%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.41", %%% date = "06 November 2025", %%% time = "06:42:11 MDT", %%% filename = "numana1990.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "54945 20252 86621 862354", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography, BibTeX, numerical analysis", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This bibliography collects publications %%% in the large field of numerical analysis %%% from books and conference proceedings, but %%% excluding journal articles, which are covered %%% in separate bibliographies in the TeX User %%% Group archive. %%% %%% This file includes publications for the %%% decade 1990--1999, and a few selected books %%% from before 1990. %%% %%% At version 1.41, the year coverage looked %%% like this: %%% %%% 1946 ( 1) 1969 ( 0) 1992 ( 72) %%% 1947 ( 0) 1970 ( 0) 1993 ( 68) %%% 1948 ( 0) 1971 ( 1) 1994 ( 74) %%% 1949 ( 0) 1972 ( 0) 1995 ( 50) %%% 1950 ( 0) 1973 ( 0) 1996 ( 153) %%% 1951 ( 0) 1974 ( 0) 1997 ( 112) %%% 1952 ( 0) 1975 ( 0) 1998 ( 51) %%% 1953 ( 1) 1976 ( 0) 1999 ( 37) %%% 1954 ( 0) 1977 ( 2) 2000 ( 0) %%% 1955 ( 0) 1978 ( 1) 2001 ( 0) %%% 1956 ( 1) 1979 ( 0) 2002 ( 0) %%% 1957 ( 0) 1980 ( 2) 2003 ( 0) %%% 1958 ( 1) 1981 ( 0) 2004 ( 0) %%% 1960 ( 1) 1983 ( 1) 2006 ( 0) %%% 1962 ( 2) 1985 ( 0) 2008 ( 0) %%% 1963 ( 0) 1986 ( 2) 2009 ( 0) %%% 1967 ( 1) 1990 ( 145) 2013 ( 0) %%% 1968 ( 0) 1991 ( 54) 2014 ( 1) %%% %%% Book: 454 %%% InCollection: 25 %%% InProceedings: 190 %%% Manual: 56 %%% MastersThesis: 9 %%% PhdThesis: 27 %%% Proceedings: 66 %%% TechReport: 7 %%% %%% Total entries: 834 %%% %%% The initial draft of entries for 1990--1999 %%% was derived from the OCLC Proceedings %%% database, from the MathSciNet database, from %%% the University of California Melvyl catalog, %%% and from the U.S. Library of Congress %%% catalog. %%% %%% In this bibliography, entries are sorted %%% first by ascending year, and within each %%% year, alphabetically by author or editor, %%% and then, if necessary, by the 3-letter %%% abbreviation at the end of the BibTeX %%% citation tag, using the bibsort -byyear %%% utility. Year order has been chosen to %%% make it easier to identify the most recent %%% work. %%% %%% 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.", %%% } %%% ==================================================================== @Preamble{ "\ifx \undefined \cprime \def \cprime {$\mathsurround=0pt '$}\fi" # "\ifx \undefined \k \let \k = \c \fi" } %%%===================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|https://www.math.utah.edu/~beebe/|"} @String{ack-njh = "Nick Higham, e-mail: \path|higham@vtx.ma.man.ac.uk|"} %%% ==================================================================== %%% Miscellaneous abbreviations: @String{prep-latex = "Prepared with {\LaTeX}."} %%%===================================================================== %%% Publishers and their addresses: @String{pub-A-K-PETERS = "A. K. Peters, Ltd."} @String{pub-A-K-PETERS:adr = "Wellesley, MA, USA"} @String{pub-ACADEMIC = "Academic Press"} @String{pub-ACADEMIC:adr = "New York, NY, USA"} @String{pub-ACM = "ACM Press"} @String{pub-ACM:adr = "New York, NY 10036, USA"} @String{pub-AIP = "American Institute of Physics"} @String{pub-AIP:adr = "Woodbury, NY, USA"} @String{pub-AKADEMIE-VERLAG = "Akademie-Verlag"} @String{pub-AKADEMIE-VERLAG:adr = "Berlin, Germany"} @String{pub-AMS = "American Mathematical Society"} @String{pub-AMS:adr = "Providence, RI, USA"} @String{pub-ASCE = "American Society of Civil Engineers"} @String{pub-ASCE:adr = "Dallas, Texas"} @String{pub-ASME = "American Society of Mechanical Engineers"} @String{pub-ASME:adr = "United Engineering Center, 345 E. 47th St., New York, NY 10017, USA"} @String{pub-AW = "Ad{\-d}i{\-s}on-Wes{\-l}ey"} @String{pub-AW:adr = "Reading, MA, USA"} @String{pub-BALTZER = "J. C. Baltzer AG, Scientific Publishing Company"} @String{pub-BALTZER:adr = "Basel, Switzerland"} @String{pub-BENCUM = "Benjamin\slash Cummings Pub. Co."} @String{pub-BENCUM:adr = "Menlo Park, CA, USA"} @String{pub-BIRKHAUSER = "Birkh{\"a}user Verlag"} @String{pub-BIRKHAUSER:adr = "Basel, Switzerland"} @String{pub-BIRKHAUSER-BOSTON = "Birkh{\"a}user Boston Inc."} @String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"} @String{pub-BLACKWELL-SCI = "Blackwell Scientific Publications"} @String{pub-BLACKWELL-SCI:adr = "Oxford, UK"} @String{pub-BROOKS-COLE = "Brooks\slash Cole Publishing Co."} @String{pub-BROOKS-COLE:adr = "Pacific Grove, CA, USA"} @String{pub-CAMBRIDGE = "Cambridge University Press"} @String{pub-CAMBRIDGE:adr = "Cambridge, UK"} @String{pub-CHAPMAN-HALL = "Chapman and Hall, Ltd."} @String{pub-CHAPMAN-HALL:adr = "London, UK"} @String{pub-CHARTWELL-BRATT = "Chartwell-Bratt"} @String{pub-CHARTWELL-BRATT:adr = "Bromley, Kent, UK"} @String{pub-CLARENDON = "Clarendon Press"} @String{pub-CLARENDON:adr = "New York, NY, USA"} @String{pub-CRC = "CRC Press"} @String{pub-CRC:adr = "2000 N.W. Corporate Blvd., Boca Raton, FL 33431-9868, USA"} @String{pub-CAMBRIDGE = "Cambridge University Press"} @String{pub-CAMBRIDGE:adr = "Cambridge, UK"} @String{pub-CWI = "CWI"} @String{pub-CWI:adr = "Amsterdam, The Netherlands"} @String{pub-DEKKER = "Marcel Dekker, Inc."} @String{pub-DEKKER:adr = "New York, NY, USA"} @String{pub-DOVER = "Dover"} @String{pub-DOVER:adr = "New York, NY, USA"} @String{pub-ELLIS-HORWOOD = "Ellis Horwood"} @String{pub-ELLIS-HORWOOD:adr = "New York, NY, USA"} @String{pub-ELSEVIER = "Elsevier"} @String{pub-ELSEVIER:adr = "Amsterdam, The Netherlands"} @String{pub-GRUYTER = "Walter de Gruyter"} @String{pub-GRUYTER:adr = "New York"} @String{pub-HALSTED = "Halsted Press"} @String{pub-HALSTED:adr = "New York, USA"} @String{pub-HARPERCOLLINS = "HarperCollins College Publishers"} @String{pub-HARPERCOLLINS:adr = "New York, NY, USA"} @String{pub-HEMISPHERE = "Hemisphere Publishing Corp."} @String{pub-HEMISPHERE:adr = "Washington, DC, USA"} @String{pub-HERMES = "Herm{\`e}s"} @String{pub-HERMES:adr = "Paris, France"} @String{pub-HILGER = "Adam Hilger Ltd."} @String{pub-HILGER:adr = "Bristol, UK"} @String{pub-IE = "InterEditions"} @String{pub-IE:adr = "Paris, France"} @String{pub-INTERSCIENCE = "Interscience Publishers"} @String{pub-INTERSCIENCE:adr = "New York, NY, USA"} @String{pub-JOHNS-HOPKINS = "The Johns Hopkins University Press"} @String{pub-JOHNS-HOPKINS:adr = "Baltimore, MD, USA"} @String{pub-KLUWER = "Kluwer Academic Publishers"} @String{pub-KLUWER:adr = "Dordrecht, The Netherlands"} @String{pub-LONGMAN = "Longman Scientific and Technical"} @String{pub-LONGMAN:adr = "Harlow, Essex, UK"} @String{pub-MASSON = "Masson Editeur"} @String{pub-MASSON:adr = "Masson, France"} @String{pub-MATH-ASSOC-AMER = "Mathematical Association of America"} @String{pub-MATH-ASSOC-AMER:adr = "Washington, DC, USA"} @String{pub-MCGRAW-HILL = "Mc{\-}Graw-Hill"} @String{pub-MCGRAW-HILL:adr = "New York, NY, USA"} @String{pub-MIT = "MIT Press"} @String{pub-MIT:adr = "Cambridge, MA, USA"} @String{pub-MT = "M\&T Books"} @String{pub-MT:adr = "M\&T Publishing, Inc., 501 Galveston Drive, Redwood City, CA 94063, USA"} @String{pub-NASA = "NASA"} @String{pub-NASA:adr = "Washington, DC, USA"} @String{pub-NAUKA = "Nauka"} @String{pub-NAUKA:adr = "Moscow, Russia"} @String{pub-NETWORK-THEORY = "Network Theory Ltd."} @String{pub-NETWORK-THEORY:adr = "Bristol, UK"} @String{pub-NORTH-HOLLAND = "North-Hol{\-}land"} @String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"} @String{pub-NTIS = "National Technical Information Service"} @String{pub-NTIS:adr = "Washington, DC, USA"} @String{pub-OLDENBOURG = "R. Oldenbourg"} @String{pub-OLDENBOURG:adr = "M{\"u}nchen, Germany"} @String{pub-OXFORD = "Oxford University Press"} @String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"} @String{pub-NORTH-HOLLAND = "North-Holland Publishing Co."} @String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"} @String{pub-PH = "Pren{\-}tice-Hall"} @String{pub-PH:adr = "Upper Saddle River, NJ 07458, USA"} @String{pub-PHI = "Pren{\-}tice-Hall International"} @String{pub-PHI:adr = "Upper Saddle River, NJ 07458, USA"} @String{pub-PHPTR = "Pren{\-}tice-Hall PTR"} @String{pub-PHPTR:adr = "Upper Saddle River, NJ 07458, USA"} @String{pub-PHYSICA-VERLAG = "Physica-Verlag"} @String{pub-PHYSICA-VERLAG:adr = "Vienna, Austria"} @String{pub-PRINCETON = "Princeton University Press"} @String{pub-PRINCETON:adr = "Princeton, NJ, USA"} @String{pub-PWS = "PWS-Kent Publishing Company, Division of Wadsworth, Inc."} @String{pub-PWS:adr = "20 Park Plaza, Boston, MA 02116, USA"} @String{pub-PWS-KENT = "PWS-Kent Pub. Co."} @String{pub-PWS-KENT:adr = "Boston, MA, USA"} @String{pub-SAUNDERS = "Saunders College Pub."} @String{pub-SAUNDERS:adr = "Fort Worth, TX, USA"} @String{pub-SIAM = "Society for Industrial and Applied Mathematics"} @String{pub-SIAM:adr = "Philadelphia, PA, USA"} @String{pub-SPIE = "SPIE Optical Engineering Press"} @String{pub-SPIE:adr = "Bellingham, WA, USA"} @String{pub-STUDENTLITTERATUR = "Studentlitteratur"} @String{pub-STUDENTLITTERATUR:adr = "Lund, Sweden"} @String{pub-SV = "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-TELOS = "TELOS division of Springer-Verlag"} @String{pub-TELOS:adr = "Santa Clara, CA, USA and New York, NY, USA"} @String{pub-TEUBNER = "B. G. Teubner"} @String{pub-TEUBNER:adr = "Stuttgart, Germany; Leipzig, Germany"} @String{pub-VCH = "VCH"} @String{pub-VCH:adr = "New York, NY, USA"} @String{pub-VIEWEG = "Friedrich Vieweg und Sohn"} @String{pub-VIEWEG:adr = "Braunschweig, Germany"} @String{pub-VSP = "VSP, International Science Publishers"} @String{pub-VSP:adr = "Utrecht, The Netherlands"} @String{pub-WADSWORTH = "Wadsworth Publishing Company"} @String{pub-WADSWORTH:adr = "Pacific Grove, CA, USA"} @String{pub-WILEY = "John Wiley and Sons, Inc."} @String{pub-WILEY:adr = "New York, NY, USA; London, UK; Sydney, Australia"} @String{pub-Wiley:adr-C = "Chichester, UK"} @String{pub-WORLD-SCI = "World Scientific Publishing Co."} @String{pub-WORLD-SCI:adr = "Singapore; Philadelphia, PA, USA; River Edge, NJ, USA"} %%% ==================================================================== %%% Series abbreviations: @String{ser-LECT-NOTES-MATH = "Lecture Notes in Mathematics"} @String{ser-LNCS = "Lecture Notes in Computer Science"} @String{ser-LNCSE = "Lecture Notes in Computational Science and Engineering"} %%%===================================================================== %%% Bibliography entries, sorted by year, and then by citation label, %%% with `bibsort -byyear': @Book{Jeffreys:1946:MMP, author = "Sir Harold Jeffreys and Bertha Swirles Jeffreys", title = "Methods of mathematical physics", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "vii + 1 + 679", year = "1946", LCCN = "QA401 .J4 1946", bibdate = "Wed May 11 13:57:59 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, remark = "Includes most of Harold Jeffreys' ``Operational Methods in Mathematical Physics'' and ``Cartesian Tensors''.", subject = "Mathematics; Mathematical physics", } @Book{Courant:1953:MMP, author = "Richard Courant and David Hilbert", title = "Methods of mathematical physics", volume = "1", publisher = pub-INTERSCIENCE, address = pub-INTERSCIENCE:adr, pages = "xv + 560", year = "1953", ISBN = "0-471-50447-5, 0-585-29428-3 (e-book)", ISBN-13 = "978-0-471-50447-4, 978-0-585-29428-5 (e-book)", LCCN = "QA401 .C72413 1989", bibdate = "Tue May 27 10:09:34 MDT 2014", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Wiley classics library", acknowledgement = ack-nhfb, author-dates = "(1888--1972)", remark = "2, Partial differential equations.", subject = "Physique math{\'e}matique.; Mathematical physics.; Physique math{\'e}matique", } @Book{Jeffreys:1956:MMP, author = "Sir Harold Jeffreys and Bertha Swirles Jeffreys", title = "Methods of mathematical physics", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, edition = "Third", pages = "714", year = "1956", LCCN = "QA401 .J4 1956", bibdate = "Wed May 11 13:57:59 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, remark = "Includes most of Harold Jeffreys' ``Operational Methods in Mathematical Physics'' and ``Cartesian Tensors''.", subject = "Mathematics; Mathematical physics", } @Book{Forsythe:1958:NAP, author = "George E. Forsythe and Paul C. Rosenbloom", title = "Numerical Analysis and Partial Differential Equations", volume = "5", publisher = pub-WILEY # " and " # pub-CHAPMAN-HALL, address = pub-WILEY:adr # " and " # pub-CHAPMAN-HALL:adr, pages = "x + 204", year = "1958", bibdate = "Tue Nov 22 09:08:17 MST 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Surveys in Applied Mathematics", ZMnumber = "0084.34501", abstract = "These are survey articles which attempt in a broad manner to discuss the present state of knowledge (1958) in the two fields of the title. Each survey has an excellent bibliography attached. Since Rosenbloom's article on \booktitle{Linear Parttal Differential Equations} deals with theoretical aspects of the problems (no numerical methods are discussed), only Forsythe's article will be indexed here. Forsythe's article, entitled \booktitle{Contemporary State of Numerical Analysis}, is written for non specialists, and in a reasonably elementary manner. It tells about what is being done and it gives references, but it does not go into many details.", acknowledgement = ack-nhfb, author-dates = "George Elmer Forsythe (8 January 1917--9 April 1972)", keywords = "numerical analysis", remark = "George E. Forsythe: Contemporary state of numerical analysis. Paul C. Rosenbloom: Linear partial differential equations", tableofcontents = "1. What is numerical analysis? (4 pp). 2. Areas of numerical analysis / 1 p. \\ 3. An older Soviet view of numerical analysis / 2 pp. \\ 4. A more recent Soviet view of numerical analysis / 1 p. \\ 5. Automatic digital computers / 3 pp. \\ 6. Two Soviet computers / 1 p. \\ 7. Literature on numerical analysis / 1 p. \\ 8. Numerical integration and interpolation / 2 p. \\ 9. Approximations of functions / 3 pp. \\ 10. Solving linear algebraic equations / 6 pp. \\ 11. Solving matrix eigenvalue problems / 4 pp. \\ 12. Difference methods for Laplace's equation / 7 pp. \\ Bibliography / 5 pp.", } @Book{Forsythe:1960:FDM, author = "George E. Forsythe and Wolfgang R. Wasow", title = "Finite-Difference Methods for Partial Differential Equations", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "x + 444", year = "1960", MRclass = "65.65 (65.66)", MRnumber = "MR0130124 (23 \#B3156)", MRreviewer = "D. M. Young, Jr.", bibdate = "Tue Nov 22 09:08:17 MST 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Applied Mathematics Series", ZMnumber = "0099.11103", acknowledgement = ack-nhfb, author-dates = "George Elmer Forsythe (8 January 1917--9 April 1972)", keywords = "numerical analysis", mynote = "Quite a lot on rounding errors, though rel. uninteresting.", remark = "Translated to Russian in 1963, and to Japanese in 1968. From Price's bibliography: ``This book is generally quite advanced, although introductions to various of the topics are given in quite elementary language. The subject is developed from the point of view of the analyst who wishes to `solve' partial differential equations on digital computers. At the end is an excellent bibliography with references up to 1959.''", tableofcontents = "Introduction to partial differential equations and computers \\ 1. Hyperbolic equations in two independent variables (finite difference methods for (a) wave equation, (b) systems of equations, (c) quasilinear equations; integration along characteristics; integration by Adams' method; shock waves) \\ 2. Parabolic equations (simplest heat flow problems; linear problems in one and in two variables; convergence and stability; nonlinear problems) \\ 3. Elliptic equations (problems from physics and engineering; variational formulations; interface conditions; maximum principle; formulating elliptic difference equation problems; classical theory of solving elliptic difference equations; explicit and implicit overrelaxation methods; discretization and round-off errors; membrane eigenvalue problem; solving elliptic equations on an automatic digital computer) \\ 4. Initial-value problems in more than two independent variables (the equation of wave propagation; characteristics in several dimensions; a meteorological forecast problem; Fourier method for difference and differential equations; : method of Peaceman and Rachford)", } @Book{Courant:1962:MMP, author = "Richard Courant and David Hilbert", title = "Methods of mathematical physics", volume = "2", publisher = pub-INTERSCIENCE, address = pub-INTERSCIENCE:adr, pages = "ix + 830", year = "1962", ISBN = "0-471-50439-4, 0-585-32148-5 (e-book)", ISBN-13 = "978-0-471-50439-9, 978-0-585-32148-6 (e-book)", LCCN = "QA401 .C72413 1989", bibdate = "Wed May 11 13:57:59 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Wiley classics library", URL = "http://www.loc.gov/catdir/enhancements/fy0607/89112829-b.html; http://www.loc.gov/catdir/enhancements/fy0607/89112829-d.html; http://www.loc.gov/catdir/toc/onix05/89112829.html", acknowledgement = ack-nhfb, author-dates = "Richard Courant (1888--1972) and David Hilbert (1862--1943)", remark = "English translation of German original, Methoden der mathematischen Physik. Vol. 2. Partial differential equations / by R. Courant.", subject = "Mathematical physics", } @Book{Todd:1962:SNA, editor = "John Todd", booktitle = "Survey of Numerical Analysis", title = "Survey of Numerical Analysis", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xvi + 589", year = "1962", LCCN = "QA297 .T63", MRclass = "65.00", MRnumber = "0135221 (24 \#B1271)", bibdate = "Tue Mar 27 17:58:56 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", URL = "https://babel.hathitrust.org/cgi/pt?id=mdp.39015000983901", acknowledgement = ack-nhfb, author-dates = "Philip J. Davis (2 January 1923--13 March 2018); John Todd (16 May 1911--21 June 2007)", tableofcontents = "1: Motivation for working in numerical analysis / John Todd / 1--26 \\ 2: Classical numerical analysis / John Todd / 27--118 \\ 3: The constructive theory of functions / 119--159 / \\ 4: Automatic computers / Morris Newman and John Todd / 160--207 \\ 5: Use and limitation of computers / Harvey Cohn / 208--221 \\ 6: Matrix computations / Morris Newman / 222--254 \\ 7: Numerical methods for finding solutions of nonlinear equations / Urs Hochstrasser / 255-- 78 \\ 8a: Eigenvalues of finite matrices: Some topics concerning bounds for eigenvalues of finite matrices / Olga Taussky / 279--297 \\ 8b: Eigenvalues of finite matrices: Hermitian Forms and Eigenvalues / Marvin Marcus / 298---313 \\ 9: Numerical methods in ordinary differential equations / Henry A. Antosiewicz and Walter Gautschi / 314--346 \\ 10: Orthonormalizing codes in numerical analysis / Philip J. Davis / 347--379 \\ 11: The numerical solution of elliptic and parabolic partial differential equations / David M. Young, Jr. / 380--438 \\ 12: Numerical methods for integral equations / H. B{\"u}cker / 439--467 \\ 13: Errors of numerical approximation for analytic functions / Philip J. Davis / 468--484 \\ 14: Numerical analysis and functional analysis / Henry A. Antosiewicz and Werner C. Rheinboldt / 485--517 / \\ 15: Discrete problems / Marshall Hall, Jr. / 518--542 \\ 16a: Number Theory: Some Illustrative Computations in Algebraic Number Theory / Harvey Cohn / 543--548 \\ 16b: Number Theory: Some Computational Problems in Algebraic Number Theory / Olga Taussky / 549--557 \\ 17: Linear estimation and related topics / Marvin Zelen / 558--584 \\ Index / 585--589", } @Book{Forsythe:1967:CSL, author = "George E. Forsythe and Cleve B. Moler", title = "Computer Solution of Linear Algebraic Systems", publisher = pub-PH, address = pub-PH:adr, pages = "xi + 148", year = "1967", LCCN = "QA297 .F57 1967", MRclass = "65.35", MRnumber = "MR0219223 (36 \#2306)", MRreviewer = "N. Gastinel", bibdate = "Tue May 25 08:52:32 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/gvl.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", ZMnumber = "0154.40401", acknowledgement = ack-nhfb, author-dates = "George Elmer Forsythe (8 January 1917--9 April 1972)", keywords = "numerical analysis; software", remark = "Translated to Russian (1969), Japanese (1969), and German (1971).", subject = "numerical analysis; data processing; matrices", tableofcontents = "Reader's background and purpose of book \\ Vector and matrix norms \\ Diagonal form of a matrix under orthogonal equivalence \\ Proof of diagonal-form theorem \\ Types of computational problems in linear algebra \\ Types of matrices encountered impractical problems \\ Sources of computational problems of linear algebra \\ Condition of a linear system \\ Gaussian elimination and LU decomposition \\ Need for interchanging rows \\ Scaling equations and unknowns \\ The Crout and Doolittle variants \\ Iterative improvement \\ Computing the determinant \\ Nearly singular matrices \\ Algol 60 program \\ Fortran, extended Algol, and PL/1 programs \\ Matrix inversion \\ An example: Hilbert matrices \\ Floating-point round-off analysis \\ Rounding error in Gaussian elimination \\ Convergence of iterative improvement \\ Positive definite matrices; band matrices \\ Iterative methods for solving linear systems \\ Nonlinear systems of equations", } @Book{Forsythe:1971:CVL, author = "George E. (George Elmer) Forsythe and Cleve B. Moler", title = "{Computer-Verfahren f{\"u}r lineare algebraische Systeme}. ({German}) [{Computer} solution of linear algebraic systems]", publisher = pub-OLDENBOURG, address = pub-OLDENBOURG:adr, pages = "168", year = "1971", ISBN = "3-486-33601-0", ISBN-13 = "978-3-486-33601-6", LCCN = "????", bibdate = "Tue May 25 08:56:35 2010", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Translated from the American original by Christine und Helmuth Sp{\"a}th.", series = "Verfahren der Datenverarbeitung", ZMnumber = "0217.52503", acknowledgement = ack-nhfb, author-dates = "George Elmer Forsythe (8 January 1917--9 April 1972)", classmath = "*65F05 Direct methods for linear systems 65-01 Textbooks (numerical analysis) 65F10 Iterative methods for linear systems 65Y20 Complexity and performance of numerical algorithms", language = "German", subject = "Numerical analysis; Data processing; Matrices; Programmierung; Lineares Gleichungssystem", xxpages = "162", } @Book{Forsythe:1977:CMM, author = "George E. (George Elmer) Forsythe and Michael A. Malcolm and Cleve B. Moler", title = "Computer Methods for Mathematical Computations", publisher = pub-PH, address = pub-PH:adr, pages = "xi + 259", year = "1977", ISBN = "0-13-165332-6", ISBN-13 = "978-0-13-165332-0", LCCN = "QA297 .F5681", MRclass = "65-01", MRnumber = "MR0458783 (56 \#16983)", MRreviewer = "Sven-{\AA}ke Gustafson", bibdate = "Tue May 25 09:01:08 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/fortran1.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Cited in {\AA}ke Bj{\"o}rck's bibliography on least squares, which is available by anonymous ftp from \path=math.liu.se= in \path=pub/references=", price = "US\$16.95", series = "Prentice-Hall series in automatic computation", ZMnumber = "0361.65002", acknowledgement = ack-nhfb, author-dates = "George Elmer Forsythe (8 January 1917--9 April 1972)", classmath = "*65-01 Textbooks (numerical analysis) 68-01 Textbooks (computer science)", keywords = "Fortran (computer program language); numerical analysis -- data processing", remark = "Subroutines and exercises for the computer solution of problems involving matrices, integrals, differential equations, spline functions, zeros and extrema of functions, least squares, and Monte Carlo techniques.", shorttableofcontents = "Preface / x \\ 1: Introduction / 1 \\ 2: Floating-point computation / 10 \\ 3: Linear systems of equations / 30 \\ 4: Interpolation / 63 \\ 5: Numerical integration / 84 \\ 6: Initial value problems in ordinary differential equations / 110 \\ 7: Solution of nonlinear equations / 156 \\ 8: Optimization / 178 \\ 9: Least squares and the singular value decomposition / 192 \\ 10: Random number generation and Monte Carlo methods / 240 \\ References / 250 \\ Index / 255", subject = "Numerical analysis; Data processing; Computer programs; Problems, exercises, etc; FORTRAN (Computer program language)", tableofcontents = "Preface / x \\ \\ \\ Introduction / 1 \\ 1.1 Bibliography / 2 \\ 1.2 About the programs in this book / 7 \\ Problems / 8 \\ \\ 2 Floating-Point Computation / 10 \\ 2.1 Floating-point numbers JO \\ 2.2 Calculation of machine epsilon / 13 \\ 2.3 An example of round-off error / 14 \\ 2.4 Instability of certain algorithms / 16 \\ 2.5 Sensitivity of certain problems / 17 \\ 2.6 Solving quadratic equations / 20 \\ Problems / 23 \\ \\ 3 Linear Systems of Equations \\ 3.1 Linear systems for stored matrices / 32 \\ 3.2 Condition of a matrix / 41 \\ 3.3 Subroutines DECOMP and SOLVE / 48 \\ 3.4 Large, sparse systems / 56 \\ Problems / 58 \\ \\ 4 Interpolation / 63 \\ 4.1 Polynomial interpolation / 64 \\ 4.2 Evaluation of polynomials / 68 \\ 4.3 An example, Runge's function / 69 \\ 4.4 Spline interpolation / 70 \\ 4.5 Subroutines SPLINE and SEYAL / 76 \\ Problems / 80 \\ \\ 5 Numerical Integration / 84 \\ 5.1 The rectangle and trapezoid rules / 85 \\ 5.2 Spline quadrature / 89 \\ 5.3 Simpson's rule / 91 \\ 5.4 Adaptive quadrature routines / 92 \\ 5.5 Subroutine QUANC8 / 97 \\ Problems / 106 \\ \\ 6 Initial Value Problems in Ordinary Differential Equations / 110 \\ 6.1 The problem to be solved JJO \\ 6.2 Numerical solutions / 112 \\ 6.3 Errors / 114 \\ 6.4 Methods / 119 \\ 6.5 Stiff equations / 123 \\ 6.6 Boundary value problems / 126 \\ 6.7 Choice of a subroutine / 127 \\ 6.8 Subroutine RKF45 / 129 \\ Problems / 148 \\ \\ 7 Solution of Nonlinear Equations / 156 \\ 7.1 Transcendental equations --- real roots / 156 \\ 7.2 Subroutine ZEROIN / 161 \\ 7.3 Transcendental equations --- complex roots / 167 \\ 7.4 Zeros of polynomials / 168 \\ 7.5 Nonlinear systems of equations / 169 \\ Problems / 171 \\ \\ 8 Optimization / 178 \\ 8.1 One-dimensional optimization / 179 \\ 8.2 Subroutine FMIN / 182 \\ 8.3 Optimization in many dimensions / 188 \\ Problems / 190 \\ \\ 9 Least Squares and the Singular Value Decomposition / 192 \\ 9.1 Least squares data fitting / 192 \\ 9.2 Orthogonality and the SYD / 201 \\ 9.3 Applications / 207 \\ 9.4 Computing the decomposition / 218 \\ 9.5 Subroutine SYD / 227 \\ Problems / 236 \\ \\ 10 Random Number Generation and Monte Carlo Methods / 240 \\ 1O.1 Generation of uniformly distributed numbers / 241 \\ 10.2 Subroutine URAND / 245 \\ 10.3 Sampling from other distributions / 247 \\ Problems / 248 \\ \\ References / 250 \\ \\ Index / 255", } @Book{Jennings:1977:MCE, author = "Alan Jennings", title = "Matrix Computation for Engineers and Scientists", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xv + 330", year = "1977", ISBN = "0-471-99421-9 (hardcover), 0-471-27832-7 (paperback)", ISBN-13 = "978-0-471-99421-3 (hardcover), 978-0-471-27832-0 (paperback)", LCCN = "TA347 .D4J461", bibdate = "Wed Dec 15 10:35:36 1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, tableofcontents = "1: Basic algebraic and numerical concepts \\ What is a matrix \\ The matrix equation \\ Matrix multiplication \\ Some special matrix forms \\ The matrix transpose and symmetry \\ The determinant of a matrix \\ The solution of simultaneous equations \\ Gaussian elimination and pivotal condensation \\ Equations with multiple right-hand sides \\ Transforming matrix equations \\ The rank of a matrix \\ The matrix inverse \\ Significance of the inverse \\ The transpose and inverse in matrix expressions \\ Partitioning of matrices \\ The eigenvalues of a matrix \\ Some eigenvalue properties \\ Eigenvectors \\ Norms and normalization \\ Orthogonality conditions for eigenvectors of symmetric matrices \\ Quadric forms and positive definite matrices \\ Gerschgorin discs \\ 2: Some matrix problems \\ An electrical resistance network \\ Alternative forms of the network equations \\ Properties of electrical resistance network equations \\ Other network problems \\ Least squares for overdetermined equations \\ Error adjustments in surveying \\ Curve fitting by least squares \\ A heat transfer field problem \\ The finite difference method \\ The finite element method \\ A source and sink method \\ A non-linear cable analysis by the Newton--Raphson method \\ 3: Computer implementation \\ Storage of numbers \\ Rounding errors \\ Array storage for matrices \\ Matrix multiplication using two dimensional arrays \\ On program efficiency \\ One-dimensional storage for matrix operations \\ One the use of backing store \\ Computer packages \\ Sparse storage \\ Random packing \\ The use of address links \\ Systematic packing \\ Some notes on sparse packing schemes \\ Operations involving systematically packed matrices \\ Series storage of sparse matrices \\ regular pattern storage schemes \\ variable bandwidth storage \\ Submatrix storage schemes \\ 4: Elimination methods for linear equations \\ Triangular decomposition \\ Equivalence of Gaussian elimination of triangular decomposition \\ When pivot selection is unnecessary \\ Pivot selection \\ Row and column scaling \\ On loss of accuracy in elimination \\ On pivot selection \\ Ill-conditioning \\ \ldots{} in practice \\ Residuals and iterative improvement \\ Twin pivoting for symmetric matrices \\ Equations with prescribed variables \\ 5: Sparse matrix elimination \\ Changes in sparsity pattern during elimination \\ Graphical interpretation of sparse elimination \\ Diagonal band elimination \\ A variable bandwidth elimination algorithm \\ The Cuthill--McKee algorithm and its reverse \\ Some other renumbering schemes \\ Elimination in a packed store \\ Elimination using submatrices \\ Substructure methods \\ Nested dissection \\ On the use of backing store \\ Unsymmetric band elimination \\ Unsymmetric elimination in a packed store \\ Computing elements of a sparse inverse \\ 6: Some matrix eigenvalue problems \\ Column buckling \\ Structural vibration \\ Linearized eigenvalue problems \\ Damped vibration \\ Dynamic stability \\ reduction of the quadratic eigenvalue problem to standard form \\ Principal component analysis \\ A geometrical interpretation of principal component analysis \\ Markov chains \\ Markov chains for assessing computer performance \\ Some eigenvalue properties of stochastic matrices \\ 7: Transformation methods for eigenvalue problems \\ Orthogonal transformation of a matrix \\ Jacobi diagonalization \\ Computer implementation of Jacobi diagonalization \\ Givens tridiagonalization \\ Householder's transformation \\ Implementation of Householder's tridiagonalization \\ Transformation of band symmetric matrices \\ Eigenvalue properties of unsymmetric matrices \\ Similarity transformations \\ Reduction to upper Hessenberg form \\ The LR transformation \\ Convergence of the LR method \\ The QR and QL transformations \\ Origin shift with the QR method \\ Discussion of the QR method \\ The application of the transformation methods \\ 8: Sturm sequence methods \\ The characteristic equation \\ The Sturm sequence property \\ Bisection for tridiagonal matrices \\ Discussion of bisection for tridiagonal matrices \\ Bisection for general symmetric matrices \\ Bisection for band matrices \\ Non-linear symmetric eigenvalue problems \\ 9: Vector iterative methods for partial eigensolution \\ The power method \\ Convergence characteristics of the power method \\ Eigenvalue shift and inverse iteration \\ A simultaneous iteration method \\ The convergence rate and efficiency of simultaneous iteration \\ Simultaneous iteration for symmetric matrices \\ \ldots{} unsymmetric \\ Simultaneous and subspace iteration for vibration frequency analysis \\ The symmetric Lanczos method \\ Theoretical basis for the Lanczos \\ Convergence characteristics of Lanczos' method \\ Extensions of Lanczos' method \\ Shift strategies with advanced vector \\ 10: Orthogonalization and re-solution techniques for linear equations \\ Decompositions of a rectangular matrix \\ Efficiency and accuracy in least squares problems \\ Sparse least squares problems \\ Singular value decomposition \\ Use of singular value composition \\ The solution of modified equations \\ The use of supplementary variables \\ Updating factorization \\ Discussion of equation modification \\ 11: Iterative methods for linear equations \\ Jacobi and Gauss--Seidel iteration \\ Successive over-relaxation \\ General characterization of iterative methods \\ The iteration matrix \\ SOR convergence with a symmetric positive definite matrix \\ Matrices with property A \\ On the acceleration of stationary methods \\ The method of steepest decent \\ The method of conjugate gradients (CG) \\ Convergence of the CG method \\ Generalized CG formulations \\ Block relaxation \\ Preconditioning \\ ICCG methods \\ 12: Non-linear equations \\ The Newton--Raphson method \\ Globally convergent algorithms \\ Dealing with ill-conditioning \\ Avoiding the need to compute derivatives \\ Overdetermined sets of equations \\ Practical considerations \\ 13: Parallel and vector computing \\ Mutual independence in matrix operations \\ High-speed computer architecture \\ Matrix--vector multiplication on non-sequential machines \\ Solving dense sets of linear equations on non-sequential machines \\ Solution of banded equations \\ General sparse equations \\ Parallelizing a sequential code", } @Book{Todd:1978:BNM, author = "John Todd", title = "Basic Numerical Mathematics", volume = "14, 22", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "253 (vol. 1, est.), 250 (vol. 2, est.)", year = "1978", ISBN = "0-12-692401-5 (vol. 1), 0-12-692402-3 (vol. 2)", ISBN-13 = "978-0-12-692401-5 (vol. 1), 978-0-12-692402-2 (vol. 2)", LCCN = "QA297 .T58 1978", bibdate = "Tue Mar 27 18:01:38 MDT 2018", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "International series of numerical mathematics", acknowledgement = ack-nhfb, author-dates = "1911--2007", remark = "Library catalog entries show years of 1977, 1978, 1979, 1980, and 1981 with same ISBN.", subject = "Numerical analysis; Data processing", tableofcontents = "Volume 1 \\ Notation and Abbreviations / 8 \\ Preface / 10 \\ 1: The algorithms of Gauss, Borchardt and Carlson / 13 \\ 2: Orders of magnitude and rates of convergence / 24 \\ 3: Recurrence relations for powers / 33 \\ 4: The solution of equations / 46 \\ 5: Uniform convergence and approximation / 55 \\ 6: The acceleration processes of Aitken and Euler / 66 \\ 7: Asymptotic series / 73 \\ 8: Interpolation / 84 \\ 9: Quadrature / 97 \\ 10: Difference equations, differentiation and differential equations / 118 \\ Appendix: Bessel functions / 141 \\ Solutions to Selected Problems / 159 \\ Bibliographical Remarks / 247 \\ Table of Contents, Volume 2, Numerical Algebra / 250 \\ Index / 251 \\ \\ Volume 2, Numerical Algebra \\ Notations and Abbreviations / 7 \\ Preface / 9 \\ 1: Manipulation of Vectors and Matrices / 13 \\ 2: Norms of Vectors and Matrices / 16 \\ 3: Induced Norms / 19 \\ 4: The Inversion Problem I: Theoretical Arithmetic / 29 \\ 5: The Inversion Problem II: Practical Computation / 44 \\ 6: The Characteristic Value Problem --- Generalities / 53 \\ 7: The Power Method, Deflation, Inverse Iteration / 65 \\ 8: Characteristic Values / 71 \\ 9: Iterative Methods for the Solution of Systems $ A x = b $ / 83 \\ 10: Application: Solution of a Boundary Value Problem / 99 \\ 11: Application: Least Squares Curve Fitting / 105 \\ 12: Singular Value Decomposition and Pseudo-Inverses / 110 \\ Solution to Selected Problems / 117 \\ Bibliographical Remarks / 212 \\ Index / 214", xxnote = "The xxtableofcontents value does NOT match that shown in the Google Books' view of volume 1. I have entered the correct data by hand.", xxtableofcontents = "\ldots{} \\ Practical Computation and Theoretical Arithmetic Chapter 3. Problems \\ Chapter 4. The Solution of Equations \\ 1. Quadratic Equations \\ 2. Bad Examples \\ 3. Newton's Process \\ 4. Newton's Process for Polynomial Equations \\ Chapter 4. Problems \\ Chapter 5. Uniform Convergence and Approximations \\ 1. Uniform Convergence \\ 2. Weierstrass Theorem. Bernstein Proof \\ 3. Best Approximation: Chebyshev Polynomials \\ Chapter 5. Problems \\ Chapter 6. The Acceleration Processes of Aitken and Euler \\ 1. The Aitken Transform of a Sequence \\ 2. The Euler Transform of an Alternating Series \\ Chapter 6. Problems \\ Chapter 7. Asymptotic Series \\ 1. A Classical Example \\ 2. The Fresnel Integrals \\ 3. The Error Functions \\ 4. The Gamma Function \\ 5. The Computation of Functions \\ 6. The Tabulation of Functions \\ Chapter 7. Problems \\ Chapter 8. Interpolation \\ 1. Lagrangian Interpolation \\ 2. Aitken's Algorithm \\ 3. Inverse Interpolation \\ 4. Errors in Interpolation \\ 5. Hermite Interpolation \\ Chapter 8. Problems \\ Chapter 9. Quadrature \\ 1. Trapezoidal Quadrature \\ 2. Richardson \\ Extrapolation \\ Romberg Quadrature \\ 3. Gaussian Quadrature \\ 4. Gauss \\ Chebyshev Quadrature \\ 5. The Lemniscate Constants \\ 6. Stirling's Formula Chapter 9. Problems \\ Chapter 10. Difference Equations, Differentiation and Differential Equations \\ 1. Difference Equations \\ 2. Differencing \\ 3. Differentiation \\ 4. Differential Equations \\ Types of Problems \\ 5. Numerical Solution: Picard, Euler, Heun \\ 6. Milne-Simpson Predictor-Corrector \\ 7. Local Taylor Series \\ 8. Instability \\ 9. Two Point Problems \\ Chapter 10. Problems \\ Appendix: Bessel Functions \\ Solutions to Selected Problems \\ Bibliographical Remarks \\ Contents Vol. 2. Numerical Algebra \\ Index", yytableofcontents = "v. 1. Numerical analysis.--v. 2. Numerical algebra", } @Book{Forsythe:1980:MMM, author = "George E. Forsythe and Michael A. Malcolm and Cleve B. Moler", title = "Ma{\v{s}}innye metody matemati{\v{c}}eskich vy{\v{c}}islenij. ({Russian}) [{Computer} Methods for Mathematical Computations]", publisher = "Izdatel'stvo Mir", address = "Moscow, USSR", pages = "280", year = "1980", MRclass = "65-01 (65-04)", MRnumber = "MR586770 (82a:65001)", bibdate = "Tue May 25 09:06:54 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Translated from the English by Kh. D. Ikramov.", ZMnumber = "0547.65001", acknowledgement = ack-nhfb, author-dates = "George Elmer Forsythe (8 January 1917--9 April 1972)", classmath = "65-01 Textbooks (numerical analysis) 65-04 Machine computation, programs (numerical analysis) 65Cxx Numerical simulation 65Hxx Nonlinear algebraic or transcendental equations 65Dxx Numerical approximation 65L05 Initial value problems for ODE (numerical methods) 65Fxx Numerical linear algebra 65G50 Roundoff error", keywords = "elementary numerical analysis; floating-point computation; Fortran subroutines; interpolation; least squares; linear systems of equations; Monte Carlo methods; numerical computing; numerical integration; optimization; random number generation; singular value decomposition; textbooks", language = "Russian", } @Book{Schutz:1980:GMM, author = "Bernard F. Schutz", title = "Geometrical methods of mathematical physics", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xii + 250", year = "1980", ISBN = "0-521-23271-6, 0-521-29887-3 (paperback)", ISBN-13 = "978-0-521-23271-5, 978-0-521-29887-2 (paperback)", LCCN = "QC20.7.D52 S34", bibdate = "Wed May 11 13:57:59 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/description/cam022/80040211.html; http://www.loc.gov/catdir/enhancements/fy0729/80040211-b.html; http://www.loc.gov/catdir/toc/cam029/80040211.html", acknowledgement = ack-nhfb, subject = "geometry, differential; mathematical physics", } @Book{Vandergraft:1983:INC, author = "James S. Vandergraft", title = "Introduction to Numerical Computations", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, edition = "Second", pages = "xiv + 372", year = "1983", ISBN = "0-12-711356-8", ISBN-13 = "978-0-12-711356-2", LCCN = "QA297 .V28 1983", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", mynote = "Gives lots of error analysis, using Stewart notation. But not impressive. Gives the +/- alg for summation and gives an error analysis for Jacobi that makes an unwarranted assumption and concludes backward stable.", tableofcontents = "Preface \\ Acknowledgments \\ List of Special Symbols \\ 1. Basic Aspects of Numerical Computations \\ 1.1 Numerical Algorithms \\ 1.2 Unstable Problems (Ill-Conditioning) \\ 1.3 Unstable Methods \\ Suggestions for Further Reading \\ 2. Computer Arithmetic \\ 2.1 Number Representation \\ 2.2 Floating Point Numbers \\ 2.3 Arithmetic Operations \\ 2.4 Errors in Computer Arithmetic \\ 2.5 Analysis of Errors \\ Suggestions for Further Reading \\ 3. Evaluation of Functions \\ 3.1 Summation \\ 3.2 Polynomial Evaluation \\ 3.3 Rational and Transcendental Functions \\ 3.4 Avoiding Subtractive Cancellation \\ Suggestions for Further Reading \\ 4. Interpolation and Approximation \\ 4.1 Polynomial Interpolation \\ 4.2 Least Squares Approximation \\ 4.3 Spline Interpolation \\ Suggestions for Further Reading \\ 5. Differentiation and Integration \\ 5.1 Numerical Differentiation \\ 5.2 Numerical Integration --- Newton--Cotes Formulas \\ 5.3 Adaptive Integration \\ 5.4 Romberg Integration \\ 5.5 Numerical Integration -- Gaussian Methods \\ Suggestions for Further Reading \\ 6. Systems of Linear Equations \\ 6.1 Basic Concepts \\ 6.2 Gaussian Elimination \\ 6.3 Matrix Applications of Gaussian Elimination \\ 6.4 Rounding Error Analysis \\ 6.5 Error Estimates and Accuracy Improvement \\ 6.6 Efficiency Estimates \\ 6.7 Error Estimates --- Matrix Methods \\ 6.8 Iterative Methods \\ Suggestions for Further Reading \\ 7. Nonlinear Equations \\ 7.1 Basic Methods \\ 7.2 Convergence Results \\ 7.3 Stability and Effects of Rounding Errors \\ 7.4 Efficiency --- Rates of Convergence \\ 7.5 Roots of Polynomials \\ Suggestions for Further Reading \\ 8. Ordinary Differential Equations \\ 8.1 Differential and Difference Equations \\ 8.2 Basic Methods \\ 8.3 Error Estimates \\ 8.4 Practical Aspects of Solving Differential Equations \\ 8.5 Boundary Value Problems \\ Suggestions for Further Reading \\ Appendix \\ Bibliography \\ Index", } @Book{Yakowitz:1986:INC, author = "Sidney J. Yakowitz and Ferenc Szidarovszky", title = "An Introduction to Numerical Computations", publisher = "Macmillan", address = "New York, NY, USA", pages = "xiii + 384", year = "1986", ISBN = "0-02-430810-2 (hardcover), 0-02-430820-X (solutions)", ISBN-13 = "978-0-02-430810-8 (hardcover), 978-0-02-430820-7 (solutions)", LCCN = "QA297 .Y35 1986", bibdate = "Thu Nov 6 05:38:29 MST 2025", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib;", acknowledgement = ack-nhfb, subject = "Numerical analysis; Data processing; Problems, exercises, etc; Analyse num{\'e}rique; Informatique; Probl{\`e}mes et exercices; Data processing.", tableofcontents = "1 Computer Number Representation and Roundoff / 1 \\ 1.1 Fundamental Capabilities of a Computer / 1 \\ 1.2 Concepts of Computation Error / 5 \\ 1.3 Computer Representation of Numbers / 6 \\ 1.3.1 Number Systems / 7 \\ 1.3.2 Integer Representation / 8 \\ 1.3.3 Floating-Point Representation / 10 \\ 1.4 Roundoff Error / 14 \\ 1.4.1 Roundoff Error Bounds and Machine Epsilon/ 14 \\ 1.4.2 Roundoff Error in Action / 15 \\ 1.5 Absolute and Relative Error Bounds / 18 \\ 1.6 Error Propagation / 19 \\ 1.6.1 Propagation of Error in a Single Computation / 19 \\ *1.6.2 Error Propagation in Arithmetic / 23 \\ *1.6.3 Propagation of Errors Through a Computation / 25 \\ 1.7 Supplementary Notes and Discussions / 28 \\ Problems / 29 \\ 2 Interpolation / 33 \\ 2.1 Orientation and Preview / 33 \\ 2.2 Homer's Rule / 34 \\ 2.3 Taylor's Polynomials / 37 \\ 2.4 Polynomial Interpolation / 41 \\ 2.4.1 Definition of Interpolation / 41 \\ 2.4.2 Lagrange Interpolation / 42 \\ 2.4.3 Truncation Error of Interpolation Polynomials / 48 \\ 2.4.4 Refinements and Limitations of Polynomial Interpolation / 50 \\ *2.4.5 The Newton Representation / 53 \\ 2.5 Spline Functions / 57 \\ 2.5.1 Motivation for Piecewise Polynomial Methods/ 57 \\ 2.5.2 Definition of Splines / 59 \\ 2.5.3 Cubic Splines / 62 \\ *2.5.4 Strengths and Limitations of Spline Interpolation / 70 \\ 2.6 Supplementary Notes and Discussions / 72 \\ Problems / 74 \\ 3 Numerical Differentiation and Integration / 79 \\ 3.1 Preliminaries / 79 \\ 3.2 Numerical Differentiation / 80 \\ 3.3 Interpolatory Quadrature / 87 \\ 3.4 Compound Quadrature Formulas / 92 \\ 3.4.1 Midpoint, Trapezoidal, Simpson's, and Related Rules / 92 \\ *3.4.2 Error Analysis of Compound Formulas / 100 \\ 3.5 Extrapolation and Romberg Integration / 106 \\ *3.5.1 Richardson's Extrapolation and Corrected Formulas / 107 \\ 3.5.2 Romberg Integration / 108 \\ 3.6 Gauss Quadrature / 112 \\ *3. 