%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.30", %%% date = "02 January 2024", %%% time = "07:13:03 MST", %%% filename = "mathcomp1980.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", %%% FAX = "+1 801 581 4148", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "43811 35293 144237 1439663", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "BibTeX, bibliography, Mathematics of %%% Computation, Mathematical Tables and Aids %%% to Computation, Mathematical Tables and %%% Other Aids to Computation", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a COMPLETE bibliography of %%% publications for the decade 1980--1989 in %%% the American Mathematical Society journals %%% Mathematics of Computation (ISSN 0025-5718 %%% (print), ISSN 1088-6842 (electronic), CODEN %%% MCMPAF), which began publishing in January %%% 1960, as the successor to Mathematical %%% Tables and Other Aids to Computation (ISSN %%% 0891-6837, CODEN MTTCAS) (October 1943 -- %%% December 1959), which in turn succeeded %%% Mathematical Tables and Aids to Computation %%% (January 1943 -- July 1943). %%% %%% At version 2.00, the large number of %%% publications in these journals required the %%% splitting of the original file, %%% mathcomp.bib, into decade-specific files, %%% mathcomp19xy.bib, and the withdrawal of the %%% mathcomp.* files. %%% %%% The journal has a World-Wide Web site at %%% %%% http://www.ams.org/mcom/ %%% %%% It provides tables of contents data for %%% 1996--date. %%% %%% There is also complete coverage of all %%% journal issues with full text available to %%% members of subscribing institutions in the %%% JSTOR archive at %%% %%% http://www.jstor.org/journals/08916837.html %%% %%% At version 2.30, the year coverage looked %%% like this: %%% %%% 1980 ( 109) 1994 ( 1) 2008 ( 0) %%% 1981 ( 111) 1995 ( 0) 2009 ( 0) %%% 1982 ( 117) 1996 ( 0) 2010 ( 0) %%% 1983 ( 112) 1997 ( 0) 2011 ( 0) %%% 1984 ( 101) 1998 ( 0) 2012 ( 0) %%% 1985 ( 104) 1999 ( 0) 2013 ( 0) %%% 1986 ( 127) 2000 ( 0) 2014 ( 0) %%% 1987 ( 113) 2001 ( 0) 2015 ( 0) %%% 1988 ( 105) 2002 ( 0) 2016 ( 0) %%% 1989 ( 98) 2003 ( 0) 2017 ( 0) %%% 1990 ( 1) 2004 ( 0) 2018 ( 0) %%% 1991 ( 0) 2005 ( 0) 2019 ( 1) %%% %%% Article: 1098 %%% Book: 1 %%% Proceedings: 1 %%% %%% Total entries: 1100 %%% %%% This journal is unusual in that issue %%% numbers increase uniformly, without a fixed %%% number of issues per volume. Early volumes %%% did not assign months, but by the 1960s, %%% each issue included a month, although the %%% publication month appears to be irregular. %%% Regrettably, the MathSciNet database, which %%% supplied the data for many of the entries %%% below, does not record month data. %%% %%% The final pages of each issue are devoted %%% to reviews, and brief (sometimes only a few %%% lines) communications about errata in %%% published mathematical tables. In some, %%% the author is identified, but in others, %%% only author initials are supplied. %%% Bibliographic data for this end matter %%% appears to be somewhat unreliably recorded %%% in journal databases, even in the %%% publisher's own MathSciNet database. %%% %%% Data for the bibliography has been %%% collected from the OCLC Contents1st %%% database, from the bibliographies in the %%% TeX User Group collection, from %%% bibliographies in the author's personal %%% files, from the IEEE INSPEC CD ROM %%% databases (1989--Sep 1996), and from the %%% computer science bibliography collection on %%% ftp.ira.uka.de in /pub/bibliography to %%% which many people of have contributed. The %%% snapshot of this collection was taken on %%% 5-May-1994, and it consists of 441 BibTeX %%% files, 2,672,675 lines, 205,289 entries, %%% and 6,375 String{} abbreviations, %%% occupying 94.8MB of disk space. %%% %%% For version 2.00, data from the JSTOR %%% database was merged in. This database %%% provides complete page images of the entire %%% journal, and allows full-text searching into %%% OCR text derived from the page images. %%% %%% Mathematical markup, which is required %%% extensively in this journal, was evidently %%% added by hand. The result is that there are %%% frequent discrepancies between the MathSciNet %%% and JSTOR titles; when these did not appear %%% to be typographically similar, the original %%% journal pages were consulted, and generally %%% given preference. Also, JSTOR markup is %%% generally in LaTeX2e form, while the %%% MathSciNet markup is in plain TeX form, and %%% often includes typographically niceties like %%% thin spaces, which the JSTOR markup omits. %%% %%% The JSTOR author and title data is often %%% missing accents; sometimes these accents %%% appeared in the original journal text, and %%% sometimes not. MathSciNet has the practice %%% of supplying accents, particularly in %%% personal names, even when they are missing %%% from the original publication. Since the %%% loss of accents in the latter sometimes %%% reflected technological limitations in the %%% journal typesetting, and since the accents %%% are essential in the languages from which %%% those personal names came, I have followed %%% the MathSciNet convention, and provided %%% accents were possible. Nevertheless, since %%% it is not feasible for me to check every %%% journal title page, and MathSciNet covers %%% only about half the publications in this %%% journal, some accents surely still remain %%% missing. %%% %%% Although the JSTOR author and title data may %%% have been derived from the OCR text of the %%% journal pages, the need for extensive %%% mathematical markup appears to have %%% introduced many other errors. Whenever a %%% discrepancy between JSTOR and MathSciNet was %%% detected, the original journal title pages %%% were consulted. %%% %%% Finally, MathSciNet has a practice of %%% including additional information, such as %%% journal citation and MRnumber data, in titles %%% that comment on other articles, or for %%% articles that are accompanied by supplements. %%% Since this additional information is helpful, %%% I have retained it, even though it does not %%% appear in the original title. In retrospect, %%% I probably should have introduced a separate %%% MRtitle key/value pair to distinguish between %%% them, but the effort to merge in the JSTOR %%% data has exhausted me. %%% %%% 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, using ``bibsort -byvolume''. %%% %%% 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.", %%% } %%% ==================================================================== %%% \ocirc is a ring-on-top accent @Preamble{"\input bibnames.sty" # "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" # "\ifx \mathbb \undefined \def \mathbb #1{{\bf #1}}\fi" # "\ifx \ocirc \undefined \def \ocirc #1{{\accent'27#1}}\fi" # "\hyphenation{ Ber-co-vier Rich-ard Tzan-a-kis }" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-jr = "Jon Rokne, Department of Computer Science, The University of Calgary, 2500 University Drive N.W., Calgary, Alberta T2N 1N4, Canada"} @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, FAX: +1 801 581 4148, 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-nj = "Norbert Juffa, 2445 Mission College Blvd. Santa Clara, CA 95054 USA email: \path=norbert@iit.com="} %%% ==================================================================== %%% Journal abbreviations: @String{j-MATH-COMPUT = "Mathematics of Computation"} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-AMS = "American Mathematical Society"} @String{pub-AMS:adr = "Providence, RI, USA"} %%% ==================================================================== %%% Bibliography entries. This journal has appeared quarterly since %%% volume 1 in 1943 up to 1980, so missing month information has been %%% supplied according to the following table: %%% %%% Number Month %%% 4n+1 jan %%% 4n+2 apr %%% 4n+3 jul %%% 4n oct %%% %%% From 1980 to 1994, there were two volumes each year. @Article{Crandall:1980:MDA, author = "Michael G. Crandall and Andrew Majda", title = "Monotone difference approximations for scalar conservation laws", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "1--21", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05", MRnumber = "81b:65079", MRreviewer = "Christopher Caldwell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Winther:1980:CFE, author = "Ragnar Winther", title = "A conservative finite element method for the {Korteweg--de Vries} equation", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "23--43", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (35Q20)", MRnumber = "81a:65108", MRreviewer = "Stephen W. Brady", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Ostfold Distriktshogskole, Halden, Norway", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference schemes; differential equations; finite element analysis; finite element method; Korteweg de Vries equation; partial; partial differential equations; space variable; stable fully discrete methods; twelve point finite; unconditionally", treatment = "T Theoretical or Mathematical", } @Article{Engquist:1980:SES, author = "Bj{\"o}rn Engquist and Stanley Osher", title = "Stable and entropy satisfying approximations for transonic flow calculations", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "45--75", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (65M05 76H05)", MRnumber = "81b:65082", MRreviewer = "Joseph Oliger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/Multi.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Schatz:1980:WDM, author = "Alfred H. Schatz", title = "A weak discrete maximum principle and stability of the finite element method in $ {L}_{\infty } $ on plane polygonal domains. {I}", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "77--91", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "81e:65063", MRreviewer = "B. I. Kvasov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundedness; continuous piecewise polynomials; convergence of numerical methods; discrete harmonic; finite element; finite element analysis; functions; method; partial differential equations; plane polygonal domains; polynomials; quasi uniform mesh; stability; weak discrete maximum principle", treatment = "T Theoretical or Mathematical", } @Article{Thomee:1980:NNE, author = "Vidar Thom{\'e}e", title = "Negative norm estimates and superconvergence in {Galerkin} methods for parabolic problems", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "93--113", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N15 (65N30)", MRnumber = "81a:65092", MRreviewer = "N. Gass", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Winther:1980:IVM, author = "Ragnar Winther", title = "Initial Value Methods for Parabolic Control Problems", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "115--125", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65K10 (49D05 65Mxx)", MRnumber = "80k:65060", MRreviewer = "William W. Hager", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1330 (Optimal control); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value control; boundary-value problems; differential equations; iterative methods; Neumann; optimal control; parabolic control problems; partial; strictly convex functional", treatment = "T Theoretical or Mathematical", } @Article{Parter:1980:RSC, author = "Seymour V. Parter", title = "On the roles of {``stability''} and {``convergence''} in semidiscrete projection methods for initial-value problems", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "127--154", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N35 (34G99)", MRnumber = "81a:65110", MRreviewer = "P. C. Jain", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Werschulz:1980:CCO, author = "Arthur G. Werschulz", title = "Computational complexity of one-step methods for systems of differential equations", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "155--174", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (34A50 68C25)", MRnumber = "81a:65069", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value; boundary-value problems; complexity bounds; computational complexity; differential equations; fast power; initial value problem; one step methods; problems; Runge Kutta methods; series techniques; Taylor series method", treatment = "T Theoretical or Mathematical", } @Article{Troesch:1980:SMA, author = "B. A. Troesch", title = "The Shooting Method Applied to a Cyclic Inequality", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "175--184", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10E20", MRnumber = "81b:10022", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Miel:1980:MSE, author = "George J. Miel", title = "Majorizing sequences and error bounds for iterative methods", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "185--202", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J05 (47H10)", MRnumber = "81h:65056", MRreviewer = "L. B. Rall", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math. Sci., Univ. of Nevada, Las Vegas, NV, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Banach space; convergence theory; error analysis; error bounds; infinite series; iterative methods; Kantorovich theorem; Newton iterates; Rheinboldt; sequences; stronger hypotheses", treatment = "T Theoretical or Mathematical", } @Article{Evans:1980:LSE, author = "John W. Evans and William B. Gragg and Randall J. LeVeque", title = "On least squares exponential sum approximation with positive coefficients", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "203--211", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (41A35)", MRnumber = "81b:65015", MRreviewer = "Dietrich Braess", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lyness:1980:QEF, author = "J. N. Lyness and G. Monegato", title = "Quadrature error functional expansions for the simplex when the integrand function has singularities at vertices", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "213--225", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55 41A60)", MRnumber = "80m:65017", MRreviewer = "Thomas A. Atchison", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dickinson:1980:SLE, author = "Bradley W. Dickinson", title = "Solution of linear equations with rational {Toeplitz} matrices", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "227--233", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F05", MRnumber = "81h:65025", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Marsaglia:1980:GRV, author = "George Marsaglia", title = "Generating Random Variables With a $t$-Distribution", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "235--236", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10", MRnumber = "81a:65015", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Distributed/QLD.bib; Distributed/QLD/1980.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Schonfelder:1980:VHA, author = "J. L. Schonfelder", title = "Very high accuracy {Chebyshev} expansions for the basic trigonometric functions", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "237--244", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20", MRnumber = "81f:65016", MRreviewer = "Claude Carasso", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Plesken:1980:MFIa, author = "Wilhelm Plesken and Michael Pohst", title = "On Maximal Finite Irreducible Subgroups of $ {GL}(n, \mathbf {Z}) $: {III}. The Nine Dimensional Case", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "245--258", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20C10", MRnumber = "81b:20012a", MRreviewer = "Wolfgang Knapp", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Plesken:1980:MFIb, author = "Wilhelm Plesken and Michael Pohst", title = "On Maximal Finite Irreducible Subgroups of $ {GL}(n, \mathbf {Z}) $: {IV}. Remarks on Even Dimensions with Applications to $ n = 8 $", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "259--275", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20C10", MRnumber = "81b:20012b", MRreviewer = "Wolfgang Knapp", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Plesken:1980:MFIc, author = "Wilhelm Plesken and Michael Pohst", title = "On Maximal Finite Irreducible Subgroups of $ {GL}(n, \mathbf {Z}) $: {V}. The Eight Dimensional Case and a Complete Description of Dimensions Less Than Ten", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "277--301", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "loose microfiche suppl. 20C10", MRnumber = "81b:20012c", MRreviewer = "Wolfgang Knapp", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Templer:1980:P, author = "Mark Templer", title = "On the Primality of $ k! + 1 $ and $ 2 \ast 3 \ast 5 \ast \cdots \ast p + 1 $", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "303--304", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "80j:10010", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brent:1980:SNA, author = "Richard P. Brent and Edwin M. McMillan", title = "Some new algorithms for high-precision computation of {Euler}'s constant", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "305--312", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10-04 (10A40 68C05)", MRnumber = "82g:10002", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Univ. of California, Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; computation; Euler's constant; function evaluation; high precision", treatment = "N New Development; T Theoretical or Mathematical", } @Article{MacLean:1980:RCP, author = "D. W. MacLean", title = "Residue Classes of the Partition Function", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "313--317", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10-04 (10A45)", MRnumber = "81a:10002", MRreviewer = "T{\o}rleiv Klove", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Guy:1980:CWD, author = "Richard K. Guy and J. L. Selfridge", title = "Corrigendum to: {``What drives an aliquot sequence?''} {[Math. Comp. {\bf 29} (1975), 101--107, MR {\bf 52} \#5542]}", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "319--321", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A20 (10L10)", MRnumber = "81f:10008", MRreviewer = "Stefan A. Burr", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Salzer:1980:MCF, author = "Herbert E. Salzer", title = "Misstatements in {Milne-Thomson, Calculus of Finite Differences, Macmillan, London, 1933}", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "323--324", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65Q05 (39A05)", MRnumber = "81e:65067", MRreviewer = "Peter Lancaster", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", xxnote = "MathSciNet has ``Misstatements in: {{\em The calculus of finite differences} [Macmillan, London, 1933] by L. M. Milne-Thomson. Zbl 8}'', but the above is what appears in the original journal.", } @Article{JW:1980:C, author = "J. W.", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "332--332", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", note = "Original journal has only `J. W.' as author.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lynch:1980:HOD, author = "Robert E. Lynch and John R. Rice", title = "A high-order difference method for differential equations", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "333--372", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10", MRnumber = "82b:65070", MRreviewer = "Robert D. Russell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fatunla:1980:NIS, author = "Simeon Ola Fatunla", title = "Numerical integrators for stiff and highly oscillatory differential equations", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "373--390", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "81k:65080", MRreviewer = "Karl-Heinz Bachmann", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. of Benin, Benin City, Nigeria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; highly oscillatory differential equations; integration; Lipschitz constants; numerical", treatment = "T Theoretical or Mathematical", } @Article{Karlsen:1980:CSS, author = "Lasse K. Karlsen", title = "Computation of steady shocks by second-order finite-difference schemes", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "391--400", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (76L05)", MRnumber = "81j:65102", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Baker:1980:CGA, author = "Garth A. Baker and Vassilios A. Dougalis", title = "On the $ {L}^{\infty }$-convergence of {Galerkin} approximations for second-order hyperbolic equations", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "401--424", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M15 (65N30)", MRnumber = "81f:65066", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hackbusch:1980:CMG, author = "Wolfgang Hackbusch", title = "Convergence of multi-grid iterations applied to difference equations", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "425--440", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N20 (65F10)", MRnumber = "83b:65112", MRreviewer = "Robert Beauwens", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. zu Koln, Koln, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; convergence; convergence of numerical methods; difference equations; finite element equations; Gauss Seidel iteration; iterations; iterative methods; Lipschitzian regions; multi grid", treatment = "T Theoretical or Mathematical", } @Article{Dupont:1980:PAF, author = "Todd Dupont and Ridgway Scott", title = "Polynomial approximation of functions in {Sobolev} spaces", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "441--463", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (41A10)", MRnumber = "81h:65014", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290F (Interpolation and function approximation); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "averaged Taylor series; function approximation; polynomial; polynomials; Sobolev spaces; topology", treatment = "T Theoretical or Mathematical", } @Article{Paige:1980:EAS, author = "C. C. Paige", title = "Error Analysis of Some Techniques for Updating Orthogonal Decompositions", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "465--471", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F30", MRnumber = "81h:65040", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "math, nla, qrd, updating, rounding error", } @Article{Manteuffel:1980:IFT, author = "T. A. Manteuffel", title = "An Incomplete Factorization Technique for Positive Definite Linear Systems", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "473--497", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (15A06)", MRnumber = "82c:65019", MRreviewer = "R. E. Funderlic", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nla, preconditioning, incomplete factorization", } @Article{Shanno:1980:VMM, author = "D. F. Shanno", title = "On variable-metric methods for sparse {Hessians}", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "499--514", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65K10 (15A57 90C30)", MRnumber = "81j:65077", MRreviewer = "M. T. Heath", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stokes:1980:SQD, author = "A. N. Stokes", title = "A Stable Quotient-Difference Algorithm", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "515--519", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (41A21)", MRnumber = "81i:65019", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Marti:1980:CAC, author = "J. T. Marti", title = "On the convergence of an algorithm computing minimum-norm solutions of ill-posed problems", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "521--527", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J10 (47A50)", MRnumber = "83g:65058", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bound; convergence; convergence of numerical methods; error; finite element algorithm; finite element analysis; Hilbert space; ill posed; minimum norm solutions; problems; second derivative", treatment = "T Theoretical or Mathematical", } @Article{Shrager:1980:NCF, author = "Richard I. Shrager and Edward {Hill, Jr.}", title = "Nonlinear curve-fitting in the $ {L}_1 $ and $ {L}_{\infty } $ norms", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "529--541", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A45 (41A50 65D10)", MRnumber = "83g:41027", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lab. of Appl. Studies, Nat. Insts. of Health, Bethesda, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "curve fitting; Levenberg Marquardt method; linear programming; nonlinear curve fitting; search parameter; trial parameters", treatment = "T Theoretical or Mathematical", } @Article{Minoli:1980:IFG, author = "Daniel Minoli", title = "Inductive Formulae for General Sum Operations", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "543--545", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B15 (10J06 40-04)", MRnumber = "81g:65002", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Char:1980:SCF, author = "Bruce W. Char", title = "On {Stieltjes}' continued fraction for the gamma function", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "547--551", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (65D20)", MRnumber = "81b:65008", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fransen:1980:HPV, author = "Arne Frans{\'e}n and Staffan Wrigge", title = "High-precision values of the gamma function and of some related coefficients", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "553--566", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (65D20)", MRnumber = "81f:65004", MRreviewer = "F. W. J. Olver", bibdate = "Sat Apr 01 10:12:58 2000", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", note = "See addendum and corrigendum \cite{Fransen:1981:ACH}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Williams:1980:CRP, author = "H. C. Williams and G. Cormack and E. Seah", title = "Calculation of the Regulator of a Pure Cubic Field", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "567--611", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A45 (12A30 12A50)", MRnumber = "81d:12003", MRreviewer = "J. C. Lagarias", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{James:1980:GOO, author = "Rodney James", title = "The Groups of Order $ p^6 $ ($p$ an Odd Prime)", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "613--637", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20D15", MRnumber = "81a:20024", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Minoli:1980:INH, author = "Daniel Minoli", title = "Issues in Nonlinear Hyperperfect Numbers", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "639--645", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A20", MRnumber = "82c:10005", MRreviewer = "Masao Kishore", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wagstaff:1980:DCS, author = "Samuel S. {Wagstaff, Jr.}", title = "$p$-divisibility of certain sets of {Bernoulli} numbers", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "647--649", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A40 (12A50)", MRnumber = "81i:10018", MRreviewer = "T. Mets{\"a}nkyl{\"a}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1980:C, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "652--652", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1980:EHO, author = "James H. Bramble and Peter H. Sammon", title = "Efficient Higher Order Single Step Methods for Parabolic Problems: Part {I}", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "655--677", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65M15)", MRnumber = "81h:65110", MRreviewer = "G. W. Hedstrom", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; boundary-value problems; differential equations; Galerkin type; high order methods; initial boundary value problem; iterative methods; parabolic problems; partial; preconditioned iterative technique; single step methods; spatial variables", treatment = "T Theoretical or Mathematical", } @Article{deBoor:1980:CAE, author = "Carl {de Boor} and Blair Swartz", title = "Collocation approximation to eigenvalues of an ordinary differential equation: the principle of the thing", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "679--694", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L15", MRnumber = "81k:65097", MRreviewer = "Steven M. Serbin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/nld.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Res. Center, Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "collocation approximation; compact linear maps; differential equations; eigenvalues; eigenvalues and eigenfunctions; Gauss points; ordinary differential equation; piecewise polynomial functions; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Berger:1980:GOS, author = "Alan E. Berger and Jay M. Solomon and Melvyn Ciment and Stephen H. Leventhal and Bernard C. Weinberg", title = "Generalized {OCI} schemes for boundary layer problems", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "695--731", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (65M10)", MRnumber = "81f:65057", MRreviewer = "C. Wayne Mastin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Naval Surface Weapons Center, Silver Spring, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary layer problems; difference equations; discrete maximum; error estimates; fourth order difference schemes; OCI schemes; operation compact implicit schemes; principle; problems; Reynolds number limitation; singular perturbation", treatment = "T Theoretical or Mathematical", } @Article{Swartz:1980:CID, author = "Blair Swartz", title = "Compact, implicit difference schemes for a differential equation's side conditions", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "733--746", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (65L05)", MRnumber = "81f:65063", MRreviewer = "P. M. Dew", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Los Alamos Sci. Lab., Univ. of California, Los Alamos, NM, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate; compact; convergence of numerical methods; convergence rates; differential equation's side conditions; differential equations; divided difference data; implicit difference scheme; initial divided differences; interior difference equations; linear ordinary differential equation; polynomial exactness; polynomials; shooting; solution", treatment = "T Theoretical or Mathematical", } @Article{Lundin:1980:CFM, author = "L. R. Lundin", title = "A cardinal function method of solution of the equation {$ {\Delta } u = u - u^3 $}", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "747--756", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65P05", MRnumber = "81g:65172", MRreviewer = "Eugene Allgower", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Computer and Information Sci., State Univ. Coll., Potsdam, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; cardinal function method; differential equations; function approximation; functional; Klein Gordon equation; zeros", treatment = "T Theoretical or Mathematical", } @Article{Maher:1980:ETT, author = "David P. Maher", title = "Existence theorems for transforms over finite rings with applications to {2-D} convolution", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "757--765", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10-04 (94B35)", MRnumber = "81f:10002", MRreviewer = "Jack K. Wolf", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Dept. of Math., Worcester Polytech. Inst., Worcester, MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2D convolution; arbitrary finite commutative rings; class rings; finite rings; Fourier like transforms; residue; transforms", treatment = "T Theoretical or Mathematical", } @Article{Cash:1980:NOA, author = "J. R. Cash", title = "A note on {Olver}'s algorithm for the solution of second-order linear difference equations", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "767--772", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65Q05", MRnumber = "81h:65124", MRreviewer = "R. M. M. Mattheij", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; linear difference equations; Olver's algorithm", treatment = "T Theoretical or Mathematical", } @Article{Nocedal:1980:UQN, author = "Jorge Nocedal", title = "Updating Quasi-{Newton} Matrices with Limited Storage", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "773--782", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65K05 (90C30)", MRnumber = "81g:65077", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/auto.diff.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0260 (Optimisation techniques); B0290H (Linear algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Univ. Nacional Autonoma de Mexico, Mexico City, Mexico", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "BFGS; iterative methods; limited storage; matrix algebra; minimisation; minimization methods; quasi Newtonian matrices; update formula", kwds = "nlop, quasi-Newton method, sparse", referred = "[Navo91a].", treatment = "T Theoretical or Mathematical", } @Article{Makroglou:1980:CBB, author = "Athena Makroglou", title = "Convergence of a block-by-block method for nonlinear {Volterra} integro-differential equations", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "783--796", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "81g:65180", MRreviewer = "Sean McKee", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Athens Univ., Athens, Greece", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "block by block method; convergence; convergence of numerical methods; equations; integro-differential; nonlinear Volterra integro differential", treatment = "T Theoretical or Mathematical", } @Article{Meek:1980:MVT, author = "D. Meek", title = "A Mean Value Theorem for Linear Functionals", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "797--802", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A58 (65G99)", MRnumber = "81f:41033", MRreviewer = "David R. Hill", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290D (Functional analysis); C4110 (Error analysis in numerical methods); C4120 (Functional analysis)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discretization formulas; error analysis; errors; function evaluation; linear functionals; mean value theorem; Peano kernel", treatment = "T Theoretical or Mathematical", } @Article{Larkin:1980:RFF, author = "F. M. Larkin", title = "Root-Finding by Fitting Rational Functions", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "803--816", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H05", MRnumber = "81k:65049", MRreviewer = "Erich Bohl", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computing and Information Sci., Queen's Univ., Kingston, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abscissae; analytic function; asymptotic convergence properties; finding; function approximation; rational functions; root; tabular recursive method", treatment = "T Theoretical or Mathematical", } @Article{Skeel:1980:IRI, author = "Robert D. Skeel", title = "Iterative Refinement Implies Numerical Stability for {Gaussian} Elimination", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "817--832", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F05 (65F35)", MRnumber = "83e:65058", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; column pivoting; convergence of numerical methods; Gaussian elimination; iterative refinement; matrix; matrix algebra; numerical stability; row pivoting; scaling problems", kwds = "nla, lud, rounding error", treatment = "T Theoretical or Mathematical", } @Article{Sidi:1980:ACT, author = "Avram Sidi", title = "Analysis of convergence of the $ {T}$-transformation for power series", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "833--850", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A60 (40A05 40A25 41A25)", MRnumber = "83d:41039", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Computer Sci., Technion-Israel Inst. of Technol., Haifa, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; Levin's; nonlinear sequence transformations; power series; T-transformation; transforms", treatment = "T Theoretical or Mathematical", } @Article{Sidi:1980:NQN, author = "Avram Sidi", title = "Numerical quadrature and nonlinear sequence transformations; unified rules for efficient computation of integrals with algebraic and logarithmic endpoint singularities", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "851--874", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (41A55)", MRnumber = "81h:65017", MRreviewer = "S. Dubuc", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Computer Sci. Dept., Technion-Israel Inst. of Technol., Haifa, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abscissas; algebraic endpoint singularities; convergence; endpoint singularities; formulas; Gaussian formulas; integrals; integration; interpolatory type; logarithmic; nonlinear sequence transformations; numerical integration; numerical quadrature", treatment = "T Theoretical or Mathematical", } @Article{Bultheel:1980:RAM, author = "Adhemar Bultheel", title = "Recursive algorithms for the matrix {Pad{\'e}} problem", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "875--892", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A21 (65D15)", MRnumber = "81h:41017", MRreviewer = "Hans-J{\"u}rgen Albrand", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Katholieke Univ. Leuven, Heverlee, Belgium", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "interpretation; matrix algebra; matrix Pad{\'e} problem; matrix triangularization; recursive algorithms; Trench Zohar algorithm", treatment = "T Theoretical or Mathematical", } @Article{Horner:1980:RRC, author = "T. S. Horner", title = "Recurrence relations for the coefficients in {Chebyshev} series solutions of ordinary differential equations", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "893--905", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (65D20)", MRnumber = "81d:65038", MRreviewer = "L. F. Shampine", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Wollongong, Wollongong, NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev series solutions; differential equations; linear differential equations; ordinary differential equations; polynomial coefficient; polynomials; recurrence relations", treatment = "T Theoretical or Mathematical", } @Article{Philip:1980:CPC, author = "J. R. Philip", title = "The convergence and partial convergence of alternating series", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "907--916", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "40A05 (65B10)", MRnumber = "81h:40004", MRreviewer = "Tikam Singh", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Div. of Environmental Mech., CSIRO, Canberra, ACT, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "alternating series; Bernoulli; convergence; convergence of numerical methods; Euler Maclaurin expansion; monotonic function; numbers; partial convergence", treatment = "T Theoretical or Mathematical", } @Article{Allasia:1980:NET, author = "G. Allasia and F. Bonardo", title = "On the Numerical Evaluation of Two Infinite Products", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "917--931", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (65A05)", MRnumber = "81f:65013", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Inst. of Numerical Analysis, Univ. of Turin, Turin, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function evaluation; infinite products; numerical evaluation; series expansion", treatment = "T Theoretical or Mathematical", } @Article{Isaacs:1980:ELF, author = "Godfrey L. Isaacs", title = "Exponential Laws for Fractional Differences", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "933--936", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "39A05", MRnumber = "82e:39001", MRreviewer = "B. M. Agrawal", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Herbert H. Lehman Coll., City Univ. of New York, New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; exponent law; fractional differences", treatment = "T Theoretical or Mathematical", } @Article{Tretter:1980:FCC, author = "Marietta J. Tretter and G. W. Walster", title = "Further comments on the computation of modified {Bessel} function ratios", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "937--939", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A40", MRnumber = "81d:33005", MRreviewer = "James M. Horner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function approximation; modified Bessel function ratios", treatment = "T Theoretical or Mathematical", } @Article{Leon:1980:AFB, author = "Jeffrey S. Leon", title = "On an algorithm for finding a base and a strong generating set for a group given by generating permutations", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "941--974", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20-04 (20F05)", MRnumber = "82i:20004", MRreviewer = "Colin M. Campbell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Univ. of Illinois, Chicago, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "base; computational group theory; group; group theory; permutations; strong generating set", treatment = "T Theoretical or Mathematical", } @Article{Gostin:1980:F, author = "Gary B. Gostin", title = "A Factor of $ {F}_{17} $", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "975--976", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "81f:10010", MRreviewer = "J. L. Selfridge", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods); C7310 (Mathematics computing)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "175; analysis; CDC Cyber; Compass assembly language; factoring; FORTRAN; machine implementation; mathematical; mathematical analysis; prime factor", treatment = "T Theoretical or Mathematical", } @Article{Howard:1980:SCB, author = "F. T. Howard", title = "A Special Class of {Bell} Polynomials", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "977--989", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A40 (05A15)", MRnumber = "82g:10028", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Wake Forest Univ., Winston-Salem, NC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bell polynomials; Bernoulli number; polynomials; Stirling number", treatment = "T Theoretical or Mathematical", } @Article{Agrawal:1980:ECC, author = "M. K. Agrawal and J. H. Coates and D. C. Hunt and A. J. {van der Poorten}", title = "Elliptic curves of conductor $ 11 $", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "991--1002", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10D12 (10B10 14K07)", MRnumber = "81e:10022", MRreviewer = "M. A. Kenku", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Panjab Univ., Chandigarh, India", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic numbers; conductor 11; differential equations; Diophantine equation; elliptic curves; inequalities; linear forms; logarithms; sharp; Taniyama Weil conjecture; Thue Mahler equation; topology", treatment = "T Theoretical or Mathematical", } @Article{Pomerance:1980:P, author = "Carl Pomerance and J. L. Selfridge and Samuel S. {Wagstaff, Jr.}", title = "The Pseudoprimes to $ 25 \cdot 10^9 $", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "1003--1026", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A40 (10-04 10A25)", MRnumber = "82g:10030", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Math., Univ. of Illinois, Urbana, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Carmichael numbers; counting function; Lucas sequences; mathematical analysis; primality; pseudoprimes", treatment = "T Theoretical or Mathematical", } @Article{Hagis:1980:OPE, author = "Peter {Hagis, Jr.}", title = "Outline of a proof that every odd perfect number has at least eight prime factors", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "1027--1032", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A20", MRnumber = "81k:10004", MRreviewer = "Carl Pomerance", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "mathematical analysis; odd perfect number; prime factors", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1980:AMM, author = "I. Babu{\v{s}}ka and J. Osborn and J. Pitk{\"a}ranta", title = "Analysis of Mixed Methods Using Mesh Dependent Norms", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1039--1062", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15 73K10)", MRnumber = "81m:65166", MRreviewer = "Rolf Rannacher", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Univ. of Maryland, College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "biharmonic problem; bounded bilinear; computational complexity; finite dimensional space; form; function approximation; Hilbert space; mesh dependent norm; methods; numerical; point problem; Ritz Galerkin approximation; saddle", treatment = "A Application; T Theoretical or Mathematical", } @Article{Johnson:1980:CBI, author = "Claes Johnson and J.-Claude N{\'e}d{\'e}lec", title = "On the coupling of boundary integral and finite element methods", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1063--1079", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "82c:65072", MRreviewer = "Reinhard Scholz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Chalmers Technol. Inst., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic behaviour; boundary integral; bounded; bounded regular domain; coupling; differential operator; Dirichlet; error analysis; error estimate; finite element analysis; integral equations; problem; subdomain", treatment = "A Application; T Theoretical or Mathematical", } @Article{Pasciak:1980:SPS, author = "Joseph E. Pasciak", title = "Spectral and Pseudo Spectral Methods for Advection Equations", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1081--1092", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (65M15)", MRnumber = "81i:65073", MRreviewer = "E. H. Twizell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Appl. Math. Dept., Brookhaven Nat. Lab., Upton, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "advection equation; collocation projection; error analysis; finite dimensional subspace; finite element analysis; Galerkin projection; numerical methods; partial differential equations; polynomial; pseudo spectral method; spectral method; trigonometric", treatment = "A Application; T Theoretical or Mathematical", } @Article{Luskin:1980:FEM, author = "Mitchell Luskin", title = "A finite element method for first-order hyperbolic systems", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1093--1112", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65M15 76N15)", MRnumber = "81i:65092", MRreviewer = "E. H. Twizell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C1220 (Simulation, modelling and identification); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Univ. of Michigan, Ann Arbor, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; computational complexity; equations; error analysis; finite element; first order hyperbolic equation; isothermal; L/sup 2/ norm; modelling; momentum density; numerical methods; partial differential; spaces family; speed", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Pitkaranta:1980:LSC, author = "Juhani Pitk{\"a}ranta", title = "Local Stability Conditions for the {Babu{\v{s}}ka} Method of {Lagrange} Multipliers", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1113--1129", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "81m:65174", MRreviewer = "V. Thom{\'e}e", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Babu{\v{s}}ka method; bounded domain; connected domain; convergence of numerical methods; finite element analysis; integral equations; Lagrange multipliers; mesh dependent norm; stability; weight dependent norm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Goldstein:1980:VCE, author = "Charles I. Goldstein", title = "Variational crimes and $ {L}^{\infty } $ error estimates in the finite element method", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1131--1157", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15)", MRnumber = "81m:65169", MRreviewer = "V. Thom{\'e}e", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Applied Math. Dept., Brookhaven Nat. Lab., Upton, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; bilinear form; boundary-value problems; bounded domain; cosine; directional; error analysis; finite element; Galerkin method; integration; linear elliptic boundary value problem; patch test; second order boundary; smoothness; triangulation; value problem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cooper:1980:AMN, author = "G. J. Cooper and A. Sayfy", title = "Additive methods for the numerical solution of ordinary differential equations", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1159--1172", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "81k:65079", MRreviewer = "David K. Kahaner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "School of Math. and Phys. Sci., Univ. of Sussex, Brighton, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; decomposition; differential equations; finite element analysis; initial value problems; linear; matrices triple; ordinary differential equation; s-stage additive method; step length", treatment = "A Application; T Theoretical or Mathematical", } @Article{Alfeld:1980:MST, author = "Peter Alfeld", title = "A method of skipping the transient phase in the solution of separably stiff ordinary initial value problems", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1173--1176", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "81k:65076", MRreviewer = "David K. Kahaner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "derivative; differential equations; gradient projection technique; initial value problems; methods; numerical; skipping method; stiff component; stiff ordinary initial value problem; transient phase", treatment = "A Application; T Theoretical or Mathematical", } @Article{Katti:1980:FDS, author = "C. P. Katti", title = "Five-diagonal sixth order methods for two-point boundary value problems involving fourth order differential equations", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1177--1179", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10", MRnumber = "81k:65089", MRreviewer = "David K. Kahaner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Indian Inst. of Technol., New Delhi, India", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary; boundary-value problems; coefficient matrix; condition; difference equations; differential equations; five diagonal system; fourth order differential equation; linear; numerical methods; point boundary value problem; sixth order method; two", treatment = "A Application; T Theoretical or Mathematical", } @Article{Corliss:1980:IOC, author = "George F. Corliss", title = "Integrating {ODEs} in the complex plane---pole vaulting", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1181--1189", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (34A20)", MRnumber = "81m:65115", MRreviewer = "Jack Williams", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Math. and Statistics, Marquette Univ., Milwaukee, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex plane pole vaulting; derivative; differential equations; integration; method; multistep method; numerical methods; path testing; Taylor series", treatment = "A Application; T Theoretical or Mathematical", } @Article{Neta:1980:DBP, author = "Beny Neta", title = "On determination of best-possible constants in integral inequalities involving derivatives", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1191--1193", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "26D15 (46E30 65J99)", MRnumber = "81m:26014", MRreviewer = "J. Albrycht", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math. and Sci., Northern Illinois Univ., Dekalb, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; best possible constant; bound; derivative; integral equations; integral inequalities; L/sub 2/ norm; locally continuous space; lower bound; upper", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stynes:1980:FCB, author = "Martin Stynes", title = "On faster convergence of the bisection method for all triangles", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1195--1201", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "51N99 (65B99 65N30)", MRnumber = "81j:51023", MRreviewer = "V. Pereyra", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4100 (Numerical analysis)", corpsource = "Waterford Regional Tech. Coll., Waterford, Ireland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bisection method; convergence; finite element analysis; lower bound; mesh; midpoint; triangle; upper bound; vertices", treatment = "T Theoretical or Mathematical", } @Article{Ferguson:1980:CJP, author = "Warren E. {Ferguson, Jr.}", title = "The construction of {Jacobi} and periodic {Jacobi} matrices with prescribed spectra", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1203--1220", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F30 (15A18 58F07 65L15)", MRnumber = "82c:65027", MRreviewer = "Ludwig Elsner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; Hill equation; inverse eigenvalue; matrix algebra; periodic Jacobi matrice; spectral method; Sturm Liouville equation; tridiagonal matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Meinardus:1980:OPN, author = "G{\"u}nter Meinardus and G. D. Taylor", title = "Optimal Partitioning of {Newton}'s Method for Calculating Roots", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1221--1230", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H05 (41A30)", MRnumber = "81j:65069", MRreviewer = "Derek W. Arthur", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Math., Univ. of Siegen, Siegen, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cube root; domain interval; function approximation; iterative methods; method; Newton; optimal partitioning; reciprocal square root; square root; subinterval", treatment = "A Application; T Theoretical or Mathematical", } @Article{Serbin:1980:FCC, author = "Steven M. Serbin", title = "On Factoring a Class of Complex Symmetric Matrices Without Pivoting", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1231--1234", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F05", MRnumber = "81i:65025", MRreviewer = "Eugene L. Wachspress", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Tennessee, Knoxville, TN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bandwidth; Cholesky; complex Hermitian; complex symmetric matrice; decomposition; diagonal; factorisation; matrix algebra; numerical methods; pivoting; real Hermitian", kwds = "nla, lud, complex matrix, symmetric matrix, pivoting", treatment = "A Application; T Theoretical or Mathematical", } @Article{Anand:1980:NSN, author = "Indu Mati Anand", title = "Numerical Stability of Nested Dissection Orderings", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1235--1249", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F05 (65N20)", MRnumber = "82c:65014", MRreviewer = "Steven M. Serbin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "band; Cholesky; convergence of numerical methods; definite matrices; discretisation; factorisation; finite element analysis; matrix algebra; nested dissection ordering; ordering; positive matrices; sparse matrices", treatment = "A Application; T Theoretical or Mathematical", } @Article{Ericsson:1980:STL, author = "Thomas Ericsson and Axel Ruhe", title = "The spectral transformation {L{\'a}nczos} method for the numerical solution of large sparse generalized symmetric eigenvalue problems", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1251--1268", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15 (15A18 65N30)", MRnumber = "83b:65034", MRreviewer = "Alan L. Andrew", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Numerical Analysis, Univ. Umea, Umea, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "factorization; finite element analysis; generalized; Lanczos method; large sparse eigenvalue; linear system routine; matrix algebra; spectral transformation; subspace iteration; symmetric eigenvalue", kwds = "nla, geig, Lanczos algorithm, symmetric matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Martins:1980:AOI, author = "M. Madalena Martins", title = "On an accelerated overrelaxation iterative method for linear systems with strictly diagonally dominant matrix", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1269--1273", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10", MRnumber = "83h:65045", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Coimbra, Coimbra, Portugal", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accelerated overrelaxation method; eigenvalue; linear algebra; linear systems; lower bound; relaxation theory; strictly diagonally dominant matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Rabinowitz:1980:EDP, author = "Philip Rabinowitz", title = "The exact degree of precision of generalized {Gauss--Kronrod} integration rules", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1275--1283", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "81j:65047", MRreviewer = "David K. Kahaner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations)", corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Gauss Kronrod integration; Gegenbauer polynomial; integration; Lobatto rule; numerical methods; weight function", treatment = "A Application; T Theoretical or Mathematical", } @Article{King:1980:EOP, author = "Richard F. King", title = "An efficient one-point extrapolation method for linear convergence", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1285--1290", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B99 (65H05)", MRnumber = "82b:65004", MRreviewer = "Thomas A. Atchison", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Argonne Nat. Lab., Argonne, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; convergence of numerical methods; error equation; extrapolation; fixed point; function; linear convergence; Newton method; nonlinear function; one; point extrapolation", kwds = "nlop, extrapolation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gatteschi:1980:SOP, author = "Luigi Gatteschi", title = "On Some Orthogonal Polynomial Integrals", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1291--1298", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A65", MRnumber = "81h:33015", MRreviewer = "T. S. Chihara", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations)", corpsource = "Istituto di Calcoli Numerici, Univ. di Torino, Torino, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integral; integration; Laguerre polynomial; logarithmic derivative; modified moment; numerical methods; orthogonal polynomial; polynomial; shifted Jacobi polynomial; weight function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Vigneron:1980:GQI, author = "J. P. Vigneron and Ph. Lambin", title = "{Gaussian} quadrature of integrands involving the error function", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1299--1307", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (65D30)", MRnumber = "82b:65002", MRreviewer = "M. M. Chawla", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations)", corpsource = "Inst. de Phys., Univ. de Liege, Liege, Belgium", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error function; factors; Gaussian quadrature; grid spacing; integrand; integration; numerical methods; orthogonal polynomial; positive real axis; quadrature; weight; weight function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Boyd:1980:RCH, author = "John P. Boyd", title = "The Rate of Convergence of {Hermite} Function Series", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1309--1316", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "42C10", MRnumber = "81h:42020", MRreviewer = "R. A. Askey", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Atmospheric and Oceanic Sci., Univ. of Michigan, Ann Arbor, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic behaviour; convergence of numerical methods; expansion; Hermite function series; infinite subsequence; polynomials; Taylor", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cruz:1980:MPR, author = "Andr{\'e}s Cruz and Javier Sesma", title = "Modulus and phase of the reduced logarithmic derivative of the cylindrical {Bessel} function", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1317--1324", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A40 (65H05)", MRnumber = "82b:33010", MRreviewer = "H. E. Fettis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Fisica Teorica, Univ. de Zaragoza, Zaragoza, Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex variable; cylindrical Bessel function; derivative; function approximation; half integer index; logarithmic; modulus; phase; reduced logarithm; saddle points", treatment = "A Application; T Theoretical or Mathematical", } @Article{Fettis:1980:STI, author = "Henry E. Fettis", title = "On Some Trigonometric Integrals", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1325--1329", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A15 (33A10 33A70)", MRnumber = "82c:33003a", MRreviewer = "E. R. Love", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "closed form expression; complex; integration; plane; trigonometric integrals", treatment = "T Theoretical or Mathematical", } @Article{Levin:1980:ACI, author = "David Levin", title = "On accelerating the convergence of infinite double series and integrals", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1331--1345", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B10 (65D15)", MRnumber = "82b:65003", MRreviewer = "Thomas A. Atchison", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Tel-Aviv Univ., Ramat-Aviv, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximant; convergence of numerical methods; infinite double series; integrals; integration; N-dimensional series; Pad{\'e}; polynomials; power series", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wilker:1980:EAS, author = "Peter Wilker", title = "An Efficient Algorithmic Solution of the {Diophantine} Equation $ u^2 + 5 v^2 = m $", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1347--1352", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10B05 (10-04 10A25)", MRnumber = "81m:10021", MRreviewer = "R. P. Brent", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", corpsource = "Univ. Bern, Bern, Switzerland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; Diophantine equation; Euclidean space; linear algebra; prime; recursive sequence; solvability", treatment = "A Application; T Theoretical or Mathematical", } @Article{Willett:1980:AFF, author = "Michael Willett", title = "Arithmetic in a Finite Field", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1353--1359", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12-04 (68C20)", MRnumber = "81k:12003", MRreviewer = "J. C. Lagarias", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Univ. of North Carolina, Greensboro, NC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "addition; algorithm; digital arithmetic; error correcting code; finite field arithmetic; integer; integer multiplication; linear recursion; polynomial arithmetic", treatment = "T Theoretical or Mathematical", } @Article{Boyd:1980:RPH, author = "David W. Boyd", title = "Reciprocal Polynomials Having Small Measure", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1361--1377", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30C15 (12-04 26C05 65D20)", MRnumber = "82a:30005", MRreviewer = "M. Marden", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of British Columbia, Vancouver, BC, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; cyclotomic series; Graeffe method; integer coefficients; Kronecker theorem; monic polynomial; polynomials; root; squaring method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brillhart:1980:NIT, author = "John Brillhart", title = "Note on Irreducibility Testing", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1379--1381", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12-04 (10M05 68C20)", MRnumber = "83g:12002", MRreviewer = "Maurice Mignotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Arizona, Tucson, AZ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex plane; factor; integer coefficient; irreducibility; lie; polynomials; prime value; single occurrence; zero modulus", treatment = "T Theoretical or Mathematical", } @Article{Setzer:1980:DAI, author = "Bennett Setzer", title = "The determination of all imaginary, quartic, {Abelian} number fields with class number $1$", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1383--1386", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A30 (12A50)", MRnumber = "81k:12005", MRreviewer = "T. Mets{\"a}nkyl{\"a}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Math. Dept., Univ. of Illinois, Chicago, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Abelian number field; bicyclic quartic field; conductor; number theory; prime; quartic cyclic field; quartic residue", treatment = "T Theoretical or Mathematical", } @Article{Noll:1980:MP, author = "Curt Noll and Laura Nickel", title = "The $ 25 $ th and $ 26 $ th {Mersenne} Primes", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1387--1390", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25", MRnumber = "81k:10010", MRreviewer = "V. C. Harris", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "California State Univ., Hayward, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "enumeration; factor; Mersenne prime; number theory", treatment = "T Theoretical or Mathematical", } @Article{Baillie:1980:LP, author = "Robert Baillie and Samuel S. {Wagstaff, Jr.}", title = "{Lucas} Pseudoprimes", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1391--1417", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25", MRnumber = "81j:10005", MRreviewer = "V. C. Harris", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Univ. of Illinois, Urbana, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Little theorem; Lucas sequence; number theory; pseudoprime", treatment = "T Theoretical or Mathematical", } @Article{Cormack:1980:SVL, author = "G. V. Cormack and H. C. Williams", title = "Some Very Large Primes of the Form $ k \cdot 2^m + 1 $", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1419--1421", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25", MRnumber = "81i:10011", MRreviewer = "T. M. Apostol", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bisection; factor; Fermat number; multiplication; number theory; recursive; very large prime", treatment = "T Theoretical or Mathematical", } @Article{Williams:1980:ISC, author = "H. C. Williams", title = "Improving the speed of calculating the regulator of certain pure cubic fields", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1423--1434", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A30", MRnumber = "82a:12003", MRreviewer = "D. H. Lehmer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discriminant; divisor; fraction algorithm; function; number theory; prime; pure cubic field; regulator; square free; Voronoi algorithm", treatment = "T Theoretical or Mathematical", } @Article{Brent:1980:FOC, author = "Richard P. Brent", title = "The First Occurrence of Certain Large Prime Gaps", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1435--1436", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10-04 (10A25 65A05)", MRnumber = "81g:10002", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Computer Sci., Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic; behaviour; consecutive composite number; integer; number theory; prime", treatment = "T Theoretical or Mathematical", } @Article{Backstrom:1980:TEM, author = "Robert P. Backstrom", title = "Table errata: {``A method of factoring and the factorization of $ F_7 $''} {[Math. Comp. {\bf 29} (1975), 183--205, MR {\bf 51} \#8017] by M. A. Morrison and J. Brillhart}", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1444--1444", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25", MRnumber = "82b:10009", bibdate = "Wed Jan 15 09:14:29 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{CarlsonGallas:1980:TET, author = "Jason A. {Carlson Gallas}", title = "Table errata: {{\em Table of integrals, series Gallas and products} [English translation of the fourth Russian edition, Academic Press, New York, 1965 and MR {\bf 33} \#5952] by I. S. Grad{\v{s}}te{\u{\i}}n and I. M. Ry{\v{z}}ik}", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1444--1444", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05", MRnumber = "82c:65003", bibdate = "Wed Jan 15 08:37:24 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Krogh:1980:CRR, author = "Fred T. Krogh", title = "Corrigendum: {``Recurrence relations for computing with modified divided differences''} {[Math. Comp. {\bf 33} (1979), no. 148, 1265--1271, MR 80f:65094]}", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1445--1445", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65Q05 (65D99)", MRnumber = "82c:65087", bibdate = "Wed Jan 15 08:38:14 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{deBoor:1981:CAE, author = "Carl {de Boor} and Blair Swartz", title = "Collocation approximation to eigenvalues of an ordinary differential equation: numerical illustrations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "1--19", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L15", MRnumber = "82c:65053", MRreviewer = "Steven M. Serbin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Univ. of Wisconsin, Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate; bounds; collocation approximation; differential equations; eigenvalue problems; eigenvalues; eigenvalues and eigenfunctions; error; ordinary differential equation; ordinary differential operators", treatment = "T Theoretical or Mathematical", } @Article{deBoor:1981:LPP, author = "Carl {de Boor} and Blair Swartz", title = "Local piecewise polynomial projection methods for an {O.D.E.} which give high-order convergence at knots", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "21--33", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L15", MRnumber = "82f:65091", MRreviewer = "Steven M. Serbin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Univ. of Wisconsin, Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problem; boundary-value problems; collocation; convergence of numerical methods; differential equation; differential equations; eigenvalue problems; ordinary; piecewise polynomials; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Bank:1981:OOP, author = "Randolph E. Bank and Todd Dupont", title = "An optimal order process for solving finite element equations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "35--51", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F10)", MRnumber = "82b:65113", MRreviewer = "I. Norman Katz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", corpsource = "Univ. of Texas, Austin, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic equations; boundary-value problems; elliptic boundary value; finite element analysis; finite element equations; iterative; linear algebra; methods; optimal order process; problems; procedure", treatment = "T Theoretical or Mathematical", } @Article{Arnold:1981:SFE, author = "Douglas N. Arnold and Jim {Douglas, Jr.} and Vidar Thom{\'e}e", title = "Superconvergence of a finite element approximation to the solution of a {Sobolev} equation in a single space variable", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "53--63", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (35K70)", MRnumber = "82f:65108", MRreviewer = "J. D. Atkinson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Univ. of Maryland, College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; differential equations; finite element analysis; finite element approximation; Galerkin; method; quasilinear equation; Sobolev equation; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Winther:1981:SFE, author = "Ragnar Winther", title = "A stable finite element method for initial-boundary value problems for first-order hyperbolic systems", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "65--86", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "81m:65181", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Maths., Univ. of Chicago, Chicago, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; finite element analysis; finite element method; first-order hyperbolic systems; initial; initial-boundary value problems; value problems", treatment = "T Theoretical or Mathematical", } @Article{Layton:1981:EDD, author = "William J. Layton", title = "Estimates away from a discontinuity for dissipative {Galerkin} methods for hyperbolic equations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "87--92", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65M15)", MRnumber = "82b:65129", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Maths., Univ. of Tennessee, Knoxville, TN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discontinuity; dissipative Galerkin methods; hyperbolic equations; initial; initial value problems; partial differential equations; value problem", treatment = "T Theoretical or Mathematical", } @Article{LeRoux:1981:SNS, author = "A. Y. {Le Roux}", title = "Stability of Numerical Schemes Solving Quasi-Linear Wave Equations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "93--105", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35L67)", MRnumber = "82b:65088", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Lab. d'Analyse Numerique, Rennes, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary; conditions; equations; numerical schemes; partial differential equations; quasi-linear wave; Riemann invariants; Riemann problem; shock curves; stability", treatment = "T Theoretical or Mathematical", } @Article{Gottlieb:1981:SPC, author = "David Gottlieb", title = "The Stability of Pseudospectral-{Chebyshev} Methods", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "107--118", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N35)", MRnumber = "82b:65123", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev methods; coefficient hyperbolic equations; collocation points; hyperbolic problems; methods; parabolic problems; pseudospectral-Chebyshev; stability; variable", treatment = "T Theoretical or Mathematical", } @Article{Bardos:1981:VMF, author = "Claude Bardos and Michel Bercovier and Olivier Pironneau", title = "The Vortex Method with Finite Elements", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "119--136", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65M25 76C05)", MRnumber = "82c:65066", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Maths., Univ. of Paris, Paris, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; differential equations; Euler's equation; finite element analysis; finite element triangulation; finite elements; numerical solution; partial; partial differential equations; vortex method", treatment = "T Theoretical or Mathematical", } @Article{Descloux:1981:ASC, author = "Jean Descloux and Mitchell Luskin and Jacques Rappaz", title = "Approximation of the spectrum of closed operators: the determination of normal modes of a rotating basin", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "137--154", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (47A10 65J10)", MRnumber = "83h:65123", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0420C (Fundamental problems and general formalism in general relativity); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces); A4775 (Relativistic fluid dynamics); C4170 (Differential equations)", corpsource = "Ecole Polytech. Federale, Lausanne, Switzerland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Banach spaces; differential; differential equations; finite element analysis; finite element procedure; general relativity; partial; perturbation theory; relativistic fluid dynamics; rotating basin; rotational flow; spectral approximation; system", treatment = "T Theoretical or Mathematical", } @Article{Munz:1981:UEC, author = "Harry Munz", title = "Uniform expansions for a class of finite difference schemes for elliptic boundary value problems", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "155--170", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N05", MRnumber = "82b:65098", MRreviewer = "L. Fox", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. fur Biologie, Tubingen, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate solution; boundary-value problems; Dirichlet problem; elliptic boundary value problems; error bounds; finite difference schemes", treatment = "T Theoretical or Mathematical", } @Article{Iserles:1981:QMS, author = "A. Iserles", title = "Quadrature methods for stiff ordinary differential systems", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "171--182", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "83h:65084", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Kings Coll., Univ. of Cambridge, Cambridge, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A-stable; convolution formula; differential equations; first approximations; quadrature methods; stiff ordinary differential systems", treatment = "T Theoretical or Mathematical", } @Article{Avdelas:1981:OAO, author = "G. Avdelas and A. Hadjidimos", title = "Optimum accelerated overrelaxation method in a special case", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "183--187", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10", MRnumber = "82c:65016", MRreviewer = "L. Hageman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Maths., Univ. of Ioannina, Ioannia, Greece", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accelerated overrelaxation method; convergence; convergence of numerical methods; linear algebra; linear system; matrix coefficient; nonvanishing diagonal elements; optimum AOR method; rates; relaxation; theory", treatment = "T Theoretical or Mathematical", } @Article{Fornberg:1981:VIF, author = "Bengt Fornberg", title = "A vector implementation of the fast {Fourier} transform algorithm", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "189--191", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4190 (Other numerical methods)", corpsource = "Dept. of Appl. Maths., California Inst. of Technol., Pasadena, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; CDC STAR-100; fast Fourier transform; fast Fourier transforms; FFT; tables; trigonometric; vector computer; vector implementation", treatment = "T Theoretical or Mathematical", } @Article{Thomas:1981:GMS, author = "K. S. Thomas", title = "{Galerkin} Methods for Singular Integral Equations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "193--205", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45F99)", MRnumber = "82c:65092", MRreviewer = "Baruch Cahlon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Univ. of Southampton, Southampton, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate solution; bounds; error; error analysis; Galerkin methods; integral equations; singular integral equations", treatment = "T Theoretical or Mathematical", } @Article{Schneider:1981:PIW, author = "Claus Schneider", title = "Product integration for weakly singular integral equations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "207--213", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L05)", MRnumber = "82c:65090", MRreviewer = "P. M. Anselone", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations)", corpsource = "Johannes Gutenberg Univ. Mainz, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "derivative singularities; integral equations; method; nonuniform mesh; numerical methods; numerical solution; product integration; weakly singular integral equations", treatment = "T Theoretical or Mathematical", } @Article{Hemker:1981:MGM, author = "P. W. Hemker and H. Schippers", title = "Multiple grid methods for the solution of {Fredholm} integral equations of the second kind", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "215--232", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L10)", MRnumber = "81m:65197", MRreviewer = "Frank G. Hagin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations); C4240 (Programming and algorithm theory)", corpsource = "Stitching Math. Centrum, Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic computational; complexity; computational complexity; direct interpolation; Fredholm integral equations; integral equations; iterative; methods; multiple grid methods; numerical methods; rates of convergence", treatment = "T Theoretical or Mathematical", } @Article{Glashoff:1981:NMC, author = "K. Glashoff and K. Roleff", title = "A new method for {Chebyshev} approximation of complex-valued functions", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "233--239", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (30E10 90C30)", MRnumber = "82c:65011", MRreviewer = "Wolfgang Wetterling", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Hamburg, Hamburg, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev approximation problem; complex-valued functions; linear optimization; optimisation; optimization problems", treatment = "T Theoretical or Mathematical", } @Article{Mahoney:1981:PFE, author = "J. F. Mahoney", title = "Partial fraction evaluation by an escalation technique", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "241--246", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15", MRnumber = "81k:65019", MRreviewer = "E. Frank", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4120 (Functional analysis)", corpsource = "Univ. of Florida, Gainesville, FL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "escalation technique; function evaluation; numerical methods; partial fraction expansions; poles and zeros; proper rational function; zeros", treatment = "T Theoretical or Mathematical", } @Article{McCullagh:1981:RCS, author = "Peter McCullagh", title = "A rapidly convergent series for computing $ \psi (z) $ and its derivatives", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "247--248", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (33A15)", MRnumber = "81m:65028", MRreviewer = "J. Gregor", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4120 (Functional analysis)", corpsource = "Imperial Coll. of Sci. and Technol., London, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); convergence; function evaluation; log gamma function; poles; poles and zeros; rapidly convergent series; series; series expansion; uniformly convergent", treatment = "T Theoretical or Mathematical", } @Article{Shepherd:1981:CA, author = "M. M. Shepherd and J. G. Laframboise", title = "{Chebyshev} Approximation of $ (1 + 2 x) \exp (x^2) \operatorname {erfc} x $ in $ 0 \leq x < \infty $", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "249--253", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20", MRnumber = "83c:65029", MRreviewer = "John P. Coleman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "York Univ., Toronto, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(1+2x)exp(x/sup 2/)erfc x; Chebyshev approximation; Chebyshev expansion; erfc x; single", treatment = "T Theoretical or Mathematical", } @Article{Dixon:1981:AFF, author = "John D. Dixon", title = "Asymptotically Fast Factorization of Integers", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "255--260", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A30 (10A25)", MRnumber = "82a:10010", MRreviewer = "H. L. Abbott", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4140 (Linear algebra)", corpsource = "Carleton Univ., Ottawa, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "composite integer; factoring integers; fast factorization; integers; linear algebra; number theory; probabilistic algorithm", treatment = "T Theoretical or Mathematical", } @Article{Adleman:1981:PTA, author = "Leonard Adleman and Frank Thomson Leighton", title = "An $ {O}(n^{1 / 10.89}) $ Primality Testing Algorithm", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "261--266", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10-04 68C25)", MRnumber = "82c:10009", MRreviewer = "D. H. Lehmer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., MIT, Cambridge, MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complexity theory; computational complexity; deterministic algorithm; number theory; primality; primality testing algorithm", treatment = "T Theoretical or Mathematical", } @Article{Land:1981:CPP, author = "Rudolf Land", title = "Computation of {P{\'o}lya} Polynomials of Primitive Permutation Group", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "267--278", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20B99 (12F10 20-04)", MRnumber = "82c:20010", MRreviewer = "N. G. de Bruijn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Univ. zu Koln, Koln, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; number-; Polya polynomials; polynomials; primitive permutation groups; theoretical interpretation; van der Waerden's test", treatment = "T Theoretical or Mathematical", } @Article{Weintraub:1981:LPG, author = "Sol Weintraub", title = "A Large Prime Gap", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "279--279", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25", MRnumber = "81k:10011", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Queens Coll., City Univ. of New York, Flushing, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "large prime gap; number theory; prime gap", treatment = "T Theoretical or Mathematical", } @Article{Gunji:1981:PFF, author = "Hiroshi Gunji and Dennis Arnon", title = "On Polynomial Factorization Over Finite Fields", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "281--287", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12-04", MRnumber = "82c:12002", MRreviewer = "Maurice Mignotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Wisconsin, Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "endomorphism; finite fields; Frobenius; polynomial factorization; polynomials; streamlined proofs", treatment = "T Theoretical or Mathematical", } @Article{Lehmer:1981:FQB, author = "D. H. Lehmer", title = "On {Fermat}'s Quotient, Base Two", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "289--290", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10-04", MRnumber = "82e:10004", MRreviewer = "M. C. Wunderlich", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of California, Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "congruence; Fermat's quotient; linear algebra; number theory; p=1093; p=3511", treatment = "T Theoretical or Mathematical", } @Article{Shanks:1981:GFF, author = "Daniel Shanks and H. C. Williams", title = "{Gunderson}'s Function in {Fermat's Last Theorem}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "291--295", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10-04 (10B15)", MRnumber = "82g:10004", MRreviewer = "Mohan Nair", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Maryland, College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "criterion; Fermat's last theorem; Gunderson's function; number theory; prime bases; Wieferich", treatment = "T Theoretical or Mathematical", } @Article{teRiele:1981:HNT, author = "Herman J. J. {te Riele}", title = "Hyperperfect Numbers With Three Different Prime Factors", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "297--298", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A20 (10A40)", MRnumber = "82c:10006", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Math. Centre, Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "hyperperfect numbers; number theory; prime factors", treatment = "T Theoretical or Mathematical", } @Article{Hagis:1981:UHN, author = "Peter {Hagis, Jr.