", MRnumber = "92m:65159", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4185 (Finite element analysis)", corpsource = "Argonne Nat. Lab., IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keyword = "domain decomposition, wirebasket methods, iterative substructuring", keywords = "domain decomposition; elliptic problems; finite element analysis; iterative methods; potential parallelism; substructuring algorithm; three dimensions", treatment = "T Theoretical or Mathematical", } @Article{Verfurth:1991:PEE, author = "R. Verf{\"u}rth", title = "A posteriori error estimators for the {Stokes} equations. {II}. Non-conforming discretizations", journal = j-NUM-MATH, volume = "60", number = "2", pages = "235--249", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N50 (65N15 65N30 76D07 76M10)", MRnumber = "92j:65189", MRreviewer = "Long An Ying", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Angewandte Math., Zurich Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori error estimator; differential equation; error analysis; finite element analysis; finite element solution; Navier--Stokes equations; nonconforming discretisations; partial differential equations; Stokes equations", treatment = "T Theoretical or Mathematical", } @Article{Zawilski:1991:NSC, author = "Adam T. Zawilski", title = "Numerical Stability of the Cyclic {Richardson} Iteration", journal = j-NUM-MATH, volume = "60", number = "2", pages = "251--290", month = nov, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "92j:65049", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., California Univ., Albany, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; cyclic Richardson iteration; error analysis; iterative methods; proper ordering; stability", treatment = "T Theoretical or Mathematical", } @Article{Barrett:1991:FEAb, author = "John W. Barrett and Roma Chakrabarti", title = "Finite element approximation of the volume-matching problem", journal = j-NUM-MATH, volume = "60", number = "3", pages = "291--313", month = dec, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65K10 65N15)", MRnumber = "92j:65164", MRreviewer = "G. Albinus", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Freund:1991:QQM, author = "Roland W. Freund and No{\"e}l M. Nachtigal", title = "{QMR}: a quasi-minimal residual method for {non-Hermitian} linear systems", journal = j-NUM-MATH, volume = "60", number = "3", pages = "315--339", month = dec, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "92g:65034", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "RIACS, NASA Ames Res. Center, Moffett Field, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "biconjugate gradient method; conjugate gradient algorithm; conjugate gradient methods; error bound; linear algebra; look-ahead version; nonHermitian linear systems; nonsymmetric Lanczos algorithm; quasi-minimal residual method", treatment = "T Theoretical or Mathematical", } @Article{Hanke:1991:ALI, author = "Martin Hanke", title = "Accelerated {Landweber} iterations for the solution of ill-posed equations", journal = j-NUM-MATH, volume = "60", number = "3", pages = "341--373", month = dec, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (65F10)", MRnumber = "92m:65077", MRreviewer = "M. Z. Nashed", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Praktische Math., Karlsruhe Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accelerated Landweber iterations; approximate solution; conjugate gradient methods; conjugate gradients; ill conditioned matrix equations; ill-posed equations; linear semiiterative methods; matrix algebra; optimal speed of convergence; polynomials; regularization methods", treatment = "T Theoretical or Mathematical", } @Article{Hari:1991:SQC, author = "Vjeran Hari", title = "On sharp quadratic convergence bounds for the serial {Jacobi} methods", journal = j-NUM-MATH, volume = "60", number = "3", pages = "375--406", month = dec, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (65-02)", MRnumber = "93a:65050", MRreviewer = "Heike Fa{\ss}bender", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Zagreb Univ., Yugoslavia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; eigenvalues; eigenvalues and eigenfunctions; matrix algebra; serial Jacobi methods; sharp quadratic convergence bounds; SVD Jacobi methods", treatment = "T Theoretical or Mathematical", } @Article{Jager:1991:SPM, author = "Willi J{\"a}ger and Jozef Ka{\v{c}}ur", title = "Solution of porous medium type systems by linear approximation schemes", journal = j-NUM-MATH, volume = "60", number = "3", pages = "407--427", month = dec, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76S05 (35K55 65N12 76M25)", MRnumber = "92j:76092", MRreviewer = "Jaroslaw Jelen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4755M (Flow through porous media); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Heidelberg Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; discrete linear approximation; enthalpy formulation; flow through porous media; linear approximation schemes; nonlinear degenerate parabolic systems; partial DEs; partial differential equations; porous medium type systems; semidiscrete linear approximation; variational technique", treatment = "T Theoretical or Mathematical", } @Article{Ainsworth:1992:PEE, author = "Mark Ainsworth and Alan Craig", title = "A posteriori error estimators in the finite element method", journal = j-NUM-MATH, volume = "60", number = "4", pages = "429--463", month = jan, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "92j:65163", MRreviewer = "Lutz Angermann", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Sch. of Eng. Comput. and Math. Sci., Lancaster Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori error estimators; abstract estimators; approximation; approximation theory; classification; error analysis; finite element analysis; finite element method; structured approach; superconvergence phenomenon", treatment = "T Theoretical or Mathematical", } @Article{Butcher:1992:SGM, author = "J. C. Butcher and R. P. K. Chan", title = "On symmetrizers for {Gauss} methods", journal = j-NUM-MATH, volume = "60", number = "4", pages = "465--476", month = jan, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (65L06 65L20)", MRnumber = "93c:65084", MRreviewer = "Masaharu Nakashima", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dahmen:1992:MEB, author = "Wolfgang Dahmen and Ronald A. DeVore and Charles A. Micchelli", title = "On monotone extensions of boundary data", journal = j-NUM-MATH, volume = "60", number = "4", pages = "477--492", month = jan, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15 (65P05)", MRnumber = "92j:65016", MRreviewer = "Khr. Semerdzhiev", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Han:1992:FEA, author = "Weimin Han", title = "Finite element analysis of a holonomic elastic-plastic problem", journal = j-NUM-MATH, volume = "60", number = "4", pages = "493--508", month = jan, year = "1992", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385733", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73C50 73E99 73V05)", MRnumber = "92k:65164", MRreviewer = "J{\'a}n Lovi{\v{s}}ek", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hinrichsen:1992:SVU, author = "D. Hinrichsen and A. J. Pritchard", title = "On spectral variations under bounded real matrix perturbations", journal = j-NUM-MATH, volume = "60", number = "4", pages = "509--524", month = jan, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (34D10 34L05)", MRnumber = "93a:65051", MRreviewer = "Heike Fa{\ss}bender", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Dynamische Syst., Bremen Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounded real matrix perturbations; eigenvalues; eigenvalues and eigenfunctions; lower bound; matrix algebra; perturbation theory; similarity transformations; spectral value set; spectral variations; stability radii", treatment = "T Theoretical or Mathematical", } @Article{Kerkhoven:1992:AMC, author = "T. Kerkhoven and Y. Saad", title = "On acceleration methods for coupled nonlinear elliptic systems", journal = j-NUM-MATH, volume = "60", number = "4", pages = "525--548", month = jan, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (65B99 65N99)", MRnumber = "92j:65084", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); B2560B (Modelling and equivalent circuits); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Illinois Univ., Urbana-Champaign, IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "acceleration methods; Chebyshev acceleration; Chebyshev approximation; convergence acceleration; convergence of numerical methods; coupled nonlinear elliptic systems; drift-diffusion semiconductor model; Generalized Minimal Residual Algorithm; iterative methods; Jacobian-free mode; nonlinear block Gau beta-Seidel algorithm; nonlinear fixed point iteration; partial differential equations; second order stationary method; semiconductor device models", treatment = "T Theoretical or Mathematical", } @Article{Lee:1992:ATF, author = "S. L. Lee and Roger C. E. Tan and W. S. Tang", title = "{$L_2$}-approximation by the translates of a function and related attenuation factors", journal = j-NUM-MATH, volume = "60", number = "4", pages = "549--568", month = jan, year = "1992", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385736", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (42A16 65D07)", MRnumber = "93d:41009", MRreviewer = "Henry L. Loeb", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Auchmuty:1992:PEE, author = "Giles Auchmuty", title = "A Posteriori Error Estimates for Linear Equations", journal = j-NUM-MATH, volume = "61", number = "1", pages = "1--6", month = feb, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (15A60 65G99)", MRnumber = "92j:65068", MRreviewer = "James Weldon Demmel", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", mynote = "Weak", } @Article{Bank:1992:HBM, author = "Randolph E. Bank and Mohamed Benbourenane", title = "The hierarchical basis multigrid method for convection-diffusion equations", journal = j-NUM-MATH, volume = "61", number = "1", pages = "7--37", month = feb, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65N30 76M20 76Rxx)", MRnumber = "93d:65106", MRreviewer = "Rolf Rannacher", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bermudez:1992:MAF, author = "Alfredo Berm{\'u}dez and Dolores G. Pedreira", title = "Mathematical analysis of a finite element method without spurious solutions for computation of dielectric waveguides", journal = j-NUM-MATH, volume = "61", number = "1", pages = "39--57", month = feb, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N12 78-08 78A50)", MRnumber = "92m:65139", MRreviewer = "P. Rochus", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); B1310 (Waveguides); B5240D (Waveguide and cavity theory)", corpsource = "Dept. de Matematica Aplicada, Univ. de Santiago de Compostela, Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "dielectric waveguides; finite element analysis; finite element method; stability properties; waveguide theory", treatment = "T Theoretical or Mathematical", } @Article{Ewing:1992:AMS, author = "John H. Ewing and Glenn Schober", title = "The area of the {Mandelbrot} set", journal = j-NUM-MATH, volume = "61", number = "1", pages = "59--72", month = feb, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30-04 (30C30 58-04 58F23)", MRnumber = "93e:30006", MRreviewer = "Feliks Przytycki", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{He:1992:SPP, author = "Bingsheng He and Josef Stoer", title = "Solution of projection problems over polytopes", journal = j-NUM-MATH, volume = "61", number = "1", pages = "73--90", month = feb, year = "1992", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385498", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C20 (49M37 65K05 90C25)", MRnumber = "93b:90059", MRreviewer = "A. G. Azpeitia", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Magolu:1992:MBA, author = "Monga-Made Magolu", title = "Modified block-approximate factorization strategies", journal = j-NUM-MATH, volume = "61", number = "1", pages = "91--110", month = feb, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65F35 65N22)", MRnumber = "92i:65069", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Mills:1992:LCL, author = "T. M. Mills and S. J. Smith", title = "The {Lebesgue} constant for {Lagrange} interpolation on equidistant nodes", journal = j-NUM-MATH, volume = "61", number = "1", pages = "111--115", month = feb, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A05 (41A44 65D05)", MRnumber = "92m:41015", MRreviewer = "H. P. Dikshit", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zhang:1992:ABM, author = "Zhimin Zhang", title = "Arch beam models: finite element analysis and superconvergence", journal = j-NUM-MATH, volume = "61", number = "1", pages = "117--143", month = feb, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K05 73V05)", MRnumber = "93b:65180", MRreviewer = "Christoph Schwab", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Banerjee:1992:NEN, author = "Uday Banerjee", title = "A note on the effect of numerical quadrature in finite element eigenvalue approximation", journal = j-NUM-MATH, volume = "61", number = "2", pages = "145--152", month = mar, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N25 (65N30)", MRnumber = "92k:65154", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290T (Finite element analysis); C4130 (Interpolation and function approximation); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Syracuse Univ., NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; differential operators; eigenpairs; eigenvalues and eigenfunctions; finite element analysis; finite element eigenvalue approximation; numerical quadrature; optimal order of convergence", treatment = "T Theoretical or Mathematical", } @Article{Cai:1992:CRE, author = "Xiao-Chuan Cai and William D. Gropp and David E. Keyes", title = "Convergence rate estimate for a domain decomposition method", journal = j-NUM-MATH, volume = "61", number = "2", pages = "153--169", month = mar, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65N12 65N30)", MRnumber = "92k:65181", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic equations; convergence of numerical methods; convergence rate analysis; convergence rate estimate; Dirichlet boundary conditions; domain decomposition method; finite element analysis; finite element discretization; indefinite elliptic problems; mesh size; preconditioned GMRES method; substructures", treatment = "T Theoretical or Mathematical", } @Article{Gatica:1992:CBF, author = "Gabriel N. Gatica and George C. Hsiao", title = "On the coupled {BEM} and {FEM} for a nonlinear exterior {Dirichlet} problem in ${\bf R}^2$", journal = j-NUM-MATH, volume = "61", number = "2", pages = "171--214", month = mar, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N38 (35J65 65N30)", MRnumber = "92j:65179", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Dept. de Matematica, Univ. de Concepcion, Chile", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error estimates; boundary integral; boundary value problem; boundary-value problems; bounded inner region; discrete operator equations; equivalent monotone operator equation; error analysis; finite element analysis; finite element methods; Laplace equation; Lipschitz-continuous; nonlinear exterior Dirichlet problem; nonlinear second order elliptic equation; solvability; Strang type abstract error estimate; sufficient conditions; transmission conditions; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Hu:1992:CTA, author = "Xiaohua Hu and R. A. Nicolaides", title = "Covolume techniques for anisotropic media", journal = j-NUM-MATH, volume = "61", number = "2", pages = "215--234", month = mar, year = "1992", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385505", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N50 (65N12 65N22)", MRnumber = "92k:65180", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290R (Integral equations); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4180 (Integral equations); C4185 (Finite element analysis)", corpsource = "Sch. of Math., Georgia Inst. of Technol., Atlanta, GA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "anisotropic media; approximations; covolume techniques; div-curl system; dual discretization; dual pairs; error analysis; finite element analysis; general meshes; integral equations", treatment = "T Theoretical or Mathematical", } @Article{Makridakis:1992:MFE, author = "Ch. G. Makridakis", title = "On mixed finite element methods for linear elastodynamics", journal = j-NUM-MATH, volume = "61", number = "2", pages = "235--260", month = mar, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (73V05)", MRnumber = "92j:65142", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630C (Elasticity)", corpsource = "Dept. of Math., Crete Univ., Iraklion, Greece", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; discretization; displacement; elasticity; finite element analysis; finite element methods; fully discrete approximations; initial boundary value problem; initial value problems; L/sup 2/ optimal-order error estimates; linear elastodynamics; mixed elements; spatial variables; stress", treatment = "T Theoretical or Mathematical", } @Article{Novo:1992:SRO, author = "Sylvia Novo and Jes{\'u}s Rojo", title = "Some remarks on an {ODE-solver} of {Kirchgraber}", journal = j-NUM-MATH, volume = "61", number = "2", pages = "261--264", month = mar, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05", MRnumber = "92h:65104", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. de Matematica Aplicada a la Ingenieria, Valladolid Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; differential equations; first-order approximation; integration procedure; Kirchgraber's code; LIPS-code; ODE-solver; periodic solutions; perturbations of systems; Poincare map", treatment = "T Theoretical or Mathematical", } @Article{Sun:1992:CNN, author = "Ji-guang Sun", title = "On condition numbers of a nondefective multiple eigenvalue", journal = j-NUM-MATH, volume = "61", number = "2", pages = "265--275", month = mar, year = "1992", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385508", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (65F35)", MRnumber = "93a:65056", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lubich:1992:ECM, author = "C. Lubich", title = "Erratum: {{``On the convergence of multistep methods for nonlinear stiff differential equations''} [Numer. Math. {\bf 58} (1991), no. 8, 839--853 and MR 92d:65127]}", journal = j-NUM-MATH, volume = "61", number = "2", pages = "277--279", month = mar, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06", MRnumber = "92k:65113", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Lubich:1991:CMM}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Eirola:1992:CIS, author = "T. Eirola and J. M. Sanz-Serna", title = "Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods", journal = j-NUM-MATH, volume = "61", number = "3", pages = "281--290", month = apr, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (34A50 58F05 70-08 70H05)", MRnumber = "92m:65090", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Garcia-Archilla:1992:SSK, author = "Bosco Garc{\'i}a-Archilla", title = "A supraconvergent scheme for the {Korteweg--de Vries} equation", journal = j-NUM-MATH, volume = "61", number = "3", pages = "291--310", month = apr, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N06 (35Q53)", MRnumber = "92k:65146", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. de Matematica Aplicada y Comput., Fac. de Ciencias, Valladolid Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; difference equations; finite-difference method; integration; irregular grids; Korteweg--de Vries equation; periodic boundary conditions; second order convergent; supraconvergent", treatment = "T Theoretical or Mathematical", } @Article{King:1992:MAI, author = "J. Thomas King", title = "Multilevel algorithms for ill-posed problems", journal = j-NUM-MATH, volume = "61", number = "3", pages = "311--334", month = apr, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (65R30)", MRnumber = "92k:65090", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Cincinnati Univ., OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence rate; discrete version; first kind integral equations; first kind operator equations; ill-posed problems; integral equations; iterative methods; minimal eigenvalue; multilevel iterative algorithms; Tikhonov type regularization", treatment = "T Theoretical or Mathematical", } @Article{Lube:1992:SDF, author = "G. Lube", title = "Streamline diffusion finite element method for quasilinear elliptic problems", journal = j-NUM-MATH, volume = "61", number = "3", pages = "335--357", month = apr, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76M10)", MRnumber = "93c:65143", MRreviewer = "Zhimin Zhang", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Inst. f{\"u}r Anal., Tech. Univ. Otto von Guericke, Magdeburg, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error estimates; existence theorem; finite element analysis; nonsingular solutions; quasilinear elliptic problems; second order; streamline diffusion finite element method", treatment = "T Theoretical or Mathematical", } @Article{Morton:1992:OEE, author = "K. W. Morton and T. Murdoch and E. S{\"u}li", title = "Optimal error estimation for {Petrov--Galerkin} methods in two dimensions", journal = j-NUM-MATH, volume = "61", number = "3", pages = "359--372", month = apr, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15 76M10)", MRnumber = "93e:65138", MRreviewer = "M. M. Sussman", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Tang:1992:SNS, author = "Tao Tang", title = "Superconvergence of numerical solutions to weakly singular {Volterra} integro-differential equations", journal = j-NUM-MATH, volume = "61", number = "3", pages = "373--382", month = apr, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45D05)", MRnumber = "92k:65198", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Math. and Stat., Simon Fraser Univ., Burnaby, BC, Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "collocation parameters; convergence of numerical methods; first-order Volterra integro-differential equations; graded meshes; integro-differential equations; polynomial degree; spline collocation; splines (mathematics); superconvergence; weakly singular kernel", treatment = "T Theoretical or Mathematical", } @Article{Uhlig:1992:CPW, author = "Frank Uhlig", title = "Are the Coefficients of a Polynomial Well-Conditioned Functions of its Roots?", journal = j-NUM-MATH, volume = "61", number = "3", pages = "383--393", month = apr, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65G99 (65F35 65H05 93B40)", MRnumber = "92k:65082", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1300 (Control theory)", corpsource = "Dept. of Math., Auburn Univ., AL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "closed angular sector; complex plane; condition numbers; control theory; ill-conditioned functions; linear control theory; numerical pole placement algorithms; origin; poles and zeros; polynomial coefficient; polynomials; roots; sensitivity; well-conditioned functions", treatment = "T Theoretical or Mathematical", } @Article{Verlinden:1992:CFD, author = "Pierre Verlinden and Ronald Cools", title = "On cubature formulae of degree $4k+1$ attaining {M}{\"o}ller's lower bound for integrals with circular symmetry", journal = j-NUM-MATH, volume = "61", number = "3", pages = "395--407", month = apr, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "92k:65043", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Weideman:1992:EHR, author = "J. A. C. Weideman", title = "The eigenvalues of {Hermite} and rational spectral differentiation matrices", journal = j-NUM-MATH, volume = "61", number = "3", pages = "409--432", month = apr, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (42C10 65M60 65M70)", MRnumber = "92k:65071", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290M (Numerical integration and differentiation); C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Oregon State Univ., Corvallis, OR, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "collocation methods; condition numbers; convergence of numerical methods; cotangent mapping; differentiation; eigenvalues; eigenvalues and eigenfunctions; first derivative matrices; Fourier series; Galerkin methods; Hermite functions; Hermite polynomials; Laguerre polynomials; matrix algebra; polynomials; rational functions; roots; second derivative matrices; series (mathematics); spectral differentiation matrices; spectral radii; stability properties; unbounded domains", treatment = "T Theoretical or Mathematical", } @Article{Brand:1992:IFP, author = "Clemens W. Brand", title = "An incomplete-factorization preconditioning using repeated red-black ordering", journal = j-NUM-MATH, volume = "61", number = "4", pages = "433--454", month = may, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "92k:65055", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Lagerstattenphys. and -tech., Montanuniv. Leoben, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "condition number; conjugate gradient method; conjugate gradient methods; convergence of numerical methods; cyclic reduction; Dirichlet model problem; incomplete-factorization; iterative methods; iterative solution; linear algebra; linear equations; matrix algebra; preconditioning; repeated red-black ordering", treatment = "T Theoretical or Mathematical", } @Article{Buhmann:1992:SPN, author = "Martin D. Buhmann and Charles A. Micchelli", title = "Spline prewavelets for non-uniform knots", journal = j-NUM-MATH, volume = "61", number = "4", pages = "455--474", month = may, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A45 (41A15)", MRnumber = "93g:41021", MRreviewer = "R. A. Lorentz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept of Math. Sci., IBM T. J. Watson Res. Center, Yorktown Heights, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "function approximation; multiresolution analysis; nonuniform knots; prewavelets; spline prewavelets; spline space; splines (mathematics); univariate spline spaces", treatment = "T Theoretical or Mathematical", } @Article{Graves-Morris:1992:EMV, author = "P. R. Graves-Morris", title = "Extrapolation methods for vector sequences", journal = j-NUM-MATH, volume = "61", number = "4", pages = "475--487", month = may, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B05 (41A20 41A21)", MRnumber = "92m:65010", MRreviewer = "A. Bultheel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Bradford Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; denominator polynomial; eigenvalues and eigenfunctions; error analysis; extrapolation; function approximation; polynomials; vector Pad{\'e} approximant; vector sequences; vectors", treatment = "T Theoretical or Mathematical", } @Article{Lorentzen:1992:AOR, author = "Lisa Lorentzen", title = "Arithmetic operations with regular ${C}$-fractions", journal = j-NUM-MATH, volume = "61", number = "4", pages = "489--499", month = may, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15 (30B70 40A15)", MRnumber = "92m:65024", MRreviewer = "A. Bultheel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Div. of Math. Sci., Trondheim Univ., Norway", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "C-fractions; continued fractions; differences; nonlinear equations; products; ratios; sums", treatment = "T Theoretical or Mathematical", } @Article{Miesbach:1992:SPF, author = "S. Miesbach and H. J. Pesch", title = "Symplectic phase flow approximation for the numerical integration of canonical systems", journal = j-NUM-MATH, volume = "61", number = "4", pages = "501--521", month = may, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34A50 58F05)", MRnumber = "93f:65055", MRreviewer = "B. M. Herbst", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A9810 (Stellar dynamics); A9850D (Kinematics, dynamics, and rotation); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Math. Inst., Tech. Univ. M{\"u}nchen, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "axisymmetric galaxy; canonical systems; differential equations; galaxies; generating function; Hamiltonian dynamical systems; Henon-Heiles system; integration; numerical integration; Poincare invariants; Runge--Kutta methods; Runge--Kutta-type ansatz; stellar dynamics; symplectic phase flow", treatment = "T Theoretical or Mathematical", } @Article{Pitkaranta:1992:PML, author = "Juhani Pitk{\"a}ranta", title = "The problem of membrane locking in finite element analysis of cylindrical shells", journal = j-NUM-MATH, volume = "61", number = "4", pages = "523--542", month = may, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K15 73V05)", MRnumber = "93b:65178", MRreviewer = "I. N. Molchanov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630C (Elasticity); C4185 (Finite element analysis)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cylindrical shells; elasticity; finite element analysis; hemicylindrical shell roof; membrane locking", treatment = "T Theoretical or Mathematical", } @Article{Prossdorf:1992:QMS, author = "S. Pr{\"o}ssdorf and I. H. Sloan", title = "Quadrature method for singular integral equations on closed curves", journal = j-NUM-MATH, volume = "61", number = "4", pages = "543--559", month = may, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45E10 65D30 65E05)", MRnumber = "93c:65166", MRreviewer = "Ezio Venturino", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Karl-Weierstrass-Inst. f{\"u}r Math., Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "closed curves; convergence of numerical methods; error analysis; integral equations; integration; interpolation; quadrature; singular integral equations; stable; trigonometric interpolation", treatment = "T Theoretical or Mathematical", } @Article{Vermiglio:1992:SRK, author = "R. Vermiglio", title = "On the stability of {Runge--Kutta} methods for delay integral equations", journal = j-NUM-MATH, volume = "61", number = "4", pages = "561--577", month = may, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "93b:65214", MRreviewer = "J. {\v{S}}vejda", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Dipartimento di Matematica ed Inf., Udine Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic stability properties; complex parameters; convergence of numerical methods; delay integral equations; fixed delay; integral equations; linear kernels; Runge--Kutta methods; stability; stability properties", treatment = "T Theoretical or Mathematical", } @Article{Barbosa:1992:BLM, author = "Helio J. C. Barbosa and Thomas J. R. Hughes", title = "Boundary {Lagrange} multipliers in finite element methods: error analysis in natural norms", journal = j-NUM-MATH, volume = "62", number = "1", pages = "1--15", month = jun, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "93g:65141", MRreviewer = "Charles I. Goldstein", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Lab. Nacional de Comput. Cientifica-LNCC/CNPq, Rio de Janeiro, Brazil", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Babu{\v{s}}ka--Brezzi condition; boundary-value problems; BVP; convergence; convergence of numerical methods; error analysis; Euler--Lagrange equations; finite element analysis; finite element methods; Galerkin formulation; integral equations; Lagrange multipliers; mesh-dependent norm; mixed formulations; natural mesh-independent norm; numerical stability; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Bartels:1992:SSV, author = "Sven G. Bartels and Desmond J. Higham", title = "The Structured Sensitivity of {Vandermonde}-like Systems", journal = j-NUM-MATH, volume = "62", number = "1", pages = "17--33", month = jun, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (65F05)", MRnumber = "93e:65071", MRreviewer = "George D. Poole", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math. and Comput. Sci., Dundee Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "backward errors; componentwise perturbations; componentwise sensitivity; error analysis; general vector norm; infinity norm based condition numbers; infinity norm dual backward error; least squares problem; linearised least squares backward error; matrix algebra; matrix inversion; minimum infinity-norm solution; order-of-magnitude estimates; perturbation techniques; primal backward error; structured matrices; Toeplitz matrix; underdetermined linear system; Vandermonde-like matrices", treatment = "T Theoretical or Mathematical", } @Article{Eggermont:1992:QEO, author = "P. P. B. Eggermont", title = "On the quadrature error in operational quadrature methods for convolutions", journal = j-NUM-MATH, volume = "62", number = "1", pages = "35--48", month = jun, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45E10 65D32)", MRnumber = "93d:65112", MRreviewer = "G. F. Miller", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math. Sci., Delaware Univ., Newark, DE, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complex plane; convolution equations; error analysis; error estimates; Fourier analysis; integration; Laplace transform; Laplace transforms; operational quadrature methods; quadrature error; smoothness conditions; variation property", treatment = "T Theoretical or Mathematical", } @Article{Shen:1992:EES, author = "Jie Shen", title = "On error estimates of some higher order projection and penalty-projection methods for {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "62", number = "1", pages = "49--73", month = jun, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "35Q30 (65F15 76D05 76M25)", MRnumber = "93a:35122", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/shen-jie.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Inst. for Appl. Math. and Sci. Comput., Indiana Univ., Bloomington, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error estimates; inconsistent Neumann boundary condition; integration; Navier--Stokes equations; numerical integration; penalty-projection methods; pressure approximation; projection schemes; semidiscretized form", treatment = "T Theoretical or Mathematical", } @Article{Tourin:1992:CTP, author = "Agn{\`e}s Tourin", title = "A comparison theorem for a piecewise {Lipschitz} continuous {Hamiltonian} and application to shape-from-shading problems", journal = j-NUM-MATH, volume = "62", number = "1", pages = "75--85", month = jun, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K05 (35F20 49L20 68U05 78A45)", MRnumber = "93d:65064", MRreviewer = "B. G. Mertzios", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1250 (Pattern recognition); C4170 (Differential equations); C4260 (Computational geometry)", corpsource = "CEREMADE Univ., Parix IX-Dauphine, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "comparison theorem; computational geometry; dynamic programming; first-order Hamilton--Jacobi equation; geometrical optics; Lambertian; measured luminous intensity; partial differential equations; pattern recognition; picture processing; piecewise Lipschitz continuous Hamiltonian; shaded image; shape-from-shading problems; smooth curve; viscosity solutions theory", treatment = "T Theoretical or Mathematical", } @Article{VanBarel:1992:NFA, author = "Marc {Van Barel} and Adhemar Bultheel", title = "A new formal approach to the rational interpolation problem", journal = j-NUM-MATH, volume = "62", number = "1", pages = "87--122", month = jun, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (41A05 41A20 65D15)", MRnumber = "93g:65017", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "interpolation; linear algebra; matrix algebra; rational interpolation problem; recursive algorithm; structured matrices", treatment = "T Theoretical or Mathematical", } @Article{Wei:1992:ARB, author = "Mu Sheng Wei", title = "Algebraic relations between the total least squares and least squares problems with more than one solution", journal = j-NUM-MATH, volume = "62", number = "1", pages = "123--148", month = jun, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20", MRnumber = "93f:65038", MRreviewer = "David R. Hill", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Fortin:1992:AEMa, author = "M. Fortin and Z. Mghazli", title = "Analyse d'un {\'e}l{\'e}ment mixte pour le probl{\`e}me de {Stokes}. {I}. {R}{\'e}sultats g{\'e}n{\'e}raux. ({French}) [{Analysis} of a mixed element for the {Stokes} problem. {I}. General results]", journal = j-NUM-MATH, volume = "62", number = "2", pages = "149--160", month = jul, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76M10 (65N30 76D07)", MRnumber = "93g:76078", MRreviewer = "J. T. Oden", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4185 (Finite element analysis)", corpsource = "Dept. de Math., Laval Univ., Que., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "duality; duality (mathematics); error estimates; finite element analysis; mixed problems; Stokes problem", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Fortin:1992:AEMb, author = "M. Fortin and Z. Mghazli", title = "Analyse d'un {\'e}l{\'e}ment mixte pour le probl{\`e}me de {Stokes}. {II}. Construction et estimations d'erreur. ({French}) [{Analysis} of a mixed element for the {Stokes} problem. {II}. Construction and error estimates]", journal = j-NUM-MATH, volume = "62", number = "2", pages = "161--188", month = jul, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76M10 (65N30 76D07)", MRnumber = "93i:76054", MRreviewer = "J. T. Oden", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Dept. de Math. et Inf., Univ. Ibn Tofail, Kenitra, Morocco", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; error analysis; error estimates; finite element analysis; mixed finite element method; nonconforming; Stokes problem", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Oswald:1992:HBM, author = "P. Oswald", title = "On a hierarchical basis multilevel method with nonconforming ${\rm P}1$ elements", journal = j-NUM-MATH, volume = "62", number = "2", pages = "189--212", month = jul, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65F35 65N22 65N30)", MRnumber = "93b:65059", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Papamichael:1992:DDM, author = "N. Papamichael and N. S. Stylianopoulos", title = "A domain decomposition method for approximating the conformal modules of long quadrilaterals", journal = j-NUM-MATH, volume = "62", number = "2", pages = "213--234", month = jul, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30 (65E05)", MRnumber = "93g:30008", MRreviewer = "D. Gaier", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Reddy:1992:SML, author = "Satish C. Reddy and Lloyd N. Trefethen", title = "Stability of the Method of Lines", journal = j-NUM-MATH, volume = "62", number = "2", pages = "235--267", month = jul, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M20 (65F15 65M12)", MRnumber = "93d:65086", MRreviewer = "Dennis C. Jespersen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., MIT, Cambridge, MA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; eigenvalues; eigenvalues and eigenfunctions; Kreiss matrix theorem; linear algebra; method of lines; stability", treatment = "T Theoretical or Mathematical", } @Article{VandeVelde:1992:ADD, author = "Eric F. {Van de Velde} and Jens Lorenz", title = "Adaptive data distribution for concurrent continuation", journal = j-NUM-MATH, volume = "62", number = "2", pages = "269--294", month = jul, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (15A23 65H10 65Y05 65Y20)", MRnumber = "93b:65052", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations); C6110P (Parallel programming)", corpsource = "California Inst. of Technol., Pasadena, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "concurrent programs; continuation methods; data distribution; load balancing; multicomputer implementation; nonlinear equations; parallel programming", treatment = "T Theoretical or Mathematical", } @Article{Chandler:1992:EQM, author = "G. A. Chandler and I. H. Sloan", title = "Erratum: {{``Spline qualocation methods for boundary integral equations''} [Numer. Math. {\bf 58} (1990), no. 5, 537--567 and MR 91m:65323]}", journal = j-NUM-MATH, volume = "62", number = "2", pages = "295--295", month = jul, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "1 165 914", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Chandler:1990:SQM}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Duran:1992:AEB, author = "Ricardo Dur{\'a}n and Rodolfo Rodr{\'i}guez", title = "On the asymptotic exactness of {Bank-Weiser}'s estimator", journal = j-NUM-MATH, volume = "62", number = "3", pages = "297--303", month = aug, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N50)", MRnumber = "93e:65135", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Dept. de Matematica, Univ. Nacional de la Plata, Argentina", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic exactness; Bank-Weiser estimator; energy norm; error analysis; error estimator; FEA; finite element analysis; parallel meshes; regular solutions", treatment = "T Theoretical or Mathematical", } @Article{Elsner:1992:CSA, author = "L. Elsner and I. Koltracht and M. Neumann", title = "Convergence of sequential and asynchronous nonlinear paracontractions", journal = j-NUM-MATH, volume = "62", number = "3", pages = "305--319", month = aug, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (65F10)", MRnumber = "93d:65057", MRreviewer = "H. R. Shen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Fakult{\"a}t f{\"u}r Math., Bielefeld Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asynchronous nonlinear paracontractions; convergence of numerical methods; convex constraints; finite dimensional spaces; iteration schemes; iterative methods; linear algebra; linear systems of equations; nonlinear paracontracting operators; sequential paracontractions", treatment = "T Theoretical or Mathematical", } @Article{Habbal:1992:DFE, author = "A. Habbal and D. Chenais", title = "Deterioration of a finite element method for arch structures when the thickness goes to zero", journal = j-NUM-MATH, volume = "62", number = "3", pages = "321--341", month = aug, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V05 (65N30 73K99)", MRnumber = "93f:73099", MRreviewer = "Claude Surry", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290T (Finite element analysis); C4185 (Finite element analysis)", corpsource = "Lab. de Math., Nice Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arch structures; ellipticity property; energy functional; finite element analysis; finite element method; null thickness; thickness", treatment = "T Theoretical or Mathematical", } @Article{Schwab:1992:NCS, author = "C. Schwab and W. L. Wendland", title = "On numerical cubatures of singular surface integrals in boundary element methods", journal = j-NUM-MATH, volume = "62", number = "3", pages = "343--369", month = aug, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (45D05 47G30 65N38)", MRnumber = "93h:65035", MRreviewer = "Stephen W. Brady", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Maryland Univ., Baltimore, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "admissible integrands; analytic characteristics; boundary element methods; boundary integral equation method; boundary-elements methods; boundary-value problems; Cauchy; Duffy's triangular coordinates; elliptic boundary value problems; extrapolation; hypersingular integrals; integral equations; integration error; kernels; local coordinates; numerical cubatures; piecewise analytic curved surfaces; pseudohomogeneous; Rabinowitz-Richter estimates; singular surface integrals; three-dimensional domains", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Sonar:1992:EPS, author = "T. Sonar", title = "Entropy production in second-order three-point schemes", journal = j-NUM-MATH, volume = "62", number = "3", pages = "371--390", month = aug, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M06 (65M12 65M20)", MRnumber = "93f:65067", MRreviewer = "Randall J. LeVeque", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0570C (Thermodynamic functions and equations of state)", corpsource = "Deutsche Forschungsanstalt f{\"u}r Luft- und Raumfahrt, Inst. f{\"u}r Theor. Str{\"o}mungsmech., G{\"o}ttingen, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conservation laws; difference equations; discretization; discretizations; entropy; entropy production; finite difference methods; Lax--Wendroff type schemes; numerical entropy flux; numerical solution; oscillations; second-order three-point schemes; truncation error", treatment = "T Theoretical or Mathematical", } @Article{Wong:1992:PNFa, author = "Sze-Ping Wong", title = "Preconditioning nonconforming finite element methods for treating {Dirichlet} boundary conditions. {I}", journal = j-NUM-MATH, volume = "62", number = "3", pages = "391--411", month = aug, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "413--438. 65N22 (65N30)", MRnumber = "93g:65136", MRreviewer = "Lubor Malina", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290T (Finite element analysis); C4130 (Interpolation and function approximation); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Wisconsin Univ., Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradient methods; Dirichlet boundary conditions; finite element analysis; finite element discretizations; L/sup 2/ condition numbers; L/sup 2/ singular values; preconditioned operators; preconditioning nonconforming FEA; second order elliptic operators", treatment = "T Theoretical or Mathematical", } @Article{Wong:1992:PNFb, author = "Sze-Ping Wong", title = "Preconditioning nonconforming finite element methods for treating {Dirichlet} boundary conditions. {II}", journal = j-NUM-MATH, volume = "62", number = "3", pages = "413--438", month = aug, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290T (Finite element analysis); C4130 (Interpolation and function approximation); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Wisconsin Univ., Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$B_h$ singular values; conjugate gradient methods; Dirichlet boundary conditions; finite element analysis; finite element discretizations; H/sup 1/ condition numbers; nonconforming finite element methods; preconditioned operators", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1992:LEF, author = "Ivo Babu{\v{s}}ka and Manil Suri", title = "Locking effects in the finite element approximation of elasticity problems", journal = j-NUM-MATH, volume = "62", number = "4", pages = "439--463", month = sep, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73V05)", MRnumber = "93i:65108", MRreviewer = "Luis Trabucho", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Carpenter:1992:AZG, author = "Amos J. Carpenter", title = "Asymptotics for the zeros of the generalized {Bessel} polynomials", journal = j-NUM-MATH, volume = "62", number = "4", pages = "465--482", month = sep, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A20 (33C10 41A60)", MRnumber = "93i:41008", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Chandler:1992:MCC, author = "G. A. Chandler", title = "Midpoint collocation for {Cauchy} singular integral equations", journal = j-NUM-MATH, volume = "62", number = "4", pages = "483--509", month = sep, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45E05)", MRnumber = "93g:65165", MRreviewer = "Baldev K. Sachdeva", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Costabel:1992:SCS, author = "Martin Costabel and William McLean", title = "Spline collocation for strongly elliptic equations on the torus", journal = j-NUM-MATH, volume = "62", number = "4", pages = "511--538", month = sep, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (65D07 65N35)", MRnumber = "93f:65096", MRreviewer = "Gheorghe Micula", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. de Math., Bordeaux 1 Univ., Talence, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "classical boundary integral operators; convergence; convergence of numerical methods; elliptic partial differential equations; error analysis; error estimates; even-degree splines; integral equations; midpoint collocation; nodal collocation; odd-degree splines; partial differential equations; periodic boundary conditions; potential theory; Sobolev spaces; splines (mathematics); strongly elliptic pseudodifferential equations; tensor product splines; torus", treatment = "T Theoretical or Mathematical", } @Article{Higham:1992:EMN, author = "Nicholas J. Higham", title = "Estimating the Matrix $p$-norm", journal = j-NUM-MATH, volume = "62", number = "4", pages = "539--555", month = sep, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35", MRnumber = "93d:65046", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-j.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nikolov:1992:MSQ, author = "Geno Nikolov", title = "On the monotonicity of sequences of quadrature formulae", journal = j-NUM-MATH, volume = "62", number = "4", pages = "557--565", month = sep, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "93d:65029", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Akrivis:1992:FDD, author = "Georgios D. Akrivis", title = "Finite difference discretization of the {Kuramoto--Sivashinsky} equation", journal = j-NUM-MATH, volume = "63", number = "1", pages = "1--11", month = oct, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M06 (65M15)", MRnumber = "93g:65108", MRreviewer = "Meng Zhao Qin", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Baranger:1992:FEA, author = "J. Baranger and D. Sandri", title = "Finite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds. {I}. Discontinuous constraints", journal = j-NUM-MATH, volume = "63", number = "1", pages = "13--27", month = oct, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (76A15 76M10)", MRnumber = "93k:65090", MRreviewer = "I. Christie", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brezinski:1992:BFL, author = "C. Brezinski and M. {Redivo Zaglia} and H. Sadok", title = "A breakdown-free {Lanczos} type algorithm for solving linear systems", journal = j-NUM-MATH, volume = "63", number = "1", pages = "29--38", month = oct, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65F25)", MRnumber = "93f:65028", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Copetti:1992:NAC, author = "M. I. M. Copetti and C. M. Elliott", title = "Numerical analysis of the {Cahn--Hilliard} equation with a logarithmic free energy", journal = j-NUM-MATH, volume = "63", number = "1", pages = "39--65", month = oct, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (65M12 76M10 76T05)", MRnumber = "94b:65130", MRreviewer = "Rolf Rannacher", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Fischer:1992:MHF, author = "Patrick Fischer and Mireille Defranceschi and Joseph Delhalle", title = "Molecular {Hartree--Fock} equations for iteration-variation calculations in momentum space", journal = j-NUM-MATH, volume = "63", number = "1", pages = "67--82", month = oct, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "81V55 (65P05 81-08 81V70)", MRnumber = "93j:81114", MRreviewer = "A. Ventura", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hallatschek:1992:FDG, author = "Klaus Hallatschek", title = "{Fouriertransformation auf d{\"u}nnen Gittern mit hierarchischen Basen}. ({German}) [{Fourier} transform on sparse grids with hierarchical bases]", journal = j-NUM-MATH, volume = "63", number = "1", pages = "83--97", month = oct, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (65T20)", MRnumber = "93f:65014", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", abstract = "Fourier transform on sparse grids with hiearchical bases.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{VanBarel:1992:PAD, author = "Marc {Van Barel} and Adhemar Bultheel", title = "A parallel algorithm for discrete least squares rational approximation", journal = j-NUM-MATH, volume = "63", number = "1", pages = "99--121", month = oct, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15 (65Y05)", MRnumber = "93f:65020", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Katholieke Univ. Leuven, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computation time; discrete least squares rational approximation; least squares approximations; linearized rational approximation; parallel algorithm; parallel algorithms; polynomial approximation; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Xu:1992:GWM, author = "Jin-Chao Xu and Wei-Chang Shann", title = "{Galerkin-wavelet} methods for two-point boundary value problems", journal = j-NUM-MATH, volume = "63", number = "1", pages = "123--144", month = oct, year = "1992", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385851", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L60 (34A50 34B15 65F10)", MRnumber = "94e:65087", MRreviewer = "K. Najzar", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Achdou:1992:TMM, author = "Yves Achdou and Roland Glowinski and Olivier Pironneau", title = "Tuning the mesh of a mixed method for the stream function. Vorticity formulation of the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "63", number = "2", pages = "145--163", month = nov, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N50 (35Q30 65N30 76D05 76D07 76M10)", MRnumber = "93m:65165", MRreviewer = "Lutz Tobiska", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Clements:1992:CPP, author = "John C. Clements", title = "A convexity-preserving ${C}^2$ parametric rational cubic interpolation", journal = j-NUM-MATH, volume = "63", number = "2", pages = "165--171", month = nov, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (65D10)", MRnumber = "93h:65011", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Elbert:1992:ADL, author = "{\'A}rp{\'a}d Elbert and Andrea Laforgia and Lucia G. Rodon{\`o}", title = "Asymptotics for the $n$th-degree {Laguerre} polynomial evaluated at $n$", journal = j-NUM-MATH, volume = "63", number = "2", pages = "173--182", month = nov, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "33C45 (41A21 41A60)", MRnumber = "94e:33010", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ewing:1992:AMF, author = "Richard E. Ewing and JunPing Wang", title = "Analysis of mixed finite element methods on locally refined grids", journal = j-NUM-MATH, volume = "63", number = "2", pages = "183--194", month = nov, year = "1992", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385855", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "93h:65137", MRreviewer = "Zhimin Zhang", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Jai:1992:LPD, author = "M. Jai and G. Bayada and M. Chambat", title = "The {L. P. D. E. M.