7 Improper Integrals / 119 \\ *3.8 On-Line Error Estimation and Adaptive Quadrature / 122 \\ *3.8.1 Estimation and Control of Error / 122 \\ *3.8.2 Adaptive Quadrature / 125 \\ 3.9 Supplementary Notes and Discussions / 128 \\ Problems / 130 \\ 4 The Solution of Simultaneous Linear Equations / 135 \\ 4.1 Preliminaries / 135 \\ 4.2 Gaussian Elimination / 136 \\ 4.2.1 An Example of Elimination / 136 \\ 4.2.2 Naive Gaussian Elimination / 138 \\ 4.2.3 Gaussian Elimination with Pivoting / 140 \\ 4.2.4 Error Checks / 148 \\ *4.2.5 Analysis of Computational Effort / 152 \\ 4.3 Matrix Inversion, Determinants, and Band Systems / 153 \\ 4.3.1 Gauss Elimination for Matrix Inversion / 153 \\ *4.3.2 Evaluation of Determinants / 157 \\ *4.3.3 Band Systems / 158 \\ 4.4 Matrix Conditioning / 162 \\ 4.4.1 A Qualitative Notion of Conditioning / 162 \\ *4.4.2 Quantification of Ill-Conditioning / 164 \\ *4.5 LU Decomposition and Cholesky's Method / 168 \\ *4.5.1 Dolittle Reduction / 168 \\ *4.5.2 Cholesky's Method / 173 \\ *4.6 Iterative Methods / 175 \\ *4.6.1 Jacobi Iteration / 175 \\ *4.6.2 Gauss--Seidel Iteration / 177 \\ *4.7 Eigenvalues / 181 \\ 4.8 Supplementary Notes and Discussions / 185 \\ Problems / 186 \\ 5 Nonlinear Equations / 191 \\ 5.1 Preliminaries / 191 \\ 5.2 The Graphical Approach / 192 \\ 5.3 The Bisection Method / 194 \\ 5.4 The Secant Method/ 199 \\ 5.5 Newton's Method / 203 \\ *5.6 Convergence and Error Properties of the Bisection, Secant, and Newton's Methods / 210 \\ 5.7 Polynomial Roots / 211 \\ 5.7.1 Background Information / 211 \\ 5.7.2 Polynomial Roots by Newton's Method/ 213 \\ *5.7.3 Bairstow's Method / 216 \\ *5.8 Systems of Nonlinear Equations / 220 \\ 5.9 Supplementary Notes and Discussions / 224 \\ Problems / 225 \\ 6 Function Approximation and Data Fitting / 229 \\ 6.1 Preliminaries / 229 \\ 6.2 Least-Squares Approximation / 231 \\ 6.2.1 Construction of Least-Squares Polynomials / 231 \\ 6.2.2 Practical Considerations and Case Studies / 240 \\ *6.2.3 Linear and Nonlinear Least-Squares Problems / 245 \\ 6.2.4 Ill-Conditioning in Least-Squares Methods / 250 \\ *6.2.5 Links Between the Least-Squares Theory and Statistics / 252 \\ *6.3 Uniform Approximation / 254 \\ *6.4 Orthogonal Function and Fourier Approaches to Least-Squares Approximations / 264 \\ *6.4.1 Application of Orthogonal Polynomials / 264 \\ *6.4.2 Fourier Analysis / 271 \\ *6.4.3 Discrete and Fast Fourier Transforms / 274 \\ 6.5 Supplementary Notes and Discussions / 281 \\ Problems / 282 \\ 7 The Solution of Ordinary Differential Equations / 285 \\ 7.1 Introduction / 285 \\ 7.2 The Most Elementary Methods and Their Limitations / 286 \\ 7.2.1 The Taylor's Series Method / 286 \\ 7.2.2 Euler's Method / 290 \\ *7.2.3 Foundations for More Accurate Methods / 293 \\ 7.3 Runge--Kutta Methods / 295 \\ 7.3.1 Runge--Kutta Formulas / 295 \\ *7.3.2 Parameter Selection for Runge--Kutta Formulas / 303 \\ 7.4 Adams and Linear Multistep Methods / 306 \\ 7.5 Simultaneous and Higher-Order Differential Equations / 311 \\ *7.6 Two-Point Boundary-Value Problems / 317 \\ *7.6.1 Linear Two-Point Boundary-Value Problems / 318 \\ *7.6.2 The Shooting Method for Nonlinear Two-Point Boundary-Value Problems / 320 \\ *7.7 Adaptive Step-Size Selection and Error Control / 323 \\ 7.8 Supplementary Notes and Discussions / 329 \\ Problems / 330 \\ References / 335 \\ Appendix A: Fundamentals of Matrix Theory / 337 \\ Appendix B: Calculus Background / 349 \\ Appendix C: Simplex Subroutine for Linear Programming / 359 \\ Answers to Selected Problems / 367 \\ List of Computer Programs / 373 \\ List of Subroutines / 375 \\ Index / 377", } @Book{Acton:1990:NMW, author = "Forman S. Acton", title = "Numerical methods that work", publisher = pub-MATH-ASSOC-AMER, address = pub-MATH-ASSOC-AMER:adr, pages = "xx + 549", year = "1990", ISBN = "0-88385-450-3", ISBN-13 = "978-0-88385-450-1", LCCN = "QA297 .A33 1990", MRclass = "65-01", MRnumber = "1074173 (92a:65002)", bibdate = "Tue May 27 08:31:03 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Cover title: Numerical methods that usually work. Updated and revised from the 1970 edition published by Harper and Row.", URL = "http://www.loc.gov/catdir/description/cam024/90062538.html; http://www.loc.gov/catdir/toc/cam027/90062538.html", acknowledgement = ack-nhfb, keywords = "numerical analysis", remark = "Cover title: Numerical methods that usually work. ``Updated and revised from the 1970 edition published by Harper and Row, Publishers''", subject = "Numerical analysis", } @InProceedings{Alekseev:1990:ESI, author = "A. S. Alekseev and G. N. Erokhin and N. L. Podkolodny", title = "Expert Systems for Inverse Problems of Wave Propagation Theory", crossref = "Houstis:1990:IMS", pages = "43--50", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @Book{Allgower:1990:NCM, author = "E. L. (Eugene L.) Allgower and Kurt Georg", title = "Numerical continuation methods: an introduction", volume = "13", publisher = pub-SV, address = pub-SV:adr, pages = "xiv + 388", year = "1990", ISBN = "3-540-12760-7, 0-387-12760-7 (New York)", ISBN-13 = "978-3-540-12760-4, 978-0-387-12760-6 (New York)", LCCN = "QA377 .A562 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Springer series in computational mathematics", acknowledgement = ack-nhfb, keywords = "continuation methods", } @InProceedings{Anand:1990:TEC, author = "T. S. Anand and R. Gupta", title = "A Tool for Evaluating Compiler-Based Parallelization Strategies", crossref = "Houstis:1990:IMS", pages = "103--110", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Arioli:1990:ETL, author = "Mario Arioli and Iain S. Duff", title = "Experiments in tearing large sparse systems", crossref = "Cox:1990:RNC", pages = "207--226", year = "1990", MRclass = "65F50", MRnumber = "098 326", bibdate = "Wed Jan 17 09:24:49 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Atteia:1990:EAN, author = "M. (Marc) Atteia and M. (Michel) Pradel", title = "{{\'E}}l{\'e}ments d'analyse num{\'e}rique. ({French}) [{Elements} of numerical analysis]", publisher = "C{\'e}padu{\`e}s {\'E}ditions", address = "Toulouse, France", pages = "viii + 154", year = "1990", ISBN = "2-85428-229-9, 2-85428-299-9", ISBN-13 = "978-2-85428-229-0, 978-2-85428-299-3", LCCN = "QA297 .A88 1990", MRclass = "65-01", MRnumber = "1093665 (92a:65003)", MRreviewer = "A. Haimovici", bibdate = "Tue May 27 08:31:03 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", price = "90F", acknowledgement = ack-nhfb, language = "French", subject = "Numerical analysis", } @InCollection{Babuska:1990:DCM, author = "I. Babuska", title = "The development of computational mathematics in {Czechoslovakia} and the {USSR}", crossref = "Nash:1990:HSC", pages = "314--328", year = "1990", DOI = "https://doi.org/10.1145/87252.88107", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Badriev:1990:CM, author = "I. B. Badriev and S. N. Voloshanovskaya", title = "Chislennye metody. ({Russian}) [{Numerical} methods]", publisher = "Kazanski{\u\i} Gosudarstvenny{\u\i} Universitet", address = "Kazan\cprime, Tatarstan", pages = "172", year = "1990", MRclass = "65-01 (41-01 65Dxx)", MRnumber = "1212766 (93m:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Priblizhenie funktsii i chislennoe integrirovanie. [Approximation of functions, and numerical integration]", acknowledgement = ack-nhfb, language = "Russian", } @InProceedings{Balaban:1990:KRA, author = "D. Balaban and J. Garbarini and W. Greiman and M. Durst", title = "Knowledge Representations for the Automatic Generation of Numerical Simulators for {PDEs}", crossref = "Houstis:1990:IMS", pages = "269--280", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Barnett:1990:EES, author = "D. Barnett and D. Kahaner", title = "Experiences with an Expert System for {ODEs}", crossref = "Houstis:1990:IMS", pages = "5--14", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Beelen:1990:CAJ, author = "Theo Beelen and Paul {Van Dooren}", title = "Computational aspects of the {Jordan} canonical form", crossref = "Cox:1990:RNC", pages = "57--72", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Beltzer:1990:VFE, author = "A. I. Beltzer", title = "Variational and finite element methods", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 254", year = "1990", DOI = "https://doi.org/10.1007/978-3-642-83914-6", ISBN = "3-540-51598-4", ISBN-13 = "978-3-540-51598-2", MRclass = "65-01 (65-04 65N30 73-04 73V05 73V25)", MRnumber = "1045630 (91c:65001)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "A symbolic computation approach", acknowledgement = ack-nhfb, } @InProceedings{Berkbigler:1990:GAP, author = "K. P. Berkbigler and P. A. Max", title = "The Graphics Advisor: a Prototypical Advisory Expert System", crossref = "Houstis:1990:IMS", pages = "187--196", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InCollection{Birkhoff:1990:FDR, author = "Garrett Birkhoff", title = "Fluid dynamics, reactor computations, and surface representation", crossref = "Nash:1990:HSC", pages = "63--87", year = "1990", DOI = "https://doi.org/10.1145/87252.88072", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Bjorck:1990:IRR, author = "{\AA}ke Bj{\"o}rck", title = "Iterative refinement and reliable computing", crossref = "Cox:1990:RNC", pages = "249--266", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InCollection{Block:1990:SEN, author = "I. Edward Block", title = "Shaping the evolution of numerical analysis in the computer age: the {SIAM} thrust", crossref = "Nash:1990:HSC", pages = "199--205", year = "1990", DOI = "https://doi.org/10.1145/87252.88088", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Boisvert:1990:GAM, author = "R. F. Boisvert", title = "The {Guide to Available Mathematical Software Advisory System}", crossref = "Houstis:1990:IMS", pages = "167--178", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Bonomo:1990:XIP, author = "J. P. Bonomo and W. R. Dyksen", title = "{XELLPACK}: An Interactive Problem-Solving Environment for Elliptic Partial Differential Equations", crossref = "Houstis:1990:IMS", pages = "331--342", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @PhdThesis{Borges:1990:NMI, author = "Carlos Freitas Borges", title = "Numerical methods for illumination models in realistic image synthesis", type = "Thesis (Ph.D.) in Applied Mathematics", school = "University of California, Davis", address = "Davis, CA, USA", pages = "107", year = "1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- University of California, Davis --- applied mathematics", } @Book{Bruce:1990:MM, author = "J. W. (James William) Bruce and P. J. Giblin and P. J. Rippon", title = "Microcomputers and mathematics", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xvi + 425", year = "1990", ISBN = "0-521-37515-0, 0-521-31238-8 (paperback)", ISBN-13 = "978-0-521-37515-3, 978-0-521-31238-7 (paperback)", LCCN = "QA76.95 .B78 1989", MRclass = "65-01 (11Yxx 65-04)", MRnumber = "1079725 (92a:65004)", MRreviewer = "Gerald J. Janusz", bibdate = "Tue May 27 08:31:04 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/description/cam024/90031051.html; http://www.loc.gov/catdir/toc/cam027/90031051.html", acknowledgement = ack-nhfb, author-dates = "1952--", subject = "Mathematics; Data processing; Microcomputers", } @InCollection{Buneman:1990:PTS, author = "Oscar Buneman", title = "Particles in their self-consistent field: from {Hartree}'s differential analyzer to {Cray} machines", crossref = "Nash:1990:HSC", pages = "57--62", year = "1990", DOI = "https://doi.org/10.1145/87252.88069", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Chatelin:1990:PRE, author = "Fran{\c{c}}oise Chatelin and Marie-Christine Brunet", title = "A probabilistic round-off error propagation model. Application to the eigenvalue problem", crossref = "Cox:1990:RNC", pages = "139--160", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Chiang:1990:ESM, author = "M. K. Chiang and S. A. Zenios", title = "An Experts System for Matrix Balancing", crossref = "Houstis:1990:IMS", pages = "343--352", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @Book{Ciarlet:1990:HNA, author = "Philippe G. Ciarlet and Jacques Louis Lions", title = "Handbook of numerical analysis", publisher = "Distributors for the United States and Canada, Elsevier Science Pub. Co.", address = "New York", pages = "various", year = "1990", ISBN = "0-444-70366-7 (vol. 1), 0-444-70365-9 (vol. 2), 0-444-89928-6 (vol. 3), 0-444-81794-8 (vol. 4), 0-444-82569-X (vol. 6)", ISBN-13 = "978-0-444-70366-8 (vol. 1), 978-0-444-70365-1 (vol. 2), 978-0-444-89928-6 (vol. 3), 978-0-444-81794-5 (vol. 4), 978-0-444-82569-8 (vol. 6)", LCCN = "QA297 .H287 1990 v.1-6 (1990-1998)", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Contents: vol. 1. Finite difference methods (pt. 1). Solutions of equations in Rn (pt. 1) --- vol. 2. Finite element methods (pt. 1) --- vol. 3. Techniques of scientific computing (pt. 1). Numerical methods for solids (pt. 1). Solution of equations in Rn (pt. 2) -- vol. 4. Finite element methods (pt. 2). Numerical methods for solids (pt. 2) --- vol. 6. Numerical methods for solids (pt. 3). Numerical methods for fluids (pt. 1)", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @InCollection{Cohen:1990:HHA, author = "I. Bernard Cohen", title = "{Howard H. Aiken} and the computer", crossref = "Nash:1990:HSC", pages = "41--52", year = "1990", DOI = "https://doi.org/10.1145/87252.88066", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InCollection{Cooley:1990:HFG, author = "James W. Cooley", title = "How the {FFT} gained acceptance", crossref = "Nash:1990:HSC", pages = "133--140", year = "1990", DOI = "https://doi.org/10.1145/87252.88078", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Cox:1990:LSS, author = "M. (Maurice) G. Cox", title = "The least squares solution of linear equations with block-angular observation matrix", crossref = "Cox:1990:RNC", pages = "227--240", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{DanielKowalski:1990:AAA, author = "A. {Daniel Kowalski} and R. L. Peskin and M. F. Russo", title = "Anatomy of {AGNES}: An Automatic Generator of Numerical Equation Solutions", crossref = "Houstis:1990:IMS", pages = "33--42", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InCollection{Dantzig:1990:OSM, author = "George B. Dantzig", title = "Origins of the simplex method", crossref = "Nash:1990:HSC", pages = "141--151", year = "1990", DOI = "https://doi.org/10.1145/87252.88081", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Demmel:1990:NDM, author = "James Demmel", title = "Nearest defective matrices and the geometry of ill-conditioning", crossref = "Cox:1990:RNC", pages = "35--55", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Desai:1990:NMC, author = "C. S. Desai and G. Gioda", title = "Numerical methods and constitutive modelling in geomechanics", volume = "311", publisher = pub-SV, address = pub-SV:adr, pages = "407", year = "1990", ISBN = "3-211-82215-1 (Wien-New York), 0-387-82215-1 (New York-Wien)", ISBN-13 = "978-3-211-82215-9 (Wien-New York), 978-0-387-82215-0 (New York-Wien)", LCCN = "TA350.3.I5 no.311", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "At head of title: International Centre for Mechanical Sciences.", series = "Courses and lectures", acknowledgement = ack-nhfb, keywords = "engineering geology --- mathematics; numerical analysis; soil mechanics --- mathematical models", } @Book{Dobronets:1990:TSN, author = "B. S. Dobronets and V. V. Shaydurov", title = "Two-sided Numerical Methods", publisher = "Nauka (Siberian Department)", address = "Novosibirsk, Russia", pages = "208", year = "1990", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Mon Jan 07 11:47:13 2013", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/reliablecomputing.bib", acknowledgement = ack-nhfb, } @InProceedings{Dongarra:1990:ENS, author = "Jack Dongarra and Sven Hammarling", title = "Evolution of numerical software for dense linear algebra", crossref = "Cox:1990:RNC", pages = "297--327", year = "1990", MRclass = "65-04 (65F99)", MRnumber = "1 098 332", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Doshi:1990:IAI, author = "R. S. Doshi and R. S. Desai and R. Lam and J. E. White", title = "Integration of Artificial Intelligence Planning and Robotic Systems with {Airobic}", crossref = "Houstis:1990:IMS", pages = "227--240", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Duff:1990:MMP, author = "Iain S. Duff and Nicholas I. M. Gould and Marc Lescrenier and John K. Reid", title = "The multifrontal method in a parallel environment", crossref = "Cox:1990:RNC", pages = "93--111", year = "1990", bibdate = "Fri Nov 11 17:48:17 MST 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Dyksen:1990:EEE, author = "W. R. Dyksen and C. R. Gritter", title = "Elliptic Expert: An Expert System for Elliptic Partial Differential Equations", crossref = "Houstis:1990:IMS", pages = "23--32", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @Book{Elden:1990:NA, author = "Lars Eld{\'e}n and Linde Wittmeyer-Koch", title = "Numerical analysis", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "x + 347", year = "1990", ISBN = "0-12-236430-9", ISBN-13 = "978-0-12-236430-3", MRclass = "65-01", MRnumber = "1050549 (91d:65001)", MRreviewer = "Chris Arney", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "An introduction, Translated from the Swedish", acknowledgement = ack-nhfb, } @Book{Elden:1990:NAI, author = "Lars Eld{\'e}n and Linde Wittmeyer-Koch", title = "Numerical analysis: an introduction", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "x + 347", year = "1990", ISBN = "0-12-236430-9", ISBN-13 = "978-0-12-236430-3", LCCN = "QA297 .E4213 1990", bibdate = "Tue May 27 08:31:05 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Rev. translation of: Numerisk analys.", acknowledgement = ack-nhfb, author-dates = "1944--", keywords = "numerical analysis", remark = "Rev. translation of: Numerisk analys.", subject = "Numerical analysis", } @PhdThesis{Elton:1990:NTL, author = "Altamont Bracy Hamilton Elton", title = "A numerical theory of lattice gas and lattice {Boltzmann} methods in the computation of solutions to nonlinear advective-diffusive systems", type = "Thesis (Ph.D.) in Computer Science", school = "University of California, Davis", address = "Davis, CA, USA", pages = "258", year = "1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- University of California, Davis --- computer science", } @Manual{Faghri:1990:NEA, author = "Amir Faghri and Theodore D. Swanson", title = "Numerical and experimental analysis of a thin liquid film on a rotating disk related to development of a spacecraft absorption cooling system", number = "183457", organization = pub-NASA, address = pub-NASA:adr, pages = "????", year = "1990", LCCN = "NAS 1.26:183457 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Microfiche. [Washington, DC?: National Aeronautics and Space Administration], 1990. 4 microfiches.", series = "NASA CR", acknowledgement = ack-nhfb, keywords = "closed ecological systems (space environments); liquid films --- testing", } @InProceedings{Ford:1990:NKS, author = "B. Ford and S. J. Hague and R. M. J. Iles", title = "Numerical Knowledge-Based Systems", crossref = "Houstis:1990:IMS", pages = "281--286", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Fox:1990:EJW, author = "L. Fox", title = "Epilogue. {Jim Wilkinson}: some after-dinner sentiments", crossref = "Cox:1990:RNC", pages = "329--335", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InCollection{Fox:1990:ENA, author = "L. Fox", title = "Early numerical analysis in the {United Kingdom}", crossref = "Nash:1990:HSC", pages = "280--300", year = "1990", DOI = "https://doi.org/10.1145/87252.88105", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Fox:1990:NST, author = "L. (Leslie) Fox", title = "The numerical solution of two-point boundary problems in ordinary differential equations", publisher = pub-DOVER, address = pub-DOVER:adr, pages = "xi + 371", year = "1990", ISBN = "0-486-66495-3", ISBN-13 = "978-0-486-66495-8", LCCN = "QA379 .F69 1990", MRclass = "65-01 (65L10)", MRnumber = "1088251 (92a:65005)", bibdate = "Tue May 27 08:31:06 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Reprint of the 1957 original", price = "US\$9.95", URL = "http://www.loc.gov/catdir/description/dover032/90048640.html", acknowledgement = ack-nhfb, remark = "Reprint. Originally published: Oxford: Clarendon Press, 1957. Originally published in series: Monographs on numerical analysis.", subject = "Boundary value problems; Numerical solutions", } @InProceedings{Fox:1990:UNN, author = "G. Fox and W. Furmanski and J. Koller", title = "The Use of Neural Networks in Parallel Software Systems", crossref = "Houstis:1990:IMS", pages = "51--62", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InCollection{Froberg:1990:BCC, author = "Carl-Erik Fr{\"o}berg", title = "{BIT} --- a child of the computer", crossref = "Nash:1990:HSC", pages = "228--233", year = "1990", DOI = "https://doi.org/10.1145/87252.88096", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Gallivan:1990:PAM, author = "K. A. Gallivan and Michael T. Heath and Esmond Ng and James M. Ortega and Barry W. Peyton and R. J. Plemmons and Charles H. Romine and A. H. Sameh and Robert G. Voigt", title = "Parallel Algorithms for Matrix Computations", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "ix + 197", year = "1990", ISBN = "0-89871-260-2 (paperback), 1-61197-170-5 (e-book)", ISBN-13 = "978-0-89871-260-5 (paperback), 978-1-61197-170-5 (e-book)", LCCN = "QA188 .P367 1990", bibdate = "Tue Dec 14 22:53:09 1993", bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", ZMnumber = "0711.00021", abstract = "Describes a selection of important parallel algorithms for matrix computations. Reviews the current status and provides an overall perspective of parallel algorithms for solving problems arising in the major areas of numerical linear algebra, including (1) direct solution of dense, structured, or sparse linear systems, (2) dense or structured least squares computations, (3) dense or structured eigenvalue and singular value computations, and (4) rapid elliptic solvers. The book emphasizes computational primitives whose efficient execution on parallel and vector computers is essential to obtain high performance algorithms. Consists of two comprehensive survey papers on important parallel algorithms for solving problems arising in the major areas of numerical linear algebra--direct solution of linear systems, least squares computations, eigenvalue and singular value computations, and rapid elliptic solvers, plus an extensive up-to-date bibliography (2,000 items) on related research.", acknowledgement = ack-nhfb, tableofcontents = "Parallel algorithms for dense linear algebra computations / K. A. Gallivan, R. J. Plemmons, and A. H. Sameh (Reprinted from SIAM Review, March 1990, 82 pp.) / 1 \\ Parallel algorithms for sparse linear systems / M. T. Heath, E. G. Y. Ng, and B. W. Peyton / 83 \\ A bibliography on parallel and vector numerical algorithms / J. M. Ortega, R. G. Voigt, and C. H. Romine / 125", } @InCollection{Gear:1990:DOM, author = "C. W. Gear and R. D. Skeel", title = "The development of {ODE} methods: a symbiosis between hardware and numerical analysis", crossref = "Nash:1990:HSC", pages = "88--105", year = "1990", DOI = "https://doi.org/10.1145/87252.88074", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Geers:1990:SLA, author = "N. Geers", title = "Subroutine Libraries at the {University of Karlsruhe Computing Center}", crossref = "Houstis:1990:IMS", pages = "215--226", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Gilewicz:1990:ESC, author = "J. Gilewicz and M. Griffiths and A. Mortada", title = "An Expert System for the Choice and Parameterization of Algorithms for {Pad{\'e}} Approximation", crossref = "Houstis:1990:IMS", pages = "161--166", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Gill:1990:SCM, author = "Philip E. Gill and Walter Murray and Michael A. Saunders and Margaret H. Wright", title = "A {Schur}-complement method for sparse quadratic programming", crossref = "Cox:1990:RNC", pages = "113--138", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Gladwell:1990:ACS, author = "I. Gladwell and M. Lucks", title = "An Automated Consultation System for the Selection of Mathematical Software", crossref = "Houstis:1990:IMS", pages = "179--186", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InCollection{Goldstine:1990:RTP, author = "Herman H. Goldstine", title = "Remembrance of things past", crossref = "Nash:1990:HSC", pages = "5--16", year = "1990", DOI = "https://doi.org/10.1145/87252.88059", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Golub:1990:PRJ, author = "Gene Golub", title = "Prologue. Reflections on {Jim Wilkinson}", crossref = "Cox:1990:RNC", pages = "1--5", year = "1990", MRclass = "01A70", MRnumber = "92b:01057a", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Grandine:1990:NMP, author = "Thomas A. Grandine", title = "The Numerical Methods Programming Projects Book", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "viii + 146", year = "1990", ISBN = "0-19-853385-3 (hardcover), 0-19-853387-X (paperback)", ISBN-13 = "978-0-19-853385-6 (hardcover), 978-0-19-853387-0 (paperback)", LCCN = "QA76.6 .G718 1990", bibdate = "Tue Dec 14 22:54:20 1993", bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/texbook2.bib", ZMnumber = "0687.65002", acknowledgement = ack-nhfb, shorttableofcontents = "Introduction \\ 1. The Set Up \\ 2. Project 1 Through Project 22 \\ 3. Documentation \\ 4. CO5ADF \\ 5. DO1AJF \\ 6. DO2HBF \\ 7. EO2BAF \\ 8. EO2BCF \\ 9. EO2BDF \\ 10. EO4VDF \\ 11. FO1BTF \\ 12. FO2WAF \\ 13. FO4AYF \\ 14. FO4JGF", tableofcontents = "Introduction / 1 \\ The setup / 6 \\ Project 1 / 8 \\ Project 2 / 10 \\ Project 3 / 12 \\ Project 4 / 14 \\ Project 5 / 16 \\ Project 6 / 18 \\ Project 7 / 20 \\ Project 8 / 22 \\ Project 9 / 25 \\ Project 10 / 27 \\ Project 11 / 30 \\ Project 12 / 32 \\ Project 13 / 36 \\ Project 14 / 38 \\ Project 15 / 40 \\ Project 16 / 42 \\ Project 17 / 44 \\ Project 18 / 46 \\ Project 19 / 48 \\ Project 20 / 51 \\ Project 21 / 53 \\ Project 22 / 56 \\ Documentation / 59 \\ C0SADF / 60 \\ D01AJF / 63 \\ D02BBF / 67 \\ D02HBF / 73 \\ E02BAF / 82 \\ E02BCF / 88 \\ E02BDF / 92 \\ E04VDF / 95 \\ F01BTF / 106 \\ F02WAF / 109 \\ F04AYF / 113 \\ F04JGF / 116 \\ Answers to exercises / 121 \\ NAG Graphical Library examples / 135 Index / 144", } @Book{Griffiths:1990:NAP, author = "D. F. Griffiths and G. A. Watson", title = "Numerical analysis 1989: proceedings of the 13th Dundee Conference, June 1989", volume = "228", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "283", year = "1990", ISBN = "0-470-21586-0", ISBN-13 = "978-0-470-21586-9", ISSN = "0269-3674", LCCN = "QA297.D85 1989", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Pitman research notes in mathematics", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @InProceedings{Gropp:1990:CPL, author = "W. Gropp", title = "{CLAM}: a Programming Language Incorporating Expert Use of Linear Solution Algorithms", crossref = "Houstis:1990:IMS", pages = "319--330", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @Manual{Gruber:1990:INS, author = "Arnold Gruber and Tsung-hao Wang", title = "The impact of {NOAA} satellite soundings on the numerical analysis and forecast system of the {People's Republic of China}", number = "51", organization = "U.S. Dept. of Commerce", address = "National Oceanic and Atmospheric Administration, National Environmental Satellite, Data, and Information Service", pages = "ix + 30 + [41] + 25 + [26]", month = may, year = "1990", LCCN = "M'fiche QC879.5 .N62 no.51, 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Contents: pt. I. FGGE data --- pt. II. December 1987", series = "NOAA technical report NESDIS", acknowledgement = ack-nhfb, keywords = "numerical weather forecasting --- china; satellite meteorology", } @InCollection{Gutknecht:1990:PDS, author = "Martin H. Gutknecht", title = "The pioneer days of scientific computing in {Switzerland}", crossref = "Nash:1990:HSC", pages = "301--313", year = "1990", DOI = "https://doi.org/10.1145/87252.88106", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Manual{Hagstrom:1990:AAD, author = "Thomas Hagstrom", title = "Asymptotic analysis of dissipative waves with applications to their numerical simulation", number = "ICOMP-90-19, 103231", organization = pub-NTIS, address = pub-NTIS:adr, pages = "13", month = aug, year = "1990", LCCN = "NAS 1.15:103231 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "NASA technical memorandum", acknowledgement = ack-nhfb, keywords = "asymptotic series; dissipation; flame propagation; flames; numerical analysis; walls; wave equations; wave mechanics --- mathematical models; wave propagation", } @InProceedings{Hake:1990:PSD, author = "J.-F. Hake and W. Homberg", title = "{PDE} Software for Distributed Computing", crossref = "Houstis:1990:IMS", pages = "207--214", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @Book{Hall:1990:NAP, author = "Charles A. Hall and Thomas A. Porsching", title = "Numerical analysis of partial differential equations", publisher = pub-PH, address = pub-PH:adr, pages = "xv + 319", year = "1990", ISBN = "0-13-626557-X", ISBN-13 = "978-0-13-626557-3", LCCN = "QA374 .H29 1990", MRclass = "65-01 (65Mxx 65Nxx 73Vxx 76Mxx)", MRnumber = "1124846 (92h:65002)", MRreviewer = "Chris Arney", bibdate = "Tue May 27 08:31:06 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, author-dates = "1941--", keywords = "differential equations, partial --- numerical solutions", subject = "Differential equations, Partial; Numerical solutions", } @InProceedings{Hawla:1990:KAE, author = "D. L. Hawla and N. Neishlos", title = "Knowledge Acquisition and Efficient Use of Engineering Software and Finite Element Example", crossref = "Houstis:1990:IMS", pages = "287--300", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InCollection{Hestenes:1990:CG, author = "Magnus R. Hestenes", title = "Conjugacy and gradients", crossref = "Nash:1990:HSC", pages = "167--179", year = "1990", DOI = "https://doi.org/10.1145/87252.88084", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Hiebert-Dodd:1990:AET, author = "K. L. Hiebert-Dodd", title = "Assisting Experts in Their Data Analysis Tasks --- An {AI} Approach", crossref = "Houstis:1990:IMS", pages = "197--206", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Higham:1990:ACD, author = "Nicholas J. Higham", title = "Analysis of the {Cholesky} Decomposition of a Semi-definite Matrix", crossref = "Cox:1990:RNC", pages = "161--185", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/tex/bib/gvl.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb # " and " # ack-njh, } @Book{Horn:1990:MA, author = "Roger A. Horn and Charles R. Johnson", title = "Matrix analysis", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xiii + 561", year = "1990", ISBN = "0-521-30586-1, 0-521-38632-2 (paperback)", ISBN-13 = "978-0-521-30586-0, 978-0-521-38632-6 (paperback)", LCCN = "QA188 .H66 1990", bibdate = "Sun Jun 19 12:48:29 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; melvyl.cdlib.org:210/CDL90", acknowledgement = ack-nhfb, subject = "Matrices", } @InProceedings{Houstis:1990:AMS, author = "C. E. Houstis and E. N. Houstis and J. R. Rice and S. M. Samartzis", title = "The Algorithm Mapper: a System for Modeling and Evaluating Parallel Applications\slash Architecture Pairs", crossref = "Houstis:1990:IMS", pages = "87--102", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Houstis:1990:LPE, author = "E. N. Houstis and M. Kantzouraki and Papatheodorou and T. S. and V. Sotiropoulou", title = "Logic Parallelism in an Expert System for Solving Partial Differential Equations", crossref = "Houstis:1990:IMS", pages = "111--132", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Houstis:1990:PIE, author = "E. N. Houstis and J. R. Rice and T. S. Papatheodorou", title = "Parallel ({II}) {Ellpack}: An Expert System for Parallel Processing of Partial Differential Equations", crossref = "Houstis:1990:IMS", pages = "63--74", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InCollection{Isaacson:1990:OMC, author = "Eugene Isaacson", title = "The origin of mathematics of computation and some personal recollections", crossref = "Nash:1990:HSC", pages = "211--216", year = "1990", DOI = "https://doi.org/10.1145/87252.88093", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Jacobs:1990:ESS, author = "D. (David) A. H. Jacobs and G. Markham", title = "Experiences with some software engineering practices in numerical software", crossref = "Cox:1990:RNC", pages = "277--296", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Joly:1990:MOM, author = "Pascal Joly", title = "Mise en {\oe}uvre de la m{\'e}thode des {\'e}l{\'e}ments finis. ({French}) [{Implementation} of the finite-element method]", volume = "2", publisher = "Ellipses", address = "Paris, France", pages = "157", year = "1990", MRclass = "65-01 (76M10 76S05 76T99)", MRnumber = "1623429 (2000b:65001)", MRreviewer = "Peter Knabner", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Math{\'e}matiques \& Applications (Paris) [Mathematics and Applications]", acknowledgement = ack-nhfb, language = "French", } @Book{Karchevskii:1990:MVC, author = "M. M. Karchevski{\u\i} and A. D. Lyashko and M. F. Pavlova", title = "Metody vychislenii: chislennye metody resheniya differentsialnykh uravnenii. ({Russian}) [{Computational} methods: numerical methods for solutions of differential equations]", publisher = "Kazanski{\u\i} Gosudarstvenny{\u\i} Universitet", address = "Kazan\cprime, Tatarstan", pages = "127", year = "1990", ISBN = "5-7464-0319-9", ISBN-13 = "978-5-7464-0319-3", MRclass = "65-01 (65Lxx 65Mxx 65Nxx)", MRnumber = "1163191 (93a:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Russian", } @InProceedings{King:1990:KFC, author = "D. King and T. Mullen and B. Rice and P. Topping", title = "Knowledge-Based {FFT} and Convolution Synthesis for Any Number of Points", crossref = "Houstis:1990:IMS", pages = "143--154", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InProceedings{Konno:1990:IVD, author = "C. Konno and Y. Umetani and M. Igai and T. Ohta", title = "Interactive\slash Visual {DEQSOL}: Interactive Creation, Debugging, Diagnosis and Visualization of Numerical Simulation", crossref = "Houstis:1990:IMS", pages = "301--318", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InCollection{Kublanovskaya:1990:CLM, author = "V. N. Kublanovskaya", title = "The contribution of {Leningrad} mathematicians to the development of numerical linear algebra, 1950--1986", crossref = "Nash:1990:HSC", pages = "329--338", year = "1990", DOI = "https://doi.org/10.1145/87252.88108", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Manual{Laigna:1990:MMP, author = "K. J. Laigna and E. L. Potashnik", title = "Mathematical model for predicting the atmospheric pollution state in the areas of local and regional scale", organization = "Estonian Scientific Research Institute of Scientific-Technical Information and Technical-Economic Research", address = "Tallinn, U.S.S.R.", pages = "342", year = "1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Contents: Ch. 1. The present state of research concerning the problem of how to protect the surrounding environment from pollution for atmospheric and water natural-household objects on local and regional scale. --- Ch. 2. Mathematical formulation of a spatial numerical model about the regional pollution transference. --- Ch. 3. Methods for the model's numerical realization.-- Ch. 4. Prognosis model as to the atmospheric pollution state in Estonia and its north-eastern region --- Ch. 5. Appendices.", acknowledgement = ack-nhfb, keywords = "mathematical models", } @InProceedings{Lawson:1990:LAP, author = "Charles L. Lawson and Kajal K. Gupta", title = "The {Lanczos} Algorithm for a Pure Imaginary {Hermitian} Matrix", crossref = "Cox:1990:RNC", pages = "25--34", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{LeTallec:1990:NAV, author = "Patrick Le Tallec", title = "Numerical analysis of viscoelastic problems", volume = "15", publisher = pub-SV, address = pub-SV:adr, pages = "136", year = "1990", ISBN = "2-225-82093-7 (Mason), 3-540-52450-9 (Springer-Verlag), 0-387-52450-9 (Springer-Verlag)", ISBN-13 = "978-2-225-82093-9 (Mason), 978-3-540-52450-2 (Springer-Verlag), 978-0-387-52450-4 (Springer-Verlag)", ISSN = "0298-3168", LCCN = "QA931 .L44 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Recherches en math{\'e}matiques appliqu{\'e}es", acknowledgement = ack-nhfb, keywords = "numerical analysis; viscoelasticity", } @Book{LeVeque:1990:NMC, author = "Randall J. LeVeque", title = "Numerical methods for conservation laws", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "214", year = "1990", ISBN = "3-7643-2464-3, 0-8176-2464-3 (U.S.)", ISBN-13 = "978-3-7643-2464-3, 978-0-8176-2464-4 (U.S.)", LCCN = "QA377 .L4157 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lectures in mathematics ETH Zurich", acknowledgement = ack-nhfb, keywords = "conservation laws (mathematics); differential equations, hyperbolic --- numerical solutions; shock waves", } @Book{Li:1990:NME, author = "Zi-Cai Li", title = "Numerical methods for elliptic problems with singularities: boundary methods and nonconforming combinations", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "xv + 258", year = "1990", ISBN = "981-02-0292-X", ISBN-13 = "978-981-02-0292-7", LCCN = "QA377 .L49 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "differential equations, elliptic --- numerical solutions; singularities (mathematics)", } @PhdThesis{Liu:1990:HNM, author = "Jian-Guo Liu", title = "Homogenization and numerical methods for hyperbolic equations", type = "Thesis (Ph.D.)", school = "University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "ix + 97", year = "1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCLA --- mathematics", } @Book{Bevilacqua:1992:MN, author = "Roberto Bevilacqua and D. Bini and M. Capovani and O. Menchi", title = "Metodi numerici. ({Italian}) [{Numerical} methods]", publisher = "Zanichelli", address = "Bologna, Italy", pages = "x + 862", year = "1992", ISBN = "88-08-14510-7", ISBN-13 = "978-88-08-14510-9", LCCN = "????", bibdate = "Mon Oct 21 17:53:55 MDT 2019", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, subject = "Analisi numerica; Metodi", } @Book{Klatte:1992:PXP, author = "Rudi Klatte and Ulrich Kulisch and Michael Neaga and Dietmar Ratz and Christian Ullrich", title = "{PASCAL-XSC}: language reference with examples", publisher = pub-SV, address = pub-SV:adr, pages = "x + 344", year = "1992", DOI = "https://doi.org/10.1007/978-3-642-77277-1", ISBN = "3-540-55137-9 (Berlin), 0-387-55137-9 (New York)", ISBN-13 = "978-3-540-55137-9 (Berlin), 978-0-387-55137-1 (New York)", LCCN = "QA76.73.P2 P4213 1992", bibdate = "Thu Jan 21 17:16:51 MST 2016", bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Translated by G. F. Corliss and others.", price = "DM 64.00", abstract = "The programming language PASCAL-XSC (PASCAL eXtension for Scientific Computation) significantly simplifies programming in the area of scientific and technical computing. PASCAL-XSC provides a large number of predefined data types with arithmetic operators and predefined functions of highest accuracy for real and complex numbers, for real and complex intervals, and for the corresponding vectors and matrices. Thus PASCAL-XSC makes the computer more powerful concerning the arithmetic. Through an implementation in C, compilers for PASCAL-XSC are available for a large variety of computers such as personal computers, workstations, mainframes, and supercomputers. PASCAL-XSC provides a module concept, an operator concept, functions and operators with general result type, overloading of functions, procedures, and operators, dynamic arrays, access to subarrays, rounding control by the user, and accurate evaluation of expressions. The language is particularly suited for the development of numerical algorithms that deliver highly accurate and automatically verified results. A number of problem-solving routines with automatic result verification have already been implemented. PASCAL-XSC contains Standard PASCAL. It is immediately usable by PASCAL programmers. PASCAL-XSC is easy to learn and ideal for programming education. The book can be used as a textbook for lectures on computer programming. It contains a major chapter with sample programs, exercises, and solutions. A complete set of syntax diagrams, detailed tables, and indices complete the book.", acknowledgement = ack-nhfb, language = "English.", remark = "Translation of: PASCAL-XSC.", subject = "Pascal (Computer program language)", tableofcontents = "1 Introduction \\ 1.1 Typography \\ 1.2 Historical Remarks and Motivation \\ 1.3 Advanced Computer Arithmetic \\ 1.4 Connection with Programming Languages \\ 1.5 Survey of PASCAL-XSC \\ 2 Language Reference \\ 2.1 Basic Symbols \\ 2.2 Identifiers \\ 2.3 Constants, Types, and Variables \\ 2.4 Expressions \\ 2.5 Statements \\ 2.6 Program Structure \\ 2.7 Subroutines \\ 2.8 Modules \\ 2.9 String Handling and Text Processing \\ 2.10 How to Use Dynamic Arrays \\ 3 The Arithmetic Modules \\ 3.1 The Module C\_ARI \\ 3.2 The Module I\_ARI \\ 3.3 The Module CI\_ARI \\ 3.4 The Module MV\_ARI \\ 3.5 The Module MVC\_ARI \\ 3.6 The Module MVI\_ARI \\ 3.7 The Module MVCI\_ARI \\ 3.8 The Hierarchy of the Arithmetic Modules \\ 3.9 A Complete Sample Program \\ 4 Problem-Solving Routines \\ 5 Exercises with Solutions \\ 5.1 Test of Representability \\ 5.2 Summation of Exponential Series \\ 5.3 Influence of Rounding Errors \\ 5.4 Scalar Product \\ 5.5 Boothroyd/Dekker Matrices \\ 5.6 Complex Functions \\ 5.7 Surface Area of a Parallelepiped \\ 5.8 Parallelism and Intersection of Lines \\ 5.9 Transposed Matrix, Symmetry \\ 5.10 Rail Route Map \\ 5.11 Inventory Lists \\ 5.12 Complex Numbers and Polar Representation \\ 5.13 Complex Division \\ 5.14 Electric Circuit \\ 5.15 Alternating Current Measuring Bridge \\ 5.16 Optical Lens \\ 5.17 Interval Evaluation of a Polynomial \\ 5.18 Calculations for Interval Matrices \\ 5.19 Differentiation Arithmetic \\ 5.20 Newton's Method with Automatic Differentiation \\ 5.21 Measurement of Time \\ 5.22 Iterative Method \\ 5.23 Trace of a Product Matrix \\ 5.24 Calculator for Polynomials \\ 5.25 Interval Newton Method \\ 5.26 Runge-Kutta Method \\ 5.27 Rational Arithmetic \\ 5.28 Evaluation of Polynomials \\ A Syntax Diagrams \\ B Indices and Lists \\ B.1 Syntax Diagrams \\ B.2 Reserved Words \\ B.3 Predefined Identifiers \\ B.4 Operators \\ B.4.1 Basic Operators \\ B.4.2 Arithmetic Operators \\ B.4.3 Relational Operators for the Arithmetic Types \\ B.4.4 Assignment Operators \\ B.5 Predefined Functions \\ B.6 Transfer Functions \\ B.7 Predefined Procedures \\ B.8 \#-Expressions \\ B.8.1 Real and Complex \#-Expressions \\ B.8.2 Real and Complex Interval \#-Expressions \\ Bibliography \\ Index", } @Book{Lorentz:1992:MBI, author = "Rudolph A. Lorentz", title = "Multivariate {Birkhoff} Interpolation", volume = "1516", publisher = pub-SV, address = pub-SV:adr, pages = "x + 192", year = "1992", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0088788", ISBN = "3-540-55870-5 (print), 3-540-47300-9 (e-book)", ISBN-13 = "978-3-540-55870-5 (print), 978-3-540-47300-8 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L28 no. 1516", MRclass = "41A05 (41-02 41A63 65D05 65N30)", MRnumber = "1222648 (94h:41001)", MRreviewer = "Petru P. Blaga", bibdate = "Tue May 6 14:55:12 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/lnm1990.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = ser-LECT-NOTES-MATH, URL = "http://link.springer.com/book/10.1007/BFb0088788; http://www.springerlink.com/content/978-3-540-47300-8", acknowledgement = ack-nhfb, series-URL = "http://link.springer.com/bookseries/304", } @Manual{Lum:1990:GNM, author = "W. E. Lum and James L. Smoot and Dale R. Ralston", title = "Geohydrology and numerical model analysis of ground-water flow in the {Pullman-Moscow} area, Washington and Idaho", organization = "Books and Open-File Reports Section [distributor]", address = "Denver, Colo.", pages = "vi + 73", year = "1990", LCCN = "I 19.42/4:89-4103 Government Information U.S.", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 90-189-P.", acknowledgement = ack-nhfb, keywords = "formations (geology) --- northwestern states; groundwater -- Washington (State) --- Pullman; groundwater --- Idaho --- Moscow; groundwater flow -- Idaho --- Moscow; groundwater flow --- Washington (State) --- Pullman; numerical analysis", } @InProceedings{Macedo:1990:KSD, author = "C. G. Macedo and J. C. Diaz and R. E. Ewing", title = "A Knowledge-Based System for the Determination of Activity Indicators for Self-Adaptive Grid Methods", crossref = "Houstis:1990:IMS", pages = "133--142", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @Book{Maron:1990:NAP, author = "Melvin J. Maron and Robert J. Lopez", title = "Numerical analysis: a practical approach", publisher = pub-WADSWORTH, address = pub-WADSWORTH:adr, edition = "Third", pages = "xxi + 743", year = "1990", ISBN = "0-534-12372-4", ISBN-13 = "978-0-534-12372-7", LCCN = "QA297 .M344 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Manual{McVay:1990:DDP, author = "M. C. McVay", title = "Development of design procedures for estimating capacity and deformation of pile groups Volume 2, {Numerical} analysis of vertically loaded pile groups", number = "FL/DOT/MO-88/326", organization = "Dept. of Civil Engineering, University of Florida", address = "Gainesville, FL, USA", pages = "vi + 154", year = "1990", LCCN = "PB90- 145632 Microfiche", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Final report. Microfiche. Springfield, Va.: National Technical Information Service, 1990. 