}", title = "Unitary Hyperperfect Numbers", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "299--301", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A20 (10-04)", MRnumber = "81m:10008", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "hyperperfect numbers; number theory; unitary; unitary perfect numbers", treatment = "T Theoretical or Mathematical", } @Article{Borho:1981:SLP, author = "W. Borho", title = "Some Large Primes and Amicable Numbers", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "303--304", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A40 (10A25)", MRnumber = "82d:10021", MRreviewer = "Kenneth A. Jukes", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Univ. Gesamthochschule Wuppertal, Wuppertal, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "amicable number pairs; amicable numbers; large primes; number theory; Thabit rules", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1981:TEHa, author = "Henry E. Fettis", title = "Table errata: {{\em Higher transcendental functions, Vol. II} [McGraw-Hill, New York, 1953, F. Oberhettinger MR {\bf 15}, 419] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "315--315", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05", MRnumber = "82g:65007b, 82g:65007a", bibdate = "Sat Apr 12 15:32:32 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Temme:1981:TEF, author = "N. M. Temme", title = "Table errata: {{\em Formulas and theorems for the special functions of mathematical physics} [third edition, Springer, New York, 1966 and F. Oberhettinger MR {\bf 38} \#1291] by W. Magnus and R. P. Soni}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "315--316", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05", MRnumber = "82a:65011a", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Pexton:1981:TEF, author = "Robert L. Pexton", title = "Table errata: {{\em Formulas and theorems for the special functions of mathematical physics} [third edition, Springer, New York, 1966 and F. Oberhettinger MR {\bf 38} \#1291] by W. Magnus and R. P. Soni}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "316--317", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05", MRnumber = "82a:65011b", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fettis:1981:TEHb, author = "Henry E. Fettis", title = "Table errata: {{\em Handbook of elliptic integrals for engineers and physicists} [second edition, Springer, New York, 1971 and MR {\bf 43} \#3506] by P. F. Byrd and M. D. Friedman}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "317--317", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05", MRnumber = "82a:65008a", bibdate = "Sat Apr 12 15:32:35 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fettis:1981:TETa, author = "Henry E. Fettis", title = "Table errata: {{\em Table of integrals, series, and products} [English translation of the fourth Russian edition, Academic Press, New York, 1965; MR {\bf 33} \#5952] by I. S. Gradshteyn [I. S. Grad{\v{s}}te{\u{\i}}n] and I. M. Ryzhik [I. M. Ry{\v{z}}ik]}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "317--318, 320", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "320.65A05", MRnumber = "82a:65009", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fettis:1981:TETb, author = "Henry E. Fettis", title = "Table errata: {{\em A table of the complete elliptic integral of the first kind for complex values of the modulus, Part I} [Rep. No. ARL 69-0172, Aerospace Res. Lab., Wright--Patterson Air Force Base, Ohio, 1969; MR {\bf 40} \#6725] by Fettis and J. C. Caslin}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "318", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "318.65A05", MRnumber = "82a:65010", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stuart:1981:TEC, author = "S. N. Stuart", title = "Table errata: {{\em A course of modern analysis} [fourth edition, Cambridge Univ. Press, Cambridge 1927 and 180] by E. T. Whittaker Jbuch {\bf 53} and G. N. Watson}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "319--319", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33-01", MRnumber = "82b:33001", bibdate = "Wed Jan 15 08:39:17 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Salzer:1981:EHN, author = "Herbert E. Salzer", title = "Errata: {{\em A history of numerical analysis from the 16th through the 19th century} [Springer, New York, 1977]. MR {\bf 58} \#4774 by H. H. Goldstine}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "319--320", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "01A05 (01A50 01A55 65-03)", MRnumber = "82b:01001", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Engquist:1981:OSD, author = "Bj{\"o}rn Engquist and Stanley Osher", title = "One-sided difference approximations for nonlinear conservation laws", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "321--351", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35L67 65M05)", MRnumber = "82c:65056", MRreviewer = "J. R. Cannon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations); C7320 (Physics and chemistry computing)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; differential equations; digital simulation; discontinuity; entropy; existence; expansion shock; finite difference; hyperbolic; monotone shock; nonlinear conservation law; nonlinear stability; partial; partial differential equation; physics computing; sharp shock; shock waves; space variable; uniqueness", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Harten:1981:FOA, author = "Amiram Harten and Hillel Tal-Ezer", title = "On a fourth order accurate implicit finite difference scheme for hyperbolic conservation laws. {I}. Nonstiff strongly dynamic problems", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "353--373", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (35L65 76L05)", MRnumber = "83b:65088a", MRreviewer = "Vassilios A. Dougalis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Courant-Friedrichs-Lewy; Crank-Nicholson scheme; difference equations; dimensional system; finite difference scheme; hyperbolic conservation laws; Jacobian; matrix; mesh point; mesh points; one-; partial differential equations; spatial derivative; vector value function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Richter:1981:NIS, author = "Gerard R. Richter", title = "Numerical identification of a spatially varying diffusion coefficient", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "375--386", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (65M10)", MRnumber = "82c:65055", MRreviewer = "J. R. Cannon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations); C7440 (Civil and mechanical engineering computing)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "civil engineering computing; difference scheme; differential equations; diffusion coefficient; digital simulation; first order hyperbolic; groundwater flow; oil reservoir; partial; relaxation theory; space variable; tangent vector; transmissivity; upwind", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Goldstein:1981:FEM, author = "C. I. Goldstein", title = "The finite element method with nonuniform mesh sizes for unbounded domains", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "387--404", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "82b:65121", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "artificial; boundary; elliptic boundary; error estimate; finite element analysis; graded mesh; nonuniform mesh size; partial differential equations; unbounded domains", treatment = "A Application; T Theoretical or Mathematical", } @Article{Djaoua:1981:MCL, author = "M. Djaoua", title = "A method of calculation of lifting flows around two-dimensional corner-shaped bodies", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "405--425", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76B05 (45L10)", MRnumber = "82c:76011", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4715C (Laminar boundary layers); B0290R (Integral equations)C4180 (Integral equations); C7320 (Physics and chemistry computing)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary layers; collocation method; corner-shaped body; digital simulation; Dirichlet boundary; Fredholm equation; integral equations; lifting flows; numerical methods; physics computing; potential; single layer; von Neumann problem", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Mercier:1981:EAM, author = "B. Mercier and J. Osborn and J. Rappaz and P.-A. Raviart", title = "Eigenvalue Approximation by Mixed and Hybrid Methods", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "427--453", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N25 (65N15 65N30)", MRnumber = "82b:65108", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence rate; differential equations; eigenvalues and eigenfunctions; finite element analysis; Hilbert space; hybrid finite element method; mixed finite element method; spectral approximation; Stokes eigenvalue", treatment = "A Application; T Theoretical or Mathematical", } @Article{Delfour:1981:DGM, author = "M. Delfour and W. Hager and F. Trochu", title = "Discontinuous {Galerkin} methods for ordinary differential equations", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "455--473", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (65N30)", MRnumber = "82b:65066", MRreviewer = "I. Norman Katz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "dependent norm; discontinuity; discontinuous polynomial; elliptic equation; Galerkin methods; mesh; numerical methods; ordinary differential equation; partial differential equations; piecewise; polynomial", treatment = "A Application; T Theoretical or Mathematical", } @Article{Rice:1981:PLS, author = "John R. Rice and Elias N. Houstis and Wayne R. Dyksen", title = "A population of linear, second order, elliptic partial differential equations on rectangular domains. Part {I}", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "475--484", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N99 (65M99)", MRnumber = "82c:65083", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary; contour plots; domains; elliptic partial differential equations; finite element analysis; linear differential equations; partial differential equations; quadratic interpolation; rectangular; series; series expansion; software; truncated", treatment = "A Application; T Theoretical or Mathematical", } @Article{McCormick:1981:MRM, author = "Stephen F. McCormick", title = "A Mesh Refinement Method for {$ A x = \lambda B x $}", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "485--498", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N25 (65F15 65L15 65R99)", MRnumber = "82d:65070", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "finite element analysis; free factorisation; inverse iteration; matrix algebra; mesh refinement; multigrid technique; multiplicity; partial eigenproblem; symmetric matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Shampine:1981:TIO, author = "L. F. Shampine", title = "Type-Insensitive {ODE} Codes Based on Implicit $ {A}$-Stable Formulas", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "499--510", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4180 (Integral equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A-stable formula; Adams Moulton formula; algorithm; differential equations; equations; initial value problems; integration; iteration matrix; Jacobian; numerical methods; ordinary differential; stiffness", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sloan:1981:QMI, author = "Ian H. Sloan", title = "Quadrature methods for integral equations of the second kind over infinite intervals", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "511--523", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45B05)", MRnumber = "82c:65091", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; convergence rate; function; homogeneous equation; infinite intervals; integral equations; Nystrom method; quadrature methods; quadrature weight; scalar valued", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bojanov:1981:UON, author = "Borislav D. Bojanov", title = "Uniqueness of the optimal nodes of quadrature formulae", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "525--546", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (41A55)", MRnumber = "82d:65024", MRreviewer = "M. I. Levin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differentiable functions; endpoint; equidistant nodes; finite interval; fixed multiplicities; function approximation; linear functional; numerical methods; quadrature formula; smooth function; uniqueness", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gautschi:1981:MST, author = "Walter Gautschi", title = "Minimal solutions of three-term recurrence relations and orthogonal polynomials", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "547--554", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A65 (65D20 65D30)", MRnumber = "82m:33006", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continued fraction algorithm; distribution; expansion coefficient; Gauss method; Jacobi; mass; moment problem; moment sequence; numerical methods; orthogonal polynomials; polynomials; quadrature formulas; three-term recurrence", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wrigge:1981:CTS, author = "Staffan Wrigge", title = "Calculation of the {Taylor} Series Expansion Coefficients of the {Jacobian} Elliptic Function $ \mathrm {sn}(x, k) $", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "555--564", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (33A25)", MRnumber = "82d:65023", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "combinatorial expression; differential equations; expansion coefficient; function; function approximation; integrand; integration; inversion; Jacobian elliptic; Lagrange; Legendre polynomials; recurrence formula; series (mathematics); Taylor series", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hendy:1981:JPA, author = "M. D. Hendy and N. S. Jeans", title = "The {Jacobi--Perron} Algorithm in Integer Form", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "565--574", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A30 (12A45)", MRnumber = "82j:10011", MRreviewer = "Roger Paysant-Le Roux", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; approximation; approximation theory; Bernstein theorem; continued fraction; decimal; denominator; integer form; Jacobi--Perron algorithm; numerator; quadratic number", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mossige:1981:ACR, author = "Svein Mossige", title = "Algorithms for computing the $h$-range of the postage stamp problem", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "575--582", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10L05 (10-04)", MRnumber = "82e:10095", MRreviewer = "R. G. Stanton", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; extremal h-range; positive integer; postage stamp problem; recursive theorem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kishore:1981:OPQ, author = "Masao Kishore", title = "On odd perfect, quasiperfect, and odd almost perfect numbers", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "583--586", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A20", MRnumber = "82h:10006", MRreviewer = "Neville Robbins", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; odd almost perfect number; odd integer; odd perfect number; Pomerance theorem; quasiperfect number; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Cantor:1981:NAF, author = "David G. Cantor and Hans Zassenhaus", title = "A new algorithm for factoring polynomials over finite fields", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "587--592", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12C05 (12-04)", MRnumber = "82e:12020", MRreviewer = "Maurice Mignotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Comp.Alg.1.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "factorisation; folk method; irreducible factor; monic polynomial; numerical methods; polynomials; probabilistic algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Williams:1981:NIL, author = "H. C. Williams", title = "A numerical investigation into the length of the period of the continued fraction expansion of $ \sqrt {D} $", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "593--601", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A32 (10-04)", MRnumber = "82f:10011", MRreviewer = "P{\'e}ter Kiss", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continued fraction expansion; Euler product; function approximation; integer; Kronecker symbol; Littlewood theorem; numerical methods; positive; square-free integer", treatment = "A Application; T Theoretical or Mathematical", } @Article{Goldberg:1981:SIS, author = "Moshe Goldberg and Eitan Tadmor", title = "Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. {II}", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "603--626", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "83f:65142", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cauchy theorem; difference equations; differential equations; hyperbolic initial-boundary value; initial value; multilevel boundary; outflow; problems; quarter plane; scalar; stability; transpose", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brent:1981:FEF, author = "Richard P. Brent and John M. Pollard", title = "Factorization of the Eighth {Fermat} Number", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "627--630", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10-04 65C05)", MRnumber = "83h:10014", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; Brent; conjecture; eighth Fermat number; factorization algorithm; Monte Carlo methods; numerical methods; Pollard algorithm; polynomial; polynomials; quadratic; recurrence relation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Williams:1981:SRC, author = "H. C. Williams", title = "Some Results Concerning {Vorono{\u{\i}}}'s Continued Fraction Over $ \mathcal {Q}(\sqrt [3]{D}) $", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "631--652", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A45", MRnumber = "82j:12011", MRreviewer = "Maurice Mignotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class number; continued fraction; coprime; cube-free integer; fixed zero variable; fraction expansion; frequency table; integer; prime; pure cubic field; quadratic field; real number; series (mathematics); Voronoi's algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stothers:1981:SFI, author = "W. W. Stothers", title = "Subgroups of finite index in a free product with amalgamated subgroup", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "653--662", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20E06 (10D07 20E07)", MRnumber = "82e:20036", MRreviewer = "Ian M. Chiswell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "amalgamated subgroup; coset; diagrams; edge; finite index; free product; group theory; pseudograph; recurrence relation; vertices set", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1981:LMM, author = "James H. Bramble", title = "The {Lagrange} multiplier method for {Dirichlet}'s problem", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "1--11", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "83h:65119", MRreviewer = "Stephen W. Brady", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary flux; boundary-value problems; Dirichlet's problem; elliptic equation; Lagrange multiplier; partial differential equations; second order", treatment = "A Application; T Theoretical or Mathematical", } @Article{Pitkaranta:1981:FEM, author = "Juhani Pitk{\"a}ranta", title = "The finite element method with {Lagrange} multipliers for domains with corners", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "13--30", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "82h:65087", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Inst. of Math., Helsinki Univ. of Technol, Espoo, Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; boundary subspaces; boundary-value problems; error analysis; finite element; finite element method; Lagrange; mesh refinements; multipliers; partial differential equations; Sobolev spaces; weighted", treatment = "A Application; T Theoretical or Mathematical", } @Article{Vogelius:1981:DRMa, author = "M. Vogelius and I. Babu{\v{s}}ka", title = "On a dimensional reduction method. {I}. The optimal selection of basis functions", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "31--46", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N99 (65J10)", MRnumber = "83c:65259a", MRreviewer = "Murli M. Gupta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland, College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; combinations; dimensional; finite linear; function approximation; methods; n-dimensional space; numerical; reduction method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Vogelius:1981:DRMb, author = "M. Vogelius and I. Babu{\v{s}}ka", title = "On a dimensional reduction method. {II}. Some approximation-theoretic results", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "47--68", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N99 (65J10)", MRnumber = "83c:65259b", MRreviewer = "Murli M. Gupta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland, College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; dimensional; function approximation; methods; null-space; numerical; polynomials; reduction method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hicks:1981:HSS, author = "D. L. Hicks", title = "Hydrocode Subcycling Stability", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "69--78", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (76-04 76-08)", MRnumber = "83d:65252", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Computational Phys. and Mech. Div., Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "artificial viscosity; Courant-Friedrichs-Lewy; hydrocodes; integration; numerical methods; stability; stress-rate equation; subcycling stability", treatment = "A Application; T Theoretical or Mathematical", } @Article{Berger:1981:AUA, author = "Alan E. Berger and Jay M. Solomon and Melvyn Ciment", title = "An analysis of a uniformly accurate difference method for a singular perturbation problem", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "79--94", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10", MRnumber = "83f:65121", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Appl. Maths. Branch, Naval Surface Weapons Centre, Silver Spring, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; differential equations; grid points; piecewise constant; problem; singular perturbation; tridiagonal difference; uniform mesh; uniformly accurate difference method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Makroglou:1981:BBM, author = "Athena Makroglou", title = "A block-by-block method for {Volterra} integro-differential equations with weakly-singular kernel", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "95--99", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "83d:65353", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Statistical Unit, Athens Univ., Athens, Greece", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "block-by-block method; convergence; integro-differential equations; numerical methods; product integration technique; Volterra; weakly-singular kernel", treatment = "A Application; T Theoretical or Mathematical", } @Article{Martins:1981:NID, author = "M. Madalena Martins", title = "Note on irreducible diagonally dominant matrices and the convergence of the {AOR} iterative method", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "101--103", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10", MRnumber = "83b:65031", MRreviewer = "L. Collatz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Coimbra, Coimbra, Portugal", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accelerated; algebra; AOR iterative method; bounds; convergence; convergence of numerical methods; diagonally dominant matrix; irreducible matrix; iterative methods; matrix; overrelation method; spectral radius; successive overrelaxation method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Saad:1981:KSM, author = "Y. Saad", title = "{Krylov} Subspace Methods for Solving Large Unsymmetric Linear Systems", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "105--126", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10", MRnumber = "83j:65037", MRreviewer = "D. S. Henderson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; Arnoldi algorithm; bounds; conjugate gradient method; eigenvalues; error; iterative methods; Krylov subspace; linear; linear algebra; unsymmetric linear systems", kwds = "nla, linear system, nonsymmetric matrix, Krylov sequence", treatment = "A Application; T Theoretical or Mathematical", } @Article{Pennline:1981:ICR, author = "James A. Pennline", title = "Improving convergence rate in the method of successive approximations", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "127--134", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (34B15 65L10)", MRnumber = "83h:65135", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Virginia Commonwealth Univ., Richmond, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; boundary-value problems; convergence; convergence rate; integral equations; iterative; iterative methods; methods; nonlinear integral equation; rate; successive", treatment = "A Application; T Theoretical or Mathematical", } @Article{Dunham:1981:RCD, author = "C. B. Dunham and Jack Williams", title = "Rate of convergence of discretization in {Chebyshev} approximation", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "135--139", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A25 (30E10 41A50 65D15)", MRnumber = "82f:41024", MRreviewer = "John P. Coleman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computer Sci., Univ. of Western Ontario, London, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; convergence of numerical methods; convergence rate; discretization; finite point set; quadratic convergence; smooth arc", treatment = "A Application; T Theoretical or Mathematical", } @Article{Lancaster:1981:SGM, author = "P. Lancaster and K. Salkauskas", title = "Surfaces Generated by Moving Least Squares Methods", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "141--158", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (41A05 41A63)", MRnumber = "83c:65015", MRreviewer = "D. C. Handscomb", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Statistics, Univ. of Calgary, Calgary, Alta., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bivariate system; interpolants; least squares approximations; methods; moving least squares; projection methods; smoothness; univariate system", treatment = "A Application; T Theoretical or Mathematical", } @Article{Ash:1981:OND, author = "J. Marshall Ash and Roger L. Jones", title = "Optimal numerical differentiation using three function evaluations", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "159--167", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (39A05)", MRnumber = "84a:65008", MRreviewer = "A. Lupa\cedla s", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math. Sci., De Paul Univ., Chicago, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference; differentiation; numerical differentiation; numerical method; numerical methods; quotient; real-valued functions", treatment = "A Application; T Theoretical or Mathematical", } @Article{Ting:1981:CIO, author = "Bing Yuan Ting and Yudell L. Luke", title = "Computation of integrals with oscillatory and singular integrands", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "169--183", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (41A60)", MRnumber = "82f:65022", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Marley Cooling Tower Co., Mission, KS, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; endpoints; error; error analysis; integration; interval; numerical methods; oscillatory integrand; singular integrands; singularities; weight function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mond:1981:AEL, author = "B. Mond", title = "On algorithmic equivalence in linear fractional programming", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "185--187", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "90C32", MRnumber = "82m:90147", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4240 (Programming and algorithm theory)", corpsource = "Dept. of Pure Math., La Trobe Univ., Bundoora, Vic., Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithmic equivalence; computation complexity; computational complexity; fractional programming; linear; linear programming", treatment = "A Application; T Theoretical or Mathematical", } @Article{Boyd:1981:RCC, author = "John P. Boyd", title = "The rate of convergence of {Chebyshev} polynomials for functions which have asymptotic power series about one endpoint", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "189--195", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A25", MRnumber = "82h:41022", MRreviewer = "A. E. Danese", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Center for Earth and PLanetary Phys., Harvard Univ., Cambridge, MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic power; bounded derivatives; Chebyshev approximation; Chebyshev polynomials; convergence of numerical methods; convergence rate; expansion interval; point; polynomials; series; singular", treatment = "A Application; T Theoretical or Mathematical", } @Article{Delahaye:1981:ASS, author = "J. P. Delahaye", title = "Automatic Selection of Sequence Transformations", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "197--204", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B99", MRnumber = "83c:65006", MRreviewer = "Y. L. Luke", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. des Sci. et Techniques de Lille, Villeneuve d'Ascq, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; sequence transformations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Smyth:1981:MTR, author = "C. J. Smyth", title = "On the measure of totally real algebraic integers. {II}", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "205--208", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A15 (10F25)", MRnumber = "82j:12002b", MRreviewer = "Marthe Grandet", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Mathon:1981:CST, author = "Rudolf A. Mathon and Kevin T. Phelps and Alexander Rosa", title = "A class of {Steiner} triple systems of order $ 21 $ and associated {Kirkman} systems", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "209--222", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05B07 (51E10)", MRnumber = "82k:05022", MRreviewer = "Charles J. Colbourn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Duijvestijn:1981:LOS, author = "A. J. W. Duijvestijn and P. Leeuw", title = "Lowest order squared rectangles and squares with the largest element not on the boundary", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "223--228", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05B45 (52A45)", MRnumber = "82j:05047", MRreviewer = "Heiko Harborth", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Twente Univ. of Technol., Enschede, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; lowest order squared rectangles; squares", treatment = "T Theoretical or Mathematical", } @Article{Baillie:1981:PSC, author = "Robert Baillie and G. Cormack and H. C. Williams", title = "The problem of {Sierpi{\'n}ski} concerning $ k \cdot 2^n + 1 $", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "229--231", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25", MRnumber = "83a:10006a", MRreviewer = "Graham Lord", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Computer Based Education Res. Lab., Univ. of Illinois, Urbana, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; Sierpinski problem", treatment = "T Theoretical or Mathematical", } @Article{Fransen:1981:ACH, author = "Arne Frans{\'e}n", title = "Addendum and corrigendum to: {``High-precision values of the gamma function and of some related coefficients''} {[Math. Comp. {\bf 34} (1980), no. 150, 553--566, MR 81f:65004] by Frans{\'e}n and S. Wrigge}", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "233--235", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (65D20)", MRnumber = "82m:65002", bibdate = "Sat Apr 01 10:12:58 2000", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", note = "See \cite{Fransen:1980:HPV}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Beale:1981:RCV, author = "J. Thomas Beale and Andrew Majda", title = "Rates of convergence for viscous splitting of the {Navier--Stokes} equations", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "243--259", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M15 (76D05)", MRnumber = "82i:65056", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Math., Tulane Univ., New Orleans, LA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; convergence of numerical methods; fluid flow; Navier--Stokes equations; number; partial differential equations; physics computing; Reynolds; splitting; time interval; viscosity; viscous", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Aziz:1981:FEA, author = "A. K. Aziz and R. Bruce Kellogg", title = "Finite Element Analysis of a Scattering Problem", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "261--272", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (35J05)", MRnumber = "82i:65069", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland, College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "finite element analysis; finite element method; partial differential equations; physics computing; piecewise polynomial functions; polynomials; propagation; reduced wave equation; scattering problem; spherical harmonics; wave; wave propagation", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Isaacson:1981:NAS, author = "D. Isaacson and E. L. Isaacson and D. Marchesin and P. J. Paes-Leme", title = "Numerical analysis of spectral properties of coupled oscillator {Schr{\"o}dinger} operators. {I}. {Single} and double well anharmonic oscillators", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "273--292", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N25 (81C05)", MRnumber = "82i:65068", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Math., Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "digital simulation; eigenvalues and eigenfunctions; numerical analysis; physics computing; Schr{\"o}dinger equation; physics computing; Schr{\"o}dinger operators; anharmonic; oscillators; eigenvalues and eigenfunctions; inverse power", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Gottlieb:1981:SPF, author = "David Gottlieb and Steven A. Orszag and Eli Turkel", title = "Stability of pseudospectral and finite-difference methods for variable coefficient problems", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "293--305", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "82i:65054", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Math., Tel-Aviv Univ., Tel-Aviv, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computing; difference equations; differential equations; digital; digital simulation; finite difference method; physics; physics computing; pseudospectral approximation; simulation; spatial mesh; wave equations; wave propagation", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{LeRoux:1981:NSS, author = "A. Y. {Le Roux}", title = "Numerical Stability for Some Equations of Gas Dynamics", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "307--320", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76N15 (65M10 76A60)", MRnumber = "82m:76044", MRreviewer = "Murli M. Gupta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Lab. d'Analyse Numerique, Rennes, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "density; digital simulation; equations; Eulerian coordinates; gas dynamics equations; momentum; numerical methods; partial differential; partial differential equations; physics computing; stability; supersonic flow; supersonic flows", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Starius:1981:AEC, author = "G{\"o}ran Starius", title = "Asymptotic expansions for a class of elliptic difference schemes", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "321--326", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N15 (65B05)", MRnumber = "82i:65066", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Appl. Maths., Univ. of Lulea, Lulea, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic; difference equations; Dirichlet problem; equations; expansion; extrapolation; finite difference method; Kreiss' difference scheme; mesh length; partial differential; Poisson equation; Richardson extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Huang:1981:SCE, author = "Mingyou Huang and Vidar Thom{\'e}e", title = "Some Convergence Estimates for Semidiscrete Type Schemes for Time-Dependent Nonselfadjoint Parabolic Equations", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "327--346", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (65M15)", MRnumber = "82i:65060", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Maths., Jilin Univ., Changchun, China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bounded domain; Dirichlet boundary; energy arguments; equations; finite element; finite element analysis; Galerkin; L/sub 2/ norm error; nonselfadjoint parabolic equations; partial differential; partial differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Field:1981:ADI, author = "David A. Field", title = "An algorithm for determining invertible quadratic isoparametric finite element transformations", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "347--360", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65H10)", MRnumber = "82i:65071", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Dept., General Motors Res. Labs., Warren, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; finite element analysis; invertibility; isoparametric finite element; Jacobian; partial differential equation; partial differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Vogelius:1981:DRMc, author = "M. Vogelius and I. Babu{\v{s}}ka", title = "On a Dimensional Reduction Method. {III}. {A} Posteriori Error Estimation and an Adaptive Approach", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "361--384", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N99 (65J10)", MRnumber = "83c:65259c", MRreviewer = "Murli M. Gupta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Courant Inst. of Math. Sci., New York Univ., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value; boundary-value problems; dimensional reduction method; error analysis; problems", treatment = "A Application; T Theoretical or Mathematical", } @Article{Jameson:1981:ISD, author = "A. Jameson and E. Turkel", title = "Implicit Schemes and $ {LU} $ Decompositions", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "385--397", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (65F05)", MRnumber = "82i:65055", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Courant Inst. of Math. Sci., New York Univ., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; Crank Nicolson estimate; Euler method; LU factorizations; matrix; matrix algebra; Newton Raphson iteration; numerical methods; systems; tridiagonal", treatment = "T Theoretical or Mathematical", } @Article{Piazza:1981:SRK, author = "Giuseppe Piazza", title = "On the $ {BN} $ Stability of the {Runge--Kutta} Methods", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "399--401", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "82i:65045", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. di Bari, Bari, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "BN stability; differential equations; Runge--Kutta methods; stability", treatment = "T Theoretical or Mathematical", } @Article{Locher:1981:IUM, author = "F. Locher", title = "Interpolation on uniform meshes by the translates of one function and related attenuation factors", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "403--416", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D10 (42A15)", MRnumber = "82i:65008", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fernuniv.-Gesamthochschule, Hagen, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "attenuation factors; coefficients; convolution matrix; Fourier; Fourier analysis; interpolation; proportionality factors", treatment = "T Theoretical or Mathematical", } @Article{Jen:1981:CSA, author = "Erica Jen and R. P. Srivastav", title = "Cubic splines and approximate solution of singular integral equations", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "417--423", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (41A15 45E05)", MRnumber = "82i:65082", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4180 (Integral equations)", corpsource = "Dept. of Math. and Statistics, State Univ. of New York, Stony Brook, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cauchy equation; cubic splines; integral equations; linear algebra; linear algebraic equations; singular integral equations; splines (mathematics); weight function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Toint:1981:SQN, author = "Ph. L. Toint", title = "A sparse {quasi-Newton} update derived variationally with a nondiagonally weighted {Frobenius} norm", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "425--433", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F30 (15A24 65K10)", MRnumber = "82i:65028", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Facultes Univ. de Namur, Namur, Belgium", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "matrix algebra; numerical methods; quasi-Newton updating; symmetric sparse updating; weighted Frobenius norm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stummel:1981:PTE, author = "F. Stummel", title = "Perturbation theory for evaluation algorithms of arithmetic expressions", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "435--473", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65G99", MRnumber = "82i:65032", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Univ. of Frankfurt, Frankfurt, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic; data perturbations; error analysis; evaluation algorithms; expressions; linearization method; optimal bounds; perturbation theory", treatment = "A Application; T Theoretical or Mathematical", } @Article{Fransen:1981:CTS, author = "Arne Frans{\'e}n", title = "Conjectures on the {Taylor} Series Expansion Coefficients of the {Jacobian} Elliptic Function $ \mathrm {sn}(x, k) $", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "475--494", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A25", MRnumber = "83a:33003", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); elliptic function; function approximation; Jacobian; numerical methods; series; Taylor series expansion", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wrigge:1981:NTS, author = "Staffan Wrigge", title = "A Note on the {Taylor} Series Expansion Coefficients of the {Jacobian} Elliptic Function $ \mathrm {sn}(x, k) $", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "495--497", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A25", MRnumber = "83a:33004", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integers; Jacobian elliptic function; linear algebra; numerical methods; polynomials; power series; series (mathematics); Taylor series expansion", treatment = "T Theoretical or Mathematical", } @Article{Glasser:1981:CBS, author = "M. L. Glasser", title = "A Class of {Bessel} Summations", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "499--501", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A40 (42A16 44A15)", MRnumber = "82j:33015", MRreviewer = "B. D. Agrawal", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Math. and Computer Sci., Clarkson Coll., Potsdam, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; Bessel summations; infinite series", treatment = "T Theoretical or Mathematical", } @Article{Hsu:1981:AFT, author = "L. C. Hsu and Y. S. Chou", title = "An asymptotic formula for a type of singular oscillatory integrals", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "503--507", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A60", MRnumber = "83e:41035", MRreviewer = "E. Rieksti\lfhook n{\v{s}}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Jilin Univ., Changchun, China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bernoulli functions; fixed; function; integrands; integration; numerical methods; real number; Riemann zeta; singular oscillatory integrals", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wong:1981:MAE, author = "R. Wong and J. P. McClure", title = "On a method of asymptotic evaluation of multiple integrals", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "509--521", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A60 (41A63)", MRnumber = "83b:41040", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Univ. of Manitoba, Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); asymptotic; differentiability; Dirac function; expansions; Fourier transform; Fourier transforms; integrals; integration; multiple; numerical methods; series; Taylor theorem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Duijvestijn:1981:NPC, author = "A. J. W. Duijvestijn and P. J. Federico", title = "The number of polyhedral ($3$-connected planar) graphs", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "523--532", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05C30 (05C10 52A25)", MRnumber = "83f:05028", MRreviewer = "E. M. Palmer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Twente Univ. of Technol., Enschede, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "3-connected planar graphs; edges; faces; graph theory; isomorphism; polyhedral graph; vertices", treatment = "T Theoretical or Mathematical", } @Article{Winker:1981:SAI, author = "S. K. Winker and L. Wos and E. L. Lusk", title = "Semigroups, antiautomorphisms, and involutions: a computer solution to an open problem. {I}", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "533--545", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20M15 (03B35 20-04 68G20)", MRnumber = "82k:20103", MRreviewer = "R. S. Pierce", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Argonne Nat. Lab., Argonne, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "antiautomorphisms; finite semigroup; group theory; involutions; mapping", treatment = "T Theoretical or Mathematical", } @Article{Queen:1981:MFA, author = "Larissa Queen", title = "Modular Functions Arising from Some Finite Groups", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "547--580", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20C15 (10D07 20D08)", MRnumber = "83d:20008", MRreviewer = "Leo J. Alex", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Univ. of Cambridge, Cambridge, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Hauptmoduls function; modular groups; series (mathematics); Thompson series", treatment = "T Theoretical or Mathematical", } @Article{Leavitt:1981:PDF, author = "W. G. Leavitt and Albert A. Mullin", title = "Primes Differing by a Fixed Integer", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "581--585", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10L10 (10H15)", MRnumber = "83c:10077", MRreviewer = "Kenneth A. Jukes", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math. and Statistics, Univ. of Nebraska, Lincoln, NE, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bound; divisor; fixed integer; number theory; primes", treatment = "T Theoretical or Mathematical", } @Article{Pomerance:1981:DP, author = "Carl Pomerance", title = "On the Distribution of Pseudoprimes", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "587--593", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A21 (10A20)", MRnumber = "83k:10009", MRreviewer = "M. C. Wunderlich", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Univ. of Georgia, Athens, GA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "counting function; number theory; pseudoprimes distribution", treatment = "T Theoretical or Mathematical", } @Article{Thacher:1981:CAH, author = "Henry C. Thacher", title = "Book Review: {{\booktitle{Computational Analysis with the HP-25 Pocket Calculator}}, by Peter Henrici}", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "595--596", month = oct, year = "1981", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2007449", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Mon Jan 28 10:13:10 2019", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", URL = "https://www.jstor.org/stable/2007449", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fettis:1981:CST, author = "Henry E. Fettis", title = "Corrigendum: {``On some trigonometric integrals''}", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "605--605", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A15 (33A10 33A70)", MRnumber = "82c:33003b", bibdate = "Wed Jan 15 08:42:10 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Schatz:1982:QOP, author = "A. H. Schatz and L. B. Wahlbin", title = "On the Quasi-Optimality in $ {L}_\infty $ of the $ \overset {\circ }{H}^1$-Projection into Finite Element Spaces", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "1--22", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "82m:65106", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Maths., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bounded smooth domain; finite element analysis; finite element spaces; function approximation; mesh-domains; optimisation; projection; quasi-; quasi-optimality; uniform partitions", treatment = "T Theoretical or Mathematical", } @Article{Arnold:1982:SFE, author = "Douglas N. Arnold and Ragnar Winther", title = "A superconvergent finite element method for the {Korteweg--de Vries} equation", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "23--36", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (76A60 76B15)", MRnumber = "82m:65087", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Maryland, College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; discrete; equations; finite element analysis; finite element method; fully discrete; Korteweg--de Vries equation; optimal order global estimates; partial differential equations; stable; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Archer:1982:CGM, author = "David Archer and Julio C{\'e}sar D{\'i}az", title = "A collocation-{Galerkin} method for a first order hyperbolic equation with space and time dependent coefficient", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "37--53", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (65N35)", MRnumber = "82m:65086", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "DREM, Houston, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximating solution; boundary-value problems; collocation-Galerkin method; differential equations; equation; first order hyperbolic; hyperbolic; initial value problems; initial-boundary value problem; partial", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Han:1982:FEM, author = "Houde Han", title = "The finite element method in a family of improperly posed problems", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "55--65", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (35R25 65M30)", MRnumber = "82m:65091", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Maryland, College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate solution; Cauchy problem; convergence; convergence of numerical methods; elliptic equations; finite element analysis; finite element method; improperly posed problems; inequality problem; numerical; numerical methods; partial differential equations; solution; variational", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Canuto:1982:ARO, author = "C. Canuto and A. Quarteroni", title = "Approximation results for orthogonal polynomials in {Sobolev} spaces", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "67--86", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A10", MRnumber = "82m:41003", MRreviewer = "H. Triebel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 = "Istituto di Matematical Applicata, Pavia, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; Chebyshev system; differential equations; error analysis; error estimates; interpolation; interpolation operators; Legendre system; numerical analysis; numerical methods; orthogonal polynomials; partial; partial differential equations; polynomials; properties; Sobolev spaces; systems of polynomials", treatment = "T Theoretical or Mathematical", } @Article{Alfeld:1982:FPI, author = "Peter Alfeld", title = "Fixed Point Iteration with Inexact Function Values", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "87--98", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10 (65K10)", MRnumber = "82m:65048", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "amount of computation; computational effort; error criterion; final; fixed point iteration; inexact function values; iterate; iterative; iterative methods; schemes", treatment = "T Theoretical or Mathematical", } @Article{Iserles:1982:CEA, author = "Arieh Iserles", title = "Composite Exponential Approximations", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "99--112", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "82m:65063", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "King's Coll., Univ. of Cambridge, Cambridge, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; approximations; CEA; composite exponential approximations; different step-; differential equations; exponential fitting; length; N-; numerical; ordinary differential equations; Pad{\'e} approximations; solution; stability", treatment = "T Theoretical or Mathematical", } @Article{Marsden:1982:SIK, author = "M. J. Marsden", title = "Spline Interpolation at Knot Averages on a Two-Sided Geometric Mesh", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "113--126", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15 (65D07)", MRnumber = "82m:41011", MRreviewer = "Gheorghe Micula", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Pittsburgh, Pittsburgh, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "choice of nodes; continuous functions; function approximation; growth rate; interpolation; knot averages; spline interpolation; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Sidi:1982:NQR, author = "Avram Sidi", title = "Numerical quadrature rules for some infinite range integrals", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "127--142", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "82m:65022", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Computer Sci. Dept., Technion Israel Inst. of Technol., Haifa, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abscissas; exponential integral; Gaussian quadrature formulas; infinite range integrals; integration; interpolatory type; numerical methods; numerical quadrature formulas", treatment = "T Theoretical or Mathematical", } @Article{Chen:1982:AEE, author = "T. H. Charles Chen", title = "Asymptotic error estimates for {Gaussian} quadrature formulas", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "143--152", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55)", MRnumber = "82m:65019", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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., Alcorn State Univ., Lorman, MS, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic; error analysis; error estimates; Gaussian quadrature formulas; integration; non negative weight function", treatment = "T Theoretical or Mathematical", } @Article{Parlett:1982:ELE, author = "B. N. Parlett and H. Simon and L. M. Stringer", title = "On Estimating the Largest Eigenvalue with the {L{\'a}nczos} Algorithm", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "153--165", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15", MRnumber = "82m:65033", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of California, Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "definite matrix; eigenvalue; eigenvalues and eigenfunctions; Lanczos algorithm; large matrices; matrix algebra; methods; misconvergence; numerical; positive", kwds = "nla, eig, Lanczos algorithm", treatment = "T Theoretical or Mathematical", } @Article{Kallman:1982:MFP, author = "Ralph Kallman", title = "A method for finding permanents of $ 0, \, 1 $ matrices", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "167--170", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "15A15 (05B20 15-04)", MRnumber = "83d:15002", MRreviewer = "Peter M. Gibson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math. Sci., Ball State Univ., Muncie, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "0,1 matrices; computing permanents; execution times; matrices; matrix algebra; Nijenhuis-; numerical methods; permanents; row operations; Ryser algorithm; Wilf algorithms", treatment = "T Theoretical or Mathematical", } @Article{Cuyt:1982:NSH, author = "Annie A. M. Cuyt", title = "Numerical stability of the {Halley-iteration} for the solution of a system of nonlinear equations", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "171--179", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10 (65G05 65J15)", MRnumber = "82m:65050", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Univ. of Antwerp, Wilrijk, Belgium", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abstract Rational approximants; Halley-iteration; iterative methods; nonlinear equations; numerical methods; numerical stability; Pad{\'e} approximants; procedure; stability; third order iterative", treatment = "T Theoretical or Mathematical", } @Article{Franke:1982:SDI, author = "Richard Franke", title = "Scattered Data Interpolation: Tests of Some Methods", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "181--200", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05", MRnumber = "82m:65008", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/imager/imager.82.bib; Graphics/siggraph/82.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/nld.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Maths., Naval Postgraduate School, Monterey, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accuracy; data analysis; evaluation of methods; implementation; interpolation; scattered data; storage; timing", treatment = "T Theoretical or Mathematical", } @Article{Joshi:1982:ICH, author = "C. M. Joshi and J. P. Arya", title = "Inequalities for Certain Hypergeometric Functions", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "201--205", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A30", MRnumber = "83a:33007", MRreviewer = "H. M. Srivastava", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Dept. of Maths., Univ. of Jodhpur, Jodhpur, India", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analogues; Buschman; functional analysis; Gauss; hypergeometric functions; inequalities; Kummer; two-sided inequalities", treatment = "T Theoretical or Mathematical", } @Article{Kalla:1982:IJF, author = "Shyam L. Kalla and Salvador Conde and Yudell L. Luke", title = "Integrals of {Jacobi} Functions", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "207--214", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A25 (33-04 65D30)", MRnumber = "83a:33005", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. del Zulia, Maracaibo, Venezuela", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic singularities; formulas; function approximation; integrands; integration; Jacobi functions; logarithmic singularities", treatment = "T Theoretical or Mathematical", } @Article{Ling:1982:EIH, author = "Chih Bing Ling and Ming Jing Wu", title = "Evaluation of integrals of {Howland} type involving a {Bessel} function", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "215--222", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (65D20)", MRnumber = "82m:65003", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0220 (Mathematical analysis); B0290M (Numerical integration and differentiation); C1120 (Mathematical analysis); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Maths., Virginia Polytech. Inst. and State Univ., Blacksburg, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "10D; 20D; accuracy; Bessel function; Bessel functions; Howland type; integrals; integration; tabulated values", treatment = "T Theoretical or Mathematical", } @Article{Belevitch:1982:SIT, author = "V. Belevitch and J. Boersma", title = "On {Stieltjes} integral transforms involving {$ {\Gamma } $}-functions", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "223--226", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "44A15 (33A15 33A45)", MRnumber = "83d:44001", MRreviewer = "V. M. Bhise", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Philips Res Lab., Brussels, Belgium", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Gamma functions; integral transforms; Stieltjes transforms; systematic classification; transforms", treatment = "T Theoretical or Mathematical", } @Article{Cohn:1982:EME, author = "Harvey Cohn", title = "An explicit modular equation in two variables and {Hilbert}'s twelfth problem", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "227--236", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10D20 (12A65)", MRnumber = "82k:10027", MRreviewer = "Marie-France Vign{\'e}ras", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Maths. Dept., City Coll. of New York, New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic fields; explicit modular equation; Fourier series; function approximation; Hilbert modular function; Hilbert's twelfth problem; transcendental functions", treatment = "T Theoretical or Mathematical", } @Article{Greaves:1982:ASC, author = "G. Greaves", title = "An algorithm for the solution of certain differential-difference equations of advanced type", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "237--247", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (10H30)", MRnumber = "82m:65124", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290B (Error analysis in numerical methods); B0290P (Differential equations); C1160 (Combinatorial mathematics); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Pure Maths., Univ. Coll. Cardiff, Cardiff, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; differential-difference equations; error analysis; number theory; numerical approximation; numerical methods; numerical performance; theory of numbers", treatment = "T Theoretical or Mathematical", } @Article{Beck:1982:LBO, author = "Walter E. Beck and Rudolph M. Najar", title = "A Lower Bound for Odd Triperfects", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "249--251", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A20", MRnumber = "83m:10006", MRreviewer = "Carl Pomerance", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Maths., Univ. of Northern Iowa, Cedar Falls, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "lower bound; natural number; number theory; odd triperfects; triperfect", treatment = "T Theoretical or Mathematical", } @Article{Brent:1982:SPP, author = "Richard P. Brent", title = "Succinct proofs of primality for the factors of some {Fermat} numbers", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "253--255", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10-04 (10A25 65C99)", MRnumber = "82k:10002", MRreviewer = "D. H. Lehmer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Computer Sci., Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "factors; Fermat numbers; number theory; primality; prime factors; proofs of", treatment = "T Theoretical or Mathematical", } @Article{Laska:1982:AFM, author = "Michael Laska", title = "An algorithm for finding a minimal {Weierstrass} equation for an elliptic curve", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "257--260", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "14K15 (14-04 14G25 14K07)", MRnumber = "84e:14033", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Sonderforschungsbereich Theoretische Math., Bonn, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number field; elliptic curve; equation; function approximation; global minimal Weierstrass equation; Weierstrass", treatment = "T Theoretical or Mathematical", } @Article{Williams:1982:DPF, author = "H. C. Williams", title = "Determination of Principal Factors in $ \mathcal {Q}(\sqrt {D}) $ and $ \mathcal {Q}(\sqrt [3]{D}) $", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "261--274", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A30 (12A45)", MRnumber = "83e:12001", MRreviewer = "Horst Brunotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; algebraic; algebraic number fields; integer; number theory; principal factors; Voronoi's continued fraction algorithm", treatment = "T Theoretical or Mathematical", } @Article{Pohst:1982:ECFa, author = "Michael Pohst and Hans Zassenhaus", title = "On Effective Computation of Fundamental Units. {I}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "275--291", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A45 (12-04)", MRnumber = "83e:12005a", MRreviewer = "Kurt Girstmair", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); B0260 (Optimisation techniques); C1110 (Algebra); C1160 (Combinatorial mathematics); C1180 (Optimisation techniques)", corpsource = "Maths. Inst., Univ. Dusseldorf, Dusseldorf, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; algebraic number field; computation of fundamental units; factorization; fundamental units; ideal; linear programming; number theory", treatment = "T Theoretical or Mathematical", } @Article{Pohst:1982:ECFb, author = "Michael Pohst and Peter Weiler and Hans Zassenhaus", title = "On Effective Computation of Fundamental Units. {II}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "293--329", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A45 (12-04)", MRnumber = "83e:12005b", MRreviewer = "Kurt Girstmair", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Keller:1982:TEN, author = "Wilfrid Keller", title = "Table errata: {``New primes of the form $ k \cdot 2^n + 1 $'' [Math. Comp. {\bf 33} (1979), no. 148, 1333--1336], MR 80h:10009, by R. Baillie}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "335--335", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25", MRnumber = "82m:10013", bibdate = "Wed Jan 15 08:44:30 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Keller:1982:TEP, author = "Wilfrid Keller", title = "Table errata: {``Properties of the sequence $ 3 \cdot 2^n + 1 $''} {[Math. Comp. {\bf 30} (1976), no. 135, 657--663, MR {\bf 53} \#7933] by S. W. Golomb}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "335--335", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A40", MRnumber = "82m:10024", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Keller:1982:TES, author = "Wilfrid Keller", title = "Table errata: {``Some very large primes of the form $ k \cdot 2^m + 1 $''} {[Math. Comp. {\bf 35} (1980), no. 152, 1419--1421], MR 81i:10011 by G. V. Cormack and H. C. Williams}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "335--335", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25", MRnumber = "82k:10011", bibdate = "Wed Jan 15 08:45:52 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Davenport:1982:TET, author = "J. H. Davenport", title = "Table errata: {{\em Tables of indefinite integrals} [English translation, Dover, New York, 1961, MR {\bf 23} \#A256] by G. Petit Bois}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "335--336", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "26A06", MRnumber = "82j:26003", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fettis:1982:CETa, author = "Henry E. Fettis", title = "Corrigendum: {``Table errata: {\em Table of integrals, series, and products} by I. S. Grad{\v{s}}te{\u{\i}}n and I. M. Ry{\v{z}}ik'' [Math. Comp. {\bf 36} (1981), no. 153, 317--318], MR 82a:65009}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "337--337", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05", MRnumber = "82m:65001", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Osher:1982:UDS, author = "Stanley Osher and Fred Solomon", title = "Upwind difference schemes for hyperbolic systems of conservation laws", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "339--374", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05", MRnumber = "83d:65247", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/Multi.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Johnson:1982:ASM, author = "Claes Johnson and Juhani Pitk{\"a}ranta", title = "Analysis of some mixed finite element methods related to reduced integration", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "375--400", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "83d:65287", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Werschulz:1982:OEP, author = "Arthur G. Werschulz", title = "Optimal error properties of finite element methods for second order elliptic {Dirichlet} problems", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "401--413", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "83d:65300", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Halpern:1982:ABC, author = "Laurence Halpern", title = "Absorbing boundary conditions for the discretization schemes of the one-dimensional wave equation", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "415--429", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05", MRnumber = "83d:65245", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Crisci:1982:SCM, author = "M. R. Crisci and E. Russo", title = "$ {A}$-stability of a class of methods for the numerical integration of certain linear systems of ordinary differential equations", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "431--435", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L07", MRnumber = "83d:65219", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rannacher:1982:SOE, author = "Rolf Rannacher and Ridgway Scott", title = "Some optimal error estimates for piecewise linear finite element approximations", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "437--445", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "83e:65180", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kovvali:1982:PFS, author = "S. Kovvali and G. K. Gupta", title = "Polynomial formulation of second derivative multistep methods", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "447--458", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "83d:65209", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dennis:1982:DSU, author = "J. E. {Dennis, Jr.} and Earl S. Marwil", title = "Direct Secant Updates of Matrix Factorizations", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "459--474", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10", MRnumber = "83d:65159", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bunch:1982:NSD, author = "James R. Bunch", title = "A Note on the Stable Decomposition of Skew Symmetric Matrices", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "475--479", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F05", MRnumber = "83d:65078", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "nla, lud, skew-symmetric matrix", } @Article{Smith:1982:NCN, author = "David A. Smith and William F. Ford", title = "Numerical comparisons of nonlinear convergence accelerators", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "481--499", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B10 (65-04)", MRnumber = "83d:65014", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Warsi:1982:NMG, author = "Z. U. A. Warsi and J. F. Thompson", title = "A noniterative method for the generation of orthogonal coordinates in doubly-connected regions", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "501--516", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N50 (30C60 31A05)", MRnumber = "83d:65307", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Sidi:1982:NEV, author = "Avram Sidi", title = "The numerical evaluation of very oscillatory infinite integrals by extrapolation", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "517--529", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (41A55 65B99)", MRnumber = "83i:65023", MRreviewer = "T. N. L. Patterson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity); A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Computer Sci. Dept., Technion-Israel Inst. of Technol., Haifa, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; integration; interpolation; Levin; nonlinear extrapolation; numerical evaluation; oscillatory infinite integrals; Sidi; viscoelasticity", treatment = "T Theoretical or Mathematical", } @Article{Levin:1982:PCO, author = "David Levin", title = "Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "531--538", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "83a:65023", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "School of Math. Sci., Tel-Aviv Univ., Ramat Aviv, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "collocation; differential equations; functions; integration; one-dimensional integrals; ordinary differential equations; oscillatory; rapid irregular oscillations; two-dimensional integration", treatment = "T Theoretical or Mathematical", } @Article{Beighton:1982:EES, author = "S. Beighton and B. Noble", title = "An error estimate for {Stenger}'s quadrature formula", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "539--545", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "83a:65021", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{DiDonato:1982:RRI, author = "A. R. DiDonato", title = "Recurrence relations for the indefinite integrals of the associated {Legendre} functions", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "547--551", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A45 (33A65)", MRnumber = "84b:33008", MRreviewer = "B. D. Agrawal", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Nemeth:1982:PTP, author = "G{\'e}za N{\'e}meth and Magda Zim{\'a}nyi", title = "Polynomial Type {Pad{\'e}} Approximants", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "553--565", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A21 (33A15 41A20)", MRnumber = "83e:41020", MRreviewer = "A. Magnus", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wrigge:1982:GMA, author = "Staffan Wrigge and Arne Frans{\'e}n", title = "A General Method of Approximation. Part {I}", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "567--588", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A50 (15A57 65D15)", MRnumber = "83f:41025", MRreviewer = "A. G. Law", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chambers:1982:UBF, author = "Ll. G. Chambers", title = "An upper bound for the first zero of {Bessel} functions", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "589--591", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A65", MRnumber = "83h:33011", MRreviewer = "S. Ahmed", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ling:1982:EGH, author = "Chih Bing Ling", title = "Evaluation of Generalized {Howland} Integrals", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "593--599", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (65D30)", MRnumber = "83a:65016", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Laderman:1982:SFP, author = "Jack Laderman and Julian D. Laderman", title = "Simplified Forecasting by Polynomial Regression with Equally Spaced Values of the Independent Variable", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "601--610", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hilliker:1982:ASC, author = "David Lee Hilliker", title = "An algorithm for solving a certain class of {Diophantine} equations. {I}", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "611--626", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10B15 (10-04)", MRnumber = "83h:10038", MRreviewer = "E. L. Cohen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brunotte:1982:CCM, author = "Horst Brunotte", title = "The computation of a certain metric invariant of an algebraic number field", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "627--632", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A99 (12-04 12A45)", MRnumber = "83h:12024", MRreviewer = "Hale F. Trotter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Costello:1982:DPI, author = "Patrick J. Costello", title = "Density problems involving $ p_r(n) $", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "633--637", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A45", MRnumber = "83e:10016", MRreviewer = "H. G. Meijer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Buhler:1982:PF, author = "J. P. Buhler and R. E. Crandall and M. A. Penk", title = "Primes of the Form $ n! \pm 1 $ and $ 2 \cdot 3 \cdot 5 \cdots p \pm 1 $", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "639--643", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10A10)", MRnumber = "83c:10006", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gostin:1982:SNF, author = "Gary B. Gostin and Philip B. {McLaughlin, Jr.}", title = "Six New Factors of {Fermat} Numbers", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "645--649", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10-04 (10A25)", MRnumber = "83c:10003", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Blair:1982:CRC, author = "J. M. Blair", title = "Corrigenda: {``Rational Chebyshev approximations for the Bickley functions $ K i_n(x) $''} {[Math. Comp. {\bf 32} (1978), no. 143, 876--886 and C. A. Edwards MR {\bf 57} \#10999] by the author and J. H. Johnson}", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "657--657", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20", MRnumber = "83d:65045", bibdate = "Wed Jan 15 08:48:01 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fettis:1982:CETb, author = "Henry E. Fettis", title = "Corrigenda: {``Erratum: {\em Table of integrals, series, and products} [Academic Press, New York, 1965 and MR {\bf 33} \#5952] by I. S. Gradshte{\u{\i}}n and I. M. Ryzhik''} {[Math. Comp. {\bf 27} (1973), 451--452, MR {\bf 54} \#4049] by A. Ojo and J. Sadiku}", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "657--657", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05", MRnumber = "83d:65009", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hadjidimos:1982:COA, author = "A. Hadjidimos", title = "Corrigenda: {``Optimum accelerated overrelaxation method in a special case''} {[Math. Comp. {\bf 36} (1981), 183--187, MR 82c:65016] by G. Avdelas and the author}", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "657--657", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10", MRnumber = "83d:65099", bibdate = "Wed Jan 15 08:47:50 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Beale:1982:VMC, author = "J. Thomas Beale and Andrew Majda", title = "Vortex Methods. {I}: Convergence in Three Dimensions", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "1--27", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M15 (76C05)", MRnumber = "83i:65069a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340G (Fluid dynamics: general mathematical aspects); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; convergence of numerical methods; convergent; crude vortex methods; dimensional vortex methods; flows; simulation; stable; three-; three-dimensional incompressible fluid; vortex; vortex filament structures; vortex methods; vortices", treatment = "T Theoretical or Mathematical", } @Article{Beale:1982:VMI, author = "J. Thomas Beale and Andrew Majda", title = "Vortex methods. {II}. Higher order accuracy in two and three dimensions", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "29--52", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M15 (76C05)", MRnumber = "83i:65069b", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340G (Fluid dynamics: general mathematical aspects); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "consistency; convergence of numerical methods; dimensional flows; incompressible flows; proof of convergence; simulation; two-; vortex method; vortices", treatment = "T Theoretical or Mathematical", } @Article{Elden:1982:TDBa, author = "Lars Eld{\'e}n", title = "Time discretization in the backward solution of parabolic equations. {I}", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "53--68", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M30", MRnumber = "83f:65150", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Elden:1982:TDBb, author = "Lars Eld{\'e}n", title = "Time discretization in the backward solution of parabolic equations. {II}", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "69--84", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M30", MRnumber = "83f:65150", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Dupont:1982:MME, author = "Todd Dupont", title = "Mesh Modification for Evolution Equations", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "85--107", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60", MRnumber = "84g:65131", MRreviewer = "D. M. Sloan", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shampine:1982:TIO, author = "L. F. Shampine", title = "Type-insensitive {ODE} codes based on implicit $ {A}(\alpha)$-stable formulas", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "109--123", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "83f:65116", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bunse:1982:CBP, author = "W. Bunse and A. Bunse-Gerstner", title = "Computation of bounds for the positive eigenvector of a nonnegative irreducible matrix by monotone iteration", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "125--131", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15 (15A42)", MRnumber = "83f:65050", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brezinski:1982:SNC, author = "Claude Brezinski", title = "Some New Convergence Acceleration Methods", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "133--145", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B05", MRnumber = "83f:65003", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brunner:1982:RKT, author = "H. Brunner and E. Hairer and S. P. N{\o}rsett", title = "{Runge--Kutta} theory for {Volterra} integral equations of the second kind", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "147--163", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "83f:65203", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chang:1982:CEM, author = "S. H. Chang", title = "On certain extrapolation methods for the numerical solution of integro-differential equations", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "165--171", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "83f:65204", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Levin:1982:EDI, author = "Moshe Levin", title = "On the Evaluation of Double Integrals", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "173--177", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "83f:65032", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Nagaraja:1982:EI, author = "K. S. Nagaraja and G. R. Verma", title = "Evaluation of the Integral $ \int^p_0 u^n e^{-u^2}(u + x)^{-1} d u $", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "179--194", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (65A05 65D30)", MRnumber = "83f:65024", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shivakumar:1982:AEL, author = "P. N. Shivakumar and R. Wong", title = "Asymptotic expansion of the {Lebesgue} constants associated with polynomial interpolation", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "195--200", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A05 (41A60)", MRnumber = "83i:41006", MRreviewer = "Christian Coatm{\'e}lec", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Boyd:1982:CPR, author = "John P. Boyd", title = "A {Chebyshev} polynomial rate-of-convergence theorem for {Stieltjes} functions", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "201--206", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A25", MRnumber = "83h:41022", MRreviewer = "Y. L. Luke", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Mahler:1982:ZSS, author = "K. Mahler", title = "On the Zeros of a Special Sequence of Polynomials", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "207--212", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12D10 (30C15 33A40)", MRnumber = "83k:12019", MRreviewer = "S. Ahmed", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Colman:1982:NPI, author = "W. J. A. Colman", title = "The number of partitions of the integer $ {N} $ into $ {M} $ nonzero positive integers", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "213--224", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A45", MRnumber = "83h:10029", MRreviewer = "L. Bruce Richmond", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Williams:1982:MF, author = "H. C. Williams", title = "A $ p + 1 $ Method of Factoring", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "225--234", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "83h:10016", MRreviewer = "W. Herget", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bremner:1982:IPT, author = "Andrew Bremner and Patrick Morton", title = "The Integer Points on Three Related Elliptic Curves", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "235--238", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10B10 (94B60)", MRnumber = "83k:10031", MRreviewer = "Loren D. Olson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rotkiewicz:1982:ELP, author = "A. Rotkiewicz", title = "On {Euler Lehmer} pseudoprimes and strong {Lehmer} pseudoprimes with parameters $ {L} $, $ {Q} $ in arithmetic progressions", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "239--247", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A05 (10A35)", MRnumber = "83k:10004", MRreviewer = "Don Redmond", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Boyd:1982:SRA, author = "David W. Boyd", title = "The Sequence of Radii of the {Apollonian} Packing", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "249--254", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "52A45", MRnumber = "83i:52013", MRreviewer = "J. B. Wilker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Adams:1982:SPT, author = "William Adams and Daniel Shanks", title = "Strong Primality Tests that are Not Sufficient", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "255--300", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10-04 12-04)", MRnumber = "84c:10007", MRreviewer = "Jack P. Tull", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Baillie:1982:CPS, author = "Robert Baillie and G. Cormack and H. C. Williams", title = "Corrigenda: {``The problem of Sierpi{\'n}ski concerning $ k \cdot 2^n + 1 $''} {[Math. Comp. {\bf 37} (1981), no. 155, 229--231]}", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "308--308", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25", MRnumber = "83a:10006b", MRreviewer = "Graham Lord", bibdate = "Wed Jan 15 08:48:32 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Goldstein:1982:FEM, author = "Charles I. Goldstein", title = "A finite element method for solving {Helmholtz} type equations in waveguides and other unbounded domains", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "309--324", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15 78A50)", MRnumber = "84e:65112", MRreviewer = "Max D. Gunzburger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0340K (Waves and wave propagation: general mathematical aspects); A4320 (General linear acoustics); B0290B (Error analysis in numerical methods); B0290P (Differential equations); B5240D (Waveguide and cavity theory)", corpsource = "Appl. Math. Dept., Brookhaven Nat. Lab., Upton, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; boundary value; boundary-value problems; equations; error analysis; finite element; finite element method; fixed bounded domain; Helmholtz type; optimal error estimates; problems; unbounded domains; variational formulation; variational techniques; wave propagation; waveguide theory; waveguides; weak formulation", treatment = "T Theoretical or Mathematical", } @Article{Veron:1982:SRC, author = "Laurent V{\'e}ron", title = "Some remarks on the convergence of approximate solutions of nonlinear evolution equations in {Hilbert} spaces", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "325--337", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "47H15 (34A45)", MRnumber = "83j:47051", MRreviewer = "Seppo Heikkil{\"a}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. de Math., Univ. de Tours, Tours, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continuous piecewise linear approximate; convergence; convergence of numerical methods; function approximation; group theory; Hilbert spaces; nonlinear differential equations; nonlinear evolution equations; solution", treatment = "T Theoretical or Mathematical", } @Article{Baker:1982:HOA, author = "Garth A. Baker and Vassilios A. Dougalis and Ohannes A. Karakashian", title = "On a higher order accurate fully discrete {Galerkin} approximation to the {Navier--Stokes} equations", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "339--375", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (65N30 76D05)", MRnumber = "84h:65096", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Lab. de Computacao Cientificas, Rio de Janeiro, Brazil", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; approximation; approximation theory; backward differentiation; boundary value; boundary-value problems; convergence; differentiation; extrapolation; finite element; finite-element method; Galerkin; initial-value problem; linear system; Navier--Stokes equations; of numerical methods; problem; space discretisation; time stepping", treatment = "T Theoretical or Mathematical", } @Article{Jerome:1982:EEM, author = "Joseph W. Jerome and Michael E. Rose", title = "Error estimates for the multidimensional two-phase {Stefan} problem", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "377--414", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (65M05 65M10)", MRnumber = "84h:65097", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory); A4430 (Heat transfer in inhomogeneous media and through interfaces)", corpsource = "Dept. of Math., Northwestern Univ., Evanston, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; approximations; convergence; convergence of numerical methods; differential equations; error analysis; Galerkin; heat transfer; multidimensional two-phase Stefan problem", treatment = "T Theoretical or Mathematical", } @Article{Paine:1982:CSL, author = "J. Paine", title = "Correction of {Sturm--Liouville} Eigenvalue Estimates", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "415--420", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L15", MRnumber = "84h:65082", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 = "Computer Sci. Dept., Univ. of Bristol, Bristol, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "and eigenfunctions; approximation theory; coefficient function; correction; differential equations; eigenvalues; error; error analysis; function approximation; interpolation; piecewise constant interpolate; Sturm--Liouville Eigenvalue estimates; uniform approximation", treatment = "T Theoretical or Mathematical", } @Article{Markowich:1982:EPI, author = "Peter A. Markowich", title = "Eigenvalue Problems on Infinite Intervals", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "421--441", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "34B25", MRnumber = "84e:34037", MRreviewer = "A. Devinatz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Texas, Austin, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "and eigenfunctions; approximating problems; approximation theory; boundary value problems; boundary-value problems; convergence; differential equations; eigenvalues; infinite interval; of numerical methods; ordinary differential equations; spectral subspaces", treatment = "T Theoretical or Mathematical", } @Article{Jaccard:1982:ASO, author = "Yves Jaccard and Hugo Ev{\'e}quoz", title = "Approximation of the spectrum of an operator given by the magnetohydrodynamic stability of a plasma", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "443--452", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76-08 76E25)", MRnumber = "84b:65113", MRreviewer = "Juhani Pitkar{\"a}nta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A5230 (Plasma flow; magnetohydrodynamics); A5235P (Plasma instabilities)", corpsource = "Dept. de Math., Ecole Polytech., Federale de Lausanne, Lausanne, Switzerland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; convergence; convergence of numerical methods; dimensional model problem; eigenvalues; Galerkin approximation; magnetohydrodynamic stability; noncompact selfadjoint; operator; operator spectrum; plasma; plasma instability; plasma magnetohydrodynamics; subspaces; toroidal configuration; two-", treatment = "T Theoretical or Mathematical", } @Article{Bank:1982:AMI, author = "Randolph E. Bank and Donald J. Rose", title = "Analysis of a multilevel iterative method for nonlinear finite element equations", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "453--465", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65H10)", MRnumber = "83j:65105", MRreviewer = "Beny Neta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of California, San Diego, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; convergence of numerical methods; differential equations; discretised partial differential equations; equations; finite element analysis; globally convergent approximate Newton method; iterative methods; multilevel iterative method; nonlinear; nonlinear finite element; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Freilich:1982:NSS, author = "J. H. Freilich and E. L. Ortiz", title = "Numerical solution of systems of ordinary differential equations with the {Tau} method: an error analysis", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "467--479", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "84k:65066", MRreviewer = "P. M. Dew", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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., Imperial Coll., Univ. of London, London, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic; analysis; approximation; approximation theory; differential equations; error; error analysis; function approximation; ordinary differential equations; polynomials; recursive formulation; Tau method; vector solution", treatment = "T Theoretical or Mathematical", } @Article{Gekeler:1982:LMM, author = "Eckart Gekeler", title = "Linear Multistep Methods for Stable Differential Equations {$ y^{..