}: a mixed finite difference method for elliptic problems", journal = j-NUM-MATH, volume = "63", number = "2", pages = "195--211", month = nov, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N06 (65N12 65N30 76D08 76M20)", MRnumber = "93g:65130", MRreviewer = "C. Wayne Mastin", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Mathias:1992:EFD, author = "Roy Mathias", title = "Evaluating the {Fr{\'e}chet} derivative of the matrix exponential", journal = j-NUM-MATH, volume = "63", number = "2", pages = "213--226", month = nov, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30 (65D25 65F35)", MRnumber = "93i:65049", MRreviewer = "De Hui Chen", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Mertins:1992:AFF, author = "U. Mertins", title = "{Asymptotische {Fehlerschranken} f{\"u}r Rayleigh--Ritz-Approximationen selbstadjungierter Eigenwertaufgaben}. ({German}) [{Asymptotic} error estimates for {Rayleigh--Ritz} approximations of selfadjoint eigenvalue problems]", journal = j-NUM-MATH, volume = "63", number = "2", pages = "227--241", month = nov, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N25 (35P15 49R10 65N30)", MRnumber = "93k:65086", MRreviewer = "V. L. Makarov", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "German", } @Article{Monk:1992:FEM, author = "Peter Monk", title = "A finite element method for approximating the time-harmonic {Maxwell} equations", journal = j-NUM-MATH, volume = "63", number = "2", pages = "243--261", month = nov, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (78-08)", MRnumber = "94b:65134", MRreviewer = "Reinhard Scholz", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Verschelde:1992:NRS, author = "Jan Verschelde and Ronald Cools", title = "Nonlinear reduction for solving deficient polynomial systems by continuation methods", journal = j-NUM-MATH, volume = "63", number = "2", pages = "263--282", month = nov, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "93f:65046", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Katholieke Univ. Leuven, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continuation methods; deficient polynomial systems; matrix algebra; polynomials; reduction algorithm; S-polynomials; symbolic elimination methods", treatment = "T Theoretical or Mathematical", } @Article{Wright:1992:DEA, author = "K. Wright", title = "Differential equations for the analytic singular value decomposition of a matrix", journal = j-NUM-MATH, volume = "63", number = "2", pages = "283--295", month = nov, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "93f:65037", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bahlmann:1992:FSF, author = "Dieter Bahlmann and Ulrich Langer", title = "A fast solver for the first biharmonic boundary value problem", journal = j-NUM-MATH, volume = "63", number = "3", pages = "297--313", month = dec, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N06", MRnumber = "94e:65112", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Tech. Univ., Chemnitz, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; approximation theory; biharmonic boundary value problem; boundary-value problems; CGMFC computer code; computational complexity; finite difference equations; finite difference methods; storage-saving method; variational finite difference technique", treatment = "T Theoretical or Mathematical", } @Article{Dahmen:1992:MP, author = "Wolfgang Dahmen and Angela Kunoth", title = "Multilevel preconditioning", journal = j-NUM-MATH, volume = "63", number = "3", pages = "315--344", month = dec, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (41A17 41A63 65N30)", MRnumber = "93j:65065", MRreviewer = "Guo Liang Chen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4180 (Integral equations); C4185 (Finite element analysis)", corpsource = "Inst. f{\"u}r Geometrie und Praktische Math., Aachen, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Besov spaces; boundary-value problems; Bramble--Pasciak--Xu preconditioner; elliptic boundary value problems; finite element analysis; Galerkin methods; growth rate; linear algebra; multilevel expansions; piecewise linear finite elements; piecewise-linear techniques; preconditioning linear systems; refinable shift-invariant spaces; triangulations; uniformly bounded condition numbers; wavelets; weighted sequence norms", treatment = "T Theoretical or Mathematical", } @Article{Frommer:1992:STS, author = "Andreas Frommer and Daniel B. Szyld", title = "${H}$-splittings and two-stage iterative methods", journal = j-NUM-MATH, volume = "63", number = "3", pages = "345--356", month = dec, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "93j:65048", MRreviewer = "S. Galanis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Fachbereich Math., Bergische Univ., GH Wuppertal, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; H-matrices; inner iterations; iteration matrix; iterative methods; linear systems; matrix algebra; nonstationary method; outer splitting; spectral radius; two-stage iterative methods", treatment = "T Theoretical or Mathematical", } @Article{Lasiecka:1992:CRA, author = "Irena Lasiecka", title = "Convergence rates for the approximations of the solutions to algebraic {Riccati} Equations with unbounded coefficients: case of analytic semigroups", journal = j-NUM-MATH, volume = "63", number = "3", pages = "357--390", month = dec, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12 (34G20 34H05 93B40)", MRnumber = "93i:65088", MRreviewer = "Fu Ming Ma", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Virginia Univ., Charlottesville, VA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic Riccati equations; analytic semigroups; approximation theory; approximations; best approximation; boundary/point control problems; convergence of numerical methods; convergence rates; finite-dimensional subspaces; group theory; optimal regularity; unbounded coefficients; unbounded input operators", treatment = "T Theoretical or Mathematical", } @Article{Morgan:1992:PSM, author = "Alexander P. Morgan and Andrew J. Sommese and Charles W. Wampler", title = "A power series method for computing singular solutions to nonlinear analytic systems", journal = j-NUM-MATH, volume = "63", number = "3", pages = "391--409", month = dec, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "93g:65078", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nabben:1992:CMW, author = "Reinhard Nabben", title = "On a Class of Matrices Which Arise in the Numerical Solution of {Euler} Equations", journal = j-NUM-MATH, volume = "63", number = "3", pages = "411--431", month = dec, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30 (15A48 76M99)", MRnumber = "93k:65037", MRreviewer = "Timothy Nigel Phillips", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hackbusch:1992:FDM, author = "Wolfgang Hackbusch", title = "The frequency decomposition multi grid method. {II}. {Convergence} analysis based on the additive {Schwarz} method", journal = j-NUM-MATH, volume = "63", number = "4", pages = "433--453", month = dec, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55", MRnumber = "93j:65203", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Inf. und Praktische Math., Christian-Abrechts-Univ., Kiel, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "additive Schwarz iteration; additive Schwarz method; convergence analysis; convergence of numerical methods; differential equations; frequency decomposition multi-grid method; iterative methods; robust convergence", treatment = "T Theoretical or Mathematical", } @Article{Lubich:1992:TDP, author = "Ch. Lubich and R. Schneider", title = "Time discretization of parabolic boundary integral equations", journal = j-NUM-MATH, volume = "63", number = "4", pages = "455--481", month = dec, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (65M99)", MRnumber = "93j:65224", MRreviewer = "Teodor Potra", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A4430 (Heat transfer in inhomogeneous media and through interfaces); C1130 (Integral transforms); C4170 (Differential equations); C4180 (Integral equations)C4185 (Finite element analysis); C4190 (Other numerical methods); C7320 (Physics and Chemistry)", corpsource = "Inst. f{\"u}r Math. und Geometrie, Innsbruck Univ., Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-elements methods; collocation boundary element methods; convergence estimates; convergence of numerical methods; Galerkin boundary element; heat equation; heat transfer; integral equations; Laplace transform; Laplace transforms; linear multistep method; methods; parabolic boundary integral equations; partial differential equation; partial differential equations; physics computing; single layer potential equation; stability properties; time discretization; time-dependent boundary integral equations", treatment = "T Theoretical or Mathematical", } @Article{Pehlivanov:1992:SAA, author = "A. I. Pehlivanov and R. D. Lazarov and G. F. Carey and S. S. Chow", title = "Superconvergence analysis of approximate boundary-flux calculations", journal = j-NUM-MATH, volume = "63", number = "4", pages = "483--501", month = dec, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "94e:65121", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4185 (Finite element analysis); C4240 (Programming and algorithm theory)", corpsource = "Texas Inst. for Comput. Mech., Texas Univ., Austin, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate boundary-flux calculations; approximation theory; boundary flux error; computational complexity; convergence of numerical methods; elliptic problems; finite element analysis; linear triangular elements; projection post-processing; superconvergence analysis; two-dimensional problems", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Vassilevski:1992:MIM, author = "Panayot S. Vassilevski and Junping Wang", title = "Multilevel iterative methods for mixed finite element discretizations of elliptic problems", journal = j-NUM-MATH, volume = "63", number = "4", pages = "503--520", month = dec, year = "1992", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385872", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65F10)", MRnumber = "93j:65187", MRreviewer = "Beny Neta", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zhang:1992:MSM, author = "Xuejun Zhang", title = "Multilevel {Schwarz} Methods", journal = j-NUM-MATH, volume = "63", number = "4", pages = "521--539", month = dec, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N30)", MRnumber = "93h:65047", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Archer:1993:TSP, author = "J. C. Archer and E. {Le Gruyer}", title = "Two shape preserving {Lagrange} $\cal {C}^2$-interpolants", journal = j-NUM-MATH, volume = "64", number = "1", pages = "1--11", month = jan, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07 (65D10)", MRnumber = "94c:65016", MRreviewer = "Nicolae {\c{T}}{\u{a}}nd{\u{a}}reanu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Inst. Nat. des Sci. Appliqu{\'e}es, Rennes, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational complexity; convexity preservation; interpolation; Lagrange C/sup 2/-interpolant; monotonicity preservation; scattered convex data; shape preservation; uniformly spaced monotone data sites", treatment = "T Theoretical or Mathematical", } @Article{Arunakirinathar:1993:MFE, author = "K. Arunakirinathar and B. D. Reddy", title = "Mixed finite element methods for elastic rods of arbitrary geometry", journal = j-NUM-MATH, volume = "64", number = "1", pages = "13--43", month = jan, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V05 (65N30 73K05)", MRnumber = "94e:73058", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A4630C (Elasticity); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290P (Differential equations); B0290T (Finite element analysis); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. of Appl. Math., Cape Town Univ., South Africa", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; arbitrary geometry; arbitrary loading; boundary-value problem; boundary-value problems; constant curvature; convergence of numerical methods; convergent; elastic rods; elasticity; existence; finite element analysis; finite element approximations; integration; line of centroids; mixed finite element methods; plane sections; reduced integration; rod kinematics; small-strain theory; Timoshenko hypotheses; torsion; undeformed state; uniqueness", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Baughman:1993:CVM, author = "Lisa A. Baughman and Noel J. Walkington", title = "Co-volume methods for degenerate parabolic problems", journal = j-NUM-MATH, volume = "64", number = "1", pages = "45--67", month = jan, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (80A22)", MRnumber = "93j:65147", MRreviewer = "Reinhard Redlinger", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0220 (Group theory); A4710 (General theory, simulation and other computational methods); A4725Q (Convection and heat transfer)", corpsource = "Dept. of Math., Carnegie Mellon Univ., Pittsburgh, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Co volume methods; complementary volume; degenerate parabolic problems; discrete semigroup theory; discrete Stefan problem; group theory; heat transfer; nonlinear semigroups", treatment = "T Theoretical or Mathematical", } @Article{Carstensen:1993:CHO, author = "Carsten Carstensen and Martin Reinders", title = "On a class of higher-order methods for simultaneous root finding of generalized polynomials", journal = j-NUM-MATH, volume = "64", number = "1", pages = "69--84", month = jan, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "93m:65065", MRreviewer = "John B. Kioustelidis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Hannover Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a priori error estimates; a-posteriori error estimates; continuation principle; convergence of numerical methods; error analysis; generalized polynomials; higher order methods; local convergence; polynomials; simultaneous rootfinding; unified approach", treatment = "T Theoretical or Mathematical", } @Article{Du:1993:FEA, author = "Qiang Du and Max Gunzburger and Janet Peterson", title = "Finite element approximation of a periodic {Ginzburg--Landau} model for {type-II} superconductors", journal = j-NUM-MATH, volume = "64", number = "1", pages = "85--114", month = jan, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (82D55)", MRnumber = "93j:65178", MRreviewer = "B. Kellogg", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A7420D (Phenomenological and two-fluid theories); A7460 (Type-II superconductivity); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4185 (Finite element analysis); C7320 (Physics and Chemistry)", corpsource = "Dept. of Math., Michigan State Univ., East Lansing, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; boundary conditions; computational simulation; error analysis; error estimates; finite element algorithms; finite element analysis; finite element approximation; Ginzburg--Landau theory; nonorthogonal lattice; numerical approximation; periodic Ginzburg--Landau model; physics computing; type II superconductors; type-II superconductors", treatment = "T Theoretical or Mathematical", } @Article{Koc:1993:FAS, author = "{\c{C}}etin Kaya Ko{\c{c}} and Guanrong Chen", title = "A fast algorithm for scalar {Nevanlinna--Pick} interpolation", journal = j-NUM-MATH, volume = "64", number = "1", pages = "115--126", month = jan, year = "1993", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01388683", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (30E05 65Y20)", MRnumber = "93k:65011", MRreviewer = "A. Bultheel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4240P (Parallel programming and algorithm theory)", corpsource = "Dept. of Electr. Eng., Houston Univ., TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arithmetic operations; complex numbers; computational complexity; fast algorithm; interpolation; interpolatory rational function; parallel algorithm; parallel algorithms; Pick condition; scalar Nevanlinna--Pick interpolation; unit disk", treatment = "T Theoretical or Mathematical", } @Article{Lindae:1993:SMD, author = "Andreas Lindae", title = "On shooting methods for the discrete {Helmholtz} equation with constant coefficients", journal = j-NUM-MATH, volume = "64", number = "1", pages = "127--145", month = jan, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N06 (65Y20)", MRnumber = "93i:65104", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); C4170 (Differential equations); C4240 (Programming and algorithm theory); C7320 (Physics and Chemistry)", corpsource = "Abteilung f{\"u}r Math., Ulm Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational complexity; constant coefficients; Dirichlet boundary conditions; discrete Helmholtz equation; finite difference methods; finite differences; fluid dynamics; multi-grid program; Navier--Stokes equations; physics computing; recursive multiple shooting methods; redundance-free recursion; square; Stokes-solver; two dimensions", treatment = "T Theoretical or Mathematical", } @Article{Drmac:1993:QCB, author = "Zlatko Drma{\v{c}} and Vjeran Hari", title = "On Quadratic Convergence Bounds for the ${J}$-Symmetric {Jacobi} Method", journal = j-NUM-MATH, volume = "64", number = "2", pages = "147--180", month = feb, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "94g:65043", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Zagreb Univ., Croatia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; eig; eigenvalues and eigenfunctions; hyperbolic plane rotations; J-symmetric matrix; Jacobi-like; matrix algebra; multiple eigenvalues; nla; quadratic convergence bounds; serial J-symmetric Jacobi method", treatment = "T Theoretical or Mathematical", } @Article{Sadkane:1993:BAC, author = "Miloud Sadkane", title = "A block {Arnoldi-Chebyshev} method for computing the leading eigenpairs of large sparse unsymmetric matrices", journal = j-NUM-MATH, volume = "64", number = "2", pages = "181--193", month = feb, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F50 (65F15)", MRnumber = "93i:65053", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "CERFACS, Toulouse, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Alliant FX/80; Arnoldi method; block method; Chebyshev approximation; Chebyshev iteration; eigenvalues and eigenfunctions; Harwell-Boeing matrices; iterative methods; leading eigenpairs; matrix algebra; optimal ellipse; parallel algorithms; simultaneous iteration; sparse unsymmetric matrices; spectrum", treatment = "T Theoretical or Mathematical", } @Article{Sadkane:1993:BAD, author = "Miloud Sadkane", title = "{Block-Arnoldi} and {Davidson} methods for unsymmetric large eigenvalue problems", journal = j-NUM-MATH, volume = "64", number = "2", pages = "195--211", month = feb, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F50 (65F15)", MRnumber = "93i:65054", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "CERFACS, Toulouse, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Arnoldi's method; block-Arnoldi method; convergence; convergence of numerical methods; Davidson method; Davidson's method; eig; eigenvalues and eigenfunctions; leading eigenpairs; matrix algebra; nla; nonsymmetric matrix; sparse; sparse unsymmetric matrices", treatment = "T Theoretical or Mathematical", } @Article{Starke:1993:HAF, author = "Gerhard Starke and Richard S. Varga", title = "A Hybrid {Arnoldi-Faber} Iterative Method for Nonsymmetric Systems of Linear Equations", journal = j-NUM-MATH, volume = "64", number = "2", pages = "213--240", month = feb, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "93m:65043", MRreviewer = "Jan Z{\'i}tko", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. for Comput. Math., Kent State Univ., OH, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Arnoldi's method; Arnoldi-Faber iterative method; convergence of numerical methods; Faber polynomial; Faber polynomials; iterative methods; linear equations; linear system; matrix algebra; nla; nonnormal matrices; nonsymmetric matrix; polynomials; Richardson iterative method; Schwarz--Christoffel mapping function; sparse; sparse nonsymmetric systems; spectrum", treatment = "T Theoretical or Mathematical", } @Article{Veselic:1993:JEA, author = "K. Veseli{\'c}", title = "A {Jacobi} eigenreduction algorithm for definite matrix pairs", journal = j-NUM-MATH, volume = "64", number = "2", pages = "241--269", month = feb, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "94a:65021", MRreviewer = "Heike Fa{\ss}bender", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Fachbereich Math. und Inf., Fernuniv. Gesamthochschule, Hagen, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; eigenvalues and eigenfunctions; global convergence; hyperbolic rotations; Jacobi eigenreduction algorithm; matrix algebra; overdamped quadratic matrix pencil; quadratic convergence; real symmetric matrices; symmetric definite matrix pairs; symmetric indefinite decomposition; trigonometric rotations", treatment = "T Theoretical or Mathematical", } @Article{Chen:1993:NGM, author = "Min Chen and Roger Temam", title = "Nonlinear {Galerkin} method in the finite difference case and wavelet-like incremental unknowns", journal = j-NUM-MATH, volume = "64", number = "3", pages = "271--294", month = mar, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (34G20 65M06)", MRnumber = "94h:65098", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Appl. Math. and Sci. Comput., Indiana Univ., Bloomington, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence results; evolution equations; finite difference case; finite difference discretizations; finite difference methods; first-order incremental unknowns; IMG algorithm; inertial algorithms; inertial manifold-multigrid algorithm; inertial manifolds; L/sup 2/ orthogonality property; long wavelength; nonlinear Galerkin method; wavelet-like incremental unknowns", treatment = "T Theoretical or Mathematical", } @Article{Freund:1993:LAA, author = "Roland W. Freund and Hong Yuan Zha", title = "A look-ahead algorithm for the solution of general {Hankel} systems", journal = j-NUM-MATH, volume = "64", number = "3", pages = "295--321", month = mar, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (15A57 42C05)", MRnumber = "93m:65035", MRreviewer = "Ilmar Arro", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "AT and T Bell Labs., Murray Hill, NJ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; exactly singular submatrices; formally orthogonal polynomials; general Hankel systems; Hankel coefficient matrices; Hankel matrix; Hankel solvers; ill-conditioned submatrices; Lanczos algorithm; linear equations; look-ahead algorithm; matrix algebra; nla; nonsingularity; nonsymmetric Lanczos process; stable procedure", treatment = "T Theoretical or Mathematical", } @Article{Lions:1993:SSV, author = "P. L. Lions and E. Rouy and A. Tourin", title = "Shape-from-shading, viscosity solutions and edges", journal = j-NUM-MATH, volume = "64", number = "3", pages = "323--353", month = mar, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65P05 (65D17 65Y25)", MRnumber = "94b:65166", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1250 (Pattern recognition); C5260B (Computer vision and picture processing)", corpsource = "CEREMADE, Univ. Paris IX-Dauphine, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "apparent contours; boundary conditions; edge detection; edges; existence; first-order Hamilton--Jacobi equation; grazing light edges; image recognition; Lambertian surface; light sources; shadow edges; shape-from-shading problem; single image; uniqueness; viscosity solutions", treatment = "T Theoretical or Mathematical", } @Article{Lyness:1993:QEE, author = "J. N. Lyness and E. de Doncker", title = "Quadrature error expansions. {II}. The full corner singularity", journal = j-NUM-MATH, volume = "64", number = "3", pages = "355--370", month = mar, year = "1993", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01388693", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (65B05)", MRnumber = "94b:65041", MRreviewer = "I. P. Mysovskikh", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic expansion; error analysis; error expansion; extrapolation; full corner singularity; full-corner algebraic singularity; homogeneous function; integrand function; integration; inverse powers; numerical quadrature", treatment = "T Theoretical or Mathematical", } @Article{Notaris:1993:EBG, author = "Sotirios E. Notaris", title = "Error bounds for {Gauss--Kronrod} quadrature formulae of analytic functions", journal = j-NUM-MATH, volume = "64", number = "3", pages = "371--380", month = mar, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "94a:65012", MRreviewer = "Walter Gautschi", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Missouri Univ., Columbia, MO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic functions; continuous linear functional; easy to compute estimates; error analysis; error term; Gauss--Kronrod quadrature formulae; integration; Legendre weight function; numerical examples", treatment = "T Theoretical or Mathematical", } @Article{Notaris:1993:ENG, author = "Sotirios E. Notaris", title = "The error norm of {Gauss--Lobatto} quadrature formulae for weight functions of {Bernstein--Szeg{\H{o}}} type", journal = j-NUM-MATH, volume = "64", number = "3", pages = "381--393", month = mar, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "94a:65013", MRreviewer = "Walter Gautschi", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Missouri Univ., Columbia, MO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic functions; Bernstein--Szeg{\H{o}} weight functions; Chebyshev weights; continuous linear functional; error analysis; error functional; error norm; error term; Gauss--Lobatto quadrature formulae; integration; numerical examples; quadrature polynomial; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Stoffer:1993:GLM, author = "Daniel Stoffer", title = "General linear methods: connection to one step methods and invariant curves", journal = j-NUM-MATH, volume = "64", number = "3", pages = "395--408", month = mar, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (58F12)", MRnumber = "93m:65098", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Swiss Federal Inst. of Technol., Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "attracting sets; convergence of numerical methods; integration; invariant curves; multistep methods; one step methods; strictly stable general linear method", treatment = "T Theoretical or Mathematical", } @Article{Arnold:1993:HER, author = "M. Arnold and K. Strehmel and R. Weiner", title = "Half-explicit {Runge--Kutta} methods for semi-explicit differential-algebraic equations of index $1$", journal = j-NUM-MATH, volume = "64", number = "4", pages = "409--431", month = apr, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (34A09 34A50)", MRnumber = "94c:65089", MRreviewer = "Alexander Ostermann", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Rostock Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; half-explicit Runge--Kutta methods; iterative methods; non-stiff semi-explicit differential-algebraic equations; numerical solution; Runge--Kutta methods; semi-explicit differential-algebraic equations; simplified Newton method", treatment = "T Theoretical or Mathematical", } @Article{Barrett:1993:FEE, author = "John W. Barrett and W. B. Liu", title = "Finite element error analysis of a {quasi-Newtonian} flow obeying the {Carreau} or power law", journal = j-NUM-MATH, volume = "64", number = "4", pages = "433--453", month = apr, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15 76A05 76M10)", MRnumber = "94b:65144", MRreviewer = "A. Jami", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); A4750 (Non-Newtonian dynamics); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; BVP; Carreau Law; error analysis; finite element analysis; finite element approximation; fluid dynamics; non-Newtonian flow; power law; pressure; quasi-Newtonian flow; velocity; viscosity", treatment = "T Theoretical or Mathematical", } @Article{Bornemann:1993:BNE, author = "Folkmar Bornemann and Harry Yserentant", title = "A basic norm equivalence for the theory of multilevel methods", journal = j-NUM-MATH, volume = "64", number = "4", pages = "455--476", month = apr, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65N30)", MRnumber = "94b:65155", MRreviewer = "G. Albinus", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290T (Finite element analysis); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Konrad-Zuse-Zentrum f{\"u}r Informationstech. Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "basic norm equivalence; differential equations; discrete norms; FE subspaces; finite element analysis; finite element spaces; H/sup 1/-norm; interpolation spaces; iterative methods; K-functionals; L/sub 2/-like orthogonal projections; multigrid like iterative methods; multigrid methods; multilevel methods", treatment = "T Theoretical or Mathematical", } @Article{Buttgenbach:1993:CEB, author = "B. B{\"u}ttgenbach and H. Esser and R. J. Nessel", title = "On the comparison of error bounds for finite difference schemes", journal = j-NUM-MATH, volume = "64", number = "4", pages = "477--486", month = apr, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (34A45 41A25)", MRnumber = "94m:65114", MRreviewer = "Bl. Sendov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Lehrstuhl A f{\"u}r Math., RWTH Aachen, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; boundary-value problems; difference equations; differential equations; error analysis; error bounds; finite difference schemes; linear two-point boundary value problems; numerical analysis; ordinary differential equations; quantitative resonance theorem; sharp error bounds; smoothness; tau-modulus", treatment = "T Theoretical or Mathematical", } @Article{Choi:1993:MPM, author = "Y. S. Choi and P. J. McKenna and M. Romano", title = "A mountain pass method for the numerical solution of semilinear wave equations", journal = j-NUM-MATH, volume = "64", number = "4", pages = "487--509", month = apr, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "35A35 (35L70 35Q72 65N99)", MRnumber = "94k:35019", MRreviewer = "Luis V{\'a}zquez", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340K (Waves and wave propagation: general mathematical aspects)", corpsource = "Connecticut Univ., Storrs, CT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; critical points; dual variational problem; elliptic BVP; elliptic equations; mountain pass method; numerical solution; periodic solutions; semilinear wave equations; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Patterson:1993:MOQ, author = "T. N. L. Patterson", title = "Modified optimal quadrature extensions", journal = j-NUM-MATH, volume = "64", number = "4", pages = "511--520", month = apr, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "93m:65033", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Math. and Theor. Phys., Queen's Univ. of Belfast, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "automatic integrators; inextensibility; integration; quadrature rules", treatment = "T Theoretical or Mathematical", } @Article{Simeon:1993:DIM, author = "B. Simeon and C. F{\"u}hrer and P. Rentrop", title = "The {Drazin} inverse in multibody system dynamics", journal = j-NUM-MATH, volume = "64", number = "4", pages = "521--539", month = apr, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "70-08 (34A09 65L05 70E99)", MRnumber = "94b:70003", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0320 (Classical mechanics of discrete systems: general mathematical aspects); C4140 (Linear algebra); C4170 (Differential equations); C7320 (Physics and Chemistry)", corpsource = "Math. Inst., M{\"u}nchen Tech. Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; differential-algebraic systems; Drazin inverse; eigenvalues; equations of motion; generalized matrix inverse; integration; integration schemes; linearized equations; matrix algebra; multibody system dynamics; N-body problems; numerical analysis; ordinary differential equations; physics computing; stabilization; truck model", treatment = "T Theoretical or Mathematical", } @Article{Adjerid:1993:PEE, author = "Slimane Adjerid and Joseph E. Flaherty and Yun J. Wang", title = "A posteriori error estimation with finite element methods of lines for one-dimensional parabolic systems", journal = j-NUM-MATH, volume = "65", number = "1", pages = "1--21", month = may, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (65M15 65M20 65M50)", MRnumber = "94d:65056", MRreviewer = "Erwin Schechter", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. de Math., Univ. des Sci. et de la Technol. Houari Boumediene, Bab Ezzouar Alger, Algeria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p^{\mbox{th}}$-degree polynomial basis; alpha posteriori error estimation; boundary-value problems; discretization error; error analysis; finite element analysis; finite element methods; initial value problems; linear initial-boundary value problems; mesh refinement; mesh spacings; one-dimensional parabolic systems; piecewise polynomial corrections; polynomials", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Ainsworth:1993:UAP, author = "Mark Ainsworth and J. Tinsley Oden", title = "A unified approach to a posteriori error estimation using element residual methods", journal = j-NUM-MATH, volume = "65", number = "1", pages = "23--50", month = may, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15)", MRnumber = "95a:65185", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Texas Inst. for Comput. Mech., Texas Univ., Austin, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori error estimation; adaptive $h$-$p$ finite element analysis; boundary conditions; element residual methods; elliptic partial differential equations; error analysis; finite element analysis; local problems; nonuniform degree; numerical estimates; partial differential equations; possibly irregular meshes; unified approach; upper bounds", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Barlow:1993:PRN, author = "Jesse L. Barlow", title = "Perturbation results for nearly uncoupled {Markov} chains with applications to iterative methods", journal = j-NUM-MATH, volume = "65", number = "1", pages = "51--62", month = may, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "60J10 (65F10 65U05)", MRnumber = "94k:60098", MRreviewer = "Uriel G. Rothblum", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bojanov:1993:IPS, author = "Borislav Bojanov", title = "Interpolation by periodic splines with {Birkhoff} knots", journal = j-NUM-MATH, volume = "65", number = "1", pages = "63--75", month = may, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (65D05 65D07 65D15)", MRnumber = "94e:41022", MRreviewer = "Mircea Ivan", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Campbell:1993:LSC, author = "Stephen L. Campbell", title = "Least squares completions for nonlinear differential algebraic equations", journal = j-NUM-MATH, volume = "65", number = "1", pages = "77--94", month = may, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L99 (34A09 34A50)", MRnumber = "94c:65102", MRreviewer = "W. C. Rheinboldt", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Douglas:1993:PIP, author = "J. {Douglas, Jr.} and P. J. {Paes Leme} and J. E. Roberts and Junping Wang", title = "A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods", journal = j-NUM-MATH, volume = "65", number = "1", pages = "95--108", month = may, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65Y05)", MRnumber = "94c:65134", MRreviewer = "Weimin Han", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate solution; domain decomposition techniques; elliptic equations; finite element analysis; iterative methods; mixed finite element methods; parallel iterative procedure; partial differential equations; second order partial differential equations; time-dependent problems", treatment = "P Practical; T Theoretical or Mathematical", } @Article{OCinneide:1993:EPT, author = "Colm Art O'Cinneide", title = "Entrywise Perturbation Theory and Error Analysis for {Markov} Chains", journal = j-NUM-MATH, volume = "65", number = "1", pages = "109--120", month = may, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "60J10 (65U05)", MRnumber = "94k:60101", MRreviewer = "Uriel G. Rothblum", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other and miscellaneous); B0290B (Error analysis in numerical methods); C1140Z (Other and miscellaneous); C4110 (Error analysis in numerical methods)", corpsource = "Sch. of Ind. Eng., Purdue Univ., West Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eig; entrywise perturbation theory; entrywise relative error; error analysis; la; low relative error; lud; Markov chain; Markov chains; Markov processes; nla; pert; perturbation theory; rounding error; standard assessments; steady-state vector; structured perturbation", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Petras:1993:ARC, author = "Knut Petras", title = "Asymptotics for the remainder of a class of positive quadratures for integrands with an interior singularity", journal = j-NUM-MATH, volume = "65", number = "1", pages = "121--133", month = may, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (41A55)", MRnumber = "94i:65038", MRreviewer = "Yuesheng Xu", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stewart:1993:PMC, author = "G. W. Stewart", title = "On the perturbation of {Markov} chains with nearly transient states", journal = j-NUM-MATH, volume = "65", number = "1", pages = "135--141", month = may, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A51 (60J10 65J10)", MRnumber = "94d:15021", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Alouges:1993:DPD, author = "Fran{\c{c}}ois Alouges and Arnaud Debussche", title = "On the discretization of a partial differential equation in the neighborhood of a periodic orbit", journal = j-NUM-MATH, volume = "65", number = "2", pages = "143--175", month = jun, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M70 (58F20 65L99)", MRnumber = "95c:65162", MRreviewer = "Bo Ling Guo", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Paige:1993:AGT, author = "Christopher C. Paige and Mu Sheng Wei", title = "Analysis of the generalized total least squares problem ${AX}\approx {B}$ when some columns of ${A}$ are free of error", journal = j-NUM-MATH, volume = "65", number = "2", pages = "177--202", month = jun, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20 (15A06 65F35)", MRnumber = "94h:65042", MRreviewer = "Ching-Tsuan Pan", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "nla; total least squares", } @Article{Pierre:1993:NST, author = "Michel Pierre and Jean-R. R. Roche", title = "Numerical simulation of tridimensional electromagnetic shaping of liquid metals", journal = j-NUM-MATH, volume = "65", number = "2", pages = "203--217", month = jun, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65P05)", MRnumber = "94c:65143", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A6810C (Surface energy (surface tension, interface tension, angle of contact, etc.))", corpsource = "Dept. de Math., Nancy Univ., Vandoeuvre-les-Nancy, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; digital simulation; electromagnetic shaping; elliptic boundary value problem; energetic variational formulation; finite element analysis; free surfaces; levitation; liquid metals; magnetic levitation; optimization; piecewise linear finite elements; piecewise-linear techniques; surface energy; surface tension", treatment = "T Theoretical or Mathematical", } @Article{Sivakumar:1993:LSF, author = "N. Sivakumar and J. D. Ward", title = "On the least squares fit by radial functions to multidimensional scattered data", journal = j-NUM-MATH, volume = "65", number = "2", pages = "219--243", month = jun, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A05 (41A63 65D10)", MRnumber = "94d:41006", MRreviewer = "L. L. Schumaker", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Song:1993:SCT, author = "Yongzhong Song", title = "Some comparison theorems for nonnegative splittings of matrices", journal = j-NUM-MATH, volume = "65", number = "2", pages = "245--252", month = jun, year = "1993", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385750", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (15A06)", MRnumber = "94g:65039", MRreviewer = "Guo Rong Wang", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wong:1993:PNF, author = "Sze-Ping Wong", title = "Preconditioning ${P}_1$ nonconforming finite elements: condition numbers and singular value distributions", journal = j-NUM-MATH, volume = "65", number = "2", pages = "253--271", month = jun, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65F35)", MRnumber = "95c:65192", MRreviewer = "Chuan Miao Chen", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Edder:1993:ASM, author = "Olivier Edder", title = "Analysis of a simplified model of drop combustion", journal = j-NUM-MATH, volume = "65", number = "3", pages = "273--284", month = jul, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "34B15 (34A45 47H15 65L10 80A25)", MRnumber = "94m:34049", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ferrandiz:1993:FMM, author = "Jos{\'e} M. Ferr{\'a}ndiz and M. Teresa P{\'e}rez", title = "A family of multistep methods to integrate orbits on spheres", journal = j-NUM-MATH, volume = "65", number = "3", pages = "285--300", month = jul, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34A50 65L20 70-08 70F05)", MRnumber = "94m:65106", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. de Matematica Aplicada a la Ingenieria, Valladolid Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "consistency; convergence; convergence of numerical methods; differential equations; initial value problem; initial value problems; integration; iterative methods; multi-step numerical methods; multistep methods; ODE; orbits on spheres; stability; trajectory problem", treatment = "T Theoretical or Mathematical", } @Article{Notay:1993:CRC, author = "Yvan Notay", title = "On the Convergence Rate of the Conjugate Gradients in Presence of Rounding Errors", journal = j-NUM-MATH, volume = "65", number = "3", pages = "301--317", month = jul, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65F25 65F50 65G05)", MRnumber = "94j:65050", MRreviewer = "Michael J. Eiermann", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Service de Metrol. Nucl{\'e}aire, Univ. Libre de Bruxelles, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradient methods; conjugate gradients; convergence of numerical methods; convergence rate; eigenvalues; error analysis; finite precision arithmetic; iteration numbers; matrix algebra; rounding errors; system matrix", treatment = "T Theoretical or Mathematical", } @Article{Savare:1993:SAA, author = "Giuseppe Savar{\'e}", title = "${A}({\Theta})$-stable approximations of abstract {Cauchy} problems", journal = j-NUM-MATH, volume = "65", number = "3", pages = "319--335", month = jul, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (34A12 34G10 65M12 65M60)", MRnumber = "94h:65062", MRreviewer = "I. P. Gavrilyuk", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Spann:1993:BEM, author = "W. Spann", title = "On the boundary element method for the {Signorini} problem of the {Laplacian}", journal = j-NUM-MATH, volume = "65", number = "3", pages = "337--356", month = jul, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N38 (73V10)", MRnumber = "94e:65128", MRreviewer = "Weimin Han", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Math. Inst. M{\"u}nchen Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary conditions; boundary element Galerkin method; boundary element method; boundary variational inequality formulations; boundary-elements methods; boundary-value problems; convergence; convergence of numerical methods; decomposition-coordination method; discretization; elliptic equations; elliptic PDES; error analysis; Laplacian; partial differential equations; quasi-optimal asymptotic error estimates; Signorini problem; underlying Sobolev spaces", treatment = "T Theoretical or Mathematical", } @Article{Sun:1993:BPA, author = "Ji-guang Sun", title = "Backward perturbation analysis of certain characteristic subspaces", journal = j-NUM-MATH, volume = "65", number = "3", pages = "357--382", month = jul, year = "1993", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385757", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "94f:65041", MRreviewer = "S. F. McCormick", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. of Inf. Process., Umea Univ., Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "characteristic subspaces; eigenvalue problems; eigenvalues and eigenfunctions; generalized eigenvalues; matrix algebra; optimal backward perturbation bounds; perturbation techniques; residual bounds; singular value decomposition; singular values", treatment = "T Theoretical or Mathematical", } @Article{Verlinden:1993:EEC, author = "Pierre Verlinden and Ann Haegemans", title = "An error expansion for cubature with an integrand with homogeneous boundary singularities", journal = j-NUM-MATH, volume = "65", number = "3", pages = "383--406", month = jul, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "94e:65033", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Comput. Sci., Katholieke Univ., Leuven, Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cubature; cubature formula; error analysis; error expansion; homogeneous boundary singularities; integrand; integration; n-dimensional hypercube; numerical integration; simplex", treatment = "T Theoretical or Mathematical", } @Article{Jay:1993:CMD, author = "Laurent Jay", title = "Collocation methods for differential-algebraic equations of index $3$", journal = j-NUM-MATH, volume = "65", number = "4", pages = "407--421", month = aug, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (34A09 34A50)", MRnumber = "94h:65076", MRreviewer = "Jean-Paul Kauthen", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Joe:1993:PCC, author = "S. Joe and Y. Yan", title = "A piecewise constant collocation method using cosine mesh-grading for {Symm}'s equation", journal = j-NUM-MATH, volume = "65", number = "4", pages = "423--433", month = aug, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20", MRnumber = "94g:65144", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kuhn:1993:AEU, author = "Dieter Kuhn", title = "About existence and uniqueness of the restricted total least squares estimation", journal = j-NUM-MATH, volume = "65", number = "4", pages = "435--444", month = aug, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20", MRnumber = "94f:65044", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Mathew:1993:SAIa, author = "Tarek P. Mathew", title = "{Schwarz} alternating and iterative refinement methods for mixed formulations of elliptic problems. {I}. Algorithms and numerical results", journal = j-NUM-MATH, volume = "65", number = "4", pages = "445--468", month = aug, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N12 (65F10 65N30 76M25 76S05)", MRnumber = "94m:65171", MRreviewer = "Robert Beauwens", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4185 (Finite element analysis); C4240P (Parallel programming and algorithm theory)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; elliptic problems; finite element analysis; finite element spaces; indefinite linear systems; iterative refinement methods; matrix algebra; mixed finite element discretizations; overlapping blocks; parallel algorithms; Schwarz alternating method; sequential algorithms", treatment = "T Theoretical or Mathematical", } @Article{Mathew:1993:SAIb, author = "Tarek P. Mathew", title = "{Schwarz} alternating and iterative refinement methods for mixed formulations of elliptic problems. {II}. Convergence theory", journal = j-NUM-MATH, volume = "65", number = "4", pages = "469--492", month = aug, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N12 (65F10 65N30 76M25 76S05)", MRnumber = "94m:65172", MRreviewer = "Robert Beauwens", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C1320 (Stability); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounds; convergence of numerical methods; convergence rates; domain decomposition algorithms; elliptic problems; indefinite linear systems; iterative methods; iterative refinement method; linear systems; locally refined grids; mixed finite element discretizations; mixed formulations; Schwarz alternating method; stability", treatment = "T Theoretical or Mathematical", } @Article{Varga:1993:ADI, author = "Richard S. Varga and Reinhard Nabben", title = "An algorithm for determining if the inverse of a strictly diagonally dominant {Stieltjes} matrix is strictly ultrametric", journal = j-NUM-MATH, volume = "65", number = "4", pages = "493--501", month = aug, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A09", MRnumber = "94e:15008", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Yamamoto:1993:NVS, author = "Nobito Yamamoto and Mitsuhiro T. Nakao", title = "Numerical verifications of solutions for elliptic equations in nonconvex polygonal domains", journal = j-NUM-MATH, volume = "65", number = "4", pages = "503--521", month = aug, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N15 (65N30)", MRnumber = "94e:65117", MRreviewer = "Jike Wu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Kyushu Univ., Fukuoka, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a priori error estimations; elliptic equations; error analysis; finite element analysis; finite element method; L-shaped domain; nonconvex polygonal domains; nonlinear elliptic equation; numerical verification; numerical verifications", treatment = "T Theoretical or Mathematical", } @Article{Zhang:1993:OHM, author = "L.-Q. Zhang and G.-Q. Han", title = "Optimal homotopy methods for solving nonlinear systems. {I}. Nonsingular homotopy paths", journal = j-NUM-MATH, volume = "65", number = "4", pages = "523--538", month = aug, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (65H20)", MRnumber = "94h:65051", MRreviewer = "Zeke Wang", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C1330 (Optimal control); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Autom., South China Univ. of Technol., Guangzhou, China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive step-size control; convergence of numerical methods; geometrical properties; iterative methods; monotone homotopy methods; nonlinear equations; nonlinear systems; nonsingular homotopy paths; optimal control; optimal homotopy methods; structure-variable homotopy algorithms", treatment = "T Theoretical or Mathematical", } @Article{Caselles:1993:GMA, author = "Vicent Caselles and Francine Catt{\'e} and Tomeu Coll and Fran{\c{c}}oise Dibos", title = "A geometric model for active contours in image processing", journal = j-NUM-MATH, volume = "66", number = "1", pages = "1--31", month = oct, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65T20 (53A05)", MRnumber = "94k:65195", MRreviewer = "Dorothy Bollman", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C1250 (Pattern recognition); C4170 (Differential equations); C4260 (Computational geometry); C5260B (Computer vision and picture processing)", corpsource = "Dept. de Math. i Inf., Univ. de les Illes Balears, Palma de Mallorca, Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "active contours; computational geometry; edge detection; geometric model; geometric partial differential equation; image processing; maximum principle; partial differential equations; rigorous mathematical analysis; robust algorithms", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Locher:1993:STR, author = "F. Locher", title = "A stability test for real polynomials", journal = j-NUM-MATH, volume = "66", number = "1", pages = "33--40", month = oct, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "94i:65063", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C1320 (Stability); C4130 (Interpolation and function approximation)", corpsource = "Fern Univ., Hagen, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "argument principle; Chebyshev approximation; Chebyshev polynomials; number of zeros; polynomials; real polynomials; stability; stability test; Sturm sequence techniques; unit circle", treatment = "T Theoretical or Mathematical", } @Article{Lukas:1993:AOG, author = "Mark A. Lukas", title = "Asymptotic optimality of generalized cross-validation for choosing the regularization parameter", journal = j-NUM-MATH, volume = "66", number = "1", pages = "41--66", month = oct, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (47A50 62G05)", MRnumber = "94h:65054", MRreviewer = "L. Berg", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4210 (Formal logic)", corpsource = "Sch. of Math. and Phys. Sci., Murdoch Univ., WA, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic optimality; asymptotic performance; convergence of numerical methods; data smoothing; Fourier differentiation; Fourier transforms; generalized cross-validation; lambda calculus; linear operator equation; regularization parameter; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Rathsfeld:1993:QMD, author = "A. Rathsfeld", title = "On quadrature methods for the double layer potential equation over the boundary of a polyhedron", journal = j-NUM-MATH, volume = "66", number = "1", pages = "67--95", month = oct, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45L10)", MRnumber = "94h:65134", MRreviewer = "G. A. Evans", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290Z (Other numerical methods); C1320 (Stability); C4170 (Differential equations); C4190 (Other numerical methods); C4260 (Computational geometry)", corpsource = "Inst. f{\"u}r Angewandte und Stochastik, Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; computational geometry; convergence of numerical methods; corners; differential equations; double layer potential equation; edges; Laplace transforms; Laplace's equation; mesh refinement; quadrature methods; rates of convergence; stability; three dimensional polyhedron", treatment = "T Theoretical or Mathematical", } @Article{Rhee:1993:GCC, author = "Noah H. Rhee and Vjeran Hari", title = "On the global and cubic convergence of a quasi-cyclic {Jacobi} method", journal = j-NUM-MATH, volume = "66", number = "1", pages = "97--122", month = oct, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "94h:65038", MRreviewer = "James Weldon Demmel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Missouri Univ., Kansas City, MO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic convergence bounds; convergence of numerical methods; cubic convergence; eigenvalues and eigenfunctions; global convergence; Jacobi-like; matrix algebra; nla; quasi-cyclic Jacobi method; symmetric eigenvalue problem; symmetric matrix", treatment = "T Theoretical or Mathematical", } @Article{deVilliers:1993:NSI, author = "J. M. de Villiers", title = "A nodal spline interpolant for the {Gregory} rule of even order", journal = j-NUM-MATH, volume = "66", number = "1", pages = "123--137", month = oct, year = "1993", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385690", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A55 (41A15 65D07 65D32)", MRnumber = "94h:41063", MRreviewer = "Georgi Grozev", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Stellenbosch Univ., South Africa", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "endpoint corrections; even order; generalized Lagrange interpolation operator; Gregory rule; interpolation; nodal spline interpolant; numerical quadrature; splines (mathematics); trapezoidal rule", treatment = "T Theoretical or Mathematical", } @Article{Champier:1993:CUF, author = "S. Champier and T. Gallou{\"e}t and R. Herbin", title = "Convergence of an upstream finite volume scheme for a nonlinear hyperbolic equation on a triangular mesh", journal = j-NUM-MATH, volume = "66", number = "2", pages = "139--157", month = nov, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60", MRnumber = "95b:65117", MRreviewer = "Erwin Schechter", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. de Math., St-Etienne Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; discretisation; explicit Euler scheme; hyperbolic equations; mesh generation; nondecreasing function; nonlinear equations; nonlinear hyperbolic equation; spatial discretisation; stability condition; time discretisation; triangular mesh; unique entropy weak solution; upstream finite volume scheme", treatment = "T Theoretical or Mathematical", } @Article{Fischer:1993:SGA, author = "Thomas M. Fischer", title = "A spectral {Galerkin} approximation of the {Orr--Sommerfeld} eigenvalue problem in a semi-infinite domain", journal = j-NUM-MATH, volume = "66", number = "2", pages = "159--179", month = nov, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L60 (65L15 76E99 76M25)", MRnumber = "94h:65082", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. of Theor. Fluid Mech., German Aerosp. Res. Establ., G{\"o}ttingen, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate eigenvalue; approximation theory; eigenvalues and eigenfunctions; error; exponential transform; finite order; infinite-order convergence; Jacobi polynomials; Orr--Sommerfeld eigenvalue problem; polynomials; semi-infinite domain; spectral analysis; spectral Galerkin approximation; transformation parameter", treatment = "T Theoretical or Mathematical", } @Article{dHennezel:1993:DDM, author = "Fr{\'e}d{\'e}ric d'Hennezel", title = "Domain decomposition method and elastic multi-structures: the stiffened plate problem", journal = j-NUM-MATH, volume = "66", number = "2", pages = "181--197", month = nov, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V05 (65N55 73K10 73K20)", MRnumber = "95c:73080", MRreviewer = "Rolf Rannacher", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kress:1993:NSL, author = "Rainer Kre{\ss} and Ian H. Sloan", title = "On the numerical solution of a logarithmic integral equation of the first kind for the {Helmholtz} equation", journal = j-NUM-MATH, volume = "66", number = "2", pages = "199--214", month = nov, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45L10 65N38)", MRnumber = "95d:65108", MRreviewer = "G. Fairweather", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Numerische und Angewandte Math., G{\"o}ttingen Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; Dirichlet problem; fast convergence rates; Helmholtz equation; integral equations; integration; logarithmic integral equation; numerical solution; quadrature method; single-layer approach; smooth boundary data; smooth domains; Sobolev space setting; two-dimensional Helmholtz", treatment = "T Theoretical or Mathematical", } @Article{Levenberg:1993:GAI, author = "N. Levenberg and L. Reichel", title = "A generalized {ADI} iterative method", journal = j-NUM-MATH, volume = "66", number = "2", pages = "215--233", month = nov, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (31A15)", MRnumber = "94k:65046", MRreviewer = "Roland W. Freund", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math. and Stat., Auckland Univ., New Zealand", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "ADI iterative method; approximate solutions; convergence; convergence of numerical methods; iterative method; iterative methods; matrices; matrix algebra; potential theory; Sylvester's equation", treatment = "T Theoretical or Mathematical", } @Article{Nashed:1993:CNL, author = "M. Z. Nashed and X. Chen", title = "Convergence of {Newton}-like methods for singular operator equations using outer inverses", journal = j-NUM-MATH, volume = "66", number = "2", pages = "235--257", month = nov, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (47H17)", MRnumber = "95a:65102", MRreviewer = "P. Linz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math. Sci., Delaware Univ., Newark, DE, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach-type lemmas; convergence; convergence of numerical methods; Kantorovich theory; matrix algebra; Mysovskii theory; Newton-like methods; operator equations; outer inverses; perturbation bounds; singular operator equations", treatment = "T Theoretical or Mathematical", } @Article{Scherzer:1993:CRI, author = "O. Scherzer", title = "Convergence rates of iterated {Tikhonov} regularized solutions of nonlinear ill-posed problems", journal = j-NUM-MATH, volume = "66", number = "2", pages = "259--279", month = nov, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J20 (47H17 65M30)", MRnumber = "95f:65128", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Inst. f{\"u}r Math., Johannes Kepler Univ., Linz, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence rate; data perturbation; iterated; iterative methods; nonlinear equations; nonlinear ill posed problems; Tikhonov regularization", treatment = "T Theoretical or Mathematical", } @Article{Arcangeli:1993:ASC, author = "R{\'e}mi Arcang{\'e}li and Bernard Ycart", title = "Almost sure convergence of smoothing ${D}^m$-splines for noisy data", journal = j-NUM-MATH, volume = "66", number = "3", pages = "281--294", month = dec, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15", MRnumber = "95a:41014", MRreviewer = "Hans Strauss", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lab. de Math. Appliqu{\'e}es, Pau Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "almost sure convergence; convergence; convergence of numerical methods; error estimates; noisy data; smoothing D/sup m/-splines; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Bank:1993:ACS, author = "Randolph E. Bank and Tony F. Chan", title = "An analysis of the composite step biconjugate gradient method", journal = j-NUM-MATH, volume = "66", number = "3", pages = "295--319", month = dec, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "94i:65043", MRreviewer = "L. W. Ehrlich", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., California Univ., San Diego, La Jolla, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "biconjugate gradient algorithm; biconjugate gradient method; biconjugate gradients; composite step; conjugate gradient methods; conjugate gradients; convergence; convergence of numerical methods; linear system sparse; nla; rounding error; roundoff error; roundoff errors; tridiagonal matrix", treatment = "T Theoretical or Mathematical", } @Article{Forster:1993:ECM, author = "Klaus-J{\"u}rgen F{\"o}rster", title = "Exit criteria and