2 microfiches: negative ; 11 x 15 cm. Prepared for the Florida Dept. of Transportation, Bureau of Materials and Research in cooperation with the Federal Highway Administration under grant no. HPR-86-29.", acknowledgement = ack-nhfb, keywords = "piling (civil engineering); soil penetration test; soils --- testing", } @InCollection{Metropolis:1990:AE, author = "N. Metropolis", title = "The {Los Alamos} experience, 1943--1954", crossref = "Nash:1990:HSC", pages = "237--250", year = "1990", DOI = "https://doi.org/10.1145/87252.88099", MRclass = "01A60", MRnumber = "MR1203109", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Moore:1990:TAN, author = "P. K. Moore and C. Ozturan and J. E. Flaherty", title = "Towards the Automatic Numerical Solution of Partial Differential Equations", crossref = "Houstis:1990:IMS", pages = "15--22", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @Book{Morton:1990:TIC, author = "K. W. Morton", title = "Twelfth International Conference on Numerical Methods in Fluid Dynamics: proceedings of the conference held at the University of Oxford, England on 9--13 July 1990", volume = "371", publisher = pub-SV, address = pub-SV:adr, pages = "xiv + 562", year = "1990", ISBN = "0-387-53619-1 (U.S.)", ISBN-13 = "978-0-387-53619-4 (U.S.)", LCCN = "QA911 .I58 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lecture notes in physics", acknowledgement = ack-nhfb, keywords = "fluid dynamics --- congresses; numerical analysis -- congresses", } @Book{Nash:1990:CNM, author = "John C. Nash", title = "Compact numerical methods for computers: linear algebra and function minimisation", publisher = pub-HILGER, address = pub-HILGER:adr, edition = "Second", pages = "xii + 278", year = "1990", ISBN = "0-85274-318-1 (case), 0-85274-319-X (paperback)", ISBN-13 = "978-0-85274-318-8 (case), 978-0-85274-319-5 (paperback)", LCCN = "QA184 .N37 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "algebras, linear --- data processing; functions --- data processing; maxima and minima --- data processing; numerical analysis --- data processing", } @InProceedings{Noda:1990:ASP, author = "M.-T. Noda and S. Asagawa", title = "Algorithm Selection Problem in the Hybrid Computation", crossref = "Houstis:1990:IMS", pages = "155--160", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @InCollection{Oden:1990:HCF, author = "J. Tinsley Oden", title = "Historical comments on finite elements", crossref = "Nash:1990:HSC", pages = "152--166", year = "1990", DOI = "https://doi.org/10.1145/87252.88083", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Olver:1990:REA, author = "F. (Frank) W. J. Olver", title = "Rounding errors in algebraic processes --- in level-index arithmetic", crossref = "Cox:1990:RNC", pages = "197--205", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Ortega:1990:NA, author = "James M. Ortega", title = "Numerical analysis", volume = "3", publisher = pub-SIAM, address = pub-SIAM:adr, edition = "Second", pages = "xiv + 201", year = "1990", DOI = "https://doi.org/10.1137/1.9781611971323", ISBN = "0-89871-250-5", ISBN-13 = "978-0-89871-250-6", MRclass = "65-01 (65Gxx)", MRnumber = "1037261 (90k:65005)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "A second course", series = "Classics in Applied Mathematics", acknowledgement = ack-nhfb, } @Book{Ortega:1990:NAS, author = "James M. Ortega", title = "Numerical analysis: a second course", volume = "3", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xiii + 201", year = "1990", ISBN = "0-89871-250-5", ISBN-13 = "978-0-89871-250-6", LCCN = "QA297 .O78 1990", bibdate = "Tue May 27 08:31:10 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Classics in applied mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0708/89048562-d.html; http://www.loc.gov/catdir/enhancements/fy0708/89048562-t.html", acknowledgement = ack-nhfb, author-dates = "1932--", keywords = "numerical analysis", subject = "Numerical analysis", } @InProceedings{Paige:1990:SAG, author = "Chris Paige", title = "Some aspects of generalized {$ Q R $} factorizations", crossref = "Cox:1990:RNC", pages = "73--91", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Pandey:1990:NMR, author = "G. N. Pandey and G. Beer and J. R. Williams", title = "Numerical methods in rock mechanics", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "ix + 327 + [4]", year = "1990", ISBN = "0-471-92021-5", ISBN-13 = "978-0-471-92021-2", LCCN = "TA706 .P34 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$64.40", acknowledgement = ack-nhfb, keywords = "numerical analysis; rock mechanics --- mathematics", } @InCollection{Parlett:1990:CJH, author = "B. N. Parlett", title = "The contribution of {J. H. Wilkinson} to numerical analysis", crossref = "Nash:1990:HSC", pages = "17--30", year = "1990", DOI = "https://doi.org/10.1145/87252.88062", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Parlett:1990:MLA, author = "Beresford N. Parlett", title = "Misconvergence in the {Lanczos} Algorithm", crossref = "Cox:1990:RNC", pages = "7--24", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InCollection{Peaceman:1990:PRR, author = "Donald W. Peaceman", title = "A personal retrospection of reservoir simulation", crossref = "Nash:1990:HSC", pages = "106--129", year = "1990", DOI = "https://doi.org/10.1145/87252.88076", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Peskin:1990:SNG, author = "R. L. Peskin and S. S. Walther and A. M. Froncioni", title = "{Smalltalk} --- The Next Generation Scientific Computing Interface?", crossref = "Houstis:1990:IMS", pages = "257--268", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @Book{Prossdorf:1990:SAO, author = "Siegfried Prossdorf and Bernd Silbermann", title = "Seminar analysis: operator equations and numerical analysis, 1989\slash 90", publisher = "Karl-Weierstrass-Institut f{\"u}r Mathematik", address = "Berlin", pages = "102", year = "1990", LCCN = "QA329 .S47 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "English and German.", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses; operator equations --- congresses", } @InProceedings{Reinsch:1990:SSP, author = "Christian H. Reinsch", title = "Software for shape preserving spline interpolation", crossref = "Cox:1990:RNC", pages = "267--276", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, author-dates = "Christian H. Reinsch (?? ?? 1932--8 October 2022)", } @InCollection{Rice:1990:MSA, author = "John R. Rice", title = "Mathematical software and {ACM} publications", crossref = "Nash:1990:HSC", pages = "217--227", year = "1990", DOI = "https://doi.org/10.1145/87252.88095", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @TechReport{Rodriguez-Roa:1990:ANP, author = "Fernando Rodriguez-Roa and Guillermo Noguera Larrain and Juan L. Osorio Aguayo", title = "Analisis numerico de presas de tierra", number = "90-7", institution = "Departamento de Ingenieria Estructural, Pontificia Universidad Catolica de Chile", address = "??, Chile", pages = "211", month = jul, year = "1990", LCCN = "500 P65 90--7", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proyectos de investigacion DIUC no. 7/86 FONDECYT no. 88/0267.", series = "DIE", acknowledgement = ack-nhfb, keywords = "earth dams --- mathematical models; finite element method --- computer programs; Melado Dam (Chile)", } @PhdThesis{Rosenberg:1990:NMF, author = "Joseph Robert Rosenberg", title = "Numerical methods for fluids with hyperbolic constitutive equations", type = "Thesis (Ph.D.) in Chemical Engineering", school = "Dept. of Chemical Engineering, University of California, Berkeley", address = "Berkeley, CA, USA", pages = "vi + 180", month = may, year = "1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCB --- chemical engineering --- 1981--1990", } @Book{Rutishauser:1990:LNM, editor = "Heinz Rutishauser and Martin Gutknecht", title = "Lectures on numerical mathematics", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "xv + 546", year = "1990", DOI = "https://doi.org/10.1007/978-1-4612-3468-5", ISBN = "0-8176-3491-6", ISBN-13 = "978-0-8176-3491-9", LCCN = "QA297 .R8713 1990", MRclass = "65-01", MRnumber = "1102678 (92b:65002)", bibdate = "Tue May 27 08:31:10 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Edited by Martin Gutknecht with the assistance of Peter Henrici, Peter L{\"a}uchli and Hans-Rudolf Schwarz, With a foreword by Gutknecht and a preface by Henrici, L{\"a}uchli and Schwarz, Translated from the German and with a preface by Walter Gautschi", acknowledgement = ack-nhfb, author-dates = "1918--1970", remark = "Translation of: Vorlesungen {\"u}ber numerische Mathematik.", subject = "Numerical analysis", } @Book{Scheid:1990:SPN, author = "Francis J. Scheid", title = "2000 solved problems in numerical analysis", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "iv + 698", year = "1990", ISBN = "0-07-055233-9", ISBN-13 = "978-0-07-055233-3", LCCN = "QA297.3 .S34 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Schaum's solved problems series", acknowledgement = ack-nhfb, keywords = "numerical analysis --- problems, exercises, etc", } @InProceedings{Schoenauer:1990:CDU, author = "W. Schoenauer and A. Schreiner and J. Ecke-Schueth", title = "A Critical Discussion of the User Interface of a {PDE} Solver in the Context of Numerical Expert Systems", crossref = "Houstis:1990:IMS", pages = "353--360", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @Manual{Shu:1990:NMS, author = "Chi-Wang Shu", title = "Numerical methods for systems of conservation laws of mixed type using flux splitting", number = "182084", organization = "Institute for Computer Applications in Science and Engineering, NASA Langley Research Center", address = "Hampton, VA, USA", pages = "????", year = "1990", LCCN = "NAS 1.26:182084 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 92-0600-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration], 1990. 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "conservation laws (mathematics); finite differences", } @InProceedings{Stewart:1990:IMS, author = "G. W. (Pete) Stewart", title = "An iterative method for solving linear inequalities", crossref = "Cox:1990:RNC", pages = "241--247", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Stewart:1990:MPT, author = "Gilbert Wright (Gilbert W.) Stewart and {Ji-guang} Sun", title = "Matrix Perturbation Theory", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xv + 365", year = "1990", ISBN = "0-12-670230-6 (hardcover)", ISBN-13 = "978-0-12-670230-9 (hardcover)", LCCN = "QA871 .S775 1990", bibdate = "Thu May 29 07:15:52 MDT 2014", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Computer science and scientific computing", URL = "http://www.loc.gov/catdir/description/els032/90033378.htm; http://www.loc.gov/catdir/description/els032/90033378.html; http://www.loc.gov/catdir/toc/els031/90033378.htm; http://www.loc.gov/catdir/toc/els031/90033378.html", acknowledgement = ack-nhfb, GWS-number = "B3", subject = "Perturbation (Mathematics); Matrices", tableofcontents = "I. Preliminaries \\ 1. Notation \\ 2. The $QR$ decomposition \\ projections \\ 3. Eigenvalues and eigenvectors \\ 4. The singular value decomposition \\ II. Norms and metrics \\ 1. Vector norms \\ 2. Matrix norms \\ 3. Unitarily invariant norms \\ 4. Metrics on subspaces of C'n' \\ III. Linear systems and least squares problems \\ 1. The pseudo-inverse and least squares \\ 2. Inverses and linear systems \\ 3. The pseudo-inverse \\ 4. Projections \\ 5. The Linear least squares problem \\ IV. The perturbation of Eigenvalues \\ 1. General perturbation theorems \\ 2. Gerschgorin theory: differentiability \\ 3. Normal and diagonalizable matrices \\ 4. Hermitian matrices \\ 5. Some further results \\ V. Invariant subspaces \\ 1. The theory of simple invariant subspaces \\ 2. Perturbation of invariant subspaces \\ 3. Hermitian matrices \\ 4. The singular value decomposition \\ VI. Generalized Eigenvalue problems \\ 1. Background \\ 2. Regular matrix pairs \\ 3. Definite matrix pairs \\ References \\ Notation \\ Index", } @Book{Stoer:1990:NM, author = "Josef Stoer and Roland Bulirsch", title = "{Numerische Mathematik}. 2. ({German}) [{Numerical} mathematics. 2]", publisher = pub-SV, address = pub-SV:adr, edition = "Third", pages = "xiv + 341", year = "1990", ISBN = "3-540-51482-1", ISBN-13 = "978-3-540-51482-4", MRclass = "65-01", MRnumber = "1100482 (92a:65009)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Eine Einf{\"u}hrung---unter Ber{\"u}cksichtigung von Vorlesungen von F. L. Bauer. [An introduction, with reference to lectures by F. L. Bauer]", series = "Springer-Lehrbuch. [Springer Textbook]", acknowledgement = ack-nhfb, language = "German", } @InProceedings{Terrano:1990:APP, author = "A. E. Terrano and J. E. Peters and S. M. Dunn", title = "Automatic Partitioning of {PDE} Solvers for Parallel Computers", crossref = "Houstis:1990:IMS", pages = "75--86", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @Manual{Thomas:1990:NCS, author = "William A. Thomas", title = "{Nonconnah Creek} sedimentation study: Analysis using a numerical modeling approach", number = "HL-90-1", organization = pub-NTIS, address = pub-NTIS:adr, pages = "63", month = jan, year = "1990", LCCN = "G200 Y-19 no.HL- 90--1", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Miscellaneous paper", acknowledgement = ack-nhfb, keywords = "bed load --- measurement; Nonconnah Creek (Tenn.); sediment transport --- Tennessee --- Nonconnah Creek; stream measurements --- Tennessee --- Nonconnah Creek", } @Book{Tikhonov:1990:CMR, author = "A. N. Tikhonov", title = "Chislennye metody resheniia nekorrektnykh zadach", publisher = "Nauka (Glav. red. fiziko-matematicheskoi lit-ry)", address = "Moscow, USSR", pages = "229", year = "1990", ISBN = "5-02-014135-6", ISBN-13 = "978-5-02-014135-3", LCCN = "QA377 .C48 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Nauchnoe izdanie. Title on p. 228: Numerical methods for the solution of ill-posed problems. Summary and table of contents also in English.", price = "2.40rub", acknowledgement = ack-nhfb, keywords = "numerical analysis --- improperly posed problems", } @InCollection{Todd:1990:PEH, author = "John Todd", title = "The prehistory and early history of computation at the {U.S. National Bureau of Standards}", crossref = "Nash:1990:HSC", pages = "251--268", year = "1990", DOI = "https://doi.org/10.1145/87252.88103", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Tong:1990:CSM, author = "Sin Shing Tong", title = "Coupling Symbolic Manipulation and Numerical Simulation for Complex Engineering Designs", crossref = "Houstis:1990:IMS", pages = "241--256", year = "1990", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "expert systems; IFAC; IMACS; intelligent mathematical software systems; numerical computing", } @Book{Turner:1990:GNA, author = "P. R. (Peter R.) Turner", title = "Guide to numerical analysis", publisher = pub-CRC, address = pub-CRC:adr, pages = "x + 208", year = "1990", ISBN = "0-8493-7701-3", ISBN-13 = "978-0-8493-7701-3", LCCN = "QA297 .T87 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "CRC mathematical guides", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @InProceedings{Varah:1990:CPE, author = "James M. Varah", title = "On the conditioning of parameter estimation problems", crossref = "Cox:1990:RNC", pages = "187--195", year = "1990", bibdate = "Tue Nov 2 19:30:33 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InCollection{Varah:1990:IGF, author = "James M. Varah", title = "The influence of {George Forsythe} and his students", crossref = "Nash:1990:HSC", pages = "31--40", year = "1990", DOI = "https://doi.org/10.1145/87252.88064", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, mynote = "Gives tree of Forsythe's Ph.D. students", } @InCollection{Varga:1990:RUM, author = "Richard S. Varga", title = "Reminiscences on the {University of Michigan} summer schools, the {Gatlinburg Symposia}, and {Numerische Mathematik}", crossref = "Nash:1990:HSC", pages = "206--210", year = "1990", DOI = "https://doi.org/10.1145/87252.88090", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Varga:1990:SCM, author = "Richard S. Varga", title = "Scientific Computation on Mathematical Problems and Conjectures", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "vi + 122", year = "1990", ISBN = "0-89871-257-2", ISBN-13 = "978-0-89871-257-5", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", } @Book{Volkov:1990:MN, author = "E. A. Volkov", title = "M{\'e}todos num{\'e}ricos. ({Spanish}) [{Numerical} methods]", publisher = "Editorial Mir", address = "Moscow, Russia", pages = "255", year = "1990", ISBN = "5-03-001551-5", ISBN-13 = "978-5-03-001551-4", MRclass = "65-01", MRnumber = "1085251 (92a:65011)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Translated from the Russian by K. P. Medkov", acknowledgement = ack-nhfb, language = "Spanish", } @Book{Volkov:1990:NM, author = "E. A. Volkov", title = "Numerical methods", publisher = "Mir Publishers and Hemisphere Publishing Corporation", address = "Moscow, Russia and New York, NY, USA", edition = "{English}", pages = "238", year = "1990", ISBN = "1-56032-011-7", ISBN-13 = "978-1-56032-011-1", LCCN = "QA297 .V5413 1990", MRclass = "65-01", MRnumber = "1106640 (92a:65010)", bibdate = "Tue May 27 08:31:14 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Translated from the Russian by Leonid Levant", acknowledgement = ack-nhfb, keywords = "numerical analysis", remark = "Translated from the Russian by Leonid Levant.", subject = "Numerical analysis", } @Book{Vorozhtsov:1990:MLS, author = "E. V. (Evgenii Vasil'evich) Vorozhtsov and N. N. Ianenko", title = "Methods for the localization of singularities in numerical solutions of gas dynamics problems", publisher = pub-SV, address = pub-SV:adr, pages = "x + 406", year = "1990", ISBN = "0-387-50363-3", ISBN-13 = "978-0-387-50363-9", LCCN = "QA930 .V6613 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Translation of: Metody lokalizatsii osobennostei pri chislennom reshenii zadach gazodinamiki.", series = "Springer series in computational physics", acknowledgement = ack-nhfb, keywords = "gas dynamics; numerical analysis", } @Book{Wakulicz:1990:NAM, author = "Andrzej Wakulicz", title = "Numerical analysis and mathematical modelling", volume = "24", publisher = "PWN-Polish Scientific Publishers", address = "Warszawa, Poland", pages = "566", year = "1990", ISBN = "83-01-09355-2", ISBN-13 = "978-83-01-09355-6", ISSN = "0137-6934", LCCN = "QA297 .N842 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "English and Russian.", series = "Banach Center publications", acknowledgement = ack-nhfb, keywords = "mathematical models; numerical analysis", } @Book{Wang:1990:SBY, author = "De Ren Wang and Zhong Hua Yang", title = "Shuzhi bijin yinlun. ({Mandarin Chinese}) []", publisher = "Gaodeng Jiaoyu Chubanshe (Higher Education Press)", address = "Beijing, People's Republic of China", pages = "vi + 387", year = "1990", ISBN = "7-04-002244-3", ISBN-13 = "978-7-04-002244-5", MRclass = "65-01 (65Dxx)", MRnumber = "1208911 (94f:65003)", MRreviewer = "Yu Yu Feng", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Gaodeng Xuexiao Shiyong Jiaocai. [Trial Educational Materials for Advanced Schools]", acknowledgement = ack-nhfb, } @Book{Webster:1990:SMS, author = "R. Webster and M. A. Oliver", title = "Statistical methods in soil and land resource survey", number = "UK\pounds40.00 (US\$80.00 U.S.) (hardcover)", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "316", year = "1990", ISBN = "0-19-823317-5 (hardcover), 0-19-823316-7 (paperback)", ISBN-13 = "978-0-19-823317-6 (hardcover), 978-0-19-823316-9 (paperback)", LCCN = "S592.14 .W4 1990", bibdate = "Thu Oct 31 18:09:37 2002", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Rev. ed. of: Quantitative and numerical methods in soil classification and survey. 1977.", price = "UK\pounds20.00 (US\$40.00)", series = "Spatial information systems", acknowledgement = ack-nhfb, keywords = "soil surveys --- statistical methods; soils -- classification --- statistical methods", } @InCollection{Wheeler:1990:PCU, author = "David J. Wheeler", title = "Programmed computing at the {Universities of Cambridge and Illinois} in the early fifties", crossref = "Nash:1990:HSC", pages = "269--279", year = "1990", DOI = "https://doi.org/10.1145/87252.88104", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InCollection{Young:1990:HRI, author = "David M. Young", title = "A historical review of iterative methods", crossref = "Nash:1990:HSC", pages = "180--194", year = "1990", DOI = "https://doi.org/10.1145/87252.88086", bibdate = "Fri Nov 16 11:10:53 MST 2012", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Manual{Ahola:1991:ANM, author = "M. P. Ahola and D. A. Donato and Nicholas P. Kripakov", title = "Application of numerical modeling techniques to analysis of cutter roof failure", number = "9287", organization = "U.S. Dept. of the Interior, Bureau of Mines", address = "Washington, DC, USA", pages = "ii + 28", year = "1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Information circular", acknowledgement = ack-nhfb, keywords = "mine roof control --- mathematical models", } @Book{Borse:1991:FNM, author = "Garold J. (Garold J.) Borse", title = "{Fortran 77} and Numerical Methods for Engineers", publisher = pub-PWS-KENT, address = pub-PWS-KENT:adr, edition = "Second", pages = "xiv + 722", month = may, year = "1991", ISBN = "0-534-92562-6", ISBN-13 = "978-0-534-92562-8", LCCN = "TA 345 B67 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "http://www.amazon.com/exec/obidos/ISBN=0-534-92562-6/wholesaleproductA/; http://www.cbooks.com/; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$57.95", series = "PWS-Kent series in engineering and computer science", URL = "http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=0-534-92562-6", acknowledgement = ack-nhfb, keywords = "Engineering --- Data processing; FORTRAN 77 (Computer program language)", } @Book{Brandal:1991:NLA, editor = "Willy Brandal and Charles O. Christenson and Bryan A. Smith", title = "Numerical linear algebra", publisher = "BCS Associates", address = "Moscow, ID, USA", pages = "vi + 202", year = "1991", ISBN = "0-914351-05-2", ISBN-13 = "978-0-914351-05-4", LCCN = "QA184 .B72 1991", MRclass = "65-01 (65F05 65F10 65F15)", MRnumber = "1121497 (92i:65001)", MRreviewer = "R. E. Funderlic", bibdate = "Tue May 27 08:31:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, author-dates = "1942--", subject = "Linear algebraic groups; Matrices; Vector algebra", } @MastersThesis{Chu:1991:NSU, author = "Keh-Cheng Chu", title = "A numerical study of upwind methods for the {Euler} equations", type = "Thesis (M.S.)", school = "University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "viii + 61", year = "1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCLA --- computer science", } @Book{Deuflhard:1991:NM, author = "Peter Deuflhard and Andreas Hohmann", title = "{Numerische Mathematik}. ({German}) [{Numerical} mathematics]", publisher = pub-GRUYTER, address = pub-GRUYTER:adr, pages = "xvi + 339", year = "1991", ISBN = "3-11-012917-5; 3-11-012918-3", ISBN-13 = "978-3-11-012917-5; 978-3-11-012918-2", MRclass = "65-01", MRnumber = "1197354 (94f:65002)", MRreviewer = "W. Govaerts", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Eine algorithmisch orientierte Einf{\"u}hrung. [An algorithmically oriented introduction]", series = "de Gruyter Lehrbuch. [de Gruyter Textbook]", acknowledgement = ack-nhfb, language = "German", } @Book{Donea:1991:ENM, author = "J. Donea and P. M. Jones", title = "Experimental and numerical methods in earthquake engineering", volume = "2", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "x + 381", year = "1991", ISBN = "0-7923-1434-4 (hardcover)", ISBN-13 = "978-0-7923-1434-9 (hardcover)", LCCN = "TA654.6 .E98 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Based on the lecture notes prepared for the advanced course \ldots{} held at the Joint Research Centre (JRC) of the Commission of the European Communities, Ispra Establishment, in October 1991.", series = "Eurocourses. Reliability and risk analysis", acknowledgement = ack-nhfb, keywords = "earthquake engineering", } @Book{Dongarra:1991:SLS, author = "Jack J. Dongarra and Iain S. Duff and Danny C. Sorensen and Henk A. {van der Vorst}", title = "Solving Linear Systems on Vector and Shared Memory Computers", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "x + 256", year = "1991", ISBN = "0-89871-270-X", ISBN-13 = "978-0-89871-270-4", LCCN = "QA184 .S65 1991", bibdate = "Mon Oct 26 07:30:53 1998", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/texbook2.bib; MathSciNet database", acknowledgement = ack-nhfb, tableofcontents = "Introduction / 1 \\ 1 Vector and Parallel Processing / 3 \\ 1.1 Traditional Computers and Their Limitations / 3 \\ 1.2 Parallelism within a Single Processor / 4 \\ 1.2.1 Multiple Functional Units / 4 \\ 1.2.2 Pipelining / 4 \\ 1.2.3 Overlapping / 6 \\ 1.2.4 RISC / 7 \\ 1.2.5 VLIW / 8 \\ 1.2.6 Vector Instructions / 8 \\ 1.2.7 Chaining / 9 \\ 1.2.8 Memory-to-Memory and Register-to-Register Organizations / 10 \\ 1.2.9 Register Set / 10 \\ 1.2.10 Stripmining / 11 \\ 1.2.11 Reconfigurable Vector Registers / 11 \\ 1.2.12 Memory Organization / 12 \\ 1.3 Data Organization / 14 \\ 1.3.1 Main Memory / 14 \\ 1.3.2 Cache / 16 \\ 1.3.3 Local Memory / 18 \\ 1.4 Memory Management / 18 \\ 1.5 Parallelism through Multiple Pipes or Multiple Processors / 21 \\ 1.6 Interconnection Topology / 22 \\ 1.6.1 Crossbar Switch / 23 \\ 1.6.2 Timeshared Bus / 24 \\ 1.6.3 Ring Connection / 25 \\ 1.6.4 Mesh Connection / 25 \\ 1.6.5 Hypercube / 26 \\ 1.6.6 Multistaged Network / 27 \\ 1.7 Programming Techniques / 29 \\ 2 Overview of Current High-Performance Computers / 33 \\ 2.1 Supercomputers / 33 \\ 2.2 Mini-Supercomputers / 36 \\ 2.3 Vector Mainframes / 37 \\ 2.4 Novel Parallel Processors / 37 \\ 3 Implementation Details and Overhead / 43 \\ 3.1 Parallel Decomposition and Data Dependency Graphs / 43 \\ 3.2 Synchronization / 46 \\ 3.3 Load Balancing / 48 \\ 3.4 Recurrence / 49 \\ 3.5 Indirect Addressing / 51 \\ 4 Performance: Analysis, Modeling, and Measurements / 53 \\ 4.1 Amdahl's Law / 54 \\ 4.1.1 Simple Case of Amdahl's Law / 54 \\ 4.1.2 General Form of Amdahl's Law / 55 \\ 4.2 Vector Speed and Vector Length / 56 \\ 4.3 Amdahl's Law-Parallel Processing / 57 \\ 4.3.1 A Simple Model / 60 \\ 4.3.2 Gustafson's Model / 60 \\ 4.4 Examples of $(r_\infty, n_{1/2})$-values for Various Computers / 60 \\ 4.4.1 CRAY-1 and CRAY-2 (one processor) / 62 \\ 4.4.2 CRAY X-MP (one processor; clock cycle time 8.5 nsec) / 63 \\ 4.4.3 CYBER 205 (2-pipe) and ETA-10P (single processor) / 63 \\ 4.4.4 IBM 3090/VF (1 processor; clock cycle time 18.5 nsec) / 64 \\ 4.4.5 NEC SX/2 / 65 \\ 4.4.6 Convex C-1 and Convex C-210 / 66 \\ 4.4.7 Alliant FX/80 / 66 \\ 4.4.8 General Observations / 68 \\ 4.5 LINPACK Benchmark / 68 \\ 4.5.1 Description of the Benchmark / 69 \\ 4.5.2 Calls to the BLAS / 69 \\ 4.5.3 Asymptotic Performance / 75 \\ 5 Building Blocks in Linear Algebra / 75 \\ 5.1 Basic Linear Algebra Subprograms / 75 \\ 5.1.1 Level 1 BLAS / 76 \\ 5.1.2 Level 2 BLAS / 77 \\ 5.1.3 Level 3 BLAS / 78 \\ 5.2 Levels of Parallelism / 81 \\ 5.2.1 Vector Computers / 81 \\ 5.2.2 Parallel Processors with Shared Memory / 82 \\ 5.2.3 Parallel-Vector Computers / 83 \\ 5.2.4 Clusters of Parallel Vector Processors / 84 \\ 5.3 Basic Factorizations of Linear Algebra / 84 \\ 5.3.1 Point Algorithm: Gaussian Elimination with Partial Pivoting / 84 \\ 5.3.2 Special Matrices / 86 \\ 5.4 Blocked Algorithms: Matrix-Vector and Matrix-Matrix Versions / 89 \\ 5.4.1 Right-Looking Algorithm / 90 \\ 5.4.2 Left-Looking Algorithm / 92 \\ 5.4.3 Crout Algorithm / 98 \\ 5.4.4 Typical Performance of Blocked LU Decomposition / 94 \\ 5.4.5 Blocked Symmetric Indefinite Factorization / 95 \\ 5.4.6 Typical Performance of Blocked Symmetric Indefinite Factorization. / 98 \\ 5.5 Linear Least Squares / 98 \\ 5.5.1 Householder Method / 99 \\ 5.5.2 Blocked Householder Method / 100 \\ 5.5.3 Typical Performance of the Blocked Householder Factorization / 101 \\ 5.6 Organization of the Modules / 102 \\ 5.6.1 Matrix--Vector Product / 102 \\ 5.6.2 Matrix--Matrix Product / 103 \\ 5.6.3 Typical Performance for Parallel Processing / 104 \\ 5.6.4 Benefits / 105 \\ 5.7 LAPACK / 106 \\ 6 Direct Solution of Sparse Linear Systems / 109 \\ 6.1 Introduction to Direct Methods for Sparse Linear Systems / 111 \\ 6.1.1 Three Approaches / 111 \\ 6.1.2 Description of Sparse Data Structure / 112 \\ 6.1.3 Manipulation of Sparse Data Structure / 114 \\ 6.2 General Sparse Matrix Methods / 116 \\ 6.3 Methods for Symmetric Matrices and Band Systems / 124 \\ 6.3.1 The Clique Concept in Gaussian Elimination / 125 \\ 6.3.2 Code Performance and Symmetry / 128 \\ 6.4 Frontal Methods / 130 \\ 6.4.1 Organization / 130 \\ 6.4.2 Vector Performance / 132 \\ 6.5 Multifrontal Methods / 135 \\ 6.5.1 Performance on Vector Machines / 139 \\ 6.5.2 Performance on Parallel Machines / 139 \\ 6.6 Other Approaches for Exploitation of Parallelism / 141 \\ 6.7 Software / 141 \\ 6.8 Brief Summary / 142 \\ 7 Iterative Solution of Sparse Linear Systems / 143 \\ 7.1 Iterative Methods / 145 \\ 7.1.1 Conjugate Gradient / 145 \\ 7.1.2 Least Squares Conjugate Gradients / 148 \\ 7.1.3 Biconjugate Gradients / 150 \\ 7.1.4 Conjugate Gradient Squared / 152 \\ 7.1.5 GMRES and GMRES(m) / 154 \\ 7.1.6 Adaptive Chebychev / 156 \\ 7.2 Vector and Parallel Aspects / 158 \\ 7.2.1 General Remarks / 158 \\ 7.2.2 Sparse Matrix-Vector Multiplication / 160 \\ 7.2.3 Performance of the Unpreconditioned Methods / 164 \\ 7.3 Preconditioning / 165 \\ 7.3.1 General Aspects / 165 \\ 7.3.2 Efficient Implementations / 168 \\ 7.3.3 Partial Vectorization / 170 \\ 7.3.4 Reordering the Unknowns / 172 \\ 7.3.5 Changing the Order of Computation / 174 \\ 7.3.6 Some Other Vectorizable Preconditioners / 180 \\ 7.3.7 Parallel Aspects / 183 \\ 7.4 Experiences with Parallelism / 186 \\ 7.4.1 General Remarks / 186 \\ 7.4.2 Overlapping Local Preconditioners / 186 \\ 7.4.3 Repeated Twisted Factorization / 188 \\ 7.4.4 Twisted and Nested Twisted Factorization / 189 \\ 7.4.5 Hyperplane Ordering / 189 \\ A Acquiring Mathematical Software / 191 \\ B Glossary / 197 \\ C Information on Various High-Performance Computers / 213 \\ D Level 1, 2, and 3 BLAS Quick Reference / 221 \\ E Operation Counts for Various BLAS and Decompositions / 227 \\ Index / 247", } @Manual{Eidson:1991:FAD, author = "T. M. Eidson and Thomas A. Zang", title = "Filtering analysis of a direct numerical simulation of the turbulent {Rayleigh-Benard} problem", number = "15", organization = pub-NASA, address = pub-NASA:adr, pages = "????", year = "1991", LCCN = "NAS 1.26:187488 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Microfiche. [Washington, DC?: National Aeronautics and Space Administration], 1991. 1 microfiche.", series = "ICASE interim report", acknowledgement = ack-nhfb, keywords = "Rayleigh number; turbulence", } @Book{Engquist:1991:TIC, author = "Bj{\"o}rn Engquist and Bertil Gustafsson", title = "Third International Conference on Hyperbolic Problems: theory, numerical methods and applications: proceedings, Uppsala, Sweden, June 11--15, 1990", publisher = pub-CHARTWELL-BRATT, address = pub-CHARTWELL-BRATT:adr, pages = "517 (vol. 1), 519--1024 (vol. 2)", year = "1991", ISBN = "91-44-33421-4 (Studentlitteratur), 0-86238-285-8 (Chartwell Bratt)", ISBN-13 = "978-91-44-33421-9 (Studentlitteratur), 978-0-86238-285-8 (Chartwell Bratt)", LCCN = "QA377.I563 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "The two earlier conferences \ldots{} were held in St. Etienne, France, 1986 and Aachen, Germany, 1988.", acknowledgement = ack-nhfb, keywords = "differential equations, hyperbolic --- congresses; differential equations, nonlinear --- congresses", } @Book{Gill:1991:NLA, author = "Philip E. Gill and Walter Murray and Margaret H. Wright", title = "Numerical linear algebra and optimization. {Vol}. 1", publisher = pub-AW, address = pub-AW:adr, pages = "xx + 426", year = "1991", ISBN = "0-201-12649-4 (vol. 1)", ISBN-13 = "978-0-201-12649-5 (vol. 1)", LCCN = "QA184 .N86 1989", MRclass = "65-01 (65Fxx 65K05 90-01 90Cxx)", MRnumber = "1074004 (92b:65001)", MRreviewer = "Sven-{\AA}ke Gustafson", bibdate = "Tue May 27 08:31:20 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Algebras, Linear; Numerical calculations; Mathematical optimization", } @Book{Griffiths:1991:NMEa, author = "D. V. Griffiths and I. M. Smith", title = "Numerical methods for engineers: a programming approach", publisher = pub-BLACKWELL-SCI, address = pub-BLACKWELL-SCI:adr, pages = "xiii + 330", year = "1991", ISBN = "0-632-02753-3 (paperback), 0-632-02751-7 (hard)", ISBN-13 = "978-0-632-02753-8 (paperback), 978-0-632-02751-4 (hard)", LCCN = "TA335 .G75 1991 Bar", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "engineering mathematics --- data processing; numerical analysis --- data processing", } @Book{Griffiths:1991:NMEb, author = "D. V. Griffiths and I. M. Smith", title = "Numerical methods for engineers: a programming approach", publisher = pub-CRC, address = pub-CRC:adr, pages = "xiii + 330", year = "1991", ISBN = "0-8493-8610-1", ISBN-13 = "978-0-8493-8610-7", LCCN = "TA335 .G75 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "engineering mathematics --- data processing; numerical analysis --- data processing", } @Book{Hackbusch:1991:ILG, author = "Wolfgang Hackbusch", title = "{Iterative L{\"o}sung gro{\ss}er schwachbesetzter Gleichungssysteme}. ({German}) [{Iterative} solution of large sparse system of equations]", volume = "69", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, pages = "382", year = "1991", ISBN = "3-519-02372-5", ISBN-13 = "978-3-519-02372-2", MRclass = "65-01 (65F10 65F50)", MRnumber = "1091715 (92i:65002)", MRreviewer = "G. Maess", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Teubner Studienb{\"u}cher Mathematik. [Teubner Mathematical Textbooks]", series = "Leitf{\"a}den der Angewandten Mathematik und Mechanik [Guides to Applied Mathematics and Mechanics]", acknowledgement = ack-nhfb, language = "German", } @Book{Hammerlin:1991:NM, author = "G{\"u}nther (G{\"u}nther) H{\"a}mmerlin and Karl-Heinz (Karl-Heinz) Hoffmann", title = "Numerical mathematics", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 422", year = "1991", DOI = "https://doi.org/10.1007/978-1-4612-4442-4", ISBN = "0-387-97494-6 (New York), 3-540-97494-6 (Berlin)", ISBN-13 = "978-0-387-97494-1 (New York), 978-3-540-97494-9 (Berlin)", LCCN = "QA297 .H2513 1991", MRclass = "65-01", MRnumber = "1088482 (92d:65001)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 08:31:23 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Translated from the German by Larry Schumaker, Readings in Mathematics", series = "Undergraduate texts in mathematics. Readings in mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0812/90022552-d.html; http://www.loc.gov/catdir/enhancements/fy0812/90022552-t.html", acknowledgement = ack-nhfb, author-dates = "1928--", remark = "Translation of: Numerische Mathematik.", subject = "Numerical analysis", } @Manual{Hestenes:1991:NIN, author = "Magnus Rudolph Hestenes and John Todd", title = "{NBS-INA}, the Institute for Numerical Analysis, {UCLA} 1947--1954", number = "730", organization = pub-NTIS, address = pub-NTIS:adr, pages = "various", month = aug, year = "1991", LCCN = "QA76.95 .H47 1991; C 13.10: 730 Govt Pub; QA 297 H47 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Cover title: Mathematicians learning to use computers: the Institute for Numerical Analysis, UCLA, 1947--1954. Spine title: The Institute for Numerical Analysis, UCLA, 1947--1954. Sponsored in part by the Mathematical Association of America. Shipping list no.: 92-1306-M.", series = "NIST special publication", acknowledgement = ack-nhfb, keywords = "electronic digital computers --- research --- history; Institute for Numerical Analysis (U.S.) --- history; mathematics --- data processing --- history; numerical analysis --- research --- history", tableofcontents = "Foreword / iii \\ Preface / v \\ Chapter I \\ The Beginnings / 1 \\ The War Years --- 1939--1945 / 2 \\ The Post-War Years / 3 \\ Chapter II \\ The Period Summer 1947 through Summer 1948 / 7 \\ Chapter III \\ The Period Fall 1948 through Spring 1949 / 11 \\ Chapter IV \\ The Period Summer 1949 through Summer 1950 / 17 \\ Chapter V \\ The Period Fall 1950 through Spring 1951 / 23 \\ Chapter VI \\ The Period Summer 1951 through Spring 1952 / 27 \\ Chapter VII \\ The Period Summer 1952 through Spring 1953 / 33 \\ Chapter VIII \\ The Period Summer 1953 through Spring 1954 / 39 \\ Chapter IX \\ Some Typical Projects / 45 \\ Hilbert Matrices and Related Topics / 45 \\ Gerschgorin Theorems and Related Results / 47 \\ Solutions of Systems of Linear Equations / 48 \\ References / 67 \\ Photographs and Cartoons / 73 \\ Appendix A. John Hamilton Curtiss 1909--77 / A-1 \\ Appendix B. Two Papers by John H. Curtiss / B-1 \\ Appendix C. The SWAC [The National Bureau of Standards Western Automatic Computer, by Harry D. Huskey] / C-1 \\ Appendix D. Symposia and Tables / D-1 \\ Appendix E. Educational Activities / E-1 \\ Appendix F. Personnel / F-1 \\ Index / ind-1", } @Book{Horn:1991:TMA, author = "Roger Horn and Charles R. Johnson", title = "Topics in Matrix Analysis", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "viii + 607", year = "1991", ISBN = "0-521-30587-X", ISBN-13 = "978-0-521-30587-7", LCCN = "QA188 .H664 1991", bibdate = "Sat Jul 3 12:22:36 2004", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib", acknowledgement = ack-nhfb, } @Book{Hostetter:1991:ANC, author = "G. H. Hostetter and Mohammed S. Santina and Paul D'Carpio-Montalvo", title = "Analytical, numerical, and computational methods for science and engineering", publisher = pub-PH, address = pub-PH:adr, pages = "xxi + 488", year = "1991", ISBN = "0-13-026055-X", ISBN-13 = "978-0-13-026055-0", LCCN = "Q183.9 .H67 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$48.00", acknowledgement = ack-nhfb, keywords = "engineering --- data processing; numerical analysis; science --- data processing", } @PhdThesis{Hudak:1991:AMR, author = "Paul F. Hudak", title = "Analytical methods for regional-scale ground water monitoring network design and numerical verification", type = "Thesis (Ph.D.) in geography", school = "University of California, Santa Barbara", address = "Santa Barbara, CA, USA", pages = "xvii + 388", day = "14", month = dec, year = "1991", LCCN = "64.2 N1", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "water, underground --- pollution --- mathematical models", } @Book{Kincaid:1991:NA, author = "David Kincaid and Ward Cheney", title = "Numerical analysis", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "x + 690", year = "1991", ISBN = "0-534-13014-3", ISBN-13 = "978-0-534-13014-5", MRclass = "65-01", MRnumber = "1099375 (92c:65002)", MRreviewer = "Carroll O. Wilde", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Mathematics of scientific computing", acknowledgement = ack-nhfb, } @Book{Kincaid:1991:NAM, author = "David (David Ronald) Kincaid and E. W. (Elliott Ward) Cheney", title = "Numerical analysis: mathematics of scientific computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "viii + 690", year = "1991", ISBN = "0-534-13014-3", ISBN-13 = "978-0-534-13014-5", LCCN = "QA297 .K563 1991", bibdate = "Tue May 27 08:31:24 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, keywords = "numerical analysis", subject = "Numerical analysis", } @Book{Klatte:1991:PSB, author = "R. Klatte and U. Kulisch and M. Neaga and D. Ratz and Ch. Ullrich", title = "{PASCAL-XSC: Sprachbeschreibung mit Beispielen}", publisher = pub-SV, address = pub-SV:adr, pages = "x + 345", year = "1991", ISBN = "0-387-53714-7", ISBN-13 = "978-0-387-53714-6", LCCN = "QA76.73.P2 P42 1991", bibdate = "Mon Dec 18 09:37:18 1995", bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "English translation is available as \cite{Klatte:1991:PXP}.", acknowledgement = ack-nhfb, } @Book{Klatte:1991:PXP, author = "R. Klatte and U. Kulisch and M. Neaga and D. Ratz and Ch. Ullrich", title = "{PASCAL-XSC}: {A PASCAL} Extension for Scientific Computation", publisher = pub-SV, address = pub-SV:adr, pages = "x + 344", year = "1991", ISBN = "0-387-55137-9 (New York), 3-540-55137-9 (Berlin)", ISBN-13 = "978-0-387-55137-1 (New York), 978-3-540-55137-9 (Berlin)", LCCN = "QA76.73.P2 P4213 1992", bibdate = "Thu Nov 8 14:50:35 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "English translation of \cite{Klatte:1991:PSB}.", price = "DM64.00", acknowledgement = ack-nhfb, referred = "[Corl91a].", } @Book{Korbicz:1991:WMN, author = "J{\'o}zef Korbicz and Zbigniew Zajda and W{\l}odzimierz Solnik and Dariusz Uci{\'n}ski", title = "Wybrane metody numerycznego rozwi{\k{a}}zywania r{\'o}wna{\'n} r{\'o}{\.z}niczkowych cz{\k{a}}stkowych. ({Polish}) [{Some} numerical methods of solving partial differential equations]", publisher = "Wydawnictwo Wy\.zszej Szko\l y In\.zynierskiej", address = "Zielona G{\'o}ra, Poland", pages = "208", year = "1991", MRclass = "65-01 (65Mxx 65Nxx)", MRnumber = "1169101 (93e:65001)", MRreviewer = "Lubor Malina", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Polish", } @Book{Kruse:1991:UVK, author = "Rudolf Kruse and E. Schwecke and J. Heinsohn", title = "Uncertainty and vagueness in knowledge based systems: numerical methods", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 491", year = "1991", ISBN = "3-540-54165-9 (Berlin), 0-387-54165-9 (New York)", ISBN-13 = "978-3-540-54165-3 (Berlin), 978-0-387-54165-5 (New York)", LCCN = "Q335 .K75 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Artificial intelligence", acknowledgement = ack-nhfb, keywords = "artificial intelligence; expert systems (computer science); fuzzy sets; mathematical models; uncertainty (information theory)", } @Book{Lambert:1991:NMO, author = "J. D. (John Denholm) Lambert", title = "Numerical methods for ordinary differential systems: the initial value problem", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "x + 293", year = "1991", ISBN = "0-471-92990-5", ISBN-13 = "978-0-471-92990-1", LCCN = "QA328 .L36 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$45.90", acknowledgement = ack-nhfb, keywords = "initial value problems --- numerical solutions", } @Manual{Liou:1991:CNM, author = "W. W. Liou and P. J. Morris", title = "A comparison of numerical methods for the {Rayleigh} equation in unbounded domains", number = "CMOTT-91-4, 105179", organization = "Institute for Computational Mechanics in Propulsion and Center for Modeling of Turbulence and Transition", address = "Lewis Research Center", pages = "????", year = "1991", LCCN = "NAS 1.15:105179 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 92-0454-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1991] 1 microfiche.", series = "NASA TM", acknowledgement = ack-nhfb, keywords = "finite differences; hydrodynamics", } @Book{Mikhlin:1991:EAN, author = "S. G. (Solomon Grigor'evich) Mikhlin", title = "Error analysis in numerical processes", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "283", year = "1991", ISBN = "0-471-92133-5", ISBN-13 = "978-0-471-92133-2", LCCN = "QA275 .M6413 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Rev. translation of: {Fehler in numerischen Prozessen}. A Wiley-Interscience publication.", price = "US\$70.00", series = "Pure and applied mathematics", acknowledgement = ack-nhfb, keywords = "error analysis (mathematics)", } @Book{Nakamura:1991:ANM, author = "Shoichiro Nakamura", title = "Applied numerical methods with software", publisher = pub-PH, address = pub-PH:adr, pages = "xiii + 570", year = "1991", ISBN = "0-13-041047-0", ISBN-13 = "978-0-13-041047-4", LCCN = "QA297 .N283 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$27.75", acknowledgement = ack-nhfb, keywords = "numerical analysis; numerical analysis --- data processing", } @Book{Nurminskii:1991:CMV, author = "Evgenii Alekseevich Nurminskii", title = "Chislennye metody vypukloi optimizatsii", publisher = pub-NAUKA, address = pub-NAUKA:adr, pages = "165", year = "1991", ISBN = "5-02-000127-9", ISBN-13 = "978-5-02-000127-5", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Nauchnoe izdanie. Title on t.p. verso: Numerical methods for convex optimization. At head of title: Akademiia nauk SSSR. Dal'nevostochnoe otdelenie. Institut prikladnoi matematiki. Summary and table of contents in English.", price = "2.00rub", acknowledgement = ack-nhfb, keywords = "convex functions; mathematical optimization", } @MastersThesis{Park:1991:NAL, author = "Hee Kuwon Park", title = "Numerical analysis of laser melting of thin silicon films: research project", type = "Master of Science, Plan II", school = "Dept. of Mechanical Engineering, University of California, Berkeley", address = "Berkeley, CA, USA", pages = "various", year = "1991", LCCN = "T7.49.1991 P1342", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Pielczyk:1991:NMS, author = "Andreas Pielczyk", title = "Numerical methods for solving systems of quasidifferentiable equations", volume = "124", publisher = "A. Hain", address = "Frankfurt am Main, Germany", pages = "70", year = "1991", ISBN = "3-445-09827-1", ISBN-13 = "978-3-445-09827-6", LCCN = "QA372 .P645 1991 Bar", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Mathematical systems in economics", acknowledgement = ack-nhfb, keywords = "differential equations --- numerical solutions; mathematical optimization; multiple criteria decision making", } @Book{Prossdorf:1991:NAIa, author = "Siegfried Prossdorf and Bernd Silbermann", title = "Numerical analysis for integral and related operator equations", volume = "84", publisher = pub-AKADEMIE-VERLAG, address = pub-AKADEMIE-VERLAG:adr, pages = "542", year = "1991", ISBN = "3-05-500696-8", ISBN-13 = "978-3-05-500696-8", LCCN = "QA3 .M328 v.84", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Mathematische Lehrbucher und Monographien. II. Abteilung, Mathematische Monographien", acknowledgement = ack-nhfb, keywords = "integral equations; numerical analysis", } @Book{Prossdorf:1991:NAIb, author = "Siegfried Prossdorf and Bernd Silbermann", title = "Numerical analysis for integral and related operator equations", volume = "52", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "542", year = "1991", ISBN = "0-8176-2620-4 (Boston), 3-7643-2620-4 (Basel)", ISBN-13 = "978-0-8176-2620-4 (Boston), 978-3-7643-2620-3 (Basel)", LCCN = "QA431 .P77 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "SFr. 198.00 (approx.)", series = "Operator theory, advances and applications", acknowledgement = ack-nhfb, keywords = "integral equations; numerical analysis", } @MastersThesis{Reed:1991:SDN, author = "Brenda Lee Reed", title = "A short discussion of numerical methods to solve linear and nonlinear elliptic partial differential equations", type = "Thesis (M.A.)", school = "University of California, Santa Cruz", address = "Santa Cruz, CA, USA", pages = "v + 131", year = "1991", LCCN = "QA377.R43 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "differential equations, elliptic --- numerical solutions; differential equations, partial --- numerical solutions; masters theses --- University of California, Santa Cruz --- 1991", } @Book{Reithmeier:1991:PSN, author = "Eduard Reithmeier", title = "Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos", volume = "1483", publisher = pub-SV, address = pub-SV:adr, pages = "vi + 171", year = "1991", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0094521", ISBN = "3-540-54512-3 (print), 3-540-38427-8 (e-book)", ISBN-13 = "978-3-540-54512-5 (print), 978-3-540-38427-4 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L28 no. 1483", MRclass = "34C25 (37G99; 34C23; 34-02; 70-02; 70K05; 34C15; 34C27; 65J99; 70K20; 34D20; 34B15; 70K30; 37C75; 37G15; 65L99; 70K40); 34C25 (34A34 34C15 34C23 34D05 35Bxx 58F22 70H05)", MRnumber = "1165534 (93g:34063)", MRreviewer = "Gary M. Lieberman", bibdate = "Tue May 6 14:55:06 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/lnm1990.