} = A y + {B}(t) y^. c(t) $}", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "481--490", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "83j:65074", MRreviewer = "David R. Hill", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "a; approximation; approximation theory; convergence of numerical methods; differential equations; error analysis; exponential multiplication factor; linear; matrix algebra; multistep methods; negative semidefinite matrix; priori error bounds; real symmetric matrix; stable differential equations", treatment = "T Theoretical or Mathematical", } @Article{Day:1982:TCI, author = "J. D. Day and D. N. P. Murthy", title = "Two classes of internally $ {S}$-stable generalized {Runge--Kutta} processes which remain consistent with an inaccurate {Jacobian}", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "491--509", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L20", MRnumber = "84b:65080", MRreviewer = "W. H. Enright", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290D (Functional analysis); B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Mech. Engng., Univ. of Queensland, St. Lucia, Qld., Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate Jacobian; approximation theory; consistency; convergence of numerical methods; differential equations; error analysis; error estimator; function evaluation; function evaluations; inaccurate Jacobian; internally S-stable generalized; matrix algebra; ordinary differential equations; Runge--Kutta methods; Runge--Kutta processes; stability; stiff systems", treatment = "T Theoretical or Mathematical", } @Article{Gladwin:1982:OIM, author = "C. J. Gladwin", title = "On optimal integration methods for {Volterra} integral equations of the first kind", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "511--518", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45D05 45L10)", MRnumber = "83k:65099", MRreviewer = "John M. Bownds", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290R (Integral equations); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Communications Res. Centre, Ottawa, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "consistency; convergence of numerical methods; first kind; free; integral equations; integration; l/sub 2/-norm; minimisation; nonsingular Volterra integral equations; optimal integration methods; optimisation; parameters; polynomial; polynomials; stability", treatment = "T Theoretical or Mathematical", } @Article{Graham:1982:GMS, author = "Ivan G. Graham", title = "{Galerkin} methods for second kind integral equations with singularities", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "519--533", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45E05 45L10)", MRnumber = "84d:65090", MRreviewer = "P. M. Anselone", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Univ. of Melbourne, Parkville, Vic., Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximation theory; arbitrary; convergence; convergence of numerical methods; Fredholm; inhomogeneous; integral equations; iterated Galerkin methods; iterative methods; quasiuniform meshes; second kind integral equations; splines; splines (mathematics); terms; weakly singular kernels", treatment = "T Theoretical or Mathematical", } @Article{Lax:1982:EFI, author = "M. Lax and G. P. Agrawal", title = "Evaluation of {Fourier} integrals using $ {B}$-splines", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "535--548", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (42A15 65R10)", MRnumber = "83i:65021", MRreviewer = "Robert Piessens", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0230 (Integral transforms); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C1130 (Integral transforms); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Phys. Dept., City Coll., City Univ., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "B-spline; continuous Fourier transform; discrete transform method; fast Fourier transform; finite Fourier integrals; fit; Fourier transforms; integration; possibly nonuniform mesh; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Sugihara:1982:NHM, author = "Masaaki Sugihara and Kazuo Murota", title = "A note on {Haselgrove}'s method for numerical integration", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "549--554", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "84f:65020", MRreviewer = "T. N. L. Patterson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math. Engng., Univ. of Tokyo, Tokyo, Japan", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "d-; dimensional cubature formulae; H.; Haselgrove's method; integrand functions; integration; Niederreiter; numerical integration; weights", treatment = "T Theoretical or Mathematical", } @Article{Jager:1982:SCN, author = "H. Jager", title = "On the speed of convergence of the nearest integer continued fraction", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "555--558", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10K10", MRnumber = "83k:10094", MRreviewer = "W. W. Adams", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290F (Interpolation and function approximation); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "Math. Inst. Univ. van Amsterdam, Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; convergence; convergence of numerical methods; ergodicity; integer continued fraction expansion; nearest; number theory; regular continued fraction expansion; shift operator; W. N. Adams", treatment = "T Theoretical or Mathematical", } @Article{VanderVorst:1982:GLS, author = "H. A. {Van der Vorst}", title = "A generalized {L{\'a}nczos} scheme", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "559--561", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15", MRnumber = "84h:65039", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Acad. Computer Centrum, Utrecht, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "eigenvalue problems; eigenvalues and eigenfunctions; generalized; Lanczos scheme; matrix algebra; skew-symmetric matrices", kwds = "nla, Lanczos algorithm", treatment = "T Theoretical or Mathematical", } @Article{Ziv:1982:RDE, author = "Abraham Ziv", title = "Relative distance---an error measure in round-off error analysis", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "563--569", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65G05", MRnumber = "83k:65035", MRreviewer = "H.-J. Rack", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C1160 (Combinatorial mathematics); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "IBM Israel Sci. Center, Technion City, Haifa, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximation theory; error; error analysis; function; linear normed spaces; matrix; measure; number theory; real numbers; relative distance; relative error; relative precision; round-off error analysis; vector", treatment = "T Theoretical or Mathematical", } @Article{Chow:1982:UBA, author = "Jeff Chow", title = "On the Uniqueness of Best $ {L}_2 \lbrack 0, 1 \rbrack $ Approximation by Piecewise Polynomials with Variable Breakpoints", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "571--585", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15", MRnumber = "83j:41009", MRreviewer = "Allan Pinkus", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. of California, Los Alamos Nat. Lab., Los Alamos, NM, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; best L/sub 2/(0,1) approximation; eventual; function approximation; nonuniqueness; piecewise; polynomials; uniqueness; variable breakpoints", treatment = "T Theoretical or Mathematical", } @Article{Gabutti:1982:AMP, author = "B. Gabutti and J. N. Lyness", title = "An acceleration method for the power series of entire functions of order $1$", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "587--597", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B10 (30B10)", MRnumber = "83j:65011", MRreviewer = "Claude Brezinski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Istituto di Calcoli Numerici, Univ. di Torino, Torino, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "acceleration method; convergence of numerical methods; entire functions; expansion; function approximation; order 1; power series", treatment = "T Theoretical or Mathematical", } @Article{Grothkopf:1982:CCP, author = "U. Grothkopf and G. Opfer", title = "Complex {Chebyshev} polynomials on circular sectors with degree six or less", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "599--615", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30E10 (65D20)", MRnumber = "84a:30070", MRreviewer = "Jack Williams", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Appl. Math., Hamburg, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "absolute maxima; Chebyshev approximation; circular sectors; coefficients; complex Chebyshev polynomials; critical angles; finite linear programming; infinite linear programming; linear programming; Newton's method; polynomials; semi-", treatment = "T Theoretical or Mathematical", } @Article{Wills:1982:RCA, author = "C. A. Wills and J. M. Blair and P. L. Ragde", title = "Rational {Chebyshev} approximations for the {Bessel} functions $ {J}_0 (x) $, $ {J}_1 (x) $, $ {Y}_0 (x) $, $ {Y}_1 (x) $", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "617--623", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (33A40 41A50)", MRnumber = "83j:65030", MRreviewer = "C. W. Clenshaw", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "AEG Ltd., Chalk River Nuclear Labs., Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; Bessel functions; Chebyshev; Chebyshev approximation; formulae; McMahon asymptotic; minimax techniques; near-minimax rational approximation", treatment = "T Theoretical or Mathematical", } @Article{Lassey:1982:CCI, author = "Keith R. Lassey", title = "On the computation of certain integrals containing the modified {Bessel} function $ {I}_0 (\xi) $", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "625--637", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20", MRnumber = "83j:65029", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Inst. of Nuclear Sci., DSIR, Lower Hutt, New Zealand", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximation theory; convergence of numerical methods; convergent series; function; function approximation; integration; limiting behaviour; modified Bessel; numerical integration; one-dimensional integrals; two-dimensional integrals", treatment = "T Theoretical or Mathematical", } @Article{Cruz:1982:ZHF, author = "Andr{\'e}s Cruz and Javier Sesma", title = "Zeros of the {Hankel} function of real order and of its derivative", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "639--645", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A40", MRnumber = "83j:33005", MRreviewer = "S. Ahmed", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Fisica Teorica, Univ. de Zaragoza, Zaragoza, Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; derivative; evaluation; function approximation; function evaluation; Hankel function; poles and zeros; real order; trajectories; zeros", treatment = "T Theoretical or Mathematical", } @Article{Kolbig:1982:CE, author = "K. S. K{\"o}lbig", title = "Closed Expressions for $ \int^1_0 t^{-1} \log^{n - 1}t \log^p(1 - t) d t $", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "647--654", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A70 (33-04)", MRnumber = "83k:33027", MRreviewer = "I. John Zucker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; https://www.math.utah.edu/pub/tex/bib/red-g-l.bib; JSTOR database; Theory/Comp.Alg.1.bib; Theory/reduce.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", annote = "Closed form of integral for easy calculation. Used REDUCE for manipulations. This class includes dilog, Spence functions etc. Remarks that REDUCE is easier than FORTRAN.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", comment = "Closed form of integral for easy calculation. Used {REDUCE} for manipulations. This class includes dilog, Spence functions etc. Remarks that {REDUCE} is easier than {FORTRAN}.", corpsource = "CERN, Geneva, Switzerland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "closed expressions; computer; formula manipulation; integral; integration; Reduce", treatment = "T Theoretical or Mathematical", } @Article{Murray:1982:FF, author = "Francis J. Murray", title = "Formulas for Factorial $ {N} $", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "655--662", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A15 (39A70 41A60)", MRnumber = "83j:33002", MRreviewer = "H. E. Fettis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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., Duke Univ., Durham, NC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; asymptotic series; Burnside's formula; convergence of numerical methods; convergent series; divergent series; error analysis; error estimates; factorial N; Stirling's formula", treatment = "T Theoretical or Mathematical", } @Article{Butler:1982:CPMa, author = "Gregory Butler and John J. Cannon", title = "Computing in Permutation and Matrix Groups. {I}. Normal Closure, Commutator Subgroups, Series", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "663--670", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20-04 (20F14 20G40)", MRnumber = "83k:20004a", MRreviewer = "J. D. Dixon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Math/algebra.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., McGill Univ., Montreal, Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; base and strong generating set of, normal closure, series; central series; closures; commutator subgroups; computation; derived series; elementary operations; group theory; lower central series; matrix algebra; matrix groups; normal; permutation groups; permutation groups, matrix groups; upper", reviews = "MR 83k:20004a (J. D. Dixon), Zbl 552.20004", treatment = "T Theoretical or Mathematical", } @Article{Butler:1982:CPMb, author = "Gregory Butler and John J. Cannon", title = "Computing in permutation and matrix groups. {II}. {Backtrack} algorithm", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "671--680", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20-04 (20E25 20G40)", MRnumber = "83k:20004b", MRreviewer = "J. D. Dixon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Math/algebra.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., McGill Univ., Montreal, Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "backtrack algorithm; backtrack through stabilizer chain; centralisers; computation; conjugate elements; group theory; intersections; matrix algebra; matrix groups; permutation groups; permutation groups, matrix groups; set stabilisers", reviews = "MR 83k:20004b (J. D. Dixon), Zbl 552.20003 (see Zbl 552.20004 for a review of this article)", treatment = "T Theoretical or Mathematical", } @Article{Brent:1982:ZRZ, author = "R. P. Brent and J. {van de Lune} and H. J. J. {te Riele} and D. T. Winter", title = "On the zeros of the {Riemann} zeta function in the critical strip. {II}", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "681--688", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10H05 (10-04 30-04)", MRnumber = "83m:10067", MRreviewer = "J{\"u}rgen G. Hinz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Dept. of Computer Sci., Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "critical strip; failures of Rosser's rule; function evaluation; functions; Gram blocks; poles and zeros; Riemann zeta function; zeros", treatment = "T Theoretical or Mathematical", } @Article{Llorente:1982:RCF, author = "P. Llorente and A. V. Oneto", title = "On the Real Cubic Fields", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "689--692", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A30 (12-04)", MRnumber = "84f:12002", MRreviewer = "Kurt Girstmair", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Univ. del Zulia, Maracaibo, Venezuela", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class numbers; coefficients; cubic fields; discriminant; generating; index; nonconjugate {nonAbelian}; number theory; polynomial; polynomials; real cubic fields", treatment = "T Theoretical or Mathematical", } @Article{vanderLinden:1982:CNC, author = "F. J. {van der Linden}", title = "Class Number Computations of Real {Abelian} Number Fields", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "693--707", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A50 (12A35)", MRnumber = "84e:12005", MRreviewer = "F. Diaz y Diaz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Univ. van Amsterdam, Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A. M. Odlyzko; class numbers; discriminant bounds; generalised Riemann; hypothesis; J. M. Masley; number theory; real abelian number fields", treatment = "T Theoretical or Mathematical", } @Article{Zagier:1982:NMN, author = "Don Zagier", title = "On the number of {Markoff} numbers below a given bound", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "709--723", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10F20 (10A20 10B10)", MRnumber = "83k:10062", MRreviewer = "Richard T. Bumby", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290B (Error analysis in numerical methods); C1160 (Combinatorial mathematics); C4110 (Error analysis in numerical methods)", corpsource = "Univ. Bonn, Bonn, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equation; error analysis; error bounds; indefinite quadratic forms; lattice points; Markoff numbers; number theory; triangles", treatment = "T Theoretical or Mathematical", } @Article{Hudson:1982:CNF, author = "Richard H. Hudson and Kenneth S. Williams", title = "Class Number Formulae of {Dirichlet} Type", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "725--732", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A50 (12A25)", MRnumber = "84b:12013", MRreviewer = "Harvey Cohn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math. Statistics, Univ. of South Carolina, Columbia, SC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class number formulae; Dirichlet type; number theory", treatment = "T Theoretical or Mathematical", } @Article{Brillhart:1982:TEN, author = "John Brillhart", title = "Table errata: {``New primality criteria and factorizations of $ 2^m \pm a n d 1 $'' [Math. Comp. {\bf 29} (1975), 620--647 and D. H. Lehmer MR {\bf 52} \#5546] by the author and J. L. Selfridge}", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "747--747", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "83j:10010", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{vanHaeringen:1982:TET, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Table of integrals, series, and products} [corrected and 1980 enlarged edition, Academic Press, New York and MR 81g:33001] by I. S. Gradshteyn [I. S. Gradshte{\u{\i}}n] and I. M. Ryzhik}", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "747--757", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33-01 (65A05)", MRnumber = "83j:33001", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shanks:1982:CHC, author = "Daniel Shanks", title = "Corrigendum: {H. C. Williams, ``Some primes with interesting digit patterns'' [Math. Comp. {\bf 32} (1978), no. 144, 1306--1310, MR {\bf 58} \#484]}", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "759--759", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A30", MRnumber = "83k:10013", bibdate = "Wed Jan 15 08:49:25 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Michelson:1983:STD, author = "Daniel Michelson", title = "Stability theory of difference approximations for multidimensional initial-boundary value problems", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "1--45", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "84d:65068", MRreviewer = "G. I. Sulkhanishvili", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of California, Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; approximation theory; boundary value problems; Cauchy problem; convergence of numerical methods; difference approximations; difference equations; dissipative; dissipative difference approximations; function approximation; hyperbolic differential problem; initial value; multidimensional initial-; operators; partial differential equations; problems; pseudo-difference; stability theory; variable coefficients; weakly", treatment = "T Theoretical or Mathematical", } @Article{Schatz:1983:FEM, author = "A. H. Schatz and L. B. Wahlbin", title = "On the finite element method for singularly perturbed reaction-diffusion problems in two and one dimensions", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "47--89", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "84c:65137", MRreviewer = "Rolf Rannacher", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; approximation theory; boundary-value problems; equations; error; finite element analysis; finite element method; Galerkin; one dimension; partial differential; problem; reaction-diffusion problems; second-order; second-order elliptic boundary-value problems; singularly perturbed; two dimensions; zero order equations", treatment = "T Theoretical or Mathematical", } @Article{Sanders:1983:CMF, author = "Richard Sanders", title = "On convergence of monotone finite difference schemes with variable spatial differencing", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "91--106", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (65M10 65M15)", MRnumber = "84a:65075", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Douglas:1983:ITD, author = "Jim {Douglas, Jr.} and Mary Fanett Wheeler", key = "Douglas \& Wheeler", title = "Implicit, Time-dependent Variable Grid Finite Difference Methods for the Approximation of a Linear Waterflood", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "107--121", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35L65)", MRnumber = "84a:65078", MRreviewer = "Alain Yves le Roux", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/Multi.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Markowich:1983:CMB, author = "Peter A. Markowich and Christian A. Ringhofer", title = "Collocation methods for boundary value problems on {``long''} intervals", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "123--150", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (65D07)", MRnumber = "84d:65053", MRreviewer = "Robert D. Russell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chen:1983:SEE, author = "Goong Chen and Wendell H. {Mills, Jr.} and Shun Hua Sun and David A. Yost", title = "Sharp error estimates for a finite element-penalty approach to a class of regulator problems", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "151--173", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65K10 (49D30)", MRnumber = "84b:65061", MRreviewer = "B. T. Polyak", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cash:1983:BRKa, author = "J. R. Cash", title = "Block {Runge--Kutta} Methods for the Numerical Integration of Initial Value Problems in Ordinary Differential Equations. Part {I}. The Nonstiff Case", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "175--191", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "84d:65044a", MRreviewer = "W. C. Rheinboldt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate numerical integration; approximation theory; block implicit formulae; block Runge--Kutta formulae; C. W. Gear; differential equations; equations; first order; formulae; initial value; initial value problems; integration; linear multistep methods; nonstiff problems; order; ordinary differential; problems; Runge--Kutta methods; Runge--Kutta starters; stepsize; stiff problems; systems; variable order; variable order block explicit", treatment = "T Theoretical or Mathematical", } @Article{Cash:1983:BRKb, author = "J. R. Cash", title = "Block {Runge--Kutta} Methods for the Numerical Integration of Initial Value Problems in Ordinary Differential Equations. Part {II}. The Stiff Case", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "193--206", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "84d:65044b", MRreviewer = "W. C. Rheinboldt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate numerical integration; approximation theory; block Runge--Kutta formulae; diagonally; differential equations; formulae; implicit Runge--Kutta formulae; initial value; integration; ordinary differential equations; problems; Runge--Kutta methods; stiff differential systems; variable order block explicit", treatment = "T Theoretical or Mathematical", } @Article{Cooper:1983:ARK, author = "G. J. Cooper and A. Sayfy", title = "Additive {Runge--Kutta} methods for stiff ordinary differential equations", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "207--218", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "84b:65066", MRreviewer = "W. H. Enright", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "School of Math. and Phys. Sci., Univ. of Sussex, Brighton, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "A-stable method; additive methods; convergence of numerical methods; differential equations; explicit method; LU factorisation; matrix; matrix algebra; ordinary differential equations; pairs of methods; perturbed linear differential equations; Runge--Kutta methods; semiexplicit method; stability property; stiff", treatment = "T Theoretical or Mathematical", } @Article{Axelsson:1983:PTL, author = "O. Axelsson and I. Gustafsson", title = "Preconditioning and two-level multigrid methods of arbitrary degree of approximation", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "219--242", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N50 (65N30)", MRnumber = "84i:65104", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lucas:1983:PII, author = "Thomas R. Lucas", title = "A posteriori improvements for interpolating periodic splines", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "243--251", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15 (65D07)", MRnumber = "84i:41015", MRreviewer = "E. Neuman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Nielson:1983:MIS, author = "Gregory M. Nielson", title = "A method for interpolating scattered data based upon a minimum norm network", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "253--271", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (41A05 65D07)", MRnumber = "85b:65007", MRreviewer = "B. I. Kvasov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/siggraph/83.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Arizona State Univ., Tempe, AZ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; bivariate function; continuous first order partial; curve network; derivatives; domain; function approximation; interpolation; minimum; minimum norm; network; pseudonorm properties; scattered data; triangulation", treatment = "T Theoretical or Mathematical", } @Article{Levin:1983:ACD, author = "Moshe Levin", title = "On the Approximate Calculation of Double Integrals", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "273--282", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55 65D30)", MRnumber = "84c:65051", MRreviewer = "S. Dubuc", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "School of Math. Sci., Tel-Aviv. Univ., Tel-Aviv, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate calculation; approximation theory; asymptotically optimal formulae; cubature formulae; double integrals; formulae; function approximation; functions; integration; line integrals; quadrature; rectangular-lattices of knots", treatment = "T Theoretical or Mathematical", } @Article{Mityagin:1983:QPL, author = "Boris Mityagin", title = "Quadratic pencils and least-squares piecewise-polynomial approximation", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "283--300", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15 (47A68)", MRnumber = "84c:41006", MRreviewer = "Klaus H{\"o}llig", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wolkenfelt:1983:MMM, author = "P. H. M. Wolkenfelt", title = "Modified multilag methods for {Volterra} functional equations", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "301--316", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "84c:65158", MRreviewer = "Sean McKee", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lucia:1983:EQN, author = "Angelo Lucia", title = "An explicit {quasi-Newton} update for sparse optimization calculations", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "317--322", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65K05", MRnumber = "83k:65052", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cybenko:1983:GOT, author = "George Cybenko", title = "A general orthogonalization technique with applications to time series analysis and signal processing", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "323--336", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F25 (62M20)", MRnumber = "84a:65032", MRreviewer = "N. N. Abdelmalek", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gautschi:1983:CBC, author = "Walter Gautschi", title = "On the convergence behavior of continued fractions with real elements", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "337--342", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "40A15 (33A15)", MRnumber = "84i:40001", MRreviewer = "Kh. {\u{I}}. Kuchm{\=\i}ns{\'k}a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Coleman:1983:CEB, author = "J. P. Coleman and A. J. Monaghan", title = "{Chebyshev} expansions for the {Bessel} function $ {J}_n(z) $ in the complex plane", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "343--366", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (30E10 33A40 65D20)", MRnumber = "84c:65013", MRreviewer = "C. W. Clenshaw", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Arscott:1983:NCE, author = "F. M. Arscott and P. J. Taylor and R. V. M. Zahar", title = "On the numerical construction of ellipsoidal wave functions", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "367--380", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (33A60 65H10 65P05)", MRnumber = "83k:65015", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Jaeschke:1983:SSA, author = "G. Jaeschke", title = "On the smallest $k$ such that all $ k \cdot 2^n + 1$ are composite", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "381--384", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "84k:10006", MRreviewer = "Anthony A. Gioia", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wagstaff:1983:DMN, author = "Samuel S. {Wagstaff, Jr.}", title = "Divisors of {Mersenne} Numbers", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "385--397", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10H15 (10-04 10A25)", MRnumber = "84j:10052", MRreviewer = "Jack P. Tull", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hagis:1983:SPO, author = "Peter {Hagis, Jr.}", title = "Sketch of a proof that an odd perfect number relatively prime to $3$ has at least eleven prime factors", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "399--404", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25 (11-04)", MRnumber = "85b:11004", MRreviewer = "Masao Kishore", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kishore:1983:OPN, author = "Masao Kishore", title = "Odd Perfect Numbers Not Divisible by $3$. {II}", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "405--411", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A20", MRnumber = "84d:10009", MRreviewer = "Harvey Cohn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chen:1983:TEM, author = "T. Charles Chen", title = "Table errata: {{\em Methods of numerical integration} [Academic Press, New York, 1975, MR {\bf 56} \#7119] by P. J. Davis and P. Rabinowitz}", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "417--417", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "83m:65019", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Baker:1983:CGA, author = "Garth A. Baker and Vassilios A. Dougalis and Ohannes A. Karakashian", title = "Convergence of {Galerkin} approximations for the {Korteweg--de Vries} equation", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "419--433", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (65M10)", MRnumber = "84f:65072", MRreviewer = "J. Ll. Morris", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); approximation theory; convergence of numerical methods; extrapolation; fully discrete; Galerkin approximations; iterative methods; Korteweg-de Vries equation; l-; Newton iteration; nonlinear differential equations; optimal rate of convergence estimates; periodic solutions; schemes; second order in time; semidiscrete schemes; smooth splines; splines; uniform mesh", treatment = "T Theoretical or Mathematical", } @Article{Rose:1983:NMF, author = "Michael E. Rose", title = "Numerical methods for flows through porous media. {I}", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "435--467", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (76S05)", MRnumber = "85a:65146", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340G (Fluid dynamics: general mathematical aspects); A4755M (Flow through porous media)", corpsource = "Dept. of Maths., Tulane Univ., New Orleans, LA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continuous time; degenerate parabolic equation; discrete time; element procedures; error analysis; error estimates; finite; finite element analysis; flow through porous; flows; gas; media; partial differential equations; porous media; regularity", treatment = "T Theoretical or Mathematical", } @Article{LeVeque:1983:NMB, author = "Randall J. LeVeque and Joseph Oliger", title = "Numerical methods based on additive splittings for hyperbolic partial differential equations", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "469--497", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05", MRnumber = "84c:65116", MRreviewer = "John C. Strikwerda", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Keast:1983:CSF, author = "P. Keast and G. Fairweather and J. C. Diaz", title = "A computational study of finite element methods for second order linear two-point boundary value problems", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "499--518", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (65N30 65N35)", MRnumber = "84c:65103", MRreviewer = "V. Pereyra", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra); C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Dept. of Computer Sci., Univ. of Toronto, Toronto, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; almost block diagonal structure; B-spline basis; boundary-value problems; collocation; convergence; convergence of numerical methods; differential equations; families; finite element; finite element analysis; linear; linear algebraic equations; linear boundary conditions; methods; parameterised; piecewise; polynomial; polynomials; problems; second order linear two-point boundary value; separated boundary conditions; special purpose solver", treatment = "P Practical", } @Article{Smith:1983:PII, author = "William E. Smith and Ian H. Sloan and Alex H. Opie", title = "Product integration over infinite intervals. {I}. Rules based on the zeros of {Hermite} polynomials", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "519--535", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "85a:65047", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Falk:1983:EEN, author = "Richard S. Falk", title = "Error estimates for the numerical identification of a variable coefficient", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "537--546", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N99 (65N30)", MRnumber = "84f:65085", MRreviewer = "E. G. D'yakonov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Iserles:1983:FFR, author = "A. Iserles and S. P. N{\o}rsett", title = "Frequency Fitting of Rational Approximations to the Exponential Function", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "547--559", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A20 (65L05)", MRnumber = "84b:41013", MRreviewer = "A. J. Rodrigues", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Glasser:1983:RPD, author = "M. L. Glasser", title = "A Remarkable Property of Definite Integrals", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "561--563", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "26A06 (26A42)", MRnumber = "84c:26003", MRreviewer = "G. A. Heuer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kolbig:1983:Ia, author = "K. S. K{\"o}lbig", title = "On the Integral $ \int^{\pi / 2}_0 \log^n \cos x \log^p \sin x d x $", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "565--570", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A35 (10H05)", MRnumber = "84d:33004", MRreviewer = "Anton Hut'a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Comp.Alg.1.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", annote = "A formula is derived for the integral in the title which allows easy evaluation by formula manipulation on a computer.", classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "CERN, Geneva, Switzerland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer; formula manipulation; integration; Reduce", treatment = "T Theoretical or Mathematical", } @Article{Adler:1983:BMT, author = "Andrew Adler", title = "On the Bisection Method for Triangles", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "571--574", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "51M15 (51M20 65L50 65N50)", MRnumber = "84d:51028", MRreviewer = "S. R. Mandan", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ellacott:1983:CFS, author = "S. W. Ellacott", title = "Computation of {Faber} series with application to numerical polynomial approximation in the complex plane", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "575--587", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (30B50 30E10 41A10)", MRnumber = "84e:65021", MRreviewer = "G. Opfer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Thron:1983:TEB, author = "W. J. Thron and Haakon Waadeland", title = "Truncation error bounds for limit periodic continued fractions", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "589--597", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30B70 (41A45)", MRnumber = "84f:30009", MRreviewer = "L. J. Lange", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Streit:1983:NSI, author = "Roy L. Streit and Albert H. Nuttall", title = "A note on the semi-infinite programming approach to complex approximation", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "599--605", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "49D39 (30E10 90C05)", MRnumber = "84g:49059", MRreviewer = "H. Voigt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Riley:1983:ACI, author = "Robert Riley", title = "Applications of a computer implementation of {Poincar{\'e}}'s theorem on fundamental polyhedra", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "607--632", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20H10 (11F06 20-04 22E40 51M20 57N10)", MRnumber = "85b:20064", MRreviewer = "William Harvey", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra); C1160 (Combinatorial mathematics); C7310 (Mathematics computing)", corpsource = "Inst. for Advanced Study, Princeton, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; algebraic topology; algorithmically defined group; complex quadratic; computer; FORTRAN programs; fundamental polyhedra; group; half space model; hyperbolic 3-space; hyperbolic space; implementation; isometries; number field; Poincar{\'e}'s theorem; topology; upper", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Grayson:1983:OSK, author = "Matthew A. Grayson", title = "The orbit space of a {Kleinian} group: {Riley}'s modest example", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "633--646", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20H10 (11F06 30F40 51M20 57M25)", MRnumber = "85b:20065", MRreviewer = "William Harvey", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brady:1983:DVR, author = "Allen H. Brady", title = "The Determination of the Value of {Rado}'s Noncomputable Function {$ {\Sigma }(k) $} for Four-State {Turing} Machines", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "647--665", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "03D10 (03B35 03D15 68C30 68D20)", MRnumber = "84d:03049", MRreviewer = "Robert M. Baer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4120 (Functional analysis); C4220 (Automata theory); C4240 (Programming and algorithm theory); C7310 (Mathematics computing)", corpsource = "Dept. of Maths., Univ. of Nevada, Reno, NV, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "blank input tape halting problem; Busy Beaver; cellular automata; computability and decidability; evaluation; finite automata; four-; function; function evaluation; Game; heuristic level; proof techniques; Rado's noncomputable function; score; shift number; state Turing machines; Turing machines", } @Article{Gerver:1983:ISI, author = "Joseph L. Gerver", title = "Irregular sets of integers generated by the greedy algorithm", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "667--676", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10L20 (10H20)", MRnumber = "84d:10056", MRreviewer = "Jack P. Tull", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Evans:1983:TFP, author = "Ronald J. Evans", title = "Twenty-Fourth Power Residue Difference Sets", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "677--683", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12C20 (05B10 10G05 10L05)", MRnumber = "84e:12024", MRreviewer = "A. L. Whiteman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Vaughan:1983:DQE, author = "Theresa P. Vaughan", title = "The discriminant of a quadratic extension of an algebraic field", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "685--707", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A50 (12A25)", MRnumber = "84e:12006", MRreviewer = "Harvey Cohn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wunderlich:1983:PAS, author = "M. C. Wunderlich", title = "A performance analysis of a simple prime-testing algorithm", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "709--714", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "84e:10011", MRreviewer = "R. G. Larson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics computing)", corpsource = "Dept. of Math. Sci., Northern Illinois Univ., Dekalb, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; down; empirical performance analysis; number theory; prime-proving program; recursive characteristics", treatment = "P Practical", } @Article{Schwindt:1983:TSC, author = "H. Schwindt", title = "Three Summation Criteria for {Fermat's Last Theorem}", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "715--716", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10-04 (10B15)", MRnumber = "84b:10003", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Smith:1983:TEH, author = "John M. Smith", title = "Table errata: {{\em Handbook of mathematical functions with formulas, graphs and mathematical tables} [Nat. Bur. Standards, Washington, D.C., 1964 and MR {\bf 29} \#4914]}", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "723--724", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (00A22)", MRnumber = "84e:65008", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Keller:1983:CPF, author = "Wilfred Keller", title = "Corrigendum: {``Primes of the form $ n! \pm 1 $ and $ 2 \cdot 3 \cdot 5 \cdots p \pm 1 $'' [Math. Comp. {\bf 38} (1982), no. 158, 639--643 and MR 83c:10006] by J. P. Buhler, R. E. Crandall and M. A. Penk}", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "727--727", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A07 11A41)", MRnumber = "85b:11119", bibdate = "Wed Jan 15 08:51:30 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Sloan:1983:BCF, author = "D. M. Sloan", title = "Boundary conditions for a fourth order hyperbolic difference scheme", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "1--11", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "85a:65142", MRreviewer = "Vassilios A. Dougalis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Strathclyde, Glasgow, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accuracy; boundary conditions; boundary errors; fourth order hyperbolic difference; partial differential equations; scheme; stability", treatment = "T Theoretical or Mathematical", } @Article{Li:1983:SHC, author = "Zi Cai Li and Guo Ping Liang", title = "On the Simplified Hybrid-Combined Method", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "13--25", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "84g:65152", MRreviewer = "C. Phillips", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Univ. of Toronto, Toronto, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic equation system; boundary value problems; boundary-value problems; differential equations; element analysis; elliptic equations; finite; finite element methods; optimal error; Ritz--Galerkin method; simplified hybrid-combined method; singularities; unbounded domains", treatment = "T Theoretical or Mathematical", } @Article{Crisci:1983:EOR, author = "M. R. Crisci and E. Russo", title = "An extension of {Ortiz}' recursive formulation of the tau method to certain linear systems of ordinary differential equations", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "27--42", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (65L07)", MRnumber = "85b:65061", MRreviewer = "W. H. Enright", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Istituto di Matematica, Univ. di Napoli, Napoli, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; linear systems; numerical solution; ordinary differential equations; Ortiz' recursive formulation; polynomial coefficients; Tau method", treatment = "T Theoretical or Mathematical", } @Article{McCormick:1983:UMS, author = "S. F. McCormick and J. W. Ruge", title = "Unigrid for Multigrid Simulation", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "43--62", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N20 (65F10 65N50)", MRnumber = "84g:65146", MRreviewer = "Randall J. LeVeque", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Colorado State Univ., Fort Collins, CO, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; fine grid approximation; multigrid simulation; partial differential equations; software tool; unigrid", treatment = "T Theoretical or Mathematical", } @Article{Rabinowitz:1983:GKI, author = "Philip Rabinowitz", title = "{Gauss--Kronrod} integration rules for {Cauchy} principal value integrals", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "63--78", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "84i:65029", MRreviewer = "T. H. Lim", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cauchy; Gauss--Kronrod integration rules; integral equations; polynomials; principal value integrals", treatment = "T Theoretical or Mathematical", } @Article{Ioakimidis:1983:FCR, author = "N. I. Ioakimidis", title = "Further convergence results for the weighted {Galerkin} method of numerical solution of {Cauchy-type} singular integral equations", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "79--85", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45E05 45L10)", MRnumber = "84g:65164", MRreviewer = "P. Linz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "School of Engng., Univ. of Patras, Patras, Greece", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cauchy-type singular integral equations; convergence; finite; integral equations; interval; numerical solution; polynomials; sufficiently weak continuity assumptions; weighted Galerkin method", treatment = "T Theoretical or Mathematical", } @Article{Lubich:1983:RKT, author = "Ch. Lubich", title = "{Runge--Kutta} theory for {Volterra} and {Abel} integral equations of the second kind", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "87--102", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "85a:65178", MRreviewer = "Syvert P. N{\o}rsett", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. fur Angewandte Math., Univ. Heidelberg, Heidelberg, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Abel; exact solutions; integral equations; Runge--Kutta methods; Runge--Kutta theory; smoothness properties; Volterra integral equations; weakly singular", treatment = "T Theoretical or Mathematical", } @Article{Lund:1983:SFQ, author = "John Lund", title = "Sinc function quadrature rules for the {Fourier} integral", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "103--113", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "85b:65018", MRreviewer = "A. Lupa{\c{s}}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Dept. of Math. Sci., Montana State Univ., Bozeman, MT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conformal map; Fourier transforms; numerical algorithm; numerical analysis; sinc function quadrature rules; Whittaker cardinal function expansion", treatment = "T Theoretical or Mathematical", } @Article{Haber:1983:PIP, author = "Seymour Haber", title = "Parameters for integrating periodic functions of several variables", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "115--129", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55)", MRnumber = "85g:65033", MRreviewer = "I. P. Mysovskikh", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Center for Appl. Math., NBS, Washington, DC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error bounds; functions; number-theoretical method; numerical integration; numerical methods; numerical parameters; periodic", treatment = "T Theoretical or Mathematical", } @Article{Chui:1983:SMS, author = "Charles K. Chui and Ren Hong Wang", title = "On Smooth Multivariate Spline Functions", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "131--142", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15 (41A63)", MRnumber = "84f:41011", MRreviewer = "Klaus H{\"o}llig", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; cross-cut grid; function approximation; interpolation; partitions; smooth multivariate spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Dahmen:1983:LIM, author = "Wolfgang A. Dahmen and Charles A. Micchelli", title = "On the linear independence of multivariate $ {B}$-splines. {II}. Complete configurations", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "143--163", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15 (65D07)", MRnumber = "85c:41016b", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Fakultat fur Math., Univ. Bielefeld, Bielefeld, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "characterizations; combinatorial criteria; global; knot sets; linear independence; multivariate B-splines; smooth piecewise polynomials; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Dyn:1983:NSE, author = "Nira Dyn and Warren E. {Ferguson, Jr.}", title = "The numerical solution of equality constrained quadratic programming problems", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "165--170", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "90C20", MRnumber = "85b:90051", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "School of Math. Sci., Tel-Aviv Univ., Tel-Aviv, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "constrained; equality constraints; equality-constrained quadratic; iterative schemes; linear; minimisation; minimization problem; numerical solution; programming problems; quadratic functional subject; quadratic programming", treatment = "T Theoretical or Mathematical", } @Article{Kolbig:1983:Ib, author = "K. S. K{\"o}lbig", title = "On the Integral $ \int^\infty_0 e^{- \mu t}t^{\nu - 1} \log^m t d t $", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "171--182", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A70 (33A15 44A10 80A99)", MRnumber = "84h:33021", MRreviewer = "H. E. Fettis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Comp.Alg.1.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", annote = "A recurrence relation is given for the integral in the title.", classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "CERN, Geneva, Switzerland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "half-; integer; integer values; integral transforms; recurrence relation; Reduce; transforms", treatment = "T Theoretical or Mathematical", } @Article{McCabe:1983:QDA, author = "J. H. McCabe", title = "The quotient-difference algorithm and the {Pad{\'e}} table: an alternative form and a general continued fraction", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "183--197", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30B70 (10A30 10F20 41A21)", MRnumber = "84k:30008", MRreviewer = "A. Magnus", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Univ. of St. Andrews, St. Andrews, Fife, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; fraction; general continued; Pad{\'e} approximants; Pad{\'e} table; power series; quotient-difference algorithm; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Lubinsky:1983:LZO, author = "D. S. Lubinsky and A. Sharif", title = "On the largest zeroes of orthogonal polynomials for certain weights", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "199--202", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "42C05 (33A65)", MRnumber = "84f:42015", MRreviewer = "T. S. Chihara", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Inst. of Technol., Haifa, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic growth; largest zeroes; orthogonal polynomials; poles and zeros; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Benton:1983:CZT, author = "T. C. Benton", title = "Common Zeros of Two {Bessel} Functions. Part {II}. Approximations and Tables", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "203--217", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A40 (65A05)", MRnumber = "85a:33010", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Math., Pennsylvania State Univ., University Park, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; computer program; poles and zeros", treatment = "T Theoretical or Mathematical", } @Article{Rall:1983:RIO, author = "L. B. Rall", title = "Representations of intervals and optimal error bounds", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "219--227", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65G10 (41A50)", MRnumber = "84g:65057", MRreviewer = "H. Ratschek", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Math. Res. Center, Univ. of Wisconsin-Madison, Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "absolute; error; error analysis; geometric means; harmonic; interval analysis; interval arithmetic; numerical analysis; optimal error bounds; relative error; relative precision", treatment = "T Theoretical or Mathematical", } @Article{Gerth:1983:AMF, author = "Frank {Gerth, III}", title = "An application of matrices over finite fields to algebraic number theory", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "229--234", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R21 15A33)", MRnumber = "85b:11094", MRreviewer = "Alan Candiotti", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Univ. of Texas, Austin, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number; finite fields; matrices application; matrix algebra; number theory; p-class group; theory", treatment = "T Theoretical or Mathematical", } @Article{Williams:1983:RME, author = "H. C. Williams and G. W. Dueck and B. K. Schmid", title = "A rapid method of evaluating the regulator and class number of a pure cubic field", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "235--286", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A50 (12-04 12A30 12A45)", MRnumber = "84m:12010", MRreviewer = "Charles J. Parry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number; class number; continued fraction algorithm; field; integral equations; negative discriminant; positive integer; pure cubic field; regulator; Voronoi algorithm", treatment = "T Theoretical or Mathematical", } @Article{Gerver:1983:FLN, author = "Joseph L. Gerver", title = "Factoring Large Numbers with a Quadratic Sieve", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "287--294", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (11-04 11N35)", MRnumber = "85c:11122", MRreviewer = "M. C. Wunderlich", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Dept. of Math., Rutgers Univ., Camden, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "47-digit number; CFEA; continued fraction; quadratic programming; quadratic sieve", treatment = "T Theoretical or Mathematical", } @Article{Schoof:1983:CGC, author = "R. J. Schoof", title = "Class Groups of Complex Quadratic Fields", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "295--302", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A25 (12-04 12A50 14K07)", MRnumber = "84h:12005", MRreviewer = "F. Diaz y Diaz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Seah:1983:CLC, author = "Eric Seah and Lawrence C. Washington and Hugh C. Williams", title = "The calculation of a large cubic class number with an application to real cyclotomic fields", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "303--305", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12A50 (12-04 12A35)", MRnumber = "84m:12008", MRreviewer = "Charles J. Parry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{vanHaeringen:1983:TEHa, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Higher transcendental functions, Vol. I} [McGraw-Hill, New York, 1955, F. Oberhettinger, MR {\bf 16}, 586] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "778--779", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33-XX", MRnumber = "84m:33001a", bibdate = "Wed Jan 15 08:53:07 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{vanHaeringen:1983:TEHb, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Higher transcendental functions, Vol. II} [McGraw-Hill, New York, 1955, F. Oberhettinger, MR {\bf 16}, 586] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "778--778", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33-XX", MRnumber = "84m:33001b", bibdate = "Wed Jan 15 08:53:07 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{vanHaeringen:1983:TEHc, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Higher transcendental functions, Vol. III} [McGraw-Hill, New York, 1955, F. Oberhettinger, MR {\bf 16}, 586] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "778--778", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33-XX", MRnumber = "84m:33001c", bibdate = "Wed Jan 15 08:53:07 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Tadmor:1983:UII, author = "Eitan Tadmor", title = "The unconditional instability of inflow-dependent boundary conditions in difference approximations to hyperbolic systems", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "309--319", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "85a:65143", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Osher:1983:NAN, author = "Stanley Osher and Richard Sanders", title = "Numerical approximations to nonlinear conservation laws with locally varying time and space grids", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "321--336", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (65M05 76-08)", MRnumber = "85i:65121", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{White:1983:MFD, author = "R. E. White", title = "A modified finite difference scheme for the {Stefan} problem", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "337--347", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (80A20)", MRnumber = "85m:65094", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Arnold:1983:ACC, author = "Douglas N. Arnold and Wolfgang L. Wendland", title = "On the Asymptotic Convergence of Collocation Methods", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "349--381", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N35 (65L10 65L60 65N30)", MRnumber = "85h:65254", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Arnold:1983:STG, author = "Douglas N. Arnold", title = "A spline-trigonometric {Galerkin} method and an exponentially convergent boundary integral method", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "383--397", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N15 (41A15 45L05 65D07 65R20)", MRnumber = "84m:65117", MRreviewer = "G. T. Symm", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); analytic plane; boundary-value problems; convergent boundary integral method; curve; Dirichlet problem; exponentially; functional equations; Hilbert spaces; negative order; numerical solution; periodic cardinal splines; pointwise convergence; potential formulation; quasioptimal approximation; single layer; Sobolev; space variable; spaces; spline-trigonometric Galerkin method; splines; stable method; test functions; trial functions; trigonometric polynomials", treatment = "T Theoretical or Mathematical", } @Article{Pitkaranta:1983:ASM, author = "J. Pitk{\"a}ranta and R. Stenberg", title = "Analysis of some mixed finite element methods for plane elasticity equations", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "399--423", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N15 (73K25)", MRnumber = "85b:65099", MRreviewer = "N. Gass", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Zlamal:1983:LSN, author = "Milo{\v{s}} Zl{\'a}mal", title = "A linear scheme for the numerical solution of nonlinear quasistationary magnetic fields", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "425--440", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (78-08 78A30)", MRnumber = "86a:65123", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4110F (Steady-state electromagnetic fields; electromagnetic induction); B0290K (Nonlinear and functional equations); B5120 (Magnetostatics); C4150 (Nonlinear and functional equations); C7320 (Physics and chemistry computing)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary condition; bounded domain; convergence; equation; error bound; fields; generalized Galerkin method; linear scheme; magnetic fields; magnetic vector; nonlinear; nonlinear elliptic; nonlinear equations; nonlinear parabolic equation; numerical analysis; numerical solution; one-step method; open nonempty set; physics computing; potential; quasistationary magnetic fields; stable scheme; two-dimensional magnetic", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1983:NMM, author = "Jim {Douglas, Jr.} and Jean E. Roberts", title = "Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "441--459", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (76S05)", MRnumber = "85d:65053", MRreviewer = "Jaros{\l}aw Jele{\'n}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Galeone:1983:UPM, author = "Luciano Galeone", title = "The use of positive matrices for the analysis of the large time behavior of the numerical solution of reaction-diffusion systems", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "461--472", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (15A51 65C20)", MRnumber = "85b:65086", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Mittelmann:1983:EAB, author = "H. D. Mittelmann", title = "An efficient algorithm for bifurcation problems of variational inequalities", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "473--485", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J15 (49A29 49D37)", MRnumber = "85c:65072", MRreviewer = "Henry Wolkowicz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Scheid:1983:ANS, author = "Robert E. {Scheid, Jr.}", title = "The accurate numerical solution of highly oscillatory ordinary differential equations", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "487--509", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (34C29)", MRnumber = "85i:65091", MRreviewer = "H. Brunner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra); C4170 (Differential equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accurate computation; analysis; asymptotic; diagonal; highly; imaginary eigenvalues; large time steps; matrix; matrix algebra; nonlinear differential equations; numerical; numerical solution; oscillatory ordinary differential equations; theory; weakly nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{Papatheodorou:1983:BAI, author = "Theodore S. Papatheodorou", title = "Block {AOR} Iteration for Nonsymmetric Matrices", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "511--525", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F50 (65F10)", MRnumber = "86a:65035", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Ypma:1983:LCD, author = "T. J. Ypma", title = "Local convergence of difference {Newton-like} methods", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "527--536", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10", MRnumber = "85f:65053", MRreviewer = "Michel Cosnard", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hasegawa:1983:GCI, author = "Takemitsu Hasegawa and Tatsuo Torii and Ichizo Ninomiya", title = "Generalized {Chebyshev} interpolation and its application to automatic quadrature", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "537--553", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55 65D05)", MRnumber = "84m:65037", MRreviewer = "M. M. Chawla", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "automatic quadrature; Chebyshev approximation; Clenshaw--Curtis type; derivatives; discontinuous low order; error analysis; error estimation; generalized Chebyshev interpolation; interpolation; procedure; sample points", treatment = "A Application; T Theoretical or Mathematical", } @Article{Massidda:1983:ACC, author = "Vittorio Massidda", title = "Analytical calculation of a class of integrals containing exponential and trigonometric functions", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "555--557", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A10 (42A16)", MRnumber = "84k:33002", MRreviewer = "G. Gasper", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kearfott:1983:SAI, author = "Ralph Baker Kearfott", title = "A Sinc Approximation for the Indefinite Integral", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "559--572", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (41A99)", MRnumber = "85g:65029", MRreviewer = "B. Boyanov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wilkins:1983:MQS, author = "J. Ernest {Wilkins, Jr.} and Theodore R. Hatcher", title = "The Maximum of a Quasi-Smooth Function", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "573--589", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "26D20", MRnumber = "85d:26008", MRreviewer = "Paul R. Beesack", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{King:1983:ABL, author = "Richard F. King", title = "{Anderson--Bj{\"o}rck} for Linear Sequences", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "591--596", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B99", MRnumber = "85i:65006", MRreviewer = "D. C. Joyce", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cruz:1983:MPR, author = "Andr{\'e}s Cruz and Javier Sesma", title = "Modulus and phase of the reduced logarithmic derivative of the {Hankel} function", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "597--605", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A40 (65H05 81F10)", MRnumber = "85b:33006", MRreviewer = "H. E. Fettis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kershaw:1983:SEW, author = "D. Kershaw", title = "Some extensions of {W. Gautschi}'s inequalities for the gamma function", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "607--611", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A15 (26D20 65D20)", MRnumber = "84m:33003", MRreviewer = "P. Anandani", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Okui:1983:SIR, author = "Shigehiko Okui", title = "Some integrals relating to the $ {I}_e$-function", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "613--622", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A40 (94A05)", MRnumber = "84j:33007", MRreviewer = "G. Gasper", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Albertsen:1983:NTA, author = "N. C. Albertsen and G. Jacobsen and S. B. S{\o}rensen", title = "Nonlinear transformations for accelerating the convergence of $ {M}$-dimensional series", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "623--634", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B10", MRnumber = "86a:65006", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Zajta:1983:SDE, author = "Aurel J. Zajta", title = "Solutions of the {Diophantine} equation $ {A}^4 + {B}^4 = {C}^4 + {D}^4 $", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "635--659", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25", MRnumber = "85d:11025", MRreviewer = "H. London", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Keller:1983:FFN, author = "Wilfrid Keller", title = "Factors of {Fermat} numbers and large primes of the form $ k \cdot 2^n + 1 $", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "661--673", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (11A41 11Y11)", MRnumber = "85b:11117", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lagrange:1983:SSW, author = "Jean Lagrange", title = "Sets of $n$ squares of which any $ n - 1$ have their sum square", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "675--681", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10B05 (10J05)", MRnumber = "84j:10012", MRreviewer = "David Lee Hilliker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Parson:1983:LBN, author = "L. Alayne Parson", title = "A Lower Bound for the Norm of the Theta Operator", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "683--685", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30F35 (11F11)", MRnumber = "85d:30073", MRreviewer = "Peter J. Nicholls", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Naur:1983:NIF, author = "Thorkil Naur", title = "New Integer Factorizations", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "687--695", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05", MRnumber = "85c:11123", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Pritchard:1983:EPA, author = "Paul A. Pritchard", title = "Eighteen Primes in Arithmetic Progression", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "697--697", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y55 (11B25)", MRnumber = "85c:11125", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Adleman:1983:ITF, author = "Leonard M. Adleman and Andrew M. Odlyzko", title = "Irreducibility testing and factorization of polynomials", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "699--709", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (11R09 12-04 68Q40)", MRnumber = "86f:11097", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cohn:1983:EFG, author = "H. Cohn and J. C. Lagarias", title = "On the Existence of Fields Governing the $2$-Invariants of the Classgroup of $ {Q}(\sqrt {dp})$ as $p$ Varies", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "711--730", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R11 (11R29 11R45)", MRnumber = "85b:11082", MRreviewer = "Ezra Brown", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bremner:1983:IP, author = "Andrew Bremner and Nicholas Tzanakis", title = "Integer Points on $ y^2 = x^3 - 7 x + 10 $", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "731--741", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25 (14K07)", MRnumber = "85c:11028", MRreviewer = "Michael Laska", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lehmer:1983:CSP, author = "D. H. Lehmer and Emma Lehmer", title = "Cyclotomy With Short Periods", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "743--758", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10G05 (10A40 12C20)", MRnumber = "84j:10048", MRreviewer = "R. J. Evans", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{vandeLune:1983:ZRZ, author = "J. {van de Lune} and H. J. J. {te Riele}", title = "On the zeros of the {Riemann} zeta function in the critical strip. {III}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "759--767", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M26 (11-04 11Y35)", MRnumber = "85e:11062", MRreviewer = "J{\"u}rgen G. Hinz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{vanHaeringen:1983:TEF, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Formulas and theorems for the special functions of mathematical physics} [Springer, New York, 1966 and F. Oberhettinger MR {\bf 38} \#1291] by W. Magnus and R. P. Soni}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "775--778", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33-02", MRnumber = "84i:33001", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{vanHaeringen:1983:TETa, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Tables of integral transforms, Vol. I} [McGraw-Hill, New York 1954, F. Oberhettinger MR {\bf 15}, 868] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "778--779", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "44-02", MRnumber = "84m:44001a", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{vanHaeringen:1983:TETb, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Tables of integral transforms, Vol. II} [McGraw-Hill, New York, 1954, F. Oberhettinger MR {\bf 16}, 468] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "779--780", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "44-02", MRnumber = "84m:44001b", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{vanHaeringen:1983:TEHd, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Handbook of mathematical functions, with formulas, graphs, and mathematical tables} [Dover, New York, 1966 and MR {\bf 34} \#8606]}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "780--780", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05", MRnumber = "84m:65014", bibdate = "Wed Jan 15 08:51:56 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Krupnikov:1983:TET, author = "Ernst D. Krupnikov", title = "Table errata: {{\em Table of integrals, series, and products} [Academic Press, New York, 1980 and MR 81g:33001] by I. S. Gradshte{\u{\i}}n and I. M. Ryzhik}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "780--783", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33-01", MRnumber = "85a:33001", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Longman:1983:TEH, author = "I. M. Longman", title = "Table errata: {{\em Handbook of mathematical functions with formulas, graphs, and mathematical tables} [U.S. Government Printing Office, Washington, D.C., 1964 and MR {\bf 29} \#4914]}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "783--783", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05", MRnumber = "84i:65009", bibdate = "Wed Jan 15 08:53:18 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Wahlbin:1984:SCL, author = "Lars B. Wahlbin", title = "On the Sharpness of Certain Local Estimates for $ \overset {\circ }{H}^1 $ Projections into Finite Element Spaces: Influence of a Reentrant Corner", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "1--8", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15)", MRnumber = "86b:65129", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Maths., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Dirichlet problem; element solutions; finite element analysis; finite element spaces; Galerkin finite; H/sup 1/ projections; homogeneous; piecewise polynomial spaces; plane polygonal domain; Poisson's equation; polynomials; reentrant corner; sharpness", treatment = "T Theoretical or Mathematical", } @Article{Stenberg:1984:AMF, author = "Rolf Stenberg", title = "Analysis of Mixed Finite Element Methods for the {Stokes} Problem: a Unified Approach", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "9--23", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76-08 (76D07)", MRnumber = "84k:76014", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Inst. of Maths., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approach; Brezzi inequality; classical Babu{\v{s}}ka-; convergence; finite element analysis; mixed finite element methods; optimal order; stability; Stokes Problem; unified; velocity-pressure formulation", treatment = "T Theoretical or Mathematical", } @Article{Mattheij:1984:OSI, author = "R. M. M. Mattheij and G. W. M. Staarink", title = "On Optimal Shooting Intervals", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "25--40", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10", MRnumber = "85f:65072", MRreviewer = "M. M. Chawla", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4240 (Programming and algorithm theory)", corpsource = "Maths. Inst., Katholieke Univ., Nijmegen, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adaptive; boundary condition; computational complexity; CPU time; errors; gridpoints; multiple shooting strategy; optimal shooting intervals; rounding", treatment = "T Theoretical or Mathematical", } @Article{Weiss:1984:ABT, author = "Richard Weiss", title = "An analysis of the box and trapezoidal schemes for linear singularly perturbed boundary value problems", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "41--67", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (34E15)", MRnumber = "86b:65085", MRreviewer = "Zheng You Zhu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. fur Angewandte und Numerische Maths., Techn. Univ. Wien, Wien, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; box schemes; convergence results; differential equations; linear singularly perturbed boundary; ordinary differential equations; stability; trapezoidal schemes; value problems", treatment = "T Theoretical or Mathematical", } @Article{Werschulz:1984:DIR, author = "Arthur G. Werschulz", title = "Does Increased Regularity Lower Complexity?", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "69--93", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "68Q25 (65D05)", MRnumber = "86a:68046", MRreviewer = "Lydia Kronsj{\"o}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Computer Sci., Columbia Univ., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; optimal error; partial differential equations; regularity; Sobolev norm", treatment = "T Theoretical or Mathematical", } @Article{Brunner:1984:IRK, author = "Hermann Brunner", title = "Implicit {Runge--Kutta} methods of optimal order for {Volterra} integro-differential equations", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "95--109", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45J05 45L10)", MRnumber = "85m:65129", MRreviewer = "G. A. Evans", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. of Maths., Univ. of Fribourg, Fribourg, Switzerland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate solution; differential equations; discretized collocation methods; fully; implicit Runge--Kutta methods; integro-differential equations; optimal order; polynomial spline spaces; polynomials; quadrature formulas; Runge--Kutta methods; Volterra", treatment = "T Theoretical or Mathematical", } @Article{Huang:1984:NAI, author = "Yougun Huang and Jack Williams", title = "A Note on An Algorithm for Interpolating Rationals", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "111--113", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (41A20)", MRnumber = "85m:65010", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Electronic Engng. Dept., Shen Yang Inst. of Mech. and Electrical Engng., China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; interpolation; rationals interpolation; simultaneous exchange algorithm", treatment = "T Theoretical or Mathematical", } @Article{Simon:1984:LAP, author = "Horst D. Simon", title = "The {L{\'a}nczos} algorithm with partial reorthogonalization", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "115--142", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (65F25)", MRnumber = "85h:65075", MRreviewer = "O. O. Romanovs{\'k}i\u\i", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Boeing Computer Services Co., Tukwila, WA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "eigenvalues; eigenvalues and eigenfunctions; equations; full reorthogonalization; Lanczos algorithm; linear differential; linear equations; orthogonality; orthogonalization; partial; reorthogonalization; roundoff errors; selective", treatment = "T Theoretical or Mathematical", } @Article{Boley:1984:MMR, author = "Daniel Boley and Gene H. Golub", title = "A modified method for reconstructing periodic {Jacobi} matrices", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "143--150", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15 (15A18)", MRnumber = "85h:65078", MRreviewer = "Alan L. Andrew", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Computer Sci. Dept., Univ. of Minnesota, Minneapolis, MN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; initial data items; matrix algebra; numerically stable; periodic Jacobi matrices; spectral data", treatment = "T Theoretical or Mathematical", } @Article{Chen:1984:ACH, author = "Han Lin Chen and Tron Hvaring", title = "Approximation of complex harmonic functions by complex harmonic splines", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "151--164", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30C30 (30E10 41A15)", MRnumber = "84m:30012", MRreviewer = "D. Gaier", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Inst. of Maths., Acad. Sinica, Beijing, China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex harmonic; complex harmonic functions approximation; conformal mapping; elementary functions; interpolated function; interpolation; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Igarashi:1984:TCI, author = "Masao Igarashi", title = "A termination criterion for iterative methods used to find the zeros of polynomials", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "165--171", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H05 (65G99)", MRnumber = "85b:65040", MRreviewer = "G. J. Miel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Coll. of Agriculture and Veterinary Medicine, Nihon Univ., Kanagawa, Japan", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "iterative methods; mantissa; poles and zeros; polynomials; termination criterion; zeros", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Byrd:1984:CQR, author = "Paul F. Byrd and Lawrence Stalla", title = "{Chebyshev} quadrature rules for a new class of weight functions", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "173--181", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "85i:65030", MRreviewer = "J. G. Herriot", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Maths. and Computer Sci., San Jose State Univ., San Jose, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev; Chebyshev approximation; Chebyshev quadrature rule; error term; quadratures; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Foster:1984:AHM, author = "D. M. E. Foster and G. M. Phillips", title = "The Arithmetic-Harmonic Mean", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "183--191", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "40A99 (40A25)", MRnumber = "85j:40008", MRreviewer = "Amnon Jakimovski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1120 (Mathematical analysis)", corpsource = "Maths. Inst., Univ. of St. Andrews, St. Andrews, Fife, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Archimedean process; arithmetic-harmonic; geometric mean; harmonic analysis; harmonic means; mean; sequences", treatment = "T Theoretical or Mathematical", } @Article{Meyer:1984:SIE, author = "Burnett Meyer", title = "Some Inequalities for Elementary Mean Values", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "193--194", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "26D20 (26D15)", MRnumber = "85h:26025", MRreviewer = "Paul R. Beesack", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1120 (Mathematical analysis)", corpsource = "Dept. of Maths., Univ. of Colorado, Boulder, CO, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic mean; elementary mean; harmonic analysis; harmonic means; inequalities; lower bounds; values", treatment = "T Theoretical or Mathematical", } @Article{Piessens:1984:SEF, author = "R. Piessens", title = "A Series Expansion for the First Positive Zero of the {Bessel} Functions", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "195--197", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A40 (65D20)", MRnumber = "84m:33014", MRreviewer = "M. E. Muldoon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Comp.Alg.1.