monotonicity in compound quadrature of {Gaussian} type", journal = j-NUM-MATH, volume = "66", number = "3", pages = "321--327", month = dec, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30", MRnumber = "94i:65030", MRreviewer = "Siegfried Filippi", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Inst. f{\"u}r Math., Hildesheim Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "compound quadrature; Gaussian type; integration; monotonicity; Peano-kernel methods; stopping rules", treatment = "T Theoretical or Mathematical", } @Article{Guo:1993:FCP, author = "Ben-yu Guo and Jian Li", title = "{Fourier--Chebyshev} pseudospectral method for two-dimensional vorticity equation", journal = j-NUM-MATH, volume = "66", number = "3", pages = "329--346", month = dec, year = "1993", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385701", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N35 (76D05 76M25)", MRnumber = "94i:65123", MRreviewer = "Bruce A. Finlayson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Shanghai Univ. of Sci. and Technol., China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; fluid dynamics; Fourier--Chebyshev pseudospectral scheme; stability; two dimensional; vortices; vorticity equation", treatment = "T Theoretical or Mathematical", } @Article{Guo:1993:FEA, author = "Wen Guo and Martin Stynes", title = "Finite element analysis of exponentially fitted {Lumped} schemes for time-dependent convection-diffusion problems", journal = j-NUM-MATH, volume = "66", number = "3", pages = "347--371", month = dec, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (65M12 76D30 76M10)", MRnumber = "94j:65118", MRreviewer = "N. Gass", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stevenson:1993:RMG, author = "Rob Stevenson", title = "Robustness of multi-grid applied to anisotropic equations on convex domains and on domains with re-entrant corners", journal = j-NUM-MATH, volume = "66", number = "3", pages = "373--398", month = dec, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N30)", MRnumber = "94i:65047", MRreviewer = "Lucas J{\'o}dar", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zhang:1993:TSA, author = "Liqing Zhang", title = "Two-sided approximation to periodic solutions of ordinary differential equations", journal = j-NUM-MATH, volume = "66", number = "3", pages = "399--409", month = dec, year = "1993", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385704", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (34A50 34C25)", MRnumber = "94h:65080", MRreviewer = "I. Norman Katz", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Amodio:1994:BVM, author = "P. Amodio and F. Mazzia", title = "Boundary value methods for the solution of differential-algebraic equations", journal = j-NUM-MATH, volume = "66", number = "4", pages = "411--421", month = jan, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34A09 34A45 34A50)", MRnumber = "94m:65104", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dipartimento di Matematica, Bari Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "block tridiagonal linear system; block tridiagonal linear system as a discrete problem. Convergence results are stated in the case o; boundary value methods; boundary-value problems; convergence of numerical methods; convergence results; differential equations; differential-algebraic equations; global error; initial value problems; linear initial value problems; linear time-varying problems; ODEs; ordinary differential equations", treatment = "T Theoretical or Mathematical", } @Article{Gohner:1994:SIA, author = "U. G{\"o}hner and G. Warnecke", title = "A shock indicator for adaptive transonic flow computations", journal = j-NUM-MATH, volume = "66", number = "4", pages = "423--448", month = jan, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N50 (76H05 76L05 76M10)", MRnumber = "95a:65199", MRreviewer = "V. Soundalgekar", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); A4740H (Transonic flows); A4740N (Shock-wave interactions)C7320 (Physics and Chemistry); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Math. Inst., Stuttgart Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive finite element method; adaptive transonic flow computations; convergence of numerical methods; error analysis; finite element analysis; flow simulation; moving nodes; physics computing; residual based error indicator; shock indicator; shock resolution mesh refinement; shock waves; transonic flow; transonic potential flows", treatment = "T Theoretical or Mathematical", } @Article{Griebel:1994:ASP, author = "M. Griebel and P. Oswald", title = "On additive {Schwarz} preconditioners for sparse grid discretizations", journal = j-NUM-MATH, volume = "66", number = "4", pages = "449--463", month = jan, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65F50)", MRnumber = "95a:65188", MRreviewer = "Alan L. Andrew", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation)C4185 (Finite element analysis); B0290P (Differential equations); B0290T (Finite element analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Inf., Tech. Univ. M{\"u}nchen, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "additive Schwarz preconditioners; boundary-value problems; condition number; elliptic equations; elliptic model problems; finite element analysis; multilevel preconditioners; sparse grid discretizations; splines (mathematics); subspace splitting", treatment = "T Theoretical or Mathematical", } @Article{McLachlan:1994:SIH, author = "Robert McLachlan", title = "Symplectic integration of {Hamiltonian} wave equations", journal = j-NUM-MATH, volume = "66", number = "4", pages = "465--492", month = jan, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M20", MRnumber = "94m:65146", MRreviewer = "A. Jami", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A0340K (Waves and wave propagation: general mathematical aspects); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Program in Appl. Math., Colorado Univ., Boulder, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "explicit splitting methods; Hamiltonian partial differential equations; Hamiltonian wave equations; integration; numerical analysis; numerical integration; partial differential equations; Poisson structure; symplectic integration; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Pavarino:1994:ASM, author = "Luca F. Pavarino", title = "Additive {Schwarz} methods for the $p$-version finite element method", journal = j-NUM-MATH, volume = "66", number = "4", pages = "493--515", month = jan, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55", MRnumber = "95c:65212", MRreviewer = "Georges A. Lebaud", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4185 (Finite element analysis); C4240P (Parallel programming and algorithm theory)", corpsource = "Dept. of Math. Sci., Rice Univ., Houston, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p$-version finite element method; additive Schwarz methods; ASM iteration operator; constant bound; finite element analysis; finite element discretization; parallel algorithms; polynomials; quadrilateral elements; second order elliptic problems; self adjoint", treatment = "T Theoretical or Mathematical", } @Article{Wampler:1994:ESS, author = "Charles W. Wampler", title = "An efficient start system for multi-homogeneous polynomial continuation", journal = j-NUM-MATH, volume = "66", number = "4", pages = "517--523", month = jan, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10", MRnumber = "94i:65065", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Gen. Motors Res. Labs., Warren, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "efficient start system; homotopy continuation; multi-homogeneous form; multi-homogeneous polynomial continuation; nonsingular solutions; polynomial equations; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Weber:1994:MMP, author = "Hermann Weber", title = "A multigrid method for a {Petrov--Galerkin} discretization of the {Stokes} equations", journal = j-NUM-MATH, volume = "66", number = "4", pages = "525--541", month = jan, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65N30 76D07 76M25)", MRnumber = "95c:65213", MRreviewer = "K. Najzar", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. for Angewandte Math., Zurich Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; differential equations; discrete Stokes equations; discrete systems; iterative methods; multigrid method; Petrov--Galerkin discretization; Petrov--Galerkin formulation; Richardson iteration; smoothing iterations; stiffness matrix; Stokes equations", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1994:HPS, author = "C. Brezinski and M. Redivo Zaglia", title = "Hybrid procedures for solving linear systems", journal = j-NUM-MATH, volume = "67", number = "1", pages = "1--19", month = feb, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "94k:65042", MRreviewer = "George D. Poole", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067001/40670001.htm; http://science.springer.de/nmee/bibs/4067001/40670001.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lab d'Anal. Numer. et d'Optimisation, Univ. des Sci. et Tech. de Lille Flandres Artois, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrary approximate solutions; convergence of numerical methods; Euclidean norm; hybrid procedures; iterative methods; linear systems; residual vector", treatment = "T Theoretical or Mathematical", } @Article{Calvetti:1994:ACI, author = "D. Calvetti and G. H. Golub and L. Reichel", title = "An adaptive {Chebyshev} iterative method for nonsymmetric linear systems based on modified moments", journal = j-NUM-MATH, volume = "67", number = "1", pages = "21--40", month = feb, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "95i:65047", MRreviewer = "Alfonso Laratta", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067001/40670021.htm; http://science.springer.de/nmee/bibs/4067001/40670021.htm", abstract = "Large, sparse nonsymmetric systems of linear equations with a matrix whose eigenvalues lie in the right half plane may be solved by an iterative method based on Chebyshev polynomials for an interval in the complex plane. Knowledge of the convex hull of the spectrum of the matrix is required in order to choose parameters upon which the iteration depends. Adaptive Chebyshev algorithms, in which these parameters are determined by using eigenvalue estimates computed by the power method or modifications thereof, have been described by T. A. Manteuffel (1978). This paper presents an adaptive Chebyshev iterative method, in which eigenvalue estimates are computed from modified moments determined during the iterations. The computation of eigenvalue estimates from modified moments requires less computer storage than when eigenvalue estimates are computed by a power method and yields faster convergence for many problems.", acknowledgement = ack-nhfb # " and " # ack-sf, affiliation = "Dept. of Pure and Appl. Math., Stevens Inst. of Technol., Hoboken, NJ, USA", classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Pure and Appl. Math., Stevens Inst. of Technol., Hoboken, NJ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive Chebyshev iterative method; Adaptive Chebyshev iterative method; Chebyshev approximation; Chebyshev polynomials; convex hull; Convex hull; eigenvalue estimates; Eigenvalue estimates; eigenvalues; Eigenvalues; eigenvalues and eigenfunctions; iterative methods; modified moments; Modified moments; nonsymmetric linear systems; Nonsymmetric linear systems; polynomials", thesaurus = "Chebyshev approximation; Eigenvalues and eigenfunctions; Iterative methods; Polynomials", treatment = "T Theoretical or Mathematical", } @Article{Girao:1994:CCA, author = "Pedro Martins Gir{\~a}o and Robert V. Kohn", title = "Convergence of a crystalline algorithm for the heat equation in one dimension and for the motion of a graph by weighted curvature", journal = j-NUM-MATH, volume = "67", number = "1", pages = "41--70", month = feb, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12 (73B30)", MRnumber = "94m:65138", MRreviewer = "Lydia Kronsj{\"o}", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067001/40670041.htm; http://science.springer.de/nmee/bibs/4067001/40670041.htm", acknowledgement = ack-nhfb, classification = "A4410 (Heat conduction (models, phenomenological description)); A4460 (Thermodynamic processes (phenomenology))", corpsource = "Courant Inst. of Math. Sci., New York, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; crystalline algorithm convergence; geometric evolution law; heat equation; heat transfer; isotropic surface energy; phase transformations; quasilinear parabolic equations; surface energy; weighted curvature", treatment = "T Theoretical or Mathematical", } @Article{Gohberg:1994:FIC, author = "I. Gohberg and V. Olshevsky", title = "Fast Inversion of {Chebyshev--Vandermonde} Matrices", journal = j-NUM-MATH, volume = "67", number = "1", pages = "71--92", month = feb, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (15A09 15A23 65D99 65Y20)", MRnumber = "95c:65049", MRreviewer = "Derek S. Henderson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067001/40670071.htm; http://science.springer.de/nmee/bibs/4067001/40670071.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Sch. of Math. Sci., Tel Aviv Univ., Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Chebyshev approximation; Chebyshev polynomials; Chebyshev--Vandermonde matrices; fast algorithms; fast inversion; matrix algebra; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Goodman:1994:SUF, author = "Jonathan Goodman and Thomas Hou and Eitan Tadmor", title = "On the stability of the unsmoothed {Fourier} method for hyperbolic equations", journal = j-NUM-MATH, volume = "67", number = "1", pages = "93--129", month = feb, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12", MRnumber = "94m:65139", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067001/40670093.htm; http://science.springer.de/nmee/bibs/4067001/40670093.htm", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); B0290P (Differential equations); C1130 (Integral transforms); C4170 (Differential equations)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; Fourier transforms; hyperbolic equations; partial differential equations; stability; unsmoothed Fourier method", treatment = "T Theoretical or Mathematical", } @Article{Ascher:1994:SDI, author = "Uri M. Ascher and Hongsheng Chin and Sebastian Reich", title = "Stabilization of {DAEs} and invariant manifolds", journal = j-NUM-MATH, volume = "67", number = "2", pages = "131--149", month = mar, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20 (34A09 34A45 34A50 65L06)", MRnumber = "94m:65121", MRreviewer = "Bernhard A. Schmitt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067002/40670131.htm; http://science.springer.de/nmee/bibs/4067002/40670131.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Baumgarte stabilization; constraint differentiation; convergence of numerical methods; DAEs; differential equations; higher index differential-algebraic equations; invariant manifolds; orthogonal projections; stabilization; stabilized index reduction", treatment = "T Theoretical or Mathematical", } @Article{Buchauer:1994:SAI, author = "O. Buchauer and P. Hiltmann and M. Kiehl", title = "Sensitivity analysis of initial-value problems with application to shooting techniques", journal = j-NUM-MATH, volume = "67", number = "2", pages = "151--159", month = mar, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (65L20)", MRnumber = "94k:65102", MRreviewer = "S. Sallam", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067002/40670151.htm; http://science.springer.de/nmee/bibs/4067002/40670151.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Lehrstuhl f{\"u}r H{\"o}here und Numerische Math., Tech. Univ. M{\"u}nchen, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite difference approximation; finite difference methods; initial value problems; initial-value problems; sensitivity analysis; shooting techniques", treatment = "T Theoretical or Mathematical", } @Article{Calvo:1994:CS, author = "M. P. Calvo and J. M. {Sanz-Serna}", title = "Canonical {$B$}-series", journal = j-NUM-MATH, volume = "67", number = "2", pages = "161--175", month = mar, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20 (34A45)", MRnumber = "95e:65072", MRreviewer = "Jacques Reverdy", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067002/40670161.htm; http://science.springer.de/nmee/bibs/4067002/40670161.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Fac. de Ciencias, Valladolid Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "canonical B-series; differential equations; Hamiltonian form; integrators; necessary and sufficient condition; numerical methods; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Elman:1994:CLI, author = "Howard C. Elman and Gene H. Golub and Gerhard Starke", title = "On the convergence of line iterative methods for cyclically reduced non-symmetrizable linear systems", journal = j-NUM-MATH, volume = "67", number = "2", pages = "177--190", month = mar, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N06 65N22)", MRnumber = "95b:65049", MRreviewer = "G. Maess", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067002/40670177.htm; http://science.springer.de/nmee/bibs/4067002/40670177.htm", abstract = "We derive analytic bounds on the convergence factors associated with block relaxation methods for solving the discrete two-dimensional convection-diffusion equation. The analysis applies to the reduced systems derived when one step of block Gaussian elimination is performed on red-black ordered two-cyclic discretizations. We consider the case where centered finite difference discretization is used and one cell Reynolds number is less than one in absolute value and the other is greater than one. It is shown that line ordered relaxation exhibits very fast rates of convergence.", acknowledgement = ack-nhfb # " and " # ack-sf, affiliation = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); A4725Q (Convection and heat transfer)", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Analytic bounds; analytic bounds; Block Gaussian elimination; block Gaussian elimination; Block relaxation methods; block relaxation methods; convection; Convergence of line iterative methods; convergence of line iterative methods; convergence of numerical methods; Cyclically reduced nonsymmetrizable linear systems; cyclically reduced nonsymmetrizable linear systems; diffusion; Discrete 2D convection-diffusion equation; discrete 2D convection-diffusion equation; Finite difference discretization; finite difference discretization; finite difference methods; iterative methods; One cell Reynolds number; one cell Reynolds number; Red-black two-cyclic discretisation; red-black two-cyclic discretisation", thesaurus = "Convection; Convergence of numerical methods; Diffusion; Finite difference methods; Iterative methods", treatment = "T Theoretical or Mathematical", } @Article{Fernando:1994:ASV, author = "K. Vince Fernando and Beresford N. Parlett", title = "Accurate singular values and differential $qd$ algorithms", journal = j-NUM-MATH, volume = "67", number = "2", pages = "191--229", month = mar, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "95a:65071", MRreviewer = "Roland W. Freund", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067002/40670191.htm; http://science.springer.de/nmee/bibs/4067002/40670191.htm", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations); C7310 (Mathematics)", corpsource = "NAG Ltd., Oxford, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori upper bounds; bidiagonal matrix; Cholesky LR transformation; convergence of numerical methods; differential equations; differential qd algorithms; LINPACK code; lower bounds; mathematics computing; matrix algebra; singular values; stability; zero-shift bidiagonal QR", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Guillaume:1994:CHO, author = "Ph. Guillaume and M. Masmoudi", title = "Computation of high order derivatives in optimal shape design", journal = j-NUM-MATH, volume = "67", number = "2", pages = "231--250", month = mar, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49Q10 (73K40 73V05)", MRnumber = "94m:49057", MRreviewer = "Bernard Rousselet", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067002/40670231.htm; http://science.springer.de/nmee/bibs/4067002/40670231.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); B0260 (Optimisation techniques); B0290T (Finite element analysis); C1180 (Optimisation techniques); C4185 (Finite element analysis)", corpsource = "Lab. d'Anal. Num{\'e}rique, Univ. Paul Sabatier, Toulouse, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "finite element analysis; finite element method; high order derivatives; Navier--Stokes equations; Navier--Stokes problem; optimal shape design; optimisation; second order derivative; shape optimization problems", treatment = "T Theoretical or Mathematical", } @Article{Ichim:1994:BTM, author = "Ion Ichim and Ionel Molnar", title = "A {Bairstow}'s type method for trigonometric polynomials", journal = j-NUM-MATH, volume = "67", number = "2", pages = "251--259", month = mar, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H99", MRnumber = "94m:65089", MRreviewer = "J. A. Grant", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067002/40670251.htm; http://science.springer.de/nmee/bibs/4067002/40670251.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fac. of Math., Bucharest Univ., Romania", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Bairstow's type method; polynomials; real coefficients; trigonometric polynomials", treatment = "T Theoretical or Mathematical", } @Article{Tyrtyshnikov:1994:HBH, author = "Evgenij E. Tyrtyshnikov", title = "How Bad Are {Hankel} Matrices?", journal = j-NUM-MATH, volume = "67", number = "2", pages = "261--269", month = mar, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (15A12 15A57)", MRnumber = "94m:65075", MRreviewer = "George D. Poole", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067002/40670261.htm; http://science.springer.de/nmee/bibs/4067002/40670261.htm", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. of Numerical Math., Acad. of Sci., Moscow, Russia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Krylov basis matrices; matrix algebra; real positive definite Hankel matrix; spectral condition number; Vandermonde basis matrices", treatment = "T Theoretical or Mathematical", } @Article{Borges:1994:CGL, author = "Carlos F. Borges", title = "On a class of {Gauss}-like quadrature rules", journal = j-NUM-MATH, volume = "67", number = "3", pages = "271--288", month = apr, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (41A55)", MRnumber = "95c:65040", MRreviewer = "Klaus-J{\"u}rgen F{\"o}rster", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067003/40670271.htm; http://science.springer.de/nmee/bibs/4067003/40670271.htm", acknowledgement = ack-nhfb, classification = "C6130B (Graphics techniques)", corpsource = "Code MA/BC, Naval Postgraduate School, Monterey, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computer graphics; computer graphics illumination models; Gauss-like quadrature rules; RGB coordinates; sampled representation; shared abcissas; spectral power density", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Carnicer:1994:LSB, author = "J. M. Carnicer and J. M. Pe{\~n}a", title = "Least supported bases and local linear independence", journal = j-NUM-MATH, volume = "67", number = "3", pages = "289--301", month = apr, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D07 (15A48 41A15)", MRnumber = "95d:65012", MRreviewer = "Georgi Grozev", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067003/40670289.htm; http://science.springer.de/nmee/bibs/4067003/40670289.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Matematica Aplicada, Zaragoza Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "least supported bases; local linear independence; spline spaces; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Dieci:1994:PDN, author = "Luca Dieci and Timo Eirola", title = "Positive definiteness in the numerical solution of {Riccati} differential equations", journal = j-NUM-MATH, volume = "67", number = "3", pages = "303--313", month = apr, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L12 (34A45)", MRnumber = "95b:65099", MRreviewer = "Vasile Dr{\u{a}}gan", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067003/40670303.htm; http://science.springer.de/nmee/bibs/4067003/40670303.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Georgia Tech., Atlanta, GA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; direct algorithms; Hamiltonian system; indirect algorithms; Lyapunov matrix differential equations; Lyapunov methods; numerical solution; positive definiteness; Riccati differential equations; strictly stable multistep scheme", treatment = "T Theoretical or Mathematical", } @Article{Falcone:1994:DTH, author = "Marizio Falcone and Roberto Ferretti", title = "Discrete time high-order schemes for viscosity solutions of {Hamilton--Jacobi--Bellman} equations", journal = j-NUM-MATH, volume = "67", number = "3", pages = "315--344", month = apr, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49L25 (65K10 65P05)", MRnumber = "95d:49045", MRreviewer = "A. I. Subbotin", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067003/40670315.htm; http://science.springer.de/nmee/bibs/4067003/40670315.htm", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C1330 (Optimal control); C4130 (Interpolation and function approximation)", corpsource = "Dipartimento di Matematica, Rome Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; discrete time high-order schemes; dynamic programming; dynamic programming principle; Hamilton--Jacobi--Bellman equations; local truncation error; optimal control; stationary linear first order equation; viscosity solutions", treatment = "T Theoretical or Mathematical", } @Article{Jiang:1994:ORP, author = "Hong Jiang", title = "On the orthogonality of residual polynomials of minimax polynomial preconditioning", journal = j-NUM-MATH, volume = "67", number = "3", pages = "345--364", month = apr, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (33C45 41A10 65F10 65F25)", MRnumber = "95b:65064", MRreviewer = "Hong Kun Xu", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067003/40670345.htm; http://science.springer.de/nmee/bibs/4067003/40670345.htm", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. and Inf. Sci., Queen's Univ., Kingston, Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constrained minimax approximation; de Boor-Rice; Grcar polynomials; liner systems of equations; minimax polynomial preconditioning; minimax techniques; orthogonality; polynomials; residual polynomials; three-term recursive relations", treatment = "T Theoretical or Mathematical", } @Article{Lubich:1994:MTD, author = "Ch. Lubich", title = "On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations", journal = j-NUM-MATH, volume = "67", number = "3", pages = "365--389", month = apr, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M15 (65D30 65M60 65R20)", MRnumber = "95d:65079", MRreviewer = "Rudolf Gorenflo", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067003/40670365.htm; http://science.springer.de/nmee/bibs/4067003/40670365.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Angewandte Math und Stat., Wurzburg Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary integral equations; boundary-value problems; convergence estimates; error bounds; initial value problems; integral equations; Laplace transform; Laplace transforms; linear initial-boundary value problems; multistep time discretization; stability estimates; wave equation", treatment = "T Theoretical or Mathematical", } @Article{Yang:1994:GMW, author = "Daoqi Yang", title = "Grid modification for the wave equation with attenuation", journal = j-NUM-MATH, volume = "67", number = "3", pages = "391--401", month = apr, year = "1994", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050034", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M50 (65M60)", MRnumber = "95b:65113", MRreviewer = "P. Rochus", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067003/40670391.htm; http://science.springer.de/nmee/bibs/4067003/40670391.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340K (Waves and wave propagation: general mathematical aspects)", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "attenuation; basis functions; error estimates; finite element analysis; grid modification; linear friction; mixed finite element method; optimal convergent rates; stability; wave equation; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Bini:1994:ISD, author = "Dario Bini and Luca Gemignani", title = "Iteration schemes for the divide-and-conquer eigenvalue solver", journal = j-NUM-MATH, volume = "67", number = "4", pages = "403--425", month = may, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "94m:65061", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067004/40670403.htm; http://science.springer.de/nmee/bibs/4067004/40670403.htm", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dipartimento di Matematica, Pisa Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "complexity bounds; convergence of numerical methods; divide-and-conquer; eigenvalue solver; eigenvalues and eigenfunctions; globally convergent iteration schemes; iteration schemes; numerical results; problem solving; rank-1 modification; superlinear convergence; symmetric matrix; symmetric tridiagonal eigenvalue problem", treatment = "T Theoretical or Mathematical", } @Article{Chenais:1994:LPC, author = "D. Chenais and J. C. Paumier", title = "On the locking phenomenon for a class of elliptic problems", journal = j-NUM-MATH, volume = "67", number = "4", pages = "427--440", month = may, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73V05)", MRnumber = "95g:65147", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067004/40670427.htm; http://science.springer.de/nmee/bibs/4067004/40670427.htm", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Lab. de Math., Nice Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic analysis; convergence of numerical methods; elastic arch computation; elasticity; elliptic equations; elliptic problems; finite element analysis; finite element scheme; Galerkin approximations; linear elasticity; locking behaviour; locking phenomenon; numerical behaviour; numerical scheme; structural engineering", treatment = "T Theoretical or Mathematical", } @Article{Dryanov:1994:QFF, author = "Dimiter P. Dryanov", title = "Quadrature formulae with free nodes for periodic functions", journal = j-NUM-MATH, volume = "67", number = "4", pages = "441--464", month = may, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A55 (65D32)", MRnumber = "95e:41027", MRreviewer = "Ilya V. Boikov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067004/40670441.htm; http://science.springer.de/nmee/bibs/4067004/40670441.htm", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Sofia Univ., Bulgaria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; explicit expression; free nodes; functions; integration; interpolation; maximal trigonometric degree of precision; open bounded set; periodic functions; polynomials; quadrature formulae; topological degree", treatment = "T Theoretical or Mathematical", } @Article{Guermond:1994:RMP, author = "Jean-Luc Guermond", title = "Remarques sur les m{\'e}thodes de projection pour l'approximation des {\'e}quations de {Navier--Stokes}. ({French}) [{Remarks} on projection methods for approximating {Navier--Stokes} equations]", journal = j-NUM-MATH, volume = "67", number = "4", pages = "465--473", month = may, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (65M99 76D05 76M25)", MRnumber = "95g:65083", MRreviewer = "Pavel N{\u{a}}sl{\u{a}}u", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067004/40670465.htm; http://science.springer.de/nmee/bibs/4067004/40670465.htm", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods); C4130 (Interpolation and function approximation)", corpsource = "Lab. d'Informatique pour la M{\'e}canique et les Sci. de l'Ing{\'e}nieur, CNRS, Orsay, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; approximation theory; convergence estimates; convergence of numerical methods; convergence rate; convergence rates; Navier--Stokes equations; projection methods; velocity", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Hadjidimos:1994:OCS, author = "Apostolos Hadjidimos and Robert J. Plemmons", title = "Optimal $p$-cyclic {SOR}", journal = j-NUM-MATH, volume = "67", number = "4", pages = "475--490", month = may, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (60J10 60J20 65U05)", MRnumber = "95f:65068", MRreviewer = "Roland W. Freund", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067004/40670475.htm; http://science.springer.de/nmee/bibs/4067004/40670475.htm", acknowledgement = ack-nhfb, classification = "B0240C (Queueing theory); B0290H (Linear algebra); C1140C (Queueing theory); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence theory; iterative methods; large scale systems; Markov analysis; Markov chains; Markov processes; matrix algebra; optimal $p$-cyclic SOR; optimal convergence; queueing models; queueing network problems; queueing theory; relaxation theory; structured singular linear systems", treatment = "T Theoretical or Mathematical", } @Article{Haviv:1994:BEA, author = "Moshe Haviv and Ya'acov Ritov", title = "Bounds on the error of an approximate invariant subspace for non-self-adjoint matrices", journal = j-NUM-MATH, volume = "67", number = "4", pages = "491--500", month = may, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "95b:65057", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067004/40670491.htm; http://science.springer.de/nmee/bibs/4067004/40670491.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Stat., Hebrew Univ., Jerusalem, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate invariant subspace; approximation theory; eigenvalues; eigenvalues and eigenfunctions; error analysis; matrix algebra; non-selfadjoint matrices; singular-value separation", treatment = "T Theoretical or Mathematical", } @Article{Jiang:1994:ENI, author = "Xun Jiang and Ricardo H. Nochetto", title = "Effect of numerical integration for elliptic obstacle problems", journal = j-NUM-MATH, volume = "67", number = "4", pages = "501--512", month = may, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35J85 65N15)", MRnumber = "95d:65094", MRreviewer = "Weimin Han", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067004/40670501.htm; http://science.springer.de/nmee/bibs/4067004/40670501.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); B0290P (Differential equations); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "diagonal nonlinearities; discrete maximum principle; elliptic equations; elliptic obstacle problems; error analysis; error estimates; finite element analysis; forcing terms; integration; linear elliptic problem; maximum norm; numerical integration; penalty terms; piecewise linear finite elements; pointwise error estimates; quadrature", treatment = "T Theoretical or Mathematical", } @Article{Shen:1994:RPE, author = "Jie Shen", title = "Remarks on the pressure error estimates for the projection methods", journal = j-NUM-MATH, volume = "67", number = "4", pages = "513--520", month = may, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "35Q30 (35A35 65J15 65M99)", MRnumber = "95c:35197", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/shen-jie.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067004/40670513.htm; http://science.springer.de/nmee/bibs/4067004/40670513.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Pennsylvania State Univ., University Park, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; Navier--Stokes equations; pressure error estimates; projection methods; velocity error estimates", treatment = "T Theoretical or Mathematical", } @Article{Wright:1994:SPE, author = "Stephen J. Wright", title = "Stable parallel elimination for boundary value {ODEs}", journal = j-NUM-MATH, volume = "67", number = "4", pages = "521--535", month = may, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (65F50 65Y05)", MRnumber = "95f:65152", MRreviewer = "Ekkehard Wagenf{\"u}hrer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4067004/40670521.htm; http://science.springer.de/nmee/bibs/4067004/40670521.htm", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations); C4240P (Parallel programming and algorithm theory)", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic parameters; block-diagonal coefficient matrix; boundary value odes; boundary-value problems; column-reordered version; convergence of numerical methods; differential equations; Gaussian elimination; integral conditions; matrix algebra; multipoint conditions; parallel algorithms; row partial pivoting; shared memory systems; shared-memory multiprocessor; stable parallel elimination; vector processor", treatment = "T Theoretical or Mathematical", } @Article{Freund:1994:CEP, author = "Roland W. Freund and Richard S. Varga", title = "Congratulations [to Editor {Professor Josef Stoer} on the Occasion of his Seventieth Birthday, {June 21, 1994}]", journal = j-NUM-MATH, volume = "68", number = "1", pages = "1--1", month = jun, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Calvetti:1994:ABM, author = "D. Calvetti and L. Reichel", title = "Application of a block modified {Chebyshev} algorithm to the iterative solution of symmetric linear systems with multiple right hand side vectors", journal = j-NUM-MATH, volume = "68", number = "1", pages = "3--16", month = jun, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65F50)", MRnumber = "95a:65059", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680003.htm; http://science.springer.de/nmee/bibs/4068001/40680003.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Pure and Appl. Math., Stevens Inst. of Technol., Hoboken, NJ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive Richardson iteration method; block modified Chebyshev algorithm; block modified moments; block tridiagonal matrix; Chebyshev approximation; eigenvalues; eigenvalues and eigenfunctions; inner products; iterative methods; iterative solution; large sparse symmetric positive definite linear systems of equations; linear system; matrix algebra; multiple right hand side vectors; residual matrices; residual polynomials; symmetric linear systems", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Conn:1994:NUA, author = "A. R. Conn and Nick Gould and Ph. L. Toint", title = "A note on using alternative second-order models for the subproblems arising in barrier function methods for minimization", journal = j-NUM-MATH, volume = "68", number = "1", pages = "17--33", month = jun, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C30 (65K05)", MRnumber = "95a:90119", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680017.htm; http://science.springer.de/nmee/bibs/4068001/40680017.htm", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "alternative second-order models; barrier function methods; Harwell Subroutine Library quadratic programming codes; inequality constrained minimisation; iterative methods; minimisation; minimization; Newton-like methods; quadratic programming; subproblems; VE14; VE19", treatment = "T Theoretical or Mathematical", } @Article{Freund:1994:LAB, author = "Roland W. Freund", title = "A look-ahead {Bareiss} algorithm for general {Toeplitz} matrices", journal = j-NUM-MATH, volume = "68", number = "1", pages = "35--69", month = jun, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05 (15A57 42C05 65Y20)", MRnumber = "95d:65025", MRreviewer = "David R. Hill", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680035.htm; http://science.springer.de/nmee/bibs/4068001/40680035.htm", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "AT and T Bell Labs., Murray Hill, NJ, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "banded Toeplitz systems; fast solvers; general Toeplitz matrices; Hermitian indefinite Toeplitz systems; ill-conditioned submatrices; leading principal submatrices; linear equations; look-ahead Bareiss algorithm; matrix algebra; numerical experiments; Toeplitz structure", treatment = "T Theoretical or Mathematical", } @Article{He:1994:SCL, author = "Bingsheng He", title = "Solving a class of linear projection equations", journal = j-NUM-MATH, volume = "68", number = "1", pages = "71--80", month = jun, year = "1994", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050048", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C30 (65K05)", MRnumber = "95b:90113", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680071.htm; http://science.springer.de/nmee/bibs/4068001/40680071.htm", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Nanjing Univ., China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constrained optimization problems; contraction method; convergence of numerical methods; global linear convergence; linear projection equation; linear projection equations; mathematical programming; matrix algebra; orthogonal projection; positive semidefinite matrix; step length rule", treatment = "T Theoretical or Mathematical", } @Article{Jarre:1994:NLS, author = "Florian Jarre", title = "A new line-search step based on the {Weierstrass} $\wp$-function for minimizing a class of logarithmic barrier functions", journal = j-NUM-MATH, volume = "68", number = "1", pages = "81--94", month = jun, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C30 (65K05)", MRnumber = "95h:90131", MRreviewer = "Guang Jun Chen", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680081.htm; http://science.springer.de/nmee/bibs/4068001/40680081.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kocvara:1994:ITS, author = "Michal Ko{\v{c}}vara and Jochem Zowe", title = "An iterative two-step algorithm for linear complementarity problems", journal = j-NUM-MATH, volume = "68", number = "1", pages = "95--106", month = jun, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C33 (65K05)", MRnumber = "95a:90174", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680095.htm; http://science.springer.de/nmee/bibs/4068001/40680095.htm", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Math. Inst., Jena Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradient methods; convergence; convergence of numerical methods; iterative two-step algorithm; large-scale symmetric positive-definite linear complementarity problems; linear complementarity problems; matrix algebra; matrix-vector multiplications; preconditioned conjugate gradient method; projection; relaxation theory; successive overrelaxation method", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Powell:1994:UCT, author = "M. J. D. Powell", title = "The uniform convergence of thin plate spline interpolation in two dimensions", journal = j-NUM-MATH, volume = "68", number = "1", pages = "107--128", month = jun, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A25 (41A15 65D07)", MRnumber = "95c:41037", MRreviewer = "A. H. {\v{Z}}ilinskas", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680107.htm; http://science.springer.de/nmee/bibs/4068001/40680107.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Math. and Theor. Phys., Cambridge Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2D interpolation; Cauchy--Schwarz inequality; convergence of numerical methods; convex hull; error; error analysis; integration; integration by parts; interpolation; interpolation point; least Euclidean distance; splines (mathematics); square integrable second derivatives; thin plate spline interpolation; uniform convergence; variational calculation", treatment = "T Theoretical or Mathematical", } @Article{Schittkowski:1994:PES, author = "K. Schittkowski", title = "Parameter estimation in systems of nonlinear equations", journal = j-NUM-MATH, volume = "68", number = "1", pages = "129--142", month = jun, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (90C30)", MRnumber = "95a:65092", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680129.htm; http://science.springer.de/nmee/bibs/4068001/40680129.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C1220 (Simulation, modelling and identification); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Math. Inst., Bayreuth Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "coupled mass equilibrium models; curve fitting; data analysis; experimental data; Fenoterol; fitting criterion; laboratory data; least squares approximations; measured data; minimum least-squares distance; nonlinear equations; observation times; parameter estimation; pharmaceutical applications; radioimmunological determination; receptor-ligand binding studies; robustness", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1994:CMI, author = "G. W. Stewart", title = "On the Convergence of Multipoint Iterations", journal = j-NUM-MATH, volume = "68", number = "1", pages = "143--147", month = jun, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "95a:65088", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680143.htm; http://science.springer.de/nmee/bibs/4068001/40680143.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence proof; fixed point; iterative methods; multipoint iterations", treatment = "T Theoretical or Mathematical", } @Article{Stoer:1994:PAM, author = "Mechthild Stoer and Geir Dahl", title = "A polyhedral approach to multicommodity survivable network design", journal = j-NUM-MATH, volume = "68", number = "1", pages = "149--167", month = jun, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90B12 (90B10 90C35)", MRnumber = "95d:90034", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680149.htm; http://science.springer.de/nmee/bibs/4068001/40680149.htm", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B0260 (Optimisation techniques); B6150P (Network design and planning)", corpsource = "Konrad-Zuse-Zentrum f{\"u}r Informationstech. Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "capacity design variables; connectivity network design; cost-efficient networks; cutting plane algorithm; graph theory; integer programming; knapsack-like subproblems; multicommodity survivable network design; polyhedral approach; polyhedron; reliability; survivability constraints; telecommunication networks; telecommunications industry; traffic demand", treatment = "T Theoretical or Mathematical", } @Article{Varga:1994:AZP, author = "Richard S. Varga and Amos J. Carpenter", title = "Asymptotics for the zeros and poles of normalized {Pad{\'e}} approximants to $e^z$", journal = j-NUM-MATH, volume = "68", number = "1", pages = "169--185", month = jun, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C15 (33B10 41A21)", MRnumber = "96a:30007", MRreviewer = "H.-J. Runckel", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680169.htm; http://science.springer.de/nmee/bibs/4068001/40680169.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ciarlet:1994:MAS, author = "Philippe G. Ciarlet and Richard S. Varga", title = "In memoriam: {Alston Scott Householder}, 1904--1993", journal = j-NUM-MATH, volume = "68", number = "2", pages = "187--187", month = jul, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "01A70", MRnumber = "1 283 336", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068002/40680187.htm; http://science.springer.de/nmee/bibs/4068002/40680187.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{AitOuAmmi:1994:NGM, author = "Ali {Ait Ou Ammi} and Martine Marion", title = "Nonlinear {Galerkin} methods and mixed finite elements: two-grid algorithms for the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "68", number = "2", pages = "189--213", month = jul, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35Q30 65M60 76D05 76M10)", MRnumber = "95c:65174", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068002/40680189.htm; http://science.springer.de/nmee/bibs/4068002/40680189.htm", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); C4170 (Differential equations); C4185 (Finite element analysis); C7320 (Physics and Chemistry)", corpsource = "Dept. Math.-Inf.-Syst., {\'E}cole Centrale de Lyon, Ecully, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2D incompressible Navier--Stokes equations; coarse grid; fine grid; finite element analysis; finite element spaces; mixed finite elements; Navier--Stokes equations; nonlinear differential equations; nonlinear Galerkin methods; physics computing; pressure; time dependence; two-grid algorithms; velocity", treatment = "T Theoretical or Mathematical", } @Article{Chandrasekaran:1994:BEE, author = "Shivkumar Chandrasekaran and Ilse C. F. Ipsen", title = "Backward Errors for Eigenvalue and Singular Value Decompositions", journal = j-NUM-MATH, volume = "68", number = "2", pages = "215--223", month = jul, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (15A18 65F25)", MRnumber = "95f:65073", MRreviewer = "Alan L. Andrew", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068002/40680215.htm; http://science.springer.de/nmee/bibs/4068002/40680215.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "appropriately scaled matrix; backward errors; eigenvalue; eigenvalues and eigenfunctions; eigenvectors; error bounds; errors; Frobenius norm; matrix algebra; orthogonal decompositions; orthogonal QR factor; residual; singular value decompositions; singular vector computation; symmetric eigenvalue decomposition; two-norm; vectors", treatment = "T Theoretical or Mathematical", } @Article{Cohen:1994:PP, author = "A. M. Cohen", title = "Is the Polynomial So Perfidious?", journal = j-NUM-MATH, volume = "68", number = "2", pages = "225--238", month = jul, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65G05", MRnumber = "95g:65061", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068002/40680225.htm; http://science.springer.de/nmee/bibs/4068002/40680225.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Degond:1994:ESF, author = "Pierre Degond and Brigitte Lucquin-Desreux", title = "An entropy scheme for the {Fokker--Planck} collision operator of plasma kinetic theory", journal = j-NUM-MATH, volume = "68", number = "2", pages = "239--262", month = jul, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "82C40 (76P05 82C31 82D10)", MRnumber = "95f:82031", MRreviewer = "Carlo Cercignani", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068002/40680239.htm; http://science.springer.de/nmee/bibs/4068002/40680239.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gunttner:1994:EBU, author = "R. G{\"u}nttner", title = "Exact bounds for the uniform approximation by cardinal spline interpolants", journal = j-NUM-MATH, volume = "68", number = "2", pages = "263--267", month = jul, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (65D07)", MRnumber = "95f:41014", MRreviewer = "John B. Kioustelidis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068002/40680263.htm; http://science.springer.de/nmee/bibs/4068002/40680263.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Inf., Osnabruck Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p$-periodic interpolation; cardinal spline interpolants; exact bounds; interpolation; method of proof; rth-degree cardinal interpolation; splines (mathematics); uniform approximation", treatment = "T Theoretical or Mathematical", } @Article{Han:1994:BID, author = "Houde Han", title = "The boundary integro-differential equations of three-dimensional {Neumann} problem in linear elasticity", journal = j-NUM-MATH, volume = "68", number = "2", pages = "269--281", month = jul, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N38 (35Q72 73C02 73V99)", MRnumber = "95e:65109", MRreviewer = "Carsten Carstensen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068002/40680269.htm; http://science.springer.de/nmee/bibs/4068002/40680269.htm", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity); A4630C (Elasticity); C4170 (Differential equations); C4180 (Integral equations); C4185 (Finite element analysis); C7440 (Civil and mechanical engineering)", corpsource = "Dept. of Appl. Math., Tsinghua Univ., Beijing, China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "3D Neumann problem; boundary finite element method; boundary integro-differential equations; boundary-elements methods; derivatives; double-layer potential; elasticity; finite element analysis; integro-differential equations; linear elasticity; mechanical engineering computing", treatment = "T Theoretical or Mathematical", } @Article{SriRanga:1994:AQR, author = "A. {Sri Ranga}", title = "Another quadrature rule of highest algebraic degree of precision", journal = j-NUM-MATH, volume = "68", number = "2", pages = "283--294", month = jul, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (41A55)", MRnumber = "95c:65047", MRreviewer = "N. S. Kambo", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068002/40680283.htm; http://science.springer.de/nmee/bibs/4068002/40680283.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. de Ciencas de Comput. e Estatistica, Univ. Estadual Paulista, Sao Paulo, Brazil", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebra; explicit expressions; highest algebraic degree of precision; integrals; integration; mathematics computing; polynomials; positive real axis; quadrature rule; strong c-inversive Stieltjes distributions", treatment = "T Theoretical or Mathematical", } @Article{Stevenson:1994:MIS, author = "Rob Stevenson", title = "Modified {ILU} as a smoother", journal = j-NUM-MATH, volume = "68", number = "2", pages = "295--309", month = jul, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N55)", MRnumber = "95d:65031", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068002/40680295.htm; http://science.springer.de/nmee/bibs/4068002/40680295.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brandts:1994:SPE, author = "Jan H. Brandts", title = "Superconvergence and a posteriori error estimation for triangular mixed finite elements", journal = j-NUM-MATH, volume = "68", number = "3", pages = "311--324", month = sep, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N12 65N15)", MRnumber = "96a:65162", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068003/40680311.htm; http://science.springer.de/nmee/bibs/4068003/40680311.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Inst. of Math., Utrecht Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori error estimation; convergence of numerical methods; error analysis; finite element analysis; mixed finite elements; superconvergence; superconvergence results; triangular; triangular mixed finite elements", treatment = "T Theoretical or Mathematical", } @Article{Kiwiel:1994:CDM, author = "Krzysztof C. Kiwiel", title = "A {Cholesky} dual method for proximal piecewise linear programming", journal = j-NUM-MATH, volume = "68", number = "3", pages = "325--340", month = sep, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C05 (65K05)", MRnumber = "96b:90040", MRreviewer = "Sven-{\AA}ke Gustafson", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068003/40680325.htm; http://science.springer.de/nmee/bibs/4068003/40680325.htm", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Syst. Res. Inst., Warsaw, Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "active constraints; Cholesky dual method; Cholesky factorization; duality (mathematics); iterative methods; iterative refinement; nondifferentiable optimization; nondifferentiable optimization algorithms; piecewise linear programming; piecewise-linear techniques; proximal quadratic term; quadratic programming; search direction finding", treatment = "T Theoretical or Mathematical", } @Article{Moret:1994:AGT, author = "Igor Moret", title = "The approximation of generalized turning points by {Krylov} subspace methods", journal = j-NUM-MATH, volume = "68", number = "3", pages = "341--353", month = sep, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (47H17 65H10)", MRnumber = "95j:65066", MRreviewer = "W. C. Rheinboldt", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068003/40680341.htm; http://science.springer.de/nmee/bibs/4068003/40680341.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Robinson:1994:OSC, author = "Mark P. Robinson and Graeme Fairweather", title = "Orthogonal spline collocation methods for {Schr{\"o}dinger-type} equations in one space variable", journal = j-NUM-MATH, volume = "68", number = "3", pages = "355--375", month = sep, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M70 (65M15 65M20)", MRnumber = "96b:65101", MRreviewer = "Luciano Biasini", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068003/40680355.htm; http://science.springer.de/nmee/bibs/4068003/40680355.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sweldens:1994:AEE, author = "Wim Sweldens and Robert Piessens", title = "Asymptotic error expansion of wavelet approximations of smooth functions. {II}", journal = j-NUM-MATH, volume = "68", number = "3", pages = "377--401", month = sep, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A60 (42C05 65D15)", MRnumber = "96i:41031", MRreviewer = "Ruud van Damme", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068003/40680377.htm; http://science.springer.de/nmee/bibs/4068003/40680377.htm", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C1130 (Integral transforms); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Southern California, Columbia, SC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error expansion; error analysis; error expansion; function approximation; monowavelets; orthogonal wavelets; smooth functions; spline wavelets; wavelet approximations; wavelet transforms", treatment = "T Theoretical or Mathematical", } @Article{Toh:1994:PPP, author = "Kim-Chuan Toh and Lloyd N. Trefethen", title = "Pseudozeros of Polynomials and Pseudospectra of Companion Matrices", journal = j-NUM-MATH, volume = "68", number = "3", pages = "403--425", month = sep, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (65H05)", MRnumber = "95m:65085", MRreviewer = "Guo Liang Chen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068003/40680403.htm; http://science.springer.de/nmee/bibs/4068003/40680403.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Center for Appl. Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "companion matrices; eigenvalues; eigenvalues and eigenfunctions; matrix algebra; poles and zeros; polynomial zerofinding; polynomials; pseudospectra; pseudozeros", treatment = "T Theoretical or Mathematical", } @Article{Zhou:1994:FAA, author = "Aihui Zhou and Jichun Li", title = "The full approximation accuracy for the stream function-vorticity-pressure method", journal = j-NUM-MATH, volume = "68", number = "3", pages = "427--435", month = sep, year = "1994", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050070", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76M25 (65N30 76D07)", MRnumber = "95k:76094", MRreviewer = "Tsorng-Whay Pan", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068003/40680427.htm; http://science.springer.de/nmee/bibs/4068003/40680427.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Dept. of Appl. Phys., Hong Kong Polytech., Kowloon, Hong Kong", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; full approximation accuracy; full approximation convergence; global superconvergence estimates; identity techniques; Navier--Stokes equations; Stokes equations; stream function-vorticity-pressure method; vortices", treatment = "T Theoretical or Mathematical", } @Article{Barrett:1994:QNE, author = "John W. Barrett and W. B. Liu", title = "Quasi-norm error bounds for the finite element approximation of a {non-Newtonian} flow", journal = j-NUM-MATH, volume = "68", number = "4", pages = "437--456", month = oct, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15 76A05 76M10)", MRnumber = "95h:65078", MRreviewer = "G. W. Hedstrom", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068004/40680437.htm; http://science.springer.de/nmee/bibs/4068004/40680437.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4750 (Non-Newtonian dynamics)", corpsource = "Dept. of Math., Imperial Coll. of Sci., Technol. and Med., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; energy type error bounds; finite element analysis; finite element approximation; non-Newtonian flow; nonNewtonian flow; quasi-norm error bounds; viscosity", treatment = "T Theoretical or Mathematical", } @Article{Elden:1994:PAB, author = "Lars Eld{\'e}n and Haesun Park", title = "Perturbation Analysis for Block Downdating of a {Cholesky} Decomposition", journal = j-NUM-MATH, volume = "68", number = "4", pages = "457--467", month = oct, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20 (65F35)", MRnumber = "95i:65061", MRreviewer = "Guo Rong Wang", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068004/40680457.htm; http://science.springer.de/nmee/bibs/4068004/40680457.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hao:1994:MMI, author = "Dinh Nho H{\`a}o", title = "A mollification method for ill-posed problems", journal = j-NUM-MATH, volume = "68", number = "4", pages = "469--506", month = oct, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J20 (65D25 65M30)", MRnumber = "95i:65093", MRreviewer = "Ulrich Tautenhahn", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068004/40680469.htm; http://science.springer.de/nmee/bibs/4068004/40680469.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hegland:1994:SSP, author = "Markus Hegland", title = "A self-sorting in-place fast {Fourier} transform algorithm suitable for vector and parallel processing", journal = j-NUM-MATH, volume = "68", number = "4", pages = "507--547", month = oct, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65T20 (65Y05)", MRnumber = "96e:65082", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068004/40680507.htm; http://science.springer.de/nmee/bibs/4068004/40680507.htm", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods); C5220P (Parallel architecture); C5440 (Multiprocessing systems); C7310 (Mathematics computing)", corpsource = "Centre for Math. Anal. and its Applications, Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "data analysis; distributed memory computers; fast Fourier transforms; floating point pipelines; Fujitsu VP2200; index digit permutations; mathematics computing; matrix recursions; parallel processing; self-sorting in-place fast Fourier transform algorithm; splitting formulas; uniformly long vector lengths; vector processing; vector processor systems", treatment = "A Application; P Practical; T Theoretical or Mathematical", } @Article{VanIseghem:1994:CVS, author = "Jeannette {Van Iseghem}", title = "Convergence of vectorial sequences. Applications", journal = j-NUM-MATH, volume = "68", number = "4", pages = "549--562", month = oct, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B99 (65D15)", MRnumber = "95i:65017", MRreviewer = "Marc Prevost", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4068004/40680549.htm; http://science.springer.de/nmee/bibs/4068004/40680549.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Axelsson:1994:NGC, author = "O. Axelsson and A. T. Chronopoulos", title = "On nonlinear generalized conjugate gradient methods", journal = j-NUM-MATH, volume = "69", number = "1", pages = "1--15", month = nov, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H10 (65J15)", MRnumber = "95i:65079", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069001/40690001.htm; http://science.springer.de/nmee/bibs/4069001/40690001.htm", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C1120 (Mathematical analysis); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Fac. of Math. and Inf., Nijmegen Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conjugate gradient methods; convergence of numerical methods; global convergence; iterative method; nonlinear equations; nonlinear generalized conjugate gradient methods; nonlinear systems; nonsymmetric Jacobians; nonsymmetric linear systems", treatment = "T Theoretical or Mathematical", } @Article{Elsner:1994:MCN, author = "L. Elsner and C. He and V. Mehrmann", title = "Minimizing the Condition Number of a Positive Definite Matrix by Completion", journal = j-NUM-MATH, volume = "69", number = "1", pages = "17--23", month = nov, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (15A12)", MRnumber = "96c:65075", MRreviewer = "Roy Mathias", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069001/40690017.htm; http://science.springer.de/nmee/bibs/4069001/40690017.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Engl:1994:UCD, author = "Heinz W. Engl and Wilhelm Grever", title = "Using the ${\sf L}$-curve for determining optimal regularization parameters", journal = j-NUM-MATH, volume = "69", number = "1", pages = "25--31", month = nov, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J20 (65J10 65R30)", MRnumber = "95k:65059", MRreviewer = "L. J. Lardy", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069001/40690025.htm; http://science.springer.de/nmee/bibs/4069001/40690025.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Math., Johannes Kepler Univ., Linz, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergent regularization strategy; curve fitting; discrepancy principle; ill-posed problem; L-curve; maximal curvature; optimal regularization parameters; optimal systems; order-optimal variant; residuals; Tikhonov-regularized solution norm", treatment = "T Theoretical or Mathematical", } @Article{Laval:1994:PAU, author = "G. Laval and S. Mas-Gallic and P.-A. Raviart", title = "Paraxial approximation of ultrarelativistic intense beams", journal = j-NUM-MATH, volume = "69", number = "1", pages = "33--60", month = nov, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "78A35 (35Q60 65P05 76X05 82D10)", MRnumber = "95j:78018", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069001/40690033.htm; http://science.springer.de/nmee/bibs/4069001/40690033.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Marek:1994:LCE, author = "Ivo Marek and Daniel B. Szyld", title = "Local convergence of the (exact and inexact) iterative aggregation method for linear systems and {Markov} operators", journal = j-NUM-MATH, volume = "69", number = "1", pages = "61--82", month = nov, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (15A51 47A99 47B65 65U05 90C40)", MRnumber = "96c:65052", MRreviewer = "E. L. Yip", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069001/40690061.htm; http://science.springer.de/nmee/bibs/4069001/40690061.htm", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0240 (Probability and statistics); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C1110 (Algebra); C1140 (Probability and statistics); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Katedra Numericke Matematiky, Charles Univ., Prague, Czech Republic", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Banach spaces; convergence of numerical methods; exact iterative aggregation method; inexact correction; inexact iterative aggregation method; iterative methods; linear systems; local convergence; Markov operators; Markov processes; matrix algebra; nearly uncoupled Markov chains; stationary distributions; stochastic matrices; zero-nonzero structures", treatment = "T Theoretical or Mathematical", } @Article{Schmidt:1994:BED, author = "G{\"u}nther Schmidt", title = "Boundary element discretization of {Poincar{\'e}--Steklov} operators", journal = j-NUM-MATH, volume = "69", number = "1", pages = "83--101", month = nov, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N38 (65N55)", MRnumber = "96e:65072", MRreviewer = "B. Kellogg", bibdate = "Mon Oct 18 20:12:42 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069001/40690083.htm; http://science.springer.de/nmee/bibs/4069001/40690083.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Spann:1994:EEA, author = "W. Spann", title = "Error estimates for the approximation of semicoercive variational inequalities", journal = j-NUM-MATH, volume = "69", number = "1", pages = "103--116", month = nov, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49J40 (47H17 47H19 65K10)", MRnumber = "95k:49025", MRreviewer = "Francesco Scarpini", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069001/40690103.htm; http://science.springer.de/nmee/bibs/4069001/40690103.htm", acknowledgement = ack-nhfb, classification = "B0240 (Probability and statistics); B0260 (Optimisation techniques); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290T (Finite element analysis); C1140 (Probability and statistics); C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4185 (Finite element analysis); C7440 (Civil and mechanical engineering computing)", corpsource = "Math. Inst., M{\"u}nchen Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "abstract error estimate; approximation theory; beam; center of forces; contact set; convergence of numerical methods; convex hull; error analysis; exact solution; finite element analysis; finite element approximation; mesh size; numerical convergence rates; obstacle problem; optimal convergence order; Poisson's equation; second order variational inequalities; semicoercive variational inequality approximation; Signorini boundary conditions; stochastic processes; structural engineering computing; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Zerner:1994:AOF, author = "Martin Zerner", title = "An asymptotically optimal finite element scheme for the arch problem", journal = j-NUM-MATH, volume = "69", number = "1", pages = "117--123", month = nov, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L60 (65J10 65N30)", MRnumber = "95i:65117", MRreviewer = "Martin Stynes", bibdate = "Thu Jan 23 07:25:38 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069001/40690117.htm; http://science.springer.de/nmee/bibs/4069001/40690117.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Chen:1994:SAE, author = "Hongsen Chen and Bo Li", title = "Superconvergence analysis and error expansion for the {Wilson} nonconforming finite element", journal = j-NUM-MATH, volume = "69", number = "2", pages = "125--140", month = dec, year = "1994", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050084", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "95k:65105", MRreviewer = "Bernard Bialecki", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069002/40690125.htm; http://science.springer.de/nmee/bibs/4069002/40690125.htm", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4180 (Integral equations); C4185 (Finite element analysis)", corpsource = "Inst. f{\"u}r Angewandte Math., Heidelberg Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; convergence of numerical methods; error analysis; error estimates; error expansion; error expansions; finite element analysis; negative norms; nonuniform rectangular meshes; superconvergence analysis; superconvergence estimates; two dimensional second order elliptic boundary value problems; uniform rectangular meshes; Wilson nonconforming finite element", treatment = "T Theoretical or Mathematical", } @Article{Frommer:1994:ATS, author = "Andreas Frommer and Daniel B. Szyld", title = "Asynchronous two-stage iterative methods", journal = j-NUM-MATH, volume = "69", number = "2", pages = "141--153", month = dec, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "95m:65049", MRreviewer = "Mark Ainsworth", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069002/40690141.htm; http://science.springer.de/nmee/bibs/4069002/40690141.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Fachbereich Math., Wuppertal Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic equations; asynchronous two-stage iterative methods; convergence; convergence of numerical methods; H matrices; iterative methods; linear systems; matrix algebra; monotone matrices; parallel block two stage iterative methods", treatment = "T Theoretical or Mathematical", } @Article{Huang:1994:RMO, author = "Hongci Huang and Weimin Han and Jinshi Zhou", title = "The regularization method for an obstacle problem", journal = j-NUM-MATH, volume = "69", number = "2", pages = "155--166", month = dec, year = "1994", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050086", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49J40 (65K10)", MRnumber = "96b:49016", MRreviewer = "Muhammad Aslam Noor", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069002/40690155.htm; http://science.springer.de/nmee/bibs/4069002/40690155.htm", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Hong Kong Baptist Coll., Kowloon, Hong Kong", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori error estimates; a priori error estimates; convergence of numerical methods; differential equations; error analysis; minimisation; non differentiable minimization problems; obstacle problem; regularization method; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Kornhuber:1994:MMM, author = "Ralf Kornhuber", title = "Monotone multigrid methods for elliptic variational inequalities. {I}", journal = j-NUM-MATH, volume = "69", number = "2", pages = "167--184", month = dec, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65K05)", MRnumber = "96d:65201", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069002/40690167.htm; http://science.springer.de/nmee/bibs/4069002/40690167.htm", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Konrad-Zuse-Zentrum f{\"u}r Informationstechnik Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic convergence rates; convergence of numerical methods; differential equations; discrete elliptic variational inequalities; elliptic variational inequalities; fast solvers; finite element analysis; globally convergent; monotone multigrid methods; obstacle problems; piecewise linear finite elements; relaxation methods; search directions; successive subspace correction; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Pavarino:1994:SML, author = "Luca F. Pavarino", title = "{Schwarz} methods with local refinement for the $p$-version finite element method", journal = j-NUM-MATH, volume = "69", number = "2", pages = "185--211", month = dec, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "95i:65161", MRreviewer = "I. Norman Katz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069002/40690185.htm; http://science.springer.de/nmee/bibs/4069002/40690185.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290T (Finite element analysis); C4130 (Interpolation and function approximation); C4185 (Finite element analysis)", corpsource = "Dept. of Comput. and Appl. Math., Rice Univ., Houston, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "elliptic equations; elliptic problem; finite element analysis; finite element method; iteration operator; iterative methods; local refinement; optimal bound; parallel; polylogarithmic growth; scalable; Schwarz methods", treatment = "T Theoretical or Mathematical", } @Article{Pousin:1994:CSP, author = "J. Pousin and J. Rappaz", title = "Consistency, stability, a priori and a posteriori errors for {Petrov--Galerkin} methods applied to nonlinear problems", journal = j-NUM-MATH, volume = "69", number = "2", pages = "213--231", month = dec, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N12 65N15)", MRnumber = "95k:65111", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069002/40690213.htm; http://science.springer.de/nmee/bibs/4069002/40690213.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290K (Nonlinear and functional equations); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4150 (Nonlinear and functional equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math., EPF-Lausanne, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori errors; a priori errors; adaptive finite element methods; consistency; error analysis; error estimates; finite element analysis; Galerkin method; mesh refinement; nonlinear elliptic problems; nonlinear equations; nonlinear problems; numerical stability; Petrov--Galerkin methods; stability", treatment = "T Theoretical or Mathematical", } @Article{Xu:1994:CBO, author = "Yuan Xu", title = "A class of bivariate orthogonal polynomials and cubature formula", journal = j-NUM-MATH, volume = "69", number = "2", pages = "233--241", month = dec, year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32 (41A55)", MRnumber = "96b:65027", MRreviewer = "Guo Hua Min", bibdate = "Mon Oct 18 01:28:20 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/4069002/40690233.htm; http://science.springer.de/nmee/bibs/4069002/40690233.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Borwein:1995:MER, author = "J. M. Borwein and A. S. Lewis and M. N. Limber and D. Noll", title = "Maximum entropy reconstruction using derivative information. {II}. Computational results", journal = j-NUM-MATH, volume = "69", number = "3", pages = "243--256", month = jan, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (65U05)", MRnumber = "96h:65080", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069003/50690243.htm; http://science.springer.de/nmee/bibs/5069003/50690243.htm", acknowledgement = ack-nhfb, classification = "B6140 (Signal processing and detection); C1250 (Pattern recognition)", corpsource = "Centre for Exp. and Constructive Math., Simon Fraser Univ., Burnaby, BC, Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "applied physical sciences; computational results; density; derivative information; derivative values; engineering; information measures; maximum entropy density estimation; maximum entropy inversion program; maximum entropy methods; maximum entropy reconstruction; unknown density function", treatment = "T Theoretical or Mathematical", } @Article{deLaBourdonnaye:1995:SFC, author = "Armel {de La Bourdonnaye}", title = "Some formulations coupling finite element and integral equation methods for {Helmholtz} equation and electromagnetism", journal = j-NUM-MATH, volume = "69", number = "3", pages = "257--268", month = jan, year = "1995", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050091", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "45L10 (65R20 78-08)", MRnumber = "95m:45009", MRreviewer = "Charles W. Groetsch", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069003/50690257.htm; http://science.springer.de/nmee/bibs/5069003/50690257.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); B0290T (Finite element analysis); B5100 (Electric and magnetic fields); C4170 (Differential equations); C4180 (Integral equations); C4185 (Finite element analysis); C7410 (Electrical engineering computing)", corpsource = "CERMICS-INRIA, Sophia-Antipolis, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "acoustics; convergence speed; electrical engineering computing; electromagnetism; finite element analysis; finite element methods; frequency domain; Helmholtz equation; Helmholtz equations; integral equation; integral equation methods; integral equations; integral operators; multidomain problems; scattering theory; Schur complement technique", treatment = "T Theoretical or Mathematical", } @Article{Giunta:1995:ABT, author = "G. Giunta and A. Murli and G. Schmid", title = "An analysis of bilinear transform polynomial methods of inversion of {Laplace} transforms", journal = j-NUM-MATH, volume = "69", number = "3", pages = "269--282", month = jan, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R10 (44A10)", MRnumber = "96b:65123", MRreviewer = "B. P. Parashar", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069003/50690269.htm; http://science.springer.de/nmee/bibs/5069003/50690269.htm", acknowledgement = ack-nhfb, classification = "C1130 (Integral transforms); C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Istituto di Matematica, Istituto Univ. Navale, Napoli, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bilinear transform polynomial methods; conditioning properties; convergence; convergence of numerical methods; interpolation; Lagrange interpolation; Laplace transform inversion; Laplace transforms; numerical inversion; polynomials; special bilinear transformation", treatment = "T Theoretical or Mathematical", } @Article{Li:1995:EAP, author = "T. Y. Li and Noah H. Rhee and Zhong Gang Zeng", title = "An efficient and accurate parallel algorithm for the singular value problem of bidiagonal matrices", journal = j-NUM-MATH, volume = "69", number = "3", pages = "283--301", month = jan, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65Y05)", MRnumber = "96h:65049", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069003/50690283.htm; http://science.springer.de/nmee/bibs/5069003/50690283.htm", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240P (Parallel programming and algorithm theory); C6110P (Parallel programming)", corpsource = "Dept. of Math., Michigan State Univ., East Lansing, MI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "accurate parallel algorithm; bidiagonal matrices; divide and conquer methods; divide-and-conquer techniques; error analysis; hybrid strategy; Laguerre iteration; numerical results; parallel algorithms; partial singular values; QR algorithm; serial mode; singular value decomposition; singular value problem", treatment = "T Theoretical or Mathematical", } @Article{Marletta:1995:LSL, author = "Marco Marletta and John D. Pryce", title = "{LCNO Sturm--Liouville} problems: computational difficulties and examples", journal = j-NUM-MATH, volume = "69", number = "3", pages = "303--320", month = jan, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L70 (34B24)", MRnumber = "95m:65139", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069003/50690303.htm; http://science.springer.de/nmee/bibs/5069003/50690303.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Leicester Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary conditions; computational difficulties; convergence; convergence of numerical methods; error bound; limit circle; non-oscillatory; oscillatory; SLEIGN2; Sturm--Liouville equation; Sturm--Liouville problems; truncated approximations", treatment = "T Theoretical or Mathematical", } @Article{Messaoudi:1995:SIF, author = "A. Messaoudi", title = "On the stability of the incomplete {$LU$-factorizations} and characterizations of {$H$}-matrices", journal = j-NUM-MATH, volume = "69", number = "3", pages = "321--331", month = jan, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "96b:65032", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069003/50690321.htm; http://science.springer.de/nmee/bibs/5069003/50690321.htm", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Lab. d'Anal. Num{\'e}rique et d'Optimisation, Univ. des Sci. et Tech. de Lille Flandres Artois, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "characterizations; comparison matrix; H-matrices; incomplete LU-factorization; LU-factorizations; M-matrices; matrix algebra; numerical stability; stability", treatment = "T Theoretical or Mathematical", } @Article{Olsen:1995:BSC, author = "Elwood T. Olsen and Jim {Douglas, Jr.}", title = "Bounds on spectral condition numbers of matrices arising in the $p$-version of the finite element method", journal = j-NUM-MATH, volume = "69", number = "3", pages = "333--352", month = jan, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65F35 73V05)", MRnumber = "95j:65142", MRreviewer = "N. Gass", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069003/50690333.htm; http://science.springer.de/nmee/bibs/5069003/50690333.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Petkovic:1995:WFZ, author = "Miodrag S. Petkovi{\'c} and Carsten Carstensen and Miroslav Trajkovi{\'c}", title = "{Weierstrass} formula and zero-finding methods", journal = j-NUM-MATH, volume = "69", number = "3", pages = "353--372", month = jan, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05", MRnumber = "96j:65047", MRreviewer = "T. L. Freeman", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069003/50690353.htm; http://science.springer.de/nmee/bibs/5069003/50690353.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fac. of Electron. Eng., Ni{\v{s}} Univ., Serbia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic functions; convergence; convergence of numerical methods; iterative methods; poles and zeros; polynomial zeros; polynomials; Weierstrass formula; zero-finding; zeros", treatment = "T Theoretical or Mathematical", } @Article{Sun:1995:WCC, author = "Ji-guang Sun", title = "On worst-case condition numbers of a nondefective multiple eigenvalue", journal = j-NUM-MATH, volume = "69", number = "3", pages = "373--382", month = jan, year = "1995", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050098", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (65F15)", MRnumber = "95k:65046", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069003/50690373.htm; http://science.springer.de/nmee/bibs/5069003/50690373.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Campbell:1995:CPI, author = "Stephen L. Campbell and Edward Moore", title = "Constraint preserving integrators for general nonlinear higher index {DAEs}", journal = j-NUM-MATH, volume = "69", number = "4", pages = "383--399", month = feb, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10 (34A09 34A45)", MRnumber = "96g:65072", MRreviewer = "Martin Hermann", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069004/50690383.htm; http://science.springer.de/nmee/bibs/5069004/50690383.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Coomes:1995:RCS, author = "Brian A. Coomes and H{\"u}seyin Ko{\c{c}}ak and Kenneth J. Palmer", title = "Rigorous Computational Shadowing of Orbits of Ordinary Differential Equations", journal = j-NUM-MATH, volume = "69", number = "4", pages = "401--421", month = feb, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "34A45 (34C99 58F13 65L99)", MRnumber = "96g:34014", MRreviewer = "Julyan Cartwright", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069004/50690401.htm; http://science.springer.de/nmee/bibs/5069004/50690401.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Feichtinger:1995:ENM, author = "Hans G. Feichtinger and Karlheinz Gr{\"o}chenig and Thomas Strohmer", title = "Efficient numerical methods in non-uniform sampling theory", journal = j-NUM-MATH, volume = "69", number = "4", pages = "423--440", month = feb, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15 (42A10 65F10 94A12)", MRnumber = "95j:65011", MRreviewer = "A. Bultheel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069004/50690423.htm; http://science.springer.de/nmee/bibs/5069004/50690423.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B6140 (Signal processing and detection); C1260 (Information theory); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Wien Univ., Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive weights method; bandlimited function; conjugate gradient methods; conjugate gradients; extrapolation; extrapolation method; irregular sampling; nonuniform sampling theory; numerical methods; preconditioning; reconstruction algorithm; signal processing; statistical analysis; system matrix; Toeplitz-type structure", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Lions:1995:CMF, author = "P.-L. Lions and P. E. Souganidis", title = "Convergence of {MUSCL} and filtered schemes for scalar conservation laws and {Hamilton--Jacobi} equations", journal = j-NUM-MATH, volume = "69", number = "4", pages = "441--470", month = feb, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12 (35L65 65M06)", MRnumber = "96h:65112", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069004/50690441.htm; http://science.springer.de/nmee/bibs/5069004/50690441.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Mejia:1995:PCC, author = "Diego Mej{\'i}a and Stephan Ruscheweyh and Luis C. Salinas", title = "Polynomials on the {Cauchy} circle", journal = j-NUM-MATH, volume = "69", number = "4", pages = "471--481", month = feb, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65E05 (30C15)", MRnumber = "95m:65044", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069004/50690471.htm; http://science.springer.de/nmee/bibs/5069004/50690471.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Melman:1995:NSS, author = "A. Melman", title = "Numerical solution of a secular equation", journal = j-NUM-MATH, volume = "69", number = "4", pages = "483--493", month = feb, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05 (65F15 65H17)", MRnumber = "95j:65050", MRreviewer = "I. Norman Katz", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069004/50690483.htm; http://science.springer.de/nmee/bibs/5069004/50690483.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Ind. Eng. and Manage., Ben-Gurion Univ. of the Negev, Beer-Sheva, Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "eigenvalues and eigenfunctions; modified symmetric eigenvalue problems; Newton method; Newton's method; numerical results; numerical solution; polynomials; root-finding methods; secant method; secular equation", treatment = "T Theoretical or Mathematical", } @Article{Schneider:1995:CRM, author = "Stefan Schneider", title = "Convergence results for multistep {Runge--Kutta} methods on stiff mechanical systems", journal = j-NUM-MATH, volume = "69", number = "4", pages = "495--508", month = feb, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (34A05 34A45 70-08 73V20)", MRnumber = "95k:65068", MRreviewer = "Alexander Ostermann", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069004/50690495.htm; http://science.springer.de/nmee/bibs/5069004/50690495.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. de Math., Geneva Univ., Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence results; differential equations; general linear methods; multistep Runge--Kutta methods; Runge--Kutta methods; stiff mechanical systems", treatment = "T Theoretical or Mathematical", } @Article{Zhang:1995:LRF, author = "Zhimin Zhang", title = "Locking and robustness in the finite element method for circular arch problem", journal = j-NUM-MATH, volume = "69", number = "4", pages = "509--522", month = feb, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K05 73V05)", MRnumber = "96b:65114", MRreviewer = "I. N. Molchanov", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5069004/50690509.htm; http://science.springer.de/nmee/bibs/5069004/50690509.htm", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290T (Finite element analysis); C1180 (Optimisation techniques); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Texas Tech. Univ., Lubbock, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$h$-version; $p$-version; circular arch problem; finite element analysis; finite element method; locking; optimal rate of convergence; quadratic element; robustness; standard displacement formulation; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Elschner:1995:OOC, author = "J. Elschner and I. G. Graham", title = "An optimal order collocation method for first kind boundary integral equations on polygons", journal = j-NUM-MATH, volume = "70", number = "1", pages = "1--31", month = mar, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (47N20 47N40)", MRnumber = "95m:65215", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070001/50700001.htm; http://science.springer.de/nmee/bibs/5070001/50700001.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C1320 (Stability in control theory); C4130 (Interpolation and function approximation); C4180 (Integral equations); C4190 (Other numerical methods); C4260 (Computational geometry)", corpsource = "Weierstrass-Institut f{\"u}r Angewandte Anal. und Stochastik, Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary integral equations; boundary-value problems; closed polygonal boundaries; computational geometry; discretization; first kind boundary integral equations; logarithmic kernels; Mellin convolution operators; nonlinear parametrization; numerical solutions; optimal order collocation method; polygons; Sobolev spaces; splines; splines (mathematics); stability; superconvergent approximations; transformed equation", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Ennenbach:1995:IFM, author = "R. Ennenbach", title = "The inclusion of free membrane eigenvalues", journal = j-NUM-MATH, volume = "70", number = "1", pages = "33--44", month = mar, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N25 (35P15)", MRnumber = "95k:65100", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070001/50700033.htm; http://science.springer.de/nmee/bibs/5070001/50700033.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hiriart-Urruty:1995:SAA, author = "J.-B. Hiriart-Urruty and D. Ye", title = "Sensitivity analysis of all eigenvalues of a symmetric matrix", journal = j-NUM-MATH, volume = "70", number = "1", pages = "45--72", month = mar, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A18 (49J52 65F15)", MRnumber = "96b:15024", MRreviewer = "Alberto Seeger", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070001/50700045.htm; http://science.springer.de/nmee/bibs/5070001/50700045.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Jbilou:1995:ASV, author = "K. Jbilou and H. Sadok", title = "Analysis of some vector extrapolation methods for solving systems of linear equations", journal = j-NUM-MATH, volume = "70", number = "1", pages = "73--89", month = mar, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (15A06 65F50)", MRnumber = "95m:65053", MRreviewer = "L. W. Ehrlich", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070001/50700073.htm; http://science.springer.de/nmee/bibs/5070001/50700073.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Lab. d'Analyse Num{\'e}rique et d'Optimisation, Univ. des Sci. et Tech. de Lille Flandres Artois, Villeneuve d'Ascq, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "extrapolation; GCR; GMRES; incomplete forms; Krylov subspaces methods; linear equations systems; matrix algebra; minimal polynomial extrapolation; nonsingular skew symmetric matrices; reduced rank extrapolation; residual norms; vector extrapolation methods", treatment = "T Theoretical or Mathematical", } @Article{Knowles:1995:VMN, author = "Ian Knowles and Robert Wallace", title = "A variational method for numerical differentiation", journal = j-NUM-MATH, volume = "70", number = "1", pages = "91--110", month = mar, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D25 (49M10)", MRnumber = "96h:65031", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070001/50700091.htm; http://science.springer.de/nmee/bibs/5070001/50700091.htm", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290M (Numerical integration and differentiation); C1180 (Optimisation techniques); C1320 (Stability in control theory); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Alabama Univ., Birmingham, AL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence results; differentiation; noisy functions; numerical differentiation; numerical stability; optimisation; optimization procedure; stability; steepest descent implementation; variational method; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Nievergelt:1995:BHE, author = "Yves Nievergelt", title = "Bisection hardly ever converges linearly", journal = j-NUM-MATH, volume = "70", number = "1", pages = "111--118", month = mar, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H05 (11K16)", MRnumber = "95k:65055", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070001/50700111.htm; http://science.springer.de/nmee/bibs/5070001/50700111.htm", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4260 (Computational geometry)", corpsource = "Dept. of Math., Eastern Washington Univ., Cheney, WA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bisection method; Borel's normal real numbers; computational geometry; diadic number; finite sequence of estimates; order of convergence; real functions", treatment = "T Theoretical or Mathematical", } @Article{Stengle:1995:EAR, author = "Gilbert Stengle", title = "Error analysis of a randomized numerical method", journal = j-NUM-MATH, volume = "70", number = "1", pages = "119--128", month = mar, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65C05 (65L70)", MRnumber = "95m:65008", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070001/50700119.htm; http://science.springer.de/nmee/bibs/5070001/50700119.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Lehigh Univ., Bethlehem, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; error bounds; finite dimensional system; initial value problem; initial value problems; random estimator; randomised algorithms; randomized algorithm; randomized numerical method; Runge--Kutta family; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Gohner:1995:SOF, author = "U. G{\"o}hner and G. Warnecke", title = "A second order finite difference error indicator for adaptive transonic flow computations", journal = j-NUM-MATH, volume = "70", number = "2", pages = "129--161", month = apr, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76M20 (65N06 76H05)", MRnumber = "96d:76065", MRreviewer = "Michael J. O'Carroll", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070002/50700129.htm; http://science.springer.de/nmee/bibs/5070002/50700129.htm", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A4740H (Transonic flows); C4170 (Differential equations); C4185 (Finite element analysis); C7320 (Physics and chemistry computing)", corpsource = "Math. Inst., Stuttgart Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adaptive finite element method; adaptive transonic flow computations; finite difference methods; finite element analysis; first order finite differences; gradients; local error estimator; mesh refinement; physics computing; second order distributional derivatives; second order finite difference error indicator; transonic flow; transonic potential flows", treatment = "T Theoretical or Mathematical", } @Article{Griebel:1995:ATA, author = "M. Griebel and P. Oswald", title = "On the abstract theory of additive and multiplicative {Schwarz} algorithms", journal = j-NUM-MATH, volume = "70", number = "2", pages = "163--180", month = apr, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65F10)", MRnumber = "96a:65164", MRreviewer = "S. Galanis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070002/50700163.htm; http://science.springer.de/nmee/bibs/5070002/50700163.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Inf., Tech. Univ. M{\"u}nchen, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "abstract convergence theory; abstract theory; convergence of numerical methods; convergence proofs; domain decomposition methods; iterative algorithms; iterative methods; matrix algebra; multiplicative Schwarz algorithms; PDE discretization; subspace correction methods; traditional block matrix situation; traditional iteration methods", treatment = "T Theoretical or Mathematical", } @Article{Gutknecht:1995:LAL, author = "Martin H. Gutknecht and Marlis Hochbruck", title = "Look-ahead {Levinson} and {Schur} algorithms for {non-Hermitian Toeplitz} systems", journal = j-NUM-MATH, volume = "70", number = "2", pages = "181--227", month = apr, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F30 (42A70 60G25)", MRnumber = "95m:65076", MRreviewer = "Marc Van Barel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070002/50700181.htm; http://science.springer.de/nmee/bibs/5070002/50700181.htm", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240C (Computational complexity)", corpsource = "Interdisciplinary Project Center for Supercomput., Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational complexity; ill conditioned leading principal submatrices; leading principal submatrices; linear systems; look ahead step size; look-ahead Levinson algorithm; non-Hermitian Toeplitz systems; nonsymmetric algorithms; recursive doubling; Schur algorithms; Toeplitz matrices; Toeplitz matrix", treatment = "T Theoretical or Mathematical", } @Article{Laghchim-Lahlou:1995:QFE, author = "M. Laghchim-Lahlou and P. Sablonni{\`e}re", title = "Quadrilateral finite elements of {FVS} type and class ${C}^\rho$", journal = j-NUM-MATH, volume = "70", number = "2", pages = "229--243", month = apr, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D05 (41A63 65N30)", MRnumber = "96e:65006", MRreviewer = "Jie Tian", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070002/50700229.htm; http://science.springer.de/nmee/bibs/5070002/50700229.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4185 (Finite element analysis)", corpsource = "Inst. Nacional des Sci. Appliqu{\'e}es, Rennes, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "composite quadrilateral finite element; finite element analysis; FVS type; interpolation; interpolation schemes; piecewise polynomial functions; planar polygonal domain; polynomial degrees; polynomials; quadrilateral finite elements; smooth function; subtriangulation", treatment = "T Theoretical or Mathematical", } @Article{Nipp:1995:IMG, author = "K. Nipp and D. Stoffer", title = "Invariant manifolds and global error estimates of numerical integration schemes applied to stiff systems of singular perturbation type. {I}. {RK}-methods", journal = j-NUM-MATH, volume = "70", number = "2", pages = "245--257", month = apr, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (34A45 34E15)", MRnumber = "96a:65107", MRreviewer = "Janusz Mika", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070002/50700245.htm; http://science.springer.de/nmee/bibs/5070002/50700245.htm", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Math., Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "discrete systems; geometric properties; global error; global error estimates; implicit RK-methods; integration; invariant manifolds; numerical integration schemes; ODEs; RK solutions; Runge--Kutta methods; singular perturbation type; singularly perturbed systems; stiff systems", treatment = "T Theoretical or Mathematical", } @Article{Chipot:1995:NAO, author = "M. Chipot and C. Collins and D. Kinderlehrer", title = "Numerical analysis of oscillations in multiple well problems", journal = j-NUM-MATH, volume = "70", number = "3", pages = "259--282", month = may, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (49M30 65K05 73C50 73V25)", MRnumber = "96e:65067", MRreviewer = "Anna-Margarete S{\"a}ndig", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070003/50700259.htm; http://science.springer.de/nmee/bibs/5070003/50700259.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A7340L (Semiconductor-to-semiconductor contacts, $p$-$n$ junctions, and heterojunctions); B0260 (Optimisation techniques); B0290T (Finite element analysis); B2530C (Semiconductor superlattices, quantum wells and related structures)", corpsource = "Dept. de Math., Metz Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; continuous problem; crystals; energy density; energy minimizing sequences; finite element analysis; minimisation; multiple potential wells; nonconvex variational problems; numerical analysis; ordered materials; oscillations; piecewise linear finite elements; piecewise-linear techniques; semiconductor quantum wells", treatment = "T Theoretical or Mathematical", } @Article{Chui:1995:FIW, author = "C. K. Chui and J. C. Goswami and A. K. Chan", title = "Fast integral wavelet transform on a dense set of the time-scale domain", journal = j-NUM-MATH, volume = "70", number = "3", pages = "283--302", month = may, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R10 (42C15 65T20 65Y20)", MRnumber = "96d:65205", MRreviewer = "A. J. Rodrigues", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070003/50700283.htm; http://science.springer.de/nmee/bibs/5070003/50700283.htm", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B1270 (Filters and other networks); C1130 (Integral transforms); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4240C (Computational complexity); C5240 (Digital filters)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "biorthogonal wavelet; cardinal spline functions; compactly supported spline-wavelet; computational complexity; dense point set; direct numerical integration; duality; duality (mathematics); exact FIR filters; fast Fourier transform; fast integral wavelet transform; FFT-based multi-voice per octave scheme; FIR filters; integration; interpolation; local optimal-order spline interpolation scheme; moving average operations; multiresolution analysis; parallel implementation; scale parameter values; semi-orthogonal spline-wavelets; splines (mathematics); time-domain analysis; time-scale domain; wavelet transforms; zero moments", treatment = "T Theoretical or Mathematical", } @Article{Govaerts:1995:CBM, author = "Willy Govaerts and Bodo Werner", title = "Continuous bordering of matrices and continuous matrix decompositions", journal = j-NUM-MATH, volume = "70", number = "3", pages = "303--310", month = may, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A18 (15A23 65F30)", MRnumber = "96c:15010", MRreviewer = "Dao Sheng Zheng", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070003/50700303.htm; http://science.springer.de/nmee/bibs/5070003/50700303.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Moller:1995:MPE, author = "H. Michael M{\"o}ller and Hans J. Stetter", title = "Multivariate polynomial equations with multiple zeros solved by matrix eigenproblems", journal = j-NUM-MATH, volume = "70", number = "3", pages = "311--329", month = may, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H17 (12D10 30C15)", MRnumber = "96e:65034", MRreviewer = "Miodrag Petkovi{\'c}", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070003/50700311.htm; http://science.springer.de/nmee/bibs/5070003/50700311.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Riemenschneider:1995:GIL, author = "Sherman D. Riemenschneider and Zuowei Shen", title = "General interpolation on the lattice $h{\bf Z}^s$: compactly supported fundamental solutions", journal = j-NUM-MATH, volume = "70", number = "3", pages = "331--351", month = may, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15", MRnumber = "96f:41013", MRreviewer = "Charles K. Chui", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070003/50700331.htm; http://science.springer.de/nmee/bibs/5070003/50700331.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Seoane:1995:FDA, author = "M. L. Seoane", title = "Finite-dimensional approximation of two-parameter nonlinear problems", journal = j-NUM-MATH, volume = "70", number = "3", pages = "353--377", month = may, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (47H17 65N30)", MRnumber = "96d:65100", MRreviewer = "Fu Ming Ma", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070003/50700353.htm; http://science.springer.de/nmee/bibs/5070003/50700353.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. de Matematica Aplicada, Santiago de Compostela Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "1D Brussellator model; approximation theory; bifurcation; bifurcation parameter; convergence of numerical methods; finite dimensional approximation; functional nonlinear two-parameter problems; Galerkin approximation; Galerkin method; isola center; nonlinear equations; nonlinear variational posed problems; numerical approximation; orthogonal error; perturbation parameter superconvergence; perturbation techniques; perturbed bifurcation points", treatment = "T Theoretical or Mathematical", } @Article{Wells:1995:WSD, author = "Raymond O. {Wells, Jr.} and Xiaodong Zhou", title = "Wavelet solutions for the {Dirichlet} problem", journal = j-NUM-MATH, volume = "70", number = "3", pages = "379--396", month = may, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "96c:65185", MRreviewer = "Yves Achdou", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070003/50700379.htm; http://science.springer.de/nmee/bibs/5070003/50700379.htm", acknowledgement = ack-nhfb, classification = "B0230 (Integral transforms); B0290R (Integral equations); C1130 (Integral transforms); C4180 (Integral equations)", corpsource = "Rice Univ., Houston, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "basis orthonormality; boundary integral; boundary integral equations; boundary measure expansion; boundary-value problems; compact support; Dirichlet boundary value problem; fast approximate calculation; fictitious domain penalty method; irregular domains; numerical representation; wavelet solutions; wavelet transforms", treatment = "T Theoretical or Mathematical", } @Article{Berthold:1995:CCM, author = "D. Berthold and B. Silbermann", title = "Corrected collocation methods for periodic pseudodifferential equations", journal = j-NUM-MATH, volume = "70", number = "4", pages = "397--425", month = jun, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45E05 65N35)", MRnumber = "96e:65074", MRreviewer = "Gennady S. Mishuris", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070004/50700397.htm; http://science.springer.de/nmee/bibs/5070004/50700397.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Elliott:1995:AAS, author = "David Elliott and Siegfried Pr{\"o}ssdorf", title = "An algorithm for the approximate solution of integral equations of {Mellin} type", journal = j-NUM-MATH, volume = "70", number = "4", pages = "427--452", month = jun, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (45L05)", MRnumber = "96d:65206", MRreviewer = "P. Uba", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070004/50700427.htm; http://science.springer.de/nmee/bibs/5070004/50700427.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Fierro:1995:ATS, author = "Ricardo D. Fierro and Per Christian Hansen", title = "Accuracy of {TSVD} solutions computed from rank-revealing decompositions", journal = j-NUM-MATH, volume = "70", number = "4", pages = "453--471", month = jun, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "97a:65041", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070004/50700453.htm; http://science.springer.de/nmee/bibs/5070004/50700453.htm", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B6140 (Signal processing and detection); C1260 (Information theory); C4140 (Linear algebra)", corpsource = "Dept. of Math., California State Univ., San Marcos, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "linear equations; rank-revealing decompositions; signal processing; singular value decomposition; truncated SVD; TSVD solutions", treatment = "T Theoretical or Mathematical", } @Article{Liu:1995:SAM, author = "Yunkang Liu", title = "Stability analysis of $\theta$-methods for neutral functional-differential equations", journal = j-NUM-MATH, volume = "70", number = "4", pages = "473--485", month = jun, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20", MRnumber = "96d:65127", MRreviewer = "J. {\v{S}}vejda", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070004/50700473.htm; http://science.springer.de/nmee/bibs/5070004/50700473.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math. and Theor. Phys., Cambridge Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$\theta$-methods; convergent numerical solutions; delays; difference equations; dynamical behaviour; integral remainder; neutral equation; neutral functional-differential equations; numerical stability; stability analysis; Taylor expansion", treatment = "T Theoretical or Mathematical", } @Article{Sun:1995:AFO, author = "Guang Fu Sun and Martin Stynes", title = "An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem", journal = j-NUM-MATH, volume = "70", number = "4", pages = "487--500", month = jun, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L50 (34E15 65L10)", MRnumber = "96f:65104", MRreviewer = "Ram Krishan Sharma", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070004/50700487.htm; http://science.springer.de/nmee/bibs/5070004/50700487.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. Coll. Cork, Ireland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "almost fourth order uniformly convergent difference scheme; asymptotic properties; difference equations; local uniqueness; perturbation parameter; piecewise equidistant mesh; polynomial-based three-point difference scheme; semilinear singularly perturbed reaction-diffusion problem; Shishkin type; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Sun:1995:HOD, author = "W. Sun", title = "A high order direct method for solving {Poisson}'s equation in a disc", journal = j-NUM-MATH, volume = "70", number = "4", pages = "501--506", month = jun, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N35", MRnumber = "96b:65116", MRreviewer = "Satish C. Reddy", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070004/50700501.htm; http://science.springer.de/nmee/bibs/5070004/50700501.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ye:1995:CET, author = "Qiang Ye", title = "On close eigenvalues of tridiagonal matrices", journal = j-NUM-MATH, volume = "70", number = "4", pages = "507--514", month = jun, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (15A42)", MRnumber = "96d:65065", MRreviewer = "L. W. Ehrlich", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070004/50700507.htm; http://science.springer.de/nmee/bibs/5070004/50700507.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Yuan:1995:CNT, author = "Ya-xiang Yuan", title = "On the convergence of a new trust region algorithm", journal = j-NUM-MATH, volume = "70", number = "4", pages = "515--539", month = jun, year = "1995", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050133", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C30 (65K05)", MRnumber = "96d:90096", MRreviewer = "John J. Dinkel", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070004/50700515.htm; http://science.springer.de/nmee/bibs/5070004/50700515.htm", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Comput. Center, Acad. Sinica, Beijing, China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; general nonlinear constrained optimization; L/sub infinity / exact penalty function; Lagrange multipliers; nonlinear programming; penalty parameter; quadratic programming; sequential quadratic programming method; SQP method; trust region algorithm", treatment = "T Theoretical or Mathematical", } @Article{Chen:1995:AFE, author = "Zhangxin Chen and Bernardo Cockburn", title = "Analysis of a finite element method for the drift-diffusion semiconductor device equations: The multidimensional case", journal = j-NUM-MATH, volume = "71", number = "1", pages = "1--28", month = jul, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35L60)", MRnumber = "96a:65163", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071001/50710001.htm; http://science.springer.de/nmee/bibs/5071001/50710001.htm", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); B2560B (Semiconductor device modelling and equivalent circuits); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "drift-diffusion semiconductor device equations; electric field; electric fields; electron concentrations; finite element analysis; finite element method; hole concentrations; multidimensional case; numerical analysis; numerical simulations; semiconductor device models", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Layton:1995:PAM, author = "William J. Layton and Joseph M. Maubach and Patrick J. Rabier", title = "Parallel algorithms for maximal monotone operators of local type", journal = j-NUM-MATH, volume = "71", number = "1", pages = "29--58", month = jul, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J15 (65N30)", MRnumber = "96e:65041", MRreviewer = "De Ren Wang", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071001/50710029.htm; http://science.springer.de/nmee/bibs/5071001/50710029.htm", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); C4185 (Finite element analysis); C4240P (Parallel programming and algorithm theory)", corpsource = "Dept. of Math. and Stat., Pittsburgh Univ., PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constraints; differential operator; finite element analysis; finite element problems; local type; maximal monotone operators; multi-valued maximal monotone operators; nonlinearities; parallel algorithms", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Lee:1995:RCB, author = "Chang-Ock Lee and Seymour V. Parter", title = "On the rate of convergence of the $k\times k$ block, $k$-line iterative methods: $k\to\infty$", journal = j-NUM-MATH, volume = "71", number = "1", pages = "59--90", month = jul, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N22 (65F10)", MRnumber = "96d:65180", MRreviewer = "Alan L. Andrew", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071001/50710059.htm; http://science.springer.de/nmee/bibs/5071001/50710059.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Wisconsin Univ., Madison, WI, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; Dirichlet problem; domain decomposition methods; eigenvalues; elliptic difference equations; finite difference discretization; fixed finite integer; iterative methods; k-line iterative methods; Poisson's equation; rate of convergence; unit square", treatment = "T Theoretical or Mathematical", } @Article{Nurnberger:1995:BSI, author = "G. N{\"u}rnberger and Th. Riessinger", title = "Bivariate spline interpolation at grid points", journal = j-NUM-MATH, volume = "71", number = "1", pages = "91--119", month = jul, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A63 (41A15 65D17)", MRnumber = "96e:41037", MRreviewer = "Peter Alfeld", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071001/50710091.htm; http://science.springer.de/nmee/bibs/5071001/50710091.