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = ser-LECT-NOTES-MATH, URL = "http://link.springer.com/book/10.1007/BFb0094521; http://www.springerlink.com/content/978-3-540-38427-4", ZMnumber = "0728.34043", acknowledgement = ack-nhfb, series-URL = "http://link.springer.com/bookseries/304", xxpages = "151 (est.)", } @Book{Schatzman:1991:AN, author = "Michelle Schatzman", title = "Analyse num{\'e}rique. ({French}) [{Numerical} analysis]", publisher = pub-IE, address = pub-IE:adr, pages = "358", year = "1991", ISBN = "2-7296-0373-5", ISBN-13 = "978-2-7296-0373-1", MRclass = "65-01", MRnumber = "1200897 (93i:65002)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Cours et exercices pour la licence. [Course and exercises for the bachelor's degree]", acknowledgement = ack-nhfb, language = "French", } @Book{Schiesser:1991:NML, author = "W. E. Schiesser", title = "The numerical method of lines: integration of partial differential equations", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xiii + 326", year = "1991", ISBN = "0-12-624130-9", ISBN-13 = "978-0-12-624130-3", LCCN = "QA377 .S354 1991", MRclass = "65-01 (65-04 65M20)", MRnumber = "1117905 (92f:65003)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 08:31:27 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Integration of partial differential equations", URL = "http://www.loc.gov/catdir/description/els032/90025389.html; http://www.loc.gov/catdir/toc/els031/90025389.html", acknowledgement = ack-nhfb, subject = "Differential equations, Partial; Numerical solutions", } @Book{Schneider:1991:NM, author = "M. Schneider", title = "{Numerische Mathematik}. ({German}) [{Numerical} mathematics]", volume = "10", publisher = "Deutscher Verlag der Wissenschaften", address = "Berlin, Germany", pages = "165", year = "1991", ISBN = "3-326-00591-1", ISBN-13 = "978-3-326-00591-1", MRclass = "65-01", MRnumber = "1141387 (92j:65001)", MRreviewer = "Martin Hermann", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Studienb{\"u}cherei. [Textbook Library]", series = "Mathematik f{\"u}r Lehrer [Mathematics for Teachers]", acknowledgement = ack-nhfb, language = "German", } @Book{Schwarz:1991:MFE, author = "Hans-Rudolf Schwarz", title = "{Methode der finiten Elemente}. ({German}) [{Finite-element} method]", volume = "47", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, edition = "Third", pages = "435", year = "1991", ISBN = "3-519-22349-X", ISBN-13 = "978-3-519-22349-8", MRclass = "65-01 (65M60 65N30 73V05)", MRnumber = "1147648 (93e:65002)", MRreviewer = "Rolf Rannacher", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Eine Einf{\"u}hrung unter besonderer Ber{\"u}cksichtigung der Rechenpraxis. [An introduction with special reference to computational practice], Teubner Studienb{\"u}cher Mathematik. [Teubner Mathematical Textbooks]", series = "Leitf{\"a}den der Angewandten Mathematik und Mechanik [Guides to Applied Mathematics and Mechanics]", acknowledgement = ack-nhfb, language = "German", } @Book{Snyder:1991:NAS, author = "Willard M. Snyder and Richard H. McCuen", title = "Numerical analysis with sliding polynomials", publisher = "Lighthouse Publications", address = "Mission Viejo, Calif.", pages = "ix + 561", year = "1991", ISBN = "0-914055-09-7", ISBN-13 = "978-0-914055-09-9", LCCN = "QA281 .S57 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "approximation theory; interpolation; numerical analysis", } @Book{Sobol:1991:MCM, author = "I. M. Sobol{\cprime}", title = "{Die Monte-Carlo-Methode}. ({German}) [{The Monte Carlo} Method]", publisher = "Deutscher Verlag der Wissenschaften", address = "Berlin, Germany", pages = "108", year = "1991", ISBN = "3-326-00635-7", ISBN-13 = "978-3-326-00635-2", MRclass = "65-01 (65C05)", MRnumber = "1188646 (93g:65005)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Translated from the fourth (1985) Russian edition by Klaus Lommatzsch and A. Matthes", acknowledgement = ack-nhfb, language = "German", } @Book{Tornig:1991:NLP, author = "Willi T{\"o}rnig and Michael Gipser and Bernhard Kaspar", title = "{Numerische L{\"o}sung von partiellen Differentialgleichungen der Technik}. ({German}) [{Numerical} solution of partial differential equations of technology]", volume = "1", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, edition = "Second", pages = "183", year = "1991", ISBN = "3-519-12613-3", ISBN-13 = "978-3-519-12613-3", MRclass = "65-01 (65Nxx)", MRnumber = "1219091 (94c:65004)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Differenzenverfahren, finite Elemente und die Behandlung gro{\ss}er Gleichungssysteme. [Difference methods, finite elements and the treatment of large systems of equations]", series = "Mathematische Methoden in der Technik [Mathematical Methods in Technology]", acknowledgement = ack-nhfb, language = "German", } @MastersThesis{Tsuchiya:1991:NMR, author = "Nobushige Tsuchiya", title = "Numerical methods for reaction diffusion equation on the torus", type = "Thesis (M.A.)", school = "University of California, Santa Cruz", address = "Santa Cruz, CA, USA", pages = "iv + 72", year = "1991", LCCN = "QA377.T788 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "differential equations, partial --- numerical solutions --- data processing; Masters Theses --- University of California, Santa Cruz --- 1991", } @MastersThesis{Vinh:1991:INC, author = "Hoang Vinh", title = "An investigation of the numerical characteristics of finite-difference methods as applied to the time-domain Maxwell's equations", type = "Thesis (M.S.) in Mechanical Engineering", school = "University of California, Davis", address = "Davis, CA, USA", pages = "106", year = "1991", LCCN = "LD781.D5j 1991 V565 Spec Coll", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- University of California, Davis --- mechanical; engineering", } @MastersThesis{Wang:1991:NSG, author = "Hongtao Wang", title = "Numerical software with guaranteed results", type = "Thesis (M.S.) in Computer Science", school = "University of California, Davis", address = "Davis, CA, USA", pages = "203", year = "1991", LCCN = "LD781.D5j 1991 W362 Spec Coll", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- University of California, Davis --- computer; science", } @Book{Watkins:1991:FMC, author = "David S. Watkins", title = "Fundamentals of Matrix Computations", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xiii + 449", year = "1991", ISBN = "0-471-61414-9", ISBN-13 = "978-0-471-61414-2", LCCN = "QA188 .W38 1991", MRclass = "65-01 (65Fxx)", MRnumber = "1087066 (92a:65012)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0608/90048895-d.html; http://www.loc.gov/catdir/enhancements/fy0609/90048895-b.html; http://www.loc.gov/catdir/toc/onix02/90048895.html", acknowledgement = ack-nhfb, subject = "Matrices", } @Manual{Weilmuenster:1991:NAS, author = "K. James Weilmuenster and Robert E. Smith and Francis A. Greene", title = "Numerical analysis and simulation of an assured crew return vehicle flow field", number = "3101", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1991", LCCN = "NAS 1.60:3101 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 92-1251-M. Microfiche. [Washington, DC?: National Aeronautics and Space Administration], 1992. 1 microfiche.", series = "NASA technical paper", acknowledgement = ack-nhfb, keywords = "numerical grid generation (numerical analysis); space station freedom program (u.s.)", } @Book{Agafonov:1992:PMR, author = "S. A. Agafonov and E. E. Ivanova and A. A. Levitski{\u\i}", title = "Priblizhennye metody resheniya obyknovennykh differentsialnykh uravnenii. ({Russian}) [{Approximate} methods for solving ordinary differential equations]", publisher = "Moskovski{\u\i} Gosudarstvenny{\u\i} Tekhnicheski{\u\i} Universitet im. N. {\`E}. Baumana", address = "Moscow, Russia", pages = "95", year = "1992", ISBN = "5-7038-0699-2", ISBN-13 = "978-5-7038-0699-9", MRclass = "65-01 (34A45 65L06 65L12)", MRnumber = "1284466 (95i:65001)", MRreviewer = "Snezhana Gocheva-Ilieva", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Russian", } @Book{Alder:1992:NME, author = "H. Alder", title = "Numerical Methods in Engineering and Applied Sciences = Metodos Numericos en Ingenieria y Cincias Aplicadas: proceedings of the International Congress on Numerical Methods in Engineering and Applied Sciences, held at University of Concepcion, Chile, 16--20 November, 1992", publisher = "Centro Internacional de Metodos Numericos en Ingenieria", address = "Barcelona, Spain", pages = "613 (vol. 1), 633--1340 (vol. 2)", year = "1992", ISBN = "84-87867-16-2", ISBN-13 = "978-84-87867-16-3", LCCN = "555 I575 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "engineering mathematics --- congresses; numerical calculations --- congresses", } @Book{Ames:1992:NMP, author = "William F. Ames", title = "Numerical methods for partial differential equations", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, edition = "Third", pages = "ix + 451", year = "1992", ISBN = "0-12-056761-X", ISBN-13 = "978-0-12-056761-4", LCCN = "QA374 .A46 1992", MRclass = "65-01", MRnumber = "1184394 (93g:65003)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 08:32:16 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Computer Science and Scientific Computing", URL = "http://www.loc.gov/catdir/description/els032/91032811.html; http://www.loc.gov/catdir/toc/els032/91032811.html", acknowledgement = ack-nhfb, keywords = "differential equations, partial --- numerical solutions", subject = "Differential equations, Partial; Numerical solutions", } @Book{Anonymous:1992:MIN, author = "Anonymous", title = "Methods of interpreting numerical weather prediction output for aeronautical meteorology", number = "770", publisher = "Secretariat of the World Meteorological Organization", address = "Geneva, Switzerland", pages = "v + 89", year = "1992", ISBN = "92-63-10770-X", ISBN-13 = "978-92-63-10770-1", LCCN = "QC851.W6 no.195", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "World Meteorology Organization. Working Group on Advanced Techniques Applied to Aeronautical Meteorology", series = "WMO", acknowledgement = ack-nhfb, keywords = "meteorology in aeronautics; numerical weather forecasting", } @Book{Beevers:1992:TCN, author = "C. J. Beevers and A. F. Blom", title = "Theoretical concepts and numerical analysis of fatigue: proceedings of a conference held 25--27th May 1992 at The University of Birmingham, {U.K}", publisher = "EMAS", address = "Warley. UK", pages = "vi + 589", year = "1992", ISBN = "0-947817-57-3", ISBN-13 = "978-0-947817-57-2", LCCN = "TA418.38.T44 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "materials --- fatigue --- congresses", } @Book{Bevington:1992:DRE, author = "Philip R. Bevington and D. Keith Robinson", title = "Data reduction and error analysis for the physical sciences", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, edition = "Second", pages = "xvii + 328", year = "1992", ISBN = "0-07-911243-9", ISBN-13 = "978-0-07-911243-9", LCCN = "QA278 .B48 1992", MRclass = "65-01 (65Cxx 65U05)", MRnumber = "1196227 (94c:65001)", MRreviewer = "Yuri{\'{\i}} Petrovich Pyt{\cprime}ev", bibdate = "Tue May 27 08:32:17 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "With 1 IBM-PC floppy disk (5.25 inch; HD)", price = "US\$14.95 (set only)", acknowledgement = ack-nhfb, author-dates = "1933--", subject = "Multivariate analysis; Error analysis (Mathematics); Least squares; Data reduction", } @Book{Braess:1992:NMA, author = "Dietrich Braess and Larry L. Schumaker", title = "Numerical methods in approximation theory. Vol. 9", volume = "105", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xiv + 357", year = "1992", ISBN = "3-7643-2746-4 (Basel), 0-8176-2746-4 (Boston)", ISBN-13 = "978-3-7643-2746-0 (Basel), 978-0-8176-2746-1 (Boston)", LCCN = "QA221 .N84 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Official proceedings of a conference on `Numerical methods in approximation theory' which was held at the Mathematisches Forschungsinstitut in Oberwolfach during the week of November 24--30, 1991.", series = "International series of numerical mathematics", acknowledgement = ack-nhfb, keywords = "approximation theory --- congresses; numerical analysis --- congresses", } @Book{Brand:1992:NCM, author = "Ludwig Brand and Michael L. Johnson", title = "Numerical computer methods", volume = "210", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xxix + 718", year = "1992", ISBN = "0-12-182111-0", ISBN-13 = "978-0-12-182111-1", LCCN = "QU135 .C58 v. 210 and 240 1992--1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Methods in enzymology", acknowledgement = ack-nhfb, keywords = "computers --- methods; mathematical computing; medical sciences --- research --- data processing; numerical analysis --- data processing; numerical analysis, computer-assisted", } @Book{Brezinski:1992:BAN, author = "Claude Brezinski", title = "Biorthogonality and its applications to numerical analysis", publisher = pub-DEKKER, address = pub-DEKKER:adr, pages = "v + 166", year = "1992", ISBN = "0-8247-8616-5", ISBN-13 = "978-0-8247-8616-8", LCCN = "QA404.5 .B72 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "approximation theory; biorthogonal systems; numerical analysis", } @PhdThesis{Brookes:1992:CNM, author = "Robert W. Brookes", title = "Convergence of numerical methods for the one-dimensional inverse problem of reflection seismology with general input sources", type = "Thesis (Ph.D.)", school = "University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "ix + 167", year = "1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCLA --- mathematics", } @Book{Buchanan:1992:NMA, author = "James L. Buchanan and P. R. Turner", title = "Numerical methods and analysis", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xv + 751", year = "1992", ISBN = "0-07-008717-2", ISBN-13 = "978-0-07-008717-0", LCCN = "QA297.B79 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "International series in pure and applied mathematics", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Celia:1992:NMD, author = "Michael Anthony Celia and William G. (William Guerin) Gray", title = "Numerical methods for differential equations: fundamental concepts for scientific and engineering applications", publisher = pub-PH, address = pub-PH:adr, pages = "xii + 436", year = "1992", ISBN = "0-13-626961-3", ISBN-13 = "978-0-13-626961-8", LCCN = "QA372 .C39 1992", MRclass = "65-01", MRnumber = "1131285 (92h:65001)", bibdate = "Tue May 27 08:32:19 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Fundamental concepts for scientific and engineering applications", acknowledgement = ack-nhfb, keywords = "differential equations --- numerical solutions; differential equations, partial --- numerical solutions", subject = "Differential equations; Numerical solutions; Differential equations, Partial", } @Manual{Chan:1992:NMS, author = "William M. Chan", title = "Numerical methods for the simulation of complex multi-body flows with applications for the Integrated Space Shuttle Vehicle", number = "190045", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1992", LCCN = "NAS 1.26:190045 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 93-0040-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration], 1992. 1 microfiche.", series = "NASA-CR", acknowledgement = ack-nhfb, keywords = "aerodynamics; space shuttles", } @Book{Etter:1992:FNM, author = "D. M. Etter", title = "Fortran 77 with numerical methods for engineers and scientists", publisher = pub-BENCUM, address = pub-BENCUM:adr, pages = "xxv + 776", year = "1992", ISBN = "0-8053-1770-8", ISBN-13 = "978-0-8053-1770-1", LCCN = "QA76.73.F25 E847 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "System requirements for computer disk (ASCII files): PC; FORTRAN 77 compiler.", acknowledgement = ack-nhfb, keywords = "fortran 77 (computer program language)", } @TechReport{Ferrari:1992:SCN, author = "Mauro Ferrari and Nicola Marzari", title = "Symbolic computing and numerical techniques in the residual stress analysis of media with inhomogeneous microstructures", number = "UCB/SEMM-92/18", institution = "Dept. of Civil Engineering, University of California, Berkeley", address = "Berkeley, CA, USA", pages = "[19]", month = jun, year = "1992", LCCN = "TA160.4 .R44 no.92:18", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "micromechanics; microstructure; residual stresses; shells --- thermal stresses", } @Book{Finlayson:1992:NMP, author = "Bruce A. Finlayson", title = "Numerical methods for problems with moving fronts", publisher = "Ravenna Park Pub.", address = "Seattle, Wash., USA", pages = "vii + 605", year = "1992", ISBN = "0-9631765-0-1", ISBN-13 = "978-0-9631765-0-9", LCCN = "TA347.F5 F565 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "System requirements for computer disk: PC.", acknowledgement = ack-nhfb, keywords = "finite differences; finite element method; numerical analysis --- data processing", } @Book{Freeman:1992:PNA, author = "T. L. (T. Len) Freeman and Chris Phillips", title = "Parallel numerical algorithms", publisher = pub-PHI, address = pub-PHI:adr, pages = "xi + 315", year = "1992", ISBN = "0-13-651597-5 (paperback)", ISBN-13 = "978-0-13-651597-5 (paperback)", LCCN = "QA76.9.A43 F74 1992", MRclass = "65-01 (65Y05)", MRnumber = "1211414 (94a:65001)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 08:32:22 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", price = "US\$35.95", series = "Prentice Hall International Series in Computer Science", acknowledgement = ack-nhfb, author-dates = "1950--", subject = "Parallel algorithms", } @Book{Frontini:1992:CNN, author = "Marco Frontini and Aldo Tagliani", title = "Calcolo Numerico---Esercizi \toenglish {Numerical Calculations---Exercises} \endtoenglish", publisher = "clup Citt{\`a}Studi", address = "Milano, Italy", year = "1992", ISBN = "88-251-7056-4", ISBN-13 = "978-88-251-7056-6", LCCN = "????", bibdate = "Fri Jun 11 07:02:39 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Manual{Girvin:1992:NAR, author = "Douglas Lynn Girvin", title = "Numerical analysis of right-half plane zeros for a single-link manipulator: a thesis presented to the academic faculty", number = "190966", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1992", LCCN = "NAS 1.26:190966 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 93-0324-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration], 1992. 2 microfiches.", series = "NASA-CR", acknowledgement = ack-nhfb, keywords = "manipulators (mechanism); robots, industrial", } @Book{Givoli:1992:NMP, author = "Dan Givoli", title = "Numerical methods for problems in infinite domains", volume = "33", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "xv + 299", year = "1992", ISBN = "0-444-88820-9", ISBN-13 = "978-0-444-88820-4", LCCN = "TA347.B69 G58 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Studies in applied mechanics", acknowledgement = ack-nhfb, keywords = "boundary element methods; finite element method", } @Book{Golub:1992:SCD, author = "Gene H. (Gene Howard) Golub and James M. Ortega", title = "Scientific computing and differential equations: an introduction to numerical methods", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xi + 337", year = "1992", ISBN = "0-12-289255-0", ISBN-13 = "978-0-12-289255-4", LCCN = "QA371 .G62 1992", MRclass = "65-01", MRnumber = "1133393 (92f:65002)", bibdate = "Tue May 27 08:32:23 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/texbook2.bib; z3950.loc.gov:7090/Voyager", note = "Rev. ed. of: \booktitle{An introduction to numerical methods for differential equations} / James M. Ortega. 1981.", URL = "http://www.loc.gov/catdir/description/els032/91020106.html; http://www.loc.gov/catdir/toc/els032/91020106.html", acknowledgement = ack-nhfb, author-dates = "1932--2007", keywords = "differential equations --- numerical solutions --- data processing", remark = "Rev. ed. of: An introduction to numerical methods for differential equations / James M. Ortega. 1981.", subject = "Differential equations; Numerical solutions; Data processing", } @Book{Golub:SCD92, author = "Gene H. Golub and James M. Ortega", title = "Scientific Computing and Differential Equations", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xi + 337", year = "1992", ISBN = "0-12-289255-0", ISBN-13 = "978-0-12-289255-4", LCCN = "QA371 .G62 1992", bibdate = "Tue Dec 14 23:00:48 1993", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/texbook2.bib", note = prep-latex, acknowledgement = ack-gg, } @Book{Griffiths:1992:NAP, author = "D. F. Griffiths and G. A. Watson", title = "Numerical analysis, 1991: proceedings of the 14th Dundee Conference, June 1991", volume = "260", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "292", year = "1992", ISBN = "0-582-08908-5", ISBN-13 = "978-0-582-08908-2", ISSN = "0269-3674", LCCN = "QA297.D85 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Pitman research notes in mathematics", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Book{Grossmann:1992:NPD, author = "Christian Gro{\ss}mann and Hans-G{\"o}rg Roos", title = "{Numerik partieller Differentialgleichungen}. ({German}) [{Numerical} solution of partial differential equations]", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, pages = "477", year = "1992", ISBN = "3-519-02089-0", ISBN-13 = "978-3-519-02089-9", MRclass = "65-01 (65Mxx 65Nxx)", MRnumber = "1219087 (94h:65001)", MRreviewer = "I. N. Molchanov", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Teubner Studienb{\"u}cher Mathematik. [Teubner Mathematical Textbooks]", acknowledgement = ack-nhfb, language = "German", } @PhdThesis{Hench:1992:NMP, author = "John Josef Hench", title = "Numerical methods for periodical linear systems", type = "Thesis (Ph.D.)", school = "University of California, Santa Barbara", address = "Santa Barbara, CA, USA", pages = "xiv + 166", year = "1992", LCCN = "TK174.C2 S25 HENJ 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCSB --- Electrical and Computer Engineering", } @Book{Hirsch:1992:CMA, author = "Ch Hirsch and Jacques Periaux and E. Onate", title = "Computational methods in applied sciences: invited lectures and special technological sessions of the First European Computational Fluid Dynamics Conference and the First European Conference on Numerical Methods in Engineering, 7--11 September 1992, Brussels, Belgium", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "vii + 305", year = "1992", ISBN = "0-444-89795-X", ISBN-13 = "978-0-444-89795-4", LCCN = "TA357 .E88 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "engineering mathematics --- congresses; fluid dynamics --- mathematics --- congresses", } @Book{Hirsch:1992:NME, author = "Ch Hirsch and O. C. Zienkiewicz and E. Onate", title = "Numerical methods in engineering '92: proceedings of the First European Conference on Numerical Methods in Engineering, 7--11 September 1992, Brussels, Belgium", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "xv + 879", year = "1992", ISBN = "0-444-89794-1", ISBN-13 = "978-0-444-89794-7", LCCN = "TA335 .E97 1992 Bar", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "engineering mathematics --- congresses; numerical analysis --- congresses", } @Manual{Ho:1992:NAI, author = "H. Ho", title = "Numerical analysis of the {Iosipescu} specimen for composite materials", number = "190658", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1992", LCCN = "NAS 1.26:190658 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 93-0034-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration], 1992. 1 microfiche.", series = "NASA-CR", acknowledgement = ack-nhfb, keywords = "composite materials; numerical analysis", } @Book{Hoffman:1992:NME, author = "Joe D. Hoffman", title = "Numerical methods for engineers and scientists", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xviii + 825", year = "1992", ISBN = "0-07-029213-2", ISBN-13 = "978-0-07-029213-0", LCCN = "QA297 .H588 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{James:1992:PPN, author = "K. R. James and W. O. Riha", title = "{Pascal} programming and numerical methods for scientists and engineers", publisher = pub-STUDENTLITTERATUR, address = pub-STUDENTLITTERATUR:adr, pages = "vii + 208", year = "1992", ISBN = "0-86238-303-X, 91-44-36061-4 (Studentlitteratur)", ISBN-13 = "978-0-86238-303-9, 978-91-44-36061-4 (Studentlitteratur)", LCCN = "QA76.73.P2 .J357 1992 Bar", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "A Chartwell-Bratt student text", acknowledgement = ack-nhfb, keywords = "numerical analysis --- data processing; Pascal (computer program language)", } @Book{Jennings:1992:MC, author = "Alan Jennings and J. J. McKeown", title = "Matrix computation for engineers and scientists", publisher = pub-WILEY, address = pub-WILEY:adr, edition = "Second", pages = "xiv + 427", year = "1992", ISBN = "0-471-93527-1", ISBN-13 = "978-0-471-93527-8", LCCN = "TA347.D4 J46 1992", MRclass = "65-01 (15-01 65Fxx)", MRnumber = "1199109 (93m:65002)", MRreviewer = "Heike Fa{\ss}bender", bibdate = "Tue May 27 08:32:28 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "\pounds 19.95", acknowledgement = ack-nhfb, subject = "Matrices", } @Book{Kloeden:1992:NSS, author = "Peter E. Kloeden and Eckhard Platen", title = "Numerical Solution of Stochastic Differential Equations", volume = "23", publisher = pub-SV, address = pub-SV:adr, pages = "xxxvi + 636", year = "1992", DOI = "https://doi.org/10.1007/978-3-662-12616-5", ISBN = "3-642-08107-X", ISBN-13 = "978-3-642-08107-1", LCCN = "QA273.A1-274.9; QA274-274.9", bibdate = "Tue Apr 29 18:44:55 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/probstat1990.bib; prodorbis.library.yale.edu:7090/voyager", series = "Applications of Mathematics, Stochastic Modelling and Applied Probability", ISSN = "0172-4568", ISSN-L = "0172-4568", abstract = "The numerical analysis of stochastic differential equations differs significantly from that of ordinary differential equations due to peculiarities of stochastic calculus. This book provides an introduction to stochastic calculus and stochastic differential equations, in both theory and applications, emphasising the numerical methods needed to solve such equations. It assumes of the reader an undergraduate background in mathematical methods typical of engineers and physicists, though many chapters begin with a descriptive summary. The book is also accessible to others who only require numerical recipes. The stochastic Taylor expansion provides the basis for the discrete time numerical methods for differential equations. The book presents many new results on high-order methods for strong sample path approximations and for weak functional approximations, including implicit, predictor-corrector, extra-polation and variance-reduction methods. Besides serving as a basic text on such methods, the book offers the reader ready access to a large number of potential research problems in a field that is just beginning to expand rapidly and is widely applicable. To help the reader to develop an intuitive understanding of the underlying mathematics and hand-on numerical skills, exercises and over 100 PC-Exercises are included.", acknowledgement = ack-nhfb, subject = "Mathematics; Global analysis (Mathematics); Numerical analysis; Distribution (Probability theory); Economics; Statistics; Engineering mathematics", } @Book{Kushner:1992:NMS, author = "Harold J. (Harold Joseph) Kushner and Paul Dupuis", title = "Numerical methods for stochastic control problems in continuous time", volume = "24", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 439", year = "1992", ISBN = "0-387-97834-8 (New York), 3-540-97834-8 (Berlin)", ISBN-13 = "978-0-387-97834-5 (New York), 978-3-540-97834-3 (Berlin)", LCCN = "QA402.37 .K87 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Applications of mathematics", acknowledgement = ack-nhfb, keywords = "Markov processes; numerical analysis; stochastic control theory", } @Book{LeVeque:1992:NMC, author = "Randall J. LeVeque", title = "Numerical methods for conservation laws", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, edition = "Second", pages = "214", year = "1992", ISBN = "3-7643-2723-5 (Basel), 0-8176-2723-5 (Boston)", ISBN-13 = "978-3-7643-2723-1 (Basel), 978-0-8176-2723-2 (Boston)", LCCN = "QA377 .L4157 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lectures in mathematics ETH Zurich", acknowledgement = ack-nhfb, keywords = "conservation laws (mathematics); differential equations, hyperbolic --- numerical solutions; shock waves", } @Book{Lund:1992:SMQ, author = "J. Lund and K. L. Bowers", title = "Sinc Methods for Quadrature and Differential Equations", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "x + 304", year = "1992", ISBN = "0-89871-298-X", ISBN-13 = "978-0-89871-298-8", LCCN = "QA372 .L86 1992", bibdate = "Sun Jun 29 18:28:50 MDT 2008", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Galerkin methods; numerical integration; differential equations; numerical solutions", xxauthor = "J. (John) Lund and K. L. (Kenneth L.) Bowers", xxURL = "http://www.loc.gov/catdir/enhancements/fy0726/92012139-d.html; http://www.loc.gov/catdir/enhancements/fy0726/92012139-t.html", } @Manual{Mathew:1992:SAI, author = "Tarek P. Mathew", title = "{Schwarz} alternating and iterative refinement methods for mixed formulations of elliptic problems. Part {I}, Algorithms and numerical results", number = "92--04", organization = "Dept. of Mathematics, University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "22", month = jan, year = "1992", LCCN = "QA 1 C36 no.92-04 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "CAM report", acknowledgement = ack-nhfb, } @Book{Mathews:1992:NMM, author = "John H. Mathews", title = "Numerical methods for mathematics, science, and engineering", publisher = pub-PH, address = pub-PH:adr, edition = "Second", pages = "x + 646", year = "1992", ISBN = "0-13-624990-6", ISBN-13 = "978-0-13-624990-0", LCCN = "QA297 .M39 1992", bibdate = "Thu Oct 31 18:09:49 2002", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Rev. ed. of: Numerical methods for computer science, engineering, and mathematics. 1987.", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Mohr:1992:FES, author = "G. A. Mohr", title = "Finite elements for solids, fluids, and optimization", publisher = pub-CLARENDON, address = pub-CLARENDON:adr, pages = "xvi + 604", year = "1992", ISBN = "0-19-856369-8 (hardcover), 0-19-856368-X (paperback)", ISBN-13 = "978-0-19-856369-3 (hardcover), 978-0-19-856368-6 (paperback)", LCCN = "TA347.F5 M64 1992", MRclass = "65-01 (65M60 65N30 73V05 76M10 90C30)", MRnumber = "1206475 (95f:65003)", MRreviewer = "Srinivasan Kesavan", bibdate = "Tue May 27 08:32:31 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", price = "$^{}^1$60.00 (US\$90.00 U.S.)$^{}^1$27.50 (US\$41.50 U.S.)", series = "Oxford Science Publications", URL = "http://www.loc.gov/catdir/enhancements/fy0638/92009625-d.html; http://www.loc.gov/catdir/enhancements/fy0638/92009625-t.html", acknowledgement = ack-nhfb, subject = "Finite element method; Mechanics, Applied; Mathematics; Fluid mechanics; Mathematical optimization", } @Book{Morgan:1992:NM, author = "Don Morgan", title = "Numerical Methods: Real-time and Embedded Systems Programming", publisher = pub-MT, address = pub-MT:adr, pages = "496", year = "1992", ISBN = "1-55851-232-2 (book only), 1-55851-233-0 (disk only), 1-55851-234-9 (book and disk set)", ISBN-13 = "978-1-55851-232-0 (book only), 978-1-55851-233-7 (disk only), 978-1-55851-234-4 (book and disk set)", LCCN = "QA76.6 .M669 1992", bibdate = "Wed Sep 14 19:16:35 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$34.95", acknowledgement = ack-nj, } @Manual{Paxson:1992:GNM, author = "Daniel E. Paxson", title = "A general numerical model for wave rotor analysis", number = "105740", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1992", LCCN = "NAS 1.15:105740 Government Information Microfiche", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 93-0047-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration], 1992. 1 microfiche.", series = "NASA technical memorandum", acknowledgement = ack-nhfb, keywords = "gas-turbines; metals --- fatigue", } @Manual{Paxson:1992:INM, author = "Daniel E. Paxson and Jack Wilson", title = "An improved numerical model for wave rotor design and analysis", number = "105915", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1992", LCCN = "NAS 1.15:105915 Government Information Microfiche", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 93-0304-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration], 1992. 1 microfiche.", series = "NASA technical memorandum", acknowledgement = ack-nhfb, keywords = "rotors", } @PhdThesis{Pember:1992:NMH, author = "Richard Bissell Pember", title = "Numerical methods for hyperbolic conservation laws with stiff relaxation", type = "Thesis (Ph.D.) in Applied Mathematics", school = "University of California, Berkeley", address = "Berkeley, CA, USA", pages = "viii + 109", month = may, year = "1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCB --- mathematics -- 1991--2000; University of California, Berkeley. Dept. of Mathematics --- dissertations", } @Book{Pepper:1992:FEM, author = "Darrell W. (Darrell W.) Pepper and Juan C. Heinrich", title = "The finite element method: basic concepts and applications", publisher = pub-HEMISPHERE, address = pub-HEMISPHERE:adr, pages = "xii + 240", year = "1992", ISBN = "1-56032-104-0", ISBN-13 = "978-1-56032-104-0", LCCN = "TA347.F5 P46 1992", MRclass = "65-01 (65M60 65N30 73V05 76M10)", MRnumber = "1177833 (93f:65001)", MRreviewer = "William W. Hager", bibdate = "Tue May 27 08:32:32 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Basic concepts and applications, With 1 IBM-PC floppy disk (5.25 inch; HD)", series = "Series in Computational and Physical Processes in Mechanics and Thermal Sciences", URL = "http://www.loc.gov/catdir/enhancements/fy0653/91037924-d.html", acknowledgement = ack-nhfb, remark = "System requirements for computer disk: PC; 640KB RAM; FORTRAN 77 and QuickBASIC; hard disk system with at least 20MB memory (recommended);math coprocessor chip (8087, 80287, or 80387); EGA resolution.", subject = "Finite element method", } @Book{Plybon:1992:IAN, author = "Benjamin F. Plybon", title = "An introduction to applied numerical analysis", publisher = pub-PWS-KENT, address = pub-PWS-KENT:adr, pages = "xi + 644", year = "1992", ISBN = "0-534-92284-8, 0-534-97205-5 (international student ed.)", ISBN-13 = "978-0-534-92284-9, 978-0-534-97205-9 (international student ed.)", LCCN = "QA297.P58 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Prindle, Weber and Schmidt series in mathematics", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Press:1992:NRC, author = "W. H. Press and B. P. Flannery and S. A. Teukolsky and W. T. Vetterling", title = "Numerical Recipes in {C}: The Art of Scientific Computing", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, edition = "Second", pages = "xxvi + 994", year = "1992", ISBN = "0-521-43108-5, 0-521-43720-2", ISBN-13 = "978-0-521-43108-8, 978-0-521-43720-2", LCCN = "QA297 .N864 1992", bibdate = "Thu Sep 01 22:12:07 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Press:1992:NRF, author = "William H. Press and Saul A. Teukolsky and William T. Vetterling and Brian P. Flannery", title = "Numerical Recipes in {FORTRAN}: The Art of Scientific Computing", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, edition = "Second", pages = "xxvi + 963", day = "1", month = oct, year = "1992", ISBN = "0-521-43064-X (book), 0-521-43721-0 (example book) 0-521-43717-2 (diskette), 0-521-43719-9 (diskette), 0-521-43716-4 (diskette)", ISBN-13 = "978-0-521-43064-7 (book), 978-0-521-43721-9 (example book) 978-0-521-43717-2 (diskette), 978-0-521-43719-6 (diskette), 978-0-521-43716-5 (diskette)", LCCN = "QA76.73.C15 N865 1992", MRclass = "65-00 (62-04 65-04)", MRnumber = "93i:65001a", bibdate = "Wed Apr 11 06:18:56 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", note = "Includes MacIntosh disk.", price = "US\$39.95; US\$54.95", acknowledgement = ack-nhfb, hardcover = "yes", keywords = "FORTRAN (Computer program language); Fortran (computer program language); numerical analysis -- computer programs; Numerical analysis --- Computer programs; science -- mathematics -- computer programs; Science --- Mathematics --- Computer programs", shorttableofcontents = "Preface to the Second Edition / xi \\ Preface to the First Edition / xiv \\ Legal Matters / xvi \\ Computer Programs by Chapter and Section / xix \\ 1 Preliminaries / 1 \\ 2 Solution of Linear Algebraic Equations / 22 \\ 3 Interpolation and Extrapolation / 99 \\ 4 Integration of Functions / 123 \\ 5 Evaluation of Functions / 159 \\ 6 Special Functions / 205 \\ 7 Random Numbers / 266 \\ 8 Sorting / 320 \\ 9 Root Finding and Nonlinear Sets of Equations / 340 10 Minimization or Maximization of Functions / 387 \\ 11 Eigensystems / 449 \\ 12 Fast Fourier Transform / 490 \\ 13 Fourier and Spectral Applications / 530 \\ 14 Statistical Description of Data / 603 \\ 15 Modeling of Data / 650 \\ 16 Integration of Ordinary Differential Equations / 701 17 Two Point Boundary Value Problems / 745 \\ 18 Integral Equations and Inverse Theory / 779 \\ 19 Partial Differential Equations / 818 \\ 20 Less-Numerical Algorithms / 881 \\ References / 916 \\ Index of Programs and Dependencies / 920 \\ General Index / 934", tableofcontents = "Preface to the Second Edition / xi \\ Preface to the First Edition / xiv \\ Legal Matters / xvi \\ Computer Programs by Chapter and Section / xix \\ 1 Preliminaries / 1 \\ 1.0 Introduction / 1 \\ 1.1 Program Organization and Control Structures / 5 \\ 1.2 Error, Accuracy, and Stability / 18 \\ \\ 2 Solution of Linear Algebraic Equations / 22 \\ 2.0 Introduction / 22 \\ 2.1 Gauss--Jordan Elimination / 27 \\ 2.2 Gaussian Elimination with Backsubstitution / 33 \\ 2.3 LU Decomposition and Its Applications / 34 \\ 2.4 Tridiagonal and Band Diagonal Systems of Equations / 42 \\ 2.5 Iterative Improvement of a Solution to Linear Equations / 47 \\ 2.6 Singular Value Decomposition / 51 \\ 2.7 Sparse Linear Systems / 63 \\ 2.8 Vandermonde Matrices and Toeplitz Matrices / 82 \\ 2.9 Cholesky Decomposition / 89 \\ 2.10 $ Q R $ Decomposition / 91 \\ 2.11 Is Matrix Inversion an N3 Process? / 95 \\ \\ 3 Interpolation and Extrapolation / 99 \\ 3.0 Introduction / 99 \\ 3.1 Polynomial Interpolation and Extrapolation / 102 \\ 3.2 Rational Function Interpolation and Extrapolation / 104 \\ 3.3 Cubic Spline Interpolation / 107 \\ 3.4 How to Search an Ordered Table / 110 \\ 3.5 Coefficients of the Interpolating Polynomial / 113 \\ 3.6 Interpolation in Two or More Dimensions / 116 \\ \\ 4 Integration of Functions / 123 \\ 4.0 Introduction / 123 \\ 4.1 Classical Formulas for Equally Spaced Abscissas / 124 \\ 4.2 Elementary Algorithms / 130 \\ 4.3 Romberg Integration / 134 \\ 4.4 Improper Integrals / 135 \\ 4.5 Gaussian Quadratures and Orthogonal Polynomials / 140 \\ 4.6 Multidimensional Integrals / 155 \\ \\ 5 Evaluation of Functions / 159 \\ 5.0 Introduction / 159 \\ 5.1 Series and Their Convergence / 159 \\ 5.2 Evaluation of Continued Fractions / 163 \\ 5.3 Polynomials and Rational Functions / 167 \\ 5.4 Complex Arithmetic / 171 \\ 5.5 Recurrence Relations and Clenshaw's Recurrence Formula / 172 \\ 5.6 Quadratic and Cubic Equations / 178 \\ 5.7 Numerical Derivatives / 180 \\ 5.8 Chebyshev Approximation / 184 \\ 5.9 Derivatives or Integrals of a Chebyshev-approximated Function / 189 \\ 5.10 Polynomial Approximation from Chebyshev Coefficients / 191 \\ 5.11 Economization of Power Series / 192 \\ 5.12 Pad{\'e} Approximants / 194 \\ 5.13 Rational Chebyshev Approximation / 197 \\ 5.14 Evaluation of Functions by Path Integration / 201 \\ \\ 6 Special Functions / 205 \\ 6.0 Introduction / 205 \\ 6.1 Gamma Function, Beta Function, Factorials, Binomial Coefficients / 206 \\ 6.2 Incomplete Gamma Function, Error Function, Chi-Square Probability Function, Cumulative Poisson Function / 209 \\ 6.3 Exponential Integrals / 215 \\ 6.4 Incomplete Beta Function, Student's Distribution, F-Distribution, Cumulative Binomial Distribution / 219 \\ 6.5 Bessel Functions of Integer Order / 223 \\ 6.6 Modified Bessel Functions of Integer Order / 229 \\ 6.7 Bessel Functions of Fractional Order, Airy Functions, Spherical Bessel Functions / 234 \\ 6.8 Spherical Harmonics / 246 \\ 6.9 Fresnel Integrals, Cosine and Sine Integrals / 248 \\ 6.10 Dawson's Integral / 252 \\ 6.11 Elliptic Integrals and Jacobian Elliptic Functions / 254 \\ 6.12 Hypergeometric Functions / 263 \\ \\ 7 Random Numbers / 266 \\ 7.0 Introduction / 266 \\ 7.1 Uniform Deviates / 267 \\ 7.2 Transformation Method: Exponential and Normal Deviates / 277 \\ 7.3 Rejection Method: Gamma, Poisson, Binomial Deviates / 281 \\ 7.4 Generation of Random Bits / 287 \\ 7.5 Random Sequences Based on Data Encryption / 290 \\ 7.6 Simple Monte Carlo Integration / 295 \\ 7.7 Quasi- (that is, Sub-) Random Sequences / 299 \\ 7.8 Adaptive and Recursive Monte Carlo Methods / 306 \\ \\ 8 Sorting / 320 \\ 8.0 Introduction / 320 \\ 8.1 Straight Insertion and Shell's Method / 321 \\ 8.2 Quicksort / 323 \\ 8.3 Heapsort / 327 \\ 8.4 Indexing and Ranking / 329 \\ 8.5 Selecting the $M$th Largest / 333 \\ 8.6 Determination of Equivalence Classes / 337 \\ \\ 9 Root Finding and Nonlinear Sets of Equations / 340 \\ 9.0 Introduction / 340 \\ 9.1 Bracketing and Bisection / 343 \\ 9.2 Secant Method, False Position Method, and Ridders' Method / 347 \\ 9.3 Van Wijngaarden--Dekker--Brent Method / 352 \\ 9.4 Newton--Raphson Method Using Derivative / 355 \\ 9.5 Roots of Polynomials / 362 \\ 9.6 Newton--Raphson Method for Nonlinear Systems of Equations / 372 \\ 9.7 Globally Convergent Methods for Nonlinear Systems of Equations / 376 \\ \\ 10 