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", annote = "Gives explicit series for first positive zero for 4 terms, using REDUCE.", classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Computer Sci., Univ. of Leuven, Heverlee, Belgium", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bessel functions; poles and zeros; positive zero; Reduce; series (mathematics); series expansion", treatment = "T Theoretical or Mathematical", } @Article{Newman:1984:SAS, author = "Morris Newman and Daniel Shanks", title = "On a sequence arising in series for $ \pi $", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "199--217", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y35 (11F11)", MRnumber = "85k:11069", MRreviewer = "D. H. Lehmer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Maths., Univ. of California, Santa Barbara, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adic numbers; cubic recurrences; p-; positive integers; rational sequence; sequences; series; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{teRiele:1984:GNA, author = "Herman J. J. {te Riele}", title = "On Generating New Amicable Pairs from Given Amicable Pairs", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "219--223", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11-04 11A99)", MRnumber = "85d:11107", MRreviewer = "Neville Robbins", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Maths. Centre, Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; amicable pairs; daughter pairs; granddaughter pairs; integers; mother pairs; positive", treatment = "T Theoretical or Mathematical", } @Article{Gupta:1984:DEP, author = "Hansraj Gupta", title = "{Diophantine} Equations in Partitions", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "225--229", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11P68 (05A17)", MRnumber = "85c:11090", MRreviewer = "M. Livingston", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Maths., Panjab Univ., Chandigarh, India", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equations; integral equations; partitions; positive integers; residue classes; Rogers--Ramanujan identities", treatment = "T Theoretical or Mathematical", } @Article{Kishore:1984:OTN, author = "Masao Kishore", title = "Odd Triperfect Numbers", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "231--233", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25", MRnumber = "85d:11009", MRreviewer = "Neville Robbins", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Maths., East Caroline Univ., Greenville, NC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "distinct prime factors; number theory; odd triperfect numbers", treatment = "T Theoretical or Mathematical", } @Article{Scarowsky:1984:NDE, author = "Manny Scarowsky and Abraham Boyarsky", title = "A note on the {Diophantine} equation $ x^n + y^n + z^n = 3 $", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "235--237", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25 (11D41)", MRnumber = "85c:11029", MRreviewer = "R. F. Churchhouse", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Maths., Concordia Univ., Montreal, Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equation; integral equations", treatment = "T Theoretical or Mathematical", } @Article{Brown:1984:DE, author = "M. L. Brown", title = "On the {Diophantine} equation $ \sum {X}_i = \prod {X}_i $", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "239--240", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D72", MRnumber = "85d:11030", MRreviewer = "H. London", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Pure Maths., Univ. Coll., Cardiff, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "finite sequence; integral equations; positive integers", treatment = "T Theoretical or Mathematical", } @Article{Ferguson:1984:ZMT, author = "H. R. P. Ferguson and R. D. Major and K. E. Powell and H. G. Throolin", title = "On Zeros of {Mellin} Transforms of {$ {\rm SL}_2 (\mathbf {Z}) $} Cusp Forms", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "241--255", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F66 (11R42)", MRnumber = "85e:11036", MRreviewer = "James Lee Hafner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Dept. of Maths., Brigham Young Univ., Provo, UT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic Fourier; analytic; coefficients; continuations; Dirichlet series; eigenforms; eigenvalues and eigenfunctions; functional equations; Hasse-Weil L-functions; Hecke operators; Mellin transforms; modular cusp forms; poles and zeros; Riemann hypothesis; Selberg trace formula; transforms; zeros", treatment = "B Bibliography", } @Article{Bremner:1984:E, author = "A. Bremner and J. W. S. Cassels", title = "On the Equation $ {Y}^2 = {X}({X}^2 + p) $", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "257--264", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25 (11G05 14G05)", MRnumber = "85f:11017", MRreviewer = "Toshihiro Hadano", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Pure Maths. Maths. Statistics, Univ. of Cambridge, Cambridge, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equation; generators; integral equations; rational points group", treatment = "T Theoretical or Mathematical", } @Article{McCurley:1984:EEE, author = "Kevin S. McCurley", title = "Explicit estimates for the error term in the prime number theorem for arithmetic progressions", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "265--285", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11N13 (11-04 11Y35)", MRnumber = "85e:11065", MRreviewer = "Matti Jutila", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Maths., Michigan State Univ., East Lansing, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic progressions; Chebyshev approximation; Chebyshev functions; Dirichlet L-functions; error term; explicit estimates; moduli; nonexceptional; prime number theorem", treatment = "T Theoretical or Mathematical", } @Article{McCurley:1984:EE, author = "Kevin S. McCurley", title = "Explicit Estimates for $ \theta (x; 3, l) $ and $ \psi (x; 3, l) $", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "287--296", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11N56", MRnumber = "85g:11085", MRreviewer = "G. J. Rieger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Maths., Michigan State Univ., East Lansing, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic progressions; Chebyshev approximation; Chebyshev functions; Dirichlet L-; explicit estimates; functions; prime number; theorem; zeros", treatment = "T Theoretical or Mathematical", } @Article{Cohen:1984:PTJ, author = "H. Cohen and H. W. {Lenstra, Jr.}", title = "Primality Testing and {Jacobi} Sums", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "297--330", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A51)", MRnumber = "86g:11078", MRreviewer = "Carl Pomerance", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. et Informatique, Univ. de Bordeaux I, Talence, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Jacobi sums; polynomials; primality testing", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Lenstra:1984:DRC, author = "H. W. {Lenstra, Jr.}", title = "Divisors in Residue Classes", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "331--340", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (11A51 11N69)", MRnumber = "85b:11118", MRreviewer = "Jack P. Tull", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Univ. van Amsterdam, Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coding theory; combinatorial; computational number theory; integers; model; number theory; positive divisors; residue classes", treatment = "T Theoretical or Mathematical", } @Article{Eriksson:1984:GMS, author = "Kenneth Eriksson and Vidar Thom{\'e}e", title = "{Galerkin} methods for singular boundary value problems in one space dimension", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "345--367", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L60 (65L10)", MRnumber = "85i:65107", MRreviewer = "G. Meinardus", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Chalmers Univ. of Technol., Univ. of Goteborg, Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bilinear forms; boundary-value problems; estimates; functions; Galerkin methods; one space dimension; optimal order error; piecewise polynomial approximation; piecewise-linear techniques; polynomials; problems; singular boundary value; weight", treatment = "T Theoretical or Mathematical", } @Article{Brown:1984:NNS, author = "David L. Brown", title = "A note on the numerical solution of the wave equation with piecewise smooth coefficients", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "369--391", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "85h:65194", MRreviewer = "Anton Hut'a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340K (Waves and wave propagation: general mathematical aspects)", corpsource = "Dept. of Appl. Math., California Inst. of Technol., Pasadena, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergent difference approximations; initial value; initial value problems; numerical analysis; numerical phase velocity; numerical solution; piecewise smooth coefficients; problem; wave equation; wave equations; wave propagation", treatment = "T Theoretical or Mathematical", } @Article{Geveci:1984:CGA, author = "Tunc Geveci", title = "On the convergence of {Galerkin} approximation schemes for second-order hyperbolic equations in energy and negative norms", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "393--415", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60", MRnumber = "85m:65099", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "CSIR, Pretoria, South Africa", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; convergence; error estimates; Galerkin approximation schemes; hyperbolic equations; initial value problems; initial-boundary value; negative norms; problem; second-order; time derivatives", treatment = "T Theoretical or Mathematical", } @Article{Nakao:1984:CGM, author = "Mitsuhiro Nakao", title = "A collocation-$ {H}^{-1}$-{Galerkin} method for some elliptic equations", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "417--426", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "86a:65120", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Kyushu Inst. of Technol., Kitakyushu, Japan", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation solution; approximation theory; boundary value problems; boundary-value problems; collocation-H/sup -1/-Galerkin method; discontinuous piecewise polynomial spaces; elliptic equations; Jacobi; optimal order; points; polynomials; products; tensor; weight function", treatment = "T Theoretical or Mathematical", } @Article{Gartland:1984:AAE, author = "Eugene C. {Gartland, Jr.}", title = "Accurate approximation of eigenvalues and zeros of selected eigenfunctions of regular {Sturm--Liouville} problems", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "427--439", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L15", MRnumber = "85d:65045", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Dept. of Math., Southern Methodist Univ., Dallas, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accurate approximation; and zeros; approximate Newton method; eigenfunctions; eigenvalues; eigenvalues and eigenfunctions; minimax techniques; minimax variational principles; poles; problems; regular Sturm--Liouville; variational techniques; zeros", treatment = "T Theoretical or Mathematical", } @Article{Weinmuller:1984:DMS, author = "Ewa Weinm{\"u}ller", title = "A difference method for a singular boundary value problem of second order", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "441--464", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (39A12)", MRnumber = "85i:65103", MRreviewer = "I. P. Gavrilyuk", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. fur Angewandte und Numerische Math., Tech. Univ. Wien, Wien, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; difference method; numerical solution; point discretization; second order; singular boundary value problem; systems; three-", treatment = "T Theoretical or Mathematical", } @Article{Berger:1984:PEA, author = "Alan E. Berger and Hou De Han and R. Bruce Kellogg", title = "A priori estimates and analysis of a numerical method for a turning point problem", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "465--492", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (34E20)", MRnumber = "85h:65158", MRreviewer = "W. Wasow", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Naval Surface Weapons Center, Silver Spring, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "a priori estimates; boundary-value problems; bounds; finite difference scheme; numerical method; problem; turning point; uniform error estimate", treatment = "T Theoretical or Mathematical", } @Article{Shi:1984:CPQ, author = "Zhong Ci Shi", title = "On the convergence properties of the quadrilateral elements of {Sander} and {Beckers}", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "493--504", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (73K25)", MRnumber = "85h:65245", MRreviewer = "Rolf Rannacher", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., China Univ. of Sci. and Technol., Hofei, China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence properties; differential equations; elements; finite element analysis; mathematical analysis; nonconforming quadrilateral membrane", treatment = "T Theoretical or Mathematical", } @Article{Braess:1984:CRM, author = "Dietrich Braess", title = "The Convergence Rate of a Multigrid Method with {Gauss--Seidel} Relaxation for the {Poisson} Equation", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "505--519", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N20", MRnumber = "85f:65105", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. fur Math., Ruhr-Univ. Bochum, Bochum, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; boundary-value problems; convergence rate; finite element analysis; Gauss--Seidel relaxation; multigrid method; numerical; numerical solution; Poisson equation; pollution effects; uniform grid", treatment = "T Theoretical or Mathematical", } @Article{Steihaug:1984:SSL, author = "Trond Steihaug", title = "On the sparse and symmetric least-change secant update", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "521--533", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H05 (65F50)", MRnumber = "85h:65108", MRreviewer = "Vasile M. Ionescu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Dept. of Math. Sci., Rice Univ., Houston, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bounds; change secant update; coefficient; consistent linear system; eigenvalues; eigenvalues and eigenfunctions; gradient method; matrix; minimisation; minimisation problem; preconditioned conjugate; quasiNewton method; sparse least change secant update; symmetric least-; unconstrained", treatment = "T Theoretical or Mathematical", } @Article{Chan:1984:ECF, author = "Tony F. Chan", title = "On the Existence and Computation of $ {LU}$-Factorizations with Small Pivots", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "535--547", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F05 (15A23)", MRnumber = "85i:65037", MRreviewer = "R. J. Plemmons", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", note = "Citation communicated by Per Christian Hansen.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Computer Sci., Yale Univ., New Haven, CT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computation; eigenvalues and eigenfunctions; existence; LU-factorizations; matrix; matrix algebra; singular vectors; small pivots", kwds = "nla, lud, pivoting, rank determination", treatment = "T Theoretical or Mathematical", } @Article{Rodrigue:1984:PIB, author = "Garry Rodrigue and Donald Wolitzer", title = "Preconditioning By Incomplete Block Cyclic Reduction", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "549--565", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (65W05)", MRnumber = "85i:65041", MRreviewer = "Cs. J. Heged\H us", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Lawrence Livermore Nat. Lab., Livermore, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discretization; elliptic/parabolic partial differential equations; equations; factorizations; incomplete block cyclic; iterative methods; linear systems; partial differential; preconditioning; reduction; vector processor", kwds = "nla, preconditioning, block algorithm, cyclic reduction, incomplete factorization", treatment = "T Theoretical or Mathematical", } @Article{Saad:1984:CAT, author = "Youcef Saad", title = "{Chebyshev} Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "567--588", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15 (65F50)", MRnumber = "85i:65049", MRreviewer = "W. Niethammer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computer Sci., Yale Univ., New Haven, CT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev acceleration techniques; Chebyshev approximation; Chebyshev polynomials; eigenvalues and eigenfunctions; iterative methods; nonsymmetric eigenvalue; polynomials; problems; sparse nonsymmetric matrix; subspace iteration method", kwds = "nla, eig, sparse, Chebyshev acceleration, nonsymmetric matrix", treatment = "T Theoretical or Mathematical", } @Article{Misici:1984:NST, author = "Luciano Misici", title = "Numerical Solution of Two Transcendental Equations", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "589--595", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H05 (65N25)", MRnumber = "85c:65056", MRreviewer = "E. R. Hansen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Phys., Univ. of Camerino, Camerino, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "biharmonic equation; boundary value; boundary-value problems; iterative methods; iterative procedure; numerical solution; Papkovich-Fadle series; problems; transcendental equations", treatment = "T Theoretical or Mathematical", } @Article{Laforgia:1984:FIG, author = "Andrea Laforgia", title = "Further Inequalities for the Gamma Function", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "597--600", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A15", MRnumber = "85i:33001", MRreviewer = "H. E. Fettis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Torino, Torino, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "gamma function; inequalities; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Fransen:1984:CMM, author = "Arne Frans{\'e}n and Staffan Wrigge", title = "Calculation of the moments and the moment generating function for the reciprocal gamma distribution", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "601--616", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (60E10 62E15 65U05)", MRnumber = "86f:65042a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C1210B (Reliability theory); C4130 (Interpolation and function approximation)", corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "kurtosis; moment generating function; moments; polynomials; reciprocal gamma distribution; reliability theory; skewness; variance", treatment = "T Theoretical or Mathematical", } @Article{Wrigge:1984:NMG, author = "Staffan Wrigge", title = "A note on the moment generating function for the reciprocal gamma distribution", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "617--621", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (60E10 62E15 65U05)", MRnumber = "86f:65042b", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Euler--Maclaurin expansion; moment generating function; polynomials; reciprocal gamma distribution", treatment = "T Theoretical or Mathematical", } @Article{Mansfield:1984:CAC, author = "Richard Mansfield", title = "A Complete Axiomatization of Computer Arithmetic", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "623--635", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65G99 (03B70 03C70 68Q40)", MRnumber = "85k:65040", MRreviewer = "R. P. Brent", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", URL = "http://www.jstor.org/stable/2007607", abstract = "We define an axiom system for rounded arithmetic to be complete if we can recover from any model of the axioms the exact algebra from whence it came. A complete set of axioms is given for rounded addition and multiplication.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Pennsylvania State Univ., University Park, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "axiom system; complete axiomatization; computer arithmetic; digital arithmetic; multiplication; rounded addition; rounded arithmetic", treatment = "T Theoretical or Mathematical", } @Article{vonzurGathen:1984:HNM, author = "Joachim {von zur Gathen}", title = "{Hensel} and {Newton} methods in valuation rings", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "637--661", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12J20 (65P05)", MRnumber = "85j:12012", MRreviewer = "Maurice Mignotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Univ. of Toronto, Toronto, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic equations; approximate factorizations; differential; differential equations; equations; Hensel method; modules; Newton method; polynomials; rings; valuation; vectors", treatment = "T Theoretical or Mathematical", } @Article{Smyth:1984:MVT, author = "C. J. Smyth", title = "The Mean Values of Totally Real Algebraic Integers", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "663--681", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R80 (11R04 11S05)", MRnumber = "86e:11115", MRreviewer = "D. Boyd", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., James Cook Univ. of North Queensland, Townsville, Qld., Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "mean values; polynomials; root; totally real algebraic integers", treatment = "T Theoretical or Mathematical", } @Article{Williams:1984:ANI, author = "H. C. Williams and G. W. Dueck", title = "An analogue of the nearest integer continued fraction for certain cubic irrationalities", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "683--705", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11J70 (11A55 11Y65)", MRnumber = "85j:11077", MRreviewer = "P. Bundschuh", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cubic irrationalities; nearest integer continued fraction; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Godwin:1984:QFS, author = "H. J. Godwin", title = "On quartic fields of signature one with small discriminant. {II}", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "707--711", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11R29)", MRnumber = "85i:11092a", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Statistics and Computer Sci., Royal Holloway Coll., Egham, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex conjugates; discriminant; polynomials; quartic fields; real conjugates; signature one; tables", treatment = "T Theoretical or Mathematical", } @Article{Schaffer:1984:SHO, author = "Steve Schaffer", title = "Supplement to Higher Order Multi-Grid Methods", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "S1--S19", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Crandall:1984:TAS, author = "M. G. Crandall and P. L. Lions", title = "Two approximations of solutions of {Hamilton--Jacobi} equations", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "1--19", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35F20 49C10)", MRnumber = "86j:65121", MRreviewer = "Steven M. Serbin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Wisconsin Univ., Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "calculus of variations; control theory; convergence; convergence of numerical methods; difference approximations; difference equations; differential games; equations; error analysis; error estimates; generalised solutions; Hamilton--Jacobi equations; initial value problems; initial-value problems; partial differential; partial differential equations; vanishing; viscosity", treatment = "T Theoretical or Mathematical", } @Article{Sanz-Serna:1984:MNS, author = "J. M. Sanz-Serna", title = "Methods for the Numerical Solution of the Nonlinear {Schr{\"o}dinger} Equation", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "21--27", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "86c:65098", MRreviewer = "K. Balla", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0365G (Solutions of wave equations: bound state in quantum theory); B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. de Ecuaciones Funcionales, Valladolid, Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; difference equations; finite element analysis; nonlinear differential equations; Schr{\"o}dinger equation; optimal L/sup 2/ convergence rates; numerical solution; nonlinear Schr{\"o}dinger equation; fully-discrete schemes; finite differences; finite elements; discretization in; space; integration in time; leap-frog technique; modified; Crank--Nicolson procedure", treatment = "T Theoretical or Mathematical", } @Article{Bendali:1984:NAEa, author = "A. Bendali", title = "Numerical Analysis of the Exterior Boundary Value Problem for the Time-Harmonic {Maxwell} Equations by a Boundary Finite Element Method. Part 1: The Continuous Problem", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "29--46", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (78-08 78A45)", MRnumber = "86i:65071a", MRreviewer = "Hartmut Strese", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4110F (Steady-state electromagnetic fields; electromagnetic induction); B5140 (Electromagnetic induction)", corpsource = "Centre de Math. Appl., Ecole Polytech., Palaiseau, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary finite element method; boundary-value problems; continuous; electromagnetic induction; element analysis; equations; exterior boundary value problem; finite; harmonic incident electromagnetic wave; integral equations; perfectly conducting surface; problem; skin currents; time-; time-harmonic Maxwell", treatment = "T Theoretical or Mathematical", } @Article{Bendali:1984:NAEb, author = "A. Bendali", title = "Numerical Analysis of the Exterior Boundary Value Problem for the Time-Harmonic {Maxwell} Equations by a Boundary Finite Element Method. Part 2: The Discrete Problem", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "47--68", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (78-08 78A45)", MRnumber = "86i:65071b", MRreviewer = "Hartmut Strese", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4110F (Steady-state electromagnetic fields; electromagnetic induction); B5100 (Electric and magnetic fields)", corpsource = "Centre de Math. Appl., Ecole Polytech., Palaiseau, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; approximate surface; boundary; boundary-value problems; corresponding fields; curved finite elements; discrete problem; electromagnetism; elements; existence; exterior boundary; finite element; finite element method; integral equations; mixed finite; surface charges; surface currents; time-harmonic Maxwell equations; uniqueness; value problem", treatment = "T Theoretical or Mathematical", } @Article{Goldfarb:1984:OEJ, author = "D. Goldfarb and Ph. L. Toint", title = "Optimal estimation of {Jacobian} and {Hessian} matrices that arise in finite difference calculations", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "69--88", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F50 (65N20)", MRnumber = "86g:65086", MRreviewer = "E. Schechter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/auto.diff.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Ind. Eng. and Oper. Res., Columbia Univ., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; computational; difference equations; equations; finite difference; finite difference calculations; Hessian matrices; Jacobian matrices; matrix algebra; molecule; optimal estimation; partial differential; partial differential equations; stencil", referred = "[Bisc91a].", treatment = "T Theoretical or Mathematical", } @Article{Schaffer:1984:HOM, author = "Steve Schaffer", title = "Higher Order Multi-Grid Methods", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "89--115, S1--19", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N05 (65N10 65N50)", MRnumber = "85f:65101", MRreviewer = "S. F. McCormick", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Computer Res., Colorado State Univ., Fort Collins, CO, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; difference equations; equation solver; equations; finite difference approximations; forth order discretisations; higher order difference; higher order multigrid methods; inner loop; iterated defect corrections; local mode analysis; partial differential; partial differential equations; Poisson's equations; sixth order discretisations; smoothing; tau-extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Foias:1984:DSN, author = "Ciprian Foia{\c{s}} and Roger Temam", title = "Determination of the solutions of the {Navier--Stokes} equations by a set of nodal values", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "117--133", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "35Q10 (76D05)", MRnumber = "85f:35165", MRreviewer = "Charles J. Amick", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. of Math., Indiana Univ., Bloomington, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discrete set; incompressible fluid; large time behavior; Navier--Stokes equations; nodal values; partial differential equations; stationary solutions; viscosity; viscous", treatment = "T Theoretical or Mathematical", } @Article{Schechter:1984:SCR, author = "Eric Schechter", title = "Sharp convergence rates for nonlinear product formulas", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "135--155", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J15 (34G20 47H15)", MRnumber = "85i:65074", MRreviewer = "Antonio de Bivar-Weinholtz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Vanderbilt Univ., Nashville, TN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; equations; Lie--Trotter product formula; nonlinear differential; nonlinear partial differential equations; nonlinear product formulas; optimal convergence rates; partial differential equations; sharp convergence rates", treatment = "T Theoretical or Mathematical", } @Article{Ascher:1984:CSP, author = "U. Ascher and R. Weiss", title = "Collocation for singular perturbation problems. {II}. {Linear} first order systems without turning points", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "157--187", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (34E15)", MRnumber = "86g:65138a", MRreviewer = "D. F. Mayers", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; collocation; construction; convergence; convergence of numerical methods; Gauss points; linear; linear differential equations; linear first-order systems; Lobatto points; mesh; ODEs; perturbation techniques; singular perturbation problems; variable coefficients", treatment = "T Theoretical or Mathematical", } @Article{Onumanyi:1984:NSS, author = "P. Onumanyi and E. L. Ortiz", title = "Numerical solution of stiff and singularly perturbed boundary value problems with a segmented-adaptive formulation of the tau method", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "189--203", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10", MRnumber = "85m:65071", MRreviewer = "David R. Hill", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; approximant; boundary value; boundary-value problems; differential equations; error; error estimation; formulation; ordinary; Ortiz' recursive; piecewise polynomial approximations; polynomials; problems; rapid functional; segmented Tau; segmented-adaptive formulation; singularly perturbed problems; stiff problems; variations; Zadunaisky correction", treatment = "T Theoretical or Mathematical", } @Article{Werner:1984:PIL, author = "Wilhelm Werner", title = "Polynomial Interpolation: {Lagrange} versus {Newton}", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "205--217", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05", MRnumber = "86g:65024", MRreviewer = "K. Jetter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Fachbereich Math., Johannes Gutenberg Univ., Mainz, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic; interpolating polynomial; interpolation; Lagrangian form; Newtonian form; operations; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Lubinsky:1984:RCG, author = "D. S. Lubinsky and P. Rabinowitz", title = "Rates of convergence of {Gaussian} quadrature for singular integrands", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "219--242", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "86b:65018", MRreviewer = "J. G. Herriot", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Nat. Res. Inst. for Math. Sci., CSIR, Pretoria, South Africa", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic singularity; bounded smooth weight function; convergence of numerical methods; convergence rates; divergence rates; endpoint; Gaussian quadrature; integration; logarithmic; singular integrands; singularity", treatment = "T Theoretical or Mathematical", } @Article{Lacroix:1984:CZL, author = "Norbert H. J. Lacroix", title = "On Common Zeros of {Legendre}'s Associated Functions", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "243--245", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A45", MRnumber = "85f:33012", MRreviewer = "S. Conde", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Laval Univ., Quebec City, Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "associated functions; common zeros; Legendre; Legendre associated polynomials; poles and zeros; polynomials; Prufer polar coordinates", treatment = "T Theoretical or Mathematical", } @Article{Kiper:1984:FSC, author = "Ay{\c{s}}e Kiper", title = "{Fourier} series coefficients for powers of the {Jacobian} elliptic functions", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "247--259", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A25", MRnumber = "85d:33003", MRreviewer = "R. G. Langebartel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Dept. of Comput. Sci., Middle East Tech. Univ., Ankara, Turkey", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "expansion; Fourier analysis; Fourier series; Fourier series coefficients; functional analysis; Jacobian elliptic functions; powers; series (mathematics); two-term recurrence formulae", treatment = "T Theoretical or Mathematical", } @Article{Wroblewski:1984:NSI, author = "J. Wr{\'o}blewski", title = "A nonaveraging set of integers with a large sum of reciprocals", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "261--262", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B25", MRnumber = "85k:11006", MRreviewer = "John R. Rabung", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic progression; large sum of reciprocals; nonaveraging set of integers; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Cohen:1984:PAN, author = "Graeme L. Cohen", title = "Primitive $ \alpha $-abundant numbers", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "263--270", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25", MRnumber = "85i:11006", MRreviewer = "Torleiv Kl{\o}ve", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Sch. of Math. Sci., New South Wales Inst. of Technol., Broadway, NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; primitive alpha -abundant numbers", treatment = "T Theoretical or Mathematical", } @Article{Rotkiewicz:1984:C, author = "A. Rotkiewicz", title = "On the Congruence $ 2^{n - 2} \equiv 1 (\operatorname {mod} n) $", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "271--272", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A07", MRnumber = "85e:11005", MRreviewer = "Joseph B. Dennin, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Inst. of Math., Polish Acad. of Sci., Warsaw, Poland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; pseudoprime numbers", treatment = "T Theoretical or Mathematical", } @Article{Hao:1984:GBN, author = "Fred H. Hao and Charles J. Parry", title = "Generalized {Bernoulli} numbers and $m$-regular primes", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "273--288", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R20 11Y40)", MRnumber = "85h:11062", MRreviewer = "Krystyna Bartz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Valparaiso Univ., IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abelian number field; characterizations; class number; generalized Bernoulli numbers; m-regular primes; number theory", treatment = "T Theoretical or Mathematical", } @Article{Schnorr:1984:MCF, author = "C. P. Schnorr and H. W. {Lenstra, Jr.}", title = "A {Monte Carlo} factoring algorithm with linear storage", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "289--311", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (68Q25)", MRnumber = "85d:11106", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1140G (Monte Carlo methods); C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Math. Inst., Amsterdam Univ., Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class numbers; computational complexity; integer factoring; linear; Monte Carlo factoring algorithm; Monte Carlo methods; number theory; running time; storage; storage space", treatment = "T Theoretical or Mathematical", } @Article{Buell:1984:ESU, author = "Duncan A. Buell", title = "The expectation of success using a {Monte Carlo} factoring method---some statistics on quadratic class numbers", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "313--327", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (11A51 11R29 11Y40)", MRnumber = "85k:11068", MRreviewer = "Henri Cohen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0240G (Monte Carlo methods); B0250 (Combinatorial mathematics); C1140G (Monte Carlo methods); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Lousiana State Univ., Baton Rouge, LA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class groups; equivalence classes; expectation of; imaginary quadratic fields; integer factoring; Monte Carlo factoring method; Monte Carlo methods; number theory; numbers; quadratic class; quadratic fields; results; statistical; success", treatment = "T Theoretical or Mathematical", } @Article{Adams:1984:SQP, author = "William W. Adams", title = "Splitting of Quartic Polynomials", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "329--343", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12E10 (11R09 11R27)", MRnumber = "85f:12005", MRreviewer = "K. Lakkis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "detailed deterministic; polynomials; procedure; quartic polynomials; reciprocal polynomials; recursion; splitting", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1984:TEF, author = "Henry E. Fettis", title = "Table errata: {{\em Formulas and theorems for the special functions of mathematical physics} [second edition, Springer, Berlin, 1948 and 38] by W. Magnus MR {\bf 10} and F. Oberhettinger. (German)}", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "346--346", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "00A22", MRnumber = "85e:00021", bibdate = "Wed Jan 15 09:18:22 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Salzer:1984:TET, author = "Herbert E. Salzer", title = "Table errata: {{\em Table of sines and cosines to ten decimal places at thousandths of a degree} [Pergamon, New York, 1962 and MR {\bf 26} \#361] by Salzer and N. Levine}", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "346--346", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "00A22 (65A05)", MRnumber = "85e:00022", bibdate = "Wed Jan 15 09:18:29 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Fairweather:1984:CCS, author = "G. Fairweather", title = "Corrigenda: {``A computational study of finite element methods for second-order linear two-point boundary value problems'' [Math. Comp. {\bf 40} (1983), no. 162, 499--518, MR 84c:65103] by Fairweather, P. Keast and J. C. Diaz}", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "347--347", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (65N30 65N35)", MRnumber = "85h:65161", bibdate = "Wed Jan 15 09:18:10 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lax:1984:CEF, author = "M. Lax and G. P. Agrawal", title = "Corrigenda: {``Evaluation of Fourier integrals using $B$-splines''} {[Math. Comp. {\bf 39} (1982), no. 160, 535--548, MR 83i:65021]}", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "347--347", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (42A15 65R10)", MRnumber = "85g:65030", bibdate = "Wed Jan 15 09:18:26 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bales:1984:SSSb, author = "Laurence A. Bales", title = "Supplement to: {``Semidiscrete and single step fully discrete approximations for second order hyperbolic equations with time-dependent coefficients''}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "S1--S12", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (65M20)", MRnumber = "86g:65179b", MRreviewer = "Randall J. LeVeque", bibdate = "Mon Jul 26 15:51:52 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gautschi:1984:MYL, author = "Walter Gautschi and Jet Wimp", title = "In memoriam: {Yudell L. Luke, June 26, 1918--May 6, 1983}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "349--352", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "01A70", MRnumber = "86b:01033", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Tadmor:1984:LTB, author = "Eitan Tadmor", title = "The large-time behavior of the scalar, genuinely nonlinear {Lax--Friedrichs} scheme", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "353--368", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (35L65)", MRnumber = "86g:65162", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Tadmor:1984:NVE, author = "Eitan Tadmor", title = "Numerical viscosity and the entropy condition for conservative difference schemes", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "369--381", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (35L65)", MRnumber = "86g:65163", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "NASA Langley Res. Centre, Hampton, VI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conservative; convergence of numerical methods; difference equations; difference schemes; entropy; entropy condition; entropy inequality; entropy satisfying convergence; numerical viscosity; viscosity; weak solution", treatment = "T Theoretical or Mathematical", } @Article{Bales:1984:SSSa, author = "Laurence A. Bales", title = "Semidiscrete and Single Step Fully Discrete Approximations for Second Order Hyperbolic Equations With Time-Dependent Coefficients", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "383--414", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (65M20)", MRnumber = "86g:65179a", MRreviewer = "Randall J. LeVeque", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Friedman:1984:FEF, author = "Mark J. Friedman", title = "Finite element formulation of the general magnetostatic problem in the space of solenoidal vector functions", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "415--431", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "78A30 (65N30 78-08)", MRnumber = "86f:78008", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4110D (Electrostatics, magnetostatics); B0180 (Other general electrical engineering topics); B0290B (Error analysis in numerical methods); B0290R (Integral equations); B5120 (Magnetostatics); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Iowa State Univ., Ames, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary; bounded ferromagnetic domain; discretization; element method; error analysis; finite; finite element analysis; general; integral equations; iron domain; iterative methods; Lipschitz boundary; magnetic; magnetostatic problem; magnetostatics; monotone operators; permeability; singular integral operator; solenoidal vector functions", treatment = "T Theoretical or Mathematical", } @Article{Pasciak:1984:NSP, author = "Joseph E. Pasciak", title = "A new scalar potential formulation of the magnetostatic field problem", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "433--445", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "78A30 (65N30)", MRnumber = "86f:78009", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4110D (Electrostatics, magnetostatics); B0290R (Integral equations)B5120 (Magnetostatics); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math., Brookhaven Nat. Lab., Upton, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary; computational; convergence; integral; integral equations; integral operator; intensity; magnetic; magnetic fields; magnetostatic field problem; magnetostatics; method; nonlinear static magnetic field; numerical methods; permeability errors; potential formulation; scalar; spectral properties; stability theorems; volume integral formulation", treatment = "T Theoretical or Mathematical", } @Article{Friedman:1984:SPM, author = "Mark J. Friedman and Joseph E. Pasciak", title = "Spectral properties for the magnetization integral operator", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "447--453", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "78A30 (47G05)", MRnumber = "86f:78007", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4110D (Electrostatics, magnetostatics); B0290R (Integral equations)B5120 (Magnetostatics); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math., Brookhaven Nat. Lab., Upton, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; fields; identity map; integral equations; integral formulation; invariant subspaces; Lipschitz continuous boundary; magnetic; magnetisation; magnetization integral operator; magnetostatics; nonlinear magnetostatic field problems; numerical; positive definite bounded operator; singular integral operator; space; spectral decomposition; spectral properties; techniques; three dimensional Euclidean; zero map", treatment = "T Theoretical or Mathematical", } @Article{Eggermont:1984:APQ, author = "P. P. B. Eggermont", title = "Approximation properties of quadrature methods for {Volterra} integral equations of the first kind", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "455--471", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L05)", MRnumber = "86c:65152", MRreviewer = "Sean McKee", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 Math. Sci., Delaware Univ., Newark, DE, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation properties; approximation theory; asymptotic repetition factor; asymptotically optimal; collocation-projection; convergence of numerical methods; cyclic; error analysis; error estimates; function approximation; integral equations; iterative methods; linear multistep; methods; minimal smoothness conditions; quadrature methods; reducible quadrature methods; stable; Volterra integral equations; zero-", treatment = "T Theoretical or Mathematical", } @Article{Rheinboldt:1984:DAS, author = "Werner C. Rheinboldt", title = "Differential-algebraic systems as differential equations on manifolds", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "473--482", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "58F99 (34A15 65L99)", MRnumber = "86c:58131", MRreviewer = "Fran{\c{c}}ois Aribaud", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stewart:1984:ABS, author = "G. W. Stewart", title = "On the Asymptotic Behavior of Scaled Singular Value and {QR} Decompositions", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "483--489", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F35 (15A23 65D10)", MRnumber = "86f:65085", MRreviewer = "Alan L. Andrew", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", kwds = "la, qrd, svd, scaling", } @Article{Demko:1984:DRI, author = "Stephen Demko and William F. Moss and Philip W. Smith", title = "Decay Rates for Inverses of Band Matrices", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "491--499", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "15A09 (15A60 65F15)", MRnumber = "85m:15002", MRreviewer = "Donald Kershaw", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{McCurdy:1984:ACD, author = "A. McCurdy and K. C. Ng and B. N. Parlett", title = "Accurate computation of divided differences of the exponential function", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "501--528", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (33A10 65G05)", MRnumber = "86e:65029", MRreviewer = "S. Conde", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shawyer:1984:BAP, author = "B. L. R. Shawyer", title = "Best Approximation of Positive Power Series", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "529--534", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A10 (41A50)", MRnumber = "86g:41014", MRreviewer = "S. Aljan{\v{c}}i{\'c}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Western Ontario Univ., London, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; errors; function approximation; moment sequence; positive power series; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Dyn:1984:CHB, author = "Nira Dyn", title = "Composite {Hermite--Birkhoff} quadrature formulas of {Gaussian} type", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "535--541", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A55 (41A50)", MRnumber = "85k:41043", MRreviewer = "Yury Girshovich", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kautsky:1984:GQJ, author = "J. Kautsk{\'y} and S. Elhay", title = "{Gauss} Quadratures and {Jacobi} Matrices for Weight Functions Not of One Sign", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "543--550", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55 65F15)", MRnumber = "86f:65049", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Newman:1984:ABS, author = "J. N. Newman", title = "Approximations for the {Bessel} and {Struve} functions", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "551--556", month = oct, year = "1984", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1984-0758202-X", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20 (33A40)", MRnumber = "86c:65021", MRreviewer = "S. Conde", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C1120 (Mathematical analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Ocean Eng., MIT, Cambridge, MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accuracy; Bessel functions; function approximation; functions; IBM PC computer; minimax; polynomial approximations; polynomials; rational-fraction approximations; single-precision computations; Struve", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1984:MTI, author = "Henry E. Fettis", title = "More Trigonometric Integrals", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "557--564", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A10 (26A42)", MRnumber = "86f:33001", MRreviewer = "S. Conde", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Spoletini:1984:GPF, author = "Enrico Spoletini", title = "Generation of permutations following {Lehmer} and {Howell}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "565--572", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05A05", MRnumber = "86h:05006", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Plesken:1984:LSD, author = "W. Plesken and W. Hanrath", title = "The Lattices of Six-Dimensional {Euclidean} Space", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "573--587", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11H06 (20H15 52A43)", MRnumber = "85m:11036", MRreviewer = "C. G. Lekkerkerker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Grone:1984:ASI, author = "Robert Grone and Russell Merris", title = "An Algorithm for the Second Immanant", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "589--591", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "15A15 (05C50 20C30)", MRnumber = "85i:15008", MRreviewer = "Uno Kaljulaid", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Boyd:1984:PNN, author = "David W. Boyd", title = "{Pisot} numbers in the neighborhood of a limit point. {II}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "593--602", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R06", MRnumber = "87c:11096b", MRreviewer = "Marthe Grandet", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hudson:1984:PSP, author = "Richard H. Hudson", title = "Products and Sums of Powers of Binomial Coefficients $ \operatorname {mod} p $ and Solutions of Certain Quaternary {Diophantine} Systems", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "603--613", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D09 (11E20)", MRnumber = "87e:11035", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Godwin:1984:CQF, author = "H. J. Godwin", title = "Corrigenda: {``On quartic fields of signature one with small discriminant. II''}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "621--621", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11R29)", MRnumber = "85i:11092b", MRreviewer = "Duncan A. Buell", bibdate = "Wed Jan 15 09:18:32 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Vaughan:1984:CDQ, author = "Theresa P. Vaughan", title = "Corrigenda: {``The discriminant of a quadratic extension of an algebraic field''} {[Math. Comp. {\bf 40} (1983), no. 162, 685--707, MR 84e:12006]}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "621--621", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R11)", MRnumber = "85k:11061", bibdate = "Wed Jan 15 09:18:35 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gautschi:1985:SGQ, author = "Walter Gautschi and Gradimir V. Milovanovic", title = "Supplement to {Gaussian} Quadrature Involving {Einstein} and {Fermi} Functions with an Application to Summation of Series", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "S1--S11", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Graimain:1985:SCA, author = "F. Graimain and M. Weber", title = "Supplement to Computing an Arithmetic Constant Related to the Ring of {Gaussian} Integers", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "S13--S16", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Osher:1985:ECS, author = "Stanley Osher and Mohamed Hafez and Woodrow {Whitlow, Jr.}", title = "Entropy condition satisfying approximations for the full potential equation of transonic flow", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "1--29", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76H05 (65M05 76-08)", MRnumber = "86c:76036", MRreviewer = "P. C. Jain", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4740H (Transonic flows); A4740N (Shock-wave interactions); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conservative difference approximations; difference equations; entropy; expansion shocks; finite element analysis; inequality; shock waves; steady full potential equation; transonic flow", treatment = "T Theoretical or Mathematical", } @Article{Schonbek:1985:SOC, author = "Maria E. Schonbek", title = "Second-order conservative schemes and the entropy condition", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "31--38", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35L65)", MRnumber = "87c:65112", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0570 (Thermodynamics); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conservation laws; entropy; hyperbolic conservation laws; local entropy inequality; numerical approximations; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1985:GEM, author = "Jim {Douglas, Jr.} and Jean E. Roberts", title = "Global estimates for mixed methods for second order elliptic equations", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "39--52", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "86b:65122", MRreviewer = "A. O. Garder", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; differential equations; Dirichlet problem; elliptic operator; error analysis; finite element; method; mixed finite element; Nedelec space; numerical methods; Raviart--Thomas-; second order elliptic equations", treatment = "T Theoretical or Mathematical", } @Article{Aziz:1985:LSM, author = "A. K. Aziz and R. B. Kellogg and A. B. Stephens", title = "Least Squares Methods for Elliptic Systems", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "53--70", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76D07)", MRnumber = "86i:65069", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Agmon-Douglis-Nirenberg; approximations; boundary-value problems; elliptic; error analysis; least squares; numerical solution; partial differential equations; type; weighted least squares method", treatment = "T Theoretical or Mathematical", } @Article{Bernardi:1985:ASF, author = "Christine Bernardi and Genevi{\`e}ve Raugel", title = "Analysis of some finite elements for the {Stokes} problem", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "71--79", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76-08 76D07)", MRnumber = "86b:65119", MRreviewer = "Murli M. Gupta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; error; error analysis; estimates; finite element analysis; finite elements; partial; Stokes equation; Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{Scheid:1985:DMP, author = "Robert E. {Scheid, Jr.}", title = "Difference methods for problems with different time scales", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "81--92", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (34E20)", MRnumber = "86e:65098", MRreviewer = "G. Hall", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational example; difference methods; different time scales; differential equations; nonlinear; nonlinear equations; ordinary differential equations; oscillating solutions; rapidly; systems", treatment = "T Theoretical or Mathematical", } @Article{deHoog:1985:ARK, author = "Frank {de Hoog} and Richard Weiss", title = "The application of {Runge--Kutta} schemes to singular initial value problems", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "93--103", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "86h:65100", MRreviewer = "J. C. Butcher", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; differential equations; initial value problems; Runge--Kutta methods; Runge--Kutta schemes; singular initial value problems", treatment = "T Theoretical or Mathematical", } @Article{Parlett:1985:LAL, author = "Beresford N. Parlett and Derek R. Taylor and Zhishun A. Liu", title = "A look-ahead {L{\'a}nczos} algorithm for unsymmetric matrices", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "105--124", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15", MRnumber = "86f:65072", MRreviewer = "Youcef Saad", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "eigenvalues and eigenfunctions; instability; look-ahead Lanczos algorithm; matrix; matrix algebra; moment; plasma; triangular factorization; tridiagonal matrix; unsymmetric matrices", treatment = "T Theoretical or Mathematical", } @Article{Wright:1985:FAS, author = "Alden H. Wright", title = "Finding all solutions to a system of polynomial equations", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "125--133", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12D05 (65H10)", MRnumber = "86i:12001", MRreviewer = "Jacques Calmet", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex variables; computational method; homotopy; nonlinear equations; polynomial equations; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Pasquini:1985:GCM, author = "L. Pasquini and D. Trigiante", title = "A globally convergent method for simultaneously finding polynomial roots", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "135--149", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H05", MRnumber = "86e:65068", MRreviewer = "J. A. Grant", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; convergence of numerical methods; globally convergent method; polynomial roots; polynomials; quadratic convergence; simultaneous", treatment = "T Theoretical or Mathematical", } @Article{Shrager:1985:RRR, author = "Richard I. Shrager", title = "A Rapid Robust Rootfinder", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "151--165", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H05", MRnumber = "86m:65050", MRreviewer = "Erich Bohl", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic; convergence rate; equation; interpolation; inverse quadratic interpolation; nonlinear; nonlinear equations; numerical algorithm; rapid robust rootfinder; robust calculation; three-point", treatment = "T Theoretical or Mathematical", } @Article{Mahoney:1985:PFE, author = "J. F. Mahoney", title = "Partial fraction evaluation and incomplete decomposition of a rational function whose denominator contains a repeated polynomial factor", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "167--175", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F99", MRnumber = "86b:65037", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "denominator; partial fraction; polynomials; rational function; repeated polynomial factor", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1985:GQI, author = "Walter Gautschi and Gradimir V. Milovanovi{\'c}", title = "{Gaussian} quadrature involving {Einstein} and {Fermi} functions with an application to summation of series", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "177--190", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (33A65 65A05 65B10 81-08 82-08)", MRnumber = "86j:65028", MRreviewer = "Gh. Adam", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0520 (Statistical mechanics); A0570 (Thermodynamics); B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "composite; convergent series; discretized Stieltjes procedure; Einstein functions; Fejer quadrature rule; Fermi functions; Gauss--Laguerre; Gaussian quadrature; integration; series (mathematics); statistical mechanics; thermodynamics", treatment = "T Theoretical or Mathematical", } @Article{Ioakimidis:1985:UCG, author = "N. I. Ioakimidis", title = "On the uniform convergence of {Gaussian} quadrature rules for {Cauchy} principal value integrals and their derivatives", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "191--198", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (65R20)", MRnumber = "86d:65038", MRreviewer = "M. I. Levin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cauchy principal value integrals; convergence of numerical methods; Gaussian quadrature rules; Holder-continuous derivatives; integral equations; integration; numerical solution; singular", treatment = "T Theoretical or Mathematical", } @Article{Ioakimidis:1985:AQR, author = "N. I. Ioakimidis", title = "Application of quadrature rules for {Cauchy-type} integrals to the generalized {Poincar{\'e}-Bertrand} formula", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "199--206", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (65R20)", MRnumber = "86d:65039", MRreviewer = "M. I. Levin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); B0290R (Integral equations); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Bertrand transportation formula; Cauchy-type integrals; Gauss--Jacobi quadrature; integral equations; integration; numerical solution; Poincar{\'e}-; principal value integrals; rule; singular integral equations", treatment = "T Theoretical or Mathematical", } @Article{Newman:1985:SVF, author = "D. J. Newman", title = "A simplified version of the fast algorithms of {Brent} and {Salamin}", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "207--210", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20", MRnumber = "86e:65030", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/agm.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "exponential; fast algorithms; function approximation; function approximations; Gauss arithmetic--geometric process; pi", treatment = "T Theoretical or Mathematical", } @Article{Pereira:1985:ECF, author = "N. Costa Pereira", title = "Estimates for the {Chebyshev} function $ \psi (x) - \theta (x) $", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "211--221", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25 (11N45 11Y35 33A70)", MRnumber = "86k:11005", bibdate = "Thu Jun 15 07:26:46 2000", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", note = "See corrigendum \cite{Pereira:1987:CEC}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev function", treatment = "T Theoretical or Mathematical", } @Article{Apostol:1985:FHD, author = "Tom M. Apostol", title = "Formulas for higher derivatives of the {Riemann} zeta function", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "223--232", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M06", MRnumber = "86c:11063", MRreviewer = "Aleksandar Ivi{\'c}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0220 (Mathematical analysis); B0290K (Nonlinear and functional equations); C1120 (Mathematical analysis); C4150 (Nonlinear and functional equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "functional equations; Riemann zeta function", treatment = "T Theoretical or Mathematical", } @Article{Lehner:1985:CSI, author = "J. Lehner and M. Sheingorn", title = "Computing self-intersections of closed geodesics on finite-sheeted covers of the modular surface", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "233--240", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F06 (11J06 20H10 30F35)", MRnumber = "86e:11031", MRreviewer = "Caroline Series", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290Z (Other numerical methods); C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "closed geodesics; finite-sheeted covers; geometry; irrationality; Markov quadratic; modular surface; Riemann surface; self-intersections", treatment = "T Theoretical or Mathematical", } @Article{Gramain:1985:CAC, author = "F. Gramain and M. Weber", title = "Computing an arithmetic constant related to the ring of {Gaussian} integers", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "241--250, S13--S16", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D99 (11J99 11Y60 30D15)", MRnumber = "87a:11028", MRreviewer = "J. C. Lagarias", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290Z (Other numerical methods); C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic constant; BASIC listing; BASIC listings; Euler constant; Gaussian integers; minimal disks; number theory", treatment = "T Theoretical or Mathematical", } @Article{Wunderlich:1985:ICF, author = "Marvin C. Wunderlich", title = "Implementing the continued fraction factoring algorithm on parallel machines", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "251--260", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y65 (11A51 11Y11)", MRnumber = "86d:11104", MRreviewer = "Kevin S. McCurley", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290Z (Other numerical methods); C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "60 decimal digit; continued fraction factoring algorithm; DAP parallel; early abort strategy; large prime variation; number theory; parallel processing; processor; running time analysis", treatment = "T Theoretical or Mathematical", } @Article{Kishore:1985:OTN, author = "Masao Kishore", title = "Odd triperfect numbers are divisible by eleven distinct prime factors", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "261--263", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25", MRnumber = "86k:11007", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290Z (Other numerical methods); C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "distinct prime factors; number theory; odd triperfect number", treatment = "T Theoretical or Mathematical", } @Article{Cassels:1985:NDE, author = "J. W. S. Cassels", title = "A note on the {Diophantine} equation $ x^3 + y^3 + z^3 = 3 $", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "265--266", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25", MRnumber = "86d:11021", MRreviewer = "F. Beukers", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equation; integral solution; number theory", treatment = "T Theoretical or Mathematical", } @Article{Alex:1985:DE, author = "Leo J. Alex", title = "On the {Diophantine} equation $ 1 + 2^a = 3^b 5^c + 2^d 3^e 5^f $", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "267--278", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D61", MRnumber = "86e:11023", MRreviewer = "E. L. Cohen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290Z (Other numerical methods); C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equation; equations; modular arithmetic; number theory", treatment = "T Theoretical or Mathematical", } @Article{Salzer:1985:TET, author = "Herbert E. Salzer and Norman Levine", title = "Table errata: {{\em Tables of sines and cosines to ten decimal places at thousandths of a degree} [Pergamon Press, New York, 1962 and MR {\bf 26} \#361]}", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "281--281", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05", MRnumber = "86i:65006", bibdate = "Wed Jan 15 09:18:45 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Chan:1985:CEC, author = "Tony F. Chan", title = "Corrigendum: {``On the existence and computation of $ L U$-factorizations with small pivots''} {[Math. Comp. {\bf 42} (1984), no. 166, 535--547, MR 85i:65037]}", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "282--282", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F05 (15A23)", MRnumber = "86j:65033", bibdate = "Wed Jan 15 09:18:37 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Kok:1985:SCG, author = "Barbara Kok and Tunc Geveci", title = "Supplement to the Convergence of {Galerkin} Approximation Schemes for Second-Order Hyperbolic Equations With Dissipation", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "S17--S25", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bank:1985:SPE, author = "R. E. Bank and A. Weiser", title = "Some a posteriori error estimators for elliptic partial differential equations", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "283--301", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15)", MRnumber = "86g:65207", MRreviewer = "Rolf Rannacher", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "California Univ., San Diego, La Jolla, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "a posteriori error estimators; differential equations; elliptic partial differential; energy norm; equations; error analysis; finite element analysis; finite element solutions; local; mesh size; multiplicative constants; Neumann problems; partial; true error; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Milner:1985:MFE, author = "F. A. Milner", title = "Mixed finite element methods for quasilinear second-order elliptic problems", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "303--320", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15)", MRnumber = "86g:65215", MRreviewer = "Reinhard Scholz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Chicago Univ., IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; elliptic partial differential equation; error analysis; existence; finite element analysis; mixed finite element method; optimal rate error estimates; partial; quasilinear second-order; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Eriksson:1985:IAA, author = "Kenneth Eriksson", title = "Improved accuracy by adapted mesh-refinements in the finite element method", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "321--343", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N50)", MRnumber = "86j:65155a", MRreviewer = "Rolf Rannacher", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adapted Mesh-refinements; approximate solution; differential equations; Dirac distribution; error analysis; finite element analysis; finite element method; Neumann; optimal; order error estimates; partial; problem; second-order elliptic equation", treatment = "T Theoretical or Mathematical", } @Article{Eriksson:1985:FEM, author = "Kenneth Eriksson", title = "Finite element methods of optimal order for problems with singular data", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "345--360", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N50)", MRnumber = "86j:65155b", MRreviewer = "Rolf Rannacher", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adapted finite element; differential equations; elliptic problems; error analysis; finite element analysis; mesh-refinements; method; optimal order error estimates; partial; singular data", treatment = "T Theoretical or Mathematical", } @Article{Goldberg:1985:CSC, author = "Moshe Goldberg and Eitan Tadmor", title = "Convenient stability criteria for difference approximations of hyperbolic initial-boundary value problems", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "361--377", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "86k:65078", MRreviewer = "V. D. Glushenkov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Comput. Applications in Sci. and Eng., VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; convergence of numerical methods; difference equations; finite-difference approximations; hyperbolic initial-boundary value; partial differential equations; problems; stability criteria", treatment = "T Theoretical or Mathematical", } @Article{Kok:1985:CGA, author = "Barbara Kok and Tunc Geveci", title = "The convergence of {Galerkin} approximation schemes for second-order hyperbolic equations with dissipation", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "379--390, S17--S25", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (65M60)", MRnumber = "86m:65110", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "CSIR, Pretoria, South Africa", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; fully discrete; Galerkin approximations; initial value problems; partial differential equations; semidiscrete Galerkin approximations", treatment = "T Theoretical or Mathematical", } @Article{Jones:1985:VSS, author = "H. M. Jones and S. McKee", title = "Variable step size predictor-corrector schemes for second kind {Volterra} integral equations", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "391--404", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45D05)", MRnumber = "86h:65197", MRreviewer = "H. Brunner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Comput. Lab., Oxford Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; equations; error analysis; error control; explicit Euler predictor; implicit; integral; multistep methods; predictor-corrector; predictor-corrector methods; schemes; second kind Volterra integral equations; size; stability control; variable step", treatment = "T Theoretical or Mathematical", } @Article{Bigge:1985:SSF, author = "J. Bigge and E. Bohl", title = "On the Steady States of Finitely Many Chemical Cells", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "405--415", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "80A32 (92A40)", MRnumber = "86k:80010", MRreviewer = "Gert Due Billing", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A8710 (General, theoretical, and mathematical biophysics); A8725D (Biological transport; cellular and subcellular transmembrane physics)", corpsource = "Konstanz Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "and dynamics; bifurcation points; biodiffusion; boundary value; boundary-value problems; case; cellular transport; differential equations; diffusion-reaction phenomena; discrete; finitely many chemical cells; mathematical model; problem; steady states; two-dimensional model", treatment = "T Theoretical or Mathematical", } @Article{Saad:1985:CGL, author = "Youcef Saad and Martin H. Schultz", title = "Conjugate Gradient-like Algorithms for Solving Nonsymmetric Linear Systems", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "417--424", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (65N20)", MRnumber = "86d:65047", MRreviewer = "O. Widlund", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; conjugate-gradient-like; Krylov subspaces; linear algebra; nonsymmetric linear systems; Petrov--Galerkin method", treatment = "T Theoretical or Mathematical", } @Article{Reichel:1985:PAC, author = "Lothar Reichel", title = "On polynomial approximation in the complex plane with application to conformal mapping", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "425--433", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30E10 (30C30 41A10)", MRnumber = "86c:30080", MRreviewer = "S. Fisher", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "ETH Zentrum, Zurich, Switzerland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic function approximation; bounded simply connected regions; complex plane; conformal mapping; Fejer; function approximation; ill-conditioned monomial basis; points; polynomial approximation; polynomial basis; polynomial basis selection; polynomials; well-conditioned Lagrange", treatment = "T Theoretical or Mathematical", } @Article{Lewanowicz:1985:DDP, author = "S. Lewanowicz", title = "On the differential-difference properties of the extended {Jacobi} polynomials", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "435--441", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A30", MRnumber = "86c:33001", MRreviewer = "R. A. Askey", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. of Comput. Sci., Wroclaw Univ., Poland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; differential equations; differential-difference equation; differential-difference properties; extended Jacobi; Polynomials; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Milgram:1985:GIE, author = "M. S. Milgram", title = "The Generalized Integro-Exponential Function", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "443--458", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A70 (65D15)", MRnumber = "86c:33024", MRreviewer = "S. Conde", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "AECL, Chalk River, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "exponential function; exponential integral; first-order functions; function; function approximation; function evaluation; generalized integro-; incomplete gamma; minimax; rational minimax approximations; techniques", treatment = "T Theoretical or Mathematical", } @Article{Heald:1985:RAF, author = "Mark A. Heald", title = "Rational Approximations for the {Fresnel} Integrals", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "459--461", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "86b:65017", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Swarthmore Coll., PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; Fresnel integrals; function approximation; microcomputer; polynomials; programmable hand calculators; simple rational polynomial; subroutines", treatment = "T Theoretical or Mathematical", } @Article{Fincke:1985:IMC, author = "U. Fincke and M. Pohst", title = "Improved methods for calculating vectors of short length in a lattice, including a complexity analysis", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "463--471", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11H50 (11H55)", MRnumber = "86e:11050", MRreviewer = "A. K. Lenstra", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dusseldorf Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complexity analysis; computational complexity; ellipsoid; lattice; reduction procedure; short-length-vector calculation; vectors", treatment = "T Theoretical or Mathematical", } @Article{Buhler:1985:CBS, author = "Joe P. Buhler and Benedict H. Gross and Don B. Zagier", title = "On the conjecture of {Birch} and {Swinnerton-Dyer} for an elliptic curve of rank $3$", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "473--481", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G40 (14G25)", MRnumber = "86g:11037", MRreviewer = "Kenneth Kramer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290D (Functional analysis); C1160 (Combinatorial mathematics); C4120 (Functional analysis)", corpsource = "Dept. of Math., Reed Coll., Portland, OR, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Birch--Swinnerton-Dyer; conjecturally finite Tate-Shafarevich group; conjecture; elliptic curve; function evaluation; L-series; number theory; Rank 3; real period; regulator; triple zero; Weil-Taniyama conjecture", treatment = "T Theoretical or Mathematical", } @Article{Schoof:1985:ECF, author = "Ren{\'e} Schoof", title = "Elliptic Curves Over Finite Fields and the Computation of Square Roots $ \operatorname {mod} p $", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "483--494", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y16 (11G20 14G15)", MRnumber = "86e:11122", MRreviewer = "Karl Rubin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290D (Functional analysis); C1160 (Combinatorial mathematics); C4120 (Functional analysis); C4240 (Programming and algorithm theory)", corpsource = "Amsterdam Univ., Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; deterministic algorithm; elliptic curve; F/sub q/-points; finite fields; function evaluation; number theory; square roots mod p; Weierstrass equation", treatment = "T Theoretical or Mathematical", } @Article{Ennola:1985:TRC, author = "Veikko Ennola and Reino Turunen", title = "On Totally Real Cubic Fields", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "495--518", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11-04 11R29 11Y40)", MRnumber = "86e:11100", MRreviewer = "H. J. Godwin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Turku Univ., Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Angell's table; class number; class number distribution; coefficients; corresponding vectors; discriminant; fundamental pair; fundamental parallelogram; integral basis; logarithmic space; nonconjugate totally real cubic; noncyclic class group; norm-positive unit; normalised generating polynomial; number fields; number theory; of units; running number; unique; unit lattice", treatment = "T Theoretical or Mathematical", } @Article{Montgomery:1985:MMT, author = "Peter L. Montgomery", title = "Modular Multiplication Without Trial Division", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "519--521", month = apr, year = "1985", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1985-0777282-X", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y16", MRnumber = "86e:11121", bibdate = "Fri Nov 20 15:54:39 MST 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", URL = "http://www.ams.org/journals/mcom/1985-44-170/S0025-5718-1985-0777282-X/", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C5230 (Digital arithmetic methods); C6130 (Data handling techniques)", corpsource = "Syst. Dev. Corp., Santa Monica, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "digital arithmetic; integer; integer arithmetic; modular arithmetic; modular multiplication; multiplication; N-residue; N-residue arithmetic; number theory", referencedin = "Referenced in \cite[Ref. 8]{Handschuh:1998:SCC}.", treatment = "T Theoretical or Mathematical", } @Article{Patterson:1985:SPC, author = "C. D. Patterson and H. C. Williams", title = "Some Periodic Continued Fractions With Long Periods", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "523--532", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y65 (11A55 11J70)", MRnumber = "86h:11113", MRreviewer = "John R. Rabung", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics); C7310 (Mathematics computing)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "extended Riemann; hypothesis; long periods; Manitoba Sieve Unit; number theory; periodic continued fractions; simultaneous linear congruences; UMSU; University of; Voronoi continued fraction", treatment = "T Theoretical or Mathematical", } @Article{Stinson:1985:STS, author = "D. R. Stinson and H. Ferch", title = "$ 2 \, 000 \, 000 $ {Steiner} triple systems of order $ 19 $", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "533--535", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05B07", MRnumber = "86e:05014", MRreviewer = "K. T. Phelps", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "hill-climbing algorithm; invariants; isomorphism; number theory; Steiner triple systems", treatment = "T Theoretical or Mathematical", } @Article{Lagarias:1985:CML, author = "J. C. Lagarias and V. S. Miller and A. M. Odlyzko", title = "Computing $ \pi (x) $: The {Meissel--Lehmer} Method", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "537--560", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y35 (11-04 11N05)", MRnumber = "86h:11111", MRreviewer = "Kenneth A. Jukes", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "AT\&T Bell Labs., Murray Hill, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic running time analysis; computational complexity; counting function; Meissel--Lehmer method; number theory; parallel; parallel processing; partial sieving functions; prime numbers; processors; random access machine; recurrences; storage locations", treatment = "T Theoretical or Mathematical", } @Article{Hudson:1985:AEI, author = "Richard H. Hudson", title = "Averaging effects on irregularities in the distribution of primes in arithmetic progressions", journal = j-MATH-COMPUT, volume = "44", number = "170", pages = "561--571", month = apr, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11N13 (11N05 11Y35)", MRnumber = "86h:11074", MRreviewer = "Kenneth A. Jukes", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math. and Stat., South Carolina Univ., Columbia, SC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic progressions; averaging effects; irregularities; number theory; prime distribution; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Axelsson:1985:SBV, author = "A. O. H. Axelsson and J. G. Verwer", title = "Supplement to Boundary Value Techniques for Initial Value Problems in Ordinary Differential Equations", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "S1--S4", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Boyd:1985:SMM, author = "David W. Boyd", title = "Supplement to The Maximal Modulus of an Algebraic Integer", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "S17--S20", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Plesken:1985:SCI, author = "W. Plesken and M. Pohst", title = "Supplement to Constructing Integral Lattices With Prescribed Minimum. {I}", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "S5--S16", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Pitkaranta:1985:MVS, author = "Juhani Pitk{\"a}ranta and Tuomo Saarinen", title = "A multigrid version of a simple finite element method for the {Stokes} problem", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "1--14", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N20 (65N30 65N50 76-08)", MRnumber = "86h:65168", MRreviewer = "J. H. Bramble", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; convergent; element analysis; external flows; finite; finite element method; linear techniques; multigrid procedure; partial differential equations; piecewise bilinear; piecewise constant pressures; piecewise-; rectangular domain; rectangular grid; stabilisation strategy; Stokes problem; uniform; velocities", treatment = "T Theoretical or Mathematical", } @Article{Goodman:1985:ASS, author = "Jonathan B. Goodman and Randall J. LeVeque", title = "On the accuracy of stable schemes for $2${D} scalar conservation laws", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "15--21", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (76N10)", MRnumber = "86f:65149", MRreviewer = "Bonita Bowman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2D scalar conservation laws; conservation laws; conservative scheme; convergence of numerical methods; difference equations; finite difference schemes; first-order accuracy; partial differential equations; schemes; shocks; stable; weak solutions", treatment = "T Theoretical or Mathematical", } @Article{Hoff:1985:LIF, author = "David Hoff", title = "A linearly implicit finite-difference scheme for the one-dimensional porous medium equation", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "23--33", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M15 (76S05)", MRnumber = "86i:65050", MRreviewer = "Bonita Bowman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4755M (Flow through porous media)", corpsource = "Dept. of Math., Indiana Univ., Bloomington, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate solutions; difference equations; equation; error analysis; error bounds; finite-difference scheme; flow through porous; function approximation; interface curves; linear tridiagonal systems; linearly implicit; media; one-dimensional porous medium", treatment = "T Theoretical or Mathematical", } @Article{Hoff:1985:EBF, author = "David Hoff and Joel Smoller", title = "Error bounds for finite-difference approximations for a class of nonlinear parabolic systems", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "35--49", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M15 (35K99)", MRnumber = "86i:65051", MRreviewer = "Manfred Dobrowolski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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., Indiana Univ., Bloomington, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximations; Cauchy data; class BV; difference equations; differential equations; error analysis; error bounds; error sup norm; finite-difference; function; nonlinear differential equations; nonlinear parabolic systems; partial", treatment = "T Theoretical or Mathematical", } @Article{Descloux:1985:RCA, author = "J. Descloux and J. Rappaz and R. Scholz", title = "On the rate of convergence for the approximation of nonlinear problems", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "51--64", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J15 (65N30 76D05)", MRnumber = "86h:65084", MRreviewer = "Igor Bock", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. de Math., Ecole Polytech. Federale de Lausanne, Switzerland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; convergence of numerical methods; element analysis; error analysis; error bounds; finite; finite element methods; Navier-; nonlinear; nonlinear differential equations; problems; Stokes equations", treatment = "T Theoretical or Mathematical", } @Article{Bales:1985:CMS, author = "Laurence A. Bales and Vassilios A. Dougalis and Steven M. Serbin", title = "Cosine methods for second-order hyperbolic equations with time-dependent coefficients", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "65--89", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (65M60)", MRnumber = "86j:65112", MRreviewer = "Hong Yuan Fu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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., Tennessee Univ., Knoxville, TN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cosine time-stepping schemes; discretisations; equations; error analysis; estimates; Galerkin-type; high-order starting procedures; iterative methods; L/sup 2/-optimal error; linear differential; partial differential equations; preconditioned iterative techniques; second-order hyperbolic; single-step; time-dependent coefficients", treatment = "T Theoretical or Mathematical", } @Article{Saranen:1985:ACC, author = "J. Saranen and W. L. Wendland", title = "On the asymptotic convergence of collocation methods with spline functions of even degree", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "91--108", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N99 (35S99)", MRnumber = "86m:65159", MRreviewer = "C. Phillips", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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. of Math., Tech. Univ. of Darmstadt, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; asymptotic convergence; asymptotic error; asymptotic error estimates; Babu{\v{s}}ka's; boundary element methods; boundary-elements methods; Cauchy kernels; closed curves; collocation methods; constant coefficient principal parts; convergence of numerical methods; convolutional; elliptic integrodifferential; elliptic pseudodifferential; equations; equivalence; error; error analysis; estimates; even-degree splines; explicit Fourier analysis; Fourier analysis; Fredholm integral equations; integral equations; integro-differential equations; linear equations; partial differential; polynomial splines; principal part; singular integral equations; Sobolev spaces; splines (mathematics); stability condition; strong ellipticity; variational methods; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Eriksson:1985:HOL, author = "Kenneth Eriksson", title = "High-order local rate of convergence by mesh-refinement in the finite element method", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "109--142", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "86h:65175", MRreviewer = "A. O. Garder", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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., Goteborg Univ., Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate solution; approximation; boundary value problems; boundary-value problems; bounded domain; continuous piecewise polynomials; convergence of numerical methods; element method; error analysis; finite; finite element analysis; function; Galerkin method; high-order accuracy; high-order error estimate; high-order local convergence rate; high-order negative-norm estimates; local approximation; mesh-refinement; Neumann problem; partial differential equations; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Sanz-Serna:1985:GET, author = "J. M. Sanz-Serna and C. Palencia", title = "A general equivalence theorem in the theory of discretization methods", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "143--152", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J10 (65M10 65N10)", MRnumber = "86h:65078", MRreviewer = "A. I. {\c{S}}chiop", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. Ecuaciones Funcionales, Valladolid Univ., Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; Banach-Steinhaus theorem; boundary value; boundary-value problems; convergence of numerical methods; difference equations; discretization methods; error analysis; finite differences; finite element; finite elements; general equivalence theorem; generalized; initial value problems; Lax-; problems; Richtmyer theorem; Stetter's theory", treatment = "T Theoretical or Mathematical", } @Article{Axelsson:1985:BVT, author = "A. O. H. Axelsson and J. G. Verwer", title = "Boundary value techniques for initial value problems in ordinary differential equations", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "153--171, S1--S4", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (65L05)", MRnumber = "87b:65101", MRreviewer = "M. M. Chawla", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Catholic Univ., Nijmegan Univ., Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value techniques; boundary-value problems; difference equations; difference method; differential; differential equations; equations; finite-; Galerkin methods; initial value problems; numerical solution; ordinary", treatment = "T Theoretical or Mathematical", } @Article{Kiwiel:1985:ANC, author = "Krzysztof C. Kiwiel", title = "An algorithm for nonsmooth convex minimization with errors", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "173--180", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "90C25 (65K05)", MRnumber = "87d:90131", MRreviewer = "C. A. Botsaris", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0260 (Optimisation techniques); B0290B (Error analysis in numerical methods); B0290D (Functional analysis); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Syst. Res. Inst., Polish Acad. of Sci., Warsaw, Poland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; convex functions; error analysis; errors; evaluation; function; function evaluation; iteration; iterative methods; minimisation; nonsmooth convex minimization; programming; programming problem; quadratic", treatment = "T Theoretical or Mathematical", } @Article{Neumaier:1985:DDS, author = "A. Neumaier and A. Sch{\"a}fer", title = "Divided differences, shift transformations and {Larkin}'s root finding method", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "181--196", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H05", MRnumber = "87a:65081", MRreviewer = "Michel Cosnard", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Angewandte Math., Freiburg Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; divided differences; finding method; functional analysis; Horner-like transformations; iterative methods; iterative root finding methods; Larkin's root; monotonic convergence; Newtonian representation; nonshift versions; one-dimensional complex-valued function; polynomials; real polynomials; real roots; shift; transformation", treatment = "T Theoretical or Mathematical", } @Article{Meinardus:1985:RLM, author = "G{\"u}nter Meinardus", title = "Remark on a lemma: {``On a method of asymptotic evaluation of multiple integrals''} {[Math. Comp. {\bf 37} (1981), no. 156, 509--521, MR 83b:41040] by R. Wong and J. P. McClure}", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "197--198", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A60 (65D30)", MRnumber = "87g:41074", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Lehrstuhl fur Math., Mannheim Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic evaluation; integration; multiple integrals", treatment = "T Theoretical or Mathematical", } @Article{Troesch:1985:SCI, author = "B. A. Troesch", title = "On {Shapiro}'s Cyclic Inequality for $ {N} = 13 $", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "199--207", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "26D15 (05A20)", MRnumber = "87h:26031", MRreviewer = "J. C. Lagarias", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Aerosp. Eng., Univ. of Southern California, Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cyclic sum; eigenvalues; eigenvalues and eigenfunctions; Shapiro's cyclic inequality; vectors", treatment = "T Theoretical or Mathematical", } @Article{Plesken:1985:CIL, author = "W. Plesken and M. Pohst", title = "Constructing integral lattices with prescribed minimum. {I}", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "209--221, S5--S16", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11H31 (11H50)", MRnumber = "87e:11077", MRreviewer = "C. G. Lekkerkerker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Sch. of Math. Sci., Queen Mary Coll., London, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Euclidean space; free Abelian groups; group theory; integral laminated lattices; lattice vectors; layer stacking; prescribed minimum; products; rational integers; scalar", treatment = "T Theoretical or Mathematical", } @Article{Dueck:1985:CCN, author = "G. Dueck and H. C. Williams", title = "Computation of the class number and class group of a complex cubic field", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "223--231", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11R29 11Y40)", MRnumber = "86m:11078", MRreviewer = "Charles J. Parry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class; class number; complex cubic field; computational complexity; field; group; number theory; pure cubic; Riemann hypotheses", treatment = "T Theoretical or Mathematical", } @Article{Vaughan:1985:CUC, author = "Theresa P. Vaughan", title = "The construction of unramified cyclic quartic extensions of $ {Q}(\sqrt m) $", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "233--242", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R11 (11R29)", MRnumber = "86g:11060", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., North Carolina Univ., Greensboro, NC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Galois group; number theory; quadratic subfields; unramified cyclic quartic extensions", treatment = "T Theoretical or Mathematical", } @Article{Boyd:1985:MMA, author = "David W. Boyd", title = "The Maximal Modulus of an Algebraic Integer", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "243--249, S17--S20", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R06", MRnumber = "87c:11097", MRreviewer = "Christopher Smyth", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., British Columbia Univ., Vancouver, BC, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "absolute value; largest conjugate; maximal modulus; minimum; number theory; Perron numbers; reciprocal algebraic integer; Schinzel's and Zassenhaus' conjecture", treatment = "T Theoretical or Mathematical", } @Article{vonzurGathen:1985:FMP, author = "J. {von zur Gathen} and E. Kaltofen", title = "Factorization of multivariate polynomials over finite fields", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "251--261", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12E05 (11Y16 68Q40)", MRnumber = "87a:12005", MRreviewer = "A. K. Lenstra", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Toronto Univ., Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bivariate polynomial; computational complexity; densely; deterministic algorithm; encoded inputs; factorisation; finite fields; irreducible factors; multivariate polynomials; number theory; polynomial running time; probabilistic algorithm", treatment = "T Theoretical or Mathematical", } @Article{Pritchard:1985:LAP, author = "Paul A. Pritchard", title = "Long arithmetic progressions of primes: some old, some new", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "263--267", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B25 (11Y55)", MRnumber = "86h:11013", MRreviewer = "John R. Rabung", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics computing)", corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "long arithmetic progressions; mathematical series; number; number theory; primes; series (mathematics); theory", } @Article{Rabinowitz:1985:CGK, author = "Philip Rabinowitz", title = "Correction: {``Gauss--Kronrod integration rules for Cauchy principal value integrals''} {[Math. Comp. {\bf 41} (1983), no. 1, 63--78, MR 84i:65029]}", journal = j-MATH-COMPUT, volume = "45", number = "171", pages = "277--277", month = jul, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "87f:65028", bibdate = "Wed Jan 15 09:19:07 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{vanderHouwen:1985:SLM, author = "P. J. {van der Houwen} and H. J. J. {te Riele}", title = "Supplement to: {``Linear multistep methods for Volterra integral and integro-differential equations''}", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "S21--S28", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L10)", MRnumber = "87e:65086b", MRreviewer = "H. Brunner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Trefethen:1985:SFD, author = "Lloyd N. Trefethen", title = "Stability of finite-difference models containing two boundaries or interfaces", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "279--300", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "87h:65158", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Comput. Applications in Sci. and Eng., NASA Langley Res. Center, Hampton, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary; convergence of numerical methods; difference equations; dissipativity; finite-difference models; GKS; GKS-stability; hyperbolic initial-boundary value; hyperbolic partial differential equations; infinite numerical reflection coefficient; initial value problems; instabilities; instability; internal interface; P-stability; parasitic waves; partial differential equations; problems; propagation; reflection; trapped; wave packets", treatment = "T Theoretical or Mathematical", } @Article{Berger:1985:SIM, author = "Marsha J. Berger", title = "Stability of Interfaces with Mesh Refinement", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "301--318", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (65M50)", MRnumber = "87d:65097", MRreviewer = "J. T. Oden", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Comput. Applications in Sci. and Eng., NASA Langley Res. Center, Hampton, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer program; convergence of numerical methods; difference equations; differential equations; finite element analysis; finite-difference approximations; hyperbolic partial differential equations; initial value problems; initial-boundary value problem; interface equations; interpolation interface conditions; Lax--Wendroff; Leapfrog; maximum principle; mesh refinement; partial; root condition; stability; unit circle", treatment = "T Theoretical or Mathematical", } @Article{Suli:1985:FDA, author = "Endre S{\"u}li and Bo{\v{s}}ko Jovanovi{\'c} and Lav Ivanovi{\'c}", title = "Finite difference approximations of generalized solutions", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "319--327", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N05 (65N15)", MRnumber = "86j:65138", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. of Math., Belgrade Univ., Yugoslavia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; difference equations; Dirichlet problem; discrete Sobolev-like norms; equation; error estimates; finite difference schemes; interpolation; nonnegative order Sobolev space; partial differential equations; Poisson", treatment = "T Theoretical or Mathematical", } @Article{Dougalis:1985:SHO, author = "Vassilios A. Dougalis and Ohannes A. Karakashian", title = "On some high-order accurate fully discrete {Galerkin} methods for the {Korteweg--de Vries} equation", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "329--345", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60", MRnumber = "86m:65118", MRreviewer = "I. Norman Katz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Tennessee Univ., Knoxville, TN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; diagonally implicit; differential equations; discrete Galerkin methods; finite element analysis; high order approximations; initial value problems; initial-value problem; iteration; Korteweg--de Vries equation; L/sup 2/-error estimates; methods; Newton; nonlinear systems of equations; numerical solution; optimal rate of convergence; order of accuracy; periodic; Runge--Kutta; Runge--Kutta methods; smooth periodic; space discretization; splines; splines (mathematics); time stepping; uniform mesh", treatment = "T Theoretical or Mathematical", } @Article{Kheshgi:1985:AFE, author = "Haroon Kheshgi and Mitchell Luskin", title = "Analysis of the finite element variable penalty method for {Stokes} equations", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "347--363", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76D07)", MRnumber = "86j:65160", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0340G (Fluid dynamics: general mathematical aspects); A4710 (General fluid dynamics theory, simulation and other computational methods); 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); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Chem. Eng. and Mater. Sci., Minnesota Univ., Minneapolis, MN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; differential equations; error analysis; finite element; finite element variable penalty; fluid dynamics; method; Stokes equations; viscous incompressible flow", treatment = "T Theoretical or Mathematical", } @Article{Jeltsch:1985:ABS, author = "Rolf Jeltsch and Klaus-G{\"u}nther Strack", title = "Accuracy bounds for semidiscretizations of hyperbolic problems", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "365--376", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M20", MRnumber = "86j:65125", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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. fur Geometrie und Praktische Math., Aachen, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; difference methods; error analysis; error constants; first-order hyperbolic equations; interpolatory methods; semidiscretizations of hyperbolic problems; stable finite-", treatment = "T Theoretical or Mathematical", } @Article{Spijker:1985:SRS, author = "M. N. Spijker", title = "Stepsize restrictions for stability of one-step methods in the numerical solution of initial value problems", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "377--392", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L20 (65M10)", MRnumber = "86j:65106", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Inst. of Appl. Math. and Comput. Sci., Leiden Univ., Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convection; convergence of numerical methods; differential equations; diffusion; diffusion-convection; error growth; initial value problems; iterative methods; numerical solution; partial; problem; stability of one-step methods; stepsize restrictions", treatment = "T Theoretical or Mathematical", } @Article{Bigge:1985:DBD, author = "J. Bigge and E. Bohl", title = "Deformations of the bifurcation diagram due to discretization", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "393--403", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (58F14)", MRnumber = "87f:65087", MRreviewer = "G. B. Ermentrout", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1340J (Distributed parameter control systems); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Fakultat fur Math., Konstanz Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bifurcation; boundary value problems; boundary-value problems; chemical reaction processes; continuous problem; control parameters; diagram; difference equations; discrete system; distributed; parameter systems; perturbation theory; singular perturbation", treatment = "T Theoretical or Mathematical", } @Article{Engl:1985:IVM, author = "Heinz W. Engl and Andreas Neubauer", title = "An improved version of {Marti}'s method for solving ill-posed linear integral equations", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "405--416", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L10)", MRnumber = "86j:65177", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Inst. fur Math., Johannes-Kepler-Univ., Linz, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; Hilbert spaces; ill-; integral equations; Marti method; optimal convergence rates; posed linear integral equations; regularization methods", treatment = "T Theoretical or Mathematical", } @Article{Brunner:1985:NSW, author = "Hermann Brunner", title = "The numerical solution of weakly singular {Volterra} integral equations by collocation on graded meshes", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "417--437", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45D05)", MRnumber = "87b:65223", MRreviewer = "P. Uba", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Inst. de Math., Fribourg Univ., Switzerland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "collocation; convergence of numerical methods; convergence rates; formulas; fully discretized collocation equation; graded meshes; integral equations; nonlinear integral equations; numerical solution; polynomial spline; quadrature; singular Volterra integral equations; splines (mathematics); weakly", treatment = "T Theoretical or Mathematical", } @Article{vanderHouwen:1985:LMM, author = "P. J. {van der Houwen} and H. J. J. {te Riele}", title = "Linear multistep methods for {Volterra} integral and integro-differential equations", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "439--461", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L10)", MRnumber = "87e:65086a", MRreviewer = "H. Brunner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Numerical Math., Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "consistency; convergence; convergence of numerical methods; direct quadrature methods; equations; integral equations; integro-differential; linear multistep methods; numerical experiments; numerical methods; VLM methods; Volterra; Volterra integro-differential equations", treatment = "T Theoretical or Mathematical", } @Article{Lubich:1985:FLM, author = "Ch. Lubich", title = "Fractional linear multistep methods for {Abel--Volterra} integral equations of the second kind", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "463--469", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L10)", MRnumber = "86j:65181", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Inst. fur Math. und Geometrie, Innsbruck Univ., Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Abel integral; Abel--Volterra integral equations; convergence of numerical methods; convergent; convolution quadratures; equation; fractional backward differentiation method; fractional linear multistep method; integral equations; stability", treatment = "T Theoretical or Mathematical", } @Article{Fletcher:1985:SAU, author = "R. Fletcher and S. P. J. Matthews", title = "A stable algorithm for updating triangular factors under a rank one change", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "471--485", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F05", MRnumber = "87a:65057", MRreviewer = "Lars Eld{\'e}n", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); B0290K (Nonlinear and functional equations); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math. Sci., Dundee Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; equations; growth bound; L U factors; matrices; matrix algebra; nonlinear; pivot search; pivot strategy; rank deficient; rank one change; stability; triangular factors; well-conditioned matrices", treatment = "T Theoretical or Mathematical", } @Article{Porsching:1985:EER, author = "T. A. Porsching", title = "Estimation of the error in the reduced basis method solution of nonlinear equations", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "487--496", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10 (65G99)", MRnumber = "86m:65053", MRreviewer = "Eugene Allgower", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 = "Dept. of Math. and Stat., Pittsburgh Univ., PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation error; continuation methods; discrete least-squares approximation; error analysis; error estimates; Lagrange approximation; manifold; nonlinear equations; problem; projection technique; reduced basis error; reduced basis method; solution curve; Taylor approximation", treatment = "T Theoretical or Mathematical", } @Article{deBoor:1985:GPT, author = "C. {de Boor} and R. DeVore", title = "A geometric proof of total positivity for spline interpolation", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "497--504", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15 (65D07)", MRnumber = "86m:41008", MRreviewer = "Allan Pinkus", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/imager/imager.85.bib; Graphics/siggraph/85.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Res. Center, Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "B-; geometric proofs; interpolation; spline collocation matrix; spline interpolation; splines (mathematics); total positivity; variation diminishing property", treatment = "T Theoretical or Mathematical", } @Article{Traub:1985:OIF, author = "J. F. Traub and D. Lee", title = "Optimal integration for functions of bounded variation", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "505--512", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "68Q25 (65D32)", MRnumber = "86m:68066", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Comput. Sci. and Math., Columbia Univ., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bounded variation; function approximation; integration; optimal linear algorithm", treatment = "T Theoretical or Mathematical", } @Article{Akrivis:1985:ENC, author = "G. Akrivis", title = "The error norm of certain {Gaussian} quadrature formulae", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "513--519", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "87a:65051", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., Munchen Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "error analysis; error functional; error norm; function approximation; Gaussian quadrature formulae; integration; weight functions; wide class", treatment = "T Theoretical or Mathematical", } @Article{Lewanowicz:1985:RRH, author = "Stanis{\l}aw Lewanowicz", title = "Recurrence relations for hypergeometric functions of unit argument", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "521--535", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A35 (65Q05)", MRnumber = "86m:33004", MRreviewer = "S. Conde", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Inst. of Comput. Sci., Wroclaw Univ., Poland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); convergence of numerical methods; hypergeometric function; numerical analysis; recurrence relation; series; unit argument", treatment = "T Theoretical or Mathematical", } @Article{Frenzen:1985:NAE, author = "C. L. Frenzen and R. Wong", title = "A note on asymptotic evaluation of some {Hankel} transforms", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "537--548", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A60 (44A15 65R10)", MRnumber = "87c:41024", MRreviewer = "F. W. J. Olver", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0230 (Integral transforms); B0290Z (Other numerical methods)C1130 (Integral transforms); C4190 (Other numerical methods)", corpsource = "Dept. of Math., British Columbia Univ., Vancouver, BC, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansion; Bessel function; Bessel functions; growth condition; Hankel transforms; meromorphic function; transforms", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1985:FEL, author = "Henry E. Fettis", title = "Further Extensions of a {Legendre} Function Integral", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "549--552", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A30", MRnumber = "86k:33003", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function evaluation; hypergeometric function; Legendre function; Legendre function integral", treatment = "T Theoretical or Mathematical", } @Article{McCabe:1985:ASG, author = "J. H. McCabe and G. M. Phillips", title = "{Aitken} sequences and generalized {Fibonacci} numbers", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "553--558", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A21 (11B39 65B05)", MRnumber = "87b:41015", MRreviewer = "Claude Brezinski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Inst., St. Andrews Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Aitken acceleration; Aitken sequences; continued fraction; Fibonacci; generalized Fibonacci numbers; iterative methods; Newton method; numerical methods; Pad{\'e} approximation; secant method; sequence", treatment = "T Theoretical or Mathematical", } @Article{Monahan:1985:ARN, author = "John F. Monahan", title = "Accuracy in Random Number Generation", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "559--568", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (68U20)", MRnumber = "86i:65009", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 Stat., North Carolina State Univ., Raleigh, NC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accuracy; approximation; approximations; continuous distribution; continuous random variables; digital computer; discrete; discretization error; error analysis; generation; heuristic analysis; overflow problems; random number; random number generation; simulation bias", treatment = "T Theoretical or Mathematical", } @Article{Vaughan:1985:CDA, author = "Theresa P. Vaughan", title = "On computing the discriminant of an algebraic number field", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "569--584", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11Y40)", MRnumber = "86j:11114", MRreviewer = "T. Mets{\"a}nkyl{\"a}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290H (Linear algebra); B0290Z (Other numerical methods); C1160 (Combinatorial mathematics); C4140 (Linear algebra); C4190 (Other numerical methods)", corpsource = "Dept. of Math., North Carolina Univ., Greensboro, NC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number field; discriminant; group theory; matrix algebra; monic irreducible; number theory; polynomial; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Ennola:1985:CCF, author = "Veikko Ennola and Reino Turunen", title = "On Cyclic Cubic Fields", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "585--589", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R16 11Y40)", MRnumber = "86m:11085", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290Z (Other numerical methods); C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", corpsource = "Dept. of Math., Turku Univ., Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class numbers; cyclic cubic fields; fundamental units; group theory; number theory; Sylow p-subgroup; totally positive", treatment = "T Theoretical or Mathematical", } @Article{Ennola:1985:RCS, author = "V. Ennola and S. M{\"a}ki and R. Turunen", title = "On Real Cyclic Sextic Fields", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "591--611", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R21 11Y40)", MRnumber = "86m:11084", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290Z (Other numerical methods); C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", corpsource = "Dept. of Math., Turku Univ., Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class; Galois module structure; group; group theory; Leopoldt's theory; number theory; numbers; prime conductor; real cyclic sextic fields; relative norms; signature rank; subfields; unit", treatment = "T Theoretical or Mathematical", } @Article{Brown:1985:SWA, author = "Ezra Brown", title = "Sets in Which $ x y + k $ is Always a Square", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "613--620", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D57", MRnumber = "86k:11019", MRreviewer = "H.-J. Kanold", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290Z (Other numerical methods); C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", corpsource = "Dept. of Math., Virginia Polytech. Inst. and State Univ., Blacksburg, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "distinct positive integers; number theory; perfect square; set theory", treatment = "T Theoretical or Mathematical", } @Article{Deanin:1985:CCM, author = "Alice A. Deanin", title = "A counterexample to a conjecture of {Mahler} on best $p$-adic {Diophantine} approximation constants", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "621--632", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11J61", MRnumber = "87e:11081", MRreviewer = "P. L. Cijsouw", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Sci., Villanova Univ., PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation constants; best P-adic Diophantine; computational technique; computer; continued fraction algorithm; counterexample; function approximation; search", treatment = "T Theoretical or Mathematical", } @Article{Jaeschke:1985:CSS, author = "G. Jaeschke", title = "Corrigendum: {``On the smallest $k$ such that all $ k \cdot 2^n + 1$ are composite''} {[Math. Comp. {\bf 40} (1983), no. 161, 381--384, MR 84k:10006]}", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "637--637", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A41 (11-04)", MRnumber = "87b:11009", bibdate = "Wed Jan 15 09:19:11 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{McIntyre:1986:SBI, author = "E. A. {McIntyre, Jr.}", title = "Supplement to Boundary Integral Solutions of the Heat Equations", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "S1--S14", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Johnson:1986:ADG, author = "C. Johnson and J. Pitk{\"a}ranta", title = "An analysis of the discontinuous {Galerkin} method for a scalar hyperbolic equation", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "1--26", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60", MRnumber = "88b:65109", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arbitrary locally regular triangulation; arbitrary polynomial degree; convergence of numerical methods; convex polygonal plane domain; difference equations; discontinuous Galerkin method; equation; equations; error analysis; finite difference methods; finite element analysis; L/sub 2/ estimates; L/sub p/ error estimates; L/sub p/ stability estimates; linear differential; partial differential equations; piecewise uniform; scalar linear hyperbolic; triangulation", treatment = "T Theoretical or Mathematical", } @Article{Zlamal:1986:FES, author = "Milo{\v{s}} Zl{\'a}mal", title = "Finite element solution of the fundamental equations of semiconductor devices. {I}", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "27--43", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "87d:65139", MRreviewer = "Georges A. Lebaud", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B2560B (Semiconductor device modelling and equivalent circuits)", corpsource = "Tech. Univ., Brno, Czechoslovakia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; carrier; carrier density; current densities; densities; differential equations; electric; electric field strength; electric potential; existence; finite element; finite element methods; highly nonlinear continuity equations; isoparametric elements; linear polynomials; mobile carrier transport; nonlinear differential equations; nonstationary equations; partial; Poisson equation; potential; semiconductor device models; semiconductor device theory; simplicial elements; unicity", treatment = "T Theoretical or Mathematical", } @Article{Lorenz:1986:CUS, author = "Jens Lorenz", title = "Convergence of Upwind Schemes for a Stationary Shock", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "45--57", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (76-08 76L05)", MRnumber = "87a:65152", MRreviewer = "Siegfried Filippi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4740N (Shock-wave interactions); A4760 (Flows in ducts, channels, and conduits)", corpsource = "Dept. of Appl. Math., California Inst. of Technol., Pasadena, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; channel flow; convergence; convergence of; difference equations; difference schemes; differential equations; discontinuous; duct; EO-scheme; gas flow; multiple solutions; nonlinear; nonlinear first-order boundary value problem; numerical methods; numerical-layer sharpness; pipe flow; shock waves; solutions; stability; stationary shock; upwind schemes", treatment = "T Theoretical or Mathematical", } @Article{Lucier:1986:MMN, author = "Bradley J. Lucier", title = "A moving mesh numerical method for hyperbolic conservation laws", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "59--69", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M25 (35L05)", MRnumber = "87m:65141", MRreviewer = "Randall J. LeVeque", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/Multi.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "characteristics; conservation laws; convergence of numerical methods; convergence rates; differential equations; hyperbolic conservation laws; method of; moving mesh numerical method; one space dimension; partial; piecewise constant approximations; piecewise linear function; piecewise-linear techniques; possibly discontinuous solution; scalar conservation law", treatment = "T Theoretical or Mathematical", } @Article{McIntyre:1986:BIS, author = "E. A. {McIntyre, Jr.}", title = "Boundary Integral Solutions of the Heat Equation", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "71--79, S1--S14", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N99 (45L10 65M99 65R20)", MRnumber = "87h:65214", MRreviewer = "T. R. Hopkins", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory)", corpsource = "AT\&T Inf. Syst., Lincroft, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary integral method; boundary-elements methods; heat transfer; integral equations; numerical solutions; time-dependent heat equation; two space variables", treatment = "T Theoretical or Mathematical", } @Article{ORiordan:1986:ASR, author = "Eugene O'Riordan and Martin Stynes", title = "An analysis of a superconvergence result for a singularly perturbed boundary value problem", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "81--92", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10", MRnumber = "87b:65107", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Sci., Dundalk Regional Tech. Coll., Ireland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; boundary-value problems; convergence; convergence of numerical methods; difference equations; discretised Green's function; El-Mistikawy and Werle finite-difference scheme; error analysis; exponential finite elements; finite element; Green's function methods; nodal errors; nonselfadjoint singularly perturbed boundary value problem; result; superconvergence; uniform second-order accuracy", treatment = "T Theoretical or Mathematical", } @Article{Weinmuller:1986:NSS, author = "Ewa Weinm{\"u}ller", title = "On the numerical solution of singular boundary value problems of second order by a difference method", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "93--117", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (34A50)", MRnumber = "87d:65090", MRreviewer = "David R. Hill", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Tech. Univ., Wien, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; chemistry; difference equations; difference method; differential equations; mechanics; nonlinear; numerical methods; numerical solution; of the first kind; second-order systems; singular boundary value problems; singularity; three-point discretisation", treatment = "T Theoretical or Mathematical", } @Article{Zennaro:1986:NCE, author = "M. Zennaro", title = "Natural continuous extensions of {Runge--Kutta} methods", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "119--133", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "86m:65083", MRreviewer = "G. Hall", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Trieste Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continuous extensions; continuous solutions; differential equations; discrete approximate solution; initial value problems; natural; ODE; one-step collocation methods; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Shampine:1986:SPR, author = "Lawrence F. Shampine", title = "Some Practical {Runge--Kutta} Formulas", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "135--150", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "87g:65087", MRreviewer = "Ian Gladwell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "explicit Runge--Kutta formulas of order 4; interpolation; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Vrscay:1986:JSM, author = "Edward R. Vrscay", title = "{Julia} sets and {Mandelbrot-like} sets associated with higher order {Schr{\"o}der} rational iteration functions: a computer assisted study", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "151--169", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "58F08 (30D05 65E05)", MRnumber = "87k:58137", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Georgia Inst. of Technol., Atlanta, GA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex; cubic polynomials; family; free critical points; functional analysis; higher order Schroder; iterative methods; Julia sets; Mandelbrot-like sets; Newton's method; one-parameter; orbits; polynomials; rational iteration functions; Riemann sphere", treatment = "T Theoretical or Mathematical", } @Article{Allgower:1986:CVP, author = "Eugene L. Allgower and Phillip H. Schmidt", title = "Computing Volumes of Polyhedra", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "171--174", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "51M25 (26B15 65D32)", MRnumber = "87d:51036", MRreviewer = "J. B{\"o}hm", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Colorado State Univ., Fort Collins, CO, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary triangulation; closed bounded; geometry; orientable boundary; polyhedron; simplices; volume computation", treatment = "T Theoretical or Mathematical", } @Article{Toint:1986:NSL, author = "Ph. L. Toint", title = "Numerical solution of large sets of algebraic nonlinear equations", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "175--189", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10", MRnumber = "87d:65064", MRreviewer = "T. Feagin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Fac. Univ. de Namur, Belgium", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic nonlinear equations; discrete Newton method; econometry; finite elements; Newton methods; nonlinear equations; partially; partitioned updating quasi-; separable structure", treatment = "T Theoretical or Mathematical", } @Article{Bini:1986:CCS, author = "D. Bini and M. Capovani", title = "A class of cubic splines obtained through minimum conditions", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "191--202", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15 (65D07)", MRnumber = "87b:41009", MRreviewer = "Han Lin Chen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0260 (Optimisation techniques); B0290D (Functional analysis)B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Pisa Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; cubic splines; functional; functional analysis; minimisation; minimum conditions; programming problem; quadratic; quadratic programming; splines (mathematics); third derivative", treatment = "T Theoretical or Mathematical", } @Article{Costantini:1986:MCS, author = "Paolo Costantini", title = "On Monotone and Convex Spline Interpolation", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "203--214", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (41A05 41A15)", MRnumber = "87b:65009", MRreviewer = "Dietrich Braess", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Firenze Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); arbitrary sets; Bernstein polynomials; continuous piecewise linear; convex spline interpolation; functions; interpolation; monotone spline interpolation; piecewise-linear techniques; shape-preserving splines; splines", treatment = "T Theoretical or Mathematical", } @Article{Lavoie:1986:SEG, author = "J. L. Lavoie", title = "Some evaluations for the generalized hypergeometric series", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "215--218", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A35 (65D20)", MRnumber = "87c:33007", MRreviewer = "S. D. Bajpai", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0200 (Engineering mathematics and mathematical techniques); B0290Z (Other numerical methods); C1100 (Mathematical techniques); C4190 (Other numerical methods)", corpsource = "Laval Univ., Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "evaluation formulae; generalized hypergeometric series; series (mathematics); summation formulae; unit argument; Whipple's theorem", treatment = "T Theoretical or Mathematical", } @Article{Ling:1986:EHT, author = "Chih Bing Ling", title = "Evaluation of {Howland}-Type Integrals Involving $ \tanh $ and $ \coth $ Functions", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "219--223", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (65D20)", MRnumber = "87b:65002", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Virginia Polytech. Inst. and State Univ., Blacksburg, VA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coth; geometry; Howland-type integrals; tanh; trigonometry", treatment = "T Theoretical or Mathematical", } @Article{Rabinowitz:1986:DGK, author = "Philip Rabinowitz", title = "On the definiteness of {Gauss--Kronrod} integration rules", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "225--227", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "87c:65025", MRreviewer = "Helmut Brass", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "definiteness; Gauss--Kronrod integration rules; Gauss-Gregenbauer; integration; integration rule; Kronrod extension; nondefiniteness; weight function", treatment = "T Theoretical or Mathematical", } @Article{Lubinsky:1986:CPI, author = "D. S. Lubinsky and Avram Sidi", title = "Convergence of product integration rules for functions with interior and endpoint singularities over bounded and unbounded intervals", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "229--245", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A55 (65D30)", MRnumber = "87j:41072", MRreviewer = "Gradimir V. Milovanovi{\'c}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Comput. Sci., Technion-Israel Inst. of Sci., Haifa, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bounded intervals; convergence; convergence of numerical methods; endpoint singularities; Gaussian quadrature points; integration; integration rules; interior singularities; interpolation; intervals; Lagrangian interpolation; product; singular integrands; unbounded", treatment = "T Theoretical or Mathematical", } @Article{Borwein:1986:MQC, author = "J. M. Borwein and P. B. Borwein", title = "More Quadratically Converging Algorithms for $ \pi $", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "247--253", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20", MRnumber = "87e:65014", MRreviewer = "M. M. Chawla", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290Z (Other numerical methods); C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Dalhousie Univ., Halifax, NS, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic--geometric mean iteration; complete elliptic; convergence of numerical methods; Gauss--Legendre iteration; geometry; integrals; iterative; Legendre formula; methods; pi evaluation; quadratically converging algorithms", treatment = "T Theoretical or Mathematical", } @Article{Newman:1986:CWM, author = "D. J. Newman", title = "Computing When Multiplications Cost Nothing", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "255--257", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05A99 (11Y16)", MRnumber = "87d:05028", MRreviewer = "D. T. Lee", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "addition costs; computational complexity; free; multiplications", treatment = "T Theoretical or Mathematical", } @Article{Erdos:1986:NFW, author = "Paul Erd{\H{o}}s and Carl Pomerance", title = "On the number of false witnesses for a composite number", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "259--279", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11N56)", MRnumber = "87i:11183", MRreviewer = "Lawrence Somer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Hungarian Acad. of Sci., Budapest, Hungary", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "composite number; Euler test; false witnesses; number theory; primality testing; prime numbers; strong pseudoprime tests", treatment = "T Theoretical or Mathematical", } @Article{Borho:1986:BAN, author = "W. Borho and H. Hoffmann", title = "Breeding Amicable Numbers in Abundance", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "281--293", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25 (11Y50)", MRnumber = "87c:11003", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Bergische Univ., Gesamthochschule Wuppertal, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "amicable number pairs; amicable numbers; number theory", treatment = "T Theoretical or Mathematical", } @Article{Cohn:1986:UCS, author = "Harvey Cohn and Jesse Deutsch", title = "Use of a Computer Scan to Prove $ \mathbf {Q}(\sqrt {2 + \sqrt 2}) $ and $ \mathbf {Q}(\sqrt {3 + \sqrt 2}) $ are {Euclidean}", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "295--299", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11H50 11Y40)", MRnumber = "87b:11105", MRreviewer = "H. J. Godwin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., City Coll., City Univ. of New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer scan; norm-Euclidean number fields; number theory; unit 4-cube", treatment = "T Theoretical or Mathematical", } @Article{Darafsheh:1986:CIC, author = "M. R. Darafsheh", title = "Computing the Irreducible Characters of the Group $ \mathrm {GL}_6 (2) $", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "301--319", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20C15 (20C30)", MRnumber = "86k:20005", MRreviewer = "Roderick Gow", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Nat. Iranian Oil Co., Ahwaz, Iran", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "character table; field with two elements; GL/sub 6/(2); group theory; irreducible characters; matrices; matrix algebra; number theory; six by six nonsingular", treatment = "T Theoretical or Mathematical", } @Article{Fredricksen:1986:GST, author = "Harold M. Fredricksen and Alfred W. Hales and Melvin M. Sweet", title = "A generalization of {Swan}'s theorem", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "321--331", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T06", MRnumber = "87a:11123", MRreviewer = "Torleiv Kl{\o}ve", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Naval Postgraduate Sch., Monterey, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "irreducible factors; number theory; parity; periodic function; polynomials; Swan's trinomial theorem; two-element field", treatment = "T Theoretical or Mathematical", } @Article{Tennenhouse:1986:NCN, author = "M. Tennenhouse and H. C. Williams", title = "A note on class-number one in certain real quadratic and pure cubic fields", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "333--336", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11R11 11R16)", MRnumber = "87b:11127", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class-number one; number fields; number theory; pure cubic fields; quadratic field; real", treatment = "T Theoretical or Mathematical", } @Article{Ireland:1986:CNC, author = "K. F. Ireland and R. D. Small", title = "Class Numbers of Cyclotomic Function Fields", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "337--340", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R58", MRnumber = "87b:11119", MRreviewer = "David Goss", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "New Brunswick Univ., Fredericton, NB, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class number; cyclotomic; function fields; irreducible polynomials; Kummer's theorem; number theory; p-divisibility", treatment = "T Theoretical or Mathematical", } @Article{Segal:1986:WDS, author = "Robert Segal and Robert L. Ward", title = "Weight distributions of some irreducible cyclic codes", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "341--354", month = jan, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "94B15 (11T71)", MRnumber = "87d:94043", MRreviewer = "John Karlof", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "binary codes; codes; field; finite; irreducible cyclic codes; number theory; weight distributions; weight enumerators", treatment = "T Theoretical or Mathematical", } @Article{Bauer:1986:STR, author = "Helmut F. Bauer", title = "Supplement to Table of the Roots of the Associated {Legendre} Function with Respect to the Degree", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "S29--S41", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Beale:1986:SCD, author = "J. Thomas Beale", title = "Supplement to {A} Convergent 3-{D} Vortex Method with Grid-Free Stretching", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "S15--S20", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Forster:1986:SWC, author = "Klaus-Jurgen Forster and Georg-Peter Ostermeyer", title = "Supplement to {``On Weighted Chebyshev-Type Quadrature Formulas''}", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "S21--S27", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Yamaki:1986:SCF, author = "Hiroyoshi Yamaki", title = "Supplement to {A} Conjecture of {Frobenius} and the Sporadic Simple Groups. {II}", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "S43--S46", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1986:IME, author = "James H. Bramble and Joseph E. Pasciak and Alfred H. Schatz", title = "An iterative method for elliptic problems on regions partitioned into substructures", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "361--369", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N20 (65F10 65N30)", MRnumber = "88a:65123", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic estimates; discretizations; elliptic problems; iterative method; iterative methods; matrix problems; preconditioners", treatment = "T Theoretical or Mathematical", } @Article{Cayco:1986:FET, author = "M. E. Cayco and R. A. Nicolaides", title = "Finite element technique for optimal pressure recovery from stream function formulation of viscous flows", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "371--377", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76-08 76D05)", MRnumber = "88a:65128", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. of Math., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cubic macroelement; equation; finite element analysis; finite element solution; Navier--Stokes; Navier--Stokes equations; optimal pressure recovery; optimality; stream function formulation; viscous flows", treatment = "T Theoretical or Mathematical", } @Article{Harten:1986:LTS, author = "Ami Harten", title = "On a Large Time-Step High Resolution Scheme", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "379--399", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (65M10 76L05)", MRnumber = "87f:65099", MRreviewer = "Randall J. LeVeque", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Tel-Aviv Univ., Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; Courant-Friedrichs-Lewy theorem; difference equations; explicit schemes; hyperbolic conservation laws; initial value; large time-step high; nonlinear schemes; problems; resolution scheme; total-variation-diminishing; weak solutions", treatment = "T Theoretical or Mathematical", } @Article{Beale:1986:CDV, author = "J. Thomas Beale", title = "A convergent $3$-{D} vortex method with grid-free stretching", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "401--424, S15--S20", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76C05 (65M15 76-08)", MRnumber = "87e:76037", MRreviewer = "Beny Neta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Dept. of Math., Duke Univ., Durham, NC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergent 3-D vortex method; grid-free stretching; incompressible inviscid flow; Lagrangian frame; velocity approximation; vortices; vorticity elements", treatment = "T Theoretical or Mathematical", } @Article{Halpern:1986:ABC, author = "Laurence Halpern", title = "Artificial boundary conditions for the linear advection diffusion equation", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "425--438", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76-08 (35K20)", MRnumber = "87e:76005", MRreviewer = "John C. Strikwerda", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0230 (Function theory, analysis); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Centre de Math. Appl., Ecole Polytech., Palaiseau, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "artificial boundary conditions; associated; boundary-value problems; differential equations; initial boundary value problem; linear advection diffusion equation; Navier--Stokes equations; numerical results; partial; viscosity", treatment = "T Theoretical or Mathematical", } @Article{McCormick:1986:FAC, author = "S. F. McCormick and J. W. Thomas", title = "The fast adaptive composite grid ({FAC}) method for elliptic equations", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "439--456", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N20 (65F10 65N50)", MRnumber = "87e:65070", MRreviewer = "Harry Yserentant", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Colorado State Univ., Fort Collins, CO, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; coarse grid; differential boundary value problems; differential equations; elliptic; equations; fast adaptive grid method; parallel computation; solution; vector computation", treatment = "T Theoretical or Mathematical", } @Article{Werschulz:1986:CIE, author = "Arthur G. Werschulz", title = "Complexity of Indefinite Elliptic Problems", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "457--477", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (35J40 65N15 68Q25)", MRnumber = "88a:65137", MRreviewer = "M. S. Abou El-Seoud", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Div. of Sci. and Math., Fordham Univ., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "a priori bound; approximate; approximation theory; boundary-value problems; difference; equations; finite element; indefinite elliptic problems complexity; linear regularly-elliptic 2 mth-order boundary-; method; Sobolev l-norm; Sobolev r-norm; solution; value problem; weakly coercive bilinear form", treatment = "T Theoretical or Mathematical", } @Article{Schmeiser:1986:ASB, author = "Christian Schmeiser", title = "Approximate solution of boundary value problems on infinite intervals by collocation methods", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "479--490", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (34A10 34B15)", MRnumber = "87g:65095", MRreviewer = "Henning Esser", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. fur Angewandte und Numerische Math., Tech. Univ., Wien, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; boundary value problems; boundary-value problems; collocation methods; convergence; differential; differential equations; equations; infinite intervals; numerical solution; ordinary; stability", treatment = "T Theoretical or Mathematical", } @Article{Lotstedt:1986:NSN, author = "Per L{\"o}tstedt and Linda Petzold", title = "Numerical solution of nonlinear differential equations with algebraic constraints. {I}. Convergence results for backward differentiation formulas", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "491--516", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (65L07)", MRnumber = "87f:65083", MRreviewer = "Eugene Allgower", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Aerosp. Div., SAAB-Scania, Link{\"o}ping, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic constraints; backward differentiation formulas; constrained mechanical; convergence results; electrical networks; engineering; fluid dynamics; modelling; nonlinear differential equations; numerical methods; physics; systems", treatment = "T Theoretical or Mathematical", } @Article{Tsuchiya:1986:TMA, author = "Takuya Tsuchiya", title = "On two methods for approximating minimal surfaces in parametric form", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "517--529", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "49D20 (49F10 65E05)", MRnumber = "87d:49043", MRreviewer = "Guy Jumarie", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290F (Interpolation and function approximation); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Kyushu Univ., Fukuoka Univ., Japan", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximating minimal surfaces; approximation theory; boundary-value problems; conformal maps; convergence; graph theory; parametric form", treatment = "T Theoretical or Mathematical", } @Article{Speevak:1986:EAO, author = "Ted Speevak", title = "An efficient algorithm for obtaining the volume of a special kind of pyramid and application to convex polyhedra", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "531--536", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "52A25 (52-04)", MRnumber = "87d:52012", MRreviewer = "Balder von Hohenbalken", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/siggraph/86.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4190 (Other numerical methods)", corpsource = "Dept. of Corp. Productivity, Bell Canada, Toronto, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cohen-Hickey method; computational geometry; convex polyhedra; pyramid", oldlabel = "geom-1866", treatment = "T Theoretical or Mathematical", } @Article{Higham:1986:NMM, author = "Nicholas J. Higham", title = "{Newton}'s Method for the Matrix Square Root", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "537--549", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F30 (65H10)", MRnumber = "87d:65045", MRreviewer = "Lars Eld{\'e}n", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Manchester Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "equation; iterative methods; mathematical convergence; matrix algebra; matrix square root; Newton iteration; Newton method; perturbation analysis; properties; quadratic matrix", kwds = "nla, matrix function, matrix square root, Newton's method", treatment = "T Theoretical or Mathematical", } @Article{Milovanovic:1986:LSA, author = "Gradimir V. Milovanovi{\'c} and Staffan Wrigge", title = "Least Squares Approximation With Constraints", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "551--565", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (41A30)", MRnumber = "88c:65023a", MRreviewer = "Hans-J{\"u}rgen Albrand", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Nis Univ., Yugoslavia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "constraints; least squares approximation; least squares approximations", treatment = "T Theoretical or Mathematical", } @Article{Mettke:1986:CIS, author = "Holger Mettke", title = "Convex Interpolation by Splines of Arbitrary Degree", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "567--576", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (41A15)", MRnumber = "87i:65017", MRreviewer = "Bernd Droste", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ., Dresden, East Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arbitrary degree; convex interpolation; convexity; error estimations; interpolation; interpolation spline; necessary and sufficient conditions; solvability; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Farwig:1986:RCS, author = "Reinhard Farwig", title = "Rate of convergence of {Shepard}'s global interpolation formula", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "577--590", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (41A05 41A25)", MRnumber = "88a:65015", MRreviewer = "R. Franke", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Angewandte Math., Bonn Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximating power; convergence; data points; Euclidean norm; interpolation; Shepard's global interpolation formula; Taylor polynomials", treatment = "T Theoretical or Mathematical", } @Article{Forster:1986:WCT, author = "Klaus-J{\"u}rgen F{\"o}rster and Georg-Peter Ostermeyer", title = "On Weighted {Chebyshev}-Type Quadrature Formulas", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "591--599, S21--S27", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "87h:65042", MRreviewer = "Gheorghe Coman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Angewandte Math., Tech. Univ. Braunschweig, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; uniqueness; weighted Chebyshev-type quadrature formulas", treatment = "T Theoretical or Mathematical", } @Article{Bauer:1986:TRA, author = "Helmut F. Bauer", title = "Tables of the roots of the associated {Legendre} function with respect to the degree", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "601--602, S29--S41", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A45 (65A05 65H05)", MRnumber = "87c:33011", MRreviewer = "Boro D{\"o}ring", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. of the German Armed Forces, Neubiberg, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "associated Legendre function; numerical value; polynomials; roots; tables", treatment = "T Theoretical or Mathematical", } @Article{McCarthy:1986:EIM, author = "D. P. McCarthy", title = "Effect of improved multiplication efficiency on exponentiation algorithms derived from addition chains", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "603--608", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "68Q25", MRnumber = "87e:68046", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Trinity Coll., Dublin, Ireland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "addition chains; algorithms; exponentiation; multiplication efficiency; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Yamaki:1986:CFS, author = "Hiroyoshi Yamaki", title = "A conjecture of {Frobenius} and the sporadic simple groups. {II}", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "609--611, S43--S46", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20D08", MRnumber = "87i:20033", MRreviewer = "Richard M. Thomas", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Tsukuba Univ., Ibaraki, Japan", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "classification; conjecture of Frobenius; finite simple; group theory; groups; sporadic simple groups", treatment = "T Theoretical or Mathematical", } @Article{Easton:1986:EIM, author = "David Easton", title = "Effective irrationality measures for certain algebraic numbers", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "613--622", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11J68 (11J82)", MRnumber = "87f:11047", MRreviewer = "P. L. Cijsouw", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Pure Math., Waterloo Univ., Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic numbers; approximation; approximation theory; irrationality measures; Pad{\'e} approximants; rational", treatment = "T Theoretical or Mathematical", } @Article{Tzanakis:1986:RTW, author = "Nicholas Tzanakis", title = "A Remark on a Theorem of {W. E. H. Berwick}", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "623--625", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R27 (11Y40)", MRnumber = "87d:11084", MRreviewer = "Horst Brunotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4200 (Computer theory)", corpsource = "Dept. of Math., Crete Univ., Greece", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computation theory; fundamental units; semireal biquadratic field", treatment = "T Theoretical or Mathematical", } @Article{Kretschmer:1986:CEC, author = "Thomas J. Kretschmer", title = "Construction of Elliptic Curves with Large Rank", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "627--635", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G05 (14G25)", MRnumber = "87g:11069", MRreviewer = "Toshihiro Hadano", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Saarlandes Univ., Saarbrucken, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number field; computational geometry; curve fitting; elliptic curves construction; nontrivial torsion group; torsion group", treatment = "T Theoretical or Mathematical", } @Article{Reichert:1986:EDN, author = "Markus A. Reichert", title = "Explicit determination of nontrivial torsion structures of elliptic curves over quadratic number fields", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "637--658", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G05 (11Y16 14G25 14K07)", MRnumber = "87f:11039", MRreviewer = "Toshihiro Hadano", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Saarlandes Univ., Saarbrucken, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "curve fitting; elliptic curves; modular curves; nontrivial torsion structures; number fields; quadratic; quadratic fields", treatment = "T Theoretical or Mathematical", } @Article{Lettl:1986:LBC, author = "G{\"u}nter Lettl", title = "A lower bound for the class number of certain cubic number fields", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "659--666", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11R29)", MRnumber = "87e:11123", MRreviewer = "Charles J. Parry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Math., Karl-Franzens Univ., Graz, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class number; cubic number fields; lower bound; polynomials", treatment = "T Theoretical or Mathematical", } @Article{vandeLune:1986:ZRZ, author = "J. {van de Lune} and H. J. J. {te Riele} and D. T. Winter", title = "On the zeros of the {Riemann} zeta function in the critical strip. {IV}", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "667--681", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M26 (11-04 11Y35 30C15)", MRnumber = "87e:11102", MRreviewer = "J{\"u}rgen G. Hinz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4240 (Programming and algorithm theory); C6150G (Diagnostic, testing, debugging and evaluating systems)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "critical strip; data; Gram blocks; poles and zeros; program verification; programming theory; Riemann zeta function; Rosser's rule; statistical; zeros", treatment = "T Theoretical or Mathematical", } @Article{Lehmer:1986:ID, author = "D. H. Lehmer and K. Mahler and A. J. {van der Poorten}", title = "Integers with digits $0$ or $1$", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "683--689", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A63 (11Y99)", MRnumber = "87e:11017", MRreviewer = "F. Schweiger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "function approximation; nonnegative integers", treatment = "T Theoretical or Mathematical", } @Article{Kurtz:1986:FPT, author = "G. C. Kurtz and Daniel Shanks and H. C. Williams", title = "Fast primality tests for numbers less than $ 50 \cdot 10^9 $", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "691--701", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A51 11R16)", MRnumber = "87d:11101", MRreviewer = "H. J. Godwin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer search; fast primality tests; function approximation; Perrin sequence", treatment = "T Theoretical or Mathematical", } @Article{Steiner:1986:MEP, author = "Ray P. Steiner", title = "On {Mordell}'s Equation $ y^2 - k = x^3 $: a Problem of {Stolarsky}", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "703--714", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25 (11-04 11Y50)", MRnumber = "87e:11041", MRreviewer = "A. Peth{\"o}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shen:1986:C, author = "Mok-Kong Shen", title = "On the Congruence $ 2^{n - k} \equiv 1 (\operatorname {mod} n) $", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "715--716", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A07", MRnumber = "87e:11005", MRreviewer = "Stanley J. Benkoski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Stinson:1986:STS, author = "D. R. Stinson and E. Seah", title = "$ 284 \, 457 $ {Steiner} triple systems of order $ 19 $ contain a subsystem of order $9$", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "717--729", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05B07 (20B25)", MRnumber = "87c:05027", MRreviewer = "Alan Hartman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "284457 Steiner triple systems; graph theory", treatment = "T Theoretical or Mathematical", } @Article{Blecksmith:1986:CAI, author = "Richard Blecksmith and John Brillhart and Irving Gerst", title = "A computer-assisted investigation of {Ramanujan} pairs", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "731--749", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11P57", MRnumber = "87j:11111", MRreviewer = "George E. Andrews", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); C1160 (Combinatorial mathematics); C7310 (Mathematics computing)", corpsource = "Dept. of Math. Sci., Northern Illinois Univ., Dekalb, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bounding; computer-assisted investigation; local branching degree; number theory; power series; programs; Ramanujan pairs; search techniques; search tree", treatment = "T Theoretical or Mathematical", } @Article{Lagrange:1986:TTS, author = "J. Lagrange and J. Leech", title = "Two Triads of Squares", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "751--758", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D09", MRnumber = "87d:11018", MRreviewer = "P. Bundschuh", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. de Math., Reims Univ., France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integer distances; number theory; squares; triads", treatment = "T Theoretical or Mathematical", } @Article{Heald:1986:CRA, author = "Mark A. Heald", title = "Corrigenda: {``Rational approximations for the Fresnel integrals''} {[Math. Comp. {\bf 44} (1985), no. 170, 459--461, MR 86b:65017]}", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "771--771", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "87f:65026", bibdate = "Wed Jan 15 09:19:13 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{teRiele:1986:CZRa, author = "Herman J. J. {te Riele}", title = "Corrigenda: {``On the zeros of the Riemann zeta function in the critical strip. II''} {[Math. Comp. {\bf 39} (1982), no. 160, 681--688, MR 83m:10067] by R. P. Brent, J. van de Lune, te Riele and D. T. Winter}", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "771--771", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M26 (11-04 30-04)", MRnumber = "{87e:11103}", bibdate = "Wed Jan 15 09:19:18 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{teRiele:1986:CZRb, author = "Herman J. J. {te Riele}", title = "Corrigenda: {``On the zeros of the Riemann zeta function in the critical strip. III''} {[Math. Comp. {\bf 41} (1983), no. 164, 759--767, MR 85e:11062] by J. van de Lune and te Riele}", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "771--771", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M26 (11-04 11Y35)", MRnumber = "87e:11104", bibdate = "Wed Jan 15 09:19:18 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Delfour:1986:SDP, author = "M. C. Delfour and F. Dubeau", title = "Supplement to Discontinuous Polynomial Approximations in the Theory of One-Step, Hybrid and Multistep Methods for Nonlinear Ordinary Differential Equations", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "S1--S8", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{teRiele:1986:SCA, author = "H. J. J. {te Riele}", title = "Supplement to Computation of All the Amicable Pairs Below $ 10^10 $", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "S9--S40", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Johnson:1986:SDM, author = "Claes Johnson and Jukka Saranen", title = "Streamline diffusion methods for the incompressible {Euler} and {Navier--Stokes} equations", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "1--18", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76-08 76D05)", MRnumber = "88b:65133", MRreviewer = "Christopher Caldwell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0270 (Computational techniques); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. of Math., Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "equations; Euler; finite element analysis; fluid; high Reynolds numbers; incompressible; Navier--Stokes equations; streamline diffusion finite element method; time-dependent; two-dimensional Navier--Stokes equations; zero viscosity", treatment = "T Theoretical or Mathematical", } @Article{Lucier:1986:NMD, author = "Bradley J. Lucier", title = "On nonlocal monotone difference schemes for scalar conservation laws", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "19--36", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35L65)", MRnumber = "87j:65110", MRreviewer = "Carlos A. de Moura", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conservation laws; convergence of numerical methods; difference equations; difference schemes; discretisation; dispersive term; error analysis; explicit monotone finite-difference schemes; finite-difference; long-wave Sobolev regularisations; monotone finite-difference schemes; nonlinear dissipative term; nonlocal monotone; scalar conservation laws; semi-implicit; stability", treatment = "T Theoretical or Mathematical", } @Article{LeVeque:1986:IBC, author = "Randall J. LeVeque", title = "Intermediate boundary conditions for time-split methods applied to hyperbolic partial differential equations", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "37--54", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (76B15)", MRnumber = "87h:65146", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4735 (Waves in fluid dynamics)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary conditions; boundary-value problems; convergence of numerical methods; differential equations; disparate; fractional step methods; hyperbolic partial; inflow-outflow boundaries; initial boundary-value problem stability; intermediate; one-dimensional shallow water equations; partial differential equations; quasilinear system; time-split methods; wave speeds; waves", treatment = "T Theoretical or Mathematical", } @Article{Lasiecka:1986:GAA, author = "I. Lasiecka", title = "{Galerkin} approximations of abstract parabolic boundary value problems with rough boundary data---$ {L}_p $ theory", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "55--75", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "87i:65187", MRreviewer = "J. H. Bramble", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Florida Univ., Gainesville, FL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abstract; boundary-value problems; convergence of numerical methods; function approximation; Galerkin approximations; L/sub p/ theory; optimal convergence rates; parabolic boundary value problems; partial differential equations; rough boundary data", treatment = "T Theoretical or Mathematical", } @Article{Karakashian:1986:RKM, author = "Ohannes A. Karakashian", title = "On {Runge--Kutta} methods for parabolic problems with time-dependent coefficients", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "77--101", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N10 (65W05)", MRnumber = "87i:65161", MRreviewer = "Kevin Burrage", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Tennessee Univ., Knoxville, TN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "fully discrete approximations; function approximation; Galerkin; implicit; iterative methods; Kutta methods; linear algebra; linear equations; parabolic equations; parallel computations; parallel processing; partial differential equations; preconditioned iterative methods; Runge-; Runge--Kutta methods; time-dependent coefficients", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1986:CPE, author = "James H. Bramble and Joseph E. Pasciak and Alfred H. Schatz", title = "The construction of preconditioners for elliptic problems by substructuring. {I}", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "103--134", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F10 65W05)", MRnumber = "87m:65174", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic system of equations; boundary-value problems; condition number analysis; convergence of numerical methods; differential; discrete systems; domain decomposition; finite element analysis; finite element methods; irregular geometry; iterative convergence rate; iterative methods; linear algebra; operators; parallel computing; parallel processing; partial differential equations; preconditioners; substructuring; symmetric elliptic boundary; value problems", kwds = "nla, preconditioning", treatment = "T Theoretical or Mathematical", } @Article{Falk:1986:LCD, author = "R. S. Falk and P. B. Monk", title = "Logarithmic convexity for discrete harmonic functions and the approximation of the {Cauchy} problem for {Poisson}'s equation", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "135--149", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35R35 65M30)", MRnumber = "87j:65109", MRreviewer = "Ulrich Eckhardt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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., Rutgers Univ., New Brunswick, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; C/sup 0/; Cauchy problem approximation; continuous dependence; discrete harmonic functions; equations; error analysis; error estimates; function approximation; Laplace equation; logarithmic convexity; partial differential; piecewise-linear approximation; piecewise-linear techniques; Poisson equation; rectangle; regularisation method", treatment = "T Theoretical or Mathematical", } @Article{Brezzi:1986:NAM, author = "F. Brezzi and M. Fortin", title = "Numerical Approximation of {Mindlin--Reissner} Plates", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "151--158", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "73K25 (65N30)", MRnumber = "87g:73057", MRreviewer = "Vladim{\u{\i}}r Janovsk{\'y}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4630C (Elasticity)", corpsource = "Dipartimento di Meccanica Strutturale, Pavia Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; convergence of numerical methods; elasticity; element approximation; error; finite; finite element analysis; Mindlin--Reissner plates; moderately thick elastic plates; numerical approximation; optimal error bounds; stability", treatment = "T Theoretical or Mathematical", } @Article{Venturino:1986:SSI, author = "Ezio Venturino", title = "On solving singular integral equations via a hyperbolic tangent quadrature rule", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "159--167", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45E05)", MRnumber = "87k:65158", MRreviewer = "Christopher T. H. Baker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); B0290M (Numerical integration and differentiation); B0290R (Integral equations); C4140 (Linear algebra); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math. and Stat., State Univ. of New York, Stony Brook, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "collocation; determinant; hyperbolic tangent quadrature rule; integral equations; integration; linear algebra; linear equations; lower bound; nonsingular system matrix; singular integral equations", treatment = "T Theoretical or Mathematical", } @Article{Delfour:1986:DPA, author = "M. C. Delfour and F. Dubeau", title = "Discontinuous Polynomial Approximations in the Theory of One-Step, Hybrid and Multistep Methods for Nonlinear Ordinary Differential Equations", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "169--189, S1--S8", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L20", MRnumber = "87h:65134", MRreviewer = "W. F. Ames", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1330 (Optimal control); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Montreal Univ., Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; convergence; convergence of numerical methods; discontinuous piecewise polynomial approximations; discretisation nodes; hybrid methods; L/sup 2/-norm; mesh-dependent variational framework; methods; multistep; nodal-; nonlinear differential equations; nonlinear ordinary differential equations; one-step; optimal control; optimal control problems; polynomials; traces; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Elman:1986:SAI, author = "Howard C. Elman", title = "A stability analysis of incomplete $ {LU} $ factorizations", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "191--217", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (65N10 65N20)", MRnumber = "87h:65057", MRreviewer = "L. W. Ehrlich", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; difference equations; discretization; elliptic partial differential equations; elliptic problem; equations; finite-difference schemes; incomplete LU factorizations; iterative; iterative methods; linear algebra; methods; numerical instability; partial differential; preconditionings; sparse linear systems; stability analysis; two-dimensional non-self-adjoint", kwds = "nla, lud, rounding error, incomplete factorization, preconditioning", treatment = "T Theoretical or Mathematical", } @Article{HughesHallett:1986:CAO, author = "A. J. {Hughes Hallett}", title = "The Convergence of Accelerated Overrelaxation Iterations", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "219--223", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10", MRnumber = "87g:65046", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Econ., Newcastle-upon-Tyne Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accelerated overrelaxation iterations; algebra; conditionally optimal process; convergence conditions; convergence of numerical methods; iterative methods; linear; overrelaxation iterations; real linear equation system; relaxation theory; successive", treatment = "T Theoretical or Mathematical", } @Article{Stenger:1986:ENO, author = "Frank Stenger", title = "Explicit, nearly optimal, linear rational approximation with preassigned poles", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "225--252", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A20 (41A25 65D15)", MRnumber = "87g:41034", MRreviewer = "Peter Borwein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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., Utah Univ., Salt Lake City, UT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accuracy; analytic; and zeros; approximation errors; error analysis; explicit nearly-optimal linear rational approximation; explicit rational functions; function approximation; interpolation; poles; polynomials; preassigned poles; regions", treatment = "T Theoretical or Mathematical", } @Article{Underhill:1986:SAP, author = "C. Underhill", title = "Some asymptotic properties of {Pad{\'e}} approximants to $ e^{-x} $", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "253--263", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A20 (41A21 41A25)", MRnumber = "87j:41049", MRreviewer = "J. Della Dora", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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., Salford Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; asymptotic; differential equations; e/sup -x/; error analysis; expansions; exponential functions; function; matched asymptotic; ordinary differential equations; Pad{\'e} approximants; poles and zeros; properties; real zeros", treatment = "T Theoretical or Mathematical", } @Article{Mosier:1986:RNP, author = "Ronald G. Mosier", title = "Root Neighborhoods of a Polynomial", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "265--273", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65G05 (12D10 30C10 30C15)", MRnumber = "87k:65056", MRreviewer = "J. Della Dora", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 Appl. Math., Chrysler Corp., Detroit, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex field; error analysis; polynomial over the; polynomials; root neighborhoods; roundoff errors", treatment = "T Theoretical or Mathematical", } @Article{Olmsted:1986:TFG, author = "Coert Olmsted", title = "Two formulas for the general multivariate polynomial which interpolates a regular grid on a simplex", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "275--284", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A05 (41A63)", MRnumber = "88c:41007", MRreviewer = "Franz-J{\"u}rgen Delvos", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Geophys. Inst., Alaska Univ., Fairbanks, AK, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "general multivariate polynomial; interpolation; Lagrange shape polynomials; multivariate; polynomials; regular grid; simplex", treatment = "T Theoretical or Mathematical", } @Article{Schneider:1986:SNA, author = "Claus Schneider and Wilhelm Werner", title = "Some New Aspects of Rational Interpolation", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "285--299", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (41A20)", MRnumber = "87k:65012", MRreviewer = "M. M. Chawla", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Math., Johannes-Gutenberg Univ., Mainz, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "barycentric formula; interpolation; rational interpolation", treatment = "T Theoretical or Mathematical", } @Article{Monegato:1986:QFF, author = "Giovanni Monegato", title = "Quadrature formulas for functions with poles near the interval of integration", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "301--312", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (41A55)", MRnumber = "87i:65030", MRreviewer = "G. A. Evans", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dipartimento di Matematica, Politecnico di Torino, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex conjugate pole pairs; integration; integration intervals; interpolation; near integration intervals; poles; poles and zeros; quadrature rules; real function values", treatment = "T Theoretical or Mathematical", } @Article{Lyness:1986:MWM, author = "J. N. Lyness and G. Giunta", title = "A modification of the {Weeks} method for numerical inversion of the {Laplace} transform", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "313--322", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R10 (44A10)", MRnumber = "87h:65216", MRreviewer = "G. F. Miller", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); B0290Z (Other numerical methods); C4120 (Functional analysis); C4190 (Other numerical methods)", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "contour integrals; function evaluation; Laplace; Laplace transforms; modified Weeks method; numerical evaluation; numerical inversion; transform", treatment = "T Theoretical or Mathematical", } @Article{Swarztrauber:1986:SF, author = "Paul N. Swarztrauber", title = "Symmetric {FFTs}", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "323--346", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65T05", MRnumber = "88a:65157", MRreviewer = "Harald E. Krogstad", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Nat. Center for Atmos. Res., Boulder, CO, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "closed symmetries; complex sequence; fast Fourier transforms; real sequence; reduced computing time; series (mathematics); symmetric FFTs", treatment = "T Theoretical or Mathematical", } @Article{Elizalde:1986:AEF, author = "E. Elizalde", title = "An asymptotic expansion for the first derivative of the generalized {Riemann} zeta function", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "347--350", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M35 (81G05)", MRnumber = "87h:11081", MRreviewer = "S. Audinarayana Moorthy", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. de Fisica Teorica, Barcelona Univ., Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansion; differentiation; first derivative; function approximation; generalized Riemann; negative integer values; partial derivative; zeta function", treatment = "T Theoretical or Mathematical", } @Article{Shiu:1986:CST, author = "Peter Shiu", title = "Counting sums of two squares: the {Meissel--Lehmer} method", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "351--360", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y35 (11N37 11P05)", MRnumber = "87h:11127", MRreviewer = "D. H. Lehmer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib; JSTOR database", note = "See corrigendum \cite{Shiu:2019:CCS}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Loughborough Univ. of Technol., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Meissel--Lehmer method; number theory; prime-counting function; sums of two squares", treatment = "T Theoretical or Mathematical", } @Article{teRiele:1986:CAA, author = "H. J. J. {te Riele}", title = "Computation of All the Amicable Pairs Below $ 10^{10} $", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "361--368, S9--S40", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25 (11Y70)", MRnumber = "87i:11014", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "10/sup 10/; amicable pairs below; Bohro-Hoffmann theorem; number theory", treatment = "T Theoretical or Mathematical", } @Article{Hasegawa:1986:CGC, author = "Takemitsu Hasegawa", title = "Corrigendum: {``Generalized Chebyshev interpolation and its application to automatic quadrature''} {[Math. Comp. {\bf 41} (1983), no. 164, 537--553, MR 84m:65037] by Hasegawa, T. Torii and I. Ninomiya}", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "385--385", month = jul, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "87g:65034", bibdate = "Wed Jan 15 09:19:20 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Calio:1986:SCG, author = "Franca Calio and Walter Gautschi and Elena Marchetti", title = "Supplement to On Computing {Gauss--Kronrod} Quadrature Formulae", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "S57--S63", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Majda:1986:SSL, author = "George Majda", title = "Supplement to Stability with Large Step Sizes for Multistep Discretizations of Stiff Ordinary Differential Equations", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "S41--S44", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Manteuffel:1986:SNS, author = "Thomas A. Manteuffel and Andrew B. {White, Jr.