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wathen:1995:CRM, author = "Andrew Wathen and Bernd Fischer and David Silvester", title = "The convergence rate of the minimal residual method for the {Stokes} problem", journal = j-NUM-MATH, volume = "71", number = "1", pages = "121--134", month = jul, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N22 76D07 76M25)", MRnumber = "96d:65059", MRreviewer = "Tsorng-Whay Pan", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071001/50710121.htm; http://science.springer.de/nmee/bibs/5071001/50710121.htm", acknowledgement = ack-nhfb, classification = "A0340G (Fluid dynamics: general mathematical aspects); A4710 (General fluid dynamics theory, simulation and other computational methods); B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Bristol Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "analytic convergence estimate; conjugate residual; convergence estimates; convergence rate; eigenvalues; eigenvalues and eigenfunctions; fluid dynamics; inclusion set; matrix algebra; mesh size parameter; minimal residual method; minimax polynomial approximations; minimum residual iterative solution; Stokes problem; symmetric indefinite matrices", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Barrett:1995:FEA, author = "John W. Barrett and Patrick A. Wood", title = "The finite element approximation of a coupled reaction-diffusion problem with {non-Lipschitz} nonlinearities", journal = j-NUM-MATH, volume = "71", number = "2", pages = "135--157", month = aug, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "96h:65131", MRreviewer = "Beny Neta", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071002/50710135.htm; http://science.springer.de/nmee/bibs/5071002/50710135.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gautschi:1995:COP, author = "Walter Gautschi and Minda Zhang", title = "Computing orthogonal polynomials in {Sobolev} spaces", journal = j-NUM-MATH, volume = "71", number = "2", pages = "159--183", month = aug, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15", MRnumber = "96g:65017", MRreviewer = "John B. Kioustelidis", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071002/50710159.htm; http://science.springer.de/nmee/bibs/5071002/50710159.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Halpern:1995:ABC, author = "L. Halpern and J. Rauch", title = "Absorbing boundary conditions for diffusion equations", journal = j-NUM-MATH, volume = "71", number = "2", pages = "185--224", month = aug, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N99 (65M99 65P05)", MRnumber = "96h:65152", MRreviewer = "J. D. P. Donnelly", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071002/50710185.htm; http://science.springer.de/nmee/bibs/5071002/50710185.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Marini:1995:MFE, author = "Donatella Marini and Paola Pietra", title = "Mixed finite element approximation of a degenerate elliptic problem", journal = j-NUM-MATH, volume = "71", number = "2", pages = "225--236", month = aug, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "96f:65155", MRreviewer = "Bernd Heinrich", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071002/50710225.htm; http://science.springer.de/nmee/bibs/5071002/50710225.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schmidt:1995:ASM, author = "Jochen W. Schmidt and Walter He{\ss}", title = "An always successful method in univariate convex ${C}^2$ interpolation", journal = j-NUM-MATH, volume = "71", number = "2", pages = "237--252", month = aug, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Dxx", MRnumber = "1 347 166", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071002/50710237.htm; http://science.springer.de/nmee/bibs/5071002/50710237.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Vanmaele:1995:CEN, author = "Mich{\`e}le Vanmaele and Alexander {\v{Z}}en{\'i}{\v{s}}ek", title = "The combined effect of numerical integration and approximation of the boundary in the finite element method for eigenvalue problems", journal = j-NUM-MATH, volume = "71", number = "2", pages = "253--273", month = aug, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N25 (65N30)", MRnumber = "96j:65112", MRreviewer = "I. P. Gavrilyuk", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071002/50710253.htm; http://science.springer.de/nmee/bibs/5071002/50710253.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Homeier:1995:DRJ, author = "Herbert H. H. Homeier", title = "Determinantal representations for the $\cal {J}$ transformation", journal = j-NUM-MATH, volume = "71", number = "3", pages = "275--288", month = sep, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B10", MRnumber = "96f:65009", MRreviewer = "S. Hitotumatu", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071003/50710275.htm; http://science.springer.de/nmee/bibs/5071003/50710275.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hou:1995:AFE, author = "L. Steven Hou and James C. Turner", title = "Analysis and finite element approximation of an optimal control problem in electrochemistry with current density controls", journal = j-NUM-MATH, volume = "71", number = "3", pages = "289--315", month = sep, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49J20 (49N55 65K10 92E20)", MRnumber = "96h:49009", MRreviewer = "Francesco Zirilli", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071003/50710289.htm; http://science.springer.de/nmee/bibs/5071003/50710289.htm", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C1330 (Optimal control); C3110D (Current control); C3120P (Chemical variables control); C4185 (Finite element analysis)", corpsource = "Dept. of Math. and Stat., York Univ., North York, Ont., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "anode; chemical engineering control; chemical variables control; chemistry computing; electric current control; electric current density control; electrochemistry; finite element algorithm; finite element analysis; finite element approximation; governing partial differential equation; impressed cathodic system; matching objective functional; necessary condition; nonlinear boundary condition; optimal control; optimal control problem; optimal error estimate; optimal solution; optimality; solution uniqueness", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Li:1995:NMC, author = "Zhiping Li", title = "A numerical method for computing singular minimizers", journal = j-NUM-MATH, volume = "71", number = "3", pages = "317--330", month = sep, year = "1995", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050147", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49J05 (49M05 65K10)", MRnumber = "96d:49004", MRreviewer = "John Gregory", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071003/50710317.htm; http://science.springer.de/nmee/bibs/5071003/50710317.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Morton:1995:EGM, author = "K. W. Morton and E. S{\"u}li", title = "{Evolution-Galerkin} methods and their supraconvergence", journal = j-NUM-MATH, volume = "71", number = "3", pages = "331--355", month = sep, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (35K55)", MRnumber = "96f:65137", MRreviewer = "Wojciech Mydlarczyk", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071003/50710331.htm; http://science.springer.de/nmee/bibs/5071003/50710331.htm", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods); A4725Q (Convection and heat transfer)C7320 (Physics and chemistry computing); C1120 (Mathematical analysis); C4170 (Differential equations)", corpsource = "Comput. Lab., Oxford Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation space; basic error estimate; characteristic-Galerkin; convection; convergence; convergence of numerical methods; evolution operator; evolution-Galerkin method; flow simulation; fluid dynamics; Galerkin method; Lagrange--Galerkin method; multidimensional convection problem; partial differential equations; physics computing; recovery technique; supraconvergence", treatment = "T Theoretical or Mathematical", } @Article{Peherstorfer:1995:ORP, author = "Franz Peherstorfer", title = "Orthogonality of residual polynomials used in minimax polynomial preconditioning", journal = j-NUM-MATH, volume = "71", number = "3", pages = "357--363", month = sep, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10", MRnumber = "96h:65081", MRreviewer = "John B. Kioustelidis", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071003/50710357.htm; http://science.springer.de/nmee/bibs/5071003/50710357.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Reusken:1995:FAR, author = "Arnold Reusken", title = "{Fourier} analysis of a robust multigrid method for convection-diffusion equations", journal = j-NUM-MATH, volume = "71", number = "3", pages = "365--397", month = sep, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N22 (65N55)", MRnumber = "96d:65181", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071003/50710365.htm; http://science.springer.de/nmee/bibs/5071003/50710365.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General fluid dynamics theory, simulation and other computational methods); A4725J (Turbulent diffusion); A4725Q (Convection and heat transfer); C4185 (Finite element analysis); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Math. and Comput. Sci., Eindhoven Univ. of Technol., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; coarse grid correction; constant coefficient; convection; convection-diffusion equations; diffusion; finite element analysis; flow direction; flow simulation; Fourier analysis; mesh size; modified fine grid equations; multigrid W-cycle; numerical method; periodic boundary conditions; physics computing; preconditioner; robust multigrid method; robustness; Schur complement; spectral radius; turbulent diffusion; two dimensional problem; two-grid iteration matrix; two-grid method", treatment = "T Theoretical or Mathematical", } @Article{Zenisek:1995:MAC, author = "Alexander {\v{Z}}en{\'i}{\v{s}}ek", title = "The maximum angle condition in the finite element method for monotone problems with applications in magnetostatics", journal = j-NUM-MATH, volume = "71", number = "3", pages = "399--417", month = sep, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (78-08 78A55)", MRnumber = "96i:65103", MRreviewer = "Leonid Yasnitsky", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071003/50710399.htm; http://science.springer.de/nmee/bibs/5071003/50710399.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4110D (Electrostatics, magnetostatics); C4185 (Finite element analysis); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Math., Tech. Univ., Brno, Czech Republic", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "closed domain boundary; convergence; convergence of numerical methods; discontinuous coefficients; elliptic equation; finite element analysis; finite element method; linear trial functions; magnetism; magnetostatics; maximum angle condition; Maxwell's equations; monotone problem; narrow subdomain; physics computing; static magnetic field; subtriangulation; triangulation", treatment = "T Theoretical or Mathematical", } @Article{Achdou:1995:SPM, author = "Y. Achdou and Yu. A. Kuznetsov and O. Pironneau", title = "Substructuring preconditioners for the ${Q}_1$ mortar element method", journal = j-NUM-MATH, volume = "71", number = "4", pages = "419--449", month = oct, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65F10 65F35 65N35 76M10)", MRnumber = "97b:65126", MRreviewer = "Muthusamy Vanninathan", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071004/50710419.htm; http://science.springer.de/nmee/bibs/5071004/50710419.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kang:1995:VPA, author = "Feng Kang and Zai-jiu Shang", title = "Volume-preserving algorithms for source-free dynamical systems", journal = j-NUM-MATH, volume = "71", number = "4", pages = "451--463", month = oct, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (34A45 65P05 70-08 70H05)", MRnumber = "96g:65065", MRreviewer = "N. Gass", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071004/50710451.htm; http://science.springer.de/nmee/bibs/5071004/50710451.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ghaddar:1995:APD, author = "Chahid Ghaddar and Yvon Maday and Anthony T. Patera", title = "Analysis of a part design procedure", journal = j-NUM-MATH, volume = "71", number = "4", pages = "465--510", month = oct, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73K40 (49Q10 73V20 73V25)", MRnumber = "96g:73044", MRreviewer = "Pekka Neittaanm{\"a}ki", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071004/50710465.htm; http://science.springer.de/nmee/bibs/5071004/50710465.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gottlieb:1995:GPV, author = "David Gottlieb and Chi-Wang Shu", title = "On the {Gibbs} phenomenon. {V}. Recovering exponential accuracy from collocation point values of a piecewise analytic function", journal = j-NUM-MATH, volume = "71", number = "4", pages = "511--526", month = oct, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "42A10 (33C90 41A10 42A16 65D15)", MRnumber = "97b:42005", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071004/50710511.htm; http://science.springer.de/nmee/bibs/5071004/50710511.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kroner:1995:CHO, author = "Dietmar Kr{\"o}ner and Sebastian Noelle and Mirko Rokyta", title = "Convergence of higher order upwind finite volume schemes on unstructured grids for scalar conservation laws in several space dimensions", journal = j-NUM-MATH, volume = "71", number = "4", pages = "527--560", month = oct, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12 (35L65 65M60 76M10 76N15)", MRnumber = "96j:65087", MRreviewer = "Hideo Yamagata", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071004/50710527.htm; http://science.springer.de/nmee/bibs/5071004/50710527.htm", acknowledgement = ack-nhfb, classification = "C1120 (Mathematical analysis); C4100 (Numerical analysis)", corpsource = "Freiburg Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conservation laws; convergence of numerical methods; convergence proving; discontinuous Galerkin method; Galerkin method; higher order upwind finite volume schemes; scalar conservation laws; several space dimensions; space dimensions; unstructured grids", treatment = "T Theoretical or Mathematical", } @Article{Barrett:1995:EBF, author = "John W. Barrett and James F. Blowey", title = "An error bound for the finite element approximation of the {Cahn--Hilliard} equation with logarithmic free energy", journal = j-NUM-MATH, volume = "72", number = "1", pages = "1--20", month = nov, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (35K55 35Q35 65M15)", MRnumber = "96h:65118", MRreviewer = "Bruno Scheurer", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072001/50720001.htm; http://science.springer.de/nmee/bibs/5072001/50720001.htm", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Imperial Coll. of Sci., Technol. and Med., London, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "backward Euler time discretization; Cahn--Hilliard equation; error analysis; error bound; finite element analysis; finite element approximation; logarithmic free energy; piecewise linear FEA approximation; piecewise-linear techniques", treatment = "T Theoretical or Mathematical", } @Article{Hanke:1995:CAL, author = "Martin Hanke and Andreas Neubauer and Otmar Scherzer", title = "A convergence analysis of the {Landweber} iteration for nonlinear ill-posed problems", journal = j-NUM-MATH, volume = "72", number = "1", pages = "21--37", month = nov, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J20 (47H17)", MRnumber = "96i:65046", MRreviewer = "Hans-J{\"u}rgen Reinhardt", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072001/50720021.htm; http://science.springer.de/nmee/bibs/5072001/50720021.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Math., Johannes Kepler Univ., Linz, Austria", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence analysis; convergence of numerical methods; convergence rate; iterative methods; Landweber iteration; noise level; nonlinear ill posed problems; nonlinear ill-posed problems; perturbed data; stopping rule", treatment = "T Theoretical or Mathematical", } @Article{Kim:1995:PCS, author = "Sang Dong Kim and Seymour V. Parter", title = "Preconditioning cubic spline collocation --- Discretizations of elliptic equations", journal = j-NUM-MATH, volume = "72", number = "1", pages = "39--72", month = nov, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N35", MRnumber = "1 359 707", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072001/50720039.htm; http://science.springer.de/nmee/bibs/5072001/50720039.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kocan:1995:AVS, author = "Maciej Kocan", title = "Approximation of viscosity solutions of elliptic partial differential equations on minimal grids", journal = j-NUM-MATH, volume = "72", number = "1", pages = "73--92", month = nov, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx (11Jxx 35A35 35Dxx 35Jxx)", MRnumber = "1 359 708", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072001/50720073.htm; http://science.springer.de/nmee/bibs/5072001/50720073.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kohler:1995:CAB, author = "P. K{\"o}hler", title = "Construction of asymptotically best quadrature formulas", journal = j-NUM-MATH, volume = "72", number = "1", pages = "93--116", month = nov, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A55 (65D32)", MRnumber = "96f:41036", MRreviewer = "Marc Prevost", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072001/50720093.htm; http://science.springer.de/nmee/bibs/5072001/50720093.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schmidt:1995:AVS, author = "Wolfgang M. Schmidt", title = "Appendix to {``Approximation of viscosity solutions of elliptic partial differential equations on minimal grids'' by M. Kocan: Approximation to orthogonal bases in $\mbox{\bf R}^n$ by orthogonal bases with integer coordinates}", journal = j-NUM-MATH, volume = "72", number = "1", pages = "117--122", month = nov, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx (11Hxx 35Jxx)", MRnumber = "1 359 710", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072001/50720117.htm; http://science.springer.de/nmee/bibs/5072001/50720117.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zenisek:1995:ITN, author = "Alexander {\v{Z}}en{\'i}{\v{s}}ek and Mich{\`e}le Vanmaele", title = "The interpolation theorem for narrow quadrilateral isoparametric finite elements", journal = j-NUM-MATH, volume = "72", number = "1", pages = "123--141", month = nov, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "1 359 711", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072001/50720123.htm; http://science.springer.de/nmee/bibs/5072001/50720123.htm", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4185 (Finite element analysis); C4240C (Computational complexity)", corpsource = "Tech. Univ. Brno, Czech Republic", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "computational complexity; convex programming; convex quadrilateral isoparametric finite elements; finite element analysis; inscribed circle; interpolated function; interpolation; interpolation error; interpolation theorem; narrow quadrilateral isoparametric finite elements", treatment = "T Theoretical or Mathematical", } @Article{Beattie:1995:MCL, author = "Christopher Beattie and Friedrich Goerisch", title = "Methods for computing lower bounds to eigenvalues of self-adjoint operators", journal = j-NUM-MATH, volume = "72", number = "2", pages = "143--172", month = dec, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J10 (47A50 65F25 65N25)", MRnumber = "96k:65041", MRreviewer = "Igor Bock", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072002/50720143.htm; http://science.springer.de/nmee/bibs/5072002/50720143.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Campbell:1995:IGN, author = "Stephen L. Campbell and C. William Gear", title = "The index of general nonlinear {DAEs}", journal = j-NUM-MATH, volume = "72", number = "2", pages = "173--196", month = dec, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "34A09 (34A45 34H05 65L99)", MRnumber = "96i:34008", MRreviewer = "Michael Hanke", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072002/50720173.htm; http://science.springer.de/nmee/bibs/5072002/50720173.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Deckelnick:1995:CFE, author = "Klaus Deckelnick and Gerhard Dziuk", title = "Convergence of a finite element method for non-parametric mean curvature flow", journal = j-NUM-MATH, volume = "72", number = "2", pages = "197--222", month = dec, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12 (58E12 65M60)", MRnumber = "96m:65086", MRreviewer = "Kingsley Jones", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072002/50720197.htm; http://science.springer.de/nmee/bibs/5072002/50720197.htm", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); C4185 (Finite element analysis)", corpsource = "Inst. f{\"u}r Angewandte Math., Freiburg, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic convergence; finite element analysis; finite element method; mean curvature; natural regularity assumptions; nonparametric mean curvature flow; time derivative", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Najib:1995:DAS, author = "K. Najib and D. Sandri", title = "On a decoupled algorithm for solving a finite element problem for the approximation of viscoelastic fluid flow", journal = j-NUM-MATH, volume = "72", number = "2", pages = "223--238", month = dec, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (76A10 76M10)", MRnumber = "96i:65083", MRreviewer = "Zhangxin Chen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072002/50720223.htm; http://science.springer.de/nmee/bibs/5072002/50720223.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General fluid dynamics theory, simulation and other computational methods); A4750 (Non-Newtonian dynamics); B0290T (Finite element analysis); C4185 (Finite element analysis)", corpsource = "Fac. des Sci., Univ. Chouaib Doukkali, El Jadida, Morocco", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate problem; Boltzmann equation; convection; coupled algorithm; decoupled algorithm; error bounds; finite element analysis; finite element problem; fixed point techniques; flow simulation; non-Newtonian flow; numerical simulation; Oldroyd B differential model; pressure; Stokes like problem; stress; stress,; transport equation; upwinding; velocity; viscoelastic fluid flow", treatment = "A Application; P Practical", } @Article{Pao:1995:BMI, author = "C. V. Pao", title = "Block monotone iterative methods for numerical solutions of nonlinear elliptic equations", journal = j-NUM-MATH, volume = "72", number = "2", pages = "239--262", month = dec, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx", MRnumber = "1 362 262", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072002/50720239.htm; http://science.springer.de/nmee/bibs/5072002/50720239.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "block monotone iterative methods; boundary-value problem; boundary-value problems; computational algorithm; ecology; existence-comparison theorem; finite difference approximation; finite difference methods; iterative methods; logistic model problem; nonlinear algebraic system; nonlinear elliptic equations; nonlinear equations; numerical solutions; point monotone iterative schemes; sufficient condition; Thomas algorithm", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Rosier:1995:BDR, author = "Michael Rosier", title = "Biorthogonal decompositions of the {Radon} transform", journal = j-NUM-MATH, volume = "72", number = "2", pages = "263--283", month = dec, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "44A12 (65R10)", MRnumber = "96m:44005", MRreviewer = "Fritz Keinert", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072002/50720263.htm; http://science.springer.de/nmee/bibs/5072002/50720263.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wei:1995:UBS, author = "Musheng Wei", title = "Upper bound and stability of scaled pseudoinverses", journal = j-NUM-MATH, volume = "72", number = "2", pages = "285--293", month = dec, year = "1995", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050170", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F20 (15A09)", MRnumber = "96k:65031", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5072002/50720285.htm; http://science.springer.de/nmee/bibs/5072002/50720285.htm", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C1320 (Stability in control theory); C4140 (Linear algebra)", corpsource = "Dept. of Math., East China Normal Univ., Shanghai, China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "full column rank; matrices; matrix algebra; oblique projection; positive definite diagonal; scaled pseudoinverses; sharp upper bound; stability; upper bound; weighed pseudoinverse", treatment = "T Theoretical or Mathematical", } @Article{Diaz-Mendoza:1996:CTP, author = "Carlos D{\'i}az-Mendoza and Pablo Gonz{\'a}lez-Vera and Ram{\'o}n Orive", title = "On the convergence of two-point {Pad{\'e}}-type approximants", journal = j-NUM-MATH, volume = "72", number = "3", pages = "295--312", month = jan, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A21 (30B70 30E10 65D15)", MRnumber = "96j:41018", MRreviewer = "Pierre Hillion", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6072003/60720295.htm; http://science.springer.de/nmee/bibs/6072003/60720295.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Analisis Matematico, Univ. de La Laguna, Tenerife, Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence; convergence of numerical methods; convergence properties; function approximation; holomorphic functions; interpolation; Pad{\'e}-type approximants; prescribed poles; rational functions; rational interpolants", treatment = "T Theoretical or Mathematical", } @Article{Dryja:1996:MSM, author = "Maksymilian Dryja and Marcus V. Sarkis and Olof B. Widlund", title = "Multilevel {Schwarz} methods for elliptic problems with discontinuous coefficients in three dimensions", journal = j-NUM-MATH, volume = "72", number = "3", pages = "313--348", month = jan, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "96h:65134", MRreviewer = "I. Norman Katz", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6072003/60720313.htm; http://science.springer.de/nmee/bibs/6072003/60720313.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290T (Finite element analysis); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Warsaw Univ., Poland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "coarse spaces; condition number estimate; discontinuous coefficients; elliptic equations; elliptic problems; finite element analysis; finite element approximation; iterative operator; multilevel methods; multilevel Schwarz methods; nonuniform meshes; partial differential equations; piecewise linear functions", treatment = "T Theoretical or Mathematical", } @Article{Engl:1996:MNS, author = "Gabriele Engl", title = "The modeling and numerical simulation of gas flow networks", journal = j-NUM-MATH, volume = "72", number = "3", pages = "349--366", month = jan, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "80-08 (80A25)", MRnumber = "96j:80001", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6072003/60720349.htm; http://science.springer.de/nmee/bibs/6072003/60720349.htm", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C7440 (Civil and mechanical engineering computing); C7480 (Production engineering computing)", corpsource = "Inst. of Math., Tech. Univ. M{\"u}nchen, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "automobile industry; differential equations; differential-algebraic equations; digital simulation; finite volume chambers; flow simulation; gas dynamics; gas flow networks; gas transmission systems; internal combustion engines; modeling; multicylinder internal combustion engine; numerical simulation; one-dimensional Euler equations; pipe equations; pipe flow; predictor-corrector method; predictor-corrector methods; production engineering computing; PROMO; straight pipes", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Stenberg:1996:MFE, author = "Rolf Stenberg and Manil Suri", title = "Mixed $h$-$p$ finite element methods for problems in elasticity and {Stokes} flow", journal = j-NUM-MATH, volume = "72", number = "3", pages = "367--389", month = jan, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V05 (65N30 73C02 76D07 76M10)", MRnumber = "97b:73093", MRreviewer = "Rolf Rannacher", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6072003/60720367.htm; http://science.springer.de/nmee/bibs/6072003/60720367.htm", acknowledgement = ack-nhfb, classification = "C4185 (Finite element analysis)", corpsource = "Fac. of Mech. Eng., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic rates of convergence; displacement; elasticity; elasticity problem; finite element analysis; flow; limiting Stokes problem; mesh size; mixed $h$-$p$ finite element methods; mixed finite element spaces; numerical stability; optimal; polynomial degree; stable; Stokes flow; velocity", treatment = "T Theoretical or Mathematical", } @Article{Zha:1996:CGS, author = "Hongyuan Zha", title = "Computing the generalized singular values\slash vectors of large sparse or structured matrix pairs", journal = j-NUM-MATH, volume = "72", number = "3", pages = "391--417", month = jan, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (65F50)", MRnumber = "1 367 656; 97c:65073", MRreviewer = "Derek S. Henderson", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6072003/60720391.htm; http://science.springer.de/nmee/bibs/6072003/60720391.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci. and Eng., Pennsylvania State Univ., University Park, PA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "coefficient matrix; CS decomposition; generalized singular values; generalized singular vectors; iteration step; Lanczos bidiagonalization process; large sparse matrix pairs; least squares approximations; linear least squares problem; matrix decomposition; numerical algorithm; singular value decomposition; sparse matrices; structured matrix pairs; vectors", treatment = "T Theoretical or Mathematical", } @Article{Brenner:1996:TLA, author = "Susanne C. Brenner", title = "A two-level additive {Schwarz} preconditioner for nonconforming plate elements", journal = j-NUM-MATH, volume = "72", number = "4", pages = "419--447", month = feb, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65F10 65N30 73K10 73V05); 65Nxx (73K10 73V05)", MRnumber = "97h:65147; 1 376 107", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6072004/60720419.htm; http://science.springer.de/nmee/bibs/6072004/60720419.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation); C4185 (Finite element analysis); C7440 (Civil and mechanical engineering computing)", corpsource = "Dept. of Math., South Carolina Univ., Columbia, SC, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Adini finite element; bending; condition numbers; finite element analysis; Fraeijs de Veubeke finite element; Morley finite element; nonconforming plate elements; plate bending problem; Schwarz preconditioner; structural engineering computing; Zienkiewicz finite element", treatment = "T Theoretical or Mathematical", } @Article{Garay:1996:SSO, author = "Barnabas M. Garay", title = "On structural stability of ordinary differential equations with respect to discretization methods", journal = j-NUM-MATH, volume = "72", number = "4", pages = "449--479", month = feb, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "34A26 (58F09 65L05); 58Fxx (34Axx 34Cxx 58F09 65Jxx 65Lxx)", MRnumber = "97d:34007; 1 376 108", MRreviewer = "Wolf-J{\"u}rgen Beyn", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6072004/60720449.htm; http://science.springer.de/nmee/bibs/6072004/60720449.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Technol., Budapest, Hungary", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "compact m-dimensional discs; differential equations; Morse--Smale differential systems; numerical stability; one-step discretization; ordinary differential equations; self-diffeomorphisms; structural stability", treatment = "T Theoretical or Mathematical", } @Article{Kornhuber:1996:MMM, author = "Ralf Kornhuber", title = "Monotone multigrid methods for elliptic variational inequalities. {II}", journal = j-NUM-MATH, volume = "72", number = "4", pages = "481--499", month = feb, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65K05)", MRnumber = "96k:65081", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6072004/60720481.htm; http://science.springer.de/nmee/bibs/6072004/60720481.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290T (Finite element analysis); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Konrad-Zuse-Zentrum f{\"u}r Informationstech. Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic convergence; coarse grid; constraints; convergence of numerical methods; differential equations; discrete elliptic variational inequalities; elliptic equations; elliptic variational inequalities; finite element analysis; globally convergent; multigrid methods; nonlinear fine grid smoothing; piecewise linear finite elements", treatment = "T Theoretical or Mathematical", } @Article{Pehlivanov:1996:LSM, author = "A. I. Pehlivanov and G. F. Carey and P. S. Vassilevski", title = "Least-squares mixed finite element methods for non-selfadjoint elliptic problems: {I}. Error estimates", journal = j-NUM-MATH, volume = "72", number = "4", pages = "501--522", month = feb, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15); 65Nxx", MRnumber = "97f:65068; 1 376 110", MRreviewer = "Zhimin Zhang", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6072004/60720501.htm; http://science.springer.de/nmee/bibs/6072004/60720501.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Inst. for Comput. and Appl. Math., Texas Univ., Austin, TX, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "elliptic equations; error analysis; error estimates; finite element analysis; finite element partitions; least squares approximations; least-squares mixed finite element method; mixed finite element methods; non-selfadjoint elliptic problems; piecewise polynomial techniques; piecewise polynomials; rates of convergence", treatment = "T Theoretical or Mathematical", } @Article{Rumpf:1996:VAO, author = "M. Rumpf", title = "A variational approach to optimal meshes", journal = j-NUM-MATH, volume = "72", number = "4", pages = "523--540", month = feb, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V05 (65M50 65N50 76M10 76N15)", MRnumber = "97a:73079", MRreviewer = "J. T. Oden", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6072004/60720523.htm; http://science.springer.de/nmee/bibs/6072004/60720523.htm", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290K (Nonlinear and functional equations); B0290T (Finite element analysis); C1180 (Optimisation techniques); C4150 (Nonlinear and functional equations); C4185 (Finite element analysis)", corpsource = "Inst. f{\"u}r Angewandte Math., Freiburg Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "energy functionals; functional equations; functionals; mesh generation; nonlinear elasticity; optimal meshes; tetrahedral meshes; triangular meshes; variational approach; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Bank:1996:ACU, author = "Randolph E. Bank and Jinchao Xu", title = "An algorithm for coarsening unstructured meshes", journal = j-NUM-MATH, volume = "73", number = "1", pages = "1--36", month = mar, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N30); 65Dxx (65Fxx 65Nxx)", MRnumber = "97c:65055; 1 379 277", MRreviewer = "N. Gass", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073001/60730001.htm; http://science.springer.de/nmee/bibs/6073001/60730001.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., California Univ., San Diego, La Jolla, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "coarsening unstructured meshes; continuous piecewise linear polynomials; elliptic partial differential equations; finite element discretizations; generalized condition numbers; hierarchical basis; hierarchical basis functions; hierarchical basis levels; iterative methods; linear systems; locally refined meshes; nonuniform triangular mesh; partial differential equations; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Clement:1996:IMA, author = "Ph. Cl{\'e}ment and R. Hagmeijer and G. Sweers", title = "On the invertibility of mappings arising in {2D} grid generation problems", journal = j-NUM-MATH, volume = "73", number = "1", pages = "37--51", month = mar, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N50 (76Bxx 76Mxx); 65N50 (76M25)", MRnumber = "1 379 278; 97c:65197", MRreviewer = "W. Govaerts", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073001/60730037.htm; http://science.springer.de/nmee/bibs/6073001/60730037.htm", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0340G (Fluid dynamics: general mathematical aspects); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. fo Pure Math., Delft Univ. of Technol., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2D grid generation problems; Carleman-Hartman-Wintner theorem; computational fluid dynamics problem; elliptic partial differential equation; fluid dynamics; invertibility of mappings; partial differential equations; regular discretization; unit square", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Diethelm:1996:PKB, author = "Kai Diethelm", title = "{Peano} kernels and bounds for the error constants of {Gaussian} and related quadrature rules for {Cauchy} principal value integrals", journal = j-NUM-MATH, volume = "73", number = "1", pages = "53--63", month = mar, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Dxx (65R10); 65D32", MRnumber = "1 379 279; 97f:65016", MRreviewer = "J. Kofro{\v{n}}", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073001/60730053.htm; http://science.springer.de/nmee/bibs/6073001/60730053.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Inst. f{\"u}r Math., Hildesheim Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cauchy principal value integrals; error analysis; error constants; Gaussian rules; integral equations; interpolation; Peano kernels; quadrature rules; upper bounds; weight function", treatment = "T Theoretical or Mathematical", } @Article{Hadeler:1996:SOK, author = "K. P. Hadeler", title = "Shadowing orbits and {Kantorovich}'s theorem", journal = j-NUM-MATH, volume = "73", number = "1", pages = "65--73", month = mar, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "58F03; 58Fxx", MRnumber = "97c:58037; 1 379 280", MRreviewer = "Heinrich Steinlein", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073001/60730065.htm; http://science.springer.de/nmee/bibs/6073001/60730065.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Heil:1996:ATR, author = "Christopher Heil and Gilbert Strang and Vasily Strela", title = "Approximation by translates of refinable functions", journal = j-NUM-MATH, volume = "73", number = "1", pages = "75--94", month = mar, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15 (41A15 41A25)", MRnumber = "97c:65033; 1 379 281", MRreviewer = "Kai Diethelm", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073001/60730075.htm; http://science.springer.de/nmee/bibs/6073001/60730075.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hinze:1996:NAU, author = "Michael Hinze", title = "On the numerical approximation of unstable minimal surfaces with polygonal boundaries", journal = j-NUM-MATH, volume = "73", number = "1", pages = "95--118", month = mar, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D17 (53A10 65Y25)", MRnumber = "96k:65013", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073001/60730095.htm; http://science.springer.de/nmee/bibs/6073001/60730095.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4260 (Computational geometry)", corpsource = "Fachbereich Math., Tech. Univ. Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; computational geometry; discrete approximations; discrete minimal surfaces; error estimate; finite element approximation; neighbourhoods; Newton`s method; nondegenerate minimal surfaces; numerical approximation; numerical approximations; numerical computation; polygonal boundaries; polygonal minimal surfaces; quasiminimal surfaces; Shiffman`s function; unstable minimal surfaces", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Perthame:1996:PPF, author = "Benoit Perthame and Chi-Wang Shu", title = "On positivity preserving finite volume schemes for {Euler} equations", journal = j-NUM-MATH, volume = "73", number = "1", pages = "119--130", month = mar, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Mxx (76Mxx 76Nxx); 65M60 (76M25 76N15)", MRnumber = "1 379 283; 97h:65121", MRreviewer = "Michael Fr{\"o}hner", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073001/60730119.htm; http://science.springer.de/nmee/bibs/6073001/60730119.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bocharov:1996:NSL, author = "G. A. Bocharov and G. I. Marchuk and A. A. Romanyukha", title = "Numerical solution by {LMMs} of stiff delay differential systems modelling an immune response", journal = j-NUM-MATH, volume = "73", number = "2", pages = "131--148", month = apr, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06; 65Lxx (92-xx)", MRnumber = "97c:65117; 1 384 227", MRreviewer = "K. N. Murty", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073002/60730131.htm; http://science.springer.de/nmee/bibs/6073002/60730131.htm", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations); C7330 (Biology and medical computing)", corpsource = "Inst. of Numerical Math., Acad. of Sci., Moscow, Russia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic expansion; biology computing; biomedical application; constant delays; convergence; delay-differential systems; DIFSUB; DIFSUB-DDE; error analysis; fixed-stepsize; global error; immune response; initial value problem; initial value problems; interpolation; iterative methods; linear multistep formula; linear multistep methods; mathematical modelling; medical computing; numerical stability; stability; stiff delay differential systems modelling; variable-stepsize", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Chan:1996:OSM, author = "Tony F. Chan and Barry F. Smith and Jun Zou", title = "Overlapping {Schwarz} methods on unstructured meshes using non-matching coarse grids", journal = j-NUM-MATH, volume = "73", number = "2", pages = "149--167", month = apr, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "97h:65135; 1 384 228", MRreviewer = "Jan Mandel", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073002/60730149.htm; http://science.springer.de/nmee/bibs/6073002/60730149.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "coarse mesh; convergence of numerical methods; discrete problem; discretizations; domain decomposition methods; elliptic equations; elliptic problems; fine mesh; finite element interpolation; finite element problems; global coarse mesh; interpolation; mesh generation; Neumann boundary conditions; nonmatching coarse grids; optimal convergence rate; overlapping Schwarz methods; preconditioned system; unstructured meshes", treatment = "T Theoretical or Mathematical", } @Article{Dubois:1996:NPE, author = "Fran{\c{c}}ois Dubois and Guillaume Mehlman", title = "A non-parameterized entropy correction for {Roe}'s approximate {Riemann} solver", journal = j-NUM-MATH, volume = "73", number = "2", pages = "169--208", month = apr, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M06 (65M12 65M20); 65Mxx (76Mxx 76Nxx)", MRnumber = "97d:65041; 1 384 229", MRreviewer = "Murli M. Gupta", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073002/60730169.htm; http://science.springer.de/nmee/bibs/6073002/60730169.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations); C7320 (Physics and chemistry computing)", corpsource = "Dept. Math. Appliqu{\'e}es, Aerospatiale, Les Mureaux, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximate flux function; approximate Riemann solver; conservation laws; consistency; convergence; convergence of numerical methods; entropy; entropy condition; expansion shocks; hyperbolic equations; hyperbolic systems; initial value problem; initial value problems; interpolation; nonconvex scalar Riemann problems; nonlinear Hermite interpolation; nonparameterized entropy correction; one-dimensional shock-tube; physics computing; scalar convex conservation law; sonic points; sonic rarefaction waves; two-dimensional supersonic forward facing step", treatment = "T Theoretical or Mathematical", } @Article{Kimura:1996:AEC, author = "Masato Kimura", title = "Asymptotic estimation for the condition numbers in {BEM}", journal = j-NUM-MATH, volume = "73", number = "2", pages = "209--233", month = apr, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30; 65N38 (65R20)", MRnumber = "97g:65237; 1 384 230", MRreviewer = "Carsten Carstensen", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073002/60730209.htm; http://science.springer.de/nmee/bibs/6073002/60730209.htm", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Osaka Kyoiku Univ., Kashiwara, Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic estimation; asymptotic estimations; BEM; boundary element methods; boundary-elements methods; collocation method; condition number; condition numbers; convergence; convergence of numerical methods; discretization; discretization matrix; estimation theory; ill-conditionedness; interior Dirichlet problem; Laplace equations; matrix algebra; maximum norm; numerical computation; piecewise linear elements; piecewise-linear techniques; two dimensional Laplace equation", treatment = "T Theoretical or Mathematical", } @Article{Sun:1996:PAS, author = "Ji-guang Sun", title = "Perturbation analysis of singular subspaces and deflating subspaces", journal = j-NUM-MATH, volume = "73", number = "2", pages = "235--263", month = apr, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15-XX (65Fxx)", MRnumber = "1 384 231", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073002/60730235.htm; http://science.springer.de/nmee/bibs/6073002/60730235.htm", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Comput. Sci., Umea Univ., Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "condition numbers; deflating subspaces; eigenvalues; eigenvalues and eigenfunctions; Frechet derivatives; matrix; matrix decomposition; nonlinear equations; perturbation analysis; perturbation bounds; perturbation expansions; perturbation theory; second-order perturbation expansions; singular subspaces", treatment = "T Theoretical or Mathematical", } @Article{Bernardi:1996:MSP, author = "Christine Bernardi and Andreas Karageorghis", title = "{M}{\'e}thodes spectrales dans une portion de disque. ({French}) [{Spectral} methods in a part of the disk]", journal = j-NUM-MATH, volume = "73", number = "3", pages = "265--289", month = may, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx; 65N35", MRnumber = "1 389 488; 97g:65252", MRreviewer = "Serge Nicaise", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073003/60730265.htm; http://science.springer.de/nmee/bibs/6073003/60730265.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Lab. d`Anal. Num{\'e}rique, Univ. Pierre et Marie Curie, Paris, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bilaplacian equation; elliptic equations; high degree polynomials; matrix decomposition; numerical analysis; Poisson equation; polar coordinates; polynomials; spectral methods", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Bodenmann:1996:CDM, author = "Rudolf Bodenmann and H. Joachim Schroll", title = "Compact difference methods applied to initial-boundary value problems for mixed systems", journal = j-NUM-MATH, volume = "73", number = "3", pages = "291--309", month = may, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M06 (65M12)", MRnumber = "97g:65163; 1 389 489", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073003/60730291.htm; http://science.springer.de/nmee/bibs/6073003/60730291.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Seminar f{\"u}r Angewandte Math., Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation; difference methods; hyperbole; hyperbolic equations; initial value problems; initial-boundary value problems; linearised scheme; mixed systems; nonlinear convergence; nonlinear differential equations; nonlinear partial differential equations; numerical stability; parabolic; parabolic equations; partial differential equations; stability", treatment = "T Theoretical or Mathematical", } @Article{Cuyt:1996:KTT, author = "Annie Cuyt and Kathy Driver and Doron Lubinsky", title = "{Kronecker} type theorems, normality and continuity of the multivariate {Pad{\'e}} operator", journal = j-NUM-MATH, volume = "73", number = "3", pages = "311--327", month = may, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D15; 41A21 (65D15)", MRnumber = "1 389 490; 97g:41019", MRreviewer = "D. S. Lubinsky", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073003/60730311.htm; http://science.springer.de/nmee/bibs/6073003/60730311.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. Wis-Inf., Antwerp Univ., Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximated function; approximation theory; continuity; function approximation; Kronecker type theorems; multivariate Pad{\'e} approximation; multivariate Pad{\'e} operator; normality; Pad{\'e} approximants; Taylor series expansion; univariate functions", treatment = "T Theoretical or Mathematical", } @Article{Raviart:1996:HAM, author = "Pierre-Arnaud Raviart and Eric Sonnendr{\"u}cker", title = "A hierarchy of approximate models for the {Maxwell} equations", journal = j-NUM-MATH, volume = "73", number = "3", pages = "329--372", month = may, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "78A25 (78-08 78A30)", MRnumber = "98g:78004; 1 389 491", MRreviewer = "Adam Bechler", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073003/60730329.htm; http://science.springer.de/nmee/bibs/6073003/60730329.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); B5100 (Electric and magnetic fields); B5210 (Electromagnetic wave propagation); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "CMAP, {\'E}cole Polytech., Palaiseau, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic study; boundary conditions; boundary-value problems; Darwin models; function approximation; Maxwell equations; quasistatic; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Siebert:1996:PEE, author = "Kunibert G. Siebert", title = "An a posteriori error estimator for anisotropic refinement", journal = j-NUM-MATH, volume = "73", number = "3", pages = "373--398", month = may, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N15 (65N30)", MRnumber = "97g:65214; 1 389 492", MRreviewer = "Charles I. Goldstein", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073003/60730373.htm; http://science.springer.de/nmee/bibs/6073003/60730373.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Inst. f{\"u}r Angewandte Math., Freiburg, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "3-d prismatic grids; a posteriori error estimator; anisotropic refinement; error analysis; error estimator; finite element analysis; finite element method; local refinement; n-d cuboidal", treatment = "T Theoretical or Mathematical", } @Article{Ainsworth:1996:ISS, author = "Mark Ainsworth", title = "The influence and selection of subspaces for a posteriori error estimators", journal = j-NUM-MATH, volume = "73", number = "4", pages = "399--418", month = jun, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "97g:65221; 1 393 173", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073004/60730399.htm; http://science.springer.de/nmee/bibs/6073004/60730399.htm", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Leicester Univ., UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori error estimators; convergence of numerical methods; element residual method; element residual problem; finite element analysis; finite element approximation; quadrilateral elements; subspaces", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Dorfler:1996:TSA, author = "Willy D{\"o}rfler", title = "A time- and space-adaptive algorithm for the linear time-dependent {Schr{\"o}dinger} equation", journal = j-NUM-MATH, volume = "73", number = "4", pages = "419--448", month = jun, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M15 (65M50 65M60 81Q05); 65Mxx", MRnumber = "97g:65183; 1 393 174", MRreviewer = "P. Rochus", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073004/60730419.htm; http://science.springer.de/nmee/bibs/6073004/60730419.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0365G (Solutions of wave equations: bound state in quantum theory); B0290T (Finite element analysis); C4185 (Finite element analysis)", corpsource = "Inst. f{\"u}r Angewandte Math., Freiburg Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; finite element analysis; Schr{\"o}dinger equation; space-adaptive algorithm; time-adaptive algorithm; linear time-dependent Schr{\"o}dinger equation; a posteriori error estimate; residual based local error estimator; numerical solution; localization; finite computational domain; one space dimension", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Khoromskij:1996:RIM, author = "B. N. Khoromskij and G. Wittum", title = "Robust iterative methods for elliptic problems with highly varying coefficients in thin substructures", journal = j-NUM-MATH, volume = "73", number = "4", pages = "449--472", month = jun, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65F10); 65Nxx (65F10)", MRnumber = "97g:65235; 1 393 175", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073004/60730449.htm; http://science.springer.de/nmee/bibs/6073004/60730449.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Computeranwendungen, Stuttgart Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; composite materials simulation; convergence of numerical methods; elliptic problems; frequency filtering techniques; geometric decompositions; global iterations convergence rate; highly varying coefficients; iterative methods; magnetostatics problems; multilevel averaging procedure; multilevel coarse grid preconditioner; multilevel interface solvers; robust iterative methods; successive coarse grid correction; tensor product; thin substructures; two-dimensional finite element discrete elliptic problems", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Mandel:1996:CSM, author = "Jan Mandel and Radek Tezaur", title = "Convergence of a substructuring method with {Lagrange} multipliers", journal = j-NUM-MATH, volume = "73", number = "4", pages = "473--487", month = jun, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30; 65Nxx", MRnumber = "97h:65142; 1 393 176", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073004/60730473.htm; http://science.springer.de/nmee/bibs/6073004/60730473.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4185 (Finite element analysis)", corpsource = "Center for Comput. Math., Colorado Univ., Denver, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic bound; boundary-value problems; characteristic element size; coarse problem; convergence; convergence of numerical methods; Dirichlet problems; elliptic boundary value problem; finite element analysis; finite element discretization; iterative method; iterative methods; Lagrange multipliers; linear conforming elements; matrix algebra; Neumann problems; preconditioning; subdomain nullspace components; subdomain size; substructuring method", treatment = "T Theoretical or Mathematical", } @Article{Manteuffel:1996:HIM, author = "Thomas A. Manteuffel and Gerhard Starke", title = "On hybrid iterative methods for nonsymmetric systems of linear equations", journal = j-NUM-MATH, volume = "73", number = "4", pages = "489--506", month = jun, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "97c:65062; 1 393 177", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073004/60730489.htm; http://science.springer.de/nmee/bibs/6073004/60730489.