Minimization or Maximization of Functions / 387 \\ 10.0 Introduction / 387 \\ 10.1 Golden Section Search in One Dimension / 390 \\ 10.2 Parabolic Interpolation and Brent's Method in One Dimension / 395 \\ 10.3 One-Dimensional Search with First Derivatives / 399 \\ 10.4 Downhill Simplex Method in Multidimensions / 402 \\ 10.5 Direction Set (Powell's) Methods in Multidimensions / 406 \\ 10.6 Conjugate Gradient Methods in Multidimensions / 413 \\ 10.7 Variable Metric Methods in Multidimensions / 418 \\ 10.8 Linear Programming and the Simplex Method / 423 \\ 10.9 Simulated Annealing Methods / 436 \\ \\ 11 Eigensystems / 449 \\ 11.0 Introduction / 449 \\ 11.1 Jacobi Transformations of a Symmetric Matrix / 456 \\ 11.2 Reduction of a Symmetric Matrix to Tridiagonal Form: Givens and Householder Reductions / 462 \\ 11.3 Eigenvalues and Eigenvectors of a Tridiagonal Matrix / 469 \\ 11.4 Hermitian Matrices / 475 \\ 11.5 Reduction of a General Matrix to Hessenberg Form / 476 \\ 11.6 The $ Q R $ Algorithm for Real Hessenberg Matrices / 480 \\ 11.7 Improving Eigenvalues and/or Finding Eigenvectors by Inverse Iteration / 487 \\ \\ 12 Fast Fourier Transform / 490 \\ 12.0 Introduction / 490 \\ 12.1 Fourier Transform of Discretely Sampled Data / 494 \\ 12.2 Fast Fourier Transform (FFT) / 498 \\ 12.3 FFT of Real Functions, Sine and Cosine Transforms / 504 \\ 12.4 FFT in Two or More Dimensions / 515 \\ 12.5 Fourier Transforms of Real Data in Two and Three Dimensions / 519 \\ 12.6 External Storage or Memory-Local FFTs / 525 \\ \\ 13 Fourier and Spectral Applications / 530 \\ 13.0 Introduction / 530 \\ 13.1 Convolution and Deconvolution Using the FFf / 531 \\ 13.2 Correlation and Autocorrelation Using the FFT / 538 \\ 13.3 Optimal (Wiener) Filtering with the FFf / 539 \\ 13.4 Power Spectrum Estimation Using the FFT / 542 \\ 13.5 Digital Filtering in the Time Domain / 551 \\ 13.6 Linear Prediction and Linear Predictive Coding / 557 \\ 13.7 Power Spectrum Estimation by the Maximum Entropy (All Poles) Method / 565 \\ 13.8 Spectral Analysis of Unevenly Sampled Data / 569 \\ 13.9 Computing Fourier Integrals Using the FFT / 577 \\ 13.10 Wavelet Transforms / 584 \\ 13.11 Numerical Use of the Sampling Theorem / 600 \\ \\ 14 Statistical Description of Data / 603 \\ 14.0 Introduction / 603 \\ 14.1 Moments of a Distribution: Mean, Variance, Skewness, and So Forth / 604 \\ 14.2 Do Two Distributions Have the Same Means or Variances? / 609 \\ 14.3 Are Two Distributions Different? / 614 \\ 14.4 Contingency Table Analysis of Two Distributions / 622 \\ 14.5 Linear Correlation / 630 \\ 14.6 Nonparametric or Rank Correlation / 633 \\ 14.7 Do Two-Dimensional Distributions Differ? / 640 \\ 14.8 Savitzky--Golay Smoothing Filters / 644 \\ \\ 15 Modeling of Data / 650 \\ 15.0 Introduction / 650 \\ 15.1 Least Squares as a Maximum Likelihood Estimator / 651 \\ 15.2 Fitting Data to a Straight Line / 655 \\ 15.3 Straight-Line Data with Errors in Both Coordinates / 660 \\ 15.4 General Linear Least Squares / 665 \\ 15.5 Nonlinear Models / 675 \\ \\ 15.6 Confidence Limits on Estimated Model Parameters / 684 \\ 15.7 Robust Estimation / 694 \\ \\ 16 Integration of Ordinary Differential Equations / 701 \\ 16.0 Introduction / 701 \\ 16.1 Runge--Kutta Method / 704 \\ 16.2 Adaptive Stepsize Control for Runge--Kutta / 708 \\ 16.3 Modified Midpoint Method / 716 \\ 16.4 Richardson Extrapolation and the Bulirsch--Stoer Method / 718 \\ 16.5 Second-Order Conservative Equations / 726 \\ 16.6 Stiff Sets of Equations / 727 \\ 16.7 Multistep, Multivalue, and Predictor--Corrector Methods / 740 \\ \\ 17 Two Point Boundary Value Problems / 745 \\ 17.0 Introduction / 745 \\ 17.1 The Shooting Method / 749 \\ 17.2 Shooting to a Fitting Point / 751 \\ 17.3 Relaxation Methods / 753 \\ 17.4 A Worked Example: Spheroidal Harmonics / 764 \\ 17.5 Automated Allocation of Mesh Points / 774 \\ 17.6 Handling Internal Boundary Conditions or Singular Points / 775 \\ \\ 18 Integral Equations and Inverse Theory / 779 \\ 18.0 Introduction / 779 \\ 18.1 Fredholm Equations of the Second Kind / 782 \\ 18.2 Volterra Equations / 786 \\ 18.3 Integral Equations with Singular Kernels / 788 \\ 18.4 Inverse Problems and the Use of A Priori Information / 795 \\ 18.5 Linear Regularization Methods / 799 \\ 18.6 Backus--Gilbert Method / 806 \\ 18.7 Maximum Entropy Image Restoration / 809 \\ \\ 19 Partial Differential Equations / 818 \\ 19.0 Introduction / 818 \\ 19.1 Flux-Conservative Initial Value Problems / 825 \\ 19.2 Diffusive Initial Value Problems / 838 \\ 19.3 Initial Value Problems in Multidimensions / 844 \\ 19.4 Fourier and Cyclic Reduction Methods for Boundary Value Problems / 848 \\ 19.5 Relaxation Methods for Boundary Value Problems / 854 \\ 19.6 Multigrid Methods for Boundary Value Problems / 862 \\ \\ 20 Less-Numerical Algorithms / 881 \\ 20.0 Introduction / 881 \\ 20.1 Diagnosing Machine Parameters / 881 \\ 20.2 Gray Codes ' / 886 \\ \\ 20.3 Cyclic Redundancy and Other Checksums / 888 \\ 20.4 Huffman Coding and Compression of Data / 896 \\ 20.5 Arithmetic Coding / 902 \\ 20.6 Arithmetic at Arbitrary Precision / 906 \\ \\ References / 916 \\ \\ Index of Programs and Dependencies / 920 \\ \\ General Index / 934", } @Book{Rao:1992:NMPa, author = "S. Balachandra Rao and C. K. Shantha", title = "Numerical Methods With Programs in {Basic}, {Fortran} and {Pascal}", publisher = "Stosius Inc/Advent Books Division", address = "London, UK", pages = "xiii + 446", month = dec, year = "1992", ISBN = "0-86311-370-2 (paperback)", ISBN-13 = "978-0-86311-370-3 (paperback)", LCCN = "", bibdate = "Sat Sep 27 17:58:26 MDT 1997", bibsource = "http://www.amazon.com/exec/obidos/ISBN=0863113702/wholesaleproductA/; http://www.cbooks.com/; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$20.00", URL = "http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=0863113702", acknowledgement = ack-nhfb, annote = "Includes index. Bibliography: p. 441-442.", keywords = "Numerical analysis --- Use of --- Computers", } @Book{Rao:1992:NMPb, author = "S. Balachandra Rao and C. K. Shantha", title = "Numerical methods: with programs in {BASIC}, {FORTRAN} and {Pascal}", publisher = "Universities Press (India)", address = "Hyderabad, India", pages = "xiii + 446", year = "1992", ISBN = "0-86311-370-2", ISBN-13 = "978-0-86311-370-3", bibdate = "Sat Jan 27 13:40:57 MST 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Includes index. Bibliography: p. 441-442.", keywords = "Numerical analysis.", } @PhdThesis{Reider:1992:DHO, author = "Marc B. Reider", title = "Development of higher order numerical methods for two dimensional incompressible flows with applications to flows around circular cylinders and airfoils", type = "Thesis (Ph.D.)", school = "University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "x + 176", year = "1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCLA --- mathematics", } @Book{Rice:1992:NMS, author = "John R. Rice", title = "Numerical Methods, Software, and Analysis", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, edition = "Second", pages = "xiv + 720", year = "1992", ISBN = "0-12-587755-2", ISBN-13 = "978-0-12-587755-8", LCCN = "QA297 .R49 1993", bibdate = "Sat Dec 29 13:16:58 2007", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", URL = "http://www.loc.gov/catdir/description/els032/93114990.html; http://www.loc.gov/catdir/toc/els032/93114990.html", acknowledgement = ack-nhfb, shorttableofcontents = "Mathematics and Computer Science Background \\ Numerical Software \\ Errors, Round-Off, And Stability, Models and Formulas for Numerical Computation \\ Interpolation \\ Matrices and Linear Equations \\ Differentiation and Integration \\ Nonlinear Equations \\ Ordinary Differential Equations \\ Partial Differential Equations \\ Approximation of Functions and Data \\ Software Practice, Costs, And Engineering \\ Software Performance Evaluation \\ The Validation of Numerical Computations \\ PROTRAN \\ Subject Index", mynote = "Few changes from 1st edition. Now new references (?), no mention of LAPACK. Still Protran based!", subject = "Numerical analysis; Data processing", tableofcontents = "1. Mathematics and Computer Science Background \\ 1.1. Calculus \\ 1.2. Vectors, Matrices, and Linear Equations \\ 1.3. Differential Equations \\ 1.4. Programming \\ 2. Numerical Software \\ 2.1. Library Concept \\ 2.2. Using a Library \\ 2.3. Standard Numerical Software \\ 2.4. IMSL Mathematics Library \\ 2.5. PROTRAN System \\ 3. Errors, Round-Off, and Stability \\ 3.1. Sources of Uncertainty \\ 3.2. Numerical Approximations \\ 3.3. Round-Off Errors \\ 3.4. Case Study: Calculation of [pi] \\ 3.5. How to Estimate Errors and Uncertainty \\ 4. Models and Formulas for Numerical Computation \\ 4.1. Polynomials \\ 4.2. Piecewise Polynomials \\ 4.3. Splines \\ 4.4. Other Piecewise Polynomials and Splines with Multiple Knots \\ 4.5. General Methods for Deriving Formulas \\ 5. Interpolation \\ 5.1. General Interpolation Using Linear Equation Solvers \\ 5.2. Interpolation Methods for Polynomials \\ 5.3. Interpolation Methods for Piecewise Polynomials \\ 5.4. Software for Interpolation \\ 5.5. Choice of Interpolation Forms and Points \\ 5.6. Error Analysis for Interpolation \\ 6. Matrices and Linear Equations \\ 6.1. Types and Sources of Matrix Computation Problems \\ 6.2. Gauss Elimination, Lu-Factorization, and Pivoting \\ 6.3. Iteration Methods for Linear Systems \\ 6.4. Software for Linear Equations \\ 6.5. Case Study: Design of the Interface for a Linear Equations Solver \\ 6.6. Analysis of the Linear Equations Problem \\ 6.7. Eigensystem Problems and Software \\ 7. Differentiation and Integration \\ 7.1. Methods for Estimating Derivatives \\ 7.2. Software for Differentiation \\ 7.3. Error Analysis for Differentiation \\ 7.4. Estimation of Integrals \\ 7.5. Adaptive Quadrature \\ 7.6. Software for Integration \\ 7.7. ...", } @Book{Saad:1992:NML, author = "Youcef Saad", title = "Numerical methods for large eigenvalue problems", publisher = pub-HALSTED, address = pub-HALSTED:adr, pages = "xii + 346", year = "1992", ISBN = "0-7190-3386-1 (UK), 0-470-21820-7 (US)", ISBN-13 = "978-0-7190-3386-5 (UK), 978-0-470-21820-4 (US)", LCCN = "QA188 .S18 1992", MRclass = "65F15 (65-02 65F50)", MRnumber = "1177405 (93h:65052)", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Sun Sep 5 09:21:22 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; MathSciNet database", series = "Algorithms and Architectures for Advanced Scientific Computing", acknowledgement = ack-nhfb, keywords = "eigenvalues; nonsymmetric matrices", xxaddress = pub-MANCHESTER-UNIV-PRESS:adr, xxpublisher = pub-MANCHESTER-UNIV-PRESS, } @Book{Sedgewick:1992:AC, author = "Robert Sedgewick", title = "Algorithms in {C++}", publisher = pub-AW, address = pub-AW:adr, pages = "xiv + 656", year = "1992", ISBN = "0-201-36118-3, 0-201-51059-6", ISBN-13 = "978-0-201-36118-6, 978-0-201-51059-1", LCCN = "QA76.73.C153 S38 1992", MRclass = "68N15, 68-01, 68-04, 68P10, 68W10, 68W15, 68N15", bibdate = "Mon Jan 3 12:10:05 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cryptography1990.bib; https://www.math.utah.edu/pub/tex/bib/hash.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib; https://www.math.utah.edu/pub/tex/bib/string-matching.bib", ZMnumber = "0826.68025", acknowledgement = ack-nhfb, libnote = "Not yet in my library.", tableofcontents = "Fundamentals \\ 1: Introduction \\ Algorithms \\ Outline of Topics \\ 2: C++ (and C) \\ Example: Euclid's Algorithm \\ Types of Data \\ Input/Output \\ Concluding Remarks \\ 3: Elementary Data Structures \\ Arrays \\ Linked Lists \\ Storage Allocation \\ Pushdown Stacks \\ Queues \\ Linked List Implementation of Stacks \\ Abstract and Concrete Data Types \\ 4: Trees \\ Glossary \\ Properties \\ Representing Binary Trees \\ Representing Forests \\ Traversing Trees \\ 5: Recursion \\ Recurrences \\ Divide-and-Conquer \\ Recursive Tree Traversal \\ Removing Recursion \\ Perspective \\ 6: Analysis of Algorithms \\ Framework \\ Classification of Algorithms \\ Computational Complexity \\ Average-Case Analysis \\ Approximate and Asymptotic Results \\ Basic Recurrences \\ Perspective \\ 7: Implementation of Algorithms \\ Selecting an Algorithm \\ Empirical Analysis \\ Program Optimization \\ Algorithms and Systems \\ Sorting Algorithms \\ 8: Elementary Sorting Methods \\ Rules of the Game \\ Selection Sort \\ Insertion Sort \\ Digression: Bubble Sort \\ Performance Characteristics of Elementary Sorts \\ Sorting Files with Large Records \\ Shellsort \\ Distribution Counting \\ 9: Quicksort \\ The Basic Algorithm \\ Performance Characteristics of Quicksort \\ Removing Recursion \\ Small Subfiles \\ Median-of-Three Partitioning \\ Selection \\ 10: Radix Sorting \\ Bits \\ Radix Exchange Sort \\ Straight Radix Sort \\ Performance Characteristics of Radix Sorts \\ A Linear Sort \\ 11: Priority Queues \\ Elementary Implementations \\ Heap Data Structure \\ Algorithms on Heaps \\ Heapsort \\ Indirect Heaps \\ Advanced Implementations \\ 12: Mergesort \\ Merging \\ Mergesort \\ List Mergesort \\ Bottom-Up Mergesort \\ Performance Characteristics \\ Optimized Implementations \\ Recursion Revisited \\ 13: External Sorting \\ Sort-Merge \\ Balanced Multiway Merging \\ Replacement Selection \\ Practical Considerations \\ Polyphase Merging \\ An Easier Way \\ Searching Algorithms \\ 14: Elementary Searching Methods \\ Sequential Searching \\ Binary Search \\ Binary Tree Search \\ Deletion \\ Indirect Binary Search Trees \\ 15: Balanced Trees \\ Top-Down 2-3-4 Trees \\ Red-Black Trees \\ Other Algorithms \\ 16: Hashing \\ Hash Functions \\ Separate Chaining \\ Linear Probing \\ Double Hashing \\ Perspective \\ 17: Radix Searching \\ Digital Search Trees \\ Radix Search Tries \\ Multiway Radix Searching \\ Patricia \\ 18: External Searching \\ Indexed Sequential Access \\ B-Trees \\ Extendible Hashing \\ Virtual Memory \\ String Processing \\ 19: String Searching \\ A Short History \\ Brute-Force Algorithm \\ Knuth--Morris--Pratt Algorithm \\ Boyer--Moore Algorithm \\ Rabin--Karp Algorithm \\ Multiple Searches \\ 20: Pattern Matching \\ Describing Patterns \\ Pattern Matching Machines \\ Representing the Machine \\ Simulating the Machine \\ 21: Parsing \\ Context-Free Grammars \\ Top-Down Parsing \\ Bottom-Up Parsing \\ Compilers \\ Compiler-Compilers \\ 22: File Compression \\ Run-Length Encoding \\ Variable-Length Encoding \\ Building the Huffman Code \\ Implementation \\ 23: Cryptology \\ Rules of the Game \\ Simple Methods \\ Encryption/Decryption Machines \\ Public-Key Cryptosystems \\ Geometric Algorithms \\ 24: Elementary Geometric Methods \\ Points, Lines, and Polygons \\ Line Segment Intersection \\ Simple Closed Path \\ Inclusion in a Polygon \\ Perspective \\ 25: Finding the Convex Hull \\ Rules of the Game \\ Package-Wrapping \\ The Graham Scan \\ Interior Elimination \\ Performance Issues \\ 26: Range Searching \\ Elementary Methods \\ Grid Method \\ Two-Dimensional Trees \\ Multidimensional Range Searching \\ 27: Geometric Intersection \\ Horizontal and Vertical Lines \\ Implementation \\ General Line Intersection \\ 28: Closest-Point Problems \\ Closest-Pair Problem \\ Voronoi Diagrams \\ Graph Algorithms \\ 29: Elementary Graph Algorithms \\ Glossary \\ Representation \\ Depth-First Search \\ Nonrecursive Depth-First Search \\ Breadth-First Search \\ Mazes \\ Perspective \\ 30: Connectivity \\ Connected Components \\ Biconnectivity \\ Union-Find Algorithms \\ 31: Weighted Graphs \\ Minimum Spanning Tree \\ Priority-First Search \\ Kruskal's Method \\ Shortest Path \\ Minimum Spanning Tree and Shortest Paths in Dense Graphs \\ Geometric Problems \\ 32: Directed Graphs \\ Depth-First Search \\ Transitive Closure \\ All Shortest Paths \\ Topological Sorting \\ Strongly Connected Components \\ 33: Network Flow \\ The Network Flow Problem \\ Ford--Fulkerson Method \\ Network Searching \\ 34: Matching \\ Bipartite Graphs \\ Stable Marriage Problem \\ Advanced Algorithms \\ Mathematical Algorithms \\ 35: Random Numbers \\ Applications \\ Linear Congruential Method \\ Additive Congruential Method \\ Testing Randomness \\ Implementation Notes \\ 36: Arithmetic \\ Polynomial Arithmetic \\ Polynomial Evaluation and Interpolation \\ Polynomial Multiplication \\ Arithmetic Operations with Large Integers \\ Matrix Arithmetic \\ 37: Gaussian Elimination \\ A Simple Example \\ Outline of the Method \\ Variations and Extensions \\ 38: Curve Fitting \\ Polynomial Interpolation \\ Spline Interpolation \\ Method of Least Squares \\ 39: Integration \\ Symbolic Integration \\ Simple Quadrature Methods \\ Compound Methods \\ Adaptive Quadrature \\ Advanced Topics \\ 40: Parallel Algorithms \\ General Approaches \\ Perfect Shuffles \\ Systolic Arrays \\ Perspective \\ 41: The Fast Fourier Transform \\ Evaluate, Multiply, Interpolate \\ Complex Roots of Unity \\ Evaluation at the Roots of Unity \\ Interpolation at the Roots of Unity \\ Implementation \\ 42: Dynamic Programming \\ Knapsack Problem \\ Matrix Chain Product \\ Optimal Binary Search Trees \\ Time and Space Requirements \\ 43: Linear Programming \\ Linear Programs \\ Geometric Interpretation \\ The Simplex Method \\ Implementation \\ 44: Exhaustive Search \\ Exhaustive Search in Graphs \\ Backtracking \\ Digression: Permutation Generation \\ Approximation Algorithms \\ 45: NP-Complete Problems \\ Deterministic and Nondeterministic Polynomial-Time Algorithms \\ NP-Completeness \\ Cook's Theorem \\ Some NP-Complete Problems", } @Book{Sukharev:1992:MMT, author = "A. G. (Aleksei Grigor'evich) Sukharev and A. G. Sukharev", title = "Minimax models in the theory of numerical methods", volume = "21", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xiv + 256", year = "1992", ISBN = "0-7923-1821-8", ISBN-13 = "978-0-7923-1821-7", LCCN = "QA300 .S9613 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Translation of: Minimaksnye algoritmy v zadachakh chislennogo analiza. s.", series = "Theory and decision library. Series B, Mathematical and statistical methods", acknowledgement = ack-nhfb, keywords = "maxima and minima; numerical analysis", } @PhdThesis{Szilard:1992:NTD, author = "Ronaldo Henriques Szilard", title = "Numerical transport and diffusion methods in radiative transfer", type = "Thesis (Ph.D.)", school = "University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "xix + 252", year = "1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCLA --- Engineering", } @Book{Tang:1992:JF, author = "Zhen Tang and Jian Ming Jin and Zhi Jie Li", title = "Jisuan fangfa. ({Mandarin Chinese}) [{Calculation} Method]", publisher = "Gaodeng Jiaoyu Chubanshe (Higher Education Press)", address = "Beijing, People's Republic of China", pages = "viii + 398", year = "1992", ISBN = "7-04-003907-9", ISBN-13 = "978-7-04-003907-8", MRclass = "65-01", MRnumber = "1317817 (95i:65007)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Gaodeng Xuexiao Shiyong Jiaocai. [Trial Educational Materials for Advanced Schools]", acknowledgement = ack-nhfb, } @Book{Watson:1992:NAO, author = "K. K. Watson", title = "Numerical analysis of one dimensional soil water systems", number = "179", publisher = "University of New South Wales, Water Research Laboratory", address = "Australia", pages = "70", month = apr, year = "1992", ISBN = "0-85824-403-9", ISBN-13 = "978-0-85824-403-0", LCCN = "G8942 X-1 no.179", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Research report", acknowledgement = ack-nhfb, keywords = "numerical calculations --- computer programs; soil moisture --- measurement --- mathematical models -- computer programs; soil percolation --- mathematical models --- computer programs; zone of aeration -- mathematical models --- computer programs", } @Book{Woodford:1992:SLN, author = "Chris Woodford", title = "Solving linear and nonlinear equations", publisher = pub-ELLIS-HORWOOD, address = pub-ELLIS-HORWOOD:adr, pages = "190", year = "1992", ISBN = "0-13-830415-7", ISBN-13 = "978-0-13-830415-7", MRclass = "65-01 (65Fxx 65Hxx)", MRnumber = "1236843 (94f:65004)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Ellis Horwood Series: Mathematics and its Applications", acknowledgement = ack-nhfb, } @Book{Zhukov:1992:MFV, author = "A. I. Zhukov", title = "Metod {Fure} v vychislitelnoi matematike", publisher = pub-NAUKA, address = pub-NAUKA:adr, pages = "176", year = "1992", ISBN = "5-02-014885-7", ISBN-13 = "978-5-02-014885-7", MRclass = "65-01 (65Txx)", MRnumber = "1245274 (95c:65002)", MRreviewer = "Manfred Tasche", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Zwillinger:1992:HI, author = "Daniel Zwillinger", title = "Handbook of Integration", publisher = pub-A-K-PETERS, address = pub-A-K-PETERS:adr, pages = "xv + 367", year = "1992", ISBN = "0-86720-293-9, 1-4398-6584-1 (e-book)", ISBN-13 = "978-0-86720-293-9, 978-1-4398-6584-2 (e-book)", LCCN = "QA299.3 .Z85 1992", MRclass = "65D32, 26A42, 65-00, 65D30, 68W30, 28-01, 26-01", bibdate = "Sat Dec 24 15:53:15 MST 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/texbook2.bib", abstract = "This book is a compilation of the most important and widely applicable methods for evaluating and approximating integrals. It is an indispensable time saver for engineers and scientists needing to evaluate integrals in their work.", acknowledgement = ack-nhfb, bookformat = "Hardcover", category = "Professional \& Technical; Professional Science; Mathematics; Pure Mathematics; Calculus", DEWEY = "515.43 20", idnumber = "541", keywords = "Numerical integration", libnote = "Not in my library.", subject = "Numerical integration", tableofcontents = "Preface \\ Introduction \\ How to Use This Book \\ Part I: Applications of Integration \\ 1: Differential Equations: Integral Representations \\ 2: Differential Equations: Integral Transforms \\ 3: Extremal Problems \\ 4: Function Representation \\ 5: Geometric Applications \\ 6: MIT Integration Bee \\ 7: Probability \\ 8: Summations: Combinatorial \\ 9: Summations: Other \\ 10: Zeros of Functions \\ 11: Miscellaneous Applications \\ Part II: Concepts and Definitions \\ 12: Definitions \\ 13: Integral Definitions \\ 14: Caveats \\ 15: Changing Order of Integration \\ 16: Convergence of Integrals \\ 17: Exterior Calculus \\ 18: Feynman Diagrams \\ 19: Finite Part of Integrals \\ 20: Fractional Integration \\ 21: Liouville Theory \\ 22: Mean Value Theorems \\ 23: Path Integrals \\ 24: Principal Value Integrals \\ 25: Transforms: To a Finite Interval \\ 26: Transforms: Multidimensional Integrals \\ 27: Transforms: Miscellaneous \\ Part III: Exact Analytical Methods \\ 28: Change of Variable \\ 29: Computer Aided Solution \\ 30: Contour Integration \\ 31: Convolution Techniques \\ 32: Differentiation and Integration \\ 33: Dilogarithms \\ 34: Elliptic Integrals \\ 35: Frullanian Integrals . \\ 36: Functional Equations \\ 37: Integration by Parts \\ 38: Line and Surface Integrals \\ 39: Look Up Technique \\ 40: Special Integration Techniques \\ 41: Stochastic Integration \\ 42: Tables of Integrals \\ Part IV: Approximate Analytical Methods \\ 43: Asymptotic Expansions \\ 44: Asymptotic Expansions: Multiple Integrals \\ 45: Continued Fractions \\ 46: Integral Inequalities \\ 47: Integration by Parts \\ 48: Interval Analysis \\ 49: Laplace's Method \\ 50: Stationary Phase \\ 51: Steepest Descent \\ 52: Approximations: Miscellaneous \\ Part V: Numerical Methods: Concepts \\ 53: Introduction to Numerical Methods \\ 54: Numerical Definitions \\ 55: Error Analysis \\ 56: Romberg Integration / Richardson Extrapolation \\ 57: Software Libraries: Introduction \\ 58: Software Libraries: Taxonomy \\ 59: Software Libraries: Excerpts from GAMS \\ 60: Testing Quadrature Rules \\ 61: Truncating an Infinite Interval \\ Part VI: Numerical Methods: Techniques \\ 62: Adaptive Quadrature \\ 63: Clenshaw--Curtis Rules \\ 64: Compound Rules \\ 65: Cubic Splines \\ 66: Using Derivative Information \\ 67: Gaussian Quadrature \\ 68: Gaussian Quadrature: Generalized \\ 69: Gaussian Quadrature: Kronrod's Extension \\ 70: Lattice Rules \\ 71: Monte Carlo Method \\ 72: Number Theoretic Methods", } @Book{Adams:1993:SCA, author = "E. Adams and U. Kulisch", title = "Scientific Computing with Automatic Result Verification", volume = "189", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "x + 612", year = "1993", ISBN = "0-12-044210-8", ISBN-13 = "978-0-12-044210-2", LCCN = "QA76 .S368 1993", bibdate = "Tue Dec 14 22:57:19 1993", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/texbook2.bib", series = "Mathematics in Science and Engineering", acknowledgement = ack-nhfb, xxeditor = "William F. Ames", } @Book{Argyros:1993:TAI, author = "Ioannis K. Argyros and Ferenc Szidarovszky", title = "The theory and applications of iteration methods", publisher = pub-CRC, address = pub-CRC:adr, pages = "xii + 355", year = "1993", ISBN = "0-8493-8014-6", ISBN-13 = "978-0-8493-8014-3", LCCN = "QA297.8 .A74 1993", MRclass = "65-01 (47H17 65Hxx 65Jxx)", MRnumber = "1272012 (95b:65001)", bibdate = "Tue May 27 08:32:40 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Systems Engineering Series", URL = "http://www.loc.gov/catdir/enhancements/fy0744/93007173-d.html", acknowledgement = ack-nhfb, subject = "Iterative methods (Mathematics)", } @Book{Arulanandan:1993:VNP, author = "Kandiah Arulanandan and Ronald F. Scott", title = "Verification of numerical procedures for the analysis of soil liquefaction problems: proceedings of the International Conference on the Verification of Numerical Procedures for the Analysis of Soil Liquifaction Problems, Davis, California, {USA}, 17--20 October 1993", publisher = "A. A. Balkema", address = "Brookfield, VT, USA", pages = "xiv + 1801", year = "1993", ISBN = "90-5410-360-4 (set), 90-5410-361-2 (vol. 1), 90-5410-362-0 (vol. 2)", ISBN-13 = "978-90-5410-360-8 (set), 978-90-5410-361-5 (vol. 1), 978-90-5410-362-2 (vol. 2)", LCCN = "TA710 .V47 1993 v.1-2 (1993-1994)", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "The VELACS (VErification of Liquefaction Analysis by Centrifuge Studies) Project is sponsored by the National Science Foundation and involves the cooperative effort of seven universities. Contents: vol. 1. Experimental results and numerical predictions (Class A and B) --- vol. 2. [without special title].", acknowledgement = ack-nhfb, keywords = "centrifugation, density gradient --- congresses; sedimentation analysis --- instruments --- congresses; soil dynamics --- mathematical models --- congresses; soil liquefaction --- mathematics --- congresses", } @Book{Ashford:1993:CPL, editor = "Oliver M. Ashford and H. Charnock and P. G. Drazin and J. C. R. Hunt and P. Smoker and Ian Sutherland", title = "Collected Papers of {Lewis Fry Richardson}. {Volume} 1: {Meteorology} and Numerical Analysis", publisher = pub-CAMBRIDGE, address = "????", pages = "xiv + 1016", year = "1993", ISBN = "0-521-38297-1", ISBN-13 = "978-0-521-38297-7", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", mynote = "Huge book. Article by Fox `Numerical Analysis', pp. 36-44 (his last article). But nothing of interest in whole book.", } @Book{Atkinson:1993:ENA, author = "Kendall E. Atkinson", title = "Elementary numerical analysis", publisher = pub-WILEY, address = pub-WILEY:adr, edition = "Second", pages = "xiii + 425", year = "1993", ISBN = "0-471-50999-X", ISBN-13 = "978-0-471-50999-8", LCCN = "QA297 .A831 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Avram:1993:NAR, author = "Constantin Avram", title = "Numerical analysis of reinforced concrete structures", volume = "41", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "xi + 508", year = "1993", ISBN = "0-444-98842-4", ISBN-13 = "978-0-444-98842-3", LCCN = "TA683.2 .S7713 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Rev., extended, and updated translation of: \booktitle{Structuri din beton armat}.", series = "Developments in civil engineering", acknowledgement = ack-nhfb, keywords = "reinforced concrete construction", } @Book{Boehm:1993:NM, author = "Wolfgang Boehm and Hartmut Prautzsch", title = "Numerical methods", publisher = pub-VIEWEG # " and " # pub-A-K-PETERS, address = pub-VIEWEG:adr # " and " # pub-A-K-PETERS:adr, pages = "x + 186", year = "1993", ISBN = "3-528-06350-5, 1-56881-020-2", ISBN-13 = "978-3-528-06350-4, 978-1-56881-020-1", LCCN = "QA297 .B58 1993", MRclass = "65-01", MRnumber = "1249479 (94i:65001)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @PhdThesis{Bonnier:1993:TMN, author = "Paul Godfried Bonnier", title = "Testing, modelling and numerical analysis of the mechanical behaviour of bituminous concrete", type = "Thesis (Ph.D.)", school = "Technische Universiteit Delft", address = "Delft, The Netherlands", pages = "157", year = "1993", LCCN = "PB94-189016 Microfiche", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Includes Dutch abstract.", acknowledgement = ack-nhfb, keywords = "pavements, asphalt concrete --- design and construction; pavements, asphalt concrete --- testing; pavements, flexible --- design and construction", } @Book{Breitschuh:1993:FEM, author = "Ulrich Breitschuh and Ronald Jurisch", title = "{Die Finite-Element-Methode}. ({German}) [{The} Finite-Element Method]", publisher = pub-AKADEMIE-VERLAG, address = pub-AKADEMIE-VERLAG:adr, pages = "270", year = "1993", ISBN = "3-05-501571-1", ISBN-13 = "978-3-05-501571-7", MRclass = "65-01 (65M60 65N30)", MRnumber = "1237396 (94d:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Theorie, Praxis und Programmierung auf Personalcomputern. [Theory, practice and programming on personal computers]", acknowledgement = ack-nhfb, language = "German", } @Book{Breuer:1993:NML, author = "Shlomo Breuer and Gideon Zwas", title = "Numerical mathematics --- a laboratory approach", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xiv + 267", year = "1993", ISBN = "0-521-44040-8", ISBN-13 = "978-0-521-44040-0", MRclass = "65-01", MRnumber = "1238936 (94e:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Bulirsch:1993:OCC, author = "Roland Bulirsch", title = "Optimal control: calculus of variations, optimal control theory, and numerical methods", volume = "111", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xiii + 349", year = "1993", ISBN = "3-7643-2887-8 (Basel), 0-8176-2887-8 (Boston)", ISBN-13 = "978-3-7643-2887-0 (Basel), 978-0-8176-2887-1 (Boston)", LCCN = "QA315 .O68 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Based on a conference optimal control-variationsrechnung und optimalsteuerungen which was held at the Mathematisches Forschungsinstitut of the University of Freiburg during the period May 23 to June 1, 1991.", series = "International series of numerical mathematics", acknowledgement = ack-nhfb, keywords = "calculus of variations --- congresses; control theory --- congresses; mathematical optimization -- congresses", } @Book{Burden:1993:NA, author = "Richard L. Burden and J. Douglas Faires", title = "Numerical analysis", publisher = pub-PWS-KENT, address = pub-PWS-KENT:adr, edition = "Fifth", pages = "xiv + 768", year = "1993", ISBN = "0-534-93219-3", ISBN-13 = "978-0-534-93219-0", LCCN = "QA297 .B84 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Prindle, Weber and Schmidt series in mathematics", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Burmin:1993:MCO, author = "V. Iu. (Valerii Iur'evich) Burmin", title = "Metody chislennogo obrashcheniia godografov seismicheskikh voln", publisher = pub-NAUKA, address = pub-NAUKA:adr, pages = "108", year = "1993", ISBN = "5-02-002289-6", ISBN-13 = "978-5-02-002289-8", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Nauchnoe izdanie. At head of title: Rossiiskaia Akademiia nauk. Ordena Lenina Institut fiziki Zemli im. O.IU. Shmidta. Title on verso of t.p.: Methods of numerical inversion travel-time curves of seismic waves. Summary and table of contents also in English.", acknowledgement = ack-nhfb, keywords = "seismic waves; seismometry", } @PhdThesis{Cha:1993:NAH, author = "Ellis Taeho Cha", title = "Numerical analysis of head-disk assembly dynamics for shaped-rail sliders with sub-ambient pressure regions", type = "Thesis (Ph.D.) in Mechanical Engineering", school = "University of California, Berkeley", address = "Berkeley, CA, USA", pages = "vii + 148", month = may, year = "1993", LCCN = "TK7881.6 .C53 1993a; T7.6.1993 C523", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "friction --- computer simulation; lubrication and lubricants; magnetic disks; magnetic recorders and recording --- heads; University of California, Berkeley. Dept. of Mechanical Engineering --- dissertations, academic --- UCB --- Mechanical Engineering -- 1991--2000", } @Book{Chaitin-Chatelin:1993:EM, author = "Fran{\eth}coise Chaitin-Chatelin and Mario Ahu{\'e}s", title = "Eigenvalues of matrices", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xviii + 382", year = "1993", ISBN = "0-471-93538-7", ISBN-13 = "978-0-471-93538-4", LCCN = "QA188 .C44 1993", bibdate = "Tue May 27 08:33:25 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", price = "US\$60.80", series = "Pure and applied mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0707/93003430-d.html; http://www.loc.gov/catdir/toc/onix04/93003430.html", acknowledgement = ack-nhfb, subject = "Matrices; Eigenvalues", } @Book{Champion:1993:NME, author = "Edward R. {Champion, Jr.}", title = "Numerical methods for engineering applications", volume = "84", publisher = pub-DEKKER, address = pub-DEKKER:adr, pages = "xv + 442", year = "1993", ISBN = "0-8247-9135-5", ISBN-13 = "978-0-8247-9135-3", LCCN = "TA335 .C48 1993", MRclass = "65-01", MRnumber = "1268403", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Mechanical Engineering", acknowledgement = ack-nhfb, keywords = "engineering mathematics --- data processing; numerical analysis --- data processing", } @Book{Chatelin:1993:EM, author = "Fran{\c{c}}oise Chatelin", title = "Eigenvalues of Matrices", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xviii + 382", year = "1993", ISBN = "0-471-93538-7", ISBN-13 = "978-0-471-93538-4", LCCN = "QA188 .C44 1993", MRclass = "65-01 (15A18 65F15 65F50)", MRnumber = "1232655 (94d:65002)", bibdate = "Fri Nov 21 06:49:56 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "With exercises by Mario Ahu{\'e}s and the author, Translated from the French and with additional material by Walter Ledermann", series = "Pure and applied mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0707/93003430-d.html; http://www.loc.gov/catdir/toc/onix04/93003430.html", acknowledgement = ack-nhfb # " and " # ack-rah, subject = "Matrices; Eigenvalues", tableofcontents = "Preface / xi \\ Preface to the English Edition / xv \\ Notation / xvii \\ 1: Supplements from Linear Algebra / 1 \\ 1.1 Notation and definitions / 1 \\ 1.2 The canonical angles between two subspaces / 5 \\ 1.3 Projections / 8 \\ 1.4 The gap between two subspaces / 10 \\ 1.5 Convergence of a sequence of subspaces / 14 \\ 1.6 Reduction of Square matrices / 18 \\ 1.7 Spectral decomposition / 27 \\ 1.8 Rank and linear independence / 31 \\ 1.9 Hermitian and normal matrices / 32 \\ 1.10 Non-negative matrices / 33 \\ 1.11 Sections and Rayleigh quotients / 34 \\ 1.12 Sylvester's equation / 35 \\ 1.13 Regular pencils of matrices / 42 \\ 1.14 Bibliographical comments / 43 \\ Exercises / 43 \\ 2: Elements of Spectral Theory / 61 \\ 2.1 Revision of some properties of functions of a complex variable / 61 \\ 2.2 Singularities of the resolvent / 63 \\ 2.3 The reduced resolvent and the partial inverse / 73 \\ 2.4 The block-reduced resolvent / 76 \\ 2.5 Linear perturbations of the matrix A / 79 \\ 2.6 Analyticity of the resolvent / 82 \\ 2.7 Analyticity of the spectral projection / 84 \\ 2.8 The Rellich--Kato expansions / 85 \\ 2.9 The Rayleigh--Schr{\"o}dinger expansions / 86 \\ 2.10 Non-linear equation and Newton's method / 89 \\ 2.11 Modified methods / 92 \\ 2.12 The local approximate inverse and the method of residual correction / 95 \\ 2.13 Bibliographical comments / 98 \\ Exercises / 98 \\ 3: Why Compute Eigenvalues? / 111 \\ 3.1 Differential equations and difference equations / 111 \\ 3.2 Markov chains / 114 \\ 3.3 Theory of economics / 117 \\ 3.4 Factorial analysis of data / 119 \\ 3.5 The dynamics of structures / 120 \\ 3.6 Chemistry / 122 \\ 3.7 Fredholm's integral equation / 124 \\ 3.8 Bibliographical comments / 126 \\ Exercises / 126 \\ 4: Error Analysis / 149 \\ 4.1 Revision of the conditioning of a System / 149 \\ 4.2 Stability of a spectral problem / 150 \\ 4.3 A priori analysis of errors / 165 \\ 4.4 A posteriori analysis of errors / 170 \\ 4.5 A is almost diagonal / 177 \\ 4.6 A is Hermitian / 180 \\ 4.7 Bibliographical comments / 190 \\ Exercises / 191 \\ 5: Foundations of Methods for Computing Eigenvalues / 205 \\ 5.1 Convergence of a Krylov sequence of subspaces / 205 \\ 5.2 The method of subspace iteration / 208 \\ 5.3 The power method / 213 \\ 5.4 The method of inverse iteration / 217 \\ 5.5 The $Q R$ algorithm / 221 \\ 5.6 Hermitian matrices / 226 \\ 5.7 The $Q Z$ algorithm / 226 \\ 5.8 Newton's method and the Rayleigh quotient iteration / 227 \\ 5.9 Modified Newton's method and simultaneous inverse iterations / 228 \\ 5.10 Bibliographical comments / 235 \\ Exercises / 235 \\ 6: Numerical Methods for Large Matrices / 251 \\ 6.1 The principle of the methods / 251 \\ 6.2 The method of subspace iteration revisited / 253 \\ 6.3 The Lanczos method / 257 \\ 6.4 The block Lanczos method / 266 \\ 6.5 The generalized problem $K x = I M x$ / 270 \\ 6.6 Arnoldi's method / 272 \\ 6.7 Oblique projections / 279 \\ 6.8 Bibliographical comments / 280 \\ Exercises / 281 \\ 7: Chebyshev's Iterative Methods / 293 \\ 7.1 Elements of the theory of uniform approximation for a compact set in C / 293 \\ 7.2 Chebyshev polynomials of a real variable / 299 \\ 7.3 Chebyshev polynomials of a complex variable / 300 \\ 7.4 The Chebyshev acceleration for the power method / 304 \\ 7.5 The Chebyshev iteration method / 305 \\ 7.6 Simultaneous Chebyshev iterations (with projection) / 308 \\ 7.7 Determination of the optimal parameters / 311 \\ 7.8 Least Squares polynomials on a polygon / 312 \\ 7.9 The hybrid methods of Saad / 314 \\ 7.10 Bibliographical comments / 316 \\ Exercises / 316 \\ Appendices / 323 \\ A Solution to Exercises / 323 \\ B References for Exercises / 367 \\ C References / 371 \\ Index / 378", } @Book{Deuflhard:1993:NM, author = "Peter Deuflhard and Andreas Hohmann", title = "{Numerische Mathematik}. {I}. ({German}) [{Numerical} mathematics. {I}]", publisher = pub-GRUYTER, address = pub-GRUYTER:adr, edition = "Second", pages = "xvi + 371", year = "1993", ISBN = "3-11-013975-8; 3-11-013974-X", ISBN-13 = "978-3-11-013975-4; 978-3-11-013974-7", MRclass = "65-01", MRnumber = "1270205 (94m:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Eine algorithmisch orientierte Einf{\"u}hrung. [An algorithmically oriented introduction]", series = "de Gruyter Lehrbuch. [de Gruyter Textbook]", acknowledgement = ack-nhfb, language = "German", } @Book{Evans:1993:PNI, author = "Gwynne Evans", title = "Practical numerical integration", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xii + 328", year = "1993", ISBN = "0-471-93898-X", ISBN-13 = "978-0-471-93898-9", LCCN = "QA299.3 .E93 1993", MRclass = "65-01", MRnumber = "1245265 (94k:65001)", MRreviewer = "C. Dagnino", bibdate = "Tue May 27 08:33:29 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", price = "US\$63.75", acknowledgement = ack-nhfb, subject = "Numerical integration", } @Book{Faires:1993:NM, author = "J. Douglas Faires and Richard L. Burden", title = "Numerical methods", publisher = pub-PWS-KENT, address = pub-PWS-KENT:adr, pages = "xiii + 503", year = "1993", ISBN = "0-534-93136-7", ISBN-13 = "978-0-534-93136-0", LCCN = "QA297 .F35 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "System requirements for computer disk: IBM PC or compatible; PC DOS or MS DOS; Pascal or FORTRAN compiler. s.", series = "Prindle, Weber and Schmidt series in mathematics", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Gander:1993:SPS, author = "Walter Gander and Ji{\v{r}}i H{\v{r}}eb{\'\i}{\v{c}}ek", title = "Solving Problems in Scientific Computing Using {MAPLE} and {MATLAB}", publisher = pub-SV, address = pub-SV:adr, pages = "xiii + 268", year = "1993", ISBN = "0-387-57329-1, 3-540-57329-1", ISBN-13 = "978-0-387-57329-8, 978-3-540-57329-6", LCCN = "Q183.9 .G36 1993", bibdate = "Fri Aug 19 00:32:19 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "MAPLE (computer file); MATLAB; science --- data processing", } @Book{Glassey:1993:NCU, author = "Robert Glassey", title = "Numerical Computation Using {C}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "vii + 283", year = "1993", ISBN = "0-12-286155-8", ISBN-13 = "978-0-12-286155-0", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", } @Book{Goede:1993:NMT, author = "E. D. de Goede", title = "Numerical methods for the three-dimensional shallow water equations on supercomputers", volume = "88", publisher = pub-CWI, address = pub-CWI:adr, pages = "124", year = "1993", ISBN = "90-6196-417-2", ISBN-13 = "978-90-6196-417-9", LCCN = "QA297 .G63 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "CWI tract", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Goering:1993:FEM, author = "Herbert Goering and Hans-G{\"o}rg Roos and Lutz Tobiska", title = "{Finite-Element-Methode}. ({German}) [{Finite}-Element Method]", publisher = pub-AKADEMIE-VERLAG, address = pub-AKADEMIE-VERLAG:adr, edition = "Third", pages = "252", year = "1993", ISBN = "3-05-501564-9", ISBN-13 = "978-3-05-501564-9", MRclass = "65-01 (65M60 65N30)", MRnumber = "1230386 (94c:65002)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Eine Einf{\"u}hrung. [An introduction]", acknowledgement = ack-nhfb, language = "German", } @Manual{Gokoglu:1993:NAI, author = "Suleyman A. Gokoglu", title = "Numerical analysis of an impinging jet reactor for the {CVD} and gas-phase nucleation of titania", number = "106619", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1993", LCCN = "NAS 1.15:106619 Government Information Microfiche", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 94-0808-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1994] 1 microfiche.", series = "NASA technical memorandum", acknowledgement = ack-nhfb, keywords = "titanium", } @Book{Golub:1993:SCI, author = "Gene H. (Gene Howard) Golub and James M. Ortega", title = "Scientific Computing: An Introduction with Parallel Computing", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "x + 442", year = "1993", ISBN = "0-12-289253-4", ISBN-13 = "978-0-12-289253-0", LCCN = "QA76.58 .G64 1993", MRclass = "65-01 (65Y05)", MRnumber = "94c:65003", bibdate = "Mon Oct 24 10:35:29 MDT 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.jstor.org/stable/2153127; http://www.loc.gov/catdir/description/els032/93009408.html; http://www.loc.gov/catdir/toc/els032/93009408.html", abstract = "This book introduces the basic concepts of parallel and vector computing in the context of an introduction to numerical methods. It contains chapters on parallel and vector matrix multiplication and solution of linear systems by direct and iterative methods. It is suitable for advanced undergraduate and beginning graduate courses in computer science, applied mathematics, and engineering. Ideally, students will have access to a parallel or Vector computer, but the material can be studied profitably in any case.", acknowledgement = ack-nhfb, author-dates = "Gene Howard Golub (February 29, 1932--November 16, 2007)", keywords = "Parallel processing (Electronic computers); Parallel programming; Vector processing (Computer science)", remark = "See review by H. J. S, Mathematics of Computation, Vol. 60, No. 202 (Apr., 1993), p. 849.", shorttableofcontents = "1: The World of Scientific Computing \\ 2: Linear Algebra \\ 3: Parallel and Vector Computing \\ 4: Polynomial Approximation \\ 5: Continuous Problems Solved Discretely \\ 6: Direct Solution of Linear Equations \\ 7: Parallel Direct Methods \\ 8: Iterative Methods \\ 9: Conjugate Gradient-Type Methods \\ Bibliography \\ Author Index \\ Subject Index", subject = "Parallel processing (Electronic computers); Vector processing (Computer science)", tableofcontents = "Preface / ix \\ 1: The World of Scientific Computing / 1 \\ 1.1 What Is Scientific Computing? / 1 \\ 1.2 Mathematical Modeling / 3 \\ 1.3 The Process of Numerical Solution / 6 \\ 1.4 The Computational Environment / 11 \\ 2: Linear Algebra / 15 \\ 2.1 Matrices and Vectors / 15 \\ 2.2 Eigenvalues and Canonical Forms / 28 \\ 2.3 Norms / 39 \\ 3: Parallel and Vector Computing / 49 \\ 3.1 Parallel and Vector Computers / 49 \\ 3.2 Basic Concepts of Parallel Computing / 62 \\ 3.3 Matrix Multiplication / 71 \\ 4: Polynomial Approximation / 91 \\ 4.1 Taylor Series, Interpolation and Splines / 91 \\ 4.2 Least Squares Approximation / 106 \\ 4.3 Application to Root-Finding / 117 \\ 5: Continuous Problems Solved Discretely / 137 \\ 5.1 Numerical Integration / 137 \\ 5.2 Initial Value Problems / 150 \\ 5.3 Boundary Value Problems / 173 \\ 5.4 Space and Time / 191 \\ 5.5 The Curse of Dimensionality / 202 \\ 6: Direct Solution of Linear Equations / 215 \\ 6.1 