}", title = "Supplement to The Numerical Solution of Second-Order Boundary Value Problems on Nonuniform Meshes", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "S53--S55", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Skeel:1986:SCV, author = "Robert D. Skeel", title = "Supplement to Construction of Variable-Stepsize Multistep Formulas", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "S45--S52", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Greengard:1986:CVF, author = "Claude Greengard", title = "Convergence of the Vortex Filament Method", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "387--398", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M15 (76-08)", MRnumber = "88f:65151", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "3D; Beale-Majda method; convergence of numerical methods; error analysis; error estimates; fully discrete convergence estimates; incompressible flow; vortex filament method; vortices", treatment = "T Theoretical or Mathematical", } @Article{Yserentant:1986:CML, author = "Harry Yserentant", title = "The Convergence of Multi-Level Methods for Solving Finite-Element Equations in the Presence of Singularities", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "399--409", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N20 (65F10 65N30)", MRnumber = "88d:65149", MRreviewer = "Robert Beauwens", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", corpsource = "Dortmund Univ., East Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abrupt boundary condition changes; boundary-value problems; convergence of numerical methods; convergence proofs; finite element analysis; finite-element equations; H/sup 2/-regular problems; linear algebra; multi-level methods; properly refined grids; quasi-uniform; re-entrant corners; singularities; subdivisions", treatment = "T Theoretical or Mathematical", } @Article{Socolovsky:1986:DSD, author = "E. A. Socolovsky", title = "Difference schemes for degenerate parabolic equations", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "411--420", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "87m:65137", MRreviewer = "H. R. Shen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4755M (Flow through porous media)", corpsource = "Dept. of Math. Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate L/sup 1/-space; approximation; Berger-Brezis-Rogers; convergence rate; degenerate parabolic equations; diagonal dominant implicit-difference schemes; difference equations; differential equations; flow through; flow through porous media; fully discrete algorithms; function; multidimensional; nonlinear differential equations; nonlinear equations; partial; porous media; schemes; semigroups", treatment = "T Theoretical or Mathematical", } @Article{Trefethen:1986:WPO, author = "Lloyd N. Trefethen and Laurence Halpern", title = "Well-posedness of one-way wave equations and absorbing boundary conditions", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "421--435", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N99 (65D05 65M05)", MRnumber = "88b:65148", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A0340K (Waves and wave propagation: general mathematical aspects); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., MIT, Cambridge, MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "absorbing boundary conditions; approximation; boundary-value problems; equations; function approximation; one-way wave equations; Pad{\'e}; partial differential equation; wave; well-posedness", treatment = "T Theoretical or Mathematical", } @Article{Higdon:1986:ABC, author = "Robert L. Higdon", title = "Absorbing boundary conditions for difference approximations to the multidimensional wave equation", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "437--459", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "87m:65131", MRreviewer = "B. M. Herbst", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A0340K (Waves and wave propagation: general mathematical aspects)", corpsource = "Dept. of Math., Oregon State Univ., Corvallis, OR, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; boundary-value problems; difference approximations; difference equations; function; multi-dimensional wave equations; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Werschulz:1986:WCR, author = "Arthur G. Werschulz", title = "What is the complexity of related elliptic, parabolic, and hyperbolic problems?", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "461--472", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65P05 (68Q15)", MRnumber = "87k:65152", MRreviewer = "S. Hitotumatu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A0270 (Computational techniques)A0340K (Waves and wave propagation: general mathematical aspects); A0560 (Transport processes: theory); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Div. of Sci. and Math., Fordham Univ., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complexity; computational complexity; differential equations; elliptic problem; equation; heat equation; heat transfer; hyperbolic problems; parabolic problem; partial; partial differential equations; steady-state heat; wave equation; wave equations; worst-case", treatment = "T Theoretical or Mathematical", } @Article{Majda:1986:SLS, author = "George Majda", title = "Stability with large step sizes for multistep discretizations of stiff ordinary differential equations", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "473--502, S41--S44", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L20", MRnumber = "88f:65133", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Div. of Appl. Math., Brown Univ., Providence, RI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; convergence of numerical methods; D-; discretizations; error analysis; error propagation; linear; linear differential equations; linear multistep methods; multistep; one-leg methods; stability; stability domains; stability with large; step sizes; stiff ordinary differential equations; twin time scales; variable coefficient linear systems", treatment = "T Theoretical or Mathematical", } @Article{Skeel:1986:CVS, author = "Robert D. Skeel", title = "Construction of Variable-Stepsize Multistep Formulas", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "503--510, S45--S52", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "87j:65080", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Illnois Univ., Urbana, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Adams formula; adaptable multistep methods; backward-differentiation; differential equations; error analysis; estimation; first Dahlquist barrier; fixed leading coefficient method; fixed-coefficient methods; fixed-stepsize; formula; formula changing; initial value; interpolatory methods; local error; minimum storage variable-stepsize; multistep formula; Nordsieck stepsize changing technique; problems; step methods; variable; variable coefficient methods; variable-order family of variable-coefficient formulas", treatment = "T Theoretical or Mathematical", } @Article{Manteuffel:1986:NSS, author = "Thomas A. Manteuffel and Andrew B. {White, Jr.}", title = "The numerical solution of second-order boundary value problems on nonuniform meshes", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "511--535, S53--S55", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10", MRnumber = "87m:65116", MRreviewer = "G. Hall", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Div. of Comput. and Commun., Los Alamos Nat. Lab., NM, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; Cartesian product grids; cell-centered; consistency; convergence; convergence of numerical methods; difference equations; difference schemes; differential equations; error analysis; low-order truncation error; nonuniform meshes; numerical solution; partial differential equations; problems; scalar boundary value problems; schemes; second-order accurate solutions; second-order boundary value; stability; vertex-centred difference", treatment = "T Theoretical or Mathematical", } @Article{Kreiss:1986:SCS, author = "H.-O. Kreiss and T. A. Manteuffel and B. Swartz and B. Wendroff and A. B. {White, Jr.}", title = "Supra-Convergent Schemes on Irregular Grids", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "537--554", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (40A30 65D25 65L10)", MRnumber = "88b:65082", MRreviewer = "Randall J. LeVeque", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Appl. Math., California Inst. of Technol., Pasadena, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary conditions; bounded functions; convergence of numerical methods; difference equations; fixed adjacent mesh ratios; general; irregular grids; kth-order compact difference; lower-order terms; mesh sizes; Numerov tridiagonal; scheme; schemes; stable compact schemes; superconvergent difference schemes; three-periodic mesh; unequal adjacent", treatment = "T Theoretical or Mathematical", } @Article{ORiordan:1986:UAF, author = "Eugene O'Riordan and Martin Stynes", title = "A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion problem", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "555--570", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10", MRnumber = "88f:65126", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Sci., Regional Tech. Coll., Dundalk, Ireland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; error analysis; exponential basis elements; finite element analysis; partial; perturbed one-dimensional reaction-diffusion problem; self-adjoint two-point BVP; singularly; tridiagonal difference scheme; uniform first-order accuracy; uniform second-order accuracy; uniformly accurate finite-element method", treatment = "T Theoretical or Mathematical", } @Article{Lund:1986:SSG, author = "John Lund", title = "Symmetrization of the {Sinc--Galerkin} method for boundary value problems", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "571--588", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65L10)", MRnumber = "87m:65186", MRreviewer = "I. Norman Katz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math. Sci., Montana State Univ., Bozemann, MT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymmetric coefficient matrix; boundary-value problems; convergence of numerical methods; convergence rate; differential equations; matrix algebra; method; products; regular singular points; second-order self-adjoint boundary value problem; Sinc--Galerkin; singular solutions; symmetric coefficient matrix; symmetric Sinc--Galerkin method; weighted Galerkin inner", treatment = "T Theoretical or Mathematical", } @Article{Sloan:1986:IEH, author = "I. H. Sloan and A. Spence", title = "Integral equations on the half-line: a modified finite-section approximation", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "589--595", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L10)", MRnumber = "88b:65157", MRreviewer = "L. J. Lardy", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Sch. of Math., New South Wales Univ., Sydney, NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate solution; convergence; convergence of numerical methods; function approximation; half-line; integral equations; modified finite-section approximation; Wiener--Hopf form", treatment = "T Theoretical or Mathematical", } @Article{McLean:1986:SGM, author = "W. McLean", title = "A spectral {Galerkin} method for a boundary integral equation", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "597--607", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L10)", MRnumber = "88e:65164", MRreviewer = "Claudio Canuto", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Oregon State Univ., Corvallis, OR, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2D Dirichlet problem; boundary; boundary-value problems; convergence in Sobolev spaces; convergence of numerical methods; fast; integral equation; integral equations; polynomials; single-layer potential; smooth boundary data; smooth domain; spectral Galerkin method; trigonometric polynomials", treatment = "T Theoretical or Mathematical", } @Article{Kelley:1986:SLA, author = "C. T. Kelley", title = "A {Shamanski{\u\i}}-like Acceleration Scheme for Nonlinear Equations at Singular Roots", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "609--623", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J15 (49D15)", MRnumber = "87m:65100", MRreviewer = "A. M. Galperin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4120 (Functional analysis); C4150 (Nonlinear and functional equations); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., North Cardina State Univ., Raleigh, NC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "acceleration; convergence; convergence of numerical methods; derivative; differentiation; equations; evaluation; function; function evaluations; Newton method; nonlinear; nonlinear equations; Shamanskii acceleration scheme; singular Frechet derivative; superlinearly convergent method", treatment = "T Theoretical or Mathematical", } @Article{Rabinowitz:1986:RCG, author = "Philip Rabinowitz", title = "Rates of convergence of {Gauss}, {Lobatto}, and {Radau} integration rules for singular integrands", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "625--638", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (65D32)", MRnumber = "87j:65030", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic singularity; convergence of numerical methods; convergence rates; divergence rates; error; error analysis; Gauss integration; generalized Jacobi weight function; integration; Lobatto integration rules; logarithmic; Radau integration rules; rules; singular integrands; singularity", treatment = "T Theoretical or Mathematical", } @Article{Calio:1986:CGK, author = "Franca Cali{\`o} and Walter Gautschi and Elena Marchetti", title = "On Computing {Gauss--Kronrod} Quadrature Formulae", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "639--650, S57--S63", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "88a:65028", MRreviewer = "G. A. Evans", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dipartimento di Matematica, Politechico Milano, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic singularity; Gauss--Kronrod; integration; logarithmic singularity; modified moments; Newton method; nonlinear maps; numerical condition; polynomial; polynomials; quadrature formulae", treatment = "T Theoretical or Mathematical", } @Article{Maeztu:1986:EGC, author = "J. I. Maeztu", title = "An Estimate of Goodness of Cubatures for the Unit Circle in $ {R}^2 $", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "651--658", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "87m:65045", MRreviewer = "Gh. Adam", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4120 (Functional analysis); C4160 (Numerical integration and differentiation)", corpsource = "Dept. de Matematica Aplicada, Bilbao Univ., Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "formula truncation error; functional analysis; goodness; group; group theory; integration; of cubature formula; Sharma-Eberlein estimate; symmetry; unit circle in R/sup 2/", treatment = "T Theoretical or Mathematical", } @Article{Bustoz:1986:GFI, author = "Joaquin Bustoz and Mourad E. H. Ismail", title = "On Gamma Function Inequalities", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "659--667", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A15 (26D20)", MRnumber = "87m:33002", MRreviewer = "G. Gasper", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1130 (Integral transforms); C1140Z (Other and miscellaneous)", corpsource = "Dept. of Math., Arizona State Univ., Tempe, AZ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "gamma function inequalities; infinite divisibility; Laplace; Laplace transforms; monotonic functions; probability; probability distributions; quotients; transforms", treatment = "T Theoretical or Mathematical", } @Article{Lewanowicz:1986:PPA, author = "S. Lewanowicz", title = "Properties of the polynomials associated with the {Jacobi} polynomials", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "669--682", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A65 (33A45)", MRnumber = "88a:33023", MRreviewer = "Joaquin Bustoz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Inst. of Comput. Sci., Wroclaw Univ., Poland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; differential equations; differential-; integrals; integration; Jacobi polynomial forms; polynomials; power forms", treatment = "T Theoretical or Mathematical", } @Article{Temme:1986:DIC, author = "N. M. Temme", title = "A double integral containing the modified {Bessel} function: asymptotics and computation", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "683--691", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A40 (41A60 65D30)", MRnumber = "87m:33006", MRreviewer = "S. D. Bajpai", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "distribution function; double integral; error analysis; error function; integral; integration; modified Bessel function; normal; polynomials; probability; series (mathematics); series expansions; two-dimensional", treatment = "T Theoretical or Mathematical", } @Article{Creutzburg:1986:NTT, author = "R. Creutzburg and M. Tasche", title = "Number-Theoretic Transforms of Prescribed Length", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "693--701", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "94A11 (11T21 11Y16)", MRnumber = "87i:94004", MRreviewer = "Kevin S. McCurley", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4190 (Other numerical methods)", corpsource = "Zentralinst. fur Kybernetik und Inf., Akad. der Wissenschafen Berlin, East Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "argument; DFTs; factorization of cyclotomic polynomials with integer-valued; fast Fourier transforms; moduli; number theory; number-theoretic transform; prime; primitive divisors of integers", treatment = "T Theoretical or Mathematical", } @Article{Williams:1986:P, author = "H. C. Williams and Harvey Dubner", title = "The Primality of $ {R1031} $", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "703--711", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A51)", MRnumber = "87k:11141", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; primality of R1031; repunit prime numbers", treatment = "T Theoretical or Mathematical", } @Article{Petho:1986:PPP, author = "A. Peth{\"o} and B. M. M. de Weger", title = "Products of Prime Powers in Binary Recurrence Sequences. Part {I}: The Hyperbolic Case, with an Application to the Generalized {Ramanujan--Nagell} Equation", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "713--727", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D61 (11Y50)", MRnumber = "87m:11027a", MRreviewer = "Andrew Bremner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "KLTE Mathematikai Intezet, Debrecen, Hungary", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); approximation theory; binary recurrence sequences; Diophantine approximation; discriminant; error analysis; Gelfond-baker theory; generalized Ramanujan--Nagell equation; hyperbolic case; number theory; positive; prime power products; series; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{deWeger:1986:PPP, author = "B. M. M. {de Weger}", title = "Products of Prime Powers in Binary Recurrence Sequences. Part {II}: The Elliptic Case, with an Application to a Mixed Quadratic-Exponential Equation", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "729--739", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D61 (11Y50)", MRnumber = "87m:11027b", MRreviewer = "Andrew Bremner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Rijksuniv, Leiden, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); approximation theory; binary; complex Gelfond-Baker theory; Diophantine approximation; Diophantine equation; discriminants; elliptic case; error analysis; exponential equation; mixed quadratic-; negative; number theory; p-adic Gelfond-Baker theory; prime power products; recurrence sequences; series; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Washington:1986:SRC, author = "Lawrence C. Washington", title = "Some Remarks on {Cohen--Lenstra} Heuristics", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "741--747", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R11 (11Y40)", MRnumber = "87j:11115", MRreviewer = "K. S. Williams", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cohen-Lenstra; curves; elliptic; Heuristics; imaginary quadratic fields; matrices; number theory; prime-divisible class number", treatment = "T Theoretical or Mathematical", } @Article{Haeringen:1986:TET, author = "H. {van Haeringen} and L. P. Kok", title = "Table erratum: {{\em A table of series and products} [Prentice-Hall, Englewood Cliffs, N.J., 1975] by E. R. Hansen}", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "767--767", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "00A22", MRnumber = "856 718", bibdate = "Wed Jan 15 09:19:22 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Solt:1986:TET, author = "G. Solt", title = "Table erratum: {{\em Table of integrals, series and products} [Academic Press, New York, 1980 and MR 81g:33001] by I. S. Gradshte{\u{\i}}n and I. M. Ryzhik}", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "768--768", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "00A22", MRnumber = "87j:00023", bibdate = "Wed Jan 15 09:19:26 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Skeel:1986:CEF, author = "R. D. Skeel", title = "Corrigendum: {``Equivalent forms of multistep formulas''} {[Math. Comp. {\bf 33} (1979), no. 148, 1229--1250, MR 80j:65027]}", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "769--769", month = oct, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "87k:65090", bibdate = "Wed Jan 15 09:19:24 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Cohen:1987:SIN, author = "H. Cohen and A. K. Lenstra", title = "Supplement to Implementation of a New Primality Test", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "s1--s4", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Adams:1987:CPT, author = "William W. Adams", title = "Characterizing pseudoprimes for third-order linear recurrences", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "1--15", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A51 (11-04 11B37 11Y11)", MRnumber = "87k:11014", MRreviewer = "W. Herget", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cubic recurrences; linear recurrences; number theory; primality test; prime numbers; pseudoprime characterisation; third-order", treatment = "T Theoretical or Mathematical", } @Article{Adleman:1987:SBQ, author = "Leonard M. Adleman and Dennis R. Estes and Kevin S. McCurley", title = "Solving bivariate quadratic congruences in random polynomial time", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "17--28", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y16 (11A07 11Y05)", MRnumber = "88h:11095", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Univ. Southern California, Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bivariate quadratic congruences; computational complexity; number theory; random polynomial time", treatment = "T Theoretical or Mathematical", } @Article{Blecksmith:1987:PRC, author = "Richard Blecksmith and John Brillhart and Irving Gerst", title = "Parity results for certain partition functions and identities similar to theta function identities", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "29--38", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11P76", MRnumber = "87k:11113", MRreviewer = "T. M. Apostol", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Northern Illinois Univ., Dekalb, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "combinatorial mathematics; number theory; parity; partition functions; theta function identities", treatment = "T Theoretical or Mathematical", } @Article{Buchmann:1987:CFU, author = "Johannes Buchmann", title = "The computation of the fundamental unit of totally complex quartic orders", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "39--54", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11R16)", MRnumber = "87m:11126", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Ohio State Univ., Columbus, OH, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complexity; computational complexity; fundamental unit; number theory; numbers theory; orders; regulator; totally complex quartic", treatment = "T Theoretical or Mathematical", } @Article{Buchmann:1987:PIT, author = "Johannes Buchmann and H. C. Williams", title = "On principal ideal testing in totally complex quartic fields and the determination of certain cyclotomic constants", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "55--66", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11R16)", MRnumber = "87m:11127", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Maths., Ohio State Univ., Columbus, OH, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number; complexity analysis; computational complexity; cyclotomic constants; fields; number theory; principal ideal testing; quadratic nonresidue; quintic nonresidue; totally complex quartic", treatment = "T Theoretical or Mathematical", } @Article{Buck:1987:CNO, author = "Nicholas Buck and Lones Smith and Blair K. Spearman and Kenneth S. Williams", title = "The Cyclotomic Numbers of Order Fifteen. With Microfiche Supplement", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "67--83", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B83 (11T21)", MRnumber = "87k:11028", MRreviewer = "R. J. Evans", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Coll. of New Caledonia, Prince George, BC, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "15; cyclotomic numbers of order fifteen; Dickson-Hurwitz sums; Jacobi sums of order; number theory", treatment = "T Theoretical or Mathematical", } @Article{Buell:1987:CGQ, author = "Duncan A. Buell", title = "Class Groups of Quadratic Fields. {II}", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "85--93", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R11 11Y40)", MRnumber = "87m:11109", MRreviewer = "Harvey Cohn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Louisiana State Univ., Baton Rouge, LA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "5-Sylow; even discriminants; group theory; imaginary quadratic fields; noncyclic class groups; number theory; odd discriminants; subgroup", treatment = "T Theoretical or Mathematical", } @Article{Cantor:1987:CJH, author = "David G. Cantor", title = "Computing in the {Jacobian} of a Hyperelliptic Curve", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "95--101", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y16 (11G20 14H25 14H40)", MRnumber = "88f:11118", MRreviewer = "Kevin S. McCurley", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; group theory; hyperelliptic curve; Jacobian group; number theory; reduction algorithm", treatment = "T Theoretical or Mathematical", } @Article{Cohen:1987:INP, author = "H. Cohen and A. K. Lenstra", title = "Implementation of a New Primality Test", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "103--121, S1--S4", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A51)", MRnumber = "88c:11080", MRreviewer = "Carl Pomerance", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Bordeaux 1 Univ., Talence, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Adleman-; Cohen--Lenstra primality test; mathematics computing; number theory; Pomerance-Rumely primality test; prime numbers", treatment = "P Practical; T Theoretical or Mathematical; X Experimental", } @Article{Cohen:1987:CGN, author = "H. Cohen and J. Martinet", title = "Class Groups of Number Fields: Numerical Heuristics", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "123--137", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11Y40)", MRnumber = "88e:11112", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1140Z (Other and miscellaneous); C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Bordeau 1 Univ., Talence, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class groups; class numbers; mathematics computing; number fields; number theory; numerical heuristics; statistical behavior; statistics", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Cohn:1987:ASM, author = "Harvey Cohn and Jesse Deutsch", title = "Application of symbolic manipulation to {Hecke} transformations of modular forms in two variables", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "139--146", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y16 (11F41)", MRnumber = "88c:11081", MRreviewer = "Marvin I. Knopp", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1120 (Analysis); C1160 (Combinatorial mathematics)", corpsource = "City Univ. of New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymmetric modular forms; Fourier analysis; Fourier expansions; Hecke transformations; Hilbert modular functions; modular forms in two variables; nonsymmetric modular forms; number; number theory; symbol manipulation; symbolic manipulation; symmetric modular forms; theory; transforms", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Cusick:1987:TFP, author = "T. W. Cusick and Lowell Schoenfeld", title = "A table of fundamental pairs of units in totally real cubic fields", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "147--158", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R27 (11Y40)", MRnumber = "87k:11123", MRreviewer = "Horst Brunotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Dept. of Math., State Univ. of New York, Buffalo, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class number; defining polynomial; fundamental pairs; index; integer coefficients; largest zero; mathematics computing; number theory; regulator; totally real cubic fields", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Gordon:1987:HOF, author = "Daniel Gordon and Douglas Grenier and Audrey Terras", title = "{Hecke} Operators and the Fundamental Domain for $ \mathrm {SL}(3, \mathbf {Z}) $", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "159--178", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F25 (11F55 11Y35)", MRnumber = "88e:11030", MRreviewer = "A. B. Venkov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., California Univ., San Diego, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "3*3 integral matrices; fundamental domain; graphs; group theory; Hecke operators; linear group; matrix algebra; number theory; SL(3, Z); special", treatment = "T Theoretical or Mathematical", } @Article{Gras:1987:SUR, author = "Marie-Nicole Gras", title = "Special Units in Real Cyclic Sextic Fields", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "179--182", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R27 (11R20)", MRnumber = "88m:11092", MRreviewer = "Johannes Buchmann", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Lab. de Math., Besancon Univ., France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cyclic sextic fields; generator; module; number theory; real; relative units; special units; square-free factor", treatment = "T Theoretical or Mathematical", } @Article{Guy:1987:PG, author = "R. K. Guy and C. B. Lacampagne and J. L. Selfridge", title = "Primes at a Glance", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "183--202", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A41", MRnumber = "87m:11008", MRreviewer = "T. M. Apostol", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math. Stat., Calgary Univ., Alta., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; presentations of integers; primality test; prime numbers; square-freedom; squarefreeness test", treatment = "T Theoretical or Mathematical", } @Article{Koblitz:1987:ECC, author = "Neal Koblitz", title = "Elliptic Curve Cryptosystems", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "203--209", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "94A60 (11T71 11Y16 68P25)", MRnumber = "88b:94017", MRreviewer = "Harald Niederreiter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/crypto.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B6120B (Codes); C1160 (Combinatorial mathematics); C1260 (Information theory)", corpsource = "Dept. of Math., Washington Univ., Seattle, WA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cryptography; cryptosystems; cyclic; elliptic curve; elliptic curves over finite fields; global point; group theory; key cryptosystems; multiplicative group; nonsmoothness; number theory; primitive points; public; subgroup", treatment = "T Theoretical or Mathematical", } @Article{Lehmer:1987:CR, author = "D. H. Lehmer and Emma Lehmer", title = "Cyclotomic Resultants", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "211--216", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T21", MRnumber = "88c:11075", MRreviewer = "A. L. Whiteman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cubic residues; cyclotomic; cyclotomic period polynomials; cyclotomic resultants; eth; multiprecision system; number theory; numbers; polynomials; power character; quartic residues", treatment = "T Theoretical or Mathematical", } @Article{Lenstra:1987:PNB, author = "H. W. {Lenstra, Jr.} and R. J. Schoof", title = "Primitive Normal Bases for Finite Fields", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "217--231", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T30 (12E20)", MRnumber = "88c:11076", MRreviewer = "Jacques Wolfmann", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Inst. Math., Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "extension; finite; finite fields; number theory; primitive normal bases; primitive roots", treatment = "T Theoretical or Mathematical", } @Article{Mollin:1987:CNQ, author = "R. A. Mollin", title = "Class numbers of quadratic fields determined by solvability of {Diophantine} equations", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "233--242", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R11 (11R29)", MRnumber = "88a:11105", MRreviewer = "Charles J. Parry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math. and Stat., Calgary Univ., Alta., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class; Diophantine equations; equations; imaginary quadratic fields; number theory; numbers; real quadratic fields; solvability", treatment = "T Theoretical or Mathematical", } @Article{Montgomery:1987:SPE, author = "Peter L. Montgomery", title = "Speeding the {Pollard} and elliptic curve methods of factorization", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "243--264", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (11A51 68Q40)", MRnumber = "88e:11130", MRreviewer = "Kevin S. McCurley", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Syst. Dev. Corp., Santa Monica, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; elliptic curve; elliptic curve method; elliptic curve methods; factorization; Lenstra method; Monte Carlo methods; number; number theory; parametrisation; Pollard methods; polynomial preconditioning; theory; Williams method", treatment = "T Theoretical or Mathematical", } @Article{Newman:1987:NVG, author = "Morris Newman and Robert C. Thompson", title = "Numerical Values of {Goldberg}'s Coefficients in the Series for $ \log (e^x e^y) $. With Microfiche Supplement", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "265--271", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "17B05 (11Y99 17-04)", MRnumber = "88i:17007", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Dept. of Math., California Univ., Santa Barbara, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "$\log(e^x e^y)$; Goldberg coefficients; infinite series; mathematics computing; noncommuting indeterminates; series (mathematics)", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Odlyzko:1987:DSB, author = "A. M. Odlyzko", title = "On the distribution of spacings between zeros of the zeta function", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "273--308", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M26 (11-04 11Y35)", MRnumber = "88d:11082", MRreviewer = "S. L. Segal", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "AT\&T Bell Labs., Murray Hill, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conjecture; Cray X-MP; Cray-1; eigenvalues; function; Montgomery pair correlation; number theory; poles and zeros; random Hermitian matrices; Riemann zeta; spacings between zeros", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Pohst:1987:CIE, author = "M. Pohst", title = "On Computing Isomorphisms of Equation Orders", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "309--314", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R09 (11-04 11Y40)", MRnumber = "88b:11066", MRreviewer = "Richard T. Bumby", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Dusseldorf Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number fields; equation orders; geometry; isomorphisms; number theory; number-geometric method", treatment = "T Theoretical or Mathematical", } @Article{Pomerance:1987:VSP, author = "Carl Pomerance", title = "Very Short Primality Proofs", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "315--322", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11Y16)", MRnumber = "88b:11088", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Georgia Univ., Athens, GA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; number theory; primality proofs; prime numbers; time complexity", treatment = "T Theoretical or Mathematical", } @Article{teRiele:1987:SD, author = "Herman J. J. {te Riele}", title = "On the Sign of the Difference $ \pi (x) - \mathrm {li}(x) $", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "323--328", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y35 (11M06)", MRnumber = "88a:11135", MRreviewer = "H. J. Godwin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Center for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex; Lehmann method; number theory; pi (; prime numbers; Riemann hypothesis; Riemann zera function; sign of the difference; successive integers; x)-li( x); zeros", treatment = "T Theoretical or Mathematical", } @Article{Silverman:1987:MPQ, author = "Robert D. Silverman", title = "The Multiple Polynomial Quadratic Sieve", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "329--339", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05", MRnumber = "88c:11079", MRreviewer = "Torleiv Kl{\o}ve", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/crypto.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "MITRE Corp., Bedford, MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; large-integer factoring; multiple polynomial quadratic; number theory; parallel; parallel algorithms; Pomerance quadratic sieve; sieve", treatment = "T Theoretical or Mathematical", } @Article{Tanner:1987:NCB, author = "Jonathan W. Tanner and Samuel S. {Wagstaff, Jr.}", title = "New Congruences for the {Bernoulli} Numbers", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "341--350", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B68 (11D41 11Y50)", MRnumber = "87m:11017", MRreviewer = "Wells Johnson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Sch. of Med., Pennsylvania Univ., Philadelphia, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "205 computer; Bernoulli numbers; Cyber; Fermat's last theorem; new congruence; number theory; prime; regularity testing; Vandiver congruences", treatment = "T Theoretical or Mathematical", } @Article{Tschope:1987:CNT, author = "Heinz M. Tsch{\"o}pe and Horst G. Zimmer", title = "Computation of the {N{\'e}ron--Tate} height on elliptic curves", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "351--370", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "14G25 (11D25 11Y50 14K15)", MRnumber = "87m:14025", MRreviewer = "Joseph H. Silverman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Fachbereich Math., Saarlandes Univ., Saarbrucken, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Birch/Swinnerton-Dyer conjecture; elliptic curves; Lang conjectures; Neron reduction theory; Neron-; number theory; rank-one Bremner-Cassels curves; Tate height", treatment = "T Theoretical or Mathematical", } @Article{Washington:1987:CNS, author = "Lawrence C. Washington", title = "Class Numbers of the Simplest Cubic Fields", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "371--384", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11R20 14K07)", MRnumber = "88a:11107", MRreviewer = "R. A. Mollin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2-; 2-Sylow subgroups; class; class number; cyclic cubic fields; descents on elliptic curves; group theory; groups; number theory; quartic fields; simplest cubic fields", treatment = "T Theoretical or Mathematical", } @Article{Williams:1987:EPT, author = "H. C. Williams", title = "Effective primality tests for some integers of the forms $ {A5}^n - 1 $ and $ {A7}^n - 1 $", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "385--403", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A51)", MRnumber = "88b:11089", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; Lucas functions; number theory; polynomial time prime tests; primality tests", treatment = "T Theoretical or Mathematical", } @Article{Williams:1987:PGR, author = "H. C. Williams and M. C. Wunderlich", title = "On the parallel generation of the residues for the continued fraction factoring algorithm", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "405--423", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05", MRnumber = "88i:11099", MRreviewer = "Hans G. Kopetzky", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; continued fraction factoring; irrational number; Massively Parallel Processor; number theory; parallel algorithms; parallel residue-generation; quadratic", treatment = "T Theoretical or Mathematical", } @Article{Zagier:1987:LIP, author = "Don Zagier", title = "Large Integral Points on Elliptic Curves", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "425--436", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G05 (11D25 11Y50)", MRnumber = "87k:11062", MRreviewer = "Andrew Bremner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Max Planck Inst. fur Math., Bonn, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; Diophantine equations; elliptic curves; integral; integral point; large; number theory; parametric families; polynomial time complexity; solutions", treatment = "T Theoretical or Mathematical", } @Article{Pereira:1987:CEC, author = "N. Costa Pereira", title = "Corrigendum: {``Estimates for the Chebyshev function $ \psi (x) - \theta (x) $''} {[Math. Comp. {\bf 44} (1985), no. 169, 211--221, MR 86k:11005]}", journal = j-MATH-COMPUT, volume = "48", number = "177", pages = "447--447", month = jan, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25 (11N45 11Y35 33A70)", MRnumber = "87k:11006", bibdate = "Thu Jun 15 07:27:03 2000", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", note = "See \cite{Pereira:1985:ECF}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Atkinson:1987:SDG, author = "Kendall Atkinson and Alex Bogomolny", title = "Supplement to The Discrete {Galerkin} Method for Integral Equations", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "S11--S15", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gartland:1987:SUH, author = "Eugene C. {Gartland, Jr.}", title = "Supplement to Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "S5--S9", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hagstrom:1987:ABC, author = "T. M. Hagstrom and H. B. Keller", title = "Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "449--470", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N99 (35A35 35J25)", MRnumber = "88d:65173", MRreviewer = "Stavros A. Belbas", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Maths., State Univ. of New York, Stony Brook, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic boundary conditions; boundary conditions; boundary-value problems; Bratu problem; critical parameter value; difference scheme; dimensional stepped channel; exact; finite-; Laplace transform solution; nonlinear differential equations; nonlinear elliptic boundary; numerical experiments; partial differential equations; semi-infinite cylindrical domains; two-; value problems", treatment = "T Theoretical or Mathematical", } @Article{Auzinger:1987:DCM, author = "Winfried Auzinger", title = "Defect corrections for multigrid solutions of the {Dirichlet} problem in general domains", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "471--484", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65B05 (65N20)", MRnumber = "88b:65010", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. fur Angewandte und Numerische Math. Tech. Univ. Wien, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analogues; boundary-value problems; convergence of numerical methods; convergence proof; convex; defect correction; Dirichlet problem; discrete solutions; elliptic boundary value problems; finite-difference; general domains; Helmholtz equation; iterative methods; multigrid solutions; nonrectangular domains; partial differential equations; polygonal domains", treatment = "T Theoretical or Mathematical", } @Article{Saranen:1987:LEE, author = "Jukka Saranen", title = "Local error estimates for some {Petrov--Galerkin} methods applied to strongly elliptic equations on curves", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "485--502", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (35S99 45J05 65L10 65N35)", MRnumber = "88m:65208", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Dept. of Maths., Oulu Univ., Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary; boundary-elements methods; collocation method; curves; discretization model; element solution; equations; error analysis; error estimates; integral; integral equations; local error estimates; Petrov--Galerkin methods; Sobolev norms; splines; splines (mathematics); strongly elliptic equations; trial functions", treatment = "T Theoretical or Mathematical", } @Article{Goldberg:1987:CSC, author = "Moshe Goldberg and Eitan Tadmor", title = "Convenient stability criteria for difference approximations of hyperbolic initial-boundary value problems. {II}", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "503--520", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "88i:65109", MRreviewer = "V. D. Glushenkov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Maths., Technion Israel Inst. of Technol., Haifa, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; convergence of numerical methods; difference approximations; difference equations; finite-difference; hyperbolic; initial value problems; initial-boundary value problems; stability criteria", treatment = "T Theoretical or Mathematical", } @Article{Crouzeix:1987:SPF, author = "M. Crouzeix and V. Thom{\'e}e", title = "The Stability in $ {L}_p $ and $ {W}_p^1 $ of the $ {L}_2$-Projection onto Finite Element Function Spaces", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "521--532", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15 (41A35 65N10 65N30)", MRnumber = "88f:41016", MRreviewer = "Dietrich Braess", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Rennes Univ., France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; finite element analysis; finite element function; L/sub 2/-projection; quasi-uniformity; spaces; stability; triangulations", treatment = "T Theoretical or Mathematical", } @Article{Mattheij:1987:CSB, author = "R. M. M. Mattheij", title = "On the computation of solutions of boundary value problems on infinite intervals", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "533--549", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10", MRnumber = "88f:65125", MRreviewer = "Ian Gladwell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Maths., Catholic Univ., Nijmegen, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; bounded; differential equations; exponentially growing solutions; infinite intervals; matrix; multiple shooting type algorithm; ODE; polynomially growing solutions; solution manifold; unstable manifold", treatment = "T Theoretical or Mathematical", } @Article{Gartland:1987:UHO, author = "Eugene C. {Gartland, Jr.}", title = "Uniform high-order difference schemes for a singularly perturbed two-point boundary value problem", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "551--564, S5--S9", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (34B05 34E15)", MRnumber = "89a:65116", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 Maths., Southern Methodist Univ., Dallas, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; boundary-value problems; difference equations; discretization error analysis; error; function approximation; high-order difference schemes; numerical approximation; perturbation techniques; singularly perturbed two-point boundary value problem; stability results", treatment = "T Theoretical or Mathematical", } @Article{Neubauer:1987:FDA, author = "A. Neubauer", title = "Finite-dimensional approximation of constrained {Tikhonov-regularized} solutions of ill-posed linear operator equations", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "565--583", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J10 (65R20)", MRnumber = "88g:65060", MRreviewer = "Charles W. Groetsch", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Math., Johannes-Kepler Univ., Linz, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximation error; closed convex set; constrained Tikhonov-; convergence of numerical methods; error analysis; finite-dimensional approximation; Fredholm integrals; function; Hilbert space; ill-posed linear operator equations; regularized solutions", treatment = "T Theoretical or Mathematical", } @Article{Kumar:1987:NCT, author = "Sunil Kumar and Ian H. Sloan", title = "A new collocation-type method for {Hammerstein} integral equations", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "585--593", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45G10)", MRnumber = "88e:65162", MRreviewer = "Baruch Cahlon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Sch. of Math., New South Wales Univ., Sydney, NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "collocation approximation; collocation-type method; convergence; convergence of numerical methods; direct; equations; equivalent equation; exact equation; Hammerstein integral; integral equations", treatment = "T Theoretical or Mathematical", } @Article{Atkinson:1987:DGM, author = "Kendall Atkinson and Alex Bogomolny", title = "The discrete {Galerkin} method for integral equations", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "595--616, S11--S15", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "88k:65125", MRreviewer = "Christopher T. H. Baker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 = "Dept. of Maths., Iowa Univ., Iowa City, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discrete Galerkin method; error analysis; finite element analysis; finite element Galerkin methods; Fredholm; integral equations; integration; iterated Galerkin; iterative methods; numerical integration; Nystrom solution; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Berrut:1987:ENM, author = "Jean-Paul Berrut and Manfred R. Trummer", title = "Equivalence of {Nystr{\"o}m}'s method and {Fourier} methods for the numerical solution of {Fredholm} integral equations", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "617--623", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "45L10 (42A10 65R20)", MRnumber = "88e:45018", MRreviewer = "Frank G. Hagin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 = "Dept. of Maths., California Univ., San Diego, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; arbitrary orthogonal basis functions; collocation points; error analysis; error estimates; Fourier methods; Fredholm integral equations; Gramian matrix; integral equations; integration; numerical integration; numerical solution; Nystrom methods; quadrature rule; trapezoidal rule", treatment = "T Theoretical or Mathematical", } @Article{Gladwin:1987:ACO, author = "C. J. Gladwin", title = "An algorithm for the construction of optimal methods for the numerical solution of {Volterra} integral equations of the first kind", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "625--632", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45D05)", MRnumber = "88d:65181", MRreviewer = "H. Brunner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "explicit algorithm; integral equations; numerical solution; optimal methods; polynomials; stability; Volterra integral equations", treatment = "T Theoretical or Mathematical", } @Article{deGee:1987:LMM, author = "Maarten {de Gee}", title = "Linear multistep methods for functional-differential equations", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "633--649", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65Q05", MRnumber = "88f:65227", MRreviewer = "V. L. Bakke", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Agric. Univ., Wageningen, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic behavior; equations; error analysis; exact solution; functional differential; functional equations; global discretization error; linear multistep methods; Milne device, numerical methods; nonsmoothness", treatment = "T Theoretical or Mathematical", } @Article{Saad:1987:LMS, author = "Youcef Saad", title = "On the {L{\'a}nczos} Method for Solving Symmetric Systems with Several Right-Hand Sides", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "651--662", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (65F50)", MRnumber = "88d:65066", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "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 = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; block; conjugate gradient algorithms; error analysis; error bound; Galerkin technique; Krylov subspace; Lanczos method; linear systems; matrix algebra; orthogonalization; projection process; right-hand; sides; sparse symmetric linear systems; symmetric", kwds = "nla, Lanczos algorithm, linear system", treatment = "T Theoretical or Mathematical", } @Article{Nour-Omid:1987:HIS, author = "Bahram Nour-Omid and Beresford N. Parlett and Thomas Ericsson and Paul S. Jensen", title = "How to Implement the Spectral Transformation", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "663--673", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F15", MRnumber = "88f:65062", MRreviewer = "William W. Hager", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Lockheed Palo Alto, Res. Lab., CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; eigenpairs; eigenvalue equations; eigenvalues and eigenfunctions; factorization; inverse; iteration; iterative methods; Lanczos algorithm; linear; matrix; numerical methods; Ritz vectors; spectral transformation; symmetric matrices; transformation step", treatment = "T Theoretical or Mathematical", } @Article{Jia:1987:BPS, author = "Rong Qing Jia", title = "{$ L^\infty $}-boundedness of {$ L^2 $}-projections on splines for a multiple geometric mesh", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "675--690", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15 (15A60)", MRnumber = "88e:41032", MRreviewer = "Manfred Sommer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Math. Res. Center, Wisconsin Univ., Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "geometric mesh; L/sub 2/-projections; matrix algebra; mesh ratio; multiple; normed linear space; polynomial splines; polynomials; splines; splines (mathematics); Toeplitz matrices", treatment = "T Theoretical or Mathematical", } @Article{Jing:1987:ACC, author = "Zhongqi Jing and Adly T. Fam", title = "An algorithm for computing continuous {Chebyshev} approximations", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "691--710", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (41A46 41A50)", MRnumber = "88c:65021", MRreviewer = "G. D. Taylor", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Radio-Electron. Univ. of Sci. and Technol. of China, Hefei, China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic functions; approximations; Chebyshev approximation; continuous Chebyshev approximations; convergence; convergence of numerical methods; discretized set; method; nondegenerate rational; numerical examples; polynomial; Remez exchange; successive linearizations", treatment = "T Theoretical or Mathematical", } @Article{Chui:1987:CIM, author = "C. K. Chui and K. Jetter and J. D. Ward", title = "Cardinal Interpolation by Multivariate Splines", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "711--724", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A05 (41A15 41A63)", MRnumber = "88f:41003", MRreviewer = "L. L. Schumaker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A-M Univ., College Station, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cardinal; commutator; interpolation; local approximation orders; locally supported piecewise polynomials; Marsden identity; multivariate splines; numerical approximation; polynomials; quasi-interpolants; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Criscuolo:1987:CIP, author = "Giuliana Criscuolo and Giuseppe Mastroianni", title = "On the convergence of an interpolatory product rule for evaluating {Cauchy} principal value integrals", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "725--735", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "88m:65038", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Istitutoper Appl. della Matematica, CNR, Napoli, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic estimates; Cauchy principle value integrals; convergence; convergence of numerical methods; function evaluation; integral equations; integral evaluation; interpolation; interpolatory product; rule", treatment = "T Theoretical or Mathematical", } @Article{Johnsen:1987:CBM, author = "Ben Johnsen and Eldar Straume", title = "Counting binary matrices with given row and column sums", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "737--750", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05A15 (05B20 05C30)", MRnumber = "88h:05013", MRreviewer = "Dennis Stanton", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Inst. of Math. and Phys. Sci., Troms. Univ., Norway", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "binary matrices; binary rectangular matrices; column sums; combinatorial problems; complexity; computational complexity; graph; graph theory; labelled graphs; matrix algebra; nonnegative integers; numerical invariant; theory; vectors; vertex degree sequence", treatment = "T Theoretical or Mathematical", } @Article{Kiss:1987:PR, author = "P{\'e}ter Kiss and Bui Minh Phong", title = "On a Problem of {A}. Rotkiewicz", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "751--755", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A51 (11A05)", MRnumber = "88d:11004", MRreviewer = "Graham Lord", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Teacher's Training Coll., Eger, Hungary", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "composite; fixed positive integers; integers; number theory; pseudoprime numbers", treatment = "T Theoretical or Mathematical", } @Article{Seysen:1987:PFA, author = "Martin Seysen", title = "A probabilistic factorization algorithm with quadratic forms of negative discriminant", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "757--780", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (11E32 68Q25)", MRnumber = "88d:11129", MRreviewer = "H. J. Godwin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discriminant; Extended Riemann; factorization algorithm; heuristic assumptions; Hypothesis; integer factorization; Las Vegas algorithms; negative; number theory; probabilistic; probability; quadratic forms", treatment = "T Theoretical or Mathematical", } @Article{Girstmair:1987:IPT, author = "Kurt Girstmair", title = "On invariant polynomials and their application in field theory", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "781--797", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12-04 (12F10 20B99)", MRnumber = "88i:12001", MRreviewer = "Jacques Calmet", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Math., Innsbruck Univ., Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational methods; description; explicit; field theory; G-; Galois theory; invariant polynomials; permutation group; polynomials; sextic algebraic equations", treatment = "T Theoretical or Mathematical", } @Article{Moody:1987:CCD, author = "R. V. Moody and J. Patera", title = "Computation of character decompositions of class functions on compact semisimple {Lie} groups", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "799--827", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "22E46", MRnumber = "88e:22023", MRreviewer = "A. U. Klimyk", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Concordia Univ., Montreal, Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm theory; branching rules; character decomposition; characters; class functions; compact semisimple Lie groups; conjugacy classes; decomposition; decompositions; elements of finite order; group theory; irreducible; matrix; matrix algebra; matrix multiplication; orbit sums; products; representation theory; symmetry classes; tensor; tensors; Weyl groups", treatment = "T Theoretical or Mathematical", } @Article{Philip:1987:TES, author = "J. R. Maclaurin Philip", title = "Table errata: {``The symmetrical Euler-summation formula''} {[Math. Sci. {\bf 6} (1981), no. 1, 35--41, MR 82g:40002]}", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "851--851", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "40A25 (65B15)", MRnumber = "88b:40002", bibdate = "Wed Jan 15 09:19:38 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Lewanowicz:1987:CRR, author = "Stanis{\l}aw Lewanowicz", title = "Corrigendum: {``Recurrence relations for hypergeometric functions of unit argument''} {[Math. Comp. {\bf 45} (1985), no. 172, 521--535, MR 86m:33004]}", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "853--853", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A35 (65Q05)", MRnumber = "88a:33013", bibdate = "Wed Jan 15 09:19:34 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gramain:1987:CCA, author = "Fran{\c{c}}ois Gramain", title = "Corrigendum: {``Computing an arithmetic constant related to the ring of Gaussian integers''} {[Math. Comp. {\bf 44} (1985), no. 169, 241--250, MR 87a:11028] by Gramain and M. Weber}", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "854--854", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D99 (11J99 11Y60 30D15)", MRnumber = "88a:11034", bibdate = "Wed Jan 15 09:19:31 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Milovanovic:1987:CLS, author = "G. V. Milovanovi{\'c}", title = "Corrigendum: {``Least squares approximation with constraints''}", journal = j-MATH-COMPUT, volume = "48", number = "178", pages = "854--854", month = apr, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (41A30)", MRnumber = "88c:65023b", MRreviewer = "Hans-J{\"u}rgen Albrand", bibdate = "Wed Jan 15 09:19:36 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Coleman:1987:SFP, author = "John P. Coleman and Russel [sic] A. Smith", title = "Supplement to ``{The Faber Polynomials for Circular Sectors}''", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "S1--S4", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", xxnote = "The second author's correct first name is Russell, but it was misspelled on the journal title page.", } @Article{Bramble:1987:CPE, author = "James H. Bramble and Joseph E. Pasciak and Alfred H. Schatz", title = "The construction of preconditioners for elliptic problems by substructuring, {II}", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "1--16", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F10)", MRnumber = "88j:65248", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; approximation; approximation theory; boundary-value problems; condition number; decomposition techniques; discrete systems; domain; elliptic boundary value problems; environments; mesh size; parallel computing; preconditioned system; singularly perturbed problems; subdomain size; substructuring; three-dimensions problems", kwds = "nla, preconditioning", treatment = "T Theoretical or Mathematical", } @Article{Duran:1987:QOE, author = "Ricardo G. Dur{\'a}n", title = "Quasi-optimal estimates for finite element approximations using {Orlicz} norms", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "17--23", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "88d:65160", MRreviewer = "John Stephenson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Chicago Univ., IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; boundary-value problems; Dirichlet problem; element analysis; elements; error; exponential function; finite; finite element approximations; infinite norm; linear finite; optimal order estimates; Orlicz; Orlicz norms; quasi-optimal uniform estimates; second derivatives; spaces", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1987:CSP, author = "C. Johnson and A. H. Schatz and L. B. Wahlbin", title = "Crosswind smear and pointwise errors in streamline diffusion finite element methods", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "25--38", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (35B25)", MRnumber = "88i:65130", MRreviewer = "R. Schumann", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340G (Fluid dynamics: general mathematical aspects); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "artificial crosswind diffusion; computational complexity; convection; crosswind smear; diffusion; element analysis; finite; local smoothness assumptions; model convection-dominated singularly; numerical streamline diffusion finite element method; partial differential equations; perturbed convection-diffusion problem; piecewise linear elements; pointwise accuracy; pointwise errors", treatment = "T Theoretical or Mathematical", } @Article{Engquist:1987:SSC, author = "Bj{\"o}rn Engquist and Bertil Gustafsson", title = "Steady state computations for wave propagation problems", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "39--64", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (76-08)", MRnumber = "88e:65113", MRreviewer = "James A. Schmitt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340K (Waves and wave propagation: general mathematical aspects); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "advection equation; approximation theory; characteristic boundary; conditions; convergence of numerical methods; convergence rate; difference approximations; difference equations; difference formulas; equations; hyperbolic; linearized Euler; partial differential equations; propagation; propagation problems; rate of convergence; steady state; steady state calculations; steady state computations; time; upwind difference methods; wave", treatment = "T Theoretical or Mathematical", } @Article{Higdon:1987:NAB, author = "Robert L. Higdon", title = "Numerical absorbing boundary conditions for the wave equation", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "65--90", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N05 (35L05)", MRnumber = "88f:65168", MRreviewer = "E. Schechter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340K (Waves and wave propagation: general mathematical aspects); A0365G (Solutions of wave equations: bound state); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Oregon State Univ., Corvallis, OR, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; approximations; boundary-value problems; difference; discrete boundary conditions; discretization; equations; numerical absorbing boundary conditions; operators; reflection analysis; scalar wave equation; space dimensions; stability analysis; wave", treatment = "T Theoretical or Mathematical", } @Article{Tadmor:1987:NVE, author = "Eitan Tadmor", title = "The numerical viscosity of entropy stable schemes for systems of conservation laws. {I}", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "91--103", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35L65)", MRnumber = "88k:65087", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0570C (Thermodynamic functions and equations of state); A1130 (Symmetry and conservation laws); C4130 (Interpolation and function approximation)", corpsource = "Sch. of Math. Sci., Tel-Aviv Univ., Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; comparison; conservation laws; conservative schemes; discrete approximations; element analysis; entropy; entropy conservative schemes; entropy stable; finite; hyperbolic systems; mesh configurations; numerical viscosity; order accuracy; piecewise linear finite element methods; schemes; second-; three-point schemes; viscosity", treatment = "T Theoretical or Mathematical", } @Article{Shu:1987:TUH, author = "Chi-Wang Shu", title = "{TVB} uniformly high-order schemes for conservation laws", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "105--121", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (35L65 65M10)", MRnumber = "89b:65208", MRreviewer = "M. K. Kadalbajoo", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A1130 (Symmetry and conservation laws)", corpsource = "Inst. for Math. and Applications, Minnesota Univ., Minneapolis, MN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conservation laws; critical; high-order accuracy; points; space; total-; TVB uniformly high-order schemes; variation-bounded", treatment = "T Theoretical or Mathematical", } @Article{Shu:1987:TBT, author = "Chi-Wang Shu", title = "{TVB} boundary treatment for numerical solutions of conservation laws", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "123--134", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N05 (35L65)", MRnumber = "88h:65179", MRreviewer = "Alexander Doktor", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. for Math. and Applications, Minnesota Univ., Minneapolis, MN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary treatment; conservation laws; extrapolation; high-order scheme; hyperbolic; initial value; initial value problems; linear systems; numerical solutions; problems; scalar nonlinear case; total-variation-bounded; TVB boundary treatment; upwind treatment", treatment = "T Theoretical or Mathematical", } @Article{Spekreijse:1987:MSM, author = "Stefan P. Spekreijse", title = "Multigrid solution of monotone second-order discretizations of hyperbolic conservation laws", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "135--155", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N05 (35L65 76G15)", MRnumber = "88d:65140", MRreviewer = "John C. Strikwerda", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A1130 (Symmetry and conservation laws); C4170 (Differential equations)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cells; conservation laws; differential equations; discrete steady-state; equations; five-point block; hyperbolic; monotone second-order discretizations; monotonicity; multigrid solution; nine-point stencil; schemes; second-order 2D upwind discretization; second-order accurate monotone upwind; smoothing rates; stencil; symmetric block Gauss--Seidel; underrelaxation", treatment = "T Theoretical or Mathematical", } @Article{Tsuchiya:1987:DSP, author = "Takuya Tsuchiya", title = "Discrete solution of the {Plateau} problem and its convergence", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "157--165", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "49F10 (49D15)", MRnumber = "88i:49032", MRreviewer = "Michael T. Anderson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0240 (Geometry, differential geometry, and topology); A0260 (Numerical approximation and analysis); C1160 (Combinatorial mathematics); C4180 (Integral equations)", corpsource = "Dept. of Math., Kyushu Univ., Fukuoka, Japan", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "contour; convergence; convergence of numerical methods; discrete solution; Plateau problem; topology", treatment = "T Theoretical or Mathematical", } @Article{Eriksson:1987:CAN, author = "Kenneth Eriksson and Yi Yong Nie", title = "Convergence analysis for a nonsymmetric {Galerkin} method for a class of singular boundary value problems in one space dimension", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "167--186", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N10 (65N30)", MRnumber = "88h:65182", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; boundary-value problems; convergence; convergence analysis; error estimation; individual; local mesh; maximum norm; nodal points; nonsymmetric Galerkin method; of numerical methods; one space dimension; problems; singular boundary value; smooth solution; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Kearfott:1987:AGB, author = "R. Baker Kearfott", title = "Abstract Generalized Bisection and a Cost Bound", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "187--202", month = jul, year = "1987", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008257", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10 (Systems of nonlinear equations (numerical methods)); 65K05 (Mathematical programming (numerical methods)); 90C30 (Nonlinear programming); 68Q25 (Analysis of algorithms and problem complexity)", MRnumber = "88h:65109", MRreviewer = "T. L. Freeman", bibdate = "Tue Aug 24 09:36:53 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/k/kearfott-r-baker.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", ZMnumber = "0632.65055", abstract = "The purpose of this paper is to study desirable properties of binary search algorithms for isolating all solutions to nonlinear systems of equations $ F(X) = 0 $ within a given compact domain $ D \in \Bbb R \sp n $. We devise a general framework such that any algorithm fitting into the general framework will always isolate all solutions $ Z \in D $ such that $ F(Z) = 0 $; this framework contains a new idea for handling the occurrence of roots on boundaries. We then present and prove a bound on the total amount of computation which is valid for any algorithm in the class. \par Finally, we define a specific prototypical algorithm valid for $F$ satisfying certain natural smoothness properties; we show that it satisfies the hypotheses for the general framework. This algorithm is based on ``bisection'' of generalized rectangles, the Kantorovich theorem, and second-order Taylor type models for $F$. It is meant to provide further guidelines for the development of effective heuristics, etc., for actual implementations.