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Program in Appl. Math., Colorado Univ., Boulder, CO, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Arnoldi process; coefficient matrix; eigenvalue estimates; hybrid algorithms; hybrid iterative methods; iterative methods; Krylov subspace; linear algebra; nonsymmetric systems; nonsymmetric systems of linear equations; numerical experiments; polynomial iteration", treatment = "T Theoretical or Mathematical", } @Article{OCinneide:1996:REB, author = "Colm Art O'Cinneide", title = "Relative-error bounds for the {$LU$} decomposition via the {$GTH$} algorithm", journal = j-NUM-MATH, volume = "73", number = "4", pages = "507--519", month = jun, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05; 65Hxx", MRnumber = "97h:65033; 1 393 178", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073004/60730507.htm; http://science.springer.de/nmee/bibs/6073004/60730507.htm", acknowledgement = ack-nhfb, classification = "C1140Z (Other topics in statistics); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "School of Ind. Eng., Purdue Univ., West Lafayette, IN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "error analysis; finite state Markov chain; Grassmann--Taksar--Heyman algorithm; GTH algorithm; LU decomposition; Markov processes; matrix decomposition; relative error bounds; steady state distribution", treatment = "T Theoretical or Mathematical", } @Article{Osada:1996:ATA, author = "Naoki Osada", title = "An acceleration theorem for the $\rho$-algorithm", journal = j-NUM-MATH, volume = "73", number = "4", pages = "521--531", month = jun, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65B05", MRnumber = "97c:65013; 1 393 179", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073004/60730521.htm; http://science.springer.de/nmee/bibs/6073004/60730521.htm", acknowledgement = ack-nhfb, classification = "C4100 (Numerical analysis); C7310 (Mathematics computing)", corpsource = "Nagasaki Inst. of Applied Sci., Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "acceleration theorem; convergence of numerical methods; convergence theorem; linear convergence; logarithmically convergent sequences; mathematics computing; rho algorithm; sequences", treatment = "T Theoretical or Mathematical", } @Article{Coquel:1996:ESM, author = "Fr{\'e}d{\'e}ric Coquel and Philippe G. LeFloch", title = "An entropy satisfying {MUSCL} scheme for systems of conservation laws", journal = j-NUM-MATH, volume = "74", number = "1", pages = "1--33", month = jul, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12 (35L65 65M06); 65M06 (35L65 65M12)", MRnumber = "97g:65179; 1 400 213", MRreviewer = "John C. Strikwerda", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074001/60740001.htm; http://science.springer.de/nmee/bibs/6074001/60740001.htm", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Lab. d'Anal. Num{\'e}rique, Paris VI Univ., France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; classical discrete entropy inequalities; conservation law systems; conservation laws; convergence of numerical methods; differential equations; entropy; entropy diminishing criterion; entropy satisfying MUSCL scheme; high-order numerical approximation; hyperbolic equations; hyperbolic systems; scalar equations; second-order entropy-satisfying scheme; total variation diminishing criterion", treatment = "T Theoretical or Mathematical", } @Article{Dieci:1996:PMN, author = "Luca Dieci and Timo Eirola", title = "Preserving monotonicity in the numerical solution of {Riccati} differential equations", journal = j-NUM-MATH, volume = "74", number = "1", pages = "35--47", month = jul, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06; 65Lxx", MRnumber = "97j:65114; 1 400 214", MRreviewer = "K. N. Murty", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074001/60740035.htm; http://science.springer.de/nmee/bibs/6074001/60740035.htm", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Sch. of Math., Georgia Inst. of Technol., Atlanta, GA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Gauss schemes; Hamiltonian matrix; indirect solution procedures; matrix algebra; monotonicity preservation; nonlinear differential equations; numerical solution; positive semidefinite matrices; positive weights; positivity; Riccati equations; Runge--Kutta methods; symmetric Riccati differential equations; symplectic Runge--Kutta schemes", treatment = "T Theoretical or Mathematical", } @Article{Liu:1996:IEN, author = "Xiaobo Liu", title = "Interior estimates for nonconforming finite element methods", journal = j-NUM-MATH, volume = "74", number = "1", pages = "49--67", month = jul, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15); 65N15 (65N30)", MRnumber = "97h:65141; 1 400 215", MRreviewer = "Weimin Han", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074001/60740049.htm; http://science.springer.de/nmee/bibs/6074001/60740049.htm", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4180 (Integral equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math. and Comput. Sci., Clarkson Univ., Potsdam, NY, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "arbitrarily weak Sobolev norm; boundary-value problems; convergence of numerical methods; degree of continuity; difference quotient; elliptic equations; error analysis; finite element analysis; interior domain error; interior error estimates; interior superconvergence; local approximability; nonconforming finite element methods; second order scalar elliptic boundary value problems; translation invariant condition", treatment = "T Theoretical or Mathematical", } @Article{Maitre:1996:CND, author = "Jean-Fran{\c{c}}ois Maitre and Olivier Pourquier", title = "Condition number and diagonal preconditioning: comparison of the $p$-version and the spectral element methods", journal = j-NUM-MATH, volume = "74", number = "1", pages = "69--84", month = jul, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (65M60 65N30); 65F35 (65M60 65Nxx)", MRnumber = "98b:65047; 1 400 216", MRreviewer = "Svetozar D. Margenov", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074001/60740069.htm; http://science.springer.de/nmee/bibs/6074001/60740069.htm", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations); C4180 (Integral equations); C4185 (Finite element analysis)", corpsource = "{\'E}quipe d'Anal. Num{\'e}rique Lyon-Saint Etienne, {\'E}cole Centrale de Lyon, Ecully, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$p$-version; adaptive methods; boundary-value problems; condition number; d-dimensional rectangular elements; diagonal preconditioning; elliptic equations; finite element analysis; finite element method; mass matrix; matrices; matrix algebra; second order elliptic boundary value problems; spectral element methods; stiffness matrix", treatment = "T Theoretical or Mathematical", } @Article{Mathias:1996:FAE, author = "Roy Mathias", title = "Fast accurate eigenvalue methods for graded positive definite matrices", journal = j-NUM-MATH, volume = "74", number = "1", pages = "85--103", month = jul, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "97d:65018; 1 400 217", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074001/60740085.htm; http://science.springer.de/nmee/bibs/6074001/60740085.htm", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Coll. of William and Mary, Williamsburg, VA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "Cholesky factorization; condition number; eigenvalue methods; eigenvalues and eigenfunctions; graded positive definite matrices; high relative accuracy; Jacobi method; Jacobian matrices; matrix decomposition; tridiagonalization methods", treatment = "T Theoretical or Mathematical", } @Article{Nochetto:1996:CEE, author = "Ricardo H. Nochetto and Claudio Verdi", title = "Combined effect of explicit time-stepping and quadrature for curvature driven flows", journal = j-NUM-MATH, volume = "74", number = "1", pages = "105--136", month = jul, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12 (65M50); 65M60 (65M12)", MRnumber = "97j:65144; 1 400 218", MRreviewer = "Robert F. Almgren", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074001/60740105.htm; http://science.springer.de/nmee/bibs/6074001/60740105.htm", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4185 (Finite element analysis); C4260 (Computational geometry)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "closed surface flow; computational geometry; convergence; convergence of numerical methods; curvature driven flows; discrete nondegeneracy; dynamic mesh algorithm; explicit time-stepping; integration; Lipschitz properties; mass lumping; mesh generation; parabolic equations; parabolic projection; piecewise linear finite elements; piecewise-linear techniques; quadrature; singularly perturbed parabolic double obstacle problem; singularly perturbed systems; space discretization; time discretization; viscosity solutions; weakly acute mesh", treatment = "T Theoretical or Mathematical", } @Article{Baratella:1996:AEB, author = "Paola Baratella and Paola Moroni", title = "Asymptotic error bounds of product formulas for functions with interior singularity", journal = j-NUM-MATH, volume = "74", number = "2", pages = "137--151", month = aug, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A35 (41A55 65D15); 65Dxx (41A55)", MRnumber = "98a:41031; 1 403 894", MRreviewer = "Klaus-J{\"u}rgen F{\"o}rster", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074002/60740137.htm; http://science.springer.de/nmee/bibs/6074002/60740137.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dipartimento di Matematica, Politecnico di Torino, Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; asymptotic error bounds; convergence; convergence of numerical methods; error analysis; integral approximation; integral equations; interior singularity; interpolation; Jacobi polynomials; logarithmic singularity; quadrature formulas; zeros", treatment = "T Theoretical or Mathematical", } @Article{Gastaldi:1996:MFE, author = "Lucia Gastaldi", title = "Mixed finite element methods in fluid structure systems", journal = j-NUM-MATH, volume = "74", number = "2", pages = "153--176", month = aug, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73K70 (65N30 73V05); 73Kxx (65N30)", MRnumber = "97e:73053; 1 403 895", MRreviewer = "Oleg Limarchenko", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074002/60740153.htm; http://science.springer.de/nmee/bibs/6074002/60740153.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4735 (Waves in fluid dynamics); A4760 (Flows in ducts, channels, and conduits); C1295 (Other topics in systems theory); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dipartimento di Matematica, Pavia Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; channel flow; eigenvalue; eigenvalues and eigenfunctions; error analysis; error bounds; finite element analysis; fluid oscillations; fluid structure systems; fluid vibration; Lagrange multipliers; liquid structure; mixed finite element methods; moving boundaries; numerical stability; rigid cavity; stability; vibrations", treatment = "T Theoretical or Mathematical", } @Article{Iske:1996:SFS, author = "Armin Iske and Thomas Sonar", title = "On the structure of function spaces in optimal recovery of point functionals for {ENO-schemes} by radial basis functions", journal = j-NUM-MATH, volume = "74", number = "2", pages = "177--201", month = aug, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (65N30)", MRnumber = "97i:65150; 1 403 896", MRreviewer = "Yuly Makovoz", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074002/60740177.htm; http://science.springer.de/nmee/bibs/6074002/60740177.htm", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290D (Functional analysis); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Numerische und Angewandte Math., G{\"o}ttingen Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; computability; ENO approximation; finite volume methods; function space structure; functional analysis; optimal recovery splines; optimisation; point functionals; radial basis functions; solvability; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Saridakis:1996:REC, author = "Yiannis G. Saridakis", title = "Regions of exact convergence of the {USSOR} method applied on generalized consistently ordered matrices", journal = j-NUM-MATH, volume = "74", number = "2", pages = "203--219", month = aug, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "97k:65083; 1 403 897", MRreviewer = "Olexander S. Babanin", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074002/60740203.htm; http://science.springer.de/nmee/bibs/6074002/60740203.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Appl. Math. and Comput. Lab., Tech. Univ. of Crete, Chania, Greece", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; exact convergence; extrapolation; generalized consistently ordered matrices; matrix algebra; nonnegative matrices; regular splittings; relaxation theory; unsymmetric successive overrelaxation; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Schwab:1996:PME, author = "C. Schwab", title = "A-posteriori modeling error estimation for hierarchic plate models", journal = j-NUM-MATH, volume = "74", number = "2", pages = "221--259", month = aug, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73Kxx (65N30 73Vxx)", MRnumber = "1 403 898", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074002/60740221.htm; http://science.springer.de/nmee/bibs/6074002/60740221.htm", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1140Z (Other topics in statistics); C1220 (Simulation, modelling and identification); C1340J (Distributed parameter control systems); C4110 (Error analysis in numerical methods)", corpsource = "Seminar f{\"u}r Angewandte Math., Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "2D plate model; 3D plate model; a-posteriori estimators; asymptotic exactness; boundary-value problems; dimensional reductions; effectivity indices; elastic plate; energy projection; error analysis; estimation theory; flexible structures; hierarchic plate models; hierarchical systems; matrix algebra; modeling error; modelling; semi-discretization; spectral exactness; sufficient conditions; variational edge conditions", treatment = "T Theoretical or Mathematical", } @Article{Apel:1996:AMR, author = "Thomas Apel and Gert Lube", title = "Anisotropic mesh refinement in stabilized {Galerkin} methods", journal = j-NUM-MATH, volume = "74", number = "3", pages = "261--282", month = sep, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N50)", MRnumber = "98a:65158; 1 408 603", MRreviewer = "G. Albinus", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074003/60740261.htm; http://science.springer.de/nmee/bibs/6074003/60740261.htm", acknowledgement = ack-nhfb, classification = "A4425 (Heat convection); A4725F (Boundary layer and shear turbulence); A4725Q (Convection and heat transfer); C4130 (Interpolation and function approximation); C4185 (Finite element analysis); C7320 (Physics and chemistry computing)", corpsource = "Fakult{\"a}t f{\"u}r Math., Tech. Univ. Chemnitz, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "anisotropic mesh refinement; boundary layer refinement; boundary layers; boundary-value problems; convection; convection-diffusion-reaction model problem; convection-dominated; diffusion; diffusion-dominated; Galerkin method; isotropic meshes; least squares approximations; mesh generation; reaction-dominated; simplicial Lagrangian elements; singularly perturbed case; stabilized finite element method; stabilized Galerkin methods", treatment = "T Theoretical or Mathematical", } @Article{Casas:1996:FFS, author = "F. Casas", title = "{Fer}'s factorization as a symplectic integrator", journal = j-NUM-MATH, volume = "74", number = "3", pages = "283--303", month = sep, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "70-08 (65L05 70Hxx); 70-08 (65L05 70H05)", MRnumber = "1 408 604; 97g:70001", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074003/60740283.htm; http://science.springer.de/nmee/bibs/6074003/60740283.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Nipp:1996:IMG, author = "K. Nipp and D. Stoffer", title = "Invariant manifolds and global error estimates of numerical integration schemes applied to stiff systems of singular perturbation type. {II}. Linear multistep methods", journal = j-NUM-MATH, volume = "74", number = "3", pages = "305--323", month = sep, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (34A45 34C30 34E15); 65L06 (34A45 34E15)", MRnumber = "97k:65174; 1 408 605", MRreviewer = "David R. Hill", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074003/60740305.htm; http://science.springer.de/nmee/bibs/6074003/60740305.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "differential equations; error analysis; global error bounds; global error estimates; linear multistep methods; numerical integration; ODEs; singular perturbation; singularly perturbed systems; stiff systems", treatment = "T Theoretical or Mathematical", } @Article{Pedregal:1996:NAN, author = "Pablo Pedregal", title = "On the numerical analysis of non-convex variational problems", journal = j-NUM-MATH, volume = "74", number = "3", pages = "325--336", month = sep, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49J45 (49J10 65K10 73V25 78-08); 49Mxx (65K10)", MRnumber = "97j:49023; 1 408 606", MRreviewer = "Paolo Marcellini", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074003/60740325.htm; http://science.springer.de/nmee/bibs/6074003/60740325.htm", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Dept. de Matematica Aplicada, Univ. Complutense de Madrid, Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; convergence theorem; convexity; functional analysis; multiwell energy; non-convex variational problems; numerical analysis; scalar valued functions; strongly-convergent minimizing sequences; variational techniques; Young-measure-valued minimizers", treatment = "T Theoretical or Mathematical", } @Article{Sauter:1996:ENI, author = "S. A. Sauter and A. Krapp", title = "On the effect of numerical integration in the {Galerkin} boundary element method", journal = j-NUM-MATH, volume = "74", number = "3", pages = "337--359", month = sep, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N38 (65D30); 65D30 (65N30 65N38)", MRnumber = "97j:65189; 1 408 607", MRreviewer = "W. Govaerts", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074003/60740337.htm; http://science.springer.de/nmee/bibs/6074003/60740337.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); B0290R (Integral equations); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4180 (Integral equations); C4185 (Finite element analysis)", corpsource = "Inst. f{\"u}r Praktische Math., Kiel Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic accuracy; asymptotic discretization error; boundary element method; boundary-elements methods; cubature errors; error analysis; Fredholm integral equations; Galerkin boundary element method; Galerkin method; integration; numerical integration", treatment = "T Theoretical or Mathematical", } @Article{Shaw:1996:DGM, author = "S. Shaw and J. R. Whiteman", title = "Discontinuous {Galerkin} method with a posteriori {$L_p(0,t_i)$} error estimate for second-kind {Volterra} problems", journal = j-NUM-MATH, volume = "74", number = "3", pages = "361--383", month = sep, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (65M15 65M60)", MRnumber = "97g:65280; 1 408 608", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074003/60740361.htm; http://science.springer.de/nmee/bibs/6074003/60740361.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Brunel Univ., Uxbridge, UK", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "discontinuous Galerkin finite element method; error analysis; error estimate; error feedback; finite element analysis; Galerkin method; time step control; Volterra equation", treatment = "T Theoretical or Mathematical", } @Article{Alonso:1996:EEM, author = "A. Alonso", title = "Error estimators for a mixed method", journal = j-NUM-MATH, volume = "74", number = "4", pages = "385--395", month = oct, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N15; 65Nxx", MRnumber = "97g:65212; 1 414 415", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074004/60740385.htm; http://science.springer.de/nmee/bibs/6074004/60740385.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Fac. de Ciencias Exactas, Univ. Nacional de La Plata, Argentina", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a-posteriori; elliptic equations; elliptic partial differential equations; equivalence; error analysis; error estimators; finite element solution; mixed method; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Kappert:1996:ZPS, author = "M. Kappert", title = "On the zeros of the partial sums of $\cos(z)$ and $\sin(z)$", journal = j-NUM-MATH, volume = "74", number = "4", pages = "397--417", month = oct, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C15", MRnumber = "98e:30004; 1 414 416", MRreviewer = "Miodrag Petkovi{\'c}", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074004/60740397.htm; http://science.springer.de/nmee/bibs/6074004/60740397.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{McLean:1996:BEC, author = "W. McLean and S. B. Pr{\"o}{\ss}dorf", title = "Boundary element collocation methods using splines with multiple knots", journal = j-NUM-MATH, volume = "74", number = "4", pages = "419--451", month = oct, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N38 (65N12 65N35); 65Nxx", MRnumber = "97k:65271; 1 414 417", MRreviewer = "Wu Zhang", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074004/60740419.htm; http://science.springer.de/nmee/bibs/6074004/60740419.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4185 (Finite element analysis)", corpsource = "Sch. of Math., New South Wales Univ., Sydney, NSW, Australia", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary element collocation; boundary-elements methods; collocation methods; convergence analysis; convergence of numerical methods; error analysis; multiple knots; recurrence relation; splines; splines (mathematics); superconvergence; trial functions", treatment = "T Theoretical or Mathematical", } @Article{Oukit:1996:MFE, author = "A. Oukit and R. Pierre", title = "Mixed finite element for the linear plate problem: The {Hermann-Miyoshi} model revisited", journal = j-NUM-MATH, volume = "74", number = "4", pages = "453--477", month = oct, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73K10 73V05); 65N30 (73Vxx)", MRnumber = "97i:65165; 1 414 418", MRreviewer = "N. Gass", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074004/60740453.htm; http://science.springer.de/nmee/bibs/6074004/60740453.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation); B0290T (Finite element analysis); C4185 (Finite element analysis); C7400 (Engineering computing)", corpsource = "Dept. de Math. and Stat., Laval Univ., Que., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bending; convergence of numerical methods; convergence results; decomposition principle; finite element analysis; Hermann-Miyoshi model; linear plate problem; meshes; mixed finite element", treatment = "T Theoretical or Mathematical", } @Article{vonPetersdorff:1996:WAF, author = "Tobias von Petersdorff and Christoph Schwab", title = "Wavelet approximations for first kind boundary integral equations on polygons", journal = j-NUM-MATH, volume = "74", number = "4", pages = "479--516", month = oct, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N38 (65N55)", MRnumber = "97m:65223; 1 414 419", MRreviewer = "Ruud van Damme", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6074004/60740479.htm; http://science.springer.de/nmee/bibs/6074004/60740479.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290R (Integral equations); B0290Z (Other numerical methods); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4180 (Integral equations); C4190 (Other numerical methods); C4260 (Computational geometry)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic error analysis; basis functions; boundary energy norm; boundary integral equations; boundary-value problems; computational geometry; elliptic boundary value problem; error analysis; first kind boundary integral equations; Galerkin discretization; interior points; nonzero elements; polygons; spline wavelets; splines (mathematics); stiffness matrix; truncation strategy; wavelet approximations; wavelet transforms", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Bao:1996:NAD, author = "Gang Bao", title = "Numerical analysis of diffraction by periodic structures: {TM} polarization", journal = j-NUM-MATH, volume = "75", number = "1", pages = "1--16", month = nov, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "78A45 (65N30 78-08); 78A45 (65N30)", MRnumber = "97j:78020; 1 417 860", MRreviewer = "J. R. Kuttler", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075001/60750001.htm; http://science.springer.de/nmee/bibs/6075001/60750001.htm", acknowledgement = ack-nhfb, classification = "A4110H (Electromagnetic waves: theory); B0290T (Finite element analysis); B0290Z (Other numerical methods); B5210 (Electromagnetic wave propagation); C4185 (Finite element analysis); C4190 (Other numerical methods)", corpsource = "Dept. of Math., Florida Univ., Gainesville, FL, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "electromagnetic wave diffraction; electromagnetic wave polarisation; error estimates; finite element analysis; finite element approximation; generalized Helmholtz equation; nonlocal boundary operators; numerical analysis; numerical analysis of diffraction; periodic inhomogeneous material; periodic structures; time harmonic wave; TM polarization; transparent boundary conditions; uniqueness", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Crandall:1996:CDS, author = "Michael G. Crandall and Pierre-Louis Lions", title = "Convergent difference schemes for nonlinear parabolic equations and mean curvature motion", journal = j-NUM-MATH, volume = "75", number = "1", pages = "17--41", month = nov, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M06 (65M12)", MRnumber = "97j:65134; 1 417 861", MRreviewer = "Zhong Xiong Pan", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075001/60750017.htm; http://science.springer.de/nmee/bibs/6075001/60750017.htm", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Dept. of Math., California Univ., Santa Barbara, CA, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergent difference schemes; degeneracy; explicit finite difference schemes; finite difference methods; full nonlinearity; mean curvature motion; motion by mean curvature; nonlinear equations; nonlinear parabolic equations; nonlocal problem; parabolic equations; quasilinearity; singularities; viscosity; viscosity solutions", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Govaerts:1996:DHP, author = "W. Govaerts and A. Spence", title = "Detection of {Hopf} points by counting sectors in the complex plane", journal = j-NUM-MATH, volume = "75", number = "1", pages = "43--58", month = nov, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65H17 (58F14); 65Fxx", MRnumber = "98a:65074; 1 417 862", MRreviewer = "Raffaella Pavani", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075001/60750043.htm; http://science.springer.de/nmee/bibs/6075001/60750043.htm", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math. and Comput. Sci., Gent Univ., Belgium", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bifurcation; boundary value problems; boundary-value problems; Cayley transform; complex plane; dynamical problems; eigenvalues and eigenfunctions; Hopf points detection; Jacobian matrices; large sparse matrices; periodic solutions; purely imaginary eigenvalues; QR algorithm; Schur complement; Schur complement method; sparse matrices; steady state solutions", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Guo:1996:PVF, author = "Benqi Guo and Weiming Cao", title = "A preconditioner for the $h$-$p$ version of the finite element method in two dimensions", journal = j-NUM-MATH, volume = "75", number = "1", pages = "59--77", month = nov, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (65N30 65N55); 65F10 (65N30 65N55)", MRnumber = "98a:65060; 1 417 863", MRreviewer = "Mark Ainsworth", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075001/60750059.htm; http://science.springer.de/nmee/bibs/6075001/60750059.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290T (Finite element analysis); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4185 (Finite element analysis)", corpsource = "Dept. of Appl. Math., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "$h$-$p$ version; conjugate gradient methods; finite element analysis; finite element method; polygonal domains; preconditioned linear system; preconditioner; subdomain level; two-level mesh; two-level orthogonalization", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Novak:1996:HDI, author = "Erich Novak and Klaus Ritter", title = "High-dimensional integration of smooth functions over cubes", journal = j-NUM-MATH, volume = "75", number = "1", pages = "79--97", month = nov, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D30 (65Y20)", MRnumber = "97k:65057; 1 417 864", MRreviewer = "Gheorghe Coman", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075001/60750079.htm; http://science.springer.de/nmee/bibs/6075001/60750079.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Erlangen-N{\"u}rnberg Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "bounded mixed derivative; Clenshaw--Curtis rule; cubes; d-dimensional cube; error bounds; high dimensional integration; interpolation; numerical integration; numerical stability; Smolyak's construction; smooth functions", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Plato:1996:DPI, author = "Robert Plato", title = "On the discrepancy principle for iterative and parametric methods to solve linear ill-posed equations", journal = j-NUM-MATH, volume = "75", number = "1", pages = "99--120", month = nov, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65J20 (65J10 65R30); 65J20 (65R30)", MRnumber = "98a:65082; 1 417 865", MRreviewer = "Charles W. Groetsch", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075001/60750099.htm; http://science.springer.de/nmee/bibs/6075001/60750099.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Math., Tech. Univ. Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "abstract Cauchy problem; Banach spaces; convergence rates; discrepancy principle; Hilbert spaces; iteration methods; iterative methods; linear ill-posed equations; modified discrepancy principle; numerical solution; parametric methods; regularization method; Richardson iteration", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Xu:1996:SAA, author = "Shu-fang Xu", title = "Sensitivity analysis of the algebraic {Riccati} equations", journal = j-NUM-MATH, volume = "75", number = "1", pages = "121--134", month = nov, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "15A24 (93B25 93B35 93C05); 93C05 (93B35)", MRnumber = "98b:15017; 1 417 866", MRreviewer = "M. M. Konstantinov", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075001/60750121.htm; http://science.springer.de/nmee/bibs/6075001/60750121.htm", acknowledgement = ack-nhfb, classification = "C1310 (Control system analysis and synthesis methods); C1330 (Optimal control); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Beijing Univ., China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic Riccati equations; closed-loop matrix; Hermitian positive semi-definite solution; imaginary axis; intrinsic relation; nonlinear equations; optimal control; Riccati equations; sensitivity analysis; sharp perturbation bounds", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Bornemann:1996:CMM, author = "Folkmar A. Bornemann and Peter Deuflhard", title = "The cascadic multigrid method for elliptic problems", journal = j-NUM-MATH, volume = "75", number = "2", pages = "135--152", month = dec, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65F10 65N30)", MRnumber = "98a:65175", MRreviewer = "S. F. McCormick", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075002/60750135.htm; http://science.springer.de/nmee/bibs/6075002/60750135.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C1320 (Stability in control theory); C1340E (Self-adjusting control systems); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4240C (Computational complexity)", corpsource = "Fachbereich Math., Freie Univ. Berlin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori estimates; adaptive control; adaptive control strategy; adaptive multilevel methods; cascadic multigrid method; computational complexity; conjugate gradient method; conjugate gradient methods; differential equations; elliptic problems; error tolerance; iterative methods; optimal complexity; preconditioner; robust control; robustness", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Brink:1996:SCB, author = "Ulrich Brink and Carsten Carstensen and Erwin Stein", title = "Symmetric coupling of boundary elements and {Raviart--Thomas}-type mixed finite elements in elastostatics", journal = j-NUM-MATH, volume = "75", number = "2", pages = "153--174", month = dec, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65R20 73V05)", MRnumber = "98g:65106", bibdate = "Sat Oct 24 12:49:56 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075002/60750153.htm; http://science.springer.de/nmee/bibs/6075002/60750153.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630C (Elasticity); B0290T (Finite element analysis); C4185 (Finite element analysis)", corpsource = "Inst. f{\"u}r Baumech. und Numerische Mech., Hannover Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary elements; boundary integral equations; boundary integral methods; boundary-elements methods; computational mechanics; convergence analysis; convergence of numerical methods; critical Poisson ratios; elasticity; elastostatics; Lagrange multipliers; numerical examples; Poisson ratio; Raviart--Thomas-type mixed finite elements; stress approximation; symmetric coupling", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Ernst:1996:FEC, author = "Oliver G. Ernst", title = "A finite-element capacitance matrix method for exterior {Helmholtz} problems", journal = j-NUM-MATH, volume = "75", number = "2", pages = "175--204", month = dec, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65Fxx)", MRnumber = "1 421 986", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075002/60750175.htm; http://science.springer.de/nmee/bibs/6075002/60750175.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290T (Finite element analysis); B0290Z (Other numerical methods); C4170 (Differential equations); C4185 (Finite element analysis); C4190 (Other numerical methods)", corpsource = "Inst. f{\"u}r Angewandte Math., Tech. Univ. Bergakademie Freiberg, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "boundary-value problems; bounded domain; circular artificial boundary; exact nonlocal boundary condition; exterior boundary value problems; exterior Helmholtz problems; fast Fourier transforms; FFT-based fast Helmholtz solver; finite element analysis; finite-element capacitance matrix method; Helmholtz equations; imbedding; Krylov subspace methods; mesh independent convergence rates; numerical solution; spectral distribution", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Luskin:1996:ALM, author = "Mitchell Luskin", title = "Approximation of a laminated microstructure for a rotationally invariant, double well energy density", journal = j-NUM-MATH, volume = "75", number = "2", pages = "205--221", month = dec, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73C50 (65N30 73B27 73S10 73V05 73V25)", MRnumber = "97k:73026", MRreviewer = "Pablo Pedregal", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075002/60750205.htm; http://science.springer.de/nmee/bibs/6075002/60750205.htm", acknowledgement = ack-nhfb, classification = "A0340D (Mathematical theory of elasticity); A6220F (Deformation and plasticity); A6470K (Solid-solid transitions); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Sch. of Math., Minnesota Univ., Minneapolis, MN, USA", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; convergence of numerical methods; deformation; deformation gradient; directional derivatives; double well energy density; error estimates; laminated microstructure approximation; martensitic structure; martensitic transformations; nonlinear integrals; weak convergence; Young measure; Young's modulus", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Pitkaranta:1996:DPE, author = "Juhani Pitk{\"a}ranta and Manil Suri", title = "Design principles and error analysis for reduced-shear plate-bending finite elements", journal = j-NUM-MATH, volume = "75", number = "2", pages = "223--266", month = dec, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V05 (65N30 73K10)", MRnumber = "98c:73078", MRreviewer = "Zhimin Zhang", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6075002/60750223.htm; http://science.springer.de/nmee/bibs/6075002/60750223.htm", acknowledgement = ack-nhfb, classification = "A0340D (Mathematical theory of elasticity); A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation); B0290B (Error analysis in numerical methods); B0290P (Differential equations); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximability; asymptotic analysis; bending; consistency errors; design principles; error analysis; finite element analysis; finite element approximations; Helmholtz equations; Hemholtz decomposition; Kirchhoff constraint; optimal errors; post-processing scheme; reduced-shear plate-bending finite elements; reduction operator; Reissner--Mindlin plate model; stress analysis; sufficient conditions; variational formulation", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Alefeld:1997:MMB, author = "G{\"o}tz Alefeld and Ingrid Lenhardt and G{\"u}nter Mayer", title = "On multisplitting methods for band matrices", journal = j-NUM-MATH, volume = "75", number = "3", pages = "267--292", month = jan, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10", MRnumber = "98c:65039", MRreviewer = "De Ren Wang", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075003/70750267.htm; http://science.springer.de/nmee/bibs/7075003/70750267.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Angewandte Math., Karlsruhe Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "band matrices; iteration matrix; iterative methods; linear systems; matrix algebra; multisplitting methods; optimality result; single splitting; spectral radius; underlying coefficient matrix; weighting factors", treatment = "T Theoretical or Mathematical", } @Article{Dellnitz:1997:SAC, author = "Michael Dellnitz and Andreas Hohmann", title = "A subdivision algorithm for the computation of unstable manifolds and global attractors", journal = j-NUM-MATH, volume = "75", number = "3", pages = "293--317", month = jan, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L05 (58F12 65L70)", MRnumber = "98b:65075", MRreviewer = "Timothy Sauer", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075003/70750293.htm; http://science.springer.de/nmee/bibs/7075003/70750293.htm", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B0290F (Interpolation and function approximation); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "Inst. f{\"u}r Angewandte Math., Hamburg Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; convergence of numerical methods; dynamical system; dynamical systems; global attractors; hyperbolic structure; invariant set; moderate dimension; qualitative convergence behavior; set theory; subdivision algorithm; subdivision technique; unstable manifold computation", treatment = "T Theoretical or Mathematical", } @Article{Grune:1997:AGS, author = "Lars Gr{\"u}ne", title = "An adaptive grid scheme for the discrete {Hamilton--Jacobi--Bellman} equation", journal = j-NUM-MATH, volume = "75", number = "3", pages = "319--337", month = jan, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N50 (49L25 49M25)", MRnumber = "98b:65136", MRreviewer = "Svetozar D. Margenov", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075003/70750319.htm; http://science.springer.de/nmee/bibs/7075003/70750319.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C1340D (Discrete control systems); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. f{\"u}r Math., Augsburg Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adapting iteration; adaptive finite difference scheme; adaptive grid scheme; adaptive systems; discrete first order Hamilton--Jacobi--Bellman equation; discrete Hamilton--Jacobi--Bellman equation; discrete systems; finite difference methods; iterative methods; local a posteriori error estimates; numerical examples; state space discretization; two dimensional grids", treatment = "T Theoretical or Mathematical", } @Article{Lu:1997:GWG, author = "Hao Lu", title = "{Galerkin} and weighted {Galerkin} methods for a forward-backward heat equation", journal = j-NUM-MATH, volume = "75", number = "3", pages = "339--356", month = jan, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60 (80A20)", MRnumber = "97m:65180", MRreviewer = "Jacques Rappaz", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075003/70750339.htm; http://science.springer.de/nmee/bibs/7075003/70750339.htm", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290T (Finite element analysis); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Nijmegen Univ., Netherlands", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "continuous finite element methods; diffusion coefficient; error estimates; finite element analysis; forward-backward heat equation; Galerkin method; Galerkin methods; heat; numerical results; numerical solution; parabolic partial differential equations; partial differential equations; simultaneous discretization; time variables; weighted Galerkin methods", treatment = "T Theoretical or Mathematical", } @Article{Nataf:1997:CRS, author = "F. Nataf and F. Nier", title = "Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains", journal = j-NUM-MATH, volume = "75", number = "3", pages = "357--377", month = jan, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55", MRnumber = "1 427 713", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075003/70750357.htm; http://science.springer.de/nmee/bibs/7075003/70750357.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4210L (Formal languages and computational linguistics)", corpsource = "{\'E}cole Polytech., Palaiseau, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "additive Schwarz method; convergence of numerical methods; convergence rate; domain decomposition methods; double sweeps; flow directed sweeps; formal language theory; formal languages; iterative domain decomposition methods; iterative methods; nonoverlapping subdomains; overlapping subdomains; simultaneous updates; unique convergence criterion", treatment = "T Theoretical or Mathematical", } @Article{Sugihara:1997:ODE, author = "Masaaki Sugihara", title = "Optimality of the double exponential formula --- functional analysis approach", journal = j-NUM-MATH, volume = "75", number = "3", pages = "379--395", month = jan, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A55 (65D30)", MRnumber = "97i:41041", MRreviewer = "Kai Diethelm", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075003/70750379.htm; http://science.springer.de/nmee/bibs/7075003/70750379.htm", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C4160 (Numerical integration and differentiation); C4210 (Formal logic)", corpsource = "Dept. of Appl. Phys., Tokyo Univ., Japan", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "characterizing decay rate; decay rate; double exponential formula optimality; error norm; functional analysis; functional analysis approach; integration; lower estimate; minimum error norm; nonexistence theorem; quadratures; real axis; strip region; theorem proving; trapezoidal formula", treatment = "T Theoretical or Mathematical", } @Article{Wilderotter:1997:AOA, author = "Klaus Wilderotter", title = "An asymptotically optimal algorithm for approximating bounded analytic functions", journal = j-NUM-MATH, volume = "75", number = "3", pages = "397--404", month = jan, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A46 (30E10 65E05)", MRnumber = "97k:41045", MRreviewer = "Guillermo L{\'o}pez Lagomasino", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075003/70750397.htm; http://science.springer.de/nmee/bibs/7075003/70750397.htm", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Math. Seminar der Landwirtschaftlichen Fakult{\"a}t, Bonn Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotically optimal algorithm; bounded analytic function approximation; complex plane; continuous functions; error analysis; Fejer points; function approximation; Green capacity; Hardy space; linear algorithm; sampling functions; set theory; simply connected subset; unit ball; unit disk", treatment = "T Theoretical or Mathematical", } @Article{Boffi:1997:ANA, author = "Daniele Boffi and Carlo Lovadina", title = "Analysis of new augmented {Lagrangian} formulations for mixed finite element schemes", journal = j-NUM-MATH, volume = "75", number = "4", pages = "405--419", month = feb, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "98b:65126", MRreviewer = "Reinhard Scholz", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075004/70750405.htm; http://science.springer.de/nmee/bibs/7075004/70750405.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290T (Finite element analysis); C4110 (Error analysis in numerical methods); C4185 (Finite element analysis)", corpsource = "Dipartimento di Matematica, Pavia Univ., Italy", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "augmented Lagrangian formulations; error analysis; finite element analysis; mixed finite element schemes", treatment = "P Practical; T Theoretical or Mathematical", } @Article{deFrutos:1997:ACP, author = "J. de Frutos and J. M. Sanz-Serna", title = "Accuracy and conservation properties in numerical integration: {The} case of the {Korteweg--de Vries} equation", journal = j-NUM-MATH, volume = "75", number = "4", pages = "421--445", month = feb, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M12 (35Q53)", MRnumber = "98a:65124", MRreviewer = "Erwin Schechter", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075004/70750421.htm; http://science.springer.de/nmee/bibs/7075004/70750421.htm", acknowledgement = ack-nhfb, classification = "A0340K (Waves and wave propagation: general mathematical aspects); A4735 (Waves in fluid dynamics); B0220 (Mathematical analysis); B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. de Matematica Aplicada y Computacion, Valladolid Univ., Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "conservation properties; differential equations; error propagation mechanisms; invariant quantities; Korteweg--de Vries equation; numerical integration; qualitative features; soliton problems; solitons; time-dependent differential equations", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Hackbusch:1997:CFE, author = "W. Hackbusch and S. A. Sauter", title = "Composite finite elements for the approximation of {PDEs} on domains with complicated micro-structures", journal = j-NUM-MATH, volume = "75", number = "4", pages = "447--472", month = feb, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65D05 65N12 65N15)", MRnumber = "97k:65251", MRreviewer = "P. Rochus", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075004/70750447.htm; http://science.springer.de/nmee/bibs/7075004/70750447.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); B0290T (Finite element analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Inst. f{\"u}r Inf. und Praktische Math., Kiel Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation property; approximation theory; complicated micro-structures; composite finite elements; finite element analysis; multigrid methods; partial differential equations; PDEs", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Rappaz:1997:SPF, author = "J. Rappaz and J. {Sanchez Hubert} and E. {Sanchez Palencia} and D. Vassiliev", title = "On spectral pollution in the finite element approximation of thin elastic ``membrane'' shells", journal = j-NUM-MATH, volume = "75", number = "4", pages = "473--500", month = feb, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (35P05 65F15 73K15 73V05)", MRnumber = "97k:65259", MRreviewer = "Jean-Luc Guermond", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075004/70750473.htm; http://science.springer.de/nmee/bibs/7075004/70750473.htm", acknowledgement = ack-nhfb, classification = "A0340D (Mathematical theory of elasticity); A4630C (Elasticity); B0290H (Linear algebra); B0290T (Finite element analysis); C4140 (Linear algebra); C4185 (Finite element analysis)", corpsource = "Dept. de Math., {\'E}cole Polytech. F{\'e}d{\'e}rale de Lausanne, Switzerland", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "a posteriori elimination; approximate problems; bending; bending terms; eigenvalues; eigenvalues and eigenfunctions; elasticity; finite element analysis; finite element approximation; Galerkin approximations; membrane approximation; membranes; spectral pollution; thin elastic membrane shells; vibration properties", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Rieder:1997:WMM, author = "Andreas Rieder", title = "A wavelet multilevel method for ill-posed problems stabilized by {Tikhonov} regularization", journal = j-NUM-MATH, volume = "75", number = "4", pages = "501--522", month = feb, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R20 (42C15 65R30)", MRnumber = "97k:65299", MRreviewer = "Gustaf Gripenberg", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075004/70750501.htm; http://science.springer.de/nmee/bibs/7075004/70750501.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4180 (Integral equations); C4190 (Other numerical methods)", corpsource = "Fachbereich Math., Saarlandes Univ., Saarbrucken, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "additive Schwarz iteration; discretization schemes; ill-posed problems; integral equations; iterative method; iterative methods; numerical experiments; numerical stability; spline functions; splines (mathematics); stability; Tikhonov regularization; wavelet multilevel method; wavelet transforms", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Wagner:1997:SCM, author = "C. Wagner and W. Kinzelbach and G. Wittum", title = "{Schur-complement} multigrid. {A} robust method for groundwater flow and transport problems", journal = j-NUM-MATH, volume = "75", number = "4", pages = "523--545", month = feb, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76M25 (65M55 65N55 76Rxx 76S05)", MRnumber = "97m:76106", MRreviewer = "Jian-Ping Zhu", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7075004/70750523.htm; http://science.springer.de/nmee/bibs/7075004/70750523.htm", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C7340 (Geophysics computing)", corpsource = "Inst. f{\"u}r Computeranwendungen, Stuttgart Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convection; convection-diffusion problems; convergence of numerical methods; convergence rate; decontamination; differential equations; diffusion; flushing; geophysics computing; groundwater; groundwater flow; groundwater transport problems; heterogeneous porous medium; hydraulic conductivity distribution; robust method; Schur-complement multigrid method; statistical properties; strongly discontinuous coefficients; water pollution", treatment = "T Theoretical or Mathematical", } @Article{Abgrall:1997:UME, author = "R{\'e}mi Abgrall and Thomas Sonar", title = "On the use of {Muhlbach} expansions in the recovery step of {ENO} methods", journal = j-NUM-MATH, volume = "76", number = "1", pages = "1--25", month = mar, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Mxx (76Mxx)", MRnumber = "1 438 680", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076001/70760001.htm; http://science.springer.de/nmee/bibs/7076001/70760001.htm", acknowledgement = ack-nhfb, classification = "A0210 (Algebra, set theory, and graph theory); A0260 (Numerical approximation and analysis); A4710 (General fluid dynamics theory, simulation and other computational methods); A4740N (Shock-wave interactions)", corpsource = "Inst. Nat. de Recherche en Inf. et Autom., Sophia Antipolis, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "cell average data; compressible flow; compressible fluid flow; essentially nonoscillatory shock capturing methods; flow simulation; interpolation; interpolation theory; Muhlbach expansions; Newton form recovery polynomials; Newton method; numerical simulation; numerical stability; numerically stable polynomials; polynomials; recovery step; shock waves; triangular meshes", treatment = "T Theoretical or Mathematical", } @Article{Allaire:1997:SOH, author = "Gr{\'e}goire Allaire and Eric Bonnetier and Gilles Francfort and Fran{\c{c}}ois Jouve", title = "Shape optimization by the homogenization method", journal = j-NUM-MATH, volume = "76", number = "1", pages = "27--68", month = mar, year = "1997", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050253", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73K40 (49Q15 65K10 73B27 73V05 73V25)", MRnumber = "98a:73046", MRreviewer = "Robert V. Kohn", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076001/70760027.htm; http://science.springer.de/nmee/bibs/7076001/70760027.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Torrens:1997:EAP, author = "Juan Jos{\'e} Torrens", title = "Sur l'erreur d'approximation par {\'e}l{\'e}ments finis en utilisant la m{\'e}thode des plaquettes splines. {(French) [{On} the finite element approximation error using the ``plaquette splines'' method]}", journal = j-NUM-MATH, volume = "76", number = "1", pages = "69--85", month = mar, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A63 (41A15 65D07)", MRnumber = "98d:41043", MRreviewer = "N. N. Vakhania", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076001/70760069.htm; http://science.springer.de/nmee/bibs/7076001/70760069.htm", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4185 (Finite element analysis)", corpsource = "Dept. de Matematica e Inf., Univ. Publica de Navarra, Pamplona, Spain", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "approximation theory; class C/sup k/ surface construction; degrees of freedom; error analysis; error bounds; finite element analysis; finite element approximation error; functions; Lagrange data; plaquettes splines method; Sobolev space; splines (mathematics); surface fitting", language = "French", treatment = "T Theoretical or Mathematical", } @Article{Yserentant:1997:NCP, author = "Harry Yserentant", title = "A new class of particle methods", journal = j-NUM-MATH, volume = "76", number = "1", pages = "87--109", month = mar, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76M25 (65M60)", MRnumber = "98e:76093", MRreviewer = "Hans Babovsky", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076001/70760087.htm; http://science.springer.de/nmee/bibs/7076001/70760087.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340G (Fluid dynamics: general mathematical aspects); A4620 (Continuum mechanics); A4710 (General fluid dynamics theory, simulation and other computational methods); A4740 (Compressible flows; shock and detonation phenomena)", corpsource = "Math. Inst., Tubingen Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "angular momentum conservation; compressible flow; continuum mechanics; energy conservation; finite extension; flow simulation; fluid mechanics; force laws; interaction forces; mass conservation; momentum conservation; numerical analysis; numerical methods; particle methods; regularized stress tensor; spatial rotation; spin", treatment = "T Theoretical or Mathematical", } @Article{Yserentant:1997:PMC, author = "Harry Yserentant", title = "A particle model of compressible fluids", journal = j-NUM-MATH, volume = "76", number = "1", pages = "111--142", month = mar, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "76M25 (65M60 76N10)", MRnumber = "98e:76094", MRreviewer = "Hans Babovsky", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076001/70760111.htm; http://science.springer.de/nmee/bibs/7076001/70760111.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General fluid dynamics theory, simulation and other computational methods); A4740 (Compressible flows; shock and detonation phenomena)", corpsource = "Math. Inst., Tubingen Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "adiabatic flows; compressible flow; compressible fluids; entropy; Euler equations; exact entropy conservation; exact mass conservation; external forces; finite extension; fluid mechanics; forces; internal forces; inviscid case; mean local particle displacement; numerical analysis; particle model; particle size; rigid body motions; small mass packets; spatial mass motion", treatment = "T Theoretical or Mathematical", } @Article{Andra:1997:ISG, author = "H. Andr{\"a} and E. Schnack", title = "Integration of singular {Galerkin-type} boundary element integrals for {3D} elasticity problems", journal = j-NUM-MATH, volume = "76", number = "2", pages = "143--165", month = apr, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N38 (65D30 73V10)", MRnumber = "98b:65134", MRreviewer = "I. N. Molchanov", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076002/70760143.htm; http://science.springer.de/nmee/bibs/7076002/70760143.htm", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630C (Elasticity); B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation)B0290T (Finite element analysis); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation); C4180 (Integral equations); C4185 (Finite element analysis)", corpsource = "Inst. of Solid Mech., Karlsruhe Univ., Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "3D elasticity; boundary element integrals; boundary integral equation; boundary integral equations; boundary-elements methods; boundary-value problems; elasticity; error analysis; Galerkin approximation; Galerkin method; Galerkin-type; integration; mixed boundary value problem; quadrature errors; singular four-dimensional integrals", treatment = "T Theoretical or Mathematical", } @Article{Chambolle:1997:IRT, author = "Antonin Chambolle and Pierre-Louis Lions", title = "Image recovery via total variation minimization and related problems", journal = j-NUM-MATH, volume = "76", number = "2", pages = "167--188", month = apr, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (49J99 68U10)", MRnumber = "98c:65099", MRreviewer = "Tom{\'a}{\v{s}} Roub{\'\i}{\v{c}}ek", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076002/70760167.htm; http://science.springer.de/nmee/bibs/7076002/70760167.htm", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B6140C (Optical information, image and video signal processing); C1250 (Pattern recognition); C4150 (Nonlinear and functional equations); C5260B (Computer vision and image processing techniques)", corpsource = "CNRS, Univ. de Paris-Dauphine, France", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "constrained minimization; convex functionals; functional equations; image denoising; image reconstruction; image recovery; Lagrangian functional; total variation minimization", treatment = "T Theoretical or Mathematical", } @Article{Dai:1997:NMF, author = "Hua Dai and Peter Lancaster", title = "Numerical methods for finding multiple eigenvalues of matrices depending on parameters", journal = j-NUM-MATH, volume = "76", number = "2", pages = "189--208", month = apr, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (15A18)", MRnumber = "98a:65048", MRreviewer = "George D. Poole", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076002/70760189.htm; http://science.springer.de/nmee/bibs/7076002/70760189.htm", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0290H (Linear algebra); C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Nanjing Univ. of Aeronaut. and Astron., China", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "convergence of numerical methods; eigenvalues and eigenfunctions; geometric multiplicity; matrix decomposition; multiple eigenvalue; multiple eigenvalues; parameters; QR decomposition; square matrix", treatment = "T Theoretical or Mathematical", } @Article{Naiman:1997:NCG, author = "Aaron E. Naiman and Ivo M. Babu{\v{s}}ka and Howard C. Elman", title = "A note on conjugate gradient convergence", journal = j-NUM-MATH, volume = "76", number = "2", pages = "209--230", month = apr, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65L10)", MRnumber = "97m:65070", MRreviewer = "S. F. McCormick", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076002/70760209.htm; http://science.springer.de/nmee/bibs/7076002/70760209.