Gaussian Elimination / 215 \\ 6.2 Errors in Gaussian Elimination / 236 \\ 6.3 Other Factorizations / 257 \\ 7: Parallel Direct Methods / 275 \\ 7.1 Basic Methods / 275 \\ 7.2 Other Organizations of Factorization / 294 \\ 7.3 Banded and Tridiagonal Systems / 302 \\ 8: Iterative Methods / 321 \\ 8.1 Relaxation-Type Methods / 321 \\ 8.2 Parallel and Vector Implementations / 333 \\ 8.3 The Multigrid Method / 353 \\ 9: Conjugate Gradient-Type Methods / 371 \\ 9.1 The Conjugate Gradient Method / 371 \\ 9.2 Preconditioning / 381 \\ 9.3 Nonsymmetric and Nonlinear Problems / 397 \\ Bibliography / 413 \\ Author Index / 429 \\ Subject Index / 435", } @MastersThesis{Gu:1993:NMS, author = "Yunyun Gu", title = "Numerical methods for singular integration", type = "Thesis (M.S.) in Applied Mathematics", school = "University of California, Davis", address = "Davis, CA, USA", pages = "51", year = "1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- University of California, Davis --- applied; mathematics", } @Book{Hammer:1993:NTV, author = "R. Hammer and M. Hocks and U. Kulisch and D. Ratz", title = "Numerical Toolbox for Verified Computing. {I}: Basic Numerical Problems --- Theory, Algorithms, and {Pascal-XSC} Programs", volume = "21", publisher = pub-SV, address = pub-SV:adr, pages = "various", year = "1993", ISBN = "3-540-57118-3 (Berlin), 0-387-57118-3 (New York)", ISBN-13 = "978-3-540-57118-6 (Berlin), 978-0-387-57118-8 (New York)", LCCN = "QA300 .N86 1993", bibdate = "Tue Dec 02 12:56:44 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Springer series in computational mathematics", acknowledgement = ack-nhfb, } @Book{Hardle:1993:CIM, editor = "Wolfgang H{\"a}rdle and L{\'e}opold Simar", title = "Computer Intensive Methods in Statistics", publisher = pub-PHYSICA-VERLAG, address = pub-PHYSICA-VERLAG:adr, pages = "vii + 176", year = "1993", DOI = "https://doi.org/10.1007/978-3-642-52468-4", ISBN = "3-7908-0677-3", ISBN-13 = "978-3-7908-0677-9", LCCN = "QA273.A1-274.9; QA274-274.9", bibdate = "Tue Apr 29 18:44:55 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/probstat1990.bib; prodorbis.library.yale.edu:7090/voyager", series = "Statistics and Computing", ISSN = "1431-8784", ISSN-L = "1431-8784", abstract = "The computer has created new fields in statistics. Numerical and statistical problems that were unattackable five to ten years ago can now be computed even on portable personal computers. A computer intensive task is for example the numerical calculation of posterior distributions in Bayesian analysis. The Bootstrap and image analysis are two other fields spawned by the almost unlimited computing power. It is not only the computing power through that has revolutionized statistics, the graphical interactiveness on modern statistical environments has given us the possibility for deeper insight into our data. This volume discusses four subjects in computer intensive statistics as follows: - Bayesian Computing - Interfacing Statistics - Image Analysis - Resampling Methods.", acknowledgement = ack-nhfb, subject = "Mathematics; Distribution (Probability theory); Statistics; Economics", } @PhdThesis{Hibbs:1993:NMH, author = "Barry Joseph Hibbs", title = "Numerical modeling and hydrologic analysis of floodplain hydrogeology, back storage interactions, and underflow in the {Colorado River} alluvial aquifer", type = "Thesis (Ph.D.)", school = "University of Texas at Austin", address = "Austin, TX, USA", pages = "xiii + 329", year = "1993", LCCN = "G248 N3-4", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "alluvium --- Texas --- Colorado River watershed -- mathematical models; aquifers --- Texas --- Colorado River watershed --- mathematical models; Colorado River Watershed (Texas) --- mathematical models; groundwater --- Texas --- Colorado river watershed --- mathematical models; hydrogeology --- Texas --- Colorado River watershed --- mathematical models", } @Book{Honerkamp:1993:SDS, author = "J. Honerkamp", title = "Stochastic dynamical systems: concepts, numerical methods, data analysis", publisher = pub-VCH, address = pub-VCH:adr, pages = "xiii + 226", year = "1993", ISBN = "1-56081-563-9", ISBN-13 = "978-1-56081-563-1", LCCN = "QA274.H6613 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "stochastic processes", } @Book{Hromadka:1993:BAM, author = "Theodore V. {Hromadka, II}", title = "The best approximation method in computational mechanics", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 250", year = "1993", DOI = "https://doi.org/10.1007/978-1-4471-2020-9", ISBN = "3-540-19798-2 (Berlin), 0-387-19798-2 (New York)", ISBN-13 = "978-3-540-19798-0 (Berlin), 978-0-387-19798-2 (New York)", LCCN = "QA320 .H76 1993", MRclass = "65-01 (65E05 73V99 76M99)", MRnumber = "1240747 (94i:65002)", MRreviewer = "P. Rochus", bibdate = "Tue May 27 08:33:33 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Functional analysis", } @Book{Ionescu:1993:FNM, author = "Ioan R. Ionescu and Mircea Sofonea", title = "Functional and numerical methods in viscoplasticity", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xvii + 265", year = "1993", ISBN = "0-19-853590-2", ISBN-13 = "978-0-19-853590-4", LCCN = "QA931 .I55 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$67.50", series = "Oxford science publications", acknowledgement = ack-nhfb, keywords = "viscoplasticity", } @Book{James:1993:ANM, author = "M. L. James and G. M. Smith and J. C. Wolford", title = "Applied Numerical Methods for Digital Computation", publisher = pub-HARPERCOLLINS, address = pub-HARPERCOLLINS:adr, edition = "Fourth", pages = "x + 709", year = "1993", ISBN = "0-06-500494-9", ISBN-13 = "978-0-06-500494-6", LCCN = "QA297.J3 1993", bibdate = "Fri Sep 26 18:40:50 MDT 1997", bibsource = "http://www.amazon.com/exec/obidos/ISBN=0065004949/wholesaleproductA/; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$87.41", acknowledgement = ack-nhfb, } @Book{Keller:1993:NMT, author = "Herbert B. Keller", title = "Numerical Methods for Two-Point Boundary-Value Problems", publisher = pub-DOVER, address = pub-DOVER:adr, pages = "xii + 397", year = "1993", ISBN = "0-486-66925-4", ISBN-13 = "978-0-486-66925-0", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Corrected and expanded republication of work first published by Blaisdell, Waltham, MA, 1964", } @Book{Kincaid:1993:SMN, author = "David Kincaid and Ward Cheney", title = "Solution Manual for Numerical Analysis: Mathematics of Scientific Computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "219", year = "1993", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", } @Book{Klatte:1993:CXC, author = "Rudi Klatte and U. Kulisch and C. Lawo and M. Rauch and A. Wiethoff", title = "{C-XSC}: a {C++} class library for extended scientific computing", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 269", year = "1993", ISBN = "3-540-56328-8 (Berlin), 0-387-56328-8 (New York)", ISBN-13 = "978-3-540-56328-0 (Berlin), 978-0-387-56328-2 (New York)", LCCN = "QA76.73.C153 C9 1993", bibdate = "Wed Apr 11 07:05:39 MDT 2012", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", price = "DM74.00", acknowledgement = ack-nhfb, remark = "This book is a translation by G. F. Corliss and others of an unpublished German manuscript.", subject = "C++ (Computer program language); C-XSC", } @Book{Knupp:1993:FGG, author = "Patrick M. Knupp and Stanly Steinberg", title = "The fundamentals of grid generation", publisher = pub-CRC, address = pub-CRC:adr, pages = "xvii + 286", year = "1993", ISBN = "0-8493-8987-9", ISBN-13 = "978-0-8493-8987-0", LCCN = "QA377 .K58 1993", bibdate = "Tue May 27 08:34:32 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0646/93011639-d.html", acknowledgement = ack-nhfb, remark = "System requirements for computer disk: IBM-compatible PC; DOS; Fortran.", subject = "Numerical grid generation (Numerical analysis)", } @Book{Konovalov:1993:VVV, author = "A. N. Konovalov", title = "Vvedenie v vychislitelnye metody lineinoi algebry. ({Russian}) [{Introduction} to computational methods of linear algebra]", publisher = "VO ``Nauka''", address = "Novosibirsk, Russia", pages = "159", year = "1993", ISBN = "5-02-030307-0", ISBN-13 = "978-5-02-030307-2", MRclass = "65-01 (15-01 65Fxx)", MRnumber = "1247701 (95a:65002)", MRreviewer = "Zahari Zlatev", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Russian", } @Book{Laevskii:1993:MKE, author = "Yu. M. Laevski{\u\i}", title = "Metod konechnykh elementov resheniya mnogomernykh parabolicheskikh uravnenii. ({Russian}) [{Finite}-element method for solving multidimensional parabolic equations]", publisher = "Novosibirsk. Gos. Univ.", address = "Novosibirsk, Russia", pages = "104", year = "1993", ISBN = "5-230-13543-3", ISBN-13 = "978-5-230-13543-2", MRclass = "65-01 (65M55 65M60)", MRnumber = "1449138 (97m:65004)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Russian", } @Manual{Lamb:1993:IHR, author = "Susan A. Lamb", title = "{IRAS} high resolution studies and modeling of closely interacting galaxies: galaxy collisions:infrared observations and analysis of numerical models and {UV} spectroscopy of massive young stellar populations in interacting galaxies", number = "NASA CR-194483", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1993", LCCN = "NAS 1.26:194483 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 94-0111-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1994] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "galaxies", } @PhdThesis{LeBorne:1993:NAP, author = "Richard Charles LeBorne", title = "Numerical analysis of the a posteriori recursive least squares lattice prediction algorithm", type = "Thesis (Ph.D.)", school = "Department of Mathematics, University of California, San Diego", address = "San Diego, CA, USA", pages = "xii + 90", year = "1993", LCCN = "QA 3.6 .L43 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCSD --- mathematics", } @PhdThesis{Liu:1993:NHO, author = "Xu-Dong Liu", title = "Nonoscillatory high order methods for the numerical solution of conservation laws", type = "Thesis (Ph.D.)", school = "University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "viii + 107", year = "1993", LCCN = "LD 791.9 M2 L743 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCLA --- mathematics", } @Book{Nakamura:1993:ANM, author = "Shoichiro Nakamura", title = "Applied numerical methods in {C}", publisher = pub-PHPTR, address = pub-PHPTR:adr, pages = "xiv + 604", year = "1993", ISBN = "0-13-042052-2", ISBN-13 = "978-0-13-042052-7", LCCN = "QA76.73.C15 N35 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "C (computer program language); numerical analysis", } @Book{Napolitano:1993:TIC, author = "M. Napolitano and F. Sabetta", title = "Thirteenth International Conference on Numerical Methods in Fluid Dynamics: proceedings of the conference held at the Consiglio Nazionale delle Ricerche, Rome, Italy, 6--10 July 1992", volume = "414", publisher = pub-SV, address = pub-SV:adr, pages = "xiv + 541", year = "1993", ISBN = "3-540-56394-6 (Berlin), 0-387-56394-6 (U.S.)", ISBN-13 = "978-3-540-56394-5 (Berlin), 978-0-387-56394-7 (U.S.)", LCCN = "QA911 .I58 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lecture notes in physics", acknowledgement = ack-nhfb, keywords = "fluid dynamics --- congresses; numerical analysis -- congresses", } @Book{Opfer:1993:NMA, author = "Gerhard Opfer", title = "{Numerische Mathematik f{\"u}r Anf{\"a}nger}. ({German}) [{Numerical} Methods for Beginners]", volume = "65", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "xiv + 288", year = "1993", ISBN = "3-528-07265-2", ISBN-13 = "978-3-528-07265-0", MRclass = "65-01", MRnumber = "1215270 (94e:65002)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Vieweg Studium: Grundkurs Mathematik [Vieweg Studies: Basic Mathematics Course]", acknowledgement = ack-nhfb, language = "German", } @Book{Press:1993:NRFb, author = "William H. Press", title = "Numerical recipes in {FORTRAN}", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, edition = "2nd, v2.0", pages = "1 computer disk", year = "1993", ISBN = "0-521-43716-4", ISBN-13 = "978-0-521-43716-5", LCCN = "QA297.N866 1992", bibdate = "Sat Jan 27 13:40:57 MST 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Title from disk label. Copyrighted by Numerical Recipes Software. Designed for use in conjunction with the books: Numerical recipes in FORTRAN: the art of scientific computing / William H. Press \ldots{} [et al.]. 2nd ed. and Numerical recipes example book (FORTRAN) / William T. Vetterling \ldots{} [et. al]. 2nd ed. Cambridge [England]: Cambridge University Press, c1992. A collection of routines, written in FORTRAN, for use in numerical analysis programs. System requirements: Apple Macintosh; FORTRAN compiler; 800K 3 1/2 in. floppy disk drive. Macintosh FORTRAN.", keywords = "Numerical analysis --- Software.; {Fortran} (Computer program language) --- Software", } @Book{Prusakov:1993:MMM, author = "G. M. (Grigori\?i Moiseevich) Prusakov", title = "Matematicheskie modeli i metody v raschetakh na {{\c{c}}EVM}. ({Russian}) [{Mathematical} models and methods in computer calculations]", publisher = "Fizmatlit ``Nauka''", address = "Moscow, Russia", pages = "141", year = "1993", ISBN = "5-02-015138-6", ISBN-13 = "978-5-02-015138-3", LCCN = "QA76.9.M35 P78 1993", MRclass = "65-01", MRnumber = "1478424", bibdate = "Tue May 27 08:33:39 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, language = "Russian", remark = "``Nauchnoe izdanie''--Colophon.", subject = "Mathematical models; Computer science; Mathematics", } @Manual{Rengarajan:1993:CSN, author = "Govind Rengarajan and Norman F. Knight and Mohammad A. Aminpour", title = "Comparison of symbolic and numerical integration methods for an assumed-stress hybrid shell element", number = "NASA CR-195945", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1993", LCCN = "NAS 1.26:195945 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 95-0048-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1994] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "finite element method; measure and integration; shells (structural forms); structural analysis", } @Book{Rice:1993:NMS, author = "John Rischard Rice", title = "Numerical methods, software, and analysis", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, edition = "Second", pages = "xiv + 720", year = "1993", ISBN = "0-12-587755-2", ISBN-13 = "978-0-12-587755-8", LCCN = "QA297 .R49 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis --- data processing", } @Book{Richardson:1993:MNA, author = "Lewis Fry Richardson and P. G. Drazin", title = "Meteorology and numerical analysis", volume = "1", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xiv + 1016", year = "1993", ISBN = "0-521-38297-1", ISBN-13 = "978-0-521-38297-7", LCCN = "QC861.2 .R4725 1993 Floor 3", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Collected papers of Lewis Fry Richardson", acknowledgement = ack-nhfb, keywords = "meteorology; numerical analysis", } @Book{Schwarz:1993:NM, author = "Hans-Rudolf Schwarz", title = "{Numerische Mathematik}. ({German}) [{Numerical} mathematics]", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, edition = "Third", pages = "575", year = "1993", ISBN = "3-519-22960-9", ISBN-13 = "978-3-519-22960-5", MRclass = "65-01", MRnumber = "1231569 (94b:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "With a contribution by J{\"o}rg Waldvogel", acknowledgement = ack-nhfb, language = "German", } @Book{Skeel:1993:ENC, author = "Robert D. Skeel and Jerry B. Keiper", title = "Elementary Numerical Computing with {Mathematica}", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xiv + 434", year = "1993", ISBN = "0-07-057820-6", ISBN-13 = "978-0-07-057820-3", LCCN = "QA297 .S545 1993", bibdate = "Sun May 02 08:01:45 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "See \cite{Skeel:1995:ENC}.", series = "McGraw-Hill computer science series", acknowledgement = ack-nhfb, keywords = "Mathematica (Computer file); Numerical analysis --- Data processing; Numerical analysis --- Use of --- Computers", } @Book{Smith:1993:NMI, author = "H. V. Smith", title = "Numerical methods of integration", publisher = pub-STUDENTLITTERATUR, address = pub-STUDENTLITTERATUR:adr, pages = "147", year = "1993", ISBN = "0-86238-331-5, 91-44-38851-9", ISBN-13 = "978-0-86238-331-2, 978-91-44-38851-9", LCCN = "QA299.3.N845 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical integration", } @Book{Stenger:1993:NMB, author = "Frank Stenger", title = "Numerical methods based on Sinc and analytic functions", volume = "20", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 565", year = "1993", DOI = "https://doi.org/10.1007/978-1-4612-2706-9", ISBN = "0-387-94008-1 (New York), 3-540-94008-1 (Berlin)", ISBN-13 = "978-0-387-94008-3 (New York), 978-3-540-94008-1 (Berlin)", LCCN = "QA372 .S82 1993", MRclass = "65-01 (41A05 41A55 65-02)", MRnumber = "1226236 (94k:65003)", MRreviewer = "B. Boyanov", bibdate = "Tue May 27 08:33:46 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Springer Series in Computational Mathematics", acknowledgement = ack-nhfb, keywords = "differential equations --- numerical solutions; Galerkin methods", subject = "Galerkin methods; Differential equations; Numerical solutions", } @Book{Stoer:1993:INA, author = "Josef Stoer and Roland Bulirsch", title = "Introduction to numerical analysis", volume = "12", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xiii + 660", year = "1993", ISBN = "0-387-97878-X (New York), 3-540-97878-X (Berlin)", ISBN-13 = "978-0-387-97878-9 (New York), 978-3-540-97878-7 (Berlin)", LCCN = "QA297 .S8213 1993", MRclass = "65-01", MRnumber = "1295246 (95i:65006)", MRreviewer = "David R. Hill", bibdate = "Tue May 27 08:33:47 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Translated from the German by R. Bartels, W. Gautschi and C. Witzgall", series = "Texts in Applied Mathematics", acknowledgement = ack-nhfb, keywords = "numerical analysis", subject = "Numerical analysis", } @Book{Stoer:1993:NM, author = "Josef Stoer", title = "{Numerische Mathematik}. 1. ({German}) [{Numerical} mathematics. 1]", publisher = pub-SV, address = pub-SV:adr, edition = "Sixth", pages = "xiv + 314", year = "1993", ISBN = "3-540-56213-3", ISBN-13 = "978-3-540-56213-9", MRclass = "65-01", MRnumber = "1231976 (94b:65002)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Eine Einf{\"u}hrung---unter Ber{\"u}cksichtigung von Vorlesungen von F. L. Bauer. [An introduction---based on the lectures of F. L. Bauer]", series = "Springer-Lehrbuch. [Springer Textbook]", acknowledgement = ack-nhfb, language = "German", } @Book{Tesar:1993:DWB, author = "Alexander Tesar", title = "Development of wood bridges: numerical and experimental analysis of static and dynamic behaviour of wood bridges", publisher = "Helsinki University of Technology", address = "Espoo, Finland", pages = "47", year = "1993", LCCN = "PB95-149662 Microfiche", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Performed by the Helsinki University of Technology, Dept. of Structural Engineering, Laboratory of Bridge Engineering. Publication no. 6.", acknowledgement = ack-nhfb, keywords = "bridges --- live loads --- testing; bridges, wooden -- design and construction; bridges, wooden --- testing", } @Book{Vreugdenhil:1993:NMA, author = "Cornelis Boudewijn Vreugdenhil and Barry Koren", title = "Numerical methods for advection --- diffusion problems", volume = "45", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "xii + 373", year = "1993", ISBN = "3-528-07645-3", ISBN-13 = "978-3-528-07645-0", ISSN = "0179-9614", LCCN = "QA901 .N86 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "GB93-08615", series = "Notes on numerical fluid mechanics", acknowledgement = ack-nhfb, keywords = "reaction-diffusion equations --- numerical solutions", } @Book{Wood:1993:INM, author = "W. L. Wood", title = "Introduction to numerical methods for water resources", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xxii + 255", year = "1993", ISBN = "0-19-859690-1", ISBN-13 = "978-0-19-859690-5", LCCN = "TC163 .W66 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "UK\pounds35 (US\$59.95)", series = "Oxford science publications", acknowledgement = ack-nhfb, keywords = "hydraulics --- statistical methods", } @Book{Zhou:1993:NAE, author = "Pei-bai Zhou", title = "Numerical analysis of electromagnetic fields", publisher = pub-SV, address = pub-SV:adr, pages = "xxi + 406", year = "1993", ISBN = "3-540-54722-3 (Berlin), 0-387-54722-3 (New York)", ISBN-13 = "978-3-540-54722-8 (Berlin), 978-0-387-54722-0 (New York)", LCCN = "QC665.E4 Z46 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Electric energy systems and engineering series", acknowledgement = ack-nhfb, keywords = "boundary element methods; electromagnetic fields -- mathematics; field theory (physics) --- mathematics; finite element method; numerical analysis", } @Manual{Agosta:1994:NAT, author = "Roxana M. Agosta", title = "Numerical analysis of tangential slot blowing on a generic chined forebody", number = "108845", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1994", LCCN = "NAS 1.15:108845 Government Information Microfiche", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 95-0053-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1994] 1 microfiche.", series = "NASA technical memorandum", acknowledgement = ack-nhfb, } @Book{Akai:1994:ANM, author = "Terrence J. Akai", title = "Applied numerical methods for engineers", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xix + 410", year = "1994", ISBN = "0-471-57523-2", ISBN-13 = "978-0-471-57523-8", LCCN = "TA335 .A38 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "engineering mathematics; numerical analysis", } @Book{Akin:1994:FEA, author = "J. E. Akin", title = "Finite elements for analysis and design", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xii + 548", year = "1994", ISBN = "0-12-047654-1", ISBN-13 = "978-0-12-047654-1", MRclass = "65-01 (65D17 65M60 65N30 73-01 73V05 76M10)", MRnumber = "1348873 (96g:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "With a contribution by Bala Ramaswamy, With 1 IBM-PC floppy disk (3.5 inch; HD), UNIX version of MODEL available separately", series = "Computational Mathematics and Applications", acknowledgement = ack-nhfb, } @Book{Anonymous:1994:FFF, author = "Anonymous", title = "Fundamentals of the {Fast Fourier Transform (FFT)}", publisher = "Technical Education Videos", address = "Redmond, WA, USA", year = "1994", ISBN = "0-9642912-0-7", ISBN-13 = "978-0-9642912-0-1", MRclass = "65-01 (65T20)", MRnumber = "1330226", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "1 videocassette (NTSC; 1/2 inch; VHS) (144 min.).", acknowledgement = ack-nhfb, } @Manual{Anonymous:1994:RPA, author = "Anonymous", title = "Research in progress in applied mathematics, numerical analysis, fluid mechanics, and computer science: semiannual report, {October 1, 1993 through March 31, 1994}", number = "194942", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1994", LCCN = "NAS 1.26:194942 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Institute for Computer Applications in Science and Engineering. Shipping list no.: 95-0051-M", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "aerodynamics; computational fluid dynamics; computer techniques", } @Book{Berman:1994:NMM, author = "Abraham Berman and Robert J. Plemmons", title = "Nonnegative Matrices in the Mathematical Sciences", volume = "9", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xx + 340", year = "1994", DOI = "https://doi.org/10.1137/1.9781611971262", ISBN = "0-89871-321-8", ISBN-13 = "978-0-89871-321-3", LCCN = "QA188 .B47 1994", MRclass = "15A48 (15-02 60J10 90C33)", MRnumber = "1298430 (95e:15013)", bibdate = "Fri Nov 21 06:49:56 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Revised reprint of \cite{Berman:1979:NMM}.", series = "Classics in Applied Mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0708/94037449-d.html; http://www.loc.gov/catdir/enhancements/fy0708/94037449-t.html", abstract = "Here is a valuable text and research tool for scientists and engineers who use or work with theory and computation associated with practical problems relating to Markov chains and queuing networks, economic analysis, or mathematical programming. Originally published in 1979, this new edition adds material that updates the subject relative to developments from 1979 to 1993. Theory and applications of nonnegative matrices are blended here, and extensive references are included in each area. You will be led from the theory of positive operators via the Perron-Frobenius theory of nonnegative matrices and the theory of inverse positivity, to the widely used topic of $M$-matrices. On the way, semigroups of nonnegative matrices and symmetric nonnegative matrices are discussed. Later, applications of nonnegativity and $M$-matrices are given; for numerical analysis the example is convergence theory of iterative methods, for probability and statistics the examples are finite Markov chains and queuing network models, for mathematical economics the example is input-output models, and for mathematical programming the example is the linear complementarity problem. Nonnegativity constraints arise very naturally throughout the physical world. Engineers, applied mathematicians, and scientists who encounter nonnegativity or generalizations of nonnegativity in their work will benefit from topics covered here, connecting them to relevant theory. Researchers in one area, such as queuing theory, may find useful the techniques involving nonnegative matrices used by researchers in another area, say, mathematical programming. Exercises and biographical notes are included with each chapter.", acknowledgement = ack-njh # " and " # ack-nhfb # " and " # ack-rah # " and " # ack-crj, tableofcontents = "1: Matrices Which Leave a Cone Invariant \\ 2: Nonnegative Matrices \\ 3: Semigroups of Nonnegative Matrices \\ 4: Symmetric Nonnegative Matrices \\ 5: Generalized Inverse-Positivity \\ 6: $M$-Matrices \\ 7: Iterative Methods for Linear Systems \\ 8: Finite Markov Chains \\ 9: Input-Output Analysis in Economics \\ 10: The Linear Complementarity Problem \\ 11: Supplement 1979--1993 \\ References \\ Index", } @Book{Bini:1994:PMC, author = "Dario Bini and Victor Y. Pan", title = "Polynomial and Matrix Computations. Volume 1: {Fundamental} Algorithms", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xvi + 415", year = "1994", ISBN = "0-8176-3786-9", ISBN-13 = "978-0-8176-3786-6", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", } @Book{Boehm:1994:GCG, author = "Wolfgang Boehm and Hartmut Prautzsch", title = "Geometric concepts for geometric design", publisher = pub-A-K-PETERS, address = pub-A-K-PETERS:adr, pages = "xvii + 393", year = "1994", ISBN = "1-56881-004-0", ISBN-13 = "978-1-56881-004-1", LCCN = "QA445 .B63 1994b", MRclass = "65-01 (51Nxx 65D17 68U05)", MRnumber = "1258304 (94j:65002)", bibdate = "Tue May 27 08:33:52 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", price = "US\$49.95", acknowledgement = ack-nhfb, author-dates = "1928--", subject = "Geometry; Data processing", } @Book{Bouleau:1994:NMS, author = "Nicolas Bouleau and Dominique Lepingle", title = "Numerical methods for stochastic processes", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xvii + 359", year = "1994", ISBN = "0-471-54641-0", ISBN-13 = "978-0-471-54641-2", LCCN = "QA274 .B67 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "A Wiley-Interscience publication.", series = "Wiley series in probability and mathematical statistics. Applied probability and statistics", acknowledgement = ack-nhfb, keywords = "monte carlo method; stochastic processes -- mathematical models", } @Book{Brenner:1994:MTF, author = "Susanne C. Brenner and L. Ridgway Scott", title = "The mathematical theory of finite element methods", volume = "15", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 294", year = "1994", ISBN = "0-387-94193-2 (New York), 3-540-94193-2 (Berlin)", ISBN-13 = "978-0-387-94193-6 (New York), 978-3-540-94193-4 (Berlin)", LCCN = "QA379 .B74 1994", MRclass = "65-01 (46N40 65L60 65M60 65N30 73V05 76M10)", MRnumber = "1278258 (95f:65001)", MRreviewer = "J. T. Oden", bibdate = "Tue May 27 08:33:55 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Texts in Applied Mathematics", acknowledgement = ack-nhfb, subject = "Boundary value problems; Numerical solutions; Finite element method; Mathematics", } @Book{Bull:1994:SSI, author = "John W. Bull", title = "Soil structure interaction: numerical analysis and modelling", publisher = "E and FN Spon", address = "New York", pages = "xiv + 727", year = "1994", ISBN = "0-419-19070-8, 1-85861-014-1", ISBN-13 = "978-0-419-19070-7, 978-1-85861-014-6", LCCN = "TA711.5 .N86 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Title on spine: Soil-structure interaction: numerical analysis and modelling.", acknowledgement = ack-nhfb, keywords = "soil-structure interaction --- mathematical models", } @TechReport{Bylaska:1994:SPN, author = "Eric J. Bylaska", title = "Scalable parallel numerical methods and software tools for material design", type = "Technical report", number = "CS94-388", institution = "Dept. of Computer Science and Engineering, University of California, San Diego", address = "San Diego, CA, USA", pages = "6", month = sep, year = "1994", LCCN = "QA75.5 .T43 v.388", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "To appear, Sixth SIAM Conference on Parallel Processing for Scientific Computing, February, 1995, San Francisco, CA.", acknowledgement = ack-nhfb, } @Book{Cheney:1994:NMC, author = "Ward Cheney and David Kincaid", title = "Numerical Mathematics and Computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Third", pages = "578", year = "1994", ISBN = "0-534-20112-1", ISBN-13 = "978-0-534-20112-8", LCCN = "QA297.C426 1994", bibdate = "Mon Jul 11 13:45:16 MDT 1994", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", } @Manual{Coutermarsh:1994:ENA, author = "Barry A. Coutermarsh", title = "Experimental and numerical analysis of floating ice beam impact forces against a sloped structure", number = "94--2", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1994", LCCN = "MICROFICHE.9999.D 103.33/12:94-2", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 94-0625-M. Microfiche. [Washington, DC?]: Supt. of Docs., U.S. G.P.O., [1994] 1 microfiche.", series = "CRREL report", acknowledgement = ack-nhfb, keywords = "bridges --- snow and ice control; ice mechanics -- mathematical models", } @Book{Crandall:1994:PSC, author = "Richard E. Crandall", title = "Projects in Scientific Computation", publisher = pub-TELOS, address = pub-TELOS:adr, pages = "xxiv + 470", year = "1994", ISBN = "0-387-97808-9", ISBN-13 = "978-0-387-97808-6", LCCN = "Q183.9.P733 1994", bibdate = "Thu Oct 13 01:19:10 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Includes computer disk.", price = "US\$49.95", acknowledgement = ack-nhfb, } @Book{Deineko:1994:MPR, author = "V. V. De{\u\i}neko", title = "Metody priblizhennogo resheniya obyknovennykh differentsialnykh uravnenii. ({Russian}) [{Methods} for the approximate solution of ordinary differential equations]", publisher = "``Izdatel\cprime''", address = "Novosibirsk, Russia", edition = "Second", pages = "239", year = "1994", ISBN = "5-88399-074-6", ISBN-13 = "978-5-88399-074-7", MRclass = "65-01 (34A45 65Lxx)", MRnumber = "1450403 (97m:65002)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Russian", } @Book{Deuflhard:1994:NMI, author = "Peter Deuflhard and Folkmar Bornemann", title = "{Numerische Mathematik}. {II}. ({German}) [{Numerical} mathematics. {II}]", publisher = pub-GRUYTER, address = pub-GRUYTER:adr, pages = "xvi + 383", year = "1994", ISBN = "3-11-013936-7; 3-11-013937-5", ISBN-13 = "978-3-11-013936-5; 978-3-11-013937-2", MRclass = "65-01", MRnumber = "1341129 (97e:65001)", MRreviewer = "Martin Hermann", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Integration gew{\"o}hnlicher Differentialgleichungen. [Integration of ordinary differential equations]", series = "de Gruyter Lehrbuch. [de Gruyter Textbook]", acknowledgement = ack-nhfb, language = "German", } @Book{Erbes:1994:SFA, author = "Gerhard Erbes", title = "A study of fine-scale atmospheric dynamics and numerical advection methods", publisher = "Dept. of Meteorology", address = "Stockholm University", pages = "various", year = "1994", ISBN = "91-7153-205-6", ISBN-13 = "978-91-7153-205-3", LCCN = "QC880.4 .E8 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Originally presented as the author's thesis (doctoral)--Stockholm University, 1994.", acknowledgement = ack-nhfb, keywords = "atmospheric circulation --- mathematical models; differential equations, hyperbolic", } @Book{Euvrard:1994:RNE, author = "Daniel Euvrard", title = "R{\'e}solution num{\'e}rique des {\'e}quations aux d{\'e}riv{\'e}es partielles de la physique, de la m{\'e}canique et des sciences de l'ing{\'e}nieur. ({French}) [{Numerical} solution of equations of partial derivatives in physics, mechanics, and engineering]", publisher = pub-MASSON, address = pub-MASSON:adr, edition = "Third", pages = "xiv + 330", year = "1994", ISBN = "2-225-84509-3", ISBN-13 = "978-2-225-84509-3", MRclass = "65-01 (39A12 73V05 73V10 76M10 76M15)", MRnumber = "1306053 (96a:65002)", MRreviewer = "G. W. Hedstrom", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Diff{\'e}rences finies, {\'e}l{\'e}ments finis, probl{\`e}mes en domaine non born{\'e}. [Finite differences, finite elements, problems in unbounded domains]", series = "Enseignement de la Physique: Math{\'e}matiques pour la Physique. [The Teaching of Physics: Mathematics for Physics]", acknowledgement = ack-nhfb, language = "French", } @Book{Friedman:1994:FCN, author = "Menahem Friedman and Abraham Kandel", title = "Fundamentals of computer numerical analysis", publisher = pub-CRC, address = pub-CRC:adr, pages = "xi + 587", year = "1994", ISBN = "0-8493-8637-3", ISBN-13 = "978-0-8493-8637-4", LCCN = "QA76 .F757 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "System requirements for computer disk: IBM-compatible PC; DOS; Fortran 77.", acknowledgement = ack-nhfb, keywords = "electronic data processing; numerical analysis --- data processing", } @Book{Garcia:1994:NMP, author = "Alejandro L. Garcia", title = "Numerical methods for physics", publisher = pub-PH, address = pub-PH:adr, pages = "xiii + 368", year = "1994", ISBN = "0-13-151986-7", ISBN-13 = "978-0-13-151986-2", LCCN = "QC20.G37 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "differential equations, partial --- numerical solutions; mathematical physics; numerical calculations; physics", } @Book{Gerald:1994:ANA, author = "Curtis F. Gerald and Patrick O. Wheatley", title = "Applied numerical analysis", publisher = pub-AW, address = pub-AW:adr, edition = "Fifth", pages = "various", year = "1994", ISBN = "0-201-56553-6", ISBN-13 = "978-0-201-56553-9", LCCN = "QA 297 G47 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Griffiths:1994:NAP, author = "D. F. Griffiths and G. A. Watson", title = "Numerical analysis 1993: proceedings of the 15th Dundee Conference, {June-July} 1993", volume = "303", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "275", year = "1994", ISBN = "0-582-22568-X (paperback)", ISBN-13 = "978-0-582-22568-8 (paperback)", ISSN = "0269-3674", LCCN = "QA297.D85 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "UK\pounds30.00", series = "Pitman research notes in mathematics series", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Book{Grossmann:1994:NPD, author = "Christian Gro{\ss}mann and Hans-G{\"o}rg Roos", title = "{Numerik partieller Differentialgleichungen}. ({German}) [{Numerical} solution of partial differential equations]", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, edition = "Second", pages = "477", year = "1994", ISBN = "3-519-12089-5", ISBN-13 = "978-3-519-12089-6", MRclass = "65-01 (65Mxx 65Nxx)", MRnumber = "1312608 (95i:65003)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Teubner Studienb{\"u}cher Mathematik. [Teubner Mathematical Textbooks]", acknowledgement = ack-nhfb, language = "German", } @Book{Hackbusch:1994:ISL, author = "Wolfgang Hackbusch", title = "Iterative solution of large sparse systems of equations", volume = "95", publisher = pub-SV, address = pub-SV:adr, pages = "xxi + 429", year = "1994", DOI = "https://doi.org/10.1007/978-1-4612-4288-8", ISBN = "0-387-94064-2", ISBN-13 = "978-0-387-94064-9", LCCN = "QA1 .A647 vol. 95 QA188", MRclass = "65-01 (65F10 65F50)", MRnumber = "1247457 (94k:65002)", MRreviewer = "R. P. Tewarson", bibdate = "Tue May 27 08:34:06 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Translated and revised from the 1991 German original", series = "Applied Mathematical Sciences", URL = "http://www.loc.gov/catdir/enhancements/fy0812/93002098-d.html", acknowledgement = ack-nhfb, author-dates = "1948--", subject = "Sparse matrices; Iterative methods (Mathematics); Differential equations, Partial; Numerical solutions", } @Book{Hall:1994:BEM, author = "W. S. Hall", title = "The boundary element method", volume = "27", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "x + 227", year = "1994", DOI = "https://doi.org/10.1007/978-94-011-0784-6", ISBN = "0-7923-2580-X", ISBN-13 = "978-0-7923-2580-2", MRclass = "65-01 (65N38 65R20 73V10 76M15 78-08)", MRnumber = "1273130 (95a:65001)", MRreviewer = "N. Gass", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Solid Mechanics and its Applications", acknowledgement = ack-nhfb, } @Book{Hammerlin:1994:NM, author = "G{\"u}nther H{\"a}mmerlin and Karl-Heinz Hoffmann", title = "{Numerische Mathematik}. ({German}) [{Numerical} mathematics]", publisher = pub-SV, address = pub-SV:adr, edition = "Fourth", pages = "xiv + 449", year = "1994", DOI = "https://doi.org/10.1007/978-3-642-57894-6", ISBN = "3-540-58033-6", ISBN-13 = "978-3-540-58033-1", MRclass = "65-01", MRnumber = "1305149 (95g:65003)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Grundwissen Mathematik. [Basic Knowledge in Mathematics]", series = "Springer-Lehrbuch. [Springer Textbook]", acknowledgement = ack-nhfb, language = "German", } @Book{Hermann:1994:LON, author = "Robert Hermann", title = "Lie-theoretic {ODE} numerical analysis, mechanics, and differential systems", volume = "29", publisher = "Math Sci Press", address = "Brookline, Mass.", pages = "286", year = "1994", ISBN = "0-915692-45-7", ISBN-13 = "978-0-915692-45-3", LCCN = "QA372 .H485 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Interdisciplinary mathematics", acknowledgement = ack-nhfb, keywords = "differential equations --- numerical solutions; lie groups; numerical analysis", } @Manual{Ho:1994:NNA, author = "Henjen Ho", title = "Non-linear numerical analysis of the Iosipescu specimen for composite materials", number = "195934", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1994", LCCN = "NAS 1.26:195934 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 94-0866-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1994] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "finite element method; graphite-epoxy composites; nonlinearity; notch tests; shear strain; shear strength; shear stress; specimen geometry", } @Book{Honerkamp:1994:SDS, author = "J. Honerkamp", title = "Stochastic dynamical systems: concepts, numerical methods, data analysis", publisher = pub-VCH, address = pub-VCH:adr, pages = "xvi + 535", year = "1994", ISBN = "1-56081-563-9, 3-527-89563-9", ISBN-13 = "978-1-56081-563-1, 978-3-527-89563-2", LCCN = "QA274 .H6613 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "stochastic processes", } @Book{Ingham:1994:BEM, author = "D. B. Ingham and Y. Yuan", title = "The boundary element method for solving improperly posed problems", volume = "19", publisher = "Computational Mechanics Publications", address = "Southampton, UK", pages = "xiv + 145", year = "1994", ISBN = "1-85312-291-2", ISBN-13 = "978-1-85312-291-0", MRclass = "65-01 (00A06 65M30 65N38 80-08 80A20)", MRnumber = "1320263 (96c:65001)", MRreviewer = "Mark Ainsworth", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "With a contribution by H. Han", series = "Topics in Engineering", acknowledgement = ack-nhfb, } @Book{Isaacson:1994:ANM, author = "Eugene Isaacson and Herbert Bishop Keller", title = "Analysis of numerical methods", publisher = pub-DOVER, address = pub-DOVER:adr, pages = "xv + 541", year = "1994", ISBN = "0-486-68029-0 (paperback)", ISBN-13 = "978-0-486-68029-3 (paperback)", LCCN = "QA297 .I8 1994", bibdate = "Fri Aug 20 09:37:14 MDT 2010", bibsource = "https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/description/dover031/94007740.html", acknowledgement = ack-nhfb, remark = "Originally published in \cite{Isaacson:1966:ANM}. Contains new preface.", subject = "Numerical analysis", } @Manual{Jameson:1994:ADNa, author = "Antony Jameson", title = "Analysis and design of numerical schemes for gas dynamics 1: artificial diffusion, upwind biasing, limiters and their effect on accuracy and multigrid convergence", number = "94.15", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1994", LCCN = "NAS 1.26:196476 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 95-0062-M", series = "RIACS technical report", acknowledgement = ack-nhfb, keywords = "computational fluid dynamics; convective flow; diffusivity; gas dynamics; gaseous diffusion; maximum principle; momentum theory; multigrid methods; supersonic flow; transonic flow; TVD schemes", } @Manual{Jameson:1994:ADNb, author = "Antony Jameson", title = "Analysis and design of numerical schemes for gas dynamics 2: artificial diffusion, discrete shock structure", number = "94.16", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1994", LCCN = "NAS 1.26:196477 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 95-0062-M", series = "RIACS technical report", acknowledgement = ack-nhfb, keywords = "convective flow; diffusion; diffusivity; gas dynamics; method of characteristics; shock waves; stagnation flow; steady flow", } @Book{Johnson:1994:NCM, author = "Michael L. Johnson and Ludwig Brand", title = "Numerical computer methods. Part {B}", volume = "240", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xxviii + 857", year = "1994", ISBN = "0-12-182141-2", ISBN-13 = "978-0-12-182141-8", ISSN = "0076-6879", LCCN = "QP601 .C56 v.240", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Methods in enzymology", acknowledgement = ack-nhfb, annote = "Contents: 1. Use of Least-Squares Techniques in Biochemistry / Michael L. Johnson --- 2. Parameter Estimates from Nonlinear Models / Donald G. Watts --- 3. Effects of Heteroscedasticity and Skewness on Prediction in Regression: Modeling Growth of the Human Heart / Robert D. Abbott and Howard P. Gutgesell --- 4. Artifacts of Fourier Series Analysis / Michael L. Johnson and Michelle Lampl --- 5. Quantification of Evolution from Order to Randomness in Practical Time Series Analysis / Steven M. Pincus --- 6. Sequential versus Simultaneous Analysis of Data: Differences in Reliability of Derived Quantitative Conclusions / Martin Straume --- 7. Model-Independent Quantification of Measurement Error: Empirical Estimation of Discrete Variance Function Profiles Based on Standard Curves / Martin Straume, Johannes D. Veldhuis and Michael L. Johnson --- 8. Impact of Variance Function Estimation in Regression and Calibration / Lie-Ju Hwang. 9. Application of the Kalman Filter to Computational Problems in Statistics / Emery N. Brown and Christopher H. Schmid --- 10. Modeling Chemical Reactions: Jacobian Paradigm and Related Issues / Richard I. Shrager --- 11. The Mathematics of Biological Oscillators / G. Bard Ermentrout --- 12. Diffusion-Modulated Energy Transfer and Quenching: Analysis by Numerical Integration of Diffusion Equation in Laplace Space / Jozef Kusba and Joseph R. Lakowicz --- 13. Maximum Entropy Method of Data Analysis in Time-Resolved Spectroscopy / Jean-Claude Brochon --- 14. Analysis of Kinetic Data: Practical Applications of Computer Simulation and Fitting Programs / Carl Frieden --- 15. Determination of Rate and Equilibrium Binding Constants for Macromolecular Interactions by Surface Plasmon Resonance / Daniel J. O'Shannessy, Michael Brigham-Burke, K. Karl Soneson, Preston Hensley and Ian Brooks. 