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4200 (Computer theory)", corpsource = "Dept. of Math., Southwestern Louisiana Univ., Lafayette, LA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abstract generalized bisection; analysis of algorithms; binary search algorithms; bound; boundaries; compact domain; computation; computation theory; cost bound; desirable properties; framework; generalized bisection; generalized rectangles; global optimization; heuristics; Kantorovich theorem; natural smoothness; nonlinear equations systems; properties; prototypical algorithm; roots; second-order Taylor type models", reviewer = "E. Allgower", treatment = "T Theoretical or Mathematical", } @Article{Yan:1987:PCC, author = "Zheng Yan", title = "Piecewise Cubic Curve Fitting Algorithm", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "203--213", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D10", MRnumber = "88j:65037", MRreviewer = "S. Dubuc", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Sch. of Math., Georgia Inst. of Technol., Atlanta, GA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; curve fitting; linear techniques; monotonicity; piecewise cubic curve fitting algorithm; piecewise-", treatment = "T Theoretical or Mathematical", } @Article{Mjolsness:1987:SPC, author = "R. C. Mjolsness and Blair Swartz", title = "Some Plane Curvature Approximations", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "215--230", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (65D25 65M05 65N05)", MRnumber = "88g:65017", MRreviewer = "J. G. Herriot", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "T-Div., California Univ., Los Alamos Nat. Lab., NM, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accurate estimates; approximation theory; approximations; continuous; curvature estimates; curvature function; curve fitting; finite form; hydrodynamic simulations; immediate; invariant; local information; mesh; neighbors; plane curvature; rotation; second-order; second-order accurate approximations; smooth plane curve; surface tension forces; translation", treatment = "T Theoretical or Mathematical", } @Article{Coleman:1987:FPC, author = "John P. Coleman and Russell A. Smith", title = "The {Faber} Polynomials for Circular Sectors", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "231--241, S1--S4", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30C30 (30E10 65D20 65E05)", MRnumber = "88e:30022", MRreviewer = "Thomas McCoy", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Sci., Durham Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic functions; approximation theory; Chebyshev polynomials; circular sectors; coefficients; complement; complex plane; conformal; Faber polynomials; Laurent expansion; mapping; norms; point in infinity; polynomial approximation; polynomials; recurrence relation; unit disc", treatment = "T Theoretical or Mathematical", } @Article{Banerjee:1987:AEI, author = "U. Banerjee and L. J. Lardy and A. Lutoborski", title = "Asymptotic expansions of integrals of certain rapidly oscillating functions", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "243--249", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A55 (41A60)", MRnumber = "88e:41063", MRreviewer = "Roderick Wong", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations)", corpsource = "Dept. of Math., Syracuse Univ., NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansions; certain rapidly; function; integrable rapidly oscillating; integral equations; integrals; oscillating functions; smooth function", treatment = "T Theoretical or Mathematical", } @Article{Forster:1987:WFA, author = "Klaus-J{\"u}rgen F{\"o}rster", title = "On Weight Functions Admitting {Chebyshev} Quadrature", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "251--258", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55)", MRnumber = "89b:65061", MRreviewer = "K. Jetter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Inst. fur Angewandte Math., Tech. Univ. Braunschweig, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev quadrature rules; integration; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Okecha:1987:QFC, author = "G. E. Okecha", title = "Quadrature formulae for {Cauchy} principal value integrals of oscillatory kind", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "259--268", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55)", MRnumber = "88j:65060", MRreviewer = "Anton Hut'a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Dept. of Math., Calabar Univ., Nigeria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abscissa; Cauchy principal value integrals; coincident; error bound; integral equations; integration; interpolation formula; interval; Lagrangian; numerical quadrature rules; oscillatory kind; polynomials; quadrature formulae; simple pole", treatment = "T Theoretical or Mathematical", } @Article{Lavoie:1987:SSF, author = "J. L. Lavoie", title = "Some Summation Formulas for the Series $_3 {F}_2 (1)$", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "269--274", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A30 (33A15)", MRnumber = "88f:33002", MRreviewer = "H. M. Srivastava", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1100 (Mathematical techniques)", corpsource = "Dept. de Math. and Stat., Laval Univ., Quebec, Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "generalized; hypergeometric series; limiting cases; series (mathematics); summation formulas; Watson; Whipple", treatment = "T Theoretical or Mathematical", } @Article{Stoyanov:1987:AE, author = "Basil J. Stoyanov and Richard A. Farrell", title = "On the Asymptotic Evaluation of $ \int^{\pi / 2}_0 {J}^2_0 (\gamma \sin x) d x $", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "275--279", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A60 (65D30)", MRnumber = "88e:41067", MRreviewer = "Roderick Wong", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1120 (Analysis); C4180 (Integral equations)", corpsource = "Appl. Phys. Lab., Johns Hopkins Univ., Laurel, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytical expression; asymptotic behavior; asymptotic evaluation; Bessel functions; first kind; integral; integral equations; order Bessel function; positive parameter; zeroth-", treatment = "T Theoretical or Mathematical", } @Article{Ernvall:1987:MCI, author = "R. Ernvall and T. Mets{\"a}nkyl{\"a}", title = "A method for computing the {Iwasawa} $ \lambda $-invariant", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "281--294", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R20 11R23 11Y40)", MRnumber = "88i:11080", MRreviewer = "Wells Johnson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Turku Univ., Finland", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Abelian field; cyclotomic field; Iwasawa lambda -invariant; minus-part; number theory; odd; primes; quadratic extensions", treatment = "T Theoretical or Mathematical", } @Article{Cherubini:1987:CAI, author = "Juergen M. Cherubini and Rolf V. Wallisser", title = "On the computation of all imaginary quadratic fields of class number one", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "295--299", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11R11)", MRnumber = "88e:11111", MRreviewer = "K. S. Williams", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Albert-Ludwigs-Univ., Freiburg, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class number one; computation; continued fraction; discriminant; imaginary quadratic field; linear form; number theory", treatment = "T Theoretical or Mathematical", } @Article{Ruck:1987:NEC, author = "Hans-Georg R{\"u}ck", title = "A Note on Elliptic Curves Over Finite Fields", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "301--304", month = jul, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G20 (14G15 14K15)", MRnumber = "88d:11058", MRreviewer = "Joseph H. Silverman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Arizona Univ., Tucson, AZ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "curve fitting; elliptic curves; finite fields; rational points", treatment = "T Theoretical or Mathematical", } @Article{Carlson:1987:STE, author = "B. C. Carlson", title = "Supplement to {A} Table of Elliptic Integrals of the Second Kind", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "S13--S17", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Gfrerer:1987:SPP, author = "Helmut Gfrerer", title = "Supplement to An {A} Posteriori Parameter Choice for Ordinary and Iterated {Tikhonov} Regularization of Ill-Posed Problems Leading to Optimal Convergence Rates", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "S5--S12", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1987:NCE, author = "James H. Bramble and Joseph E. Pasciak", title = "New Convergence Estimates for Multigrid Algorithms", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "311--329", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65Nxx (65F10)", MRnumber = "89b:65234", MRreviewer = "David C. Arney", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; convergence estimates; convergence of numerical methods; difference equations; differential equations; FEM; finite differences; finite element analysis; generalised nu cycle algorithm; iteration; iterative methods; multigrid; partial; relaxation theory; relaxations; smoothings; symmetric positive definite problems", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1987:EES, author = "Claes Johnson and Stig Larsson and Vidar Thom{\'e}e and Lars B. Wahlbin", title = "Error estimates for spatially discrete approximations of semilinear parabolic equations with nonsmooth initial data", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "331--357", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N10 (65N30)", MRnumber = "88k:65100", MRreviewer = "E. Schechter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accuracy; analysis; boundary-value problems; error; error analysis; estimates; finite element; function approximation; Galerkin finite element; incompatible initial data; initial value problems; initial-boundary value problems; method; nonsmooth initial data; numerical; parabolic equations; partial differential equations; semilinear; smoothing; solution; time-continuous spatially-discrete approximations", treatment = "T Theoretical or Mathematical", } @Article{Crouzeix:1987:DTS, author = "Michel Crouzeix and Vidar Thom{\'e}e", title = "On the discretization in time of semilinear parabolic equations with nonsmooth initial data", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "359--377", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10", MRnumber = "89c:65102", MRreviewer = "J. T. Oden", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "UER Math. et Inf., Rennes Univ., France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; convergence of numerical methods; differential equation; equations; error analysis; error estimates; function; functional analysis; higher-order convergence; Hilbert space; linear positive definite operator; nonsmooth initial data; partial differential; semilinear parabolic equations; single-step time-discretisation methods", treatment = "T Theoretical or Mathematical", } @Article{Guirguis:1987:TOB, author = "Georges H. Guirguis", title = "A third-order boundary condition for the exterior {Stokes} problem in three dimensions", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "379--389", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76-08 76D07)", MRnumber = "89b:65265", MRreviewer = "H. D. Mittelmann", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4710 (General theory, simulation and other computational methods)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "3D exterior Stokes problem; approximating behavior; boundary-value problems; combined errors; condition; differential equations; error analysis; external flows; finite element analysis; finite subdomain; finite-element discretisation; function approximation; partial; problem; third-order artificial boundary; third-order boundary condition; truncated", treatment = "T Theoretical or Mathematical", } @Article{Shi:1987:FMT, author = "Zhong Ci Shi", title = "The {F--E--M} test for convergence of nonconforming finite elements", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "391--405", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "88g:65120", MRreviewer = "L. Greenberg", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4100 (Numerical analysis)", corpsource = "Dept. of Math., Univ. of Sci. and Technol. of China, Hefei, China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; convergence test; F-E-M-Test; finite element analysis; nonconforming finite elements", treatment = "T Theoretical or Mathematical", } @Article{Cottet:1987:CVC, author = "G. H. Cottet", title = "Convergence of a vortex in cell method for the two-dimensional {Euler} equations", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "407--425", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65P05 (35Q10 76-08 76N15)", MRnumber = "89b:65303", MRreviewer = "Max D. Gunzburger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4710 (General theory, simulation and other computational methods); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Centre de Math. Appl., Ecole Polytech., Palaiseau, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; error analysis; error estimate; flow; partial differential equations; simulation; twice-differentiable assignment function; two-dimensional Euler equations; vortex in cell method; vortices", treatment = "T Theoretical or Mathematical", } @Article{Johnson:1987:CFE, author = "Claes Johnson and Anders Szepessy", title = "On the convergence of a finite element method for a nonlinear hyperbolic conservation law", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "427--444", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (65M60)", MRnumber = "88h:65164", MRreviewer = "Martin Stynes", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4710 (General theory, simulation and other computational methods); A4740N (Shock-wave interactions)", corpsource = "Dept. of Math., Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Burgers; conservation laws; convergence; convergence of numerical methods; element analysis; entropy solution; equation; equations; finite; flow simulation; functions; Galerkin method; higher-order accurate finite-element method; Murat-Tartar compensated compactness result; nonlinear differential; nonlinear hyperbolic conservation law; partial differential equations; Petrov-; shock capturing; shock waves; streamline diffusion modification; test", treatment = "T Theoretical or Mathematical", } @Article{Michelson:1987:CTD, author = "Daniel Michelson", title = "Convergence Theorem for Difference Approximations of Hyperbolic Quasi-Initial-Boundary Value Problems", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "445--459", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N10 (65M10)", MRnumber = "88j:65233", MRreviewer = "M. M. Sussman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansion; boundary-value problems; convergence; convergence of numerical methods; difference equations; differential equations; dissipative difference approximations; initial value problems; multi-dimensional hyperbolic quasi-linear initial-boundary; partial; PDEs; value problems", treatment = "T Theoretical or Mathematical", } @Article{Costabel:1987:CCM, author = "Martin Costabel and Ernst P. Stephan", title = "On the convergence of collocation methods for boundary integral equations on polygons", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "461--478", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (65D07 65N35)", MRnumber = "88j:65292", MRreviewer = "Johannes Elschner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Fachbereich Math., Tech. Hochschule Darmstadt, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic error; boundary element; boundary integral equations; boundary-elements methods; collocation methods; convergence; convergence of numerical methods; error analysis; estimates; functional analysis; functions; graded meshes; integral equations; methods; Neumann integral equation; piecewise linear trial; piecewise-linear techniques; plane curves with corners; polygons; Sobolov norms; spline trial functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Chen:1987:BEN, author = "Goong Chen and Ying-Liang Tsai", title = "The boundary element numerical method for two-dimensional linear quadratic elliptic problems. {I}. {Neumann} control", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "479--498", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (49D40 93B40)", MRnumber = "89a:65145", MRreviewer = "J. T. Oden", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1340B (Multivariable systems); C1340J (Distributed parameter systems); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Math. and Oper. Res., Pennsylvania State Univ., University Park, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary element method; boundary-elements methods; control; convergence; convergence of numerical methods; distributed control; duality (mathematics); duality-boundary integral; equation scheme; error analysis; integral equations; Laplace equation; linear differential equations; multidimensional systems; multivariable control systems; Neumann control; numerical method; optimal error estimates; partial differential equations; piecewise constant boundary elements; problems; quadratic cost; two-dimensional distributed; two-dimensional linear quadratic elliptic", treatment = "T Theoretical or Mathematical", } @Article{Groetsch:1987:ATF, author = "C. W. Groetsch and C. R. Vogel", title = "Asymptotic theory of filtering for linear operator equations with discrete noisy data", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "499--506", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J10 (49D15 65R20)", MRnumber = "88j:65123", MRreviewer = "C. Ilioi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); B0290R (Integral equations); B6140 (Signal processing and detection); C1260 (Information theory); C4120 (Functional analysis); C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Cincinnati Univ., OH, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continuous kernels; convergence of numerical methods; decay rate; discrete noisy data; filtering and prediction; Fredholm; functional analysis; integral equations; integral equations of the first kind; inverse; Landweber iteration; linear operator equations; mathematical physics; problems; remote sensing; singular value decomposition; theory; Tikhonov regularization; truncated; white noise", treatment = "T Theoretical or Mathematical", } @Article{Gfrerer:1987:PPC, author = "Helmut Gfrerer", title = "An a posteriori parameter choice for ordinary and iterated {Tikhonov} regularization of ill-posed problems leading to optimal convergence rates", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "507--522, S5--S12", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J10 (47A50)", MRnumber = "88k:65049", MRreviewer = "J. Dane{\v{s}}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Johannes-Kepler Univ., Linz, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "a posteriori parameter choice; approximate; approximation theory; convergence of numerical methods; functional analysis; ill-posed linear operator equation; iterated Tikhonov; iterative methods; noise; noisy data; optimal convergence rates; regularization; solution", treatment = "T Theoretical or Mathematical", } @Article{Chang:1987:NSS, author = "Chien-Cheng Chang", title = "Numerical solution of stochastic differential equations with constant diffusion coefficients", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "523--542", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65U05", MRnumber = "88j:65305", MRreviewer = "M. Sambandham", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1140Z (Other and miscellaneous); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Lawrence Berkeley Lab., CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2/ convergence; constant diffusion coefficients; convergence of numerical methods; differential equations; diffusion; expectations; function approximation; Hermite expansions; L/sub; methods; numerical solution; polynomials; Runge--Kutta; Runge--Kutta methods; stochastic differential equations; stochastic processes; variance reduction", treatment = "T Theoretical or Mathematical", } @Article{Iserles:1987:TSM, author = "A. Iserles and S. P. N{\o}rsett", title = "Two-Step Methods and Bi-Orthogonality", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "543--552", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (33A65)", MRnumber = "88i:65088", MRreviewer = "J. M. Sanz-Serna", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math., Theor. Phys., Cambridge Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bi-orthogonality; convergence of numerical methods; differential equations; explicit form; Obrechkoff two-step methods; order; ordinary differential equation; poles and zeros; polynomials; Rodrigues-type formulae; root loci; zero loci; zero-stability", treatment = "T Theoretical or Mathematical", } @Article{Ananthakrishnaiah:1987:SOM, author = "U. Ananthakrishnaiah", title = "$ {P}$-stable {Obrechkoff} methods with minimal phase-lag for periodic initial value problems", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "553--559", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "88j:65142", MRreviewer = "Reinhard Scholz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Math., Saskatchewan Univ., Sask., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; differential equations; initial value problems; integration; minimal frequency distortion; minimal phase-lag; numerical integration; P-; periodic; stable Obrechkoff methods", treatment = "T Theoretical or Mathematical", } @Article{Nassif:1987:EFD, author = "Nabil R. Nassif", title = "Eigenvalue finite difference approximations for regular and singular {Sturm--Liouville} problems", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "561--580", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (34B25)", MRnumber = "89f:65084", MRreviewer = "Henning Esser", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A0270 (Computational techniques)A0365D (Functional analytical methods); A0365G (Solutions of wave equations: bound state)", corpsource = "Dept. of Math., American Univ. of Beirut, Lebanon", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; difference equations; eigenvalues and eigenfunctions; error analysis; functional; analysis; Liouville equation; Schr{\"o}dinger equation; stable eigenvalue approximations; Numerov difference scheme; stable difference scheme; finite difference approximations; Sturm--Liouville problems; error estimates; discretization; error; Schr{\"o}dinger singular equation; central difference; formula; differential operator", treatment = "T Theoretical or Mathematical", } @Article{Stoer:1987:CSC, author = "J. Stoer and R. A. Tapia", title = "On the characterization of $q$-superlinear convergence of {quasi-Newton} methods for constrained optimization", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "581--584", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65K05 (49D15 90C30)", MRnumber = "89g:65079", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Inst. fur Angewandte Math. und Stat., Wurzburg, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Boggs-Tolle-Wang characterization; convergence of numerical methods; equality-constrained; iteration; iterative methods; optimisation; optimization; q-superlinear convergence; quasi-Newton methods", treatment = "T Theoretical or Mathematical", } @Article{Dudley:1987:SIC, author = "R. M. Dudley", title = "Some Inequalities for Continued Fractions", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "585--593", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "40A15 (33A20 65D20)", MRnumber = "88j:40004", MRreviewer = "E. P. Merkes", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., MIT, Cambridge, MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; continued fractions; convergence of numerical methods; error analysis; function; inequalities; monotone relative errors", treatment = "T Theoretical or Mathematical", } @Article{Carlson:1987:TEI, author = "B. C. Carlson", title = "A Table of Elliptic Integrals of the Second Kind", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "595--606, S13--S17", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (33A25 65V05)", MRnumber = "89b:65013", MRreviewer = "F. W. J. Olver", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation); C7310 (Mathematics)", corpsource = "Dept. of Math., Iowa State Univ., Ames, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "elliptic integrals of the second kind; FORTRAN listings; integration; mathematics computing; standard R-functions", treatment = "P Practical; T Theoretical or Mathematical; X Experimental", } @Article{Kuchel:1987:BCF, author = "Philip W. Kuchel and Brian T. Bulliman and Edward D. Fackerell", title = "Bi-cyclide and flat-ring cyclide coordinate surfaces: correction of two expressions", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "607--613", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A25", MRnumber = "88m:33002", MRreviewer = "W. A. Al-Salam", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4120 (Functional analysis)", corpsource = "Dept. of Biochem., Sydney Univ., NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bicyclide coordinate surfaces; conformal transformations; flat-ring cyclide coordinate; function; functional analysis; Jacobian elliptic; MACSYMA; rotation-cyclide surfaces; surfaces", treatment = "T Theoretical or Mathematical", } @Article{Hardy:1987:CCN, author = "Kenneth Hardy and R. H. Hudson and D. Richman and Kenneth S. Williams and N. M. Holtz", title = "Calculation of the class numbers of imaginary cyclic quartic fields", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "615--620", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11R16 11R29)", MRnumber = "88m:11112", MRreviewer = "Ken Nakamula", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math. Stat., Carleton Univ., Ottawa, Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class numbers; conductor; discriminant; imaginary cyclic quartic fields; number theory", treatment = "T Theoretical or Mathematical", } @Article{Gordon:1987:PME, author = "Daniel M. Gordon", title = "Perfect Multiple Error-Correcting Arithmetic Codes", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "621--633", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T71 (94B40)", MRnumber = "88k:11093", MRreviewer = "Vera Pless", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B6120B (Codes); C1160 (Combinatorial mathematics); C1260 (Information theory)", corpsource = "Dept. of Math., Georgia Univ., Athens, GA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic codes; error correction codes; generalized Riemann hypothesis; multiple error-correcting codes; number theory; perfect", treatment = "T Theoretical or Mathematical", } @Article{Buell:1987:ISC, author = "Duncan A. Buell", title = "Integer Squares with Constant Second Difference", journal = j-MATH-COMPUT, volume = "49", number = "180", pages = "635--644", month = oct, year = "1987", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y55 (11B83)", MRnumber = "88j:11090", MRreviewer = "Stanley J. Benkoski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Supercomput. Res. Center, Lanham, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "constant second difference; integer squares; length four; number theory; sequences of; sequences of length five", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Brillhart:1988:STF, author = "John Brillhart and Peter L. Montgomery and Robert D. Silverman", title = "Supplement to Tables of {Fibonacci} and {Lucas} Factorizations", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "S1--S15", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1988:PTI, author = "James H. Bramble and Joseph E. Pasciak", title = "A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "1--17", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F10)", MRnumber = "89m:65097a", MRreviewer = "M. Zl{\'a}mal", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A0270 (Computational techniques)A0340D (Mathematical theory of elasticity); A0340G (Fluid dynamics: general mathematical aspects)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conjugate gradient; differential equations; elasticity; elliptic problems; external flows; function approximation; indefinite systems; iteration; iterative methods; Lagrange multiplier techniques; mixed approximations; numerical approximation; partial; partial differential equations; preconditioned iterative technique; saddle point problems; Stokes equation; symmetric positive definite system", treatment = "T Theoretical or Mathematical", } @Article{Osher:1988:CDA, author = "Stanley Osher and Eitan Tadmor", title = "On the convergence of difference approximations to scalar conservation laws", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "19--51", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35L65 65M05)", MRnumber = "89m:65086", MRreviewer = "A. O. Oganesyan", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A0340G (Fluid dynamics: general mathematical aspects); A0570C (Thermodynamic functions and equations of state)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximations; cell entropy inequality; computational fluid dynamics; conservation laws; convergence of numerical methods; difference approximation convergence; difference equations; entropy; explicit-in-time; fluid dynamics; function; modified flux; scalar; second-order resolution approximations; total variation diminishing approximations; two-level; viscosity; viscosity coefficient", treatment = "T Theoretical or Mathematical", } @Article{Vila:1988:HOS, author = "J. P. Vila", title = "High-order schemes and entropy condition for nonlinear hyperbolic systems of conservation laws", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "53--73", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35L65)", MRnumber = "89b:65217", MRreviewer = "Hong Yuan Fu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Div. Nivologle, Domaine Univ., Saint-Martin-d'Heres, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conservation laws; convergence; convergence of numerical methods; decreasing scheme; differential equations; entropy; entropy condition; entropy inequality; explicit quasi-second-order approximations; nonlinear differential equations; nonlinear hyperbolic; partial; systems; total variation", treatment = "T Theoretical or Mathematical", } @Article{Richter:1988:OOE, author = "Gerard R. Richter", title = "An optimal-order error estimate for the discontinuous {Galerkin} method", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "75--88", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M15 (65M60 65N30)", MRnumber = "88j:65197", MRreviewer = "Martin Stynes", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Rutgers Univ., New Brunswick, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discontinuous Galerkin method; equations; error analysis; function approximation; optimal-order error estimate; partial differential; polynomial approximations; polynomials; semiuniform triangulation", treatment = "T Theoretical or Mathematical", } @Article{Hale:1988:USA, author = "Jack K. Hale and Xiao Biao Lin and Genevi{\`e}ve Raugel", title = "Upper semicontinuity of attractors for approximations of semigroups and partial differential equations", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "89--123", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "47H20 (35K55 35K70 65N30)", MRnumber = "89a:47093", MRreviewer = "Tie Hu Qin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Div. of Appl. Math., Brown Univ., Providence, RI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "compact attractor; convergence; convergence of numerical methods; equations; evolutionary equation; function approximation; functional analysis; group theory; hyperbolic partial differential equations; parabolic PDEs; partial differential; semigroups; upper semicontinuity", treatment = "T Theoretical or Mathematical", } @Article{Chandler:1988:PIC, author = "G. A. Chandler and I. G. Graham", title = "Product integration-collocation methods for noncompact integral operator equations", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "125--138", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "88k:65127", MRreviewer = "P. M. Gupta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4150 (Nonlinear and functional equations); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Dept. of Math., Queensland Univ., St. Lucia, Qld., Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "basis functions; collocation; convergence of numerical methods; equations; functional equations; integral equations; integration; noncompact integral operator equations; optimal orders of convergence; product integration; second-kind integral", treatment = "T Theoretical or Mathematical", } @Article{Fernandez-Cara:1988:CPA, author = "Enrique Fern{\'a}ndez-Cara and Carlos Moreno", title = "Critical point approximation through exact regularization", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "139--153", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65K10 (65N30)", MRnumber = "88m:65102", MRreviewer = "Sven-{\AA}ke Gustafson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1180 (Optimisation techniques); C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Sevilla Univ., Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; fluid mechanics; function approximation; functional; functional analysis; iterative methods; local feature; minima; nondifferentiable extremal problems; optimisation; partial differential equations; physics; plasma; preservation; semilinear elliptic differential equations", treatment = "T Theoretical or Mathematical", } @Article{Dennis:1988:HAS, author = "J. E. {Dennis, Jr.} and Guang Ye Li", title = "A hybrid algorithm for solving sparse nonlinear systems of equations", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "155--166", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10", MRnumber = "88m:65080", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4120 (Functional analysis); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math. Sci., Rice Univ., Houston, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; functional analysis; hybrid algorithm; Jacobian column division; Kantorovich-type analysis; locally q-superlinear; matrix algebra; nonlinear equations; sparse nonlinear; systems", treatment = "T Theoretical or Mathematical", } @Article{Zulehner:1988:SHM, author = "Walter Zulehner", title = "A simple homotopy method for determining all isolated solutions to polynomial systems", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "167--177", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H10", MRnumber = "89b:65130", MRreviewer = "Gerd P{\"o}nisch", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4190 (Other numerical methods)", corpsource = "Inst. fur Math., Johannes Kepler Univ., Linz, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "equations; homotopy; isolated solutions; method; numerical methods; polynomial equation systems; polynomials; regularisation", treatment = "T Theoretical or Mathematical", } @Article{Gerasoulis:1988:FAM, author = "A. Gerasoulis", title = "A Fast Algorithm for the Multiplication of Generalized {Hilbert} Matrices with Vectors", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "179--188", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F30 (65D30 65R20)", MRnumber = "88j:65084", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Rutgers Univ., New Brunswick, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; algorithm; Cauchy singular integral; Chebyshev approximation; Chebyshev points; computational complexity; equations; fast; generalised Hilbert matrix-vector multiplication; matrix; nth roots of; numerical approximation; time complexity; unity; vectors", kwds = "nla, Hilbert matrix, fast algorithm, matrix-vector product", treatment = "T Theoretical or Mathematical", } @Article{Weiser:1988:NPL, author = "Alan Weiser and Sergio E. Zarantonello", title = "A note on piecewise linear and multilinear table interpolation in many dimensions", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "189--196", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (65D15)", MRnumber = "88k:65012", MRreviewer = "R. Franke", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Exxon Production Res. Co., Houston, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation properties; computational complexity; interpolation; linear interpolation; piecewise; piecewise bilinear interpolation; piecewise multilinear interpolation; piecewise-linear; rectangular table; table lookup; techniques", treatment = "T Theoretical or Mathematical", } @Article{Grandine:1988:SEM, author = "Thomas A. Grandine", title = "The stable evaluation of multivariate simplex splines", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "197--205", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D07 (41A15 41A63)", MRnumber = "89a:65018", MRreviewer = "D. C. Handscomb", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Div. of Eng. Technol. Applications, Boeing Comput. Services, Seattle, WA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coefficients; convergence of numerical methods; dual simplex method; evaluation along mesh boundaries; function evaluation; linear programming; multivariate simplex splines; splines (mathematics); stable evaluation", treatment = "T Theoretical or Mathematical", } @Article{Scraton:1988:CST, author = "R. E. Scraton", title = "A Comparison of Some {Taylor} and {Chebyshev} Series", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "207--213", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A50 (40A05 41A58 65B10)", MRnumber = "89e:41036", MRreviewer = "Tikam Singh", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., South Pacific Univ., Suva, Fiji", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev series; convergence; convergence of numerical methods; function approximation; series (mathematics); Taylor series", treatment = "T Theoretical or Mathematical", } @Article{Iwaniec:1988:AEM, author = "T. Iwaniec and A. Lutoborski", title = "Asymptotic expansions of multiple integrals of rapidly oscillating functions", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "215--228", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A60", MRnumber = "88j:41067", MRreviewer = "James Geer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math., Syracuse Univ., NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansions; function approximation; integration; multiple integrals; oscillating functions; rapidly; remainder term", treatment = "T Theoretical or Mathematical", } @Article{Wong:1988:AE, author = "R. Wong", title = "Asymptotic Expansion of $ \int^{\pi / 2}_0 {J}^2_\nu (\lambda \cos \theta) d \theta $", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "229--234", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A60 (33A40)", MRnumber = "89g:41022", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Appl. Math., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic expansion; Bessel function; Bessel functions; crystallography; diffraction theory; function approximation; integral; integration", treatment = "T Theoretical or Mathematical", } @Article{Kannan:1988:PFN, author = "R. Kannan and A. K. Lenstra and L. Lov{\'a}sz", title = "Polynomial factorization and nonrandomness of bits of algebraic and some transcendental numbers", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "235--250", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "68Q20 (11A51 11A63 11J99 11Y16 68Q25)", MRnumber = "89j:68061", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); B6120B (Codes); C1110 (Algebra); C1160 (Combinatorial mathematics); C1260 (Information theory); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Carnegie-Mellon Univ., Pittsburg, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic numbers; binary expansions; computational complexity; cryptography; nonrandomness; number theory; polynomial factorisation; polynomial time algorithms; polynomials; random number generation; secure pseudorandom sequences; transcendental numbers", treatment = "T Theoretical or Mathematical", } @Article{Brillhart:1988:TFL, author = "John Brillhart and Peter L. Montgomery and Robert D. Silverman", title = "Tables of {Fibonacci} and {Lucas} Factorizations", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "251--260, S1--S15", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11-04 (11B39)", MRnumber = "89h:11002", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Dept. of Math., Arizona Univ., Tucson, AZ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "factorizations; Fibonacci numbers; Lucas; mathematics computing; number theory; numbers; primality tests; prime factors", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Young:1988:TFN, author = "Jeff Young and Duncan A. Buell", title = "The Twentieth {Fermat} Number is Composite", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "261--263", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A51 (11Y05 11Y11)", MRnumber = "89b:11012", MRreviewer = "John Michael Schram", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Cray Res. Inc., Mendota Heights, MN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "mathematics computing; number theory; twentieth Fermat number", treatment = "X Experimental", } @Article{Lehmer:1988:SLP, author = "D. H. Lehmer", title = "The sum of like powers of the zeros of the {Riemann} zeta function", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "265--273", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M26 (11Y35)", MRnumber = "88m:11073", MRreviewer = "Bruce C. Berndt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex; derivative; Euler--Maclaurin summation formula; function evaluation; logarithmic; Maclaurin expansion coefficients; mathematics computing; number theory; poles and zeros; Riemann zeta function; series (mathematics); Sitaramachandrarao limit; sum of like powers; theorem; zeros", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Bailey:1988:NRT, author = "David H. Bailey", title = "Numerical results on the transcendence of constants involving $ \pi $, $e$, and {Euler}'s constant", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "275--281", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11J81 (11Y60)", MRnumber = "88m:11056", MRreviewer = "David Lee Hilliker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics)", corpsource = "NASA Ames Res. Centre, Moffet Field, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cray-2 supercomputer; e; Euler constant; exponential constant; Forcade algorithm; mathematics computing; multiprecision arithmetic; number theory; pi; recursive Ferguson-; transcendental constants", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Bailey:1988:CDD, author = "David H. Bailey", title = "The Computation of $ \pi $ to 29,360,000 Decimal Digits Using {Borweins}' Quartically Convergent Algorithm", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "283--296", month = jan, year = "1988", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-1988-0917836-3; https://doi.org/10.2307/2007932", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y60 (11-04 11K16 65-04)", MRnumber = "88m:11114", MRreviewer = "A. J. van der Poorten", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib; https://www.davidhbailey.com/dhbpapers/pi.pdf; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1140Z (Other and miscellaneous); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation); C5470 (Performance evaluation and testing); C7310 (Mathematics)", corpsource = "NASA Ames Res. Centre, Moffet Field, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Borwein quartically convergent algorithm; computation of pi; computer testing; Cray 2 computer test; decimal expansion; elliptic integrals; iterative methods; mathematics computing; multiprecision arithmetic; number theory; prime modulus; series (mathematics); statistical analyses; statistical analysis; transform", ORCID-numbers = "Bailey, David H./0000-0002-7574-8342", treatment = "X Experimental", } @Article{Lunnon:1988:ISD, author = "W. F. Lunnon", title = "Integer Sets with Distinct Subset-Sums", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "297--320", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B13 (94A60)", MRnumber = "89a:11019", MRreviewer = "B{\'e}la Uhrin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Math., Univ. Coll. Cardiff, UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Atkinson-Negro-Santoro sequence; Conway-Guy sequence; distinct subset-sum sets; greedy sequences; integer sets; minimal-height sets; natural numbers; number theory; series (mathematics); set theory", treatment = "T Theoretical or Mathematical", } @Article{Llorente:1988:SSC, author = "Pascual Llorente and Jordi Quer", title = "On the {3-Sylow} subgroup of the class group of quadratic fields", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "321--333", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R11 (11R29)", MRnumber = "89b:11083", MRreviewer = "F. Diaz y Diaz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. de Matematica Aplicada, Zaragoza Univ., Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "3-Sylow subgroup; associate real fields; class group; discriminants; fields; group theory; number theory; quadratic", treatment = "T Theoretical or Mathematical", } @Article{Rayner:1988:WUDa, author = "Francis J. Rayner", title = "Weak Uniform Distribution for Divisor Functions. {I}", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "335--342", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11N69 (11N37)", MRnumber = "89g:11090", MRreviewer = "Jean-Marie De Koninck", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1140Z (Other and miscellaneous); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Pure Math, Liverpool Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic function; distribution; divisor functions; functions; moduli; Narkiewicz algorithm; number theory; probability; weak uniform", treatment = "T Theoretical or Mathematical", } @Article{Anonymous:1988:C, author = "Anonymous", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "359--359", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Eriksson:1988:AFE, author = "Kenneth Eriksson and Claes Johnson", title = "An adaptive finite element method for linear elliptic problems", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "361--383", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N50)", MRnumber = "89c:65119", MRreviewer = "William W. Hager", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adaptive finite element method; error analysis; error tolerance; finite element analysis; iterative methods; linear elliptic problems; meshes; optimal maximum norm error estimate; partial differential equations; successively refined", treatment = "T Theoretical or Mathematical", } @Article{Kumar:1988:SCT, author = "Sunil Kumar", title = "Superconvergence of a collocation-type method for simple turning points of {Hammerstein} equations", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "385--398", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45G10)", MRnumber = "89c:65139", MRreviewer = "P. M. Anselone", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Sch. of Math., New South Wales Univ., Sydney, NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; collocation; collocation-type method; convergence of numerical methods; discretization; function approximation; Hammerstein equations; integral equations; polynomial collocation; standard piecewise; superconvergence; turning points", treatment = "T Theoretical or Mathematical", } @Article{Conn:1988:TCM, author = "Andrew R. Conn and Nicholas I. M. Gould and Philippe L. Toint", title = "Testing a class of methods for solving minimization problems with simple bounds on the variables", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "399--430", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65K05 (90C30)", MRnumber = "89e:65061", MRreviewer = "Joachim Hirche", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Combinatorics and Optimization, Waterloo Univ., Ont., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; experiments; generalized Cauchy point; IBM 3084Q; iterative methods; large-scale problems; minimisation; minimization problem; numerical; simple bound constrained; trust region", treatment = "T Theoretical or Mathematical", } @Article{Bini:1988:EAE, author = "D. Bini and V. Pan", title = "Efficient Algorithms for the Evaluation of the Eigenvalues of (Block) Banded {Toeplitz} Matrices", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "431--448", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F30", MRnumber = "89c:65054", MRreviewer = "A. Bultheel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dipartimento di Matematica, Roma, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(3/2)k/sup 2/ log n+O(k/sup 3/) block; (3/k logn+k/sup 3/m/sup 3/) scalar multiplications; banded block Toeplitz; banded Toeplitz matrices; companion matrix; computational complexity; eigenvalues; eigenvalues and eigenfunctions; field; k log; linear; matrix; multiplications; O((m/sup 2/k log k+m/sup n)+O(k/sup 3/)) multiplications; recurrence relation", kwds = "nla, prll, Toeplitz matrix, fast algorithm, eig", treatment = "T Theoretical or Mathematical", } @Article{Demmel:1988:PNA, author = "James W. Demmel", title = "The Probability That a Numerical Analysis Problem is Difficult", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "449--480", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65G99 (15A12 60D05)", MRnumber = "89g:65062", MRreviewer = "Marietta J. Tretter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0240Z (Other and miscellaneous); B0290H (Linear algebra); C1140Z (Other and miscellaneous); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., New York Univ., NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "calculations; condition number; eigenvalue; geometric; ill-posed problems; matrices; matrix algebra; matrix inversion; noninvertible; numerical analysis; polynomial zerofinding; polynomials; probability; probability distribution; random matrix; structure", kwds = "na, pert, eig, lsq", treatment = "T Theoretical or Mathematical", } @Article{Olver:1988:EBL, author = "F. W. J. Olver", title = "Error Bounds for Linear Recurrence Relations", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "481--499", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65Q05 (39A10 65G05)", MRnumber = "89e:65146", MRreviewer = "B. Choczewski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "a posteriori methods; analysis; Bessel function; bounds; computational complexity; difference equations; error; homogeneous second order; Legendre function; linear recurrence relations; monotonic systems; numerical examples; O(r) arithmetic operations; oscillatory systems; realistic error; relations; rounded interval arithmetic", treatment = "T Theoretical or Mathematical", } @Article{Loiseau:1988:HIM, author = "Jean-Francis Loiseau and Jean-Pierre Codaccioni and R{\'e}gis Caboz", title = "Hyperelliptic integrals and multiple hypergeometric series", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "501--512", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A25 (33A35)", MRnumber = "89a:33002", MRreviewer = "H. Hochstadt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Lab. de Phys. Appl., Univ. de Pau et des Pays de l'Adoun, Pau, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; delta -Dirac; function; hyperelliptic integral; integral equations; odd monomial terms; power series; region of convergence; series; sum of multiple hypergeometric; Taylor expansion", treatment = "T Theoretical or Mathematical", } @Article{Gray:1988:NDF, author = "Henry L. Gray and Nien fan Zhang", title = "On a New Definition of the Fractional Difference", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "513--529", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "39A12 (26A33 39A10)", MRnumber = "89i:39008", MRreviewer = "R. C. S. Chandel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Stat. Sci., Southern Methodist Univ., Dallas, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; extensive exponential law; fractional difference; Leibniz; rule; second-order linear difference equations", treatment = "T Theoretical or Mathematical", xxnote = "Second author's middle name was indeed spelled in lowercase in original journal article.", } @Article{Tezuka:1988:OGP, author = "Shu Tezuka", title = "On Optimal {GFSR} Pseudorandom Number Generators", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "531--533", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C05 (65C10)", MRnumber = "89h:65015", MRreviewer = "Istv{\'a}n D{\'e}ak", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "IBM Japan Ltd., Tokyo, Japan", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "generalised feedback shift register pseudorandom numbers; number theory; optimal GFSR pseudorandom number generators; random number generation", treatment = "T Theoretical or Mathematical", } @Article{Lehmer:1988:CBG, author = "Emma Lehmer", title = "Connection between {Gaussian} periods and cyclic units", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "535--541", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R11 (11R16 11R21 11R27)", MRnumber = "89h:11067a", MRreviewer = "Harvey Cohn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cyclic units; Gaussian periods; group theory; number theory; parametric families of; polynomials; prime conductor; real quintic field; units", treatment = "T Theoretical or Mathematical", } @Article{Schoof:1988:QPR, author = "Ren{\'e} Schoof and Lawrence C. Washington", title = "Quintic Polynomials and Real Cyclotomic Fields with Large Class Number", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "543--556", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R11 (11R16 11R21 11R27)", MRnumber = "89h:11067b", MRreviewer = "Harvey Cohn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Pisa Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "field; group theory; large class numbers; maximal real subfield; number theory; polynomials; pth cyclotomic; quintic fields; quintic polynomials; real cyclotomic fields", treatment = "T Theoretical or Mathematical", } @Article{Cohn:1988:EME, author = "Harvey Cohn and Jesse Deutsch", title = "An Explicit Modular Equation in Two Variables for $ {Q}(\sqrt 3) $", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "557--568", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F41", MRnumber = "89d:11040", MRreviewer = "Shigeaki Tsuyumine", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., City Coll. of New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic manifold; explicit modular equation; group theory; Hilbert; MACSYMA; modular function field; modular transformation; number theory", treatment = "T Theoretical or Mathematical", } @Article{Buchmann:1988:IPI, author = "Johannes Buchmann and H. C. Williams", title = "On the infrastructure of the principal ideal class of an algebraic number field of unit rank one", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "569--579", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R11 (11R16 11R27 11Y16 11Y40)", MRnumber = "89g:11098", MRreviewer = "Ken Nakamula", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Dusseldorf Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "absolute value; algebraic number field; binary operations; computational complexity; continued fraction; discriminant; infrastructure; methods; number theory; one; principal ideal class; regulator; unit rank", treatment = "T Theoretical or Mathematical", } @Article{Llorente:1988:TRC, author = "Pascual Llorente and Jordi Quer", title = "On totally real cubic fields with discriminant $ {D} < 10^7 $", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "581--594", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11Y40)", MRnumber = "89g:11099", MRreviewer = "Brigitte Vall{\'e}e", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Zaragoza Univ., Spain", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "decomposition; discriminant; fields; generating polynomial; IBM 3360; nonconjugate totally real cubic number; number theory; polynomials; primes; rational; VAX 8600", treatment = "T Theoretical or Mathematical", } @Article{Buekenhout:1988:SSM, author = "Francis Buekenhout and Sarah Rees", title = "The subgroup structure of the {Mathieu} group $ {M}_{12} $", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "595--605", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20D08", MRnumber = "88m:20024", MRreviewer = "Koichiro Harada", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Univ. Libre de Bruxelles, Belgium", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "group theory; lattice; Mathieu group M/sub 12/; subgroup structure", treatment = "T Theoretical or Mathematical", } @Article{Seah:1988:EOF, author = "E. Seah and D. R. Stinson", title = "On the enumeration of one-factorizations of complete graphs containing prescribed automorphism groups", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "607--618", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05C30 (05B30 05C45 05C70 20B25)", MRnumber = "89b:05104", MRreviewer = "Jeffrey H. Dinitz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "automorphism groups; factorizations; graph theory; group theory; nonisomorphic one-; nontrivial automorphism groups; one-factorizations of complete graphs; prescribed; prescribed subgroups", treatment = "T Theoretical or Mathematical", } @Article{Stephens:1988:SCR, author = "A. J. Stephens and H. C. Williams", title = "Some computational results on a problem concerning powerful numbers", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "619--632", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R11 (11A51 11R27 11Y16 11Y40)", MRnumber = "89d:11091", MRreviewer = "H. J. Godwin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; continued; fractions; free integer; fundamental unit; number theory; positive square-; real quadratic number fields; regulator algorithm Amdahl 5850; step algorithm; time complexity $O(D^{1/4+\epsilon})$", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Battiato:1988:TOA, author = "S. Battiato and W. Borho", title = "Are there odd amicable numbers not divisible by three", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "633--637", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A51", MRnumber = "89c:11015", MRreviewer = "F. T. Howard", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Bergische Univ., Wuppertal, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; odd amicable numbers", treatment = "T Theoretical or Mathematical", } @Article{Knight:1988:TETa, author = "J. H. Knight and J. R. Philip", title = "Table errata: {{\em Tables of integral transforms. Vol. 1} [McGraw-Hill, New York, 1954; MR {\bf 15}, 868] by A. Erd{\'e}lyi, W. Magnus, F. Oberhettinger and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "653--653", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "44-00 (00A20)", MRnumber = "89a:44001", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Knight:1988:TETb, author = "J. H. Knight", title = "Table errata: {{\em Tables of Laplace transforms} [Springer, New York, 1973; MR {\bf 50} \#5375] by F. Oberhettinger and L. Badii}", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "653--654", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "44-00 (44A15)", MRnumber = "89a:44002", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Anonymous:1988:TEB, author = "Anonymous", title = "Table errata: {{\em The book of squares} [Academic Press, Boston, Mass., 1987, MR 88m:01021a] by L. P. Fibonacci}", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "654--654", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "01A35 (01A75)", MRnumber = "88m:01021b", MRreviewer = "M. Folkerts", bibdate = "Wed Jan 15 09:19:40 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Rabinowitz:1988:CGK, author = "Philip Rabinowitz", title = "Corrigenda: {``Gauss--Kronrod integration rules for Cauchy principal value integrals''} {[Math. Comp. {\bf 41} (1983), no. 163, 63--78, MR 84i:65029]}", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "655--655", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30", MRnumber = "89a:65034", bibdate = "Wed Jan 15 09:19:42 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Williams:1988:CCC, author = "H. C. Williams", title = "Corrigenda: {``Computation of the class number and class group of a complex cubic field''} {[Math. Comp. {\bf 45} (1985), no. 171, 223--231, MR 86m:11078] by G. W. Dueck and Williams}", journal = j-MATH-COMPUT, volume = "50", number = "182", pages = "655--657", month = apr, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11R29 11Y40)", MRnumber = "89b:11085", MRreviewer = "Charles J. Parry", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Carlson:1988:STE, author = "B. C. Carlson", title = "Supplement to {A} Table of Elliptic Integrals of the Third Kind", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "S1--S5", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Babuska:1988:VFE, author = "I. Babu{\v{s}}ka and Manil Suri", title = "The $p$-version of the finite element method for constraint boundary conditions", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "1--13", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "89k:65131", MRreviewer = "A. O. Garder", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Phys. Sci. and Technol., Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; constraint boundary conditions; differential equations; error bounds; finite element; finite element analysis; method; p-version FEM; partial", treatment = "T Theoretical or Mathematical", } @Article{Pierre:1988:CPN, author = "Roger Pierre", title = "Convergence properties and numerical approximation of the solution of the {Mindlin} plate bending problem", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "15--25", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "73K10 (65N30 73K25)", MRnumber = "89c:73050", MRreviewer = "Claude Surry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation); A4630C (Elasticity); A0260 (Numerical approximation and analysis); B0290B (Error analysis in numerical methods); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations); C7320 (Physics and Chemistry); C7440 (Civil and mechanical engineering)", corpsource = "Laval Univ., Quebec, Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bending; Brezzi-Fortin decomposition; convergence of numerical methods; element approximation; error analysis; error bounds; finite element analysis; linear finite; Mindlin plate bending problem; numerical approximation; shear stress", treatment = "T Theoretical or Mathematical", } @Article{Nochetto:1988:ELS, author = "Ricardo H. Nochetto and Claudio Verdi", title = "An efficient linear scheme to approximate parabolic free boundary problems: error estimates and implementation", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "27--53", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N15 (65N30)", MRnumber = "89k:65124", MRreviewer = "O. Widlund", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4755M (Flow through porous media); A4710 (General theory, simulation and other computational methods); A0260 (Numerical approximation and analysis); B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4170 (Differential equations); C4110 (Error analysis in numerical methods); C7320 (Physics and Chemistry)", corpsource = "Inst. de Desarrollo Tecnologico para la Ind. Quimica, Santa Fe, Argentina", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic correction; convergence; discrete scheme; element-by-element; equations; error analysis; error estimates; finite element analysis; flow through porous; fully; heat transfer; linear elliptic partial differential equation; linear systems; media; multidimensional singular parabolic; parabolic free boundary problems; partial differential equations; piecewise linear finite elements; piecewise-linear techniques; porous materials; porous medium; problems; two-phase Stefan problems", treatment = "X Experimental", } @Article{Girault:1988:IFE, author = "V. Girault", title = "Incompressible Finite Element Methods for {Navier--Stokes} Equations with Nonstandard Boundary Conditions in $ {R}^3 $", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "55--74", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76-08 76D05)", MRnumber = "90e:65155", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces); A0260 (Numerical approximation and analysis); B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. Pierre et Marie Curie, Paris, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conditions; continuous finite elements; equations; error; error analysis; estimates; finite element analysis; incompressible Navier--Stokes equations; Navier--Stokes; nonstandard boundary; pressure; standard boundary condition; vector potential; vortices; vorticity", treatment = "T Theoretical or Mathematical", } @Article{Bohmer:1988:AED, author = "Klaus B{\"o}hmer and John Locker", title = "Asymptotic expansions for the discretization error of least squares solutions of linear boundary value problems", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "75--91", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10", MRnumber = "89f:65081", MRreviewer = "L. Greenberg", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Fachbereich Math., Marburg Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analysis; asymptotic expansion; boundary value problems; boundary-value problems; difference equations; difference methods; discretization error; error; extrapolation; ill-posed problem; least squares approximations; least squares solutions; linear; regularization; Richardson", treatment = "T Theoretical or Mathematical", } @Article{Gartland:1988:AUC, author = "Eugene C. {Gartland, Jr.}", title = "An Analysis of a Uniformly Convergent Finite Difference\slash Finite Element Scheme for a Model Singular-Perturbation Problem", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "93--106", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (65L60)", MRnumber = "89b:65187", MRreviewer = "Martin Stynes", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Southern Methodist Univ., Dallas, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; difference equations; El-Mistikawy-; finite element; finite element analysis; model singular-perturbation problem; perturbation techniques; Petrov--Galerkin formulation; scheme; stability; uniformly convergent finite difference; Werle discretization", treatment = "T Theoretical or Mathematical", } @Article{Lukas:1988:CRR, author = "Mark A. Lukas", title = "Convergence Rates for Regularized Solutions", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "107--131", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (41A25 45L05)", MRnumber = "89h:65223", MRreviewer = "P. Uba", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Murdoch Univ., WA, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; discrete noisy data; functional; integral equation; integral equations; optimal regularization parameter; regularization", treatment = "T Theoretical or Mathematical", } @Article{Bialecki:1988:SNM, author = "Bernard Bialecki and Frank Stenger", title = "{Sinc--Nystr{\"o}m} method for numerical solution of one-dimensional {Cauchy} singular integral equation given on a smooth arc in the complex plane", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "133--165", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "89g:65163", MRreviewer = "M. S. Abou El-Seoud", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); B0290B (Error analysis in numerical methods); C4180 (Integral equations); C4110 (Error analysis in numerical methods)", corpsource = "Utah Univ., Salt Lake City, UT, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cauchy; Cauchy singular integral equation; complex plane; convergence rate; error; error analysis; Fredholm integral equation; integral equations; N-point approximation; numerical methods; numerical solution; principal value integrals; regularization procedure; Sinc function; Sinc quadrature rule; Sinc-Nystrom method; smooth arc", treatment = "T Theoretical or Mathematical", } @Article{Costabel:1988:CCM, author = "M. Costabel and V. J. Ervin and E. P. Stephan", title = "On the convergence of collocation methods for {Symm}'s integral equation on open curves", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "167--179", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45E99 45L10)", MRnumber = "89h:65218", MRreviewer = "R. S. Anderssen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); B0290B (Error analysis in numerical methods); C4180 (Integral equations); C4110 (Error analysis in numerical methods)", corpsource = "Fachbereich Math., Darmstadt, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic; asymptotic error; convergence of collocation methods; convergence of numerical methods; convergence rates; equations; error analysis; estimates; graded meshes; integral; numerical methods; open curves; piecewise linear trial functions; Sobolev norms; Symm integral equations", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Tapia:1988:SUU, author = "Richard Tapia", title = "On secant updates for use in general constrained optimization", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "181--202", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "90C30 (49D37 90C20)", MRnumber = "89g:90201", MRreviewer = "G. Di Pillo", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290K (Nonlinear and functional equations); B0260 (Optimisation techniques); C4150 (Nonlinear and functional equations); C1180 (Optimisation techniques)", corpsource = "Rice Univ., Houston, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; equality-constrained; iterative methods; locally q-superlinearly convergent; nonlinear optimisation; optimization problem; quadratic programming; secant updates; SQP augmented Lagrangian formulation", treatment = "T Theoretical or Mathematical", } @Article{Chui:1988:IMS, author = "Charles K. Chui and Harvey Diamond and Louise A. Raphael", title = "Interpolation by Multivariate Splines", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "203--218", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A05 (41A15 65D07)", MRnumber = "89j:41002", MRreviewer = "Yu Yu Feng", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Texas A and M Univ., College Station, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; general interpolation scheme; interpolation; local optimal order; multivariate splines; regular; sample points; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Daehlen:1988:BIQ, author = "Morten D{\ae}hlen and Tom Lyche", title = "Bivariate Interpolation with Quadratic Box Splines", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "219--230", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A05 (41A15 65D07)", MRnumber = "89e:41003", MRreviewer = "K. Jetter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Center for Ind. Res., Oslo, Norway", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bivariate interpolation; finite; Hermite interpolation problem; interpolation; polygonal region; quadratic box splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1988:ASG, author = "Walter Gautschi and Sotirios E. Notaris", title = "An algebraic study of {Gauss--Kronrod} quadrature formulae for {Jacobi} weight functions", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "231--248", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "89f:65031", MRreviewer = "B. Boyanov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Purdue Univ., West Lafayette, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Gauss--Kronrod quadrature formulae; Gegenbauer weight function; integration; interlacing property; Jacobi weight functions; orthogonal polynomials", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Sidi:1988:UFE, author = "Avram Sidi", title = "A user-friendly extrapolation method for oscillatory infinite integrals", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "249--266", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (41A55 65B05)", MRnumber = "89e:65029", MRreviewer = "John P. Coleman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Haifa, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; convergence of numerical methods; convergence properties; extrapolation; function; integral equations; integrals; numerical examples; oscillatory infinite; user-friendly extrapolation method; W-transformation", treatment = "X Experimental", } @Article{Carlson:1988:TEI, author = "B. C. Carlson", title = "A Table of Elliptic Integrals of the Third Kind", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "267--280, S1--S5", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A25 (65A05)", MRnumber = "89k:33003", MRreviewer = "F. W. J. Olver", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290R (Integral equations); B0220 (Analysis); B0290D (Functional analysis); B0290M (Numerical integration and differentiation); C4180 (Integral equations); C1120 (Analysis); C4120 (Functional analysis); C4160 (Numerical integration and differentiation)", corpsource = "Iowa State Univ., Ames, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Cauchy principal values; elliptic integrals; FORTRAN listings; function evaluation; integral equations; integration; points; real singular; recurrence relations; standard R-functions", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Bohman:1988:SFD, author = "Jan Bohman and Carl-Erik Fr{\"o}berg", title = "The {Stieltjes} function---definition and properties", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "281--289", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M06 (11Y35 33A10 65B10)", MRnumber = "89i:11095", MRreviewer = "Herman J. J. te Riele", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290D (Functional analysis); B0200 (Engineering mathematics and mathematical techniques); C4120 (Functional analysis); C1100 (Mathematical techniques)", corpsource = "Lund Univ., Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "functions; Laurent series; Stieltjes constants; Stieltjes function; zeta function", treatment = "T Theoretical or Mathematical", } @Article{Garnett:1988:CAD, author = "Lucy Garnett", title = "A computer algorithm for determining the {Hausdorff} dimension of certain fractals", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "291--300", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "58F11 (30D05)", MRnumber = "89e:58070", MRreviewer = "Hermann Haase", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C7310 (Mathematics)", corpsource = "Baruch Coll., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computer algorithm; fractal; fractals; Hausdorff dimension; Julia set; mathematics computing; Newton method; nonintegral; numerical methods; quadratic mapping; self-expanding map", treatment = "T Theoretical or Mathematical", } @Article{Blecksmith:1988:SIP, author = "Richard Blecksmith and John Brillhart and Irving Gerst", title = "Some Infinite Product Identities", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "301--314", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "05A17 (05A19 11P57)", MRnumber = "89f:05017", MRreviewer = "David M. Bressoud", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Northern Illinois Univ., Dekalb, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "infinite product identities; Jacobi; nonexistence; number theory; power series expansions; series (mathematics); triple products", treatment = "T Theoretical or Mathematical", } @Article{Erdos:1988:LBC, author = "P. Erd{\H{o}}s and P. Kiss and A. S{\'a}rk{\"o}zy", title = "A Lower Bound for the Counting Function of {Lucas} Pseudoprimes", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "315--323", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B39 (11Y55)", MRnumber = "89e:11011", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Hungarian Acad. of Sci., Budapest, Hungary", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "counting function; Lucas; nondegenerate Lucas sequence; number theory; pseudoprimes", treatment = "T Theoretical or Mathematical", } @Article{Goetgheluck:1988:PDB, author = "Pierre Goetgheluck", title = "On Prime Divisors of Binomial Coefficients", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "325--329", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B65 (11A51 11Y05)", MRnumber = "89f:11033", MRreviewer = "H. J. Godwin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); B0290Z (Other numerical methods); C1160 (Combinatorial mathematics); C7310 (Mathematics); C4190 (Other numerical methods)", corpsource = "Paris-Sud Univ., Orsay, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "binomial coefficients; geometric distribution; number of distinct prime divisors; number theory; square divisors", treatment = "T Theoretical or Mathematical", } @Article{Rayner:1988:WUDb, author = "Francis J. Rayner", title = "Weak uniform distribution for divisor functions. {II}", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "331--337", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11N69 (11N37)", MRnumber = "89m:11093", MRreviewer = "Jean-Marie De Koninck", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Liverpool Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic function; divisor functions; functions; number theory; weak uniform distributed modulo n", treatment = "T Theoretical or Mathematical", } @Article{Silverman:1988:CHE, author = "Joseph H. Silverman", title = "Computing Heights on Elliptic Curves", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "339--358", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G05 (11D25 11Y40 14G25 14K15)", MRnumber = "89d:11049", MRreviewer = "Philippe Satg{\'e}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0290Z (Other numerical methods); B0250 (Combinatorial mathematics); C4190 (Other numerical methods); C1160 (Combinatorial mathematics)", corpsource = "Boston Univ., MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Archimedean local; canonical height; complex embeddings; computational geometry; elliptic curves; heights; number fields; number theory; series; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Gaal:1988:RIN, author = "Istv{\'a}n Ga{\'a}l", title = "On the resolution of inhomogeneous norm form equations in two dominating variables", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "359--373", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D57", MRnumber = "89m:11030", MRreviewer = "T. N. Shorey", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Kossuth Lajos Univ., Debrecen, Hungary", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equation; dominating variables; equations; inhomogeneous norm form; inhomogeneous Thue equations; number theory; numerical algorithm; numerical methods; real cubic field; reduction procedure; resolution; totally", treatment = "T Theoretical or Mathematical", } @Article{Zagier:1988:ALI, author = "Don Zagier", title = "Addendum to: {``Large integral points on elliptic curves''} {[Math. Comp. {\bf 48} (1987), no. 177, 425--436, MR 87k:11062]}", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "375--375", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G05 (11D25 11Y50)", MRnumber = "89c:11092", MRreviewer = "Andrew Bremner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Hughes-Hallett:1988:CCA, author = "A. J. Hughes-Hallett", title = "Corrigenda: {``The convergence of accelerated overrelaxation iterations''} {[Math. Comp. {\bf 47} (1986), no. 175, 219--223, MR 87g:65046]}", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "387--387", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10", MRnumber = "89d:65035", bibdate = "Wed Jan 15 09:19:43 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", xxnote = "MathSciNet has `Hughes-Hallett', but original 1986 paper has `Hughes Hallett' on cover page.", } @Article{Bramble:1988:CPT, author = "James H. Bramble and Joseph E. Pasciak", title = "Corrigenda: {``A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems''}", journal = j-MATH-COMPUT, volume = "51", number = "183", pages = "387--388", month = jul, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F10)", MRnumber = "89m:65097b", MRreviewer = "M. Zl{\'a}mal", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brenan:1988:SBD, author = "Kathryn E. Brenan and Bjorn E. Engquist", title = "Supplement to Backward Differentiation Approximations of Nonlinear Differential\slash Algebraic Systems", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "S7--S16", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1988:AMA, author = "James H. Bramble and Joseph E. Pasciak and Jin Chao Xu", title = "The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "389--414", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F10)", MRnumber = "89b:65260", MRreviewer = "Timothy Nigel Phillips", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithms; boundary value problems; boundary-value problems; coarsest; convergence; convergence behaviour; convergence of numerical methods; cycle; estimates; finest grid; full elliptic regularity; grid; indefinite elliptic; multigrid; nonsymmetric elliptic boundary value problems; smoothing; symmetric multigrid schemes; V-cycle algorithm; W-", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1988:CPE, author = "James H. Bramble and Joseph E. Pasciak and Alfred H. Schatz", title = "The construction of preconditioners for elliptic problems by substructuring. {III}", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "415--430", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F10)", MRnumber = "89e:65118", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations); C4170 (Differential equations); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary interface conditions; boundary-value problems; Chebyshev approximation; converge; convergence of numerical methods; discrete; elliptic boundary value; elliptic problems; equations; incomplete Chebyshev; iteration; iterative algorithms; iterative methods; number of unknowns; numerical approximation; preconditioners; problems; substructuring; systems", treatment = "T Theoretical or Mathematical", } @Article{Markowich:1988:IAT, author = "Peter A. Markowich and Milo{\v{s}} A. Zl{\'a}mal", title = "Inverse-average-type finite element discretizations of selfadjoint second-order elliptic problems", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "431--449", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "89a:65171", MRreviewer = "W. F. Ames", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Tech. Univ. Wien, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; coefficient function; diagonally dominant Stieltjes matrix; discretizations; element; estimate; finite element analysis; finite element solution; flux density; interpolation; inverse-average-type approximations; matrix algebra; mesh; piecewise linear interpolant; piecewise-linear techniques; selfadjoint second-order elliptic boundary; sides; special purpose piecewise linear finite element; stiffness matrix; value problems", treatment = "T Theoretical or Mathematical", } @Article{Monk:1988:IFE, author = "P. B. Monk", title = "An iterative finite element method for approximating the biharmonic equation", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "451--476", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N15 (65N30)", MRnumber = "89m:65095", MRreviewer = "O. Widlund", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Sci., Delaware Univ., Newark, DE, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximation theory; biharmonic; biharmonic model; clamped plate; conjugate gradient method; Dirichlet problems; discrete; equation; error estimates; finite element analysis; iterative; iterative finite element method; methods; mixed finite element method; Poisson equation; problem; simply supported", treatment = "T Theoretical or Mathematical", } @Article{Liu:1988:CGP, author = "X. Y. Liu and Y. M. Chen", title = "Convergence of a generalized pulse-spectrum technique ({GPST}) for inverse problems of $1$-{D} diffusion equations in space-time domain", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "477--489", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65P05 (35R30)", MRnumber = "89k:65157", MRreviewer = "N. L. Vulchanov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0560 (Transport processes: theory); A0260 (Numerical approximation and analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Peking Univ., China", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "1-D; C; convergence of numerical methods; derivative operator; diffusion; diffusion equations; dimensional diffusion equations; generalized pulse-spectrum technique; GPST; initial guess; inverse problems; invertible; iterative; iterative solutions; linear; methods; norm; one-; rate of convergence; regularized forward problem; regularized solution; solution; space-time domain; Tikhonov regularized", treatment = "T Theoretical or Mathematical", } @Article{Duran:1988:SMN, author = "R. Dur{\'a}n and R. H. Nochetto and Jun Ping Wang", title = "Sharp maximum norm error estimates for finite element approximations of the {Stokes} problem in {2-D}", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "491--506", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N15 76-08 76D99)", MRnumber = "89b:65261", MRreviewer = "M. M. Sussman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); C4130 (Interpolation and function approximation)", corpsource = "Univ. de Buenos Aires, Argentina", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2-D; abstract properties; approximation theory; approximations; bounded domain; equations; finite element; finite element analysis; finite element space; gradient; local; Navier--Stokes; plane; pressure fields; projection operator; sharp maximum norm error estimates; Stokes equations; Stokes problem; velocity-pressure mixed formulation", treatment = "T Theoretical or Mathematical", } @Article{Chiu:1988:CHO, author = "C. Chiu and R. A. Nicolaides", title = "Convergence of a higher-order vortex method for two-dimensional {Euler} equations", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "507--534", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76-08 76C05)", MRnumber = "89c:65117", MRreviewer = "David C. Arney", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340G (Fluid dynamics: general mathematical aspects); C4170 (Differential equations); C4110 (Error analysis in numerical methods); C7320 (Physics and Chemistry)", corpsource = "Dept. of Math., Carnegie Mellon Univ., Pittsburgh, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; dipolar algorithm; dynamics; error analysis; error estimates; fluid; higher-order vortex method; nonuniform mesh; partial differential equations; physics computing; point vortex methods; rate of convergence; two-dimensional Euler equations; vortex multipoles; vortices", treatment = "T Theoretical or Mathematical", } @Article{Sanders:1988:TOA, author = "Richard Sanders", title = "A third-order accurate variation nonexpansive difference scheme for single nonlinear conservation laws", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "535--558", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35L65)", MRnumber = "89c:65104", MRreviewer = "J. M. Sanz-Serna", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Houston Univ., TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; approximations; conservation laws; difference; equations; finite difference schemes; single nonlinear conservation laws; third-order scheme; variation nonexpansive", treatment = "T Theoretical or Mathematical", } @Article{Fishelov:1988:SSC, author = "Dalia Fishelov", title = "The spectrum and the stability of the {Chebyshev} collocation operator for transonic flow", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "559--579", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (76H05)", MRnumber = "89d:65083", MRreviewer = "David C. Arney", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4740H (Transonic flows); C4130 (Interpolation and function approximation); C7320 (Physics and Chemistry)", corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev collocation operator; dimensional heat equation; eigenvalues; equation; nonpositive; physics computing; small disturbance; spatial operator; spectral methods; spectrum; stability; transonic flow; two-", treatment = "T Theoretical or Mathematical", } @Article{Hagstrom:1988:ABC, author = "Thomas Hagstrom and S. I. Hariharan", title = "Accurate boundary conditions for exterior problems in gas dynamics", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "581--597", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M99 (76N99)", MRnumber = "89b:65232", MRreviewer = "David C. Arney", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4740D (General subsonic flows); A4735 (Waves); C4170 (Differential equations); C7320 (Physics and Chemistry)", corpsource = "State Univ. of New York, Stony Brook, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "aerodynamics; asymptotic solution; computing; exterior problems; far; field equations; gas dynamics; hyperbolic systems; no; nonlinear energy estimates; partial differential equations; physics; reflecting boundary condition; reflection; Riemann variables; spherical symmetry; waves", treatment = "T Theoretical or Mathematical", } @Article{Funaro:1988:NMI, author = "D. Funaro and D. Gottlieb", title = "A new method of imposing boundary conditions in pseudospectral approximations of hyperbolic equations", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "599--613", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N35", MRnumber = "89j:65078", MRreviewer = "A. Quarteroni", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Pavia Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximations; boundary conditions; boundary nodes; Chebyshev; Chebyshev approximation; convergence; eigenvalues; eigenvalues and eigenfunctions; linear scalar hyperbolic equations; parabolic equations; partial differential equations; pseudospectral; stability", treatment = "T Theoretical or Mathematical", } @Article{Canuto:1988:SMM, author = "Claudio Canuto", title = "Spectral Methods and a Maximum Principle", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "615--629", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N35)", MRnumber = "89d:65099", MRreviewer = "Dragoslav Herceg", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4715 (Laminar flows); C4130 (Interpolation and function approximation); C7320 (Physics and Chemistry); C4110 (Error analysis in numerical methods)", corpsource = "Parma Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "advection-diffusion operator; boundary layer; boundary layers; Chebyshev approximation; Chebyshev approximations; error analysis; error estimates; frequency space; Helmholtz operator; layer problem; maximum principle; model boundary; numerical method; physical space; physics computing; resolution power; solutions; spectral; spectral methods; width", treatment = "T Theoretical or Mathematical", } @Article{Gartland:1988:GMD, author = "Eugene C. {Gartland, Jr.}", title = "Graded-mesh difference schemes for singularly perturbed two-point boundary value problems", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "631--657", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10 (34E15)", MRnumber = "89d:65073", MRreviewer = "F. J. Murray", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Sci., Kent State Univ., OH, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; auxiliary conditions; boundary-value problems; compact finite-difference schemes; decaying exponential layer term; difference; differential operators; discretization error analysis; equations; error analysis; exponentially graded mesh; local; method of multiple scales; numerical approximation; polynomial basis functions; polynomials; singularly perturbed two-point boundary value problems; smooth outer component; stability", treatment = "T Theoretical or Mathematical", } @Article{Brenan:1988:BDA, author = "Kathryn E. Brenan and Bj{\"o}rn E. Engquist", title = "Backward differentiation approximations of nonlinear differential\slash algebraic systems", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "659--676, S7--S16", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "89a:65102", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation); C4170 (Differential equations); C4130 (Interpolation and function approximation)", corpsource = "Aerosp. Corp., El Segundo, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic; approximation theory; asymptotic convergence; backward differentiation approximations; backward differentiation method; convergence of numerical methods; difference approximations; difference equations; differential equations; differential systems; differentiation; dynamical systems; equations; finite; index three; index two; leading error terms; nonlinear; nonlinear algebraic systems; numerical initial values; problems; rates; semiexplicit", treatment = "T Theoretical or Mathematical", } @Article{vanVeldhuizen:1988:CRI, author = "M. {van Veldhuizen}", title = "Convergence Results for Invariant Curve Algorithms", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "677--697", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L99", MRnumber = "89b:65201", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Comput. Sci., Vrije Univ., Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation error; approximation theory; Aris; attracting; convergence of numerical methods; convergence result; invariant curve algorithms; Kevrekidis; Pelikan; Schmidt", treatment = "T Theoretical or Mathematical", } @Article{Fornberg:1988:GFD, author = "Bengt Fornberg", title = "Generation of finite difference formulas on arbitrarily spaced grids", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "699--706", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D25", MRnumber = "89b:65055", MRreviewer = "David C. Arney", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Exxon Res. and Eng. Co., Annandale, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arbitrarily spaced grids; compact; derivative; difference equations; finite difference formulas; grids; one-dimensional; recursions; weights", treatment = "T Theoretical or Mathematical", } @Article{Kim:1988:AZR, author = "Myong-Hi Kim", title = "On approximate zeros and rootfinding algorithms for a complex polynomial", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "707--719", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65H05 (30C15 65E05)", MRnumber = "90f:65073", MRreviewer = "G. Opfer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Southern California, Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate zeros; approximation theory; complex number; complex polynomial; converges; kth-order Euler method; Newton method; polynomials; rootfinding algorithms", treatment = "T Theoretical or Mathematical", } @Article{Tang:1988:FAL, author = "Ping Tak Peter Tang", title = "A fast algorithm for linear complex {Chebyshev} approximations", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "721--739", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30E10 (65D15 65E05)", MRnumber = "89j:30054", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C1180 (Optimisation techniques)", corpsource = "Argonne Nat. Lab., IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; best matrix polynomial approximations; Chebyshev approximation; complex plane; convergence of numerical methods; fast algorithm; linear complex Chebyshev approximations; minimax techniques; polynomials; quadratically convergent one; real approximations; Remez", treatment = "T Theoretical or Mathematical", } @Article{Rabinowitz:1988:CRP, author = "Philip Rabinowitz", title = "Convergence results for piecewise linear quadratures for {Cauchy} principal value integrals", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "741--747", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D30 (41A55)", MRnumber = "89k:65021", MRreviewer = "D. S. Lubinsky", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation); C4180 (Integral equations); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehoust, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; approximations; Cauchy principal value; convergence of numerical methods; integral equations; integrals; integration; piecewise linear; piecewise linear quadratures; piecewise-linear techniques; pointwise; uniform convergence", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1988:FGK, author = "Walter Gautschi and Theodore J. Rivlin", title = "A Family of {Gauss--Kronrod} Quadrature Formulae", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "749--754", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "89m:65029", MRreviewer = "Hans Strauss", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Gauss nodes; Gauss--Kronrod quadrature formulae; Gaussian quadrature formula; integration; Kronrod extension; Kronrod nodes; weights", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1988:CCR, author = "G. W. Stewart", title = "A Curiosity Concerning the Representation of Integers in Noninteger Bases", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "755--756", month = oct, year = "1988", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008775", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A63", MRnumber = "89c:11017", MRreviewer = "Graham Lord", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Theory/Matrix.bib", URL = "http://zbmath.org/?q=an:0699.10020", ZMnumber = "0699.10020", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C5230 (Digital arithmetic methods)", corpsource = "Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "digital arithmetic; digits; integers representation; noninteger bases; number theory", kwds = "math, number theory", treatment = "T Theoretical or Mathematical", } @Article{Eichenauer:1988:NCP, author = "J{\"u}rgen Eichenauer and J{\"u}rgen Lehn and Alev Topuzo{\v{g}}lu", title = "A nonlinear congruential pseudorandom number generator with power of two modulus", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "757--759", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11K45 65C05)", MRnumber = "89i:65007", MRreviewer = "J. Spanier", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Tech. Hochschule Darmstadt, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "maximal; necessary and sufficient condition; nonlinear congruential pseudorandom number generator; number theory; of two modulus; period length; power", treatment = "T Theoretical or Mathematical", } @Article{Malle:1988:PGG, author = "Gunter Malle", title = "Polynomials with {Galois} Groups $ \operatorname {Aut}({M}_{22}) $, $ {M}_{22} $, and {$ \operatorname {PSL}_3 ({\mathbb F}_4) \cdot 2_2 $} Over {$ {\mathbb Q} $}", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "761--768", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "12F10 (12-04 12E10 65H10)", MRnumber = "90h:12008", MRreviewer = "B. Heinrich Matzat", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ., Berlin, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic equations; Buchberger algorithm; Galois extensions; Galois groups; group theory; infinite families; nonlinear; p-modular version; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Mori:1988:FDT, author = "Shigefumi Mori and David R. Morrison and Ian Morrison", title = "On Four-Dimensional Terminal Quotient Singularities", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "769--786", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "14J35 (14B05 14J10)", MRnumber = "89i:14036", MRreviewer = "L. B{\u{a}}descu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra)", corpsource = "Dept. of Math., Columbia Univ., New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "antibicanonical linear; anticanonical; four-dimensional terminal cyclic quotient singularities; group theory; structure theorem; systems", treatment = "T Theoretical or Mathematical", } @Article{Cohn:1988:FTV, author = "Harvey Cohn", title = "{Fricke}'s Two-Valued Modular Equations", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "787--807", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11F03 (11F27)", MRnumber = "89f:11064", MRreviewer = "Toyokazu Hiramatsu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., City Univ. of New York, NY, USA", ajournal = "Math. Comput.", classcodes = "C1110 (Algebra); C4130 (Interpolation and function approximation)", classification = "C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., City Univ. of New York, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; Discriminant function; discriminant function; Fricke; MACSYMA; Polynomial relation; polynomial relation; polynomials; power; Power series approximations; series approximations; Theta functions; theta functions; Two-value modular equations; two-value modular equations", thesaurus = "Approximation theory; Polynomials", treatment = "T Theoretical or Mathematical", } @Article{Stephens:1988:CRQ, author = "A. J. Stephens and H. C. Williams", title = "Computation of real quadratic fields with class number one", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "809--824", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R11 (11R29 11Y40)", MRnumber = "90b:11106", MRreviewer = "Charles J. Parry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class number one; generalized Riemann hypothesis; number theory; real quadratic fields; regulator; Shanks", treatment = "T Theoretical or Mathematical", } @Article{Elkies:1988:XXX, author = "Noam D. Elkies", title = "On $ {A}^4 + {B}^4 + {C}^4 = {D}^4 $", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "825--835", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25 (11G35 11G40)", MRnumber = "89h:11012", MRreviewer = "David Grant", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Harvard Univ., Cambridge, MA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coprime natural; dense; elliptic curves; Euler; Fermat last theorem; number theory; numbers; real locus; Roger Frye", treatment = "T Theoretical or Mathematical", } @Article{Abbott:1988:ASP, author = "J. A. Abbott and J. H. Davenport", title = "Another surprising property of $ 42 $. {A} remark on a paper by {P. S. Wang}: {``Factoring multivariate polynomials over algebraic number fields''} {[Math. Comp. {\bf 30} (1976), no. 134, 324--336, MR {\bf 58} \#27887a]}", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "837--839", month = oct, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R09 (12-04)", MRnumber = "89d:11089", MRreviewer = "T. M. Apostol", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; Theory/Comp.Alg.1.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "Sch. of Math. Sci., Bath Univ., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number; bound; fields; number theory; polynomial factorization; polynomials; Reduce; Wang", treatment = "T Theoretical or Mathematical", } @Article{Buchmann:1989:SCI, author = "Johannes Buchmann and Attila Petho", title = "Supplement to Computation of Independent Units in Number Fields by {Dirichlet}'s Method", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "S1--S14", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brenner:1989:OOM, author = "Susanne C. Brenner", title = "An optimal-order multigrid method for {P1} nonconforming finite elements", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "1--15", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F10)", MRnumber = "89f:65119", MRreviewer = "Hong Ci Huang", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; elements; finite element analysis; optimal-order multigrid method; P1 nonconforming finite; second-order elliptic boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Comodi:1989:HHJ, author = "M. I. Comodi", title = "The {Hellan--Herrmann--Johnson} method: some new error estimates and postprocessing", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "17--29", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (73C35)", MRnumber = "89f:65120", MRreviewer = "N. Gass", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C1140Z (Other and miscellaneous)", corpsource = "Dipartimento di Matematica, Pavia Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; behaviour analysis; biharmonic problem; convergence of numerical methods; derivative; discrete equations; displacement; displacement approximation; error analysis; error estimates; error statistics; Hellan--Herrmann--Johnson method; interelement Lagrange; mixed Hellan-Hermann-Johnson method; multipliers; operator; postprocessing; projection; superconvergence result", treatment = "T Theoretical or Mathematical", } @Article{Stephan:1989:CVB, author = "E. P. Stephan and M. Suri", title = "On the convergence of the $p$-version of the boundary element {Galerkin} method", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "31--48", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20", MRnumber = "89h:65226", MRreviewer = "Hartmut Strese", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations); C1120 (Analysis)", corpsource = "Sch. of Math., Georgia Inst. of Technol., Altanta, GA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "acoustics; boundary element Galerkin method; boundary element schemes; boundary-elements methods; convergence of numerical methods; first-kind integral equations; Galerkin; integral equations; optimal error estimates; p-version; problems; singularity; three-dimensional exterior problems; two-dimensional screen", treatment = "T Theoretical or Mathematical", } @Article{Bellen:1989:NCE, author = "A. Bellen and Z. Jackiewicz and R. Vermiglio and M. Zennaro", title = "Natural continuous extensions of {Runge--Kutta} methods for {Volterra} integral equations of the second kind and their applications", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "49--63", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45L05)", MRnumber = "90e:65184", MRreviewer = "Baruch Cahlon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations); C1120 (Analysis); C4170 (Differential equations); C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Trieste Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; equations; evaluations; function approximation; grid points; integral equations; interval of integration; kernel; natural continuous extensions; NCEs; numerical solution; piecewise polynomial functions; polynomials; Runge--Kutta methods; second kind; tail approximations; Volterra integral", treatment = "T Theoretical or Mathematical", } @Article{Lie:1989:SMC, author = "Ivar Lie and Syvert P. N{\o}rsett", title = "Superconvergence for Multistep Collocation", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "65--79", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05", MRnumber = "89m:65069", MRreviewer = "H. Brunner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Trondheim Univ., Norway", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "collocation methods; collocation points; convergence of numerical methods; implicit; meshpoints; multistep Gaussian; multistep one-point; one-leg methods; one-step collocation methods; Runge--Kutta methods; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Sloan:1989:RLQ, author = "Ian H. Sloan and James N. Lyness", title = "The representation of lattice quadrature rules as multiple sums", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "81--94", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "90a:65053", MRreviewer = "S. Dubuc", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation); C1160 (Combinatorial mathematics); C1110 (Algebra); C1120 (Analysis)", corpsource = "New South Wales., Sydney, NSW, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abscissas; canonical form; classification; Conroy; copy rules; elementary group theory; group theory; independent summations; integration; Korobov; lattice quadrature rules; lattice rule; lower dimensions; multiple sums; N-point number-; number theory; positive integer invariants; product trapezoidal rule; projections; rank; representation; s-dimensional; theoretic rule", treatment = "T Theoretical or Mathematical", } @Article{Mastroianni:1989:CPF, author = "Giuseppe Mastroianni", title = "On the convergence of product formulas for the evaluation of certain two-dimensional {Cauchy} principal value integrals", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "95--101", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A55)", MRnumber = "90a:65049", MRreviewer = "G. A. Evans", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations); C1120 (Analysis)", corpsource = "Napoli Univ., Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; dimensional Cauchy principal value integrals; functions; integral equations; interpolatory type; numerical evaluation; product formulas; product rules; remainder estimates; two-", treatment = "T Theoretical or Mathematical", } @Article{Landriani:1989:PAD, author = "Giovanni Sacchi Landriani and Herv{\'e} Vandeven", title = "Polynomial approximation of divergence-free functions", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "103--130", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (41A10 65N35)", MRnumber = "89m:65021", MRreviewer = "A. Quarteroni", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C1110 (Algebra)", corpsource = "CNR, Pavia, Italy", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "divergence-free; divergence-free algebraic polynomial; divergence-free functions; estimate; function approximation; optimal; optimal result; polynomial approximation; polynomials; trigonometric polynomial", treatment = "T Theoretical or Mathematical", } @Article{Smith:1989:EMP, author = "David M. Smith", title = "Efficient multiple-precision evaluation of elementary functions", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "131--134", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D15 (26-04)", MRnumber = "90c:65034", MRreviewer = "Menachem Dishon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4120 (Functional analysis)", corpsource = "Dept. of Math., Loyola Univ., Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic; base b; elementary functions; function evaluation; multiple-precision evaluation", treatment = "T Theoretical or Mathematical", } @Article{Niederreiter:1989:STC, author = "Harald Niederreiter", title = "The serial test for congruential pseudorandom numbers generated by inversions", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "135--144", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11K45)", MRnumber = "90e:65008", MRreviewer = "Istv{\'a}n D{\'e}ak", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Austrian Acad. of Sci., Vienna, Austria", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bounds; character sums; congruential; congruential pseudorandom numbers; finite fields; independence properties; inversions; number theory; proof; pseudorandom number generators; random number generation; serial test; statistical; Stepanov bound; Weil-", treatment = "T Theoretical or Mathematical", } @Article{Eichenauer-Herrmann:1989:PLP, author = "J{\"u}rgen Eichenauer-Herrmann and Holger Grothe and J{\"u}rgen Lehn", title = "On the period length of pseudorandom vector sequences generated by matrix generators", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "145--148", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11K45)", MRnumber = "89g:65010", MRreviewer = "H. J. Godwin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra); C1160 (Combinatorial mathematics); C1110 (Algebra)", corpsource = "Tech. Hochschule Darmstadt, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "generators; matrix; matrix algebra; number theory; period length; prime; pseudorandom vector sequences; random number generation", treatment = "T Theoretical or Mathematical", } @Article{Buchmann:1989:CIU, author = "Johannes Buchmann and Attila Peth{\"o}", title = "Computation of independent units in number fields by {Dirichlet}'s method", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "149--159, S1--S14", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R27 (11J68 11Y40)", MRnumber = "90e:11162", MRreviewer = "Ken Nakamula", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Koln Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arbitrary number fields; basis reduction algorithm; Dirichlet method; fields; independent units; independent units computation; maximal systems; number; number theory", treatment = "T Theoretical or Mathematical", } @Article{Buchmann:1989:CTR, author = "Johannes Buchmann and David Ford", title = "On the computation of totally real quartic fields of small discriminant", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "161--174", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11Y40)", MRnumber = "89f:11147", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dusseldorf Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "discriminant; field isomorphism; Galois; groups; integral bases; number theory; redundant examples; small; totally real quartic fields", treatment = "T Theoretical or Mathematical", } @Article{Stroeker:1989:QTE, author = "R. J. Stroeker", title = "On Quartic {Thue} Equations with Trivial Solutions", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "175--187", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D25", MRnumber = "89f:11045", MRreviewer = "Andrew Bremner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Erasmus Univ., Rotterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Diophantine equation; field; negative absolute discriminant; number theory; quartic number; quartic Thue equations; real quadratic; subfield; trivial solutions", treatment = "T Theoretical or Mathematical", } @Article{Creutzburg:1989:PDC, author = "R. Creutzburg and M. Tasche", title = "Parameter determination for complex number-theoretic transforms using cyclotomic polynomials", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "189--200", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11T06 (11A07 11Y40 65E05 94A11)", MRnumber = "90e:11182", MRreviewer = "Charles J. Parry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Akad. der Wissenschaften der DDR, Berlin, East Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex number-theoretic; cyclotomic polynomials; Gaussian integers; number theory; parameter determination; prime factorization; transforms", treatment = "T Theoretical or Mathematical", } @Article{Bach:1989:FCP, author = "Eric Bach and Jeffrey Shallit", title = "Factoring with Cyclotomic Polynomials", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "201--219", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (12-04 68Q40)", MRnumber = "89k:11127", MRreviewer = "Kevin S. McCurley", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Wisconsin Univ., Madison, WI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number theory; composite; cyclotomic polynomials; generalized; integer factoring methods; number; number theory; prime divisor; Riemann hypotheses", treatment = "T Theoretical or Mathematical", } @Article{Young:1989:FOP, author = "Jeff Young and Aaron Potler", title = "First Occurrence Prime Gaps", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "221--224", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A41 (11Y11)", MRnumber = "89f:11019", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Cray Res. Inc., Mendola, MN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "first occurrence prime gaps; number theory", treatment = "T Theoretical or Mathematical", } @Article{Morain:1989:DEP, author = "Fran{\c{c}}ois Morain", title = "On the $ \operatorname {lcm} $ of the Differences of Eight Primes", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "225--229", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A41 (11A07 11Y05)", MRnumber = "92a:11011a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", note = "See corrigenda \cite{Morain:1990:CLD}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. de Math., Limoges Univ., France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "8-tuple conjecture; differences; eight primes; lcm; number theory", treatment = "T Theoretical or Mathematical", } @Article{Gordon:1989:NEP, author = "Daniel M. Gordon", title = "On the Number of Elliptic Pseudoprimes", journal = j-MATH-COMPUT, volume = "52", number = "185", pages = "231--245", month = jan, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11G05)", MRnumber = "89f:11169", MRreviewer = "Joseph H. Silverman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Georgia Univ., Athens, GA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "addition law; complex; elliptic curve; elliptic pseudoprimes; generalized Riemann hypothesis; GRH; infinite order; multiplication; number theory; point at infinity; prime", treatment = "T Theoretical or Mathematical", } @Article{Bales:1989:SCM, author = "Laurence A. Bales and Vassilios A. Dougalis", title = "Supplement to Cosine Methods for Nonlinear Second-Order Hyperbolic Equations", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "S15--S33", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Swartz:1989:SSO, author = "Blair Swartz", title = "Supplement to The Second-Order Sharpening of Blurred Smooth Borders", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "S35--S36", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Aziz:1989:CFE, author = "A. K. Aziz and Peter Monk", title = "Continuous finite elements in space and time for the heat equation", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "255--274", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "90d:65189", MRreviewer = "Shu Min Shen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Maryland Univ., Catonsville, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximating; approximation; collocating; continuous finite elements; Crank--Nicolson Galerkin method; differential equations; error estimates; finite element analysis; function; heat equation; methods; space; stepping; time", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1989:FEG, author = "I. Babu{\v{s}}ka and J. E. Osborn", title = "Finite element-{Galerkin} approximation of the eigenvalues and eigenvectors of selfadjoint problems", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "275--297", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65N25)", MRnumber = "89k:65132", MRreviewer = "Randall J. LeVeque", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Inst. of Phys. Sci. and Technol., Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "asymptotic behavior; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; estimates; finite element; finite element analysis; function approximation; Galerkin approximations; selfadjoint eigenvalue problems", treatment = "T Theoretical or Mathematical", } @Article{Bales:1989:CMN, author = "Laurence A. Bales and Vassilios A. Dougalis", title = "Cosine methods for nonlinear second-order hyperbolic equations", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "299--319, S15--S33", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60", MRnumber = "89k:65113", MRreviewer = "B. M. Herbst", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Tennessee Univ., Knoxville, TN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; error estimates; extrapolation; Galerkin; hyperbolic equations; initial value; linear systems; nonlinear; partial differential equations; preconditioned iterative techniques; problems; smooth solutions; type discretizations", treatment = "T Theoretical or Mathematical", } @Article{Bayliss:1989:SPU, author = "Alvin Bayliss and Yanyan Li and Cathleen Synge Morawetz", title = "Scattering by a Potential Using Hyperbolic Methods", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "321--338", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M99 (65N99 81F99)", MRnumber = "89m:65088", MRreviewer = "Luis V{\'a}zquez", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0365N (Nonrelativistic scattering theory); A0365G (Solutions of wave equations: bound state); A0260 (Numerical approximation and analysis)", corpsource = "Dept. of Eng. Sci and Appl. Math., Northwestern Univ., Evanston, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "back scattering; boundary layer; equation; forward problem; hyperbolic methods; incoming plane wave; inverse; inverse problems; numerical time-dependent; potential; potential scattering; propagating delta function; scattered wave; scattering pattern; wave; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1989:IIM, author = "James H. Bramble and Joseph E. Pasciak and Peter H. Sammon and Vidar Thom{\'e}e", title = "Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "339--367", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N10 (65N20)", MRnumber = "89i:65101", MRreviewer = "M. K. Kadalbajoo", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "backward difference methods; boundary value problems; boundary-value problems; difference equations; experiments; iterations; iterative; methods; multistep; numerical; numerical methods; parabolic problems", treatment = "T Theoretical or Mathematical", } @Article{Browning:1989:CNM, author = "G. L. Browning and H.-O. Kreiss", title = "Comparison of numerical methods for the calculation of two-dimensional turbulence", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "369--388", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65P05 (76-08 76F99)", MRnumber = "90i:65223", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A4725 (Turbulent flows, convection, and heat transfer); A0260 (Numerical approximation and analysis)", corpsource = "Nat. Center for Atmospheric Res., Boulder, CO, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergent; incompressible Navier--Stokes equations; Navier--Stokes equations; numerical analysis; numerical methods; pseudospectral approximations; pseudospectral model; turbulence; two-dimensional turbulence", treatment = "T Theoretical or Mathematical", } @Article{Cai:1989:ENS, author = "Wei Cai and David Gottlieb and Chi-Wang Shu", title = "Essentially Nonoscillatory Spectral {Fourier} Methods for Shock Wave Calculations", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "389--410", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M99", MRnumber = "90a:65212", MRreviewer = "Dennis C. Jespersen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4740 (Compressible flows; shock and detonation phenomena); A0230 (Function theory, analysis)", corpsource = "Div. of Appl. Maths., Brown Univ., Providence, RI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Fourier transforms; function; hyperbolic partial differential equations; inviscid Burgers equation; method; nonoscillatory; nonsmooth; partial differential equations; shock; shock wave calculations; spectral Fourier; spectral solution; trigonometric polynomials; waves", treatment = "T Theoretical or Mathematical", } @Article{Cockburn:1989:TRK, author = "Bernardo Cockburn and Chi-Wang Shu", title = "{TVB Runge--Kutta} local projection discontinuous {Galerkin} finite element method for conservation laws. {II}. {General} framework", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "411--435", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60 (35L65 65N30)", MRnumber = "90k:65160", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0260 (Numerical approximation and analysis); A0230 (Function theory, analysis)", corpsource = "Sch. of Math., Minnesota Univ., Minneapolis, MN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary-value problems; conservation; conservation laws; convergence; convergence of; discontinuous Galerkin finite element method; finite element analysis; initial value; initial-boundary; laws; numerical methods; problems; TVBM; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Crouzeix:1989:NFE, author = "Michel Crouzeix and Richard S. Falk", title = "Nonconforming finite elements for the {Stokes} problem", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "437--456", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76-08 76D07)", MRnumber = "89i:65113", MRreviewer = "Markku Lindroos", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A0260 (Numerical approximation and analysis)", corpsource = "Math. IRISA, Rennes I Univ., Campus de Beaulieu, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; finite element analysis; fluid dynamics; piecewise cubic approximations; piecewise quadratic; stability; stability result; stationary Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{DelPrete:1989:QCV, author = "Vincenza {Del Prete}", title = "Quadratic Convergence of Vortex Methods", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "457--470", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76-08 (65M10 76C05)", MRnumber = "90a:76023", MRreviewer = "J. Thomas Beale", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces); A0260 (Numerical approximation and analysis)", corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "continuously differentiable; convergence of numerical methods; flows; initial vorticity; positive cutoffs; quadratic convergence; two-dimensional; vortex methods; vortices", treatment = "T Theoretical or Mathematical", } @Article{Dougherty:1989:NMC, author = "Randall L. Dougherty and Alan S. Edelman and James M. Hyman", title = "Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic {Hermite} interpolation", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "471--494", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A05 (65D05)", MRnumber = "89i:41006", MRreviewer = "Eli Passow", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Div. of Theor., Los Alamos Nat. Lab., NM, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convexity; cubic; Hermite interpolation; Hermite polynomials; interpolation; monotonicity; polynomials; positivity; quintic", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1989:ASF, author = "Jim {Douglas, Jr.} and Jun Ping Wang", title = "An absolutely stabilized finite element method for the {Stokes} problem", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "495--508", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (76-08 76D07)", MRnumber = "89j:65069", MRreviewer = "Georges A. Lebaud", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A0260 (Numerical approximation and analysis)", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "absolutely stabilized; error; estimates; finite element analysis; finite element approximation; fluid dynamics; stability; stabilized; Stokes problem", treatment = "T Theoretical or Mathematical", } @Article{Engquist:1989:NFE, author = "Bj{\"o}rn Engquist and Per L{\"o}tstedt and Bj{\"o}rn Sj{\"o}green", title = "Nonlinear Filters for Efficient Shock Computation", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "509--537", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (35L65)", MRnumber = "90a:65193", MRreviewer = "A. O. Oganesyan", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4740 (Compressible flows; shock and detonation phenomena); A0260 (Numerical approximation and analysis)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "calculations; conservation laws; difference equations; discontinuous solution; filter; hyperbolic conservation laws; numerical approximation; numerical methods; sharp discrete shocks; shock; shock waves", treatment = "T Theoretical or Mathematical", } @Article{Garabedian:1989:DLH, author = "P. R. Garabedian", title = "Design of a large helical system for magnetic fusion experiments", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "539--543", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76W05 (65N99 76-04 76X05)", MRnumber = "90a:76156", MRreviewer = "R. K. Jain", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A2852J (Theory and design); A5255G (Plasma in torus (stellarator, tokamak, etc.)); A5230 (Plasma flow; magnetohydrodynamics)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "differential equations; equations; equilibrium; experiments; fusion reactor theory and design; helical coil winding law; ideal magnetohydrodynamics; large helical system; magnetic fusion experiments; partial; partial differential; plasma; plasma magnetohydrodynamics; stellarator; stellarators; toroidal", treatment = "T Theoretical or Mathematical", } @Article{Gelman:1989:CFI, author = "Alex Gelman and Werner C. Rheinboldt", title = "On the computation of finite invariant sets of mappings", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "545--551", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "58F25 (39B10 58F08 65H10)", MRnumber = "89h:58164", MRreviewer = "T. Y. Li", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Math. and Stat., Pittsburgh Univ., PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "closed curves; computational difficulties; finite invariant; formulas; large linear systems; linear systems; recurrence; set of mappings; set theory", treatment = "T Theoretical or Mathematical", } @Article{Isaacson:1989:CPC, author = "David Isaacson and Eli L. Isaacson", title = "Comment on {A.-P. Calder{\'o}n}'s paper: {``On an inverse boundary value problem'' [in {\em Seminar on Numerical Analysis and its Applications to Continuum Physics} (Rio de Janeiro, 1980), 65--73, Soc. Brasil. Mat., Rio de Janeiro, 1980, MR 81k:35160]}", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "553--559", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "35R30 (35K60)", MRnumber = "90f:35201", MRreviewer = "Peter Knabner", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A7210 (Theory of electronic transport; scattering mechanisms)", corpsource = "Dept. of Math., Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; boundary-value problems; clinical; conducting body; conductivity; electrical conductivity of solids; homogeneous concentric conducting disks; inverse boundary value problem; monitoring; perturbation; spatial regions", treatment = "T Theoretical or Mathematical", } @Article{Keeling:1989:GRK, author = "Stephen L. Keeling", title = "{Galerkin}\slash {Runge--Kutta} discretizations for parabolic equations with time-dependent coefficients", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "561--586", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65M60)", MRnumber = "90a:65239", MRreviewer = "Ervin Schechter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Vanderblit Univ., Nashville, TN, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "coefficients; computational results; convergence rate; error estimates; Galerkin/Runge--Kutta methods; initial value problems; iterative technique; linear; Parabolic equations; parabolic initial-boundary value problems; partial differential equations; Runge--Kutta methods; time-dependent", treatment = "T Theoretical or Mathematical", } @Article{Mostrel:1989:SNS, author = "Marco Mosch{\'e} Mostrel", title = "On some numerical schemes for transonic flow problems", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "587--613", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M05 (76H05)", MRnumber = "90b:65171", MRreviewer = "D. Schultz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4740H (Transonic flows); A0260 (Numerical approximation and analysis); A0230 (Function theory, analysis)", corpsource = "Bell Commun. Res., Piscataway, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "difference equations; differential equations; Entropy Stability; finite difference approximations; flux limiters; Global Linear Stability; nonlinear PDE's; numerical methods; partial; splitting algorithm; thin airfoil; time; Total Variation Diminishing; transonic flow; transonic flow problems; transonic small disturbance equation", treatment = "T Theoretical or Mathematical", } @Article{Puckett:1989:CRP, author = "Elbridge Gerry Puckett", title = "Convergence of a random particle method to solutions of the {Kolmogorov} equation $ u_t = \nu u_{xx} + u(1 - u) $", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "615--645", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C05 (65M99)", MRnumber = "90h:65008", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0540 (Fluctuation phenomena, random processes, and Brownian motion); A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory)", corpsource = "Lawrence Livermore Nat. Lab., CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence of numerical methods; diffusion; Kolmogorov equation; processes; random; random particle method; rate of convergence; reaction-diffusion equation; walking", treatment = "T Theoretical or Mathematical", } @Article{Roberts:1989:CRW, author = "Stephen Roberts", title = "Convergence of a random walk method for the {Burgers} equation", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "647--673", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (65U05 76-08)", MRnumber = "89i:65090", MRreviewer = "Ben-Yu Guo", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A0550 (Lattice theory and statistics; Ising problems); A0540 (Fluctuation phenomena, random processes, and Brownian motion)", corpsource = "Centre for Math. Anal., Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Burgers equation; convergence; convergence of numerical methods; fluid dynamics; lattice; nonlinear advection; partial differential equations; random processes; random walk method; term; theory and statistics; velocity field; viscous splitting algorithm", treatment = "T Theoretical or Mathematical", } @Article{Swartz:1989:SOS, author = "Blair Swartz", title = "The second-order sharpening of blurred smooth borders", journal = j-MATH-COMPUT, volume = "52", number = "186", pages = "675--714, S35--S36", month = apr, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D99 (65P05)", MRnumber = "90f:65041", MRreviewer = "David C. Arney", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods)", corpsource = "Div. of Theor., California Univ., Los Amos Nat. Lab., NM, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "adjacent line segments; blurred smooth borders; boundary; curvature estimates; fluid dynamics; scaled blurrings; second-order accuracy; smooth", treatment = "T Theoretical or Mathematical", } @Article{Boyd:1989:SRP, author = "David W. Boyd", title = "Supplement to Reciprocal Polynomials having Small Measure. {II}", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "S1--S5", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Brent:1989:SNL, author = "Richard P. Brent and Graeme L. Cohen", title = "Supplement to {A} New Lower Bound for Odd Perfect Numbers", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "S7--S24", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bramble:1989:CPE, author = "James H. Bramble and Joseph E. Pasciak and Alfred H. Schatz", title = "The construction of preconditioners for elliptic problems by substructuring. {IV}", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "1--24", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (65F35)", MRnumber = "89m:65098", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic system of; boundary-value problems; condition number; discretization; domain decomposition; elliptic boundary value problems; equations; parallel computing architectures; preconditioned system; preconditioners; substructuring; three-dimensional Euclidean space", treatment = "T Theoretical or Mathematical", } @Article{Crouzeix:1989:EES, author = "M. Crouzeix and V. Thom{\'e}e and L. B. Wahlbin", title = "Error estimates for spatially discrete approximations of semilinear parabolic equations with initial data of low regularity", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "25--41", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N10", MRnumber = "90a:65217", MRreviewer = "Menachem Dishon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Rennes I Univ., France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; computational complexity; convergence; convergence rate; discretization parameter; element methods; error analysis; error estimates; estimation theory; finite element analysis; low regularity data; of numerical methods; semidiscrete finite; semilinear parabolic equations; sharp; spatially discrete approximations", treatment = "T Theoretical or Mathematical", } @Article{Geveci:1989:CTD, author = "T. Geveci", title = "On the convergence of a time discretization scheme for the {Navier--Stokes} equations", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "43--53", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M10 (35Q10 76-08 76D05)", MRnumber = "89m:65085", MRreviewer = "W. F. Ames", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4710 (General theory, simulation and other computational methods); A0260 (Numerical approximation and analysis)", corpsource = "Dept. of Math. Sci., San Diego Univ., CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximation theory; convergence; convergence of numerical methods; equations; H/sup 1/-norm; implicit Euler scheme; linearized version; Navier--Stokes; Navier--Stokes equations; time discretization scheme; two-dimensional domain", treatment = "T Theoretical or Mathematical", } @Article{Schatzman:1989:NAW, author = "Michelle Schatzman and Michel Bercovier", title = "Numerical approximation of a wave equation with unilateral constraints", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "55--79", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M25 (65N30)", MRnumber = "89k:65112", MRreviewer = "A. O. Garder", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340K (Waves and wave propagation: general mathematical aspects); A0260 (Numerical approximation and analysis); A0320 (Classical mechanics of discrete systems: general mathematical aspects)", corpsource = "Dept. de Math., Claude-Bernard Univ., Villeurbanne, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; bodies; boundary conditions; convergence; convergence of numerical methods; difference equations; equation; existence; finite difference schemes; finite element analysis; finite element schemes; longitudinal vibrations; motion; numerical approximation; rigid obstacle; rod; unilateral condition; unilateral constraints; uniqueness; variational formulation; vibrating; wave; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Hundsdorfer:1989:SCP, author = "W. H. Hundsdorfer and J. G. Verwer", title = "Stability and convergence of the {Peaceman--Rachford ADI} method for initial-boundary value problems", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "81--101", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N40 (65M20)", MRnumber = "90h:65195", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C1120 (Analysis)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "alternating direction implicit; approach; boundary-value problems; constant; convergence; convergence of numerical methods; differential equations; discretization; grid spacing; initial value problems; initial-boundary; lines; Lipschitz condition; nonlinear differential equations; one-sided; partial; partial differential equations; Peaceman--Rachford ADI method; semidiscrete system; space; stability; stiff nonlinear ordinary differential equations; two space dimensions; unconditional; value problems", treatment = "T Theoretical or Mathematical", } @Article{Heinrichs:1989:ICN, author = "Wilhelm Heinrichs", title = "Improved Condition Number for Spectral Methods", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "103--119", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30", MRnumber = "90h:65180", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C1110 (Algebra); C4240 (Programming and algorithm theory)", corpsource = "Dusseldorf Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; condition number; constant coefficient; direct solver; first-order; maximal degree of; polynomials; preconditioning; problems; propagation of rounding errors; spectral methods; variable coefficient problems", treatment = "T Theoretical or Mathematical", } @Article{Thomee:1989:EES, author = "Vidar Thom{\'e}e and Nai Ying Zhang", title = "Error estimates for semidiscrete finite element methods for parabolic integro-differential equations", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "121--139", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (65M60)", MRnumber = "90h:65221", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C1120 (Analysis)C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "convergence; convergence of numerical methods; discrete; element analysis; error analysis; error estimates; exact solution; finite; homogeneous equation; integral kernel; integro-differential equations; linear parabolic equations; nonsmooth initial data; parabolic integro-differential equations; partial differential operator; positive time; semidiscrete finite element methods; smooth; spatially", treatment = "T Theoretical or Mathematical", } @Article{Borgers:1989:NSR, author = "Christoph B{\"o}rgers", title = "On the numerical solution of the regularized {Birkhoff} equations", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "141--156", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "76C05 (76-08 76D25)", MRnumber = "90g:76037", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces); A0260 (Numerical approximation and analysis)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximations; convergence; convergence of numerical methods; evolution; fixed regularization; Krasny; numerical; numerical solution; numerical test; problem; regularized Birkhoff equations; two-dimensional inviscid jet; vortex sheets; vortices", treatment = "T Theoretical or Mathematical", } @Article{Eggermont:1989:UEE, author = "P. P. B. Eggermont", title = "Uniform error estimates of {Galerkin} methods for monotone {Abel--Volterra} integral equations on the half-line", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "157--189", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45D05 47H17)", MRnumber = "90h:65216", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4110 (Error analysis in numerical methods); C1120 (Analysis)C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Delaware, Newark, DE, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "2/ theory; error analysis; Galerkin methods; half-line; integral equations; Kolodner theory; L/sup; L/sup infinity / theory; L/sup infinity /-spectra; monotone Abel-; monotone Hammerstein equations; operators; second kind; uniform error estimates; Volterra integral equations", treatment = "T Theoretical or Mathematical", } @Article{Marsaglia:1989:NSS, author = "George Marsaglia and Arif Zaman and John C. W. Marsaglia", title = "Numerical solution of some classical differential-difference equations", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "191--201", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L05 (65Q05)", MRnumber = "90h:65124", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C1120 (Analysis)", corpsource = "Dept. of Stat., Florida State Univ., Tallahassee, FL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "classical differential-difference equations; classical problems; difference equations; differential equations; numerical; solutions", treatment = "T Theoretical or Mathematical", } @Article{Evans:1989:DNS, author = "D. J. Evans and C. Li", title = "Determination of the $ {D}^{1 / 2}$-norm of the {SOR} iterative matrix for the unsymmetric case", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "203--218", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (65N99)", MRnumber = "90h:65050", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra); C4130 (Interpolation and function approximation); C1110 (Algebra)", corpsource = "Dept. of Comput. Studies, Loughborough Univ. of Technol., UK", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebra; coefficient matrix; D/sup 1/2/-norm; eigenvalue; eigenvalues and eigenfunctions; grade 2; iterative matrix; iterative methods; Jacobi; Jordan canonical form; matrix; optimum parameter; principal; SOR iterative matrix; spectral radius; unsymmetric case; vectors", treatment = "T Theoretical or Mathematical", } @Article{Chui:1989:DBS, author = "Charles K. Chui and Tian Xiao He", title = "On the Dimension of Bivariate Superspline Spaces", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "219--234", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A15", MRnumber = "90c:41014", MRreviewer = "L. L. Schumaker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C1110 (Algebra)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; bivariate piecewise polynomial function; bivariate superspline spaces; bounds; dimension; element; finite; full approximation order; grid partition; lower; order continuous partial derivatives; polynomials; quasi-crosscut partitions; rth; splines (mathematics); upper bounds; vertex splines; vertices", treatment = "T Theoretical or Mathematical", } @Article{Meinardus:1989:APP, author = "G. Meinardus and G. N{\"u}rnberger and M. Sommer and H. Strauss", title = "Algorithms for piecewise polynomials and splines with free knots", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "235--247", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D07 (41A15)", MRnumber = "90d:65033", MRreviewer = "Yury Girshovich", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C1110 (Algebra)", corpsource = "Mannheim Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; approximation theory; approximations; convergence; free knots; nonlinear; piecewise polynomial approximations; piecewise-linear techniques; points; polynomials; spline; splines (mathematics); systems", treatment = "T Theoretical or Mathematical", } @Article{Egecioglu:1989:FAR, author = "{\"O}mer E{\u{g}}ecio{\u{g}}lu and Cetin K. Koc", title = "A fast algorithm for rational interpolation via orthogonal polynomials", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "249--264", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (33A65 41A05)", MRnumber = "90a:65015", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory); C1110 (Algebra)", corpsource = "Dept. of Comput. Sci., California Univ., Santa Barbara, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algorithm; arithmetic; classical three-term; computational complexity; data points; data set; denominator; interpolation; Newton interpolation; numerator polynomials; operations; orthogonal polynomials; polynomials; rational interpolants; rational interpolating function; rational interpolation; recurrence relation", treatment = "T Theoretical or Mathematical", } @Article{Fischer:1989:NIF, author = "Bernd Fischer and Lothar Reichel", title = "{Newton} interpolation in {Fej{\'e}r} and {Chebyshev} points", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "265--278", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D05 (30E10 65E05)", MRnumber = "90f:65015", MRreviewer = "H. P. Dikshit", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C1110 (Algebra)", corpsource = "Hamburg Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "analytic; analytic function; approximation; Chebyshev approximation; Chebyshev points; compact set; complex plane; continuation; convergence; Corput sequence; curve; exterior; Fejer points; interpolation; interpolation formula; interpolation point; interpolation points; interval; Jordan; Newton; perturbations; polynomial; polynomials; smooth; van der", treatment = "T Theoretical or Mathematical", } @Article{Rabinowitz:1989:NIR, author = "P. Rabinowitz and D. S. Lubinsky", title = "Noninterpolatory integration rules for {Cauchy} principal value integrals", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "279--295", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "41A55 (65D30)", MRnumber = "90b:41050", MRreviewer = "C. Dagnino", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation); C1120 (Analysis); C4180 (Integral equations)", corpsource = "Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "admissible weight; associated sequence; Cauchy principal value integrals; convergence; convergence of numerical methods; integral equations; integration; noninterpolatory integration rules; orthonormal polynomials", treatment = "T Theoretical or Mathematical", } @Article{Xu:1989:WFC, author = "Yuan Xu", title = "Weight Functions for {Chebyshev} Quadrature", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "297--302", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "90b:65038", MRreviewer = "Marc Duc-Jacquet", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C1120 (Analysis)", corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev quadrature; integration; rational function; weight function", treatment = "T Theoretical or Mathematical", } @Article{Locher:1989:FGJ, author = "F. Locher", title = "A Family of Generalized {Jacobi} Polynomials", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "303--309", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A65", MRnumber = "90b:33025", MRreviewer = "T. S. Chihara", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C1110 (Algebra)", corpsource = "Fern Univ., Hagen, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev approximation; Chebyshev moments; explicit representation; generalized Jacobi polynomials; generalized Jacobi weight function; orthogonal polynomials; polynomials; recurrence relations", treatment = "T Theoretical or Mathematical", } @Article{Borwein:1989:MI, author = "J. M. Borwein and P. B. Borwein", title = "On the Mean Iteration $ (a, b) \leftarrow \big (\frac {a + 3b}{4}, \frac {\sqrt {ab} + b}{2} \big) $", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "311--326", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30D05 (33A25)", MRnumber = "90a:30075", MRreviewer = "Carl C. Cowen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Stat. and Comput. Sci., Dalhousie Univ., Halifax, NS, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computation; convergence of numerical methods; converging process; iterative methods; iterative process; limit; mean iteration; nontrivial identifications; quadratically; symbolic; uniformizing parameters", treatment = "T Theoretical or Mathematical", } @Article{Carlson:1989:TEI, author = "B. C. Carlson", title = "A Table of Elliptic Integrals: Cubic Cases", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "327--333", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65A05 (33A25 65D20)", MRnumber = "89m:65009", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4180 (Integral equations); C1120 (Analysis)", corpsource = "Dept. of Math., Iowa State Univ., Ames, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cubic polynomial; elliptic; elliptic integral; first kind; Fortran codes; functions; integral equations; integrals; integration interval; R-; rational integrands; real zeros; second kind; square root; table; third kind", treatment = "T Theoretical or Mathematical", } @Article{Loiseau:1989:IHI, author = "J. F. Loiseau and J. P. Codaccioni and R. Caboz", title = "Incomplete hyperelliptic integrals and hypergeometric series", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "335--342", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33A35", MRnumber = "90b:33016", MRreviewer = "W. A. Al-Salam", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation); C1100 (Mathematical techniques)", corpsource = "Lab. de Phys. Appliqu{\'e}e, Univ. de Pau et des Pays de l'Adour, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic equations; convergent; hyperelliptic integrals; hypergeometric series; integration; mechanics; series; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Afflerbach:1989:EDR, author = "Lothar Afflerbach and Rainer Weilb{\"a}cher", title = "The exact determination of rectangle discrepancy for linear congruential pseudorandom numbers", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "343--354", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65C10 (11K45)", MRnumber = "90h:65009", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4190 (Other numerical methods); C6130 (Data handling techniques)", corpsource = "Tech. Hochschule Darmstadt, West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computation time; generators; linear congruential; number generators; pseudorandom; random number generation; rectangle discrepancy", treatment = "T Theoretical or Mathematical", } @Article{Boyd:1989:RPH, author = "David W. Boyd", title = "Reciprocal Polynomials having Small Measure. {II}", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "355--357, S1--S5", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30C15 (12-04 26C05 65D20)", MRnumber = "89m:30013", MRreviewer = "M. Marden", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra)", corpsource = "Dept. of Math., British Columbia Univ., Vancouver, BC, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integer coefficients; polynomials; reciprocal polynomials; roots; small measure; statistics", treatment = "T Theoretical or Mathematical", } @Article{Rusin:1989:CGO, author = "David J. Rusin", title = "The Cohomology of the Groups of Order $ 32 $", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "359--385", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "20J06", MRnumber = "89k:20078", MRreviewer = "L. R. Vermani", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra)", corpsource = "Dept. of Math., Northern Illinois Univ., Dekalb, IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cohomology; cohomology rings; finite groups; group theory; groups; mod-2 cohomology ring; modular; order 32", treatment = "T Theoretical or Mathematical", } @Article{Buchmann:1989:CUG, author = "J. Buchmann and M. Pohst and J. {von Schmettow}", title = "On the computation of unit groups and class groups of totally real quartic fields", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "387--397", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11R16 11R27 11R80)", MRnumber = "90e:11192", MRreviewer = "Ken Nakamula", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C5230 (Digital arithmetic methods)", corpsource = "Dusseldorf Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "class groups; computation; fundamental units; group theory; number theory; totally real quartic fields; unit groups", treatment = "T Theoretical or Mathematical", } @Article{Pintz:1989:ISP, author = "J{\'a}nos Pintz and William L. Steiger and Endre Szemer{\'e}di", title = "Infinite sets of primes with fast primality tests and quick generation of large primes", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "399--406", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11Y16)", MRnumber = "90b:11141", MRreviewer = "Andreas Guthmann", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Math. Inst., Hungarian Acad. of Sci., Budapest, Hungary", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computational complexity; fast primality tests; fast verification; large primes; number theory; polynomial time; quick generation; sets of primes", treatment = "T Theoretical or Mathematical", } @Article{McDaniel:1989:SPR, author = "Wayne L. McDaniel", title = "Some pseudoprimes and related numbers having special forms", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "407--409", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A07 (11Y99)", MRnumber = "89m:11006", MRreviewer = "G. Turnwald", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math. and Comput. Sci., Missouri Univ., St Louis, MO, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "number theory; prime factors; pseudoprimes; related numbers", treatment = "T Theoretical or Mathematical", } @Article{Dubner:1989:NMP, author = "H. Dubner", title = "A new method for producing large {Carmichael} numbers", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "411--414", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A51 (11Y11)", MRnumber = "89m:11013", MRreviewer = "Lawrence Somer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C5230 (Digital arithmetic methods); C1160 (Combinatorial mathematics)", corpsource = "Dubner Comput. Syst., Paramus, NJ, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Carmichael numbers; number theory; two primes", treatment = "T Theoretical or Mathematical", } @Article{Miyamoto:1989:EP, author = "Ian Miyamoto and M. Ram Murty", title = "Elliptic Pseudoprimes", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "415--430", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11G05 (11A51 11Y11)", MRnumber = "89j:11055", MRreviewer = "M. J. Narlikar", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math. and Stat., McGill Univ., Montreal, Que., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "complex multiplication; elliptic; number theory; pseudoprime; quadratic field", treatment = "T Theoretical or Mathematical", } @Article{Brent:1989:NLB, author = "Richard P. Brent and Graeme L. Cohen", title = "A New Lower Bound for Odd Perfect Numbers", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "431--437, S7--S24", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A25 (11Y05 11Y70)", MRnumber = "89m:11008", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C5230 (Digital arithmetic methods); C1160 (Combinatorial mathematics)", corpsource = "Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "elliptic curve method; factorizations; lower bound; number theory; odd perfect numbers", treatment = "T Theoretical or Mathematical", } @Article{Noll:1989:C, author = "Landon Curt Noll and David I. Bell", title = "$n$-clusters for $ 1 < n < 7$", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "439--444", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "52A37", MRnumber = "89j:52008", MRreviewer = "L. M. Kelly", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "integers; lattice points; mutual distances; n-cluster; nonzero; number theory; topology", treatment = "T Theoretical or Mathematical", } @Article{Nochetto:1989:SEM, author = "Ricardo H. Nochetto", title = "A stable extrapolation method for multidimensional degenerate parabolic problems", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "455--470", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65N30 (35K55 35K65 65N15)", MRnumber = "90e:65160", MRreviewer = "Manfred Dobrowolski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Inst. of Phys. Sci. and Technol., Maryland Univ., College Park, MD, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic system; algorithm; approximation parameters; approximation theory; computational complexity; conjugate gradient method; convergence; energy error estimates; error; error analysis; extrapolation; finite element extrapolation; iterative; linear; linear problem; matrix; method; multidimensional degenerate; of numerical methods; parabolic problems; phase variable; physical unknowns; preliminary; rate of convergence; reduction; regularization procedure; space variables; stable; time steps; tolerance", treatment = "T Theoretical or Mathematical", } @Article{Miklavcic:1989:AWN, author = "Milan Miklav{\v{c}}i{\v{c}}", title = "Approximations for weakly nonlinear evolution equations", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "471--484", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65J15 (65Mxx)", MRnumber = "90i:65114", MRreviewer = "I. P. Gavrilyuk", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0340K (Waves and wave propagation: general mathematical aspects); A0230 (Function theory, analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Michigan State Univ., East Lansing, MI, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation spaces; approximation theory; approximations; assumptions; convergence; convergence of numerical methods; degenerate; elliptic; finite element; hyperbolic equations; linear operator; minimal; nonlinear differential equations; operator; singular; spectral Galerkin; wave equations; weakly nonlinear evolution equations; weakly nonlinear wave equation", treatment = "T Theoretical or Mathematical", } @Article{Degond:1989:WPMa, author = "P. Degond and S. Mas-Gallic", title = "The Weighted Particle Method for Convection-Diffusion Equations. Part 1: The Case of an Isotropic Viscosity", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "485--507", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M99", MRnumber = "90g:65126", MRreviewer = "M. Z. Nashed", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4725Q (Convection and heat transfer); A0560 (Transport processes: theory); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Ecole Polytech., Palaiseau, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation; approximation theory; convection; convection-diffusion equations; differential equations; diffusion; diffusion operators; integral operators; integro-; integro-differential equations; isotropic diffusion operators; isotropic viscosity; weighted particle method", treatment = "T Theoretical or Mathematical", } @Article{Degond:1989:WPMb, author = "P. Degond and S. Mas-Gallic", title = "The Weighted Particle Method for Convection-Diffusion Equations. Part 2: The Anisotropic Case", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "509--525", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M99", MRnumber = "90g:65127", MRreviewer = "M. Z. Nashed", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A4725Q (Convection and heat transfer); A0560 (Transport processes: theory); C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations); C4110 (Error analysis in numerical methods)", corpsource = "Ecole Polytech., Palaiseau, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "accuracy; anisotropic diffusion operators; approximation theory; consistency; convection; convection-diffusion equations; cutoff functions; diffusion; error analysis; integro-differential equations; weighted particle method", treatment = "T Theoretical or Mathematical", } @Article{Szepessy:1989:CSC, author = "Anders Szepessy", title = "Convergence of a shock-capturing streamline diffusion finite element method for a scalar conservation law in two space dimensions", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "527--545", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M60", MRnumber = "90h:65156", MRreviewer = "B. M. Herbst", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "A0560 (Transport processes: theory); A0260 (Numerical approximation and analysis)", corpsource = "Dept. of Math., Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "conservation laws; convergence; convergence of numerical methods; diffusion; finite element analysis; linearized conservation law; measure-valued solutions; nonlinear hyperbolic conservation law; optimal error estimate; proof; result; shock waves; shock-capturing streamline diffusion finite element method; smooth exact solution; time-dependent scalar; two space dimensions; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Dutt:1989:SCS, author = "P. Dutt", title = "Stability and convergence of spectral methods for hyperbolic initial-boundary value problems", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "547--561", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65M70 (65M12)", MRnumber = "91c:65063", MRreviewer = "G. W. Hedstrom", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Indian Inst. of Technol., Kampur, India", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary conditions; boundary-value problems; convergence; convergence of numerical methods; differential equations; error estimates; hyperbolic initial-boundary; hyperbolic partial; initial value problems; partial differential equations; pseudospectral method; spectral methods; stability; value problems", treatment = "T Theoretical or Mathematical", } @Article{Luecke:1989:NAM, author = "Glenn R. Luecke", title = "Numerical approximation of minimum norm solutions of {$ K f = g $} for special $ {K} $", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "563--569", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (47A50 65J10)", MRnumber = "90e:65192", MRreviewer = "Charles W. Groetsch", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. fo Math., Iowa State Univ., Ames, IA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; continuous; first-kind integral equation; integral equations; linear; minimum norm solutions; numerical approximation", treatment = "T Theoretical or Mathematical", } @Article{Brunner:1989:CMN, author = "Hermann Brunner", title = "Collocation methods for nonlinear {Volterra} integro-differential equations with infinite delay", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "571--587", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R20 (45D05 92A15)", MRnumber = "90m:65227", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4180 (Integral equations); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Stat., Memorial Univ. of Newfoundland, St. John's Nfld., Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "(mathematics); delay; function; infinite; integro-differential equations; kernel; nonlinear Volterra integro-differential equations; population equation; Runge--Kutta methods; Runge--Kutta type methods; spline collocation; splines", treatment = "T Theoretical or Mathematical", } @Article{Ang:1989:CVR, author = "D. D. Ang and John Lund and Frank Stenger", title = "Complex variable and regularization methods of inversion of the {Laplace} transform", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "589--608", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65R10 (44A10)", MRnumber = "90e:65180", MRreviewer = "A. J. Rodrigues", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1130 (Integral transforms); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Ho Chi Minh City Univ., Viet Nam", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; bounds; complex variable methods; convolution integral; equations; error of approximation; Fourier transform; Fourier transforms; integral; integral equation; Laplace; Laplace transforms; problem; regularization methods; Sinc solution; Sinc-like rational approximation; transform", treatment = "T Theoretical or Mathematical", } @Article{Grossmann:1989:UEH, author = "Ch. Gro{\ss}mann and H.-G. Roos", title = "Uniform Enclosure of High Order for Boundary Value Problems by Monotone Discretization", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "609--617", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65L10", MRnumber = "90e:65113", MRreviewer = "Henning Esser", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4170 (Differential equations); C4130 (Interpolation and function approximation)", corpsource = "Tech. Univ. Dresden, East Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "boundary value problems; boundary-value problems; bounding lower; bounding upper solutions; discretization; high order; interpolation; monotone; operator; piecewise; shifting; solutions; two-sided inclusion; uniform enclosure", treatment = "T Theoretical or Mathematical", } @Article{Golub:1989:EEI, author = "Gene H. Golub and Mark D. Kent", title = "Estimates of Eigenvalues for Iterative Methods", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "619--626", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65F10 (65F15)", MRnumber = "90e:65043", MRreviewer = "Vasile I. Ionescu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4140 (Linear algebra); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Comp. Sci., Stanford Univ., CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximate solution; approximation theory; eigenvalues; eigenvalues and eigenfunctions; error; estimates; Gauss quadrature; integration; iterative methods; linear equations; linear systems; lower bounds; theory of moments; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Lyness:1989:SPR, author = "J. N. Lyness and I. H. Sloan", title = "Some properties of rank-$2$ lattice rules", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "627--637", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32", MRnumber = "90c:65040", MRreviewer = "Hans Strauss", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "Argonne Nat. Lab., IL, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "abscissas; hypercube; integration; one-dimensional projections; projections; quadrature rule; rank-2 lattice rules; subclass; tricycle form; two-dimensional", treatment = "T Theoretical or Mathematical", } @Article{Brezinski:1989:PEE, author = "Claude Brezinski", title = "Procedures for estimating the error in {Pad{\'e}} approximation", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "639--648", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D32 (41A21 65G05)", MRnumber = "90b:65034", MRreviewer = "Pierre Hillion", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4110 (Error analysis in numerical methods)", corpsource = "Univ. de Sci. and Tech. de Lille Flandres-Artois, Villeneuve D'Ascq, France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "approximation theory; error analysis; error estimates; Gaussian quadrature; Gaussian quadrature formulas; integration; Kronrod method; Kronrod procedure; methods; Pad{\'e} approximants; Pad{\'e} approximation", treatment = "T Theoretical or Mathematical", } @Article{Bailey:1989:NRR, author = "David H. Bailey and Helaman R. P. Ferguson", title = "Numerical results on relations between fundamental constants using a new algorithm", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "649--656", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y16 (68Q25)", MRnumber = "90e:11191", MRreviewer = "Brigitte Vall{\'e}e", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "NASA Ames Res. Center, Moffett Field, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic polynomials; algorithm; bounds; fundamental constants; integer relation; mathematical constants; multiprecision arithmetic; number theory; numbers; numerical; real; relation-finding algorithm; relations; vector", treatment = "T Theoretical or Mathematical", } @Article{Troesch:1989:VSC, author = "B. A. Troesch", title = "The validity of {Shapiro}'s cyclic inequality", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "657--664", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "26D15", MRnumber = "90f:26025", MRreviewer = "J. C. Lagarias", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C1180 (Optimisation techniques)", corpsource = "Dept. of Math., Univ. of Southern California, Los Angeles, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "cyclic inequality; cyclic sum; denominators; minimisation; nonnegative; number theory; numerators; positive; Shapiro; vectors", treatment = "T Theoretical or Mathematical", } @Article{Massias:1989:EBM, author = "Jean-Pierre Massias and Jean-Louis Nicolas and Guy Robin", title = "Effective bounds for the maximal order of an element in the symmetric group", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "665--678", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11N45 (11Y70 20B05 20D60)", MRnumber = "90e:11139", MRreviewer = "A. Perelli", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1110 (Algebra)", corpsource = "Dept. of Math., Limoges Univ., France", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Chebyshev function; effective bounds; group theory; highly composite numbers; maximal order; Ramanujan; Rosser; Schoenfeld; superior; symmetric group", treatment = "T Theoretical or Mathematical", } @Article{Buchmann:1989:CCN, author = "Johannes Buchmann and H. C. Williams", title = "On the computation of the class number of an algebraic number field", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "679--688", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R29 (11Y40)", MRnumber = "90a:11128", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Math. Inst., Dusseldorf Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic number field; algorithm; analytic class number formula; complexity; computational complexity; Dedekind zeta function; estimate; generalized Riemann hypothesis; number theory; residue", treatment = "T Theoretical or Mathematical", } @Article{Gaal:1989:CAP, author = "I. Ga{\'a}l and N. Schulte", title = "Computing All Power Integral Bases of Cubic Fields", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "689--696", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11R16 (11D25 11Y40)", MRnumber = "90b:11108", MRreviewer = "B. M. M. de Weger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Kossuth Lajos Univ., Debrecen, Hungary", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "all power integral bases; Baker; cubic algebraic number; Davenport; fields; index form equations; number theory; reduction procedure", treatment = "T Theoretical or Mathematical", } @Article{Kaltofen:1989:CGC, author = "Erich Kaltofen and Heinrich Rolletschek", title = "Computing Greatest Common Divisors and Factorizations in Quadratic Number Fields", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "697--720", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y40 (11R11 11R27 11Y16)", MRnumber = "90a:11154", MRreviewer = "Ken Yamamura", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comp. Sci., Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "algebraic integer; class number; computational complexity; Euclidean algorithms; factorizations; fields; GCD; greatest common divisors; nondecreasing; norms; number theory; polynomial time; prime factorization; primes; quadratic number; rational; reduction; remainder sequences; squarefree integer; theorem; Thue", treatment = "T Theoretical or Mathematical", } @Article{Kim:1989:PRP, author = "Su Hee Kim and Carl Pomerance", title = "The probability that a random probable prime is composite", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "721--741", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A51)", MRnumber = "90e:11190", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics); C1140Z (Other and miscellaneous)", corpsource = "Dept. of Comp. Sci., Univ. of Southern Univ., Columbia, SC, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "composite number; Erd{\H{o}}s; explicit inequalities; number theory; probability; random odd number; random probable prime", treatment = "T Theoretical or Mathematical", } @Article{Tanner:1989:NBF, author = "Jonathan W. Tanner and Samuel S. {Wagstaff, Jr.}", title = "New bound for the first case of {Fermat}'s last theorem", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "743--750", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11D41 (11Y50)", MRnumber = "90h:11028", MRreviewer = "Takeo Miyoshi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Pensylvania Univ., Philadelphia, PA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "bound; exponent; exponents; Fermat last; first case; generalized Wiefrich criterion; Gunderson function; number theory; prime; prime bases; theorem", treatment = "T Theoretical or Mathematical", } @Article{Loh:1989:LCN, author = "G{\"u}nter L{\"o}h", title = "Long Chains of Nearly Doubled Primes", journal = j-MATH-COMPUT, volume = "53", number = "188", pages = "751--759", month = oct, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A41 (11Y11)", MRnumber = "90e:11015", MRreviewer = "Kevin S. McCurley", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Hamburg Univ., West Germany", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "chains; counts; frequencies; nearly doubled primes; number theory; ordered set; prime k-tuples conjecture; prime numbers; search; search problems; set theory", treatment = "T Theoretical or Mathematical", } @Article{Morain:1990:CLD, author = "Fran{\c{c}}ois Morain", title = "Corrigenda: {``On the $ \operatorname {lcm} $ of the differences of eight primes'' [Math. Comput. {\bf 52} (1989), no. 185, 225--229]}", journal = j-MATH-COMPUT, volume = "54", number = "190", pages = "911--911", month = apr, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A41 (11A07 11Y05)", MRnumber = "92a:11011b", bibdate = "Sat Oct 24 17:17:40 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", note = "See \cite{Morain:1989:DEP}.", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Shiu:2019:CCS, author = "Peter Shiu", title = "Corrigendum to {``Counting sums of two squares: the Meissel--Lehmer method''}", journal = j-MATH-COMPUT, volume = "88", number = "320", pages = "2935--2938", month = oct, year = "2019", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Jul 14 06:45:45 MDT 2020", bibsource = "http://www.ams.org/mcom/2019-88-320; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib", URL = "https://www.ams.org/AMSMathViewer; https://www.ams.org/journals/mcom/2019-88-320/S0025-5718-2019-03477-4; https://www.ams.org/journals/mcom/2019-88-320/S0025-5718-2019-03477-4/S0025-5718-2019-03477-4.pdf; https://www.ams.org/mathscinet/search/authors.html?mrauthid=160965", acknowledgement = ack-nhfb, ajournal = "Math. Comput.", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } %%% ==================================================================== %%% Proceedings and other cross-referenced entries must come last: @Book{AMS:1984:CIM, author = "{AMS}", title = "Cumulative Index to Mathematics of Computation, Volumes 24--43, 1970--1984", publisher = pub-AMS, address = pub-AMS:adr, pages = "vii + 503", month = oct, year = "1984", CODEN = "MCMPAF", ISBN = "0-8218-0093-0", ISBN-13 = "978-0-8218-0093-5", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "00A20", MRnumber = "88m:00020", bibdate = "Thu Apr 30 08:23:03 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", series = j-MATH-COMPUT, acknowledgement = ack-nhfb, } @Proceedings{Gautschi:1994:MCH, editor = "Walter Gautschi", booktitle = "{Mathematics of computation, 1943--1993: a half-century of computational mathematics: Mathematics of Computation 50th Anniversary Symposium, August 9--13, 1993, Vancouver, British Columbia}", title = "{Mathematics of computation, 1943--1993: a half-century of computational mathematics: Mathematics of Computation 50th Anniversary Symposium, August 9--13, 1993, Vancouver, British Columbia}", volume = "48", publisher = pub-AMS, address = pub-AMS:adr, pages = "xix + 643", year = "1994", ISBN = "0-8218-0291-7, 0-8218-0353-0 (pt. 1), 0-8218-0354-9 (pt. 2)", ISBN-13 = "978-0-8218-0291-5, 978-0-8218-0353-0 (pt. 1), 978-0-8218-0354-7 (pt. 2)", ISSN = "0160-7634", LCCN = "QA1 .A56 v.48 1994; QA297.M385 1993", MRclass = "00B25 (11-06 65-06)", MRnumber = "95j:00014", bibdate = "Mon Oct 24 11:37:20 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib; https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib; https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib; https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; 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/mathcomp1940.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib", note = "See also SIAM Review, September 1995, {\bf 37}(3), p. 483.", series = "Proceedings of Symposia in Applied Mathematics", acknowledgement = ack-nhfb, author-dates = "Frank William John Olver (15 December 1924--23 April 2013)", tableofcontents = "Preface / xi \\ Mathematics of Computation: A brief history / Eugene Isaacson / xvii \\ \\ Part I. Symposium on Numerical Analysis \\ \\ Invited Papers \\ \\ On the development of multigrid methods and their analysis / James H. Bramble / 5 \\ An introduction to inverse problems / Margaret Cheney / 21 \\ Algorithms for unconstrained optimization: A review of recent developments / Donald Goldfarb / 33 \\ A survey of componentwise perturbation theory in numerical linear algebra / Nicholas J. Higham / 49 \\ Numerical evaluation of special functions / D. W. Lozier and F. W. J. Olver / 79 \\ A survey of numerical cubature over triangles / J. N. Lyness and Ronald Cools / 127 \\ New trends in the use and analysis of integral equations / J. C. Nedelec / 151 \\ Applications of multivariate splines / Larry L. Schumaker / 177 \\ Initial value problems for ordinary differential equations: Development of ideas, techniques, and implementation / Hans J. Stetter / 205 \\ Multiresolution methods for partial differential equations / Roger Temam / 225 \\ \\ Contributed Papers \\ \\ A comparison of techniques for solving ill-conditioned problems arising from the immersed boundary method / Loyce Adams and Zhiyun Yang / 243 \\ A mixed spectral-collocation and operator splitting method for the Wigner-Poisson equation / Anton Arnold / 249 \\ Finite volume methods for irregular one-dimensional grids / M. J. Berger, R. J. Leveque, and L. G. Stern / 255 \\ Linear rational interpolation of continuous functions over an interval / Jean-Paul Berrut / 261 \\ A von Neumann reflection for the 2-D Burgers equation / M. Brio and J. K. Hunter / 265 \\ Slow evolution from the boundary: A new stabilizing constraint in ill-posed continuation problems / Alfred S. Carasso / 269 \\ A finite element method for the 2D drift-diffusion semiconductor model / Zhangxin Chen / 275 \\ Splitting functions and numerical analysis of WR-type methods for evolutionary and stationary problems / S. De Marchi, M. Vianello, and R. Zanovello / 281 \\ Error estimates for a quadrature rule for Cauchy principal value integrals / Kai Diethelm / 287 \\ A numerical radius approach to stable difference schemes for parabolic systems / Moshe Goldberg / 293 \\ An extension of the Olver-Sookne method for the solution of second-order linear difference equations / Takemitsu Hasegawa and Tatsuo Torii / 297 \\ The Faber polynomials for circular arcs / Matthew He / 301 \\ Finite element approximation for optimal control of electrically conducting fluid flows / L. S. Hou and S. S. Ravindran / 305 \\ ADI methods for heat equations with discontinuities along an arbitrary interface / Zhilin Li and Anita Mayo / 311 \\ Eigenvalue approximation of Fredholm integral operators / E. B. Lin / 317 \\ Spectral methods for singular perturbation problems / Wenbin Liu and Tao Tang / 323 \\ A quaternion-Jacobi method for symmetric matrices / Niloufer Mackey / 327 \\ On constructing Chebyshev series solutions of differential equations / Allan J. MacLeod / 333 \\ Multiquadric collocation methods in the numerical solution of Volterra integral and integro-differential equations / Athena Makroglou / 337 \\ Methods for solving large eigenvalue problems associated with configuration interaction electronic structure calculations / Kristyn J. Maschhoff / 343 \\ Computing limiting normals to real surfaces / Donal O'Shea and Les Wilson / 349 \\ Orthogonal spline collocation solution of nonlinear Schr{\"o}dinger equations / Mark P. Robinson / 355 \\ Who invented the computer? The debate from the viewpoint of computer architecture / Ra{\'u}l Rojas / 361 \\ Locking and boundary layer effects in the finite element approximation of the Reissner--Mindlin plate model / Christoph Schwab and Manil Suri / 367 \\ Efficient spectral Galerkin methods for some elliptic problems / Jie Shen / 373 \\ Periodic solutions of higher-order difference equations in two independent variables / Qin Sheng and Ravi P. Agarwal / 377 \\ Front tracking based on high-resolution wave propagation methods / Keh-Ming Shyue / 383 \\ Time-splitting methods for nonhomogeneous conservation laws / Tao Tang and Zhen-Huan Teng / 389 \\ Numerical aspects of uniform Airy-type asymptotic expansions / N. M. Temme / 395 \\ Local dynamics and bifurcation consistencies of continuous-time dynamical systems and their numerical discretizations / Xin Wang, Edward K. Blum, and Qingnan Li / 399 \\ Computing integrals of the complex error function / J. A. C. Weideman / 403 \\ Quadratures for improper integrals and their applications in integral equations / Yuesheng Xu and Yunhe Zhao / 409 \\ Spline harmonic analysis and wavelet bases / Valery A. Zheludev / 415 \\ \\ Part II. Minisymposium on Computational Number Theory Dedicated to the memory of Derrick Henry Lehmer \\ \\ Invited Papers \\ \\ Algorithms for quadratic orders / Ingrid Biehl and Johannes Buchmann / 425 \\ Analytic computations in number theory / Andrew M. Odlyzko / 451 \\ The number field sieve / Carl Pomerance / 465 \\ Factoring integers before computers / H. C. Williams and J. O. Shallit / 481 \\ \\ Contributed Papers \\ \\ Explicit bounds for primes in residue classes / Eric Bach and Jonathan Sorenson / 535 \\ Ramanujan and Euler's constant / Richard P. Brent / 541 \\ Congruential sieves on FPGA computers / Nathan D. Bronson and Duncan A. Buell / 547 \\ Lehmer pairs of zeros and the Riemann $\xi$-function / George Csordas, Wayne Smith, and Richard S. Varga / 553 \\ A record Aliquot sequence / Andrew W. P. Guy and Richard K. Guy / 557 \\ Implications of computational mathematics for the philosophy of mathematics / Andrew J. Lazarus / 561 \\ Square roots of products of algebraic numbers / Peter L. Montgomery / 567 \\ A locally parameterized version of Lehmer's problem / Gary A. Ray / 573 \\ A new method for finding amicable pairs / H. J. J. te Riele / 577 \\ Generalized Fermat numbers / Hans Riesel and Anders Bj{\"o}rn / 583 \\ Evaluation of $\zeta_K(2)$ for some totally real algebraic number fields K of degree 9 / Kisao Takeuchi / 589 \\ The period of the Bell exponential integers modulo a prime / Samuel S. Wagstaff, Jr. / 595 \\ Computing invariant polynomials of $p$-adic reflection groups / Changsheng Xu / 599 \\ Author Index / 603 \\ Subject Index / 619", }