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Appl. Math., Jerusalem Coll. of Technol., Israel", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "asymptotic behavior; asymptotic convergence; conjugate gradient convergence; conjugate gradient methods; convergence of numerical methods; discrete Poisson equation; error analysis; linear system of equations", treatment = "T Theoretical or Mathematical", } @Article{Reich:1997:HOS, author = "Sebastian Reich", title = "On higher-order semi-explicit symplectic partitioned {Runge--Kutta} methods for constrained {Hamiltonian} systems", journal = j-NUM-MATH, volume = "76", number = "2", pages = "231--247", month = apr, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (34A09 70-08 70F20 70H05)", MRnumber = "98c:65128", MRreviewer = "Ram Krishan Sharma", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076002/70760231.htm; http://science.springer.de/nmee/bibs/7076002/70760231.htm", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Konrad-Zuse-Zentrum, Belin, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "backward error analysis; constrained Hamiltonian systems; differential equations; error analysis; higher-order; holonomic constraints; partitioned Runge--Kutta methods; Runge--Kutta methods; semi-explicit; symplectic partitioned Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Sun:1997:RBA, author = "Ji-guang Sun", title = "Residual bounds of approximate solutions of the algebraic {Riccati} equation", journal = j-NUM-MATH, volume = "76", number = "2", pages = "249--263", month = apr, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "93B40 (65J15)", MRnumber = "98e:93050", MRreviewer = "Petko Petkov", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076002/70760249.htm; http://science.springer.de/nmee/bibs/7076002/70760249.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Umea Univ., Sweden", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "algebraic Riccati equation; approximate solution; approximate solutions; forward perturbation bound; function approximation; Hermitian; linear algebra; optimal backward perturbation; positive semi-definite solution; residual bounds; Riccati equations", treatment = "T Theoretical or Mathematical", } @Article{Wittum:1997:SI, author = "G. Wittum", title = "Shifted iterations", journal = j-NUM-MATH, volume = "76", number = "2", pages = "265--278", month = apr, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65F35)", MRnumber = "98a:65179", MRreviewer = "Weimin Han", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076002/70760265.htm; http://science.springer.de/nmee/bibs/7076002/70760265.htm", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Computeranwendungen, Stuttgart, Germany", fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", keywords = "diagonal dominance; incomplete decompositions; initial matrix; iteration; matrix decomposition; numerical stability; positive definite matrices; residual matrix; stability", treatment = "T Theoretical or Mathematical", } @Article{Bai:1997:IFP, author = "Zhaojun Bai and James Demmel and Ming Gu", title = "An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems", journal = j-NUM-MATH, volume = "76", number = "3", pages = "279--308", month = may, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "98d:65043", MRreviewer = "Guo Rong Wang", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076003/70760279.htm; http://science.springer.de/nmee/bibs/7076003/70760279.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Benzi:1997:EUS, author = "Michele Benzi and Daniel B. Szyld", title = "Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods", journal = j-NUM-MATH, volume = "76", number = "3", pages = "309--321", month = may, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (15A06)", MRnumber = "98c:65041", MRreviewer = "Jin Yun Yuan", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076003/70760309.htm; http://science.springer.de/nmee/bibs/7076003/70760309.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Chen:1997:MFE, author = "Zhiming Chen", title = "Mixed finite element methods for a dynamical {Ginzburg--Landau} model in superconductivity", journal = j-NUM-MATH, volume = "76", number = "3", pages = "323--353", month = may, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (82D55)", MRnumber = "98d:65139", MRreviewer = "J. W. Jerome", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076003/70760323.htm; http://science.springer.de/nmee/bibs/7076003/70760323.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Elschner:1997:CMM, author = "J. Elschner and Y. Jeon and I. H. Sloan and E. P. Stephan", title = "The collocation method for mixed boundary value problems on domains with curved polygonal boundaries", journal = j-NUM-MATH, volume = "76", number = "3", pages = "355--381", month = may, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx", MRnumber = "1 452 513", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076003/70760355.htm; http://science.springer.de/nmee/bibs/7076003/70760355.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Park:1997:SAF, author = "Haesun Park and Lars Eld{\'e}n", title = "Stability analysis and fast algorithms for triangularization of {Toeplitz} matrices", journal = j-NUM-MATH, volume = "76", number = "3", pages = "383--402", month = may, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F05", MRnumber = "98d:65033", MRreviewer = "Raffaella Pavani", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076003/70760383.htm; http://science.springer.de/nmee/bibs/7076003/70760383.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sakai:1997:ISP, author = "Manabu Sakai", title = "Inflections and singularity on parametric rational cubic curves", journal = j-NUM-MATH, volume = "76", number = "3", pages = "403--417", month = may, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D10 (14H45 65D07)", MRnumber = "98d:65018", MRreviewer = "Luis Hern{\'a}ndez Encinas", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076003/70760403.htm; http://science.springer.de/nmee/bibs/7076003/70760403.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Farhloul:1997:DHM, author = "Mohamed Farhloul and Michel Fortin", title = "Dual hybrid methods for the elasticity and the {Stokes} problems: a unified approach", journal = j-NUM-MATH, volume = "76", number = "4", pages = "419--440", month = jun, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (73V05 76M10)", MRnumber = "98f:65106", MRreviewer = "Ji Chun Li", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076004/70760419.htm; http://science.springer.de/nmee/bibs/7076004/70760419.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hairer:1997:LSB, author = "E. Hairer and Ch. Lubich", title = "The life-span of backward error analysis for numerical integrators", journal = j-NUM-MATH, volume = "76", number = "4", pages = "441--462", month = jun, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L70 (58F14 65L05 70-08 70H05)", MRnumber = "98g:65074", MRreviewer = "Boles{\l}aw Kacewicz", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076004/70760441.htm; http://science.springer.de/nmee/bibs/7076004/70760441.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{He:1997:DUD, author = "C. He", title = "On the distance to uncontrollability and the distance to instability and their relation to some condition numbers in control", journal = j-NUM-MATH, volume = "76", number = "4", pages = "463--477", month = jun, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "93B05 (65F35 93B40)", MRnumber = "98g:93004", MRreviewer = "Petko Petkov", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076004/70760463.htm; http://science.springer.de/nmee/bibs/7076004/70760463.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kim:1997:EDC, author = "Sang Dong Kim and Seokchan Kim", title = "Exponential decay of {$C^1$}-cubic splines vanishing at two symmetric points in each knot interval", journal = j-NUM-MATH, volume = "76", number = "4", pages = "479--488", month = jun, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A15 (65D07)", MRnumber = "98d:41013", MRreviewer = "Hans-J{\"o}rg Wenz", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076004/70760479.htm; http://science.springer.de/nmee/bibs/7076004/70760479.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Papamichael:1997:ACM, author = "N. Papamichael and I. E. Pritsker and E. B. Saff and N. S. Stylianopoulos", title = "Approximation of conformal mappings of annular regions", journal = j-NUM-MATH, volume = "76", number = "4", pages = "489--513", month = jun, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65E05 (30C30)", MRnumber = "98e:65016", MRreviewer = "Matti Vuorinen", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076004/70760489.htm; http://science.springer.de/nmee/bibs/7076004/70760489.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Uhlig:1997:ABT, author = "Frank Uhlig", title = "The {$\sc D\sc Q\sc R$} algorithm, basic theory, convergence, and conditional stability", journal = j-NUM-MATH, volume = "76", number = "4", pages = "515--553", month = jun, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (15A12 15A18 65F35)", MRnumber = "98g:65033", MRreviewer = "George D. Poole", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7076004/70760515.htm; http://science.springer.de/nmee/bibs/7076004/70760515.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Barrett:1997:FEA, author = "John W. Barrett and James F. Blowey", title = "Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy", journal = j-NUM-MATH, volume = "77", number = "1", pages = "1--34", month = jul, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60", MRnumber = "1 464 653", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077001/70770001.htm; http://science.springer.de/nmee/bibs/7077001/70770001.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bialecki:1997:MAM, author = "Bernard Bialecki and Maksymilian Dryja", title = "Multilevel additive and multiplicative methods for orthogonal spline collocation problems", journal = j-NUM-MATH, volume = "77", number = "1", pages = "35--58", month = jul, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65F10)", MRnumber = "1 464 654", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077001/70770035.htm; http://science.springer.de/nmee/bibs/7077001/70770035.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dryanov:1997:QFM, author = "D. Dryanov and V. Vatchev", title = "On quadrature formulae with maximal trigonometric degree of precision", journal = j-NUM-MATH, volume = "77", number = "1", pages = "59--82", month = jul, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65D32", MRnumber = "1 464 655", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077001/70770059.htm; http://science.springer.de/nmee/bibs/7077001/70770059.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kim:1997:FDP, author = "Hong Oh Kim and Sang Dong Kim and Yong Hun Lee", title = "Finite difference preconditioning cubic spline collocation method of elliptic equations", journal = j-NUM-MATH, volume = "77", number = "1", pages = "83--103", month = jul, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N35 (65F35)", MRnumber = "1 464 656", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077001/70770083.htm; http://science.springer.de/nmee/bibs/7077001/70770083.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Waldron:1997:IEF, author = "Shayne Waldron", title = "Integral error formulae for the scale of mean value interpolations which includes {Kergin} and {Hakopian} interpolation", journal = j-NUM-MATH, volume = "77", number = "1", pages = "105--122", month = jul, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41A05 (41A63 65D15)", MRnumber = "98e:41002", MRreviewer = "Dimitar Kolev Dimitrov", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077001/70770105.htm; http://science.springer.de/nmee/bibs/7077001/70770105.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zouraris:1997:CRK, author = "Georgios E. Zouraris", title = "Convergence of {Runge--Kutta} approximations for parabolic problems with {Neumann} boundary conditions", journal = j-NUM-MATH, volume = "77", number = "1", pages = "123--142", month = jul, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M60", MRnumber = "1 464 658", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077001/70770123.htm; http://science.springer.de/nmee/bibs/7077001/70770123.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bereux:1997:RTR, author = "Fran{\c{c}}ois Bereux and Lionel Sainsaulieu", title = "A {Roe-type Riemann} solver for hyperbolic systems with relaxation based on time-dependent wave decomposition", journal = j-NUM-MATH, volume = "77", number = "2", pages = "143--185", month = aug, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M06 (35L60 76M25 76N15)", MRnumber = "98d:65108", MRreviewer = "R{\'e}mi Vaillancourt", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077002/70770143.htm; http://science.springer.de/nmee/bibs/7077002/70770143.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Carstensen:1997:ACF, author = "C. Carstensen and S. A. Funken and E. P. Stephan", title = "On the adaptive coupling of {FEM} and {BEM} in $2$-d-elasticity", journal = j-NUM-MATH, volume = "77", number = "2", pages = "187--221", month = aug, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V05 (45L05 65Nxx 65R20 73V10)", MRnumber = "1 464 660", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077002/70770187.htm; http://science.springer.de/nmee/bibs/7077002/70770187.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Fernandes:1997:EOS, author = "Ryan I. Fernandes", title = "Efficient orthogonal spline collocation methods for solving linear second order hyperbolic problems on rectangles", journal = j-NUM-MATH, volume = "77", number = "2", pages = "223--241", month = aug, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65M70", MRnumber = "1 464 661", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077002/70770223.htm; http://science.springer.de/nmee/bibs/7077002/70770223.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gunzburger:1997:AAO, author = "Max D. Gunzburger and L. Steven Hou and S. S. Ravindran", title = "Analysis and approximation of optimal control problems for a simplified {Ginzburg--Landau} model of superconductivity", journal = j-NUM-MATH, volume = "77", number = "2", pages = "243--268", month = aug, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "49Jxx (35Q55 65Nxx 81Q05 82D55)", MRnumber = "1 464 662", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077002/70770243.htm; http://science.springer.de/nmee/bibs/7077002/70770243.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Leimkuhler:1997:OIL, author = "Benedict J. Leimkuhler and Erik S. {Van Vleck}", title = "Orthosymplectic integration of linear {Hamiltonian} systems", journal = j-NUM-MATH, volume = "77", number = "2", pages = "269--282", month = aug, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Lxx (70-08 70H05)", MRnumber = "1 464 663", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077002/70770269.htm; http://science.springer.de/nmee/bibs/7077002/70770269.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Borwein:1997:SAD, author = "J. M. Borwein and W. Sun", title = "The stability analysis of dynamic {SPECT} systems", journal = j-NUM-MATH, volume = "77", number = "3", pages = "283--298", month = sep, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F35 (68U10)", MRnumber = "1 469 673", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077003/70770283.htm; http://science.springer.de/nmee/bibs/7077003/70770283.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Chapelle:1997:LFA, author = "Dominique Chapelle", title = "A locking-free approximation of curved rods by straight beam elements", journal = j-NUM-MATH, volume = "77", number = "3", pages = "299--322", month = sep, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V05 (65N30 73K05)", MRnumber = "98f:73035", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077003/70770299.htm; http://science.springer.de/nmee/bibs/7077003/70770299.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Fassbender:1997:IUE, author = "Heike Fa{\ss}bender", title = "Inverse unitary eigenproblems and related orthogonal functions", journal = j-NUM-MATH, volume = "77", number = "3", pages = "323--345", month = sep, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15", MRnumber = "1 469 675", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077003/70770323.htm; http://science.springer.de/nmee/bibs/7077003/70770323.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Han:1997:ABC, author = "H. Han and W. Bao", title = "The artificial boundary conditions for incompressible materials on an unbounded domain", journal = j-NUM-MATH, volume = "77", number = "3", pages = "347--363", month = sep, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V05 (65N30 73C02)", MRnumber = "98f:73037", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077003/70770347.htm; http://science.springer.de/nmee/bibs/7077003/70770347.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Karlsen:1997:OSM, author = "Kenneth Hvistendahl Karlsen and Nils Henrik Risebro", title = "An operator splitting method for nonlinear convection-diffusion equations", journal = j-NUM-MATH, volume = "77", number = "3", pages = "365--382", month = sep, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Mxx (35Lxx)", MRnumber = "1 469 677", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077003/70770365.htm; http://science.springer.de/nmee/bibs/7077003/70770365.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sarkis:1997:NCS, author = "Marcus Sarkis", title = "Nonstandard coarse spaces and {Schwarz} methods for elliptic problems with discontinuous coefficients using non-conforming elements", journal = j-NUM-MATH, volume = "77", number = "3", pages = "383--406", month = sep, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N55)", MRnumber = "1 469 678", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077003/70770383.htm; http://science.springer.de/nmee/bibs/7077003/70770383.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ziegler:1997:GBB, author = "Markus Ziegler", title = "Generalized biorthogonal bases and tridiagonalisation of matrices", journal = j-NUM-MATH, volume = "77", number = "3", pages = "407--421", month = sep, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (93B17)", MRnumber = "1 469 679", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077003/70770407.htm; http://science.springer.de/nmee/bibs/7077003/70770407.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Caselles:1997:MSG, author = "Vicent Caselles and Ron Kimmel and Guillermo Sapiro and Catalina Sbert", title = "Minimal surfaces: a geometric three dimensional segmentation approach", journal = j-NUM-MATH, volume = "77", number = "4", pages = "423--451", month = oct, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "53Cxx (65D17 65Y25)", MRnumber = "1 473 390", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077004/70770423.htm; http://science.springer.de/nmee/bibs/7077004/70770423.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Elliott:1997:STE, author = "David Elliott and Ezio Venturino", title = "Sigmoidal transformations and the {Euler--Maclaurin} expansion for evaluating certain {Hadamard} finite-part integrals", journal = j-NUM-MATH, volume = "77", number = "4", pages = "453--465", month = oct, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Bxx (65Dxx)", MRnumber = "1 473 391", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077004/70770453.htm; http://science.springer.de/nmee/bibs/7077004/70770453.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Guglielmi:1997:ASP, author = "Nicola Guglielmi", title = "On the asymptotic stability properties of {Runge--Kutta} methods for delay differential equations", journal = j-NUM-MATH, volume = "77", number = "4", pages = "467--485", month = oct, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20 (65L06)", MRnumber = "98f:65081", MRreviewer = "Philip W. Sharp", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077004/70770467.htm; http://science.springer.de/nmee/bibs/7077004/70770467.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hanke:1997:SCR, author = "Martin Hanke", title = "Superlinear convergence rates for the {Lanczos} method applied to elliptic operators", journal = j-NUM-MATH, volume = "77", number = "4", pages = "487--499", month = oct, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (65N25)", MRnumber = "1 473 393", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077004/70770487.htm; http://science.springer.de/nmee/bibs/7077004/70770487.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Liu:1997:DRH, author = "Kang-Man Liu and Ivo Babu{\v{s}}ka", title = "Dimensional reduction for {Helmholtz}'s equation on a bounded domain", journal = j-NUM-MATH, volume = "77", number = "4", pages = "501--533", month = oct, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N12 (65N30)", MRnumber = "1 473 394", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077004/70770501.htm; http://science.springer.de/nmee/bibs/7077004/70770501.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stoffer:1997:QBS, author = "Daniel Stoffer", title = "On the qualitative behaviour of symplectic integrators. {Part I}: Perturbed linear systems", journal = j-NUM-MATH, volume = "77", number = "4", pages = "535--547", month = oct, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L06 (34A45 70-08)", MRnumber = "98f:65075", MRreviewer = "Benedict J. Leimkuhler", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077004/70770535.htm; http://science.springer.de/nmee/bibs/7077004/70770535.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zennaro:1997:ASA, author = "M. Zennaro", title = "Asymptotic stability analysis of {Runge--Kutta} methods for nonlinear systems of delay differential equations", journal = j-NUM-MATH, volume = "77", number = "4", pages = "549--563", month = oct, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L20 (65L06)", MRnumber = "98f:65082", MRreviewer = "Philip W. Sharp", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7077004/70770549.htm; http://science.springer.de/nmee/bibs/7077004/70770549.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bertoluzza:1997:IEW, author = "Silvia Bertoluzza", title = "Interior estimates for the wavelet {Galerkin} method", journal = j-NUM-MATH, volume = "78", number = "1", pages = "1--20", month = nov, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx", MRnumber = "1 483 566", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078001/70780001.htm; http://science.springer.de/nmee/bibs/7078001/70780001.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Li:1997:SNA, author = "Zhiping Li", title = "Simultaneous numerical approximation of microstructures and relaxed minimizers", journal = j-NUM-MATH, volume = "78", number = "1", pages = "21--38", month = nov, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V25 (49Q20 73C50 73S10)", MRnumber = "1 483 567", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078001/70780021.htm; http://science.springer.de/nmee/bibs/7078001/70780021.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Meini:1997:NCR, author = "Beatrice Meini", title = "New convergence results on functional iteration techniques for the numerical solution of {$M/G/1$} type {Markov} chains", journal = j-NUM-MATH, volume = "78", number = "1", pages = "39--58", month = nov, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "60J10 (15A24 15A51 60K25 65U05)", MRnumber = "98g:60122", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078001/70780039.htm; http://science.springer.de/nmee/bibs/7078001/70780039.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sauer:1997:PIM, author = "Thomas Sauer", title = "Polynomial interpolation of minimal degree", journal = j-NUM-MATH, volume = "78", number = "1", pages = "59--85", month = nov, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41Axx (65Dxx)", MRnumber = "1 483 569", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078001/70780059.htm; http://science.springer.de/nmee/bibs/7078001/70780059.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schropp:1997:NMP, author = "J. Schropp", title = "A note on minimization problems and multistep methods", journal = j-NUM-MATH, volume = "78", number = "1", pages = "87--101", month = nov, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Lxx (34A45 34Cxx 90C30)", MRnumber = "1 483 570", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078001/70780087.htm; http://science.springer.de/nmee/bibs/7078001/70780087.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Starke:1997:FVA, author = "Gerhard Starke", title = "Field-of-values analysis of preconditioned iterative methods for nonsymmetric elliptic problems", journal = j-NUM-MATH, volume = "78", number = "1", pages = "103--117", month = nov, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx", MRnumber = "1 483 571", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078001/70780103.htm; http://science.springer.de/nmee/bibs/7078001/70780103.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wagner:1997:TFFa, author = "Christian Wagner", title = "Tangential frequency filtering decompositions for symmetric matrices", journal = j-NUM-MATH, volume = "78", number = "1", pages = "119--142", month = nov, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Fxx", MRnumber = "1 483 572", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078001/70780119.htm; http://science.springer.de/nmee/bibs/7078001/70780119.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wagner:1997:TFFb, author = "Christian Wagner", title = "Tangential frequency filtering decompositions for unsymmetric matrices", journal = j-NUM-MATH, volume = "78", number = "1", pages = "143--163", month = nov, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Fxx", MRnumber = "1 483 573", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078001/70780143.htm; http://science.springer.de/nmee/bibs/7078001/70780143.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{John:1997:NSD, author = "V. John and J. M. Maubach and L. Tobiska", title = "Nonconforming streamline-diffusion-finite-element-methods for convection-diffusion problems", journal = j-NUM-MATH, volume = "78", number = "2", pages = "165--188", month = dec, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N15 76M10 76Rxx)", MRnumber = "1 485 996", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078002/70780165.htm; http://science.springer.de/nmee/bibs/7078002/70780165.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lu:1997:CAB, author = "Hao Lu and Owe Axelsson", title = "Conditioning analysis of block incomplete factorizations and its application to elliptic equations", journal = j-NUM-MATH, volume = "78", number = "2", pages = "189--209", month = dec, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx (65Fxx)", MRnumber = "1 485 997", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078002/70780189.htm; http://science.springer.de/nmee/bibs/7078002/70780189.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sauter:1997:QGB, author = "Stefan A. Sauter and Christoph Schwab", title = "Quadrature for $hp$-{Galerkin BEM} in {${\bf R}^3$}", journal = j-NUM-MATH, volume = "78", number = "2", pages = "211--258", month = dec, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx (45L05 65Dxx 73V10)", MRnumber = "1 485 998", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078002/70780211.htm; http://science.springer.de/nmee/bibs/7078002/70780211.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Shi:1997:NSP, author = "Zhong-Ci Shi and Bin Jiang and Weimin Xue", title = "A new superconvergence property of {Wilson} nonconforming finite element", journal = j-NUM-MATH, volume = "78", number = "2", pages = "259--268", month = dec, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "1 485 999", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078002/70780259.htm; http://science.springer.de/nmee/bibs/7078002/70780259.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stevenson:1997:RHB, author = "Rob Stevenson", title = "A robust hierarchical basis preconditioner on general meshes", journal = j-NUM-MATH, volume = "78", number = "2", pages = "269--303", month = dec, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx (65Fxx)", MRnumber = "1 486 000", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078002/70780269.htm; http://science.springer.de/nmee/bibs/7078002/70780269.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wagner:1997:AF, author = "Christian Wagner and Gabriel Wittum", title = "Adaptive filtering", journal = j-NUM-MATH, volume = "78", number = "2", pages = "305--328", month = dec, year = "1997", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Fxx (65Nxx)", MRnumber = "1 486 001", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078002/70780305.htm; http://science.springer.de/nmee/bibs/7078002/70780305.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Benner:1998:NSS, author = "Peter Benner and Volker Mehrmann and Hongguo Xu", title = "A numerically stable, structure preserving method for computing the eigenvalues of real {Hamiltonian} or symplectic pencils", journal = j-NUM-MATH, volume = "78", number = "3", pages = "329--358", month = jan, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F15 (15A18 15A22)", MRnumber = "1 603 338", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078003/70780329.htm; http://science.springer.de/nmee/bibs/7078003/70780329.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bornemann:1998:MIC, author = "Folkmar A. Bornemann and Christof Sch{\"u}tte", title = "A mathematical investigation of the {Car--Parrinello} method", journal = j-NUM-MATH, volume = "78", number = "3", pages = "359--376", month = jan, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "81V55 (58Exx 70Fxx 70Hxx 81Q15)", MRnumber = "1 603 342", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078003/70780359.htm; http://science.springer.de/nmee/bibs/7078003/70780359.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Delfour:1998:FMA, author = "Michel Delfour and Fran{\c{c}}ois Dubeau", title = "Fixed mesh approximation of ordinary differential equations with impulses", journal = j-NUM-MATH, volume = "78", number = "3", pages = "377--401", month = jan, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Lxx (34A37 34A45)", MRnumber = "1 603 346", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078003/70780377.htm; http://science.springer.de/nmee/bibs/7078003/70780377.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Feistauer:1998:FEA, author = "Miloslav Feistauer and Karel Najzar", title = "Finite element approximation of a problem with a nonlinear {Newton} boundary condition", journal = j-NUM-MATH, volume = "78", number = "3", pages = "403--425", month = jan, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx", MRnumber = "1 603 350", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078003/70780403.htm; http://science.springer.de/nmee/bibs/7078003/70780403.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lawton:1998:CMC, author = "W. Lawton and S. L. Lee and Zuowei Shen", title = "Convergence of multidimensional cascade algorithm", journal = j-NUM-MATH, volume = "78", number = "3", pages = "427--438", month = jan, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "41Axx (42Cxx 65Dxx)", MRnumber = "1 603 354", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078003/70780427.htm; http://science.springer.de/nmee/bibs/7078003/70780427.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lyness:1998:CIC, author = "J. N. Lyness and U. R{\"u}de", title = "Cubature of integrands containing derivatives", journal = j-NUM-MATH, volume = "78", number = "3", pages = "439--461", month = jan, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Dxx", MRnumber = "1 603 358", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078003/70780439.htm; http://science.springer.de/nmee/bibs/7078003/70780439.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sun:1998:RBA, author = "Ji-guang Sun", title = "Residual bounds of approximate solutions of the discrete-time algebraic {Riccati} equation", journal = j-NUM-MATH, volume = "78", number = "3", pages = "463--478", month = jan, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "93B40 (15A24 65Fxx)", MRnumber = "1 603 283", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078003/70780463.htm; http://science.springer.de/nmee/bibs/7078003/70780463.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Verfurth:1998:RPE, author = "R. Verf{\"u}rth", title = "Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation", journal = j-NUM-MATH, volume = "78", number = "3", pages = "479--493", month = jan, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx (35Jxx 35K57)", MRnumber = "1 603 287", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078003/70780479.htm; http://science.springer.de/nmee/bibs/7078003/70780479.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Chen:1998:SMF, author = "Hongsen Chen and Richard Ewing and Raytcho Lazarov", title = "Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data", journal = j-NUM-MATH, volume = "78", number = "4", pages = "495--521", month = feb, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Mxx", MRnumber = "1 606 312", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078004/70780495.htm; http://science.springer.de/nmee/bibs/7078004/70780495.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Crouzeix:1998:AEE, author = "Michel Crouzeix and Francisco-Javier Sayas", title = "Asymptotic expansions of the error of spline {Galerkin} boundary element methods", journal = j-NUM-MATH, volume = "78", number = "4", pages = "523--547", month = feb, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx", MRnumber = "1 606 316", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078004/70780523.htm; http://science.springer.de/nmee/bibs/7078004/70780523.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hegland:1998:MFI, author = "M. Hegland and R. S. Anderssen", title = "A mollification framework for improperly posed problems", journal = j-NUM-MATH, volume = "78", number = "4", pages = "549--575", month = feb, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Jxx", MRnumber = "1 606 320", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078004/70780549.htm; http://science.springer.de/nmee/bibs/7078004/70780549.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Khoromskij:1998:FIS, author = "B. N. Khoromskij and G. Schmidt", title = "A fast interface solver for the biharmonic {Dirichlet} problem on polygonal domains", journal = j-NUM-MATH, volume = "78", number = "4", pages = "577--596", month = feb, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx", MRnumber = "1 606 245", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078004/70780577.htm; http://science.springer.de/nmee/bibs/7078004/70780577.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lemou:1998:MEF, author = "M. Lemou", title = "Multipole expansions for the {Fokker--Planck--Landau} operator", journal = j-NUM-MATH, volume = "78", number = "4", pages = "597--618", month = feb, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "82C31 (82C22)", MRnumber = "1 606 249", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078004/70780597.htm; http://science.springer.de/nmee/bibs/7078004/70780597.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sonar:1998:DGN, author = "Thomas Sonar and Endre S{\"u}li", title = "A dual graph-norm refinement indicator for finite volume approximations of the {Euler} equations", journal = j-NUM-MATH, volume = "78", number = "4", pages = "619--658", month = feb, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Mxx (76Mxx 76Nxx)", MRnumber = "1 606 253", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/7078004/70780619.htm; http://science.springer.de/nmee/bibs/7078004/70780619.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Buss:1998:PMR, author = "J. F. Buss and R. B. Simpson", title = "Planar mesh refinement cannot be both local and regular", journal = j-NUM-MATH, volume = "79", number = "1", pages = "1--10", month = mar, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N50", MRnumber = "1 608 405", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079001/80790001.htm; http://science.springer.de/nmee/bibs/8079001/80790001.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Demkowicz:1998:CIE, author = "L. Demkowicz and K. Gerdes", title = "Convergence of the infinite element methods for the {Helmholtz} equation in separable domains", journal = j-NUM-MATH, volume = "79", number = "1", pages = "11--42", month = mar, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65N12)", MRnumber = "1 608 409", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079001/80790011.htm; http://science.springer.de/nmee/bibs/8079001/80790011.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Faermann:1998:LPE, author = "Birgit Faermann", title = "Local a-posteriori error indicators for the {Galerkin} discretization of boundary integral equations", journal = j-NUM-MATH, volume = "79", number = "1", pages = "43--76", month = mar, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N38 (45L05 65Rxx)", MRnumber = "1 608 413", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079001/80790043.htm; http://science.springer.de/nmee/bibs/8079001/80790043.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{He:1998:CSF, author = "Yinnian He and Kaitai Li", title = "Convergence and stability of finite element nonlinear {Galerkin} method for the {Navier--Stokes} equations", journal = j-NUM-MATH, volume = "79", number = "1", pages = "77--106", month = mar, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65Nxx (76D05 76M10)", MRnumber = "1 608 417", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079001/80790077.htm; http://science.springer.de/nmee/bibs/8079001/80790077.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Laubin:1998:HOC, author = "Pascal Laubin", title = "High order convergence for collocation of second kind boundary integral equations on polygons", journal = j-NUM-MATH, volume = "79", number = "1", pages = "107--140", month = mar, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N38 (45L05 65N35 65R20)", MRnumber = "1 608 421", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079001/80790107.htm; http://science.springer.de/nmee/bibs/8079001/80790107.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Pflaum:1998:MAS, author = "Christoph Pflaum", title = "A multilevel algorithm for the solution of second order elliptic differential equations on sparse grids", journal = j-NUM-MATH, volume = "79", number = "1", pages = "141--155", month = mar, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "1 608 425", bibdate = "Sat Jun 6 06:08:59 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079001/80790141.htm; http://science.springer.de/nmee/bibs/8079001/80790141.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ainsworth:1998:SGA, author = "Mark Ainsworth and Rolf Grigorieff and Ian Sloan", title = "Semi-discrete {Galerkin} approximation of the single layer equation by general splines", journal = j-NUM-MATH, volume = "79", number = "2", pages = "157--174", month = apr, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079002/80790157.htm; http://science.springer.de/nmee/bibs/8079002/80790157.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Chen:1998:FEM, author = "Zhiming Chen and Jun Zou", title = "Finite element methods and their convergence for elliptic and parabolic interface problems", journal = j-NUM-MATH, volume = "79", number = "2", pages = "175--202", month = apr, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079002/80790175.htm; http://science.springer.de/nmee/bibs/8079002/80790175.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gunther:1998:SDC, author = "Michael G{\"u}nther", title = "Simulating digital circuits numerically --- a charge-oriented {ROW} approach", journal = j-NUM-MATH, volume = "79", number = "2", pages = "203--212", month = apr, year = "1998", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050337", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079002/80790203.htm; http://science.springer.de/nmee/bibs/8079002/80790203.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Huckle:1998:SGE, author = "Thomas Huckle", title = "Symmetric {Gaussian} elimination for {Cauchy}-type matrices with application to positive definite {Toeplitz} matrices", journal = j-NUM-MATH, volume = "79", number = "2", pages = "213--229", month = apr, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079002/80790213.htm; http://science.springer.de/nmee/bibs/8079002/80790213.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kim:1998:DDI, author = "Seongjai Kim", title = "Domain decomposition iterative procedures for solving scalar waves in the frequency domain", journal = j-NUM-MATH, volume = "79", number = "2", pages = "231--259", month = apr, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079002/80790231.htm; http://science.springer.de/nmee/bibs/8079002/80790231.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Pao:1998:AMI, author = "C. V. Pao", title = "Accelerated monotone iterative methods for finite difference equations of reaction-diffusion", journal = j-NUM-MATH, volume = "79", number = "2", pages = "261--281", month = apr, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079002/80790261.htm; http://science.springer.de/nmee/bibs/8079002/80790261.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{ChaconRebollo:1998:TTS, author = "Tom{\'a}s {Chac{\'o}n Rebollo}", title = "A term by term stabilization algorithm for finite element solution of incompressible flow problems", journal = j-NUM-MATH, volume = "79", number = "2", pages = "283--319", month = apr, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079002/80790283.htm; http://science.springer.de/nmee/bibs/8079002/80790283.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Carstensen:1998:FPS, author = "C. Carstensen and M. Kuhn and U. Langer", title = "Fast parallel solvers for symmetric boundary element domain decomposition equations", journal = j-NUM-MATH, volume = "79", number = "3", pages = "321--347", month = may, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079003/80790321.htm; http://science.springer.de/nmee/bibs/8079003/80790321.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Conca:1998:RCE, author = "Carlos Conca and Mario Dur{\'a}n and Jacques Rappaz", title = "Rate of convergence estimates for the spectral approximation of a generalized eigenvalue problem", journal = j-NUM-MATH, volume = "79", number = "3", pages = "349--369", month = may, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079003/80790349.htm; http://science.springer.de/nmee/bibs/8079003/80790349.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Heuer:1998:ISM, author = "Norbert Heuer", title = "An iterative substructuring method for the $p$-version of the boundary element method for hypersingular integral operators in three dimensions", journal = j-NUM-MATH, volume = "79", number = "3", pages = "371--396", month = may, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri Feb 23 06:57:38 2001", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See erratum \cite{Heuer:2001:EIS}.", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079003/80790371.htm; http://science.springer.de/nmee/bibs/8079003/80790371.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Liu:1998:TON, author = "Xu-Dong Liu and Eitan Tadmor", title = "Third order nonoscillatory central scheme for hyperbolic conservation laws", journal = j-NUM-MATH, volume = "79", number = "3", pages = "397--425", month = may, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079003/80790397.htm; http://science.springer.de/nmee/bibs/8079003/80790397.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Oberle:1998:NSP, author = "H. J. Oberle and G. Opfer", title = "Nonnegative splines, in particular of degree five", journal = j-NUM-MATH, volume = "79", number = "3", pages = "427--450", month = may, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079003/80790427.htm; http://science.springer.de/nmee/bibs/8079003/80790427.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sloan:1998:QME, author = "Ian H. Sloan and W. L. Wendland", title = "Qualocation methods for elliptic boundary integral equations", journal = j-NUM-MATH, volume = "79", number = "3", pages = "451--483", month = may, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Jun 6 06:02:42 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079003/80790451.htm; http://science.springer.de/nmee/bibs/8079003/80790451.htm", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dumitrescu:1998:IEA, author = "Bogdan Dumitrescu", title = "Improving and estimating the accuracy of {Strassen}'s algorithm", journal = j-NUM-MATH, volume = "79", number = "4", pages = "485--499", month = jun, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079004/80790485.htm; http://link.springer.de/link/service/journals/00211/papers/8079004/80790485.pdf; http://link.springer.de/link/service/journals/00211/papers/8079004/80790485.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kaltenbacher:1998:PPC, author = "Barbara Kaltenbacher", title = "A posteriori parameter choice strategies for some {Newton} type methods for the regularization of nonlinear ill-posed problems", journal = j-NUM-MATH, volume = "79", number = "4", pages = "501--528", month = jun, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079004/80790501.htm; http://link.springer.de/link/service/journals/00211/papers/8079004/80790501.pdf; http://link.springer.de/link/service/journals/00211/papers/8079004/80790501.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kim:1998:URI, author = "Seongjai Kim", title = "On the use of rational iterations and domain decomposition methods for the {Helmholtz} problem", journal = j-NUM-MATH, volume = "79", number = "4", pages = "529--552", month = jun, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079004/80790529.htm; http://link.springer.de/link/service/journals/00211/papers/8079004/80790529.pdf; http://link.springer.de/link/service/journals/00211/papers/8079004/80790529.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kochengin:1998:DRS, author = "Sergey A. Kochengin and Vladimir I. Oliker", title = "Determination of reflector surfaces from near-field scattering data {II}. {Numerical} solution", journal = j-NUM-MATH, volume = "79", number = "4", pages = "553--568", month = jun, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079004/80790553.htm; http://link.springer.de/link/service/journals/00211/papers/8079004/80790553.pdf; http://link.springer.de/link/service/journals/00211/papers/8079004/80790553.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Koto:1998:SRI, author = "Toshiyuki Koto", title = "Stability of the {Radau IA} and {Lobatto IIIC} methods for delay differential equations", journal = j-NUM-MATH, volume = "79", number = "4", pages = "569--580", month = jun, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079004/80790569.htm; http://link.springer.de/link/service/journals/00211/papers/8079004/80790569.pdf; http://link.springer.de/link/service/journals/00211/papers/8079004/80790569.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kunkel:1998:RSN, author = "Peter Kunkel and Volker Mehrmann", title = "Regular solutions of nonlinear differential-algebraic equations and their numerical determination", journal = j-NUM-MATH, volume = "79", number = "4", pages = "581--600", month = jun, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079004/80790581.htm; http://link.springer.de/link/service/journals/00211/papers/8079004/80790581.pdf; http://link.springer.de/link/service/journals/00211/papers/8079004/80790581.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Skrzipek:1998:PEA, author = "Michael-Ralf Skrzipek", title = "Polynomial evaluation and associated polynomials", journal = j-NUM-MATH, volume = "79", number = "4", pages = "601--613", month = jun, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079004/80790601.htm; http://link.springer.de/link/service/journals/00211/papers/8079004/80790601.pdf; http://link.springer.de/link/service/journals/00211/papers/8079004/80790601.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sun:1998:PAG, author = "Ji-guang Sun", title = "Perturbation analysis of generalized singular subspaces", journal = j-NUM-MATH, volume = "79", number = "4", pages = "615--641", month = jun, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079004/80790615.htm; http://link.springer.de/link/service/journals/00211/papers/8079004/80790615.pdf; http://link.springer.de/link/service/journals/00211/papers/8079004/80790615.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Tong:1998:IMS, author = "Zhanye Tong and Ahmed Sameh", title = "On an iterative method for saddle point problems", journal = j-NUM-MATH, volume = "79", number = "4", pages = "643--646", month = jun, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8079004/80790643.htm; http://link.springer.de/link/service/journals/00211/papers/8079004/80790643.pdf; http://link.springer.de/link/service/journals/00211/papers/8079004/80790643.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Beyn:1998:NTE, author = "Wolf-J{\"u}rgen Beyn and Winfried Kle{\ss}", title = "Numerical {Taylor} expansions of invariant manifolds in large dynamical systems", journal = j-NUM-MATH, volume = "80", number = "1", pages = "1--38", month = jul, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080001/80800001.htm; http://link.springer.de/link/service/journals/00211/papers/8080001/80800001.pdf; http://link.springer.de/link/service/journals/00211/papers/8080001/80800001.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bojanov:1998:NID, author = "Borislav Bojanov and Guergana Petrova", title = "Numerical integration over a disc. {A} new {Gaussian} quadrature formula", journal = j-NUM-MATH, volume = "80", number = "1", pages = "39--59", month = jul, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080001/80800039.htm; http://link.springer.de/link/service/journals/00211/papers/8080001/80800039.pdf; http://link.springer.de/link/service/journals/00211/papers/8080001/80800039.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dassie:1998:ASP, author = "Silvia Dassi{\`e} and Marco Vianello and Renato Zanovello", title = "Asymptotic summation of power series", journal = j-NUM-MATH, volume = "80", number = "1", pages = "61--73", month = jul, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080001/80800061.htm; http://link.springer.de/link/service/journals/00211/papers/8080001/80800061.pdf; http://link.springer.de/link/service/journals/00211/papers/8080001/80800061.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Eisinberg:1998:VMI, author = "Alfredo Eisinberg and Giuseppe Franz{\'e} and Paolo Pugliese", title = "{Vandermonde} matrices on integer nodes", journal = j-NUM-MATH, volume = "80", number = "1", pages = "75--85", month = jul, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080001/80800075.htm; http://link.springer.de/link/service/journals/00211/papers/8080001/80800075.pdf; http://link.springer.de/link/service/journals/00211/papers/8080001/80800075.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Guo:1998:VCF, author = "Benqi Guo and Ernst P. Stephan", title = "The $h$-$p$ version of the coupling of finite element and boundary element methods for transmission problems in polyhedral domains", journal = j-NUM-MATH, volume = "80", number = "1", pages = "87--107", month = jul, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080001/80800087.htm; http://link.springer.de/link/service/journals/00211/papers/8080001/80800087.pdf; http://link.springer.de/link/service/journals/00211/papers/8080001/80800087.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{McDonald:1998:BLF, author = "J. J. McDonald and H. Schneider", title = "Block {LU} factorizations of {M}-matrices", journal = j-NUM-MATH, volume = "80", number = "1", pages = "109--130", month = jul, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080001/80800109.htm; http://link.springer.de/link/service/journals/00211/papers/8080001/80800109.pdf; http://link.springer.de/link/service/journals/00211/papers/8080001/80800109.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stevenson:1998:STW, author = "Rob Stevenson", title = "Stable three-point wavelet bases on general meshes", journal = j-NUM-MATH, volume = "80", number = "1", pages = "131--158", month = jul, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080001/80800131.htm; http://link.springer.de/link/service/journals/00211/papers/8080001/80800131.pdf; http://link.springer.de/link/service/journals/00211/papers/8080001/80800131.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Achchab:1998:EEP, author = "B. Achchab and A. Agouzal and J. Baranger and J. F. Maitre", title = "Estimateur d'erreur a posteriori hi{\'e}rarchique. Application aux {\'e}l{\'e}ments finis mixtes ({French}) [{A} posteriori hierarchical error estimator. Application to mixed finite elements]", journal = j-NUM-MATH, volume = "80", number = "2", pages = "159--179", month = aug, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080002/80800159.htm; http://link.springer.de/link/service/journals/00211/papers/8080002/80800159.pdf; http://link.springer.de/link/service/journals/00211/papers/8080002/80800159.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", language = "French", } @Article{Amara:1998:EIN, author = "M. Amara and M. Ben Younes and C. Bernardi", title = "Error indicators for the {Navier--Stokes} equations in stream function and vorticity formulation", journal = j-NUM-MATH, volume = "80", number = "2", pages = "181--206", month = aug, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080002/80800181.htm; http://link.springer.de/link/service/journals/00211/papers/8080002/80800181.pdf; http://link.springer.de/link/service/journals/00211/papers/8080002/80800181.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Guermond:1998:AUN, author = "J.-L. Guermond and L. Quartapelle", title = "On the approximation of the unsteady {Navier--Stokes} equations by finite element projection methods", journal = j-NUM-MATH, volume = "80", number = "2", pages = "207--238", month = aug, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080002/80800207.htm; http://link.springer.de/link/service/journals/00211/papers/8080002/80800207.pdf; http://link.springer.de/link/service/journals/00211/papers/8080002/80800207.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Jia:1998:GBL, author = "Zhongxiao Jia", title = "Generalized block {Lanczos} methods for large unsymmetric eigenproblems", journal = j-NUM-MATH, volume = "80", number = "2", pages = "239--266", month = aug, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080002/80800239.htm; http://link.springer.de/link/service/journals/00211/papers/8080002/80800239.pdf; http://link.springer.de/link/service/journals/00211/papers/8080002/80800239.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lou:1998:OSC, author = "Zhou-Ming Lou and Bernard Bialecki and Graeme Fairweather", title = "Orthogonal spline collocation methods for biharmonic problems", journal = j-NUM-MATH, volume = "80", number = "2", pages = "267--303", month = aug, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080002/80800267.htm; http://link.springer.de/link/service/journals/00211/papers/8080002/80800267.pdf; http://link.springer.de/link/service/journals/00211/papers/8080002/80800267.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Potra:1998:SMS, author = "Florian A. Potra and Liqun Qi and Defeng Sun", title = "Secant methods for semismooth equations", journal = j-NUM-MATH, volume = "80", number = "2", pages = "305--324", month = aug, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080002/80800305.htm; http://link.springer.de/link/service/journals/00211/papers/8080002/80800305.pdf; http://link.springer.de/link/service/journals/00211/papers/8080002/80800305.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ainsworth:1998:PEE, author = "Mark Ainsworth", title = "A posteriori error estimation for fully discrete hierarchic models of elliptic boundary value problems on thin domains", journal = j-NUM-MATH, volume = "80", number = "3", pages = "325--362", month = sep, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080003/80800325.htm; http://link.springer.de/link/service/journals/00211/papers/8080003/80800325.pdf; http://link.springer.de/link/service/journals/00211/papers/8080003/80800325.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ariyawansa:1998:LST, author = "K. A. Ariyawansa", title = "Line search termination criteria for collinear scaling algorithms for minimizing a class of convex functions", journal = j-NUM-MATH, volume = "80", number = "3", pages = "363--376", month = sep, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080003/80800363.htm; http://link.springer.de/link/service/journals/00211/papers/8080003/80800363.pdf; http://link.springer.de/link/service/journals/00211/papers/8080003/80800363.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{LeBailly:1998:OPG, author = "B. {Le Bailly} and J. P. Thiran", title = "Optimum parameters for the generalized {ADI} method", journal = j-NUM-MATH, volume = "80", number = "3", pages = "377--395", month = sep, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080003/80800377.htm; http://link.springer.de/link/service/journals/00211/papers/8080003/80800377.pdf; http://link.springer.de/link/service/journals/00211/papers/8080003/80800377.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Notay:1998:UAI, author = "Y. Notay", title = "Using approximate inverses in algebraic multilevel methods", journal = j-NUM-MATH, volume = "80", number = "3", pages = "397--417", month = sep, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080003/80800397.htm; http://link.springer.de/link/service/journals/00211/papers/8080003/80800397.pdf; http://link.springer.de/link/service/journals/00211/papers/8080003/80800397.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Tuomela:1998:ADD, author = "Jukka Tuomela and Olivier Vacus", title = "Algebraic derivation of discrete absorbing boundary conditions for the wave equation", journal = j-NUM-MATH, volume = "80", number = "3", pages = "419--459", month = sep, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080003/80800419.htm; http://link.springer.de/link/service/journals/00211/papers/8080003/80800419.pdf; http://link.springer.de/link/service/journals/00211/papers/8080003/80800419.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Waldron:1998:MTF, author = "Shayne Waldron", title = "Multipoint {Taylor} formul{\ae}", journal = j-NUM-MATH, volume = "80", number = "3", pages = "461--494", month = sep, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080003/80800461.htm; http://link.springer.de/link/service/journals/00211/papers/8080003/80800461.pdf; http://link.springer.de/link/service/journals/00211/papers/8080003/80800461.ps.gz", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ciarlet:1998:ERV, author = "Philippe Ciarlet", title = "Editorial: [to {Richard S. Varga}, Seventieth Birthday Greetings]", journal = j-NUM-MATH, volume = "80", number = "4", pages = "495--495", month = oct, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See their earliest joint paper \cite{Ciarlet:1967:NMH}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bansch:1998:AFE, author = "E. B{\"a}nsch and W. D{\"o}rfler", title = "Adaptive finite elements for exterior domain problems", journal = j-NUM-MATH, volume = "80", number = "4", pages = "497--523", month = oct, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080004/80800497.htm; http://link.springer.de/link/service/journals/00211/papers/8080004/80800497.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Barrett:1998:FEA, author = "John W. Barrett and James F. Blowey and Harald Garcke", title = "Finite element approximation of a fourth order nonlinear degenerate parabolic equation", journal = j-NUM-MATH, volume = "80", number = "4", pages = "525--556", month = oct, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080004/80800525.htm; http://link.springer.de/link/service/journals/00211/papers/8080004/80800525.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kanzow:1998:IBM, author = "Christian Kanzow", title = "An {inexactQP}-based method for nonlinear complementarity problems", journal = j-NUM-MATH, volume = "80", number = "4", pages = "557--577", month = oct, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080004/80800557.htm; http://link.springer.de/link/service/journals/00211/papers/8080004/80800557.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Scherzer:1998:IML, author = "Otmar Scherzer", title = "An iterative multi level algorithm for solving nonlinear ill-posed problems", journal = j-NUM-MATH, volume = "80", number = "4", pages = "579--600", month = oct, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080004/80800579.htm; http://link.springer.de/link/service/journals/00211/papers/8080004/80800579.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Verdiere:1998:NTS, author = "S. Verdi{\`e}re and M. H. Vignal", title = "Numerical and theoretical study of a {Dual Mesh Method} using finite volume schemes for two phase flow problems in porous media", journal = j-NUM-MATH, volume = "80", number = "4", pages = "601--639", month = oct, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080004/80800601.htm; http://link.springer.de/link/service/journals/00211/papers/8080004/80800601.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Verfurth:1998:PEE, author = "R. Verf{\"u}rth", title = "A posteriori error estimators for convection-diffusion equations", journal = j-NUM-MATH, volume = "80", number = "4", pages = "641--663", month = oct, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8080004/80800641.htm; http://link.springer.de/link/service/journals/00211/papers/8080004/80800641.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brezinski:1998:ETI, author = "C. Brezinski and M. Redivo-Zaglia and G. Rodriguez and S. Seatzu", title = "Extrapolation techniques for ill-conditioned linear systems", journal = j-NUM-MATH, volume = "81", number = "1", pages = "1--29", month = nov, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081001/80810001.htm; http://link.springer.de/link/service/journals/00211/papers/8081001/80810001.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Calvo:1998:CRM, author = "M. Calvo and S. Gonzalez-Pinto and J. I. Montijano", title = "On the convergence of {Runge--Kutta} methods for stiff non linear differential equations", journal = j-NUM-MATH, volume = "81", number = "1", pages = "31--51", month = nov, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081001/80810031.htm; http://link.springer.de/link/service/journals/00211/papers/8081001/80810031.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lubich:1998:HBR, author = "Christian Lubich and Alexander Ostermann", title = "{Hopf} bifurcation of reaction-diffusion and {Navier--Stokes} equations under discretization", journal = j-NUM-MATH, volume = "81", number = "1", pages = "53--84", month = nov, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081001/80810053.htm; http://link.springer.de/link/service/journals/00211/papers/8081001/80810053.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Rohde:1998:UFV, author = "Christian Rohde", title = "Upwind finite volume schemes for weakly coupled hyperbolic systems of conservation laws in {2D}", journal = j-NUM-MATH, volume = "81", number = "1", pages = "85--123", month = nov, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081001/80810085.htm; http://link.springer.de/link/service/journals/00211/papers/8081001/80810085.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Simoncini:1998:MAA, author = "V. Simoncini", title = "A matrix analysis of {Arnoldi} and {Lanczos} methods", journal = j-NUM-MATH, volume = "81", number = "1", pages = "125--141", month = nov, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081001/80810125.htm; http://link.springer.de/link/service/journals/00211/papers/8081001/80810125.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sun:1998:FAH, author = "W. Sun", title = "Fast algorithms for high-order spline collocation systems", journal = j-NUM-MATH, volume = "81", number = "1", pages = "143--160", month = nov, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081001/80810143.htm; http://link.springer.de/link/service/journals/00211/papers/8081001/80810143.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Anonymous:1998:AHAa, author = "Anonymous", title = "Announcement: {Householder Award X}", journal = j-NUM-MATH, volume = "81", number = "1", pages = "161--162", month = nov, year = "1998", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF02510264", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Capatina-Papaghiuc:1998:NFE, author = "Daniela Capatina-Papaghiuc and Jean-Marie Thomas", title = "Nonconforming finite element methods without numerical locking", journal = j-NUM-MATH, volume = "81", number = "2", pages = "163--186", month = dec, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081002/80810163.htm; http://link.springer.de/link/service/journals/00211/papers/8081002/80810163.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Carstensen:1998:PEE, author = "Carsten Carstensen and Georg Dolzmann", title = "A posteriori error estimates for mixed {FEM} in elasticity", journal = j-NUM-MATH, volume = "81", number = "2", pages = "187--209", month = dec, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081002/80810187.htm; http://link.springer.de/link/service/journals/00211/papers/8081002/80810187.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hemmingsson:1998:SPC, author = "Lina Hemmingsson", title = "A semi-circulant preconditioner for the convection-diffusion equation", journal = j-NUM-MATH, volume = "81", number = "2", pages = "211--248", month = dec, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081002/80810211.htm; http://link.springer.de/link/service/journals/00211/papers/8081002/80810211.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Lu:1998:FEM, author = "Hao Lu and Joseph Maubach", title = "A finite element method and variable transformations for a forward-backward heat equation", journal = j-NUM-MATH, volume = "81", number = "2", pages = "249--272", month = dec, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081002/80810249.htm; http://link.springer.de/link/service/journals/00211/papers/8081002/80810249.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Monegato:1998:EEF, author = "G. Monegato and J. N. Lyness", title = "The {Euler--Maclaurin} expansion and finite-part integrals", journal = j-NUM-MATH, volume = "81", number = "2", pages = "273--291", month = dec, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081002/80810273.htm; http://link.springer.de/link/service/journals/00211/papers/8081002/80810273.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Pena:1998:PSL, author = "J. M. Pe{\~n}a", title = "Pivoting strategies leading to diagonal dominance by rows", journal = j-NUM-MATH, volume = "81", number = "2", pages = "293--304", month = dec, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081002/80810293.htm; http://link.springer.de/link/service/journals/00211/papers/8081002/80810293.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ryoo:1998:NVS, author = "Cheon Seoung Ryoo and Mitsuhiro T. Nakao", title = "Numerical verification of solutions for variational inequalities", journal = j-NUM-MATH, volume = "81", number = "2", pages = "305--320", month = dec, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/8081002/80810305.htm; http://link.springer.de/link/service/journals/00211/papers/8081002/80810305.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Anonymous:1998:AHAb, author = "Anonymous", title = "Announcement: {Householder Award X}", journal = j-NUM-MATH, volume = "81", number = "2", pages = "321--322", month = dec, year = "1998", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 21:30:25 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dutt:1999:SMI, author = "P. Dutt", title = "Spectral methods for initial boundary value problems with nonsmooth data", journal = j-NUM-MATH, volume = "81", number = "3", pages = "323--344", month = jan, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/9081003/90810323.htm; http://link.springer.de/link/service/journals/00211/papers/9081003/90810323.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Khoromskij:1999:AOS, author = "Boris N. Khoromskij and Gabriel Wittum", title = "An asymptotically optimal {Schur} complement reduction for the {Stokes} equation", journal = j-NUM-MATH, volume = "81", number = "3", pages = "345--375", month = jan, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/9081003/90810345.htm; http://link.springer.de/link/service/journals/00211/papers/9081003/90810345.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Li:1999:LTA, author = "Chi-Kwong Li and Roy Mathias", title = "The {Lidskii-Mirsky-Wielandt} theorem --- additive and multiplicative versions", journal = j-NUM-MATH, volume = "81", number = "3", pages = "377--413", month = jan, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/9081003/90810377.htm; http://link.springer.de/link/service/journals/00211/papers/9081003/90810377.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Light:1999:SDI, author = "Will Light and Henry Wayne", title = "Spaces of distributions, interpolation by translates of a basis function and error estimates", journal = j-NUM-MATH, volume = "81", number = "3", pages = "415--450", month = jan, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/9081003/90810415.htm; http://link.springer.de/link/service/journals/00211/papers/9081003/90810415.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Qiu:1999:NRM, author = "Lin Qiu and Biao Yang and Jiaoxun Kuang", title = "The {NGP}-stability of {Runge--Kutta} methods for systems of neutral delay differential equations", journal = j-NUM-MATH, volume = "81", number = "3", pages = "451--459", month = jan, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/9081003/90810451.htm; http://link.springer.de/link/service/journals/00211/papers/9081003/90810451.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Serra:1999:RCT, author = "Stefano Serra", title = "The rate of convergence of {Toeplitz} based {PCG} methods for second order nonlinear boundary value problems", journal = j-NUM-MATH, volume = "81", number = "3", pages = "461--495", month = jan, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Jan 5 07:23:12 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/9081003/90810461.htm; http://link.springer.de/link/service/journals/00211/papers/9081003/90810461.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Angot:1999:PMT, author = "Philippe Angot and Charles-Henri Bruneau and Pierre Fabrie", title = "A penalization method to take into account obstacles in incompressible viscous flows", journal = j-NUM-MATH, volume = "81", number = "4", pages = "497--520", month = feb, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 06:56:50 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9081004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9081004/90810497.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9081004/90810497.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bruntjen:1999:ITL, author = "K. Br{\"u}ntjen and H. Sp{\"a}th", title = "Incomplete total least squares", journal = j-NUM-MATH, volume = "81", number = "4", pages = "521--538", month = feb, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 06:56:50 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9081004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9081004/90810521.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9081004/90810521.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Du:1999:ACM, author = "Qiang Du and Max D. Gunzburger and Hyesuk Kwon Lee", title = "Analysis and computation of a mean-field model for superconductivity", journal = j-NUM-MATH, volume = "81", number = "4", pages = "539--560", month = feb, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 06:56:50 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9081004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9081004/90810539.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9081004/90810539.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hwang:1999:RAO, author = "J. S. Hwang", title = "Rational approximation to orthogonal bases and of the solutions of elliptic equations", journal = j-NUM-MATH, volume = "81", number = "4", pages = "561--575", month = feb, year = "1999", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050404", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 06:56:50 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9081004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9081004/90810561.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9081004/90810561.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Klawonn:1999:BTP, author = "Axel Klawonn and Gerhard Starke", title = "Block triangular preconditioners for nonsymmetric saddle point problems: field-of-values analysis", journal = j-NUM-MATH, volume = "81", number = "4", pages = "577--594", month = feb, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 06:56:50 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9081004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9081004/90810577.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9081004/90810577.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Markowich:1999:NAQ, author = "Peter A. Markowich and Paola Pietra and Carsten Pohl", title = "Numerical approximation of quadratic observables of {Schr{\"o}dinger}-type equations in the semi-classical limit", journal = j-NUM-MATH, volume = "81", number = "4", pages = "595--630", month = feb, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 06:56:50 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9081004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9081004/90810595.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9081004/90810595.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stoer:1999:API, author = "Josef Stoer and Martin Wechs", title = "On the analyticity properties of infeasible-interior-point paths for monotone linear complementarity problems", journal = j-NUM-MATH, volume = "81", number = "4", pages = "631--645", month = feb, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 06:56:50 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9081004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9081004/90810631.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9081004/90810631.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Yao:1999:HI, author = "Qingchuan Yao", title = "On {Halley} iteration", journal = j-NUM-MATH, volume = "81", number = "4", pages = "647--677", month = feb, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 06:56:50 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9081004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9081004/90810647.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9081004/90810647.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bai:1999:BAT, author = "Zhong-Zhi Bai and Violeta Migall{\'o}n and Jos{\'e} Penad{\'e}s and Daniel B. Szyld", title = "Block and asynchronous two-stage methods for mildly nonlinear systems", journal = j-NUM-MATH, volume = "82", number = "1", pages = "1--20", month = mar, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:07 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082001/90820001.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082001/90820001.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Barrett:1999:FEA, author = "John W. Barrett and Mathias Schneider", title = "Finite element approximation of a semilinear elliptic problem with a singular nonlinearity", journal = j-NUM-MATH, volume = "82", number = "1", pages = "21--56", month = mar, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:07 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082001/90820021.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082001/90820021.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{DiBenedetto:1999:UAA, author = "Fabio {Di Benedetto} and Stefano Serra Capizzano", title = "A unifying approach to abstract matrix algebra preconditioning", journal = j-NUM-MATH, volume = "82", number = "1", pages = "57--90", month = mar, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:07 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082001/90820057.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082001/90820057.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Eymard:1999:CFV, author = "Robert Eymard and Thierry Gallou{\"e}t and Rapha{\`e}le Herbin", title = "Convergence of finite volume schemes for semilinear convection diffusion equations", journal = j-NUM-MATH, volume = "82", number = "1", pages = "91--116", month = mar, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:07 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082001/90820091.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082001/90820091.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Serra:1999:KTT, author = "Stefano Serra", title = "A {Korovkin}-type theory for finite {Toeplitz} operators via matrix algebras", journal = j-NUM-MATH, volume = "82", number = "1", pages = "117--142", month = mar, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:07 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082001/90820117.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082001/90820117.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Yserentant:1999:PVS, author = "Harry Yserentant", title = "Particles of variable size", journal = j-NUM-MATH, volume = "82", number = "1", pages = "143--159", month = mar, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:07 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082001/90820143.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082001/90820143.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Yserentant:1999:EGS, author = "Harry Yserentant", title = "Entropy generation and shock resolution in the particle model of compressible fluids", journal = j-NUM-MATH, volume = "82", number = "1", pages = "161--177", month = mar, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:07 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082001/90820161.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082001/90820161.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Braess:1999:CMA, author = "Dietrich Braess and Wolfgang Dahmen", title = "A cascadic multigrid algorithm for the {Stokes} equations", journal = j-NUM-MATH, volume = "82", number = "2", pages = "179--191", month = apr, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 07:13:48 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082002/90820179.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082002/90820179.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ciarlet:1999:FDF, author = "P. {Ciarlet, Jr.} and Jun Zou", title = "Fully discrete finite element approaches for time-dependent {Maxwell}'s equations", journal = j-NUM-MATH, volume = "82", number = "2", pages = "193--219", month = apr, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 07:13:48 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082002/90820193.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082002/90820193.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Floater:1999:PLP, author = "Michael S. Floater and Ewald G. Quak", title = "Piecewise linear prewavelets on arbitrary triangulations", journal = j-NUM-MATH, volume = "82", number = "2", pages = "221--252", month = apr, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 07:13:48 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082002/90820221.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082002/90820221.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hiptmair:1999:MMM, author = "Ralf Hiptmair and Ronald H. W. Hoppe", title = "Multilevel methods for mixed finite elements in three dimensions", journal = j-NUM-MATH, volume = "82", number = "2", pages = "253--279", month = apr, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 07:13:48 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082002/90820253.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082002/90820253.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Klouvcek:1999:RNQ, author = "Petr Klou{\v{c}}ek", title = "The relaxation of non-quasiconvex variational integrals", journal = j-NUM-MATH, volume = "82", number = "2", pages = "281--311", month = apr, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 07:13:48 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082002/90820281.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082002/90820281.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Mulansky:1999:CII, author = "Bernd Mulansky and Jochen W. Schmidt", title = "Convex interval interpolation using a three-term staircase algorithm", journal = j-NUM-MATH, volume = "82", number = "2", pages = "313--337", month = apr, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 07:13:48 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082002/90820313.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082002/90820313.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sun:1999:BEI, author = "Ji-guang Sun", title = "Backward errors for the inverse eigenvalue problem", journal = j-NUM-MATH, volume = "82", number = "2", pages = "339--349", month = apr, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Tue Oct 19 07:13:48 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082002/90820339.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082002/90820339.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Ainsworth:1999:ATP, author = "Mark Ainsworth and David Kay", title = "The approximation theory for the $p$-version finite element method and application to non-linear elliptic {PDE}s", journal = j-NUM-MATH, volume = "82", number = "3", pages = "351--388", month = may, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:09 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082003/90820351.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082003/90820351.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brass:1999:EBR, author = "H. Brass and J.-W. Fischer", title = "Error bounds for {Romberg} quadrature", journal = j-NUM-MATH, volume = "82", number = "3", pages = "389--408", month = may, year = "1999", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050424", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:09 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082003/90820389.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082003/90820389.pdf", abstract = "Denote by the error of a Romberg quadrature rule applied to the function f. We determine approximately the constants in the bounds of the types and for all classical Romberg rules. By a comparison with the corresponding constants of the Gaussian rule we give the statement ``The Gaussian quadrature rule is better than the Romberg method'' a precise meaning.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Chatzipantelidis:1999:FVM, author = "Panagiotis Chatzipantelidis", title = "A finite volume method based on the {Crouzeix--Raviart} element for elliptic {PDE}'s in two dimensions", journal = j-NUM-MATH, volume = "82", number = "3", pages = "409--432", month = may, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:09 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082003/90820409.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082003/90820409.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Houston:1999:PEA, author = "P. Houston and J. A. Mackenzie and E. S{\"u}li and G. Warnecke", title = "A posteriori error analysis for numerical approximations of {Friedrichs} systems", journal = j-NUM-MATH, volume = "82", number = "3", pages = "433--470", month = may, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:09 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082003/90820433.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082003/90820433.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Palencia:1999:BEM, author = "C. Palencia", title = "Backward {Euler} method for abstract time-dependent parabolic equations with variable domains", journal = j-NUM-MATH, volume = "82", number = "3", pages = "471--490", month = may, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:09 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082003/90820471.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082003/90820471.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Zou:1999:AQL, author = "Xiulin Zou", title = "Analysis of the quasi-{Laguerre} method", journal = j-NUM-MATH, volume = "82", number = "3", pages = "491--519", month = may, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:09 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082003/90820491.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082003/90820491.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Akrivis:1999:IEM, author = "Georgios Akrivis and Michel Crouzeix and Charalambos Makridakis", title = "Implicit-explicit multistep methods for quasilinear parabolic equations", journal = j-NUM-MATH, volume = "82", number = "4", pages = "521--541", month = jun, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:11 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082004/90820521.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082004/90820521.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bank:1999:MID, author = "Randolph E. Bank and Christian Wagner", title = "Multilevel {ILU} decomposition", journal = j-NUM-MATH, volume = "82", number = "4", pages = "543--576", month = jun, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:11 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082004/90820543.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082004/90820543.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Carstensen:1999:NAP, author = "Carsten Carstensen", title = "Numerical analysis of the primal problem of elastoplasticity with hardening", journal = j-NUM-MATH, volume = "82", number = "4", pages = "577--597", month = jun, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:11 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082004/90820577.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082004/90820577.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Elden:1999:PPS, author = "Lars Eld{\'e}n and Haesun Park", title = "A {Procrustes} problem on the {Stiefel} manifold", journal = j-NUM-MATH, volume = "82", number = "4", pages = "599--619", month = jun, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:11 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082004/90820599.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082004/90820599.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Fdez-Manin:1999:EEP, author = "G. Fdez-Man{\'\i}n and R. Mu{\~n}oz-Sola", title = "Error estimates for the patching method in the bidimensional case", journal = j-NUM-MATH, volume = "82", number = "4", pages = "621--634", month = jun, year = "1999", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050433", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:11 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082004/90820621.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082004/90820621.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Gonzalez:1999:NFR, author = "Ana B. Gonz{\'a}lez and Pablo Mart{\'\i}n and Jos{\'e} M. Farto", title = "A new family of {Runge--Kutta} type methods for the numerical integration of perturbed oscillators", journal = j-NUM-MATH, volume = "82", number = "4", pages = "635--646", month = jun, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:11 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082004/90820635.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082004/90820635.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Grossmann:1999:PSR, author = "C. Grossmann and A. Ismail", title = "Parameter selection rules for path-following with singular embedding", journal = j-NUM-MATH, volume = "82", number = "4", pages = "647--675", month = jun, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:11 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082004/90820647.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082004/90820647.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Morita:1999:CEI, author = "T. Morita", title = "Calculation of the elliptic integrals of the first and second kinds with complex modulus", journal = j-NUM-MATH, volume = "82", number = "4", pages = "677--688", month = jun, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:11 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9082004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9082004/90820677.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9082004/90820677.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Alefeld:1999:NVS, author = "G. E. Alefeld and X. Chen and F. A. Potra", title = "Numerical validation of solutions of linear complementarity problems", journal = j-NUM-MATH, volume = "83", number = "1", pages = "1--23", month = jul, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:13 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083001/90830001.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083001/90830001.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brenner:1999:BDD, author = "Susanne C. Brenner and Li-yeng Sung", title = "Balancing domain decomposition for nonconforming plate elements", journal = j-NUM-MATH, volume = "83", number = "1", pages = "25--52", month = jul, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:13 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083001/90830025.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083001/90830025.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brezinski:1999:NLA, author = "C. Brezinski and M. Redivo Zaglia and H. Sadok", title = "New look-ahead {Lanczos}-type algorithms for linear systems", journal = j-NUM-MATH, volume = "83", number = "1", pages = "53--85", month = jul, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:13 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083001/90830053.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083001/90830053.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Damelin:1999:IPQ, author = "S. B. Damelin and Kai Diethelm", title = "Interpolatory product quadratures for {Cauchy} principal value integrals with {Freud} weights", journal = j-NUM-MATH, volume = "83", number = "1", pages = "87--105", month = jul, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:13 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083001/90830087.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083001/90830087.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Evje:1999:VSA, author = "Steinar Evje and Kenneth Hvistendahl Karlsen", title = "Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations", journal = j-NUM-MATH, volume = "83", number = "1", pages = "107--137", month = jul, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:13 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083001/90830107.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083001/90830107.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Jin:1999:PPC, author = "Qi-nian Jin and Zong-yi Hou", title = "On an a posteriori parameter choice strategy for {Tikhonov} regularization of nonlinear ill-posed problems", journal = j-NUM-MATH, volume = "83", number = "1", pages = "139--159", month = jul, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:13 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083001/90830139.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083001/90830139.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Mishev:1999:FVE, author = "Ilya D. Mishev", title = "Finite volume element methods for non-definite problems", journal = j-NUM-MATH, volume = "83", number = "1", pages = "161--175", month = jul, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:13 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083001/90830161.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083001/90830161.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Anonymous:1999:PDO, author = "Anonymous", title = "Publications in the Directory {ONLINE First}", journal = j-NUM-MATH, volume = "83", number = "2", pages = "177--177", month = aug, year = "1999", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050444", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Jan 31 10:47:37 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Bornemann:1999:AAC, author = "Folkmar A. Bornemann and Christof Sch{\"u}tte", title = "Adaptive accuracy control for {Car--Parrinello} simulations", journal = j-NUM-MATH, volume = "83", number = "2", pages = "179--186", month = aug, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:15 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9000002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083002/90830179.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083002/90830179.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Brenner:1999:CNS, author = "Susanne C. Brenner", title = "The condition number of the {Schur} complement in domain decomposition", journal = j-NUM-MATH, volume = "83", number = "2", pages = "187--203", month = aug, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:15 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9000002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083002/90830187.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083002/90830187.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{DeLillo:1999:NCM, author = "Thomas K. DeLillo and Mark A. Horn and John A. Pfaltzgraff", title = "Numerical conformal mapping of multiply connected regions by {Fornberg}-like methods", journal = j-NUM-MATH, volume = "83", number = "2", pages = "205--230", month = aug, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:15 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9000002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083002/90830205.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083002/90830205.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Elman:1999:ESP, author = "Howard C. Elman and Dianne P. O'Leary", title = "Eigenanalysis of some preconditioned {Helmholtz} problems", journal = j-NUM-MATH, volume = "83", number = "2", pages = "231--257", month = aug, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:15 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9000002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083002/90830231.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083002/90830231.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Frommer:1999:WMN, author = "Andreas Frommer and Daniel B. Szyld", title = "Weighted max norms, splittings, and overlapping additive {Schwarz} iterations", journal = j-NUM-MATH, volume = "83", number = "2", pages = "259--278", month = aug, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:15 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9000002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083002/90830259.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083002/90830259.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Griebel:1999:SGB, author = "M. Griebel and P. Oswald and T. Schiekofer", title = "Sparse grids for boundary integral equations", journal = j-NUM-MATH, volume = "83", number = "2", pages = "279--312", month = aug, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:15 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9000002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083002/90830279.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083002/90830279.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Stewart:1999:FAE, author = "G. W. Stewart", title = "Four algorithms for the efficient computation of truncated pivoted {$QR$} approximations to a sparse matrix", journal = j-NUM-MATH, volume = "83", number = "2", pages = "313--323", month = aug, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:15 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9000002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083002/90830313.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083002/90830313.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Chipot:1999:AMP, author = "Michel Chipot", title = "The appearance of microstructures in problems with incompatible wells and their numerical approach", journal = j-NUM-MATH, volume = "83", number = "3", pages = "325--352", month = sep, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:18 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830325.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830325.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Douglas:1999:MMC, author = "Jim {Douglas, Jr.} and Chieh-Sen Huang and Felipe Pereira", title = "The modified method of characteristics with adjusted advection", journal = j-NUM-MATH, volume = "83", number = "3", pages = "353--369", month = sep, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:18 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830353.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830353.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Guglielmi:1999:OSS, author = "Nicola Guglielmi and Ernst Hairer", title = "Order stars and stability for delay differential equations", journal = j-NUM-MATH, volume = "83", number = "3", pages = "371--383", month = sep, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:18 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830371.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830371.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hanke:1999:TLP, author = "Martin Hanke and Curtis R. Vogel", title = "Two-level preconditioners for regularized inverse problems {I}: {Theory}", journal = j-NUM-MATH, volume = "83", number = "3", pages = "385--402", month = sep, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:18 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830385.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830385.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hochbruck:1999:GTM, author = "Marlis Hochbruck and Christian Lubich", title = "A {Gautschi}-type method for oscillatory second-order differential equations", journal = j-NUM-MATH, volume = "83", number = "3", pages = "403--426", month = sep, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:18 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830403.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830403.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Kossioris:1999:FVS, author = "G. Kossioris and Ch. Makridakis and P. E. Souganidis", title = "Finite volume schemes for {Hamilton--Jacobi} equations", journal = j-NUM-MATH, volume = "83", number = "3", pages = "427--442", month = sep, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:18 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830427.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830427.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Malyshev:1999:FND, author = "Alexander N. Malyshev", title = "A formula for the $2$-norm distance from a matrix to the set of matrices with multiple eigenvalues", journal = j-NUM-MATH, volume = "83", number = "3", pages = "443--454", month = sep, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:18 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830443.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830443.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Segeth:1999:PEE, author = "K. Segeth", title = "A posteriori error estimation with the finite element method of lines for a nonlinear parabolic equation in one space dimension", journal = j-NUM-MATH, volume = "83", number = "3", pages = "455--475", month = sep, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:18 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830455.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830455.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Shang:1999:KTS, author = "Zai-jiu Shang", title = "{KAM} theorem of symplectic algorithms for {Hamiltonian} systems", journal = j-NUM-MATH, volume = "83", number = "3", pages = "477--496", month = sep, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:18 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830477.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830477.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Sloan:1999:SQM, author = "Ian H. Sloan and Wolfgang L. Wendland", title = "Spline qualocation methods for variable-coefficient elliptic equations on curves", journal = j-NUM-MATH, volume = "83", number = "3", pages = "497--533", month = sep, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Mon Oct 18 10:45:18 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830497.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830497.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Calvetti:1999:IEF, author = "D. Calvetti and L. Reichel and Q. Zhang", title = "Iterative exponential filtering for large discrete ill-posed problems", journal = j-NUM-MATH, volume = "83", number = "4", pages = "535--556", month = oct, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:33:03 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083004/90830535.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083004/90830535.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Calvo:1999:NAT, author = "N. Calvo and J. Durany and C. V{\'a}zquez", title = "Numerical approach of temperature distribution in a free boundary model for polythermal ice sheets", journal = j-NUM-MATH, volume = "83", number = "4", pages = "557--580", month = oct, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:33:03 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083004/90830557.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083004/90830557.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dai:1999:GCM, author = "Yu-hong Dai and Ya-xiang Yuan", title = "Global convergence of the method of shortest residuals", journal = j-NUM-MATH, volume = "83", number = "4", pages = "581--598", month = oct, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:33:03 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See comments \cite{Pytlak:2002:CGC}.", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083004/90830581.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083004/90830581.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Dieci:1999:COF, author = "Luca Dieci and Erik S. {Van Vleck}", title = "Computation of orthonormal factors for fundamental solution matrices", journal = j-NUM-MATH, volume = "83", number = "4", pages = "599--620", month = oct, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:33:03 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083004/90830599.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083004/90830599.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Guo:1999:IBF, author = "Chun-Hua Guo", title = "Incomplete block factorization preconditioning for indefinite elliptic problems", journal = j-NUM-MATH, volume = "83", number = "4", pages = "621--639", month = oct, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:33:03 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083004/90830621.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083004/90830621.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Heuer:1999:ECH, author = "Norbert Heuer and Matthias Maischak and Ernst P. Stephan", title = "Exponential convergence of the $hp$-version for the boundary element method on open surfaces", journal = j-NUM-MATH, volume = "83", number = "4", pages = "641--666", month = oct, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:33:03 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083004/90830641.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083004/90830641.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schotzau:1999:MHF, author = "Dominik Sch{\"o}tzau and Christoph Schwab and Rolf Stenberg", title = "Mixed $hp$-{FEM} on anisotropic meshes {II}: Hanging nodes and tensor products of boundary layer meshes", journal = j-NUM-MATH, volume = "83", number = "4", pages = "667--697", month = oct, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:33:03 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083004/90830667.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083004/90830667.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Veselic:1999:NPS, author = "K. Veseli{\'c}", title = "A note on the pivoted symmetric {$LR$} iteration", journal = j-NUM-MATH, volume = "83", number = "4", pages = "699--702", month = oct, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sun Oct 17 19:33:03 MDT 1999", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083004.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083004/90830699.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9083004/90830699.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Goodman:1999:CNC, author = "T. N. T. Goodman and S. L. Lee", title = "Convergence of nonstationary cascade algorithms", journal = j-NUM-MATH, volume = "84", number = "1", pages = "1--33", month = nov, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084001/90840001.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084001/90840001.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Melenk:1999:OAS, author = "J. M. Melenk", title = "Operator adapted spectral element methods {I}: harmonic and generalized harmonic polynomials", journal = j-NUM-MATH, volume = "84", number = "1", pages = "35--69", month = nov, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084001/90840035.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084001/90840035.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Mortreux:1999:TMF, author = "P. Mortreux and M. Pr{\'e}vost", title = "On totally monotonic families of sequences", journal = j-NUM-MATH, volume = "84", number = "1", pages = "71--96", month = nov, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084001/90840071.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084001/90840071.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Schoberl:1999:MMP, author = "Joachim Sch{\"o}berl", title = "Multigrid methods for a parameter dependent problem in primal variables", journal = j-NUM-MATH, volume = "84", number = "1", pages = "97--119", month = nov, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084001/90840097.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084001/90840097.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Tsuchiya:1999:AKT, author = "Takuya Tsuchiya", title = "An application of the {Kantorovich} theorem to nonlinear finite element analysis", journal = j-NUM-MATH, volume = "84", number = "1", pages = "121--141", month = nov, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084001/90840121.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084001/90840121.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Wohlmuth:1999:RBE, author = "Barbara I. Wohlmuth", title = "A residual based error estimator for mortar finite element discretizations", journal = j-NUM-MATH, volume = "84", number = "1", pages = "143--171", month = nov, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084001.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084001/90840143.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084001/90840143.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{BenBelgacem:1999:MFE, author = "Faker {Ben Belgacem}", title = "The {Mortar} finite element method with {Lagrange} multipliers", journal = j-NUM-MATH, volume = "84", number = "2", pages = "173--197", month = dec, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084002/90840173.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084002/90840173.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Hairer:1999:BEA, author = "Ernst Hairer", title = "Backward error analysis for multistep methods", journal = j-NUM-MATH, volume = "84", number = "2", pages = "199--232", month = dec, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084002/90840199.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084002/90840199.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Koto:1999:SRK, author = "Toshiyuki Koto", title = "Stability of {Runge--Kutta} methods for the generalized pantograph equation", journal = j-NUM-MATH, volume = "84", number = "2", pages = "233--247", month = dec, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084002/90840233.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084002/90840233.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Larson:1999:AMF, author = "Mats G. Larson and A. Jonas Niklasson", title = "Adaptive multilevel finite element approximations of semilinear elliptic boundary value problems", journal = j-NUM-MATH, volume = "84", number = "2", pages = "249--274", month = dec, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084002/90840249.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084002/90840249.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Maitre:1999:TEB, author = "E. Maitre and P. Witomski", title = "Transport equation with boundary conditions for free surface localization", journal = j-NUM-MATH, volume = "84", number = "2", pages = "275--303", month = dec, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084002/90840275.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084002/90840275.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Perugia:1999:MFM, author = "I. Perugia", title = "A mixed formulation for {3D} magnetostatic problems: theoretical analysis and face-edge finite element approximation", journal = j-NUM-MATH, volume = "84", number = "2", pages = "305--326", month = dec, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084002/90840305.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084002/90840305.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Pflaum:1999:EAC, author = "C. Pflaum and A. Zhou", title = "Error analysis of the combination technique", journal = j-NUM-MATH, volume = "84", number = "2", pages = "327--350", month = dec, year = "1999", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Thu Sep 28 06:38:30 MDT 2000", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9084002.htm; https://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9084002/90840327.htm; http://link.springer-ny.com/link/service/journals/00211/papers/9084002/90840327.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Heuer:2001:EIS, author = "Norbert Heuer", title = "Erratum: {``An iterative substructuring method for the $p$-version of the boundary element method for hypersingular integral operators in three dimensions'' Numer. Math. (1998) {\bf 79}: 371--396}", journal = j-NUM-MATH, volume = "87", number = "4", pages = "793--794", month = feb, year = "2001", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri Feb 23 06:45:03 MST 2001", bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t1087004.htm; http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X; https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Heuer:1998:ISM}.", URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/1087004/10870793.htm; http://link.springer-ny.com/link/service/journals/00211/papers/1087004/10870793.pdf", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Article{Pytlak:2002:CGC, author = "R. Pytlak", title = "Comments on {``Global convergence of the method of shortest residuals'' by Y. Dai and Y. Yuan}", journal = j-NUM-MATH, volume = "91", number = "2", pages = "319--321", month = apr, year = "2002", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110100305", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Sat Sep 6 08:57:15 MDT 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/nummath.bib", note = "See \cite{Dai:1999:GCM}.", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } %%%===================================================================== %%% Cross-referenced entries must come last: @Book{Wilkinson:1971:LA, editor = "James H. Wilkinson and Christian Reinsch", booktitle = "Linear Algebra", title = "Linear Algebra", volume = "II", publisher = pub-SV, address = pub-SV:adr, pages = "viii + 439", year = "1971", ISBN = "0-387-05414-6, 3-540-05414-6", ISBN-13 = "978-0-387-05414-8, 978-3-540-05414-6", LCCN = "QA251 .W67", bibdate = "Wed Dec 15 18:44:50 1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/gnu.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/nummath.bib", series = "Handbook for Automatic Computation, Editors: {F. L. Bauer, A. S. Householder, F. W. J. Olver, H. Rutishauser, K. Samelson and E. Stiefel}", acknowledgement = ack-nhfb, editor-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022); James H. Wilkinson (27 September 1919--5 October 1986)", tableofcontents = "Part I: Linear systems, least squares and linear programming \\ J. H. Wilkinson / Introduction to Part I / 1--8 \\ 1. Introduction \\ 2. List of procedures \\ 3. Positive definite symmetric matrices \\ 4. Non-positive definite symmetric matrices \\ 5. Non-Hermitian matrices \\ 6. Least squares and related problems \\ 7. The linear programming problem \\ R. S. Martin, G. Peters and J. H. Wilkinson / Symmetric decomposition of a positive definite matrix / 9--30 \\ Martin, Peters and Wilkinson / Iterative refinement of the solution of a positive definite system of equations / 31--44 \\ F. L. Bauer and C. Reinsch / Inversion of positive definite matrices by the Gauss-Jordan method / 45--49 \\ Martin and Wilkinson / Symmetric decomposition of positive definite band matrices / 50--56 \\ T. Ginsburg / The conjugate gradient method / 57--69 \\ Martin and Wilkinson / Solution of symmetric and unsymmetric band equations and the calculation of eigenvectors of band matrices / 70--92 \\ H. J. Bowdler, Martin, Peters and Wilkinson / Solution of real and complex systems of linear equations / 93--110 \\ P. Businger and G. H. Golub / Linear least squares solutions by Householder transformations / 111--118 \\ Bauer / Elimination with weighted row combinations for solving linear equations and least squares problems / 119--133 \\ Golub and Reinsch / Singular value decomposition and least squares solutions / 134--151 \\ R. H. Bartels, J. Stoer and Ch. Zenger / A realization of the simplex method based on triangular decompositions / 152--190 \\ Part II: The algebraic eigenvalue problem \\ Wilkinson / Introduction to Part II / 191--201 \\ 1. Introduction \\ 2. List of procedures \\ 3. Real, dense, symmetric matrices \\ 4. Symmetric band matrices \\ 5. Simultaneous determination of dominant eigenvalues and eigenvectors of a symmetric sparse matrix \\ 6. The generalized symmetric eigenvalue problems $A x = \lambda B x$ and $A B x = \lambda x$ \\ 7. Hermitian matrices \\ 8. Real dense unsymmetric matrices \\ 9. Unsymmetric band matrices \\ 10. Dense unsymmetric matrices with complex elements, H. Rutishauser / The Jacobi method for real symmetric matrices / 202--211 \\ Martin, Reinsch and Wilkinson / Householder's tridiagonalization of a symmetric matrix / 212--226 \\ H. Bowdler, Martin, Reinsch and Wilkinson / The $QR$ and $QL$ algorithms for symmetric matrices / 227--240 \\ A. Dubrulle, Martin and Wilkinson / The implicit $QL$ algorithm / 241--248 \\ W. Barth, Martin, and Wilkinson / Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection / 249--256 \\ Reinsch and Bauer / Rational $QR$ transformation with Newton shift for symmetric tridiagonal matrices / 257--265 \\ Martin, Reinsch and Wilkinson / The $QR$ algorithm for band symmetric matrices / 266--272 \\ H. R. Schwarz / Tridiagonalization of a symmetric band matrix / 273--283 \\ Rutishauser / Simultaneous iteration method for symmetric matrices / 284--302 \\ Martin and Wilkinson / Reduction of the symmetric eigenproblem $A x = \lambda B x$ and related problems to standard form / 303--314 \\ B. N. Parlett and Reinsch / Balancing a matrix for calculation of eigenvalues and eigenvectors / 315--326 \\ P. J. Eberlein and J. Boothroyd / Solution to the eigenproblem by a norm reducing Jacobi type method / 327--338 \\ Martin and Wilkinson / Similarity reduction of a general matrix to Hessenberg form / 339--358 \\ Martin, Peters and Wilkinson / The $QR$ algorithm for real Hessenberg matrices / 359--371 \\ Peters and Wilkinson / Eigenvectors of real and complex matrices by $LR$ and $QR$ triangularizations / 372--395 \\ Martin and Wilkinson / The modified $LR$ algorithm for complex Hessenberg matrices / 396--403 \\ Eberlein / Solution to the complex eigenproblem by a norm reducing Jacobi type method / 404--417 \\ Peters and Wilkinson / The calculation of specified eigenvectors by inverse iteration / 418--439", }