16. Analysis of Nonequilibrium Dynamics of Bound, Free, and Total Plasma Ligand Concentrations over Time Following Nonlinear Secretory Inputs: Kinetics of Two or More Hormones Pulsed into Compartments Containing Multiple Variable-Affinity Binding Proteins / Johannes D. Veldhuis, Lindsay M. Faunt and Michael L. Johnson --- 17. Testing Pulse Detection Algorithms with Simulations of Episodically Pulsatile Substrate, Metabolite, or Hormone Release / Johannes D. Veldhuis and Michael L. Johnson --- 18. Error Analysis of Macromolecular Structures Determined with Nuclear Magnetic Resonance Data / John W. Shriver and Stephen Edmondson --- 19. Characterization of Enzyme-Complex Formation by Analysis of Nuclear Magnetic Resonance Line Shapes / Carol Beth Post --- 20. Computer Simulations of Nuclear Overhauser Effect Spectra of Complex Oligosaccharides / C. Allen Bush. 21. Determining Confidence Intervals for Parameters Derived from Analysis of Equilibrium Analytical Ultracentrifugation Data / Ian Brooks, Donald G. Watts, K. Karl Soneson and Preston Hensley --- 22. Boundary Analysis in Sedimentation Velocity Experiments / Walter F. Stafford III --- 23. Statistical Thermodynamic Analysis of Differential Scanning Calorimetry Data: Structural Deconvolution of Heat Capacity Function of Proteins / Ernesto Freire --- 24. Analysis of Two-Dimensional Differential Scanning Calorimetry Data: Elucidation of Complex Biomolecular Energetics / Martin Straume --- 25. Monte Carlo Simulations of Membranes: Phase Transition of Small Unilamellar Dipalmitoylphosphatidylcholine Vesicles / Istvan P. Sugar, Rodney L. Biltonen and Neil Mitchard --- 26. Analysis of Drug-DNA Binding Isotherms: A Monte Carlo Approach / John J. Correia and Jonathan B. Chaires -- 27. Analysis of Multidimensional Spectroscopic Data to Monitor Unfolding of Proteins / Glen D. Ramsay and Maurice R. Eftink. 28. Estimating Binding Constants for Site-Specific Interactions between Monovalent Ions and Proteins / Bertrand Garcia-Moreno E. --- 29. Pattern Recognition Metric for Comparison of Protein Structures Based on Amino Acid G. Hocker.", keywords = "biochemistry --- methods; mathematical computing; medical sciences --- research --- data processing; numerical analysis --- data processing; statistics", } @Book{Kloeden:1994:NSS, author = "Peter E. Kloeden and Eckhard Platen and Henri Schurz", title = "Numerical Solution of {SDE} Through Computer Experiments", publisher = pub-SV, address = pub-SV:adr, year = "1994", DOI = "https://doi.org/10.1007/978-3-642-57913-4", ISBN = "3-540-57074-8", ISBN-13 = "978-3-540-57074-5", ISSN = "0172-5939 (print), 2191-6675 (electronic)", ISSN-L = "0172-5939", LCCN = "QA273.A1-274.9; QA274-274.9", bibdate = "Tue Apr 29 18:44:55 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/probstat1990.bib; prodorbis.library.yale.edu:7090/voyager", series = "Universitext", abstract = "This is a computer experimental introduction to the numerical solution of stochastic differential equations. Downloadable software containing programs for over 100 problems is provided at one of the following homepages:\par http://www.math.uni-frankfurt.de/numerik/kloeden/\par http://www.business.uts.edu.au/finance/staff/eckard.html\par http://www.math.siu.edu/schurz/SOFTWARE/\par to enable the reader to develop an intuitive understanding of the issues involved. Applications include stochastic dynamical systems, filtering, parametric estimation and finance modeling.\par The book is intended for readers without specialist stochastic background who want to apply such numerical methods to stochastic differential equations that arise in their own field. It can also be used as an introductory textbook for upper-level undergraduate or graduate students in engineering, physics and economics.", acknowledgement = ack-nhfb, subject = "Mathematics; Numerical analysis; Distribution (Probability theory)", tableofcontents = "Preface \\ Legal Matters \\ Introduction \\ Background on Probability and Statistics \\ Stochastic Differential Equations \\ Introduction to Discrete Time Approximation \\ Strong Approximations \\ Weak Approximations \\ Applications \\ References \\ Subject Index \\ List of PC-Exercises \\ Frequently Used Notations", } @Book{Knupp:1994:FGG, author = "Patrick Knupp and Stanly Steinberg", title = "Fundamentals of grid generation", publisher = pub-CRC, address = pub-CRC:adr, pages = "xviii + 286", year = "1994", ISBN = "0-8493-8987-9", ISBN-13 = "978-0-8493-8987-0", MRclass = "65-01 (65M50 65N50)", MRnumber = "1300634 (95h:65001)", MRreviewer = "C. Wayne Mastin", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "With 1 IBM-PC floppy disk (3.5 inch; HD)", acknowledgement = ack-nhfb, } @Book{Kockler:1994:NMS, author = "Norbert K{\"o}ckler", title = "Numerical methods and scientific computing: using software libraries for problem solving", publisher = pub-CLARENDON, address = pub-CLARENDON:adr, pages = "xviii + 328", year = "1994", ISBN = "0-19-859698-7", ISBN-13 = "978-0-19-859698-1", LCCN = "TA345 .K653 1994", MRclass = "65-01 (65-04 65Y10)", MRnumber = "1297961 (95i:65004)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 08:34:33 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Using software libraries for problem solving", price = "US\$48.50", series = "Oxford Science Publications", URL = "http://www.loc.gov/catdir/enhancements/fy0637/94008064-d.html; http://www.loc.gov/catdir/enhancements/fy0637/94008064-t.html", acknowledgement = ack-nhfb, author-dates = "1944--", keywords = "engineering mathematics --- data processing; numerical analysis --- data processing", subject = "Engineering mathematics; Data processing; Numerical analysis", } @Book{Kowalski:1994:NAM, author = "Jan Krzysztof Kowalski and Andrzej Wakulicz", title = "Numerical analysis and mathematical modelling", volume = "29", publisher = "Institute of Mathematics, Polish Academy of Sciences", address = "Warszawa, Poland", pages = "304", year = "1994", ISSN = "0137-6934", LCCN = "QA297 .N842 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Banach Center publications", acknowledgement = ack-nhfb, keywords = "mathematical models; numerical analysis", } @Book{Krommer:1994:NIA, author = "Arnold R. Krommer and Christoph W. Ueberhuber", title = "{Numerical integration on advanced computer systems}", volume = "848", publisher = pub-SV, address = pub-SV:adr, pages = "xiii + 341", year = "1994", CODEN = "LNCSD9", DOI = "????", ISBN = "3-540-58410-2 (Berlin), 0-387-58410-2 (New York)", ISBN-13 = "978-3-540-58410-0 (Berlin), 978-0-387-58410-2 (New York)", ISSN = "0302-9743", LCCN = "QA299.3 .K76 1994", bibdate = "Wed Feb 14 06:00:56 MST 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "DM72.00", series = ser-LNCS, URL = "http://link.springer-ny.com/link/service/series/0558/tocs/t0848.htm; http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=848", acknowledgement = ack-nhfb, keywords = "numerical integration --- data processing", } @Book{Lascaux:1994:ANM, author = "P. Lascaux and R. Th{\'e}odor", title = "Analyse num{\'e}rique matricielle appliqu{\'e}e {\`a} l'art de l'ing{\'e}nieur. {Tome} 2. ({French}) [{Matrix} numerical analysis applied to the art of the engineer. {Volume 2}]", publisher = pub-MASSON, address = pub-MASSON:adr, edition = "Second", pages = "i--xxvi and 327--636", year = "1994", ISBN = "2-225-84546-8", ISBN-13 = "978-2-225-84546-8", MRclass = "65-01 (65Fxx)", MRnumber = "1286939 (95f:65002)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "M{\'e}thodes it{\'e}ratives. [Iterative methods]", acknowledgement = ack-nhfb, language = "French", } @Manual{Lee:1994:ASF, author = "J. Lee", title = "An analysis of supersonic flows with {low-Reynolds} number compressible two-equation turbulence models using {LU} finite volume implicit numerical techniques", number = "195302", organization = pub-NASA, address = pub-NASA:adr, pages = "????", year = "1994", LCCN = "NAS 1.26:195302 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 94-0863-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1994] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "k-epsilon turbulence model; low Reynolds number; shock wave interaction; supersonic flow; turbulent boundary layer; turbulent flow", } @MastersThesis{Lippsmeyer:1994:NCA, author = "Jeff Lippsmeyer", title = "Numerical control and analysis of the {RPV-1}", type = "Thesis (M.S.) in Mechanical Engineering", school = "University of California, Davis", address = "Davis, CA, USA", year = "1994", LCCN = "LD781.D5j 1994 L575 Spec Coll", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- University of California, Davis --- Mechanical Engineering", } @Book{Marchuk:1994:NMA, author = "G. I. Marchuk", title = "Numerical methods and applications", publisher = pub-CRC, address = pub-CRC:adr, pages = "x + 272", year = "1994", ISBN = "0-8493-8947-X", ISBN-13 = "978-0-8493-8947-4", LCCN = "QA297 .N8619 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Morton:1994:NSP, author = "K. W. Morton and D. F. (David Francis) Mayers", title = "Numerical solution of partial differential equations: an introduction", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "x + 227", year = "1994", ISBN = "0-521-41855-0 (hardcover), 0-521-42922-6 (paperback)", ISBN-13 = "978-0-521-41855-3 (hardcover), 978-0-521-42922-1 (paperback)", LCCN = "QA377 .M69 1994", MRclass = "65-01 (65Mxx 65Nxx 76Mxx)", MRnumber = "1312611 (96b:65001)", MRreviewer = "G. W. Hedstrom", bibdate = "Tue May 27 08:34:35 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "An introduction", URL = "http://www.loc.gov/catdir/description/cam026/94006670.html", acknowledgement = ack-nhfb, subject = "Differential equations, Partial; Numerical solutions", } @Book{Nawrotzki:1994:NSA, author = "Peter Nawrotzki", title = "Numerical stability analysis of arbitrary structural responses", volume = "24", publisher = "SFB 151 Tragwerksdynamik, Ruhr-Universit{\"a}t Bochum", address = "Bochum, Germany", pages = "124", month = feb, year = "1994", LCCN = "500 S663 24", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Wissenschaftliche Mitteilungen. Projekt B3: Dynamisches Stabilitatsverhalten allgemeiner, insbesondere flachenhafter Strukturen.", series = "SFB 151 Berichte Nr.", acknowledgement = ack-nhfb, keywords = "numerical analysis; structural dynamics", } @Book{Ortega:1994:IFSa, author = "James M. Ortega", title = "An Introduction to {Fortran} for Scientific Computing", publisher = pub-SAUNDERS, address = pub-SAUNDERS:adr, pages = "viii + 204", month = jan, year = "1994", ISBN = "0-03-003128-1", ISBN-13 = "978-0-03-003128-1", LCCN = "QA76.73.F25 O75 1994", bibdate = "Sun Sep 28 10:42:07 MDT 1997", bibsource = "http://www.amazon.com/exec/obidos/ISBN=0030031281/wholesaleproductA/; http://www.cbooks.com/; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$30.00", URL = "http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=0030031281", acknowledgement = ack-nhfb, keywords = "{Fortran} (Computer program language)", } @Book{Ortega:1994:IFSb, author = "James M. Ortega", title = "An Introduction to {Fortran 90} for Scientific Computing", publisher = pub-SAUNDERS, address = pub-SAUNDERS:adr, pages = "vi + 234", month = aug, year = "1994", ISBN = "0-03-010198-0", ISBN-13 = "978-0-03-010198-4", LCCN = "QA 76.73 F25 O75 1994b", bibdate = "Sun Sep 28 10:42:07 MDT 1997", bibsource = "http://www.amazon.com/exec/obidos/ISBN=0030101980/wholesaleproductA/; http://www.cbooks.com/; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$30.00; US\$20.00", URL = "http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=0030101980", acknowledgement = ack-nhfb, keywords = "{Fortran} 90 (Computer program language)", } @Manual{Osher:1994:SCN, author = "Stanley Osher", title = "Subscale capturing in numerical analysis", number = "94--24", organization = "Dept. of Mathematics, University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "15", month = jul, year = "1994", LCCN = "QA 1 C36 no.94-24 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "CAM report", acknowledgement = ack-nhfb, } @Book{Pelikan:1994:ANM, author = "Peter Pelikan and Marek Liska and Michal Ceppan", title = "Applications of numerical methods in molecular spectroscopy", publisher = pub-CRC, address = pub-CRC:adr, pages = "341", year = "1994", ISBN = "0-8493-7322-0", ISBN-13 = "978-0-8493-7322-0", LCCN = "QD96.M65 P45 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Chemometrics series", acknowledgement = ack-nhfb, keywords = "molecular spectroscopy --- data processing; molecular spectroscopy --- statistical methods", } @Book{Press:1994:NRF, author = "William H. Press", title = "Numerical recipes in {FORTRAN}: the art of scientific computing", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, edition = "2d, corrected to software version 2.04", pages = "xxvi + 963", year = "1994", ISBN = "0-521-43064-X (book), 0-521-43719-9 (FORTRAN diskette IBM 3.5, 720K)", ISBN-13 = "978-0-521-43064-7 (book), 978-0-521-43719-6 (FORTRAN diskette IBM 3.5, 720K)", LCCN = "QA76.73.C15 N865 1992", bibdate = "Sat Jan 27 13:40:57 MST 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "System requirements for diskette: IBM PC, PS/2 and compatibles [DOS].", keywords = "FORTRAN (Computer program language); Numerical analysis --- Computer programs; Science --- Mathematics --- Computer programs", } @Book{Quarteroni:1994:NAP, author = "Alfio Quarteroni and Alberto (Alberto) Valli", title = "Numerical approximation of partial differential equations", volume = "23", publisher = pub-SV, address = pub-SV:adr, pages = "xvi + 543", year = "1994", ISBN = "3-540-57111-6 (Berlin), 0-387-57111-6 (New York)", ISBN-13 = "978-3-540-57111-7 (Berlin), 978-0-387-57111-9 (New York)", LCCN = "QA377 .Q37 1994", MRclass = "65-01 (65Mxx 65Nxx 76D05 76Mxx)", MRnumber = "1299729 (95i:65005)", MRreviewer = "Ji{\v{r}}{\'{\i}} Nedoma", bibdate = "Tue May 27 08:34:36 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Springer Series in Computational Mathematics", acknowledgement = ack-nhfb, subject = "Differential equations, Partial; Numerical solutions; Approximation theory", } @Book{Rakowski:1994:GSM, author = "Zikmund Rakowski", title = "Geomechanics 93: Strata mechanics, numerical methods, water jet cutting, mechanical rock disintegration: proceedings of the international conference Geomechanics 93, Hradec, Ostrava, Czech Republic, 28--30 September 1993", publisher = "A. A. Balkema", address = "Brookfield, VT, USA", pages = "xiv + 460", year = "1994", ISBN = "90-5410-354-X", ISBN-13 = "978-90-5410-354-7", LCCN = "TA703.5 G44 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Sponsored by the International Bureau of Strata Mechanics of World Mining Congress and the International Society of Water Jet Technology.", acknowledgement = ack-nhfb, keywords = "engineering geology --- congresses; rock mechanics -- congresses; water jet cutting --- congresses", } @Book{Ramachandran:1994:BEM, author = "P. A. Ramachandran", title = "Boundary element methods in transport phenomena", publisher = "Computational Mechanics Publications and Elsevier Applied Science", address = "Southampton, UK and London, UK", pages = "xviii + 406", year = "1994", ISBN = "1-85312-260-2 (Southampton), 1-56252-184-5 (Boston), 1-85861-026-5 (Elsevier Applied Science)", ISBN-13 = "978-1-85312-260-6", LCCN = "TA347.B69 R36 1994", MRclass = "65-01 (65M70 65N35 76-01 76R50 76S05 82C70)", MRnumber = "1293553 (95f:65004)", MRreviewer = "G. Albinus", bibdate = "Tue May 27 08:34:38 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "With 1 IBM-PC floppy disk (5.25 inch)", series = "International Series on Computational Engineering", acknowledgement = ack-nhfb, remark = "System requirements for disk: IBM PC or compatible; 640K RAM.", subject = "Boundary element methods; Transport theory; Mathematical models", } @Book{Rassias:1994:FAA, author = "John Michael Rassias", title = "Functional analysis, approximation theory, and numerical analysis", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "xi + 325", year = "1994", ISBN = "981-02-0737-9", ISBN-13 = "978-981-02-0737-3", LCCN = "QA321 .F854 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Dedicated to Stefan Banach on his 100th birthday, Alexander Markowic Ostrowski on his 99th birthday, Stanislaw Marcin Ulam on his 83rd birthday.", price = "US\$68.00", acknowledgement = ack-nhfb, keywords = "approximation theory; functional analysis; numerical analysis", } @Book{Ryabenkii:1994:VVV, author = "V. S. Ryaben{\cprime}ki{\u\i}", title = "Vvedenie v vychislitelnuyu matematiku. ({Russian}) [{Introduction} to computational mathematics]", publisher = "Fizmatlit ``Nauka''", address = "Moscow, Russia", pages = "335", year = "1994", ISBN = "5-02-014544-0", ISBN-13 = "978-5-02-014544-3", MRclass = "65-01", MRnumber = "1367508 (96k:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Russian", } @Book{Sieverding:1994:NMF, author = "C. H. Sieverding", title = "Numerical methods for flow calculation in turbomachines: May 16--20, 1994", volume = "1994-06", publisher = "Von Karman Institute for Fluid Dynamics", address = "Rhode Saint Genese, Belgium", pages = "various", year = "1994", ISSN = "0377-8312", LCCN = "TJ267 .N852 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lecture series / Von Karman Institute for Fluid Dynamics", acknowledgement = ack-nhfb, keywords = "turbomachines --- fluid dynamics --- mathematical models", } @Book{Smith:1994:NMG, author = "I. M. Smith", title = "Numerical methods in geotechnical engineering: proceedings of the Third European Conference on Numerical Methods in Geotechnical Engineering: {ECONMIG} 94, Manchester, {UK}, 7--9 September 1994", publisher = "A. A. Balkema", address = "Brookfield, VT, USA", pages = "xi + 432", year = "1994", ISBN = "90-5410-510-0", ISBN-13 = "978-90-5410-510-7", LCCN = "TA703.5 .E78 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Conference sponsored by the International Society for Soil Mechanics and Foundation Engineering; organised by European Technical Committee on Numerical Methods in Geotechnical Engineering.", acknowledgement = ack-nhfb, keywords = "engineering geology --- mathematics --- congresses; numerical analysis --- congresses", } @Book{Sobol:1994:PMC, author = "Ilya M. Sobol{\cprime}", title = "A primer for the {Monte Carlo} method", publisher = pub-CRC, address = pub-CRC:adr, pages = "xiv + 107", year = "1994", ISBN = "0-8493-8673-X", ISBN-13 = "978-0-8493-8673-2", LCCN = "QA298 .S6613 1994", MRclass = "65-01 (65C05)", MRnumber = "1281143 (95e:65001)", bibdate = "Tue May 27 08:34:43 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0738/93050716-d.html", acknowledgement = ack-nhfb, subject = "Monte Carlo method", } @Book{Stoer:1994:NM, author = "Josef Stoer", title = "{Numerische Mathematik}. 1. ({German}) [{Numerical} mathematics. 1]", publisher = pub-SV, address = pub-SV:adr, edition = "Seventh", pages = "xii + 367", year = "1994", ISBN = "3-540-57823-4", ISBN-13 = "978-3-540-57823-9", MRclass = "65-01", MRnumber = "1304908 (95k:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Eine Einf{\"u}hrung---unter Ber{\"u}cksichtigung von Vorlesungen von F. L. Bauer. [An introduction---based on the lectures of F. L. Bauer]", series = "Springer-Lehrbuch. [Springer Textbook]", acknowledgement = ack-nhfb, language = "German", } @PhdThesis{Tao:1994:TAN, author = "Yue-Qun Tao", title = "Theoretical analysis and numerical simulation of plasma behavior in a strongly sheared electric field", type = "Thesis (Ph.D.)", school = "University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "xvi + 85", year = "1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCLA --- nuclear engineering", } @Book{VandeVelde:1994:CSC, author = "Eric F. {Van de Velde}", title = "Concurrent scientific computing", volume = "16", publisher = pub-SV, address = pub-SV:adr, pages = "xix + 328", year = "1994", ISBN = "0-387-94195-9", ISBN-13 = "978-0-387-94195-0", LCCN = "QA76.58 .V35 1994", MRclass = "65-01 (65-02 65Y05)", MRnumber = "1276945 (95d:65002)", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Tue May 27 08:34:48 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Texts in Applied Mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0815/93043289-d.html", acknowledgement = ack-nhfb, subject = "Parallel processing (Electronic computers)", } @Book{Vitasek:1994:ZTN, author = "Emil Vit{\'a}sek", title = "Z{\'a}klady teorie numerick{\'y}ch metod pro {\v{r}}e{\v{s}}en{\'\i} diferenci{\'a}ln{\'\i}ch rovnic. ({Czech}) [{Basic} theory of numerical methods for solving differential equations]", publisher = "Academia [Publishing House of the Czech Academy of Sciences]", address = "Prague, Czech Republic", pages = "411", year = "1994", ISBN = "80-200-0281-2", ISBN-13 = "978-80-200-0281-5", MRclass = "65-01", MRnumber = "1314822 (95k:65002)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Czech", } @Book{Vreugdenhil:1994:NMS, author = "Cornelis Boudewijn Vreugdenhil", title = "Numerical methods for shallow-water flow", volume = "13", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "ix + 261", year = "1994", ISBN = "0-7923-3164-8", ISBN-13 = "978-0-7923-3164-3", LCCN = "TC171 .V74 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Water science and technology library", acknowledgement = ack-nhfb, keywords = "hydrodynamics --- mathematical models", } @Book{Watanabe:1994:MSP, author = "T. (Tsutomu) Watanabe and Makoto Natori and Tsutomu Oguni", title = "Mathematical Software for the {P.C.} and Work Stations: a Collection of {Fortran 77} Programs", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xiv + 387", month = jun, year = "1994", ISBN = "0-444-82000-0", ISBN-13 = "978-0-444-82000-6", LCCN = "QA 76.73 F25 F6813 1994", bibdate = "Sun Sep 28 10:42:07 MDT 1997", bibsource = "http://www.amazon.com/exec/obidos/ISBN=0444820000/wholesaleproductA/; http://www.cbooks.com/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Translation of: FORTRAN 77 ni yoru suchi keisan sofutowea.", price = "US\$178.50", URL = "http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=0444820000", acknowledgement = ack-nhfb, alttitle = "{Fortran 77} ni yoru suchi keisan sofutowea. English.", keywords = "Fortran 77 (computer program language); Numerical analysis --- Use of --- Computers; {Fortran 77} (Computer program language)", } @Manual{Wu:1994:SAO, author = "S. T. (Shi-Tsan) Wu and Minggang Zhou", title = "Study for the analysis of the observations, and numerical data representing the planets as far-infrared calibration sources: final report", number = "NASA CR-196542", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1994", LCCN = "NAS 1.26:196542 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Title from microfiche header. Shipping list no.: 95-0419-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1995] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "far infrared radiation; flux density; infrared astronomy; Jupiter atmosphere; Neptune atmosphere; radiative transfer; Uranus atmosphere", } @PhdThesis{Zhou:1994:NEA, author = "Jun Zhou", title = "Numerical and experimental analysis of diesel and {JP-5} transport in unsaturated soils", type = "Thesis (Ph.D.)", school = "University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "xiii + 221", year = "1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCLA --- Civil Engineering", } @Book{Asaithambi:1995:NAT, author = "N. S. Asaithambi", title = "Numerical analysis: theory and practice", publisher = pub-SAUNDERS, address = pub-SAUNDERS:adr, pages = "xiv + 855 + 17 + 11", year = "1995", ISBN = "0-03-030983-2", ISBN-13 = "978-0-03-030983-0", LCCN = "QA297 .A747 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Manual{Athavale:1995:NAI, author = "M. M. Athavale", title = "Numerical analysis of intra-cavity and power-stream flow interaction in multiple gas-turbine disk-cavities", number = "106886", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1995", LCCN = "NAS 1.15:106886 Government Information Microfiche", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 95-0744-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1995] 1 microfiche.", series = "NASA technical memorandum", acknowledgement = ack-nhfb, } @Book{Babuska:1995:MMG, author = "Ivo Babuska", title = "Modeling, mesh generation, and adaptive numerical methods for partial differential equations", volume = "75", publisher = pub-SV, address = pub-SV:adr, pages = "li + 450", year = "1995", ISBN = "0-387-94542-3 (New York)", ISBN-13 = "978-0-387-94542-2 (New York)", LCCN = "QA377 .M578 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Errata slip inserted. Based on the proceedings of the 1993 IMA summer program.", series = "The IMA volumes in mathematics and its applications", acknowledgement = ack-nhfb, keywords = "differential equations, partial --- numerical solutions --- congresses; numerical grid generation (numerical analysis) --- congresses", } @PhdThesis{Brittnacher:1995:LAT, author = "Mitchell J. Brittnacher", title = "A linear analysis of tearing instability in magnetotail equilibria using simulation and numerical methods", type = "Thesis (Ph.D.)", school = "University of California, San Diego", address = "San Diego, CA, USA", pages = "xvi + 135", year = "1995", LCCN = "QC 3.6 .B759 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCSD --- Physics", } @Book{Carr:1995:NAG, author = "James R. Carr", title = "Numerical analysis for the geological sciences", publisher = pub-PH, address = pub-PH:adr, pages = "xxv + 592", year = "1995", ISBN = "0-02-319511-8", ISBN-13 = "978-0-02-319511-2", LCCN = "QE33.2.M3 C37 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "geology --- mathematics; mathematical analysis", } @Manual{Chan:1995:DNM, author = "William M. Chan", title = "Development of numerical methods for overset grids with applications for the integrated space shuttle vehicle", number = "95--10", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1995", LCCN = "NAS 1.26:197759 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 95-0749-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1995] 1 microfiche.", series = "MCAT Institute final report", acknowledgement = ack-nhfb, keywords = "algorithms; compressible flow; computational fluid dynamics; computational grids; computer programs; grid generation (mathematics); Navier--Stokes equation; software engineering", } @Book{Chandra:1995:ANM, author = "Prabir K. Chandra and R. Paul Singh", title = "Applied numerical methods for food and agricultural engineers", publisher = pub-CRC, address = pub-CRC:adr, pages = "500", year = "1995", ISBN = "0-8493-2454-8", ISBN-13 = "978-0-8493-2454-3", LCCN = "QA300.C4415 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Corless:1995:SRS, author = "Robert M. Corless", title = "Symbolic Recipes: Scientific Computing with {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "300", year = "1995", ISBN = "0-387-94210-6", ISBN-13 = "978-0-387-94210-0", bibdate = "Tue Jun 06 18:03:27 1995", bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$39.00", acknowledgement = ack-nhfb, } @Book{Datta:1995:NLA, author = "Biswa Nath Datta", title = "Numerical linear algebra and applications", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "xxii + 680", year = "1995", ISBN = "0-534-17466-3 (paperback)", ISBN-13 = "978-0-534-17466-8 (paperback)", LCCN = "QA184 .D37 1995", MRclass = "65-01 (65Fxx)", MRnumber = "1313721 (95i:65002)", bibdate = "Tue May 27 08:34:51 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Algebras, Linear; Numerical analysis", } @Book{Deshpande:1995:FIC, author = "S. M. Deshpande and S. S. Desai and R. Narasimha", title = "Fourteenth International Conference on Numerical Methods in Fluid Dynamics: proceedings of the conference held in Bangalore, India, 11--15 July 1994", volume = "453", publisher = pub-SV, address = pub-SV:adr, pages = "xiii + 588 + [1]", year = "1995", ISBN = "3-540-59280-6", ISBN-13 = "978-3-540-59280-8", LCCN = "QA911 .I58 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lecture notes in physics", acknowledgement = ack-nhfb, keywords = "fluid dynamics --- congresses; numerical analysis -- congresses", } @Book{Deuflhard:1995:NA, author = "Peter Deuflhard and Andreas Hohmann", title = "Numerical analysis", publisher = pub-GRUYTER, address = pub-GRUYTER:adr, pages = "xiv + 355", year = "1995", ISBN = "3-11-014031-4; 3-11-013882-4", ISBN-13 = "978-3-11-014031-6; 978-3-11-013882-5", MRclass = "65-01", MRnumber = "1325691 (96d:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "A first course in scientific computation, Translated from the second (1993) German edition by F. A. Potra and F. Schulz", series = "de Gruyter Textbook", acknowledgement = ack-nhfb, } @Book{Deuflhard:1995:NAF, author = "P. (Peter) Deuflhard and Andreas Hohmann", title = "Numerical analysis: a first course in scientific computation", publisher = pub-GRUYTER, address = pub-GRUYTER:adr, pages = "xiii + 355", year = "1995", ISBN = "3-11-014031-4 (hardcover), 3-11-013882-4 (paperback)", ISBN-13 = "978-3-11-014031-6 (hardcover), 978-3-11-013882-5 (paperback)", LCCN = "QA297 .D4713 1995", bibdate = "Tue May 27 08:34:52 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, keywords = "numerical analysis --- data processing", remark = "Translated from the German by F.A. Potra and F. Schulz.", subject = "Numerical analysis; Data processing", } @Book{Donnelly:1995:MMC, author = "Karen Donnelly", title = "{MATLAB} manual: computer laboratory exercises", publisher = pub-SAUNDERS, address = pub-SAUNDERS:adr, pages = "v + 196 + 16", year = "1995", ISBN = "0-03-094896-7", ISBN-13 = "978-0-03-094896-1", LCCN = "????", bibdate = "Tue Jun 25 12:05:09 MDT 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "MATLAB -- Handbooks, manuals, etc; Numerical analysis -- Data processing", } @Book{Evans:1995:PNA, author = "Gwynne Evans", title = "Practical numerical analysis", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xiii + 455", year = "1995", ISBN = "0-471-95535-3", ISBN-13 = "978-0-471-95535-1", LCCN = "QA297 .E93 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Fiume:1995:ISS, author = "Eugene L. Fiume", title = "An introduction to scientific, symbolic, and graphical computation", publisher = pub-A-K-PETERS, address = pub-A-K-PETERS:adr, pages = "xvi + 306", year = "1995", ISBN = "1-56881-051-2", ISBN-13 = "978-1-56881-051-5", LCCN = "QA76.F54 1995", MRclass = "68-01 (65-01)", MRnumber = "95m:68001", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Ian Gladwell", } @Book{Flowers:1995:INM, author = "Sir Brian Hilton Flowers", title = "An introduction to numerical methods in {C++}", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xx + 491", year = "1995", ISBN = "0-19-853863-4 (paperback)", ISBN-13 = "978-0-19-853863-9 (paperback)", LCCN = "QA297.F54 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "C (computer program language); numerical analysis -- data processing", } @Book{Gander:1995:SPS, author = "Walter Gander and Ji{\v{r}}{\i} H{\v{r}}eb{\'\i}{\v{c}}ek", title = "Solving Problems in Scientific Computing Using {Maple} and {MATLAB}", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xv + 315", year = "1995", ISBN = "3-540-58746-2, 0-387-58746-2", ISBN-13 = "978-3-540-58746-0, 978-0-387-58746-2", LCCN = "Q183.9 .G36 1995", bibdate = "Tue Jun 25 16:56:29 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "MAPLE (computer file); MATLAB; science -- data processing; science --- data processing", } @Manual{Girimaji:1995:AMS, author = "Sharath S. Girimaji and Yeh Chou", title = "Analysis and modeling of subgrid scalar mixing using numerical data", number = "198169", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1995", LCCN = "NAS 1.26:198169 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 96-0033-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1995] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "computational fluid dynamics; isotropic turbulence; reacting flow; scalars; turbulence models; turbulent flow; turbulent mixing", } @Book{Golub:1995:WRD, author = "Gene H. Golub and James M. Ortega", title = "{Wissenschaftliches Rechnen und Differentialgleichungen: Eine Einf{\"u}hrung in die numerische Mathematik} ({German}) [{English}: Scientific computing and differential equations: An introduction to numerical methods]", volume = "6", publisher = "Heldermann Verlag", address = "Berlin, Germany", pages = "xii + 330", year = "1995", ISBN = "3-88538-106-0", ISBN-13 = "978-3-88538-106-8", LCCN = "????", MRclass = "65-01", MRnumber = "1307380 (95g:65002)", bibdate = "Fri Dec 20 17:28:29 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Translated from the 1992 English original by Heinz Dalkowski", series = "Berliner Studienreihe zur Mathematik [Berlin Study Series on Mathematics]", acknowledgement = ack-nhfb, author-dates = "Gene Howard Golub (February 29, 1932--November 16, 2007)", language = "German", shorttableofcontents = "Vorwort / viii \\ Vorwort zur deutschen {\"U}bersetzung / xi \\ 1: Die Welt des wissenschaftlichen / Rechnens \\ 2: Packen wir's an: / Anfangswertprobleme \\ 3: Nageln wir's fest: / Randwertprobleme \\ 4: Mehr {\"u}ber lineare / Gleichungssysteme \\ 5: Im wirklichen Leben geht's nichtlinear / zu \\ 6: Gibt es noch etwas anderes als finite / Differenzen? \\ 7: Die Glorreichen / n \\ 8: Raum und Zeit \\ 9: Ausflug in h{\"o}here / Dimensionen \\ Anhang 1: Analysis und Differentialgleichungen / 307 \\ Anhang 2: Lineare Algebra / 311 \\ Literaturverzeichnis / 317 \\ Stichwortverzeichnis / 323", tableofcontents = "Vorwort / viii \\ Vorwort zur deutschen {\"U}bersetzung / xi \\ 1: Die Welt des wissenschaftlichen / Rechnens \\ 1.1 Was ist wissenschaftliches Rechnen? / 1 \\ 1.2 Mathematische Modellierung / 4 \\ 1.3 Der numerische L{\"o}sungsproze{\ss} / 7 \\ 1.4 Die EDV-Umgebung / 12 \\ 2: Packen wir's an: / Anfangswertprobleme \\ 2.1 Beispiele f{\"u}r Anfangswertprobleme / 17 \\ 2.2 Einschritt-Verfahren / 22 \\ 2.3 Polynom Interpolation / 40 \\ 2.4 Mehr schrittverfahren / 47 \\ 2.5 Stabilit{\"a}t, Instabilit{\"a}t und steife Gleichungen / 57 \\ 3: Nageln wir's fest: / Randwertprobleme \\ 3.1 Die Methode finiter Differenzen f{\"u}r lineare Probleme / 69 \\ 3.2 Die L{\"o}sung des diskretisierten Problems / 82 \\ 4: Mehr {\"u}ber lineare / Gleichungssysteme \\ 4.1 Einf{\"u}hrung und Methoden kleinster Quadrate / 91 \\ 4.2 Das Gau{\ss}sche Eliminationsverfahren / 102 \\ 4.3 Austausch von Gleichungen / 113 \\ 4.4 Schlechte Kondition und Fehleranalyse / 122 \\ 4.5 Weitere Zerlegungen / 132 \\ 5: Im wirklichen Leben geht's nichtlinear / zu \\ 5.1 Nichtlineare Probleme und Schie{\ss}verfahren / 143 \\ 5.2 Die L{\"o}sung einer einzelnen nichtlinearen Gleichung / 147 \\ 5.3 Systeme nichtlinearer Gleichungen / 164 \\ 6: Gibt es noch etwas anderes als finite / Differenzen? \\ 6.1 Einf{\"u}hrung in Projektionsmethoden / 177 \\ 6.2 Spline Approximation / 185 \\ 6.3 Numerische Integration / 191 \\ 6.4 Das diskrete Problem bei der Verwendung von Splinefunktionen / 199 \\ 7: Die Glorreichen / n \\ 7.1 Eigenwertprobleme / 209 \\ 7.2 Das QR-Verfahren / 221 \\ 7.3 Weitere iterative Methoden / 231 \\ 8: Raum und / Zeit \\ 8.1 Partielle Differentialgleichungen / 245 \\ 8.2 Explizite Verfahren und Stabilit{\"a}t / 251 \\ 8.3 Implizite Verfahren / 260 \\ 8.4 Halbdiskrete Verfahren / 264 \\ 9: Ausflug in h{\"o}here / Dimensionen \\ 9.1 Zwei und drei Raumdimensionen / 271 \\ 9.2 Direkte Verfahren / 281 \\ 9.3 Iterative Verfahren / 289 \\ Anhang 1: Analysis und Differentialgleichungen / 307 \\ Anhang 2: Lineare Algebra / 311 \\ Literaturverzeichnis / 317 \\ Stichwortverzeichnis / 323", } @Book{Gottling:1995:MAC, author = "James G. Gottling", title = "Matrix Analysis of Circuits Using {MATLAB}", publisher = pub-PH, address = pub-PH:adr, pages = "viii + 130", year = "1995", ISBN = "0-13-127044-3", ISBN-13 = "978-0-13-127044-2", LCCN = "TK7867.G633 1995", bibdate = "Tue Jun 25 12:10:38 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "Circuits -- Analysis -- Use of -- Computers; Electric circuit analysis -- Data processing; Electronic circuits -- Data processing; MATLAB", } @PhdThesis{Guclu:1995:RFR, author = "Ceylan Celil Guclu", title = "Radio frequency resonator analysis using analytical, numerical and experimental methods", type = "Thesis (Ph.D.) in Radiological Sciences", school = "University of California, Irvine", address = "Irvine, CA, USA", pages = "xv + 96", year = "1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- University of California, Irvine --- Radiological Sciences", } @Book{Hanselman:1995:SEM, author = "Duane C. Hanselman and Bruce Littlefield", title = "The Student Edition of {Matlab}: High-Performance Numeric Computation and Visualization Software: Version 4 User's Guide", publisher = pub-PH, address = pub-PH:adr, pages = "xii + 833", year = "1995", ISBN = "0-13-184979-4, 0-13-184995-6 (Windows version), 0-13-184987-5 (Macintosh version), 0-13-459207-7 (Macintosh\slash Power Macintosh version)", ISBN-13 = "978-0-13-184979-2, 978-0-13-184995-2 (Windows version), 978-0-13-184987-7 (Macintosh version), 978-0-13-459207-7 (Macintosh\slash Power Macintosh version)", LCCN = "QA297 .S8427 1995", bibdate = "Tue Jun 25 12:05:09 MDT 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "The MATLAB curriculum series", acknowledgement = ack-nhfb, annote = "With 5 computer disks. In case. Version number on container: 4.0. ``40204.'' Title from disk label. User's guide -- External interface guide -- Building a graphical user interface -- New features guide -- Release notes -- Reference guide -- Installation guide -- Handle graphics quick reference -- MATLAB quick reference -- Read me first folder. Provides engineers, scientists, and other technical professionals with a single interactive system that integrates numeric computation and visualization. A high performance, programmable, and open environment, MATLAB promotes enormous gains in productivity and creativity. System requirements: 20 MB disk space; 16 MB RAM; 64 MB swap space. Other system requirements depend on the particular platform on which you are running MATLAB.", keywords = "Mathematics -- Use of -- Computers; MATLAB; Numerical analysis -- Data processing", } @Book{Herzberger:1995:WRG, editor = "J{\"u}rgen Herzberger", title = "{Wissenschaftliches Rechnen} ({German}) [{Scientific} Computation]", publisher = pub-AKADEMIE-VERLAG, address = pub-AKADEMIE-VERLAG:adr, pages = "321", year = "1995", ISBN = "3-05-501680-7 (paperback), 3-05-501694-7", ISBN-13 = "978-3-05-501680-6 (paperback), 978-3-05-501694-3", MRclass = "65-01", MRnumber = "1383364 (97i:65002)", MRreviewer = "Michael Plum", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Eine Einf{\"u}hrung in das Scientific Computing. [An introduction to scientific computing]", URL = "http://d-nb.info/945248083/04; http://www.gbv.de/dms/hbz/toc/ht006736464.pdf", acknowledgement = ack-nhfb, language = "German", xxpages = "323", } @Book{Kowalski:1995:STA, author = "Marek A. Kowalski and Krzysztof A. Sikorski and Frank Stenger", title = "Selected Topics in Approximation and Computation", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xiv + 349", year = "1995", ISBN = "0-19-508059-9", ISBN-13 = "978-0-19-508059-9", MRclass = "41-02 (65Dxx 68Q25)", MRnumber = "MR1418861 (97k:41001)", MRreviewer = "D. Leviatan", bibdate = "Thu May 10 16:31:10 2007", bibsource = "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Theory/complexity.information.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib; https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Theory/complexity.information.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", URL = "http://site.ebrary.com/lib/utah/Doc?id=10087215", ZMnumber = "0839.41001", abstract = "As is mentioned in the Preface, this book covers basic results of approximation theory. It contains also new developments in the theory of moments and Sinc approximation, $n$-widths, $s$-numbers and relationship of these to computational algorithms. The volume consists of 8 chapters. The chapter headings are: (1) Classical approximation; (2) Splines; (3) Sinc approximation; (4) Explicit Sinc-like methods; (5) Moment problems; (6) $n$-widths and $s$-numbers; (7) Optimal approximation methods; (8) Applications.\par Chapter 1 covers basic concepts of classical approximation. The theory of best approximation is presented in the setting of normed spaces. The authors discuss best approximation in unitary spaces, including several practically important examples. Concepts of approximation in the uniform norm are presented in Banach space setting.\par Chapter 2 provides an introduction to basic classes of polynomial splines and $B$-splines, which have variation-diminishing properties when used to approximate data. It is underlined that splines provide useful methods of approximation in the important areas of computer-aided geometric design and for representing computer graphics displays.\par In chapter 3 the authors present the Sinc methods as a new family of self-contained methods of approximation, which have several advantages over classical methods of approximation in the case of the presence of end-point singularities, when we have a semi-infinite or infinite interval of approximation, or in the case of the presence of a boundary layer situation. They introduce methods of approximation and inversion of Laplace and Hilbert transforms.\par In chapter 4 is presented a family of simple rational functions, which make possible the explicit and arbitrarily accurate rational approximation of the filter, the step and impulse functions.\par In Chapter 5 the moment problems are discussed in the setting of approximation theory, including discrete and continuous moment problems of Hausdorff, Stieltjes and Hamburger, as well as the discrete and continuous trigonometric moment problems.\par Chapter 6 deals with $n$-widths and $s$-numbers, which provide conceptional generalizations of the classical concepts of best approximation.\par In chapter 7 are discussed optimal methods of approximation and optimal algorithms for general, nonlinear approximation problems. The investigation is made in the general setting of normed spaces.\par Chapter 8 contains applications of the approximation procedures presented in the previous chapters. They discuss the solution of Burger's equation, the approximation of band-limited signals and a nonlinear zero-finding problem. Each section of the book ends with a set of exercises, annotations, specific comments and references. This important book can be of great interest to graduate students and researchers in approximation, constructive function theory and numerical methods.", acknowledgement = ack-nhfb, classmath = "*41-02 (Research monographs (approximations and expansions)) 41A10 (Approximation by polynomials) 41A15 (Spline approximation) 65D15 (Algorithms for functional approximation) 65D17 (Computer aided design (modeling of curves and surfaces)) 65Y20 (Complexity and performance of numerical algorithms)", keywords = "moment problems; optimal approximation; splines", remark = "In the fall of 1996, the authors were awarded ``First Prize of the Secretary of National Education in Poland'', for the research leading to the publication of this monograph. This is the most prestigious research award in Poland, and is awarded annually to only selected groups of researchers.", reviewer = "D. D. Stancu (Cluj-Napoca)", } @Book{Kythe:1995:IBE, author = "Prem K. Kythe", title = "An introduction to boundary element methods", publisher = pub-CRC, address = pub-CRC:adr, pages = "xvi + 368", year = "1995", ISBN = "0-8493-7377-8", ISBN-13 = "978-0-8493-7377-0", LCCN = "TA347.B69 K98 1995", MRclass = "65-01 (65N38)", MRnumber = "1396530 (98g:65002)", MRreviewer = "Wu Zhang", bibdate = "Tue May 27 08:34:57 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "With 1 IBM-PC floppy disk (3.5 inch; HD)", URL = "http://www.loc.gov/catdir/enhancements/fy0744/95007136-d.html", acknowledgement = ack-nhfb, subject = "Boundary element methods", } @Manual{Lacasse:1995:IMS, author = "James M. Lacasse", title = "Implementation of a multiblock sensitivity analysis method in numerical aerodynamic shape optimization: abstract", number = "NASA CR-199784", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1995", LCCN = "NAS 1.26:199784 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 96-0197-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1995] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "aerodynamic characteristics; aerodynamic configurations; computational fluid dynamics; decomposition; multigrid methods; Navier--Stokes equation; sensitivity; supercritical airfoils; trajectory optimization", } @Book{Lokutsievskii:1995:NCA, author = "O. V. Lokutsievski{\u\i} and M. B. Gavrikov", title = "Nachala chislennogo analiza. ({Russian}) [Beginning numerical analysis]", publisher = "TOO ``Yanus''", address = "Moscow, Russia", pages = "581", year = "1995", ISBN = "5-88929-004-5", ISBN-13 = "978-5-88929-004-9", MRclass = "65-01", MRnumber = "1460265 (98f:65001)", MRreviewer = "W. Govaerts", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "With a preface by V. M. Tikhomirov", acknowledgement = ack-nhfb, language = "Russian", } @Manual{Merritt:1995:CTF, author = "Michael L. Merritt", title = "Computation of the time-varying flow rate from an artesian well in central {Dade County, Florida}, by analytical and numerical simulation methods", number = "94-457", organization = "Earth Science Information Center, Open-File Reports Section [distributor]", address = "Reston, VA, USA", pages = "????", year = "1995", LCCN = "uncataloged mf11", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 97-0273-M. Microfiche. [Denver, Colo.: U.S. Geological Survey, 1997] 1 microfiche.", series = "U.S. Geological Survey open-file report", acknowledgement = ack-nhfb, keywords = "artesian wells --- Florida --- Dade County; groundwater flow --- Florida --- Dade County", } @Book{Morand:1995:FSI, author = "H. J.-P Morand and R. Ohayon", title = "Fluid structure interaction: applied numerical methods", publisher = pub-MASSON, address = pub-MASSON:adr, pages = "viii + 212", year = "1995", ISBN = "0-471-94459-9 (Wiley), 2-225-84682-0 (Masson)", ISBN-13 = "978-0-471-94459-1 (Wiley), 978-2-225-84682-3 (Masson)", LCCN = "TA357.5.F58 M67 1995", bibdate = "Thu Oct 31 18:10:27 2002", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Translation by Claude Andrew James of: Interactions fluides-structures. Paris: Masson, 1992.", acknowledgement = ack-nhfb, keywords = "engineering mathematics; fluid dynamics -- mathematical models; fluid-structure interaction -- mathematical models", } @Book{Nyhoff:1995:FNM, author = "Larry R. Nyhoff and Sanford Leestma", title = "{Fortran 77} and Numerical Methods for Engineers and Scientists", publisher = pub-PH, address = pub-PH:adr, pages = "xviii + 764", month = apr, year = "1995", ISBN = "0-02-388741-9 (paperback)", ISBN-13 = "978-0-02-388741-3 (paperback)", LCCN = "QA 76.73 F25 N89 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "http://www.amazon.com/exec/obidos/ISBN=0023887419/wholesaleproductA/; http://www.cbooks.com/; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Includes an introduction to FORTRAN 90.", price = "US\$65.00", URL = "http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=0023887419", acknowledgement = ack-nhfb, annote = "Includes index. Computer disc in pocket attached to inside back cover.", keywords = "Programming languages; {Fortran 77} (Computer program language)", } @Manual{Paxson:1995:NMD, author = "Daniel E. Paxson", title = "A numerical model for dynamic wave rotor analysis", volume = "106997", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1995", LCCN = "NAS 1.15:106997 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 96-0021-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1995] 1 microfiche.", series = "NASA technical memorandum", acknowledgement = ack-nhfb, keywords = "computational fluid dynamics; gas generators; gas turbine engines; mathematical models; rotor aerodynamics; rotors", } @Book{Penny:1995:NMU, author = "J. E. T. (John E. T.) Penny and G. R. Lindfield", title = "Numerical methods using {MATLAB}", publisher = pub-ELLIS-HORWOOD, address = pub-ELLIS-HORWOOD:adr, pages = "xii + 328", year = "1995", ISBN = "0-13-030966-4 (paperback)", ISBN-13 = "978-0-13-030966-2 (paperback)", LCCN = "QA297 .P45 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Errata slip inserted.", price = "US\$40.00", acknowledgement = ack-nhfb, keywords = "Matlab; numerical analysis --- data processing", } @Book{Shen:1995:SMP, author = "Shan-Fu Shen and Paul R. Dawson", title = "Simulation of materials processing: theory, methods and applications: proceedings of the Fifth International Conference on Numerical Methods in Industrial Forming Processes --- {NUMIFORM} '95, Ithaca\slash New {York\slash USA\slash 18--21} June, 1995", publisher = "A. A. Balkema", address = "Brookfield, VT, USA", pages = "xviii + 1221", year = "1995", ISBN = "90-5410-553-4", ISBN-13 = "978-90-5410-553-4", LCCN = "TS205 .I57 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "metal-work --- mathematical models --- congresses; numerical calculations --- congresses; polymers -- mathematical models --- congresses", } @PhdThesis{Shinnerl:1995:KIM, author = "Joseph R. Shinnerl", title = "{KKT}-based interior-point methods for numerical optimization", type = "Thesis (Ph.D.)", school = "University of California, San Diego", address = "San Diego, CA, USA", pages = "xiii + 228", year = "1995", LCCN = "QA 3.6 .S5444 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCSD --- mathematics", } @Book{Skeel:1995:ENC, author = "Robert D. Skeel and Jerry B. Keiper", title = "Elementary Numerical Computing with {Mathematica}", publisher = "Kyoritsu Suppan", address = "??, Japan", pages = "410", year = "1995", ISBN = "4-320-01488-X", ISBN-13 = "978-4-320-01488-6", LCCN = "????", bibdate = "Sat Apr 06 19:06:38 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Japanese translation of \cite{Skeel:1993:ENC}.", acknowledgement = ack-nhfb, } @Book{Strehmel:1995:NGD, author = "Karl Strehmel and R{\"u}diger Weiner", title = "{Numerik gew{\"o}hnlicher Differentialgleichungen}. ({German}) [{Numerical} Solution of Ordinary Differential Equations]", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, pages = "462", year = "1995", ISBN = "3-519-02097-1", ISBN-13 = "978-3-519-02097-4", MRclass = "65-01 (34A09 34A45 65Lxx)", MRnumber = "1372521 (97k:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Teubner Studienb{\"u}cher Mathematik. [Teubner Mathematical Textbooks]", acknowledgement = ack-nhfb, language = "German", } @Book{Thomas:1995:NPD, author = "J. W. (James William) Thomas", title = "Numerical partial differential equations: {[Part 1]}: finite difference methods", volume = "22", publisher = pub-SV, address = pub-SV:adr, pages = "xx + 437", year = "1995", ISBN = "0-387-97999-9 (vol. 1)", ISBN-13 = "978-0-387-97999-1 (vol. 1)", LCCN = "QA377 .T495 1995", MRclass = "65-01 (65M06 65N06)", MRnumber = "1367964 (97a:65001)", MRreviewer = "Luciano Biasini", bibdate = "Tue May 27 08:37:16 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Texts in Applied Mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0815/95017143-d.html; http://www.loc.gov/catdir/enhancements/fy0815/95017143-t.html", acknowledgement = ack-nhfb, author-dates = "1941--", subject = "Differential equations, Partial; Numerical solutions; Finite differences", } @Book{Tikhonov:1995:NMS, author = "A. N. Tikhonov", title = "Numerical methods for the solution of ill-posed problems", volume = "328", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "ix + 253", year = "1995", ISBN = "0-7923-3583-X (hardcover)", ISBN-13 = "978-0-7923-3583-2 (hardcover)", LCCN = "QA297 .C48313 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Mathematics and its applications", acknowledgement = ack-nhfb, keywords = "numerical analysis --- improperly posed problems; numerical analysis --- improperly posed problems --- data processing", } @Manual{Vandergrift:1995:NMA, author = "Thomas L. Vandergrift and Charles V. Jude", title = "Numerical modeling analysis of stress transfer modification concepts for deep longwall mines", volume = "9579", organization = "U.S. Dept. of the Interior, Bureau of Mines", address = "Pittsburgh, PA, USA", pages = "43", year = "1995", LCCN = "TN23.U7 no. 9579 mf11", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 96-0482-M", series = "Report of investigations", acknowledgement = ack-nhfb, keywords = "gate roads (mining) --- mathematical models; ground control (mining) --- mathematical models; longwall mining --- mathematical models", } @Manual{Vijayaraghavan:1995:ENP, author = "D. Vijayaraghavan", title = "An efficient numerical procedure for thermodydrodynamic [sic] analysis of cavitating bearings", number = "195476", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 96-0467-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1995] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "cavitation flow; computational fluid dynamics; fluid films; hydrodynamic equations; journal bearings; lubrication; temperature profiles; thermal analysis", } @PhdThesis{Zeitzew:1995:NMN, author = "Michael Alan Zeitzew", title = "Numerical methods for nonlinear ordinary differential equations with different time-scales", type = "Thesis (Ph.D.)", school = "University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "xi + 154", year = "1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCLA --- mathematics", } @Book{Zorkaletisev:1995:MNK, author = "V. I. (Valeri{\u{\i}} Ivanovich) Zorkal{\"e}t{\'\i}sev and E. G. (Evgeni{\u{\i}} Georgievich) An{\"e}t{\'\i}siferov and V. P. (Valer{\"e}i{\'\i}an Pavlovich) Bulatov", title = "Metod naimenshikh kvadratov: geometricheskie svoistva, alternativnye podkhody, prilozheni{\"e}i{\u\i}a. ({Russian}) [Least-squares method: geometric properties, alternative approaches, applications]", publisher = "VO ``Nauka''", address = "Novosibirsk, Russia", pages = "218", year = "1995", ISBN = "5-02-030676-2", ISBN-13 = "978-5-02-030676-9", LCCN = "QA275 .Z67 1995", bibdate = "Tue May 27 08:35:05 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, language = "Russian", remark = "``Nauchnoe izdanie''--Colophon. At head of title: Rossi\?iska{\"e}i{\`\i}a akademi{\"e}i{\`\i}a nauk. Sibirskoe otdelenie. Sibirski\?i {\c{c}}energeticheski\?i institut.", subject = "Least squares", } @Book{Zorkaltsev:1995:MNK, author = "V. I. Zorkal{\cprime}tsev", title = "Metod naimenshikh kvadratov. ({Russian}) [{Least}-squares method]", publisher = "VO ``Nauka'', Novosibirsk", pages = "220", year = "1995", ISBN = "5-02-030676-2", ISBN-13 = "978-5-02-030676-9", MRclass = "65-01 (90-01)", MRnumber = "1369777", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Geometricheskie svoistva, alternativnye podkhody, prilozheniya [Geometric properties, alternative approaches, applications]", acknowledgement = ack-nhfb, language = "Russian", } @Book{Acton:1996:RCM, author = "Forman S. Acton", title = "Real Computing Made Real: {Preventing} Errors in Scientific and Engineering Calculations", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "xv + 259", year = "1996", ISBN = "0-691-03663-2", ISBN-13 = "978-0-691-03663-2", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", } @InProceedings{Adzic:1996:LDA, author = "Nevenka Ad{\v{z}}i{\'c}", title = "A low-degree approximation for layer solution of singularly perturbed problems", crossref = "Alefeld:1996:NME", volume = "89", pages = "9--15", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Akishin:1996:NSN, author = "Pavel G. Akishin and Igor V. Puzynin and Yuri S. Smirnov", title = "On numerical solving of nonlinear {Polaron} equations", crossref = "Renegar:1996:MNA", volume = "32", pages = "19--28", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Alefeld:1996:SLS, author = "G. Alefeld and V. Kreinovich and G. Mayer", title = "Symmetric linear systems with perturbed input data", crossref = "Alefeld:1996:NME", volume = "89", pages = "16--22", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Allgower:1996:SRN, author = "Eugene L. Allgower and Philip J. Aston", title = "Symmetry reductions for the numerical solution of boundary value problems", crossref = "Renegar:1996:MNA", volume = "32", pages = "29--48", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @TechReport{Anonymous:1996:SNA, author = "Anonymous", title = "Study on numerical analysis of structures", number = "94k3-1402-06-01-3. 1996.2", institution = "Advanced Structure Research Station, Hanyang University", address = "South Korea", pages = "xi + 111", year = "1996", LCCN = "500 S763 96--24", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "In Korean, abstract in English. Title also in Korean. {Hanyang Taehakkyo. Advanced Structure Research Station}", acknowledgement = ack-nhfb, keywords = "numerical analysis; structural analysis (engineering); structural engineering --- research --- Korea (South)", } @InProceedings{Atanassova:1996:CIM, author = "L. Atanassova and A. Andreev and N. Kjurkchiev", title = "Combined iterative methods based on a modification of the {Koenig} theorem", crossref = "Alefeld:1996:NME", volume = "89", pages = "23--37", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Book{Ayyub:1996:NME, author = "Bilal M. Ayyub and Richard H. McCuen", title = "Numerical methods for engineers", publisher = pub-PH, address = pub-PH:adr, pages = "xix + 362", year = "1996", ISBN = "0-13-337361-4", ISBN-13 = "978-0-13-337361-5", LCCN = "TA335 .A99 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "engineering mathematics; numerical analysis", } @InProceedings{Bajaj:1996:CRA, author = "Chandrajit L. Bajaj", title = "The combinatorics of real algebraic splines over a simplicial complex", crossref = "Renegar:1996:MNA", volume = "32", pages = "49--58", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Barrow:1996:SOM, author = "David Barrow", title = "Solving {ODEs} with {Maple V}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Preliminary", pages = "viii + 154", year = "1996", ISBN = "0-534-34402-X", ISBN-13 = "978-0-534-34402-3", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "Differential equations -- Numerical solutions -- Computer; Maple (Computer file); programs.", } @InProceedings{Barth:1996:USA, author = "W. Barth", title = "Using special arithmetic in geometric algorithms", crossref = "Alefeld:1996:NME", volume = "89", pages = "38--47", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; interval arithmetic; numerical methods", } @InProceedings{Basermann:1996:QTM, author = "Achim Basermann", title = "{QMR} and {TFQMR} methods for sparse nonsymmetric polymers on massively parallel systems", crossref = "Renegar:1996:MNA", volume = "32", pages = "59--76", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Beale:1996:FST, author = "Mark H. Beale and Howard B. Demuth", title = "Fuzzy systems toolbox for use with {MATLAB}", publisher = pub-PWS, address = pub-PWS:adr, edition = "Student, {Mac} version", pages = "1 computer disk", year = "1996", ISBN = "0-534-95258-5 (disk), 0-534-94579-1 (manual)", ISBN-13 = "978-0-534-95258-7 (disk), 978-0-534-94579-4 (manual)", LCCN = "QA297", bibdate = "Mon Oct 26 07:32:49 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "PWS productivity tools", acknowledgement = ack-nhfb, annote = "Title from disk label. Designs, simulates, and tests fuzzy systems within the MATLAB environment. Supplements MATLAB by performing numerical calculations and graphic visualizations. Includes sample fuzzy systems applications. System requirements: Macintosh PC; MATLAB. Macintosh PC", keywords = "Fuzzy systems -- Software; Numerical analysis -- Software", } @InProceedings{Beatson:1996:MTT, author = "R. K. Beatson and G. Goodsell and M. J. D. Powell", title = "On multigrid techniques for thin plate spline interpolation in two dimensions", crossref = "Renegar:1996:MNA", volume = "32", pages = "77--98", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Berry:1996:SMR, author = "Michael W. Berry and Bruce Hendrickson and Padma Raghavan", title = "Sparse matrix reordering schemes for browsing hypertext", crossref = "Renegar:1996:MNA", volume = "32", pages = "99--124", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Bittnar:1996:NMS, author = "Zdenek Bittnar and Jiri Sejnoha", title = "Numerical methods in structural mechanics", publisher = "Thomas Telford", address = "London", pages = "422", year = "1996", ISBN = "0-7844-0170-5", ISBN-13 = "978-0-7844-0170-5", LCCN = "TA645 .B59 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis; structural analysis (engineering)", } @Book{Bjorck:1996:NML, author = "Ake Bjorck", title = "Numerical methods for least squares problems", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xvii + 408", year = "1996", ISBN = "0-89871-360-9 (paperback)", ISBN-13 = "978-0-89871-360-2 (paperback)", LCCN = "QA 214 B56 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "equations, simultaneous --- numerical solutions; least squares", } @InProceedings{Blum:1996:ASP, author = "Lenore Blum and Felipe Cucker and Mike Shub and Steve Smale", title = "Algebraic settings for the problems ``{P} not equal to {NP}?''", crossref = "Renegar:1996:MNA", volume = "32", pages = "125--144", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Brown:1996:NAC, author = "B. M. Brown and M. S. P. Eastham and D. K. R. McCormack", title = "A new algorithm for computing the spectral matrix for higher-order differential equations and the location of discrete eigenvalues", crossref = "Renegar:1996:MNA", volume = "32", pages = "145--156", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Bull:1996:NAM, author = "John W. Bull", title = "Numerical analysis and modelling of composite materials", publisher = "Blackie Academic and Professional", address = "New York", pages = "xvii + 441", year = "1996", ISBN = "0-7514-0239-7", ISBN-13 = "978-0-7514-0239-1", LCCN = "TA418.9.C6 N85 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "composite materials; composite materials -- mathematical models", } @InProceedings{Calvin:1996:AON, author = "James M. Calvin", title = "An asymptotically optimal non-adaptive algorithm for minimization of {Brownian} motion", crossref = "Renegar:1996:MNA", volume = "32", pages = "157--164", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Cardinal:1996:AAR, author = "J.-P. Cardinal and B. Mourrain", title = "Algebraic approach of residues and applications", crossref = "Renegar:1996:MNA", volume = "32", pages = "189--210", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Cardinal:1996:TIM, author = "Jeal-Paul Cardinal", title = "On two iterative methods for approximating the roots of a polynomial", crossref = "Renegar:1996:MNA", volume = "32", pages = "165--188", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Cavallo:1996:UMS, author = "Alberto Cavallo and Roberto Setola and Francesco Vasca", title = "Using {MATLAB}, {Simulink}, and {Control Toolbox}: a practical approach", publisher = pub-PH, address = pub-PH:adr, pages = "x + 405", year = "1996", ISBN = "0-13-261058-2 (paperback)", ISBN-13 = "978-0-13-261058-2 (paperback)", LCCN = "QA297.C3713 1996", bibdate = "Tue Jun 25 12:05:09 MDT 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, alttitle = "Guida operativa a MATLAB, Simulink e Control Toolbox. English", keywords = "Control system toolbox (Computer file); Control theory -- Data processing; MATLAB; Numerical analysis -- Data processing; SIMULINK; System analysis -- Data processing", } @Book{Cerrolaza:1996:NME, author = "M. Cerrolaza and C. Gajardo and C. A. Brebbia", title = "Numerical methods in engineering simulation", publisher = "Computational Mechanics Publications", address = "Boston", pages = "412", year = "1996", ISBN = "1-85312-475-3", ISBN-13 = "978-1-85312-475-4", LCCN = "TA342.I566 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Third International Congress on Numerical Methods in Engineering and Applied Sciences (CIMENICS '96), Merida, Venezuela, 25--29 March 1996.", acknowledgement = ack-nhfb, keywords = "engineering --- mathematical models --- data processing --- congresses; engineering mathematics --- data processing --- congresses", } @Book{Chaitin-Chatelin:1996:LFP, author = "Fran{\c{c}}oise Chaitin-Chatelin and Val{\'e}rie Frayss{\'e}", title = "Lectures on Finite Precision Computations", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xvi + 235", year = "1996", ISBN = "0-89871-358-7", ISBN-13 = "978-0-89871-358-9", LCCN = "QA297 .C417 1996", MRclass = "65G05 (65-02 65F35)", MRnumber = "MR1381897 (97b:65059)", MRreviewer = "H. Ratschek", bibdate = "Mon Jan 2 09:11:24 2006", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; library.mit.edu:9909/mit01; z3950.loc.gov:7090/Voyager", note = "With a foreword by Iain S. Duff", series = "Software, Environments, and Tools", acknowledgement = ack-nhfb, keywords = "Matlab", subject = "Numerical calculations; Data processing; Error analysis (Mathematics); numerical calculations; data processing; error analysis (mathematics); toolbox PRECISE", tableofcontents = "1. General Presentation \\ 2. Computability in Finite Precision \\ 3. Measures of Stability for Regular Problems \\ 4. Computation in the Neighbourhood of a Singularity \\ 5. Arithmetic Quality of Reliable Algorithms \\ 6. Numerical Stability in Finite Precision \\ 7. Software Tools for Round-Off Error Analysis in Algorithms \\ 8. The Toolbox PRECISE for Computer Experimentation \\ 9. Experiments with PRECISE \\ 10. Robustness to Nonnormality \\ 11. Qualitative Computing \\ 12. More Numerical Illustrations with PRECISE \\ Annex: The Toolbox PRECISE for MATLAB.", xxpages = "xv + 235", } @Book{Coombes:1996:DEM, author = "Kevin Robert Coombes and others", title = "Differential equations with {Maple}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "v + 232", year = "1996", ISBN = "0-471-10875-8", ISBN-13 = "978-0-471-10875-7", LCCN = "QA371.5.D37D53 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "Differential equations -- Numerical solutions -- Data processing; Differential equations -- Use of -- Computers; Maple (Computer file)", } @InProceedings{Corliss:1996:WVO, author = "George F. Corliss", title = "Where is validated {ODE} solving going?", crossref = "Alefeld:1996:NME", volume = "89", pages = "48--57", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; interval arithmetic; numerical methods", } @Book{Crandall:1996:TAS, author = "Richard E. Crandall", title = "Topics in Advanced Scientific Computation", publisher = pub-TELOS, address = pub-TELOS:adr, pages = "ix + 340", year = "1996", DOI = "https://doi.org/10.1007/978-1-4612-2334-4", ISBN = "0-387-94473-7", ISBN-13 = "978-0-387-94473-9", LCCN = "QA9.58.C73 1996", MRclass = "65-02 (68-02 68Q40)", MRnumber = "1392472 (97g:65005)", MRreviewer = "Ian Gladwell", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Includes programs in C and Mathematica.", price = "US\$39.95", acknowledgement = ack-nhfb, xxpages = "xii + 340", } @InProceedings{Cucker:1996:NTN, author = "Felipe Cucker and Thomas Lickteig", title = "{Nash} trees and {Nash} complexity", crossref = "Renegar:1996:MNA", volume = "32", pages = "211--224", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Dahmen:1996:OEM, author = "Wolfgang Dahmen and Angela Kunoth and Reinhold Schneider", title = "Operator equations, multiscale concepts and complexity", crossref = "Renegar:1996:MNA", volume = "32", pages = "225--262", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Dedieu:1996:ASN, author = "Jean-Pierre Dedieu", title = "Approximate solutions for numerical problems, condition number analysis and condition number theorem", crossref = "Renegar:1996:MNA", volume = "32", pages = "263--284", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Dedieu:1996:CDP, author = "J. P. Dedieu and X. Gourdon and J. C. Yakoubsohn", title = "Computing the distance from a point to an algebraic hypersurface", crossref = "Renegar:1996:MNA", volume = "32", pages = "285--294", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Desideri:1996:CMA, author = "J.-A. Desideri", title = "Computational methods in applied sciences '96: invited lectures and special technological sessions of the Third {ECCOMAS} Computational Fluid Dynamics Conference and the Second {ECCOMAS} Conference on Numerical Methods in Engineering, 9--13 September 1996, Paris, France", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xiii + 572", year = "1996", ISBN = "0-471-96226-0", ISBN-13 = "978-0-471-96226-7", LCCN = "TA357 .C5884 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "engineering mathematics --- congresses; fluid dynamics --- congresses", } @InProceedings{Diethelm:1996:EBC, author = "Kai Diethelm", title = "Error bounds for compound quadratures for {Hadamard}-type finite-part integrals", crossref = "Alefeld:1996:NME", volume = "89", pages = "58--63", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Dobronets:1996:TSM, author = "Boris S. Dobronets", title = "Two-sided methods based on defects", crossref = "Alefeld:1996:NME", volume = "89", pages = "64--73", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Dontchev:1996:LAN, author = "A. L. Dontchev", title = "Local analysis of a {Newton}-type method based on partial linearization", crossref = "Renegar:1996:MNA", volume = "32", pages = "295--306", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Dormand:1996:NMD, author = "John R. Dormand", title = "Numerical methods for differential equations: a computational approach", publisher = pub-CRC, address = pub-CRC:adr, pages = "xiv + 368", year = "1996", ISBN = "0-8493-9433-3", ISBN-13 = "978-0-8493-9433-1", LCCN = "QA372 .D67 1996", MRclass = "65-01 (65Lxx)", MRnumber = "1383317 (97c:65001)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 08:35:08 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "A computational approach, With 1 IBM-PC floppy disc (3.5 inch; HD)", series = "Library of Engineering Mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0744/95054095-d.html", acknowledgement = ack-nhfb, keywords = "differential equations --- numerical solutions", subject = "Differential equations; Numerical solutions", } @InProceedings{Eaves:1996:ACC, author = "B. Curtis Eaves and Uriel G. Rothblum", title = "Approximations and complexity for computing algebraic curves", crossref = "Renegar:1996:MNA", volume = "32", pages = "307--322", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Ehrich:1996:PEE, author = "Sven Ehrich", title = "Practical error estimates for the {Gauss--Kronrod} quadrature formula", crossref = "Alefeld:1996:NME", volume = "89", pages = "74--79", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Emiris:1996:NUP, author = "Ioannis Z. Emiris and Andr{\'e} Galligo and Henri Lombardi", title = "Numerical univariate polynomial {GCD}", crossref = "Renegar:1996:MNA", volume = "32", pages = "323--344", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Engeln-Mullges:1996:NAC, author = "Gisela Engeln-M{\"u}llges and Frank Uhlig", title = "Numerical algorithms with {C}", publisher = pub-SV, address = pub-SV:adr, pages = "xxii + 596", year = "1996", DOI = "https://doi.org/10.1007/978-3-642-80043-6", ISBN = "3-540-60530-4 (hardcover)", ISBN-13 = "978-3-540-60530-0 (hardcover)", LCCN = "QA297 .E56213 1996", MRclass = "65-01 (65-04)", MRnumber = "1402693 (97i:65001)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 08:35:11 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Appendix and CD-ROM with ANSI C programs by Albert Becker, J{\"u}rgen Dietel and Uli Eggermann, Translated from the seventh (1993) German edition by Maria Schon and Uhlig", URL = "http://www.loc.gov/catdir/enhancements/fy0815/96023158-d.html", acknowledgement = ack-nhfb, subject = "Numerical analysis; Computer programs; C (Computer program language)", } @Book{Engeln-Mullges:1996:NAF, author = "Gisela Engeln-Mullges and Frank Uhlig", title = "Numerical Algorithms With {Fortran}", publisher = pub-SV, address = pub-SV:adr, pages = "xxii + 602", month = nov, year = "1996", ISBN = "3-540-60529-0", ISBN-13 = "978-3-540-60529-4", LCCN = "QA297 .E56213 1996b Permanent Reserve", bibdate = "Sun Sep 28 10:42:07 MDT 1997", bibsource = "http://www.amazon.com/exec/obidos/ISBN=3540605290/wholesaleproductA/; http://www.cbooks.com/; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$49.95", URL = "http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=3540605290", acknowledgement = ack-nhfb, dimensions = "9.49in x 6.45in x 1.52in", hardcover = "yes", keywords = "Fortran 77 (computer program language); numerical analysis; numerical analysis -- computer programs", } @InProceedings{Erhel:1996:PPG, author = "J. Erhel", title = "A parallel preconditioned {GMRES} algorithm for sparse matrices", crossref = "Renegar:1996:MNA", volume = "32", pages = "345--356", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Manual{Fedkiw:1996:NMM, author = "Ronald P. Fedkiw and Barry Merriman and Stanley Osher", title = "Numerical methods for a mixture of thermally perfect and\slash or calorically perfect gaseous species with chemical reactions", number = "96--1", organization = "Dept. of Mathematics, University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "51", month = jan, year = "1996", LCCN = "QA 1 C36 no.96-1 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "CAM report", acknowledgement = ack-nhfb, } @Manual{Fedkiw:1996:NMO, author = "Ronald P. Fedkiw and Barry Merriman and Stanley Osher", title = "Numerical methods for a one-dimensional interface separating compressible and incompressible flows", number = "96--32", organization = "Dept. of Mathematics, University of California, Los Angeles", address = "Los Angeles", pages = "44", month = sep, year = "1996", LCCN = "QA 1 C36 no.96-32 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "CAM report", acknowledgement = ack-nhfb, } @Book{Fornberg:1996:PGP, author = "Bengt Fornberg", title = "A Practical Guide to Pseudospectral Methods", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "x + 231", year = "1996", DOI = "https://doi.org/10.1017/CBO9780511626357", ISBN = "0-521-49582-2", ISBN-13 = "978-0-521-49582-0", LCCN = "QA320 F65 1996", MRclass = "65-01 (00A06 65-00 65M70)", MRnumber = "1386891 (97g:65001)", MRreviewer = "Lawrence Mulholland", bibdate = "Sat Dec 24 11:53:05 MST 2005", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", series = "Cambridge Monographs on Applied and Computational Mathematics", URL = "http://www.loc.gov/catdir/description/cam027/95031986.html; http://www.loc.gov/catdir/toc/cam024/95031986.html", abstract = "Partial differential equations arise in almost all areas of science, engineering, modeling, and forecasting. During the last two decades pseudospectral methods have emerged as successful alternatives to better known computational procedures, (e.g. finite difference and finite element methods of numerical solution), in several key application areas. These areas include computational fluid dynamics, wave motion, and weather forecasting. This book explains how, when and why this pseudospectral approach works. In order to make the subject accessible to students as well as researchers and engineers, the subject is presented using illustrations, examples, heuristic explanations, and algorithms rather than rigorous theoretical arguments. This book will be of interest to graduate students, scientists and engineers interested in applying pseudospectral methods to real problems.", acknowledgement = ack-nhfb, bookformat = "Hardcover", category = "Engineering; Mechanical; Fluid Mechanics", DEWEY = "515/.7242 20", keywords = "Spectral theory (Mathematics), Finite differences", libnote = "Not in my library.", tableofcontents = "1: Introduction \\ 2: Introduction to spectral methods via orthogonal functions \\ 3: Introduction to PS methods via finite differences \\ 4: Key properties of PS approximations \\ 5: PS variations and enhancements \\ 6: PS methods in polar and spherical geometries \\ 7: Comparisons of computational cost for FD and PS methods \\ 8: Applications for spectral methods \\ Appendix A: Jacobi polynomials \\ Appendix B: Tau, Galerkin, and collocation (PS) implementations \\ Appendix C: Codes for algorithm to find FD weights \\ Appendix D: Lebesgue constants \\ Appendix E: Potential function estimate for polynomial interpolation error \\ Appendix F: FFT-based implementation of PS methods \\ Appendix G: Stability domains for some ODE solvers \\ Appendix H: Energy estimates", } @Book{Fosdick:1996:IHP, author = "Lloyd D. Fosdick and Elizabeth R. Jessup and Carolyn J. C. Schauble and Gitta Domik", title = "An Introduction to High-Performance Scientific Computing", publisher = pub-MIT, address = pub-MIT:adr, pages = "xxiii + 760", year = "1996", ISBN = "0-262-06181-3", ISBN-13 = "978-0-262-06181-0", LCCN = "QA76.A594 1996", bibdate = "Mon Sep 20 06:10:41 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/super.bib", price = "US\$65.00", series = "Scientific and Engineering Computation", URL = "http://www.mitpress.com/book-home.tcl?isbn=0262061813", acknowledgement = ack-nhfb, annote = "Covers IEEE arithmetic, UNIX, Fortran, MATLAB, IDL, and AVS.", } @Book{Fosdick:1996:IHS, author = "Lloyd D. Fosdick and Elizabeth R. Jessup and Carolyn J. C. Schauble and Gitta Domik", title = "An Introduction to High-Performance Scientific Computing", publisher = pub-MIT, address = pub-MIT:adr, pages = "xxiii + 760", year = "1996", ISBN = "0-262-06181-3", ISBN-13 = "978-0-262-06181-0", LCCN = "QA76 .A594 1996", bibdate = "Sat Jun 15 09:38:02 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$70.00", acknowledgement = ack-nhfb, libnote = "Not yet in my library.", } @InProceedings{Frank:1996:OAL, author = "Karin Frank", title = "An optimal algorithm for the local solution of integral equations", crossref = "Renegar:1996:MNA", volume = "32", pages = "357--380", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Galligani:1996:EAE, author = "E. Galligani and L. Zanni", title = "Error analysis of elimination methods for equality constrained quadratic programming problems", crossref = "Alefeld:1996:NME", volume = "89", pages = "107--112", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Book{Ganzha:1996:NSP, author = "Victor G. (Victor Grigorevich) Ganzha and Evgenii V. (Evgenii Vasilevich) Vorozhtsov", title = "Numerical solutions for partial differential equations: problem solving using {Mathematica}", publisher = pub-CRC, address = pub-CRC:adr, pages = "xii + 347", year = "1996", ISBN = "0-8493-7379-4", ISBN-13 = "978-0-8493-7379-4", LCCN = "QA377.G2345 1996", MRclass = "65-01", MRnumber = "1398881 (97g:65002)", MRreviewer = "T. C. Mohan", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Problem solving using {\i}t Mathematica, With 1 IBM-PC floppy disk (3.5 inch; HD)", series = "Symbolic and Numeric Computation Series", acknowledgement = ack-nhfb, keywords = "Differential equations, Partial --- Numerical solutions --- Data; Mathematica (Computer file); processing.", } @Book{Golub:1996:MC, author = "Gene H. Golub and Charles F. {Van Loan}", title = "Matrix Computations", publisher = pub-JOHNS-HOPKINS, address = pub-JOHNS-HOPKINS:adr, edition = "Third", pages = "xxvii + 694", year = "1996", ISBN = "0-8018-5413-X (hardcover), 0-8018-5414-8 (paperback)", ISBN-13 = "978-0-8018-5413-2 (hardcover), 978-0-8018-5414-9 (paperback)", LCCN = "QA188 .G65 1996", MRclass = "65-02 (65Fxx)", MRnumber = "1417720 (97g:65006)", bibdate = "Fri Nov 21 06:49:56 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Johns Hopkins Studies in the Mathematical Sciences", URL = "http://www.loc.gov/catdir/bios/jhu052/96014291.html; http://www.loc.gov/catdir/description/jhu051/96014291.html", acknowledgement = ack-njh # " and " # ack-nhfb # " and " # ack-rah, author-dates = "Gene H. Golub (1932--2007)", tableofcontents = "Preface to the Third Edition / xi \\ Software / xiii \\ Selected References / xv \\ 1: Matrix Multiplication Problems \\ 1.1 Basic Algorithms and Notation / 2 \\ 1.2 Exploiting Structure / 16 \\ 1.3 Block Matrices and Algorithms / 24 \\ 1.4 Vectorization and Re-Use Issues / 34 \\ 2: Matrix Analysis 48 V 2.1 Basic Ideas from Linear Algebra / 48 \\ 2.2 Vector Norms / 52 \\ 2.3 Matrix Norms / 54 \\ 2.4 Finite Precision Matrix Computations / 59 \\ 2.5 Orthogonality and the SVD / 69 \\ 2.6 Projections and the $CS$ Decomposition / 75 \\ 2.7 The Sensitivity of Square Linear Systems / 80 \\ 3: General Linear Systems / 87 \\ 3.1 Triangular Systems / 88 \\ 3.2 The $L U$ Factorization / 94 \\ 3.3 Roundoff Analysis of Gaussian Elimination / 104 \\ 3.4 Pivoting / 109 \\ 3.5 Improving and Estimating Accuracy / 123 \\ 4: Special Linear Systems / 133 \\ 4.1 The $L D M^T$ and $L D L^T$ Factorizations / 135 \\ 4.2 Positive Definite Systems / 140 \\ 4.3 Banded Systems / 152 \\ 4.4 Symmetric Indefinite Systems / 161 \\ 4.5 Block Systems / 174 \\ 4.6 Vandermonde Systems and the FFT / 183 \\ 4.7 Toeplitz and Related Systems / 193 \\ 5: Orthogonalization and Least Squares / 206 \\ 5.1 Householder and Givens Matrices / 208 \\ 5.2 The $Q R$ Factorization / 223 \\ 5.3 The Full Rank LS Problem / 236 \\ 5.4 Other Orthogonal Factorizations / 248 \\ 5.5 The Rank Deficient LS Problem / 256 \\ 5.6 Weighting and Iterative Improvement / 264 \\ 5.7 Square and Underdetermined Systems / 270 \\ 6: Parallel Matrix Computations / 275 \\ 6.1 Basic Concepts / 276 \\ 6.2 Matrix Multiplication / 292 \\ 6.3 Factorizations / 300 \\ 7: The Unsymmetric Eigenvalue Problem / 308 \\ 7.1 Properties and Decompositions / 310 \\ 7.2 Perturbation Theory / 320 \\ 7.3 Power Iterations / 330 \\ 7.4 The Hessenberg and Real Schur Forms / 341 \\ 7.5 The Practical $Q R$ Algorithm / 352 \\ 7.6 Invariant Subspace Computations / 362 \\ 7.7 The $Q Z$ Method for $A x = \lambda B x$ / 375 \\ 8: The Symmetric Eigenvalue Problem / 391 \\ 8.1 Properties and Decompositions / 393 \\ 8.2 Power Iterations / 405 \\ 8.3 The Symmetric $Q R$ Algorithm / 414 \\ 8.4 Jacobi Methods / 426 \\ 8.5 Tridiagonal Methods / 439 \\ 8.6 Computing the SVD / 448 \\ 8.7 Some Generalized Eigenvalue Problems / 461 \\ 9: Lanczos Methods / 470 \\ 9.1 Derivation and Convergence Properties / 471 \\ 9.2 Practical Lanczos Procedures / 479 \\ 9.3 Applications to $A x = b$ and Least Squares / 490 \\ 9.4 Arnoldi and Unsymmetric Lanczos / 499 \\ 10: Iterative Methods for Linear Systems / 508 \\ 10.1 The Standard Iterations / 509 \\ 10.2 The Conjugate Gradient Method / 520 \\ 10.3 Preconditioned Conjugate Gradients / 532 \\ 10.4 Other Krylov Subspace Methods / 544 \\ 11: Functions of Matrices / 555 \\ 11.1 Eigenvalue Methods / 556 \\ 11.2 Approximation Methods / 562 \\ 11.3 The Matrix Exponential / 572 \\ 12: Special Topics / 579 \\ 12.1 Constrained Least Squares / 580 \\ 12.2 Subset Selection Using the SVD / 590 \\ 12.3 Total Least Squares / 595 \\ 12.4 Computing Subspaces with the SVD / 601 \\ 12.5 Updating Matrix Factorizations / 606 \\ 12.6 Modified/Structured Eigenproblems / 621 \\ Bibliography / 637 \\ Index / 687", } @Book{Golub:1996:SC, author = "Gene Golub and James M. Ortega", title = "Scientific computing: {Eine Einf{\"u}hrung in das wissenschaftliche Rechnen und Parallele Numerik} ({German}) [{An} introduction to scientific computing and parallel numerics]", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, pages = "534", year = "1996", DOI = "https://doi.org/10.1007/978-3-322-82981-8", ISBN = "3-519-02969-3", ISBN-13 = "978-3-519-02969-4", MRclass = "65-01", MRnumber = "97c:65002", bibdate = "Fri Oct 17 06:10:36 2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Translated from the 1993 English original \cite{Golub:1993:SCI} and with a foreword by Rolf Dieter Grigorieff and Hartmut Schwandt.", URL = "http://link.springer.com/openurl?genre=book\%26isbn=978-3-519-02969-4", acknowledgement = ack-nhfb, author-dates = "Gene Howard Golub (February 29, 1932--November 16, 2007)", language = "German", shorttableofcontents = "1: Die Welt des Wissenschaftlichen Rechnens / 11 \\ 2: Lineare Algebra / 28 \\ 3: Parallel- und Vektorrechnen / 69 \\ 4: Approximation mit Polynomen / 119 \\ 5: Kontinuierliche Probleme, diskretisiert gel{\"o}st / 172 \\ 6: Direkte L{\"o}sung linearer Gleichungen / 265 7: Direkte parallele Verfahren / 337 \\ 8: Iterative Verfahren / 392 \\ 9: Verfahren der konjugierten Gradienten / 451 Literaturverzeichnis / 503 \\ Stichwortverzeichnis / 521 \\ Autorenverzeichnis / 531", tableofcontents = "1: Die Welt des Wissenschaftlichen Rechnens / 11 \\ 1.1 Was ist Wissenschaftliches Rechnen? / 11 \\ 1.2 Mathematische Modellierung / 13 \\ 1.3 Der numerische L{\"o}sungsproze{\ss} / 17 \\ 1.4 Die EDV-Umgebung / 23 \\ 2: Lineare Algebra / 28 \\ 2.1 Matrizen und Vektoren / 28 \\ 2.2 Eigenwerte und Normalform / 43 \\ 2.3 Normen / 57 \\ 3: Parallel- und Vektorrechnen / 69 \\ 3.1 Parallel- und Vektorrechner / 69 \\ 3.2 Grundlegende Konzepte des Parallelen Rechnens / 85 \\ 3.3 Matrixmultiplikation / 96 \\ 4: Approximation mit Polynomen / 119 \\ 4.1 Taylorreihe, Interpolation und Splines / 119 \\ 4.2 Methode der kleinsten Quadrate / 137 \\ 4.3 Anwendung auf die Nullstellenbestimmung / 150 \\ 5: Kontinuierliche Probleme, diskretisiert gel{\"o}st / 172 \\ 5.1 Numerische Integration / 172 \\ 5.2 Anfangswertaufgaben / 187 \\ 5.3 Randwertprobleme / 215 \\ 5.4 Raum und Zeit / 237 \\ 5.5 Der Fluch der Dimension / 251 \\ 6: Direkte L{\"o}sung linearer Gleichungen / 265 \\ 6.1 Gau{\ss}sche Elimination / 265 \\ 6.2 Fehlerverhalten beim Gau{\ss}schen Eliminationsverfahren / 290 \\ 6.3 Andere Zerlegungen / 315 \\ 7: Direkte parallele Verfahren / 337 \\ 7.1 Basisverfahren / 337 \\ 7.2 Weitere Formen der Organisation von Faktorisierungen / 361 \\ 7.3 Band- und Tridiagonalsysteme / 369 \\ 8: Iterative Verfahren / 392 \\ 8.1 Relaxationsverfahren / 392 \\ 8.2 Parallel- und Vektorimplementierungen / 406 \\ 8.3 Das Mehrgitterverfahren / 431 \\ 9: Verfahren der konjugierten Gradienten / 451 \\ 9.1 Das Verfahren der konjugierten Gradienten / 451 \\ 9.2 Pr{\"a}konditionierung / 463 \\ 9.3 Nichtsymmetrische und nichtlineare Probleme / 482 \\ Literaturverzeichnis / 503 \\ Stichwortverzeichnis / 521 \\ Autorenverzeichnis / 531", } @Book{Golub:1996:SCD, author = "Gene Howard Golub and James M. Ortega", title = "Scientific Computing and Differential Equations: an Introduction to Numerical Methods", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, edition = "Fourth", pages = "xi + 337", year = "1996", ISBN = "0-12-289255-0", ISBN-13 = "978-0-12-289255-4", LCCN = "QA371 1996", bibdate = "Fri Nov 16 09:01:26 MST 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.gbv.de:20011/gvk", URL = "http://www.gbv.de/dms/bowker/toc/9780122892554.pdf", abstract = "\booktitle{Scientific Computing and Differential Equations: An Introduction to Numerical Methods}, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places the subject in a larger context.", acknowledgement = ack-nhfb, author-dates = "Gene Howard Golub (February 29, 1932--November 16, 2007)", remark = prep-latex, remark = "Several library catalogs identify this entry and entry Golub:1992:SCD as `editions': however, the ISBN remains unchanged, and no trace of first or third editions has been found in library catalogs, so it may be that these are just printings, possibly with corrections.", tableofcontents = "Preface / ix \\ 1: The World of Scientific Computing / 1 \\ 1.1 What is Scientific Computing? / 1 \\ 1.2 Mathematical Modeling / 3 \\ 1.3 The Process of Numerical Solution / 6 \\ 1.4 The Computational Environment / 11 \\ 2: Letting It Fly: Initial Value Problems / 15 \\ 2.1 Examples of Initial Value Problems / 15 \\ 2.2 One-Step Methods / 20 \\ 2.3 Polynomial Interpolation / 37 \\ 2.4 Multistep Methods / 45 \\ 2.5 Stability, Instability, and Stiff Equations / 55 \\ 3: Pinning It Down: Boundary Value Problems / 67 \\ 3.1 The Finite Difference Method for Linear Problems / 67 \\ 3.2 Solution of the Discretized Problem / 80 \\ 4: More on Linear Systems of Equations / 89 \\ 4.1 Introduction and Least Squares Problems / 89 \\ 4.2 Gaussian Elimination / 101 \\ 4.3 Interchanges / 112 \\ 4.4 Ill-conditioning and Error Analysis / 122 \\ 4.5 Other Factorizations / 133 \\ 5: Life Is Really Nonlinear / 145 \\ 5.1 Nonlinear Problems and Shooting / 145 \\ 5.2 Solution of a Single Nonlinear Equation / 149 \\ 5.3 Systems of Nonlinear Equations / 166 \\ 6: Is There More Than Finite Differences? / 179 \\ 6.1 Introduction to Projection Methods / 179 \\ 6.2 Spline Approximation / 187 \\ 6.3 Numerical Integration / 193 \\ 6.4 The Discrete Problem Using Splines / 202 \\ 7: $N$ Important Numbers / 211 \\ 7.1 Eigenvalue Problems / 211 \\ 7.2 The QR Method / 224 \\ 7.3 Other Iterative Methods / 234 \\ 8: Space and Time / 247 \\ 8.1 Partial Differential Equations / 247 \\ 8.2 Explicit Methods and Stability / 253 \\ 8.3 Implicit Methods / 262 \\ 8.4 Semidiscrete Methods / 267 \\ 9: The Curse of Dimensionality / 273 \\ 9.1 Two and Three Space Dimensions / 273 \\ 9.2 Direct Methods / 283 \\ 9.3 Iterative Methods / 292 \\ Appendix 1: Analysis and Differential Equations / 309 \\ Appendix 2: Linear Algebra / 315 \\ Bibliography / 321 \\ Author Index / 329 \\ Subject Index / 333", } @Book{Gower:1996:Bb, author = "John Clifford Gower and David J. Hand", title = "Biplots", volume = "54", publisher = pub-CHAPMAN-HALL, address = pub-CHAPMAN-HALL:adr, pages = "xvi + 277", year = "1996", ISBN = "0-412-71630-5", ISBN-13 = "978-0-412-71630-0", ISSN = "0960-6696", LCCN = "????", bibdate = "Sat Feb 7 17:20:46 MST 2015", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/computstatdataanal1990.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Monographs on statistics and applied probability", acknowledgement = ack-nhfb, author-dates = "(1969-- \ldots{})", subject = "m{\'e}thode formelle; PROJECTION ORTHOGONALE; analyse correspondance; r{\'e}gression; interpolation", } @InProceedings{Gradel:1996:DCT, author = "Erich Gr{\"a}del and Klaus Meer", title = "Descriptive complexity theory over the real numbers", crossref = "Renegar:1996:MNA", volume = "32", pages = "381--404", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Griffiths:1996:NA, editor = "D. F. Griffiths and G. A. Watson", title = "Numerical analysis", publisher = "World Scientific Publishing Co. Inc.", address = "River Edge, NJ, USA", pages = "x + 370", year = "1996", ISBN = "981-02-2719-1", ISBN-13 = "978-981-02-2719-7", MRclass = "65-06 (00B30)", MRnumber = "1444609 (97j:65003)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; MathSciNet database", note = "A. R. Mitchell 75th birthday volume", acknowledgement = ack-nhfb, } @Book{Hanselman:1996:MMC, author = "Duane Hanselman and Bruce Littlefield", title = "Mastering {MATLAB}: a comprehensive tutorial and reference", publisher = pub-PH, address = pub-PH:adr, pages = "xii + 542", year = "1996", ISBN = "0-13-191594-0", ISBN-13 = "978-0-13-191594-7", LCCN = "QA297.H295 1996", bibdate = "Tue Jun 25 13:02:58 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "Mathematics -- Use of -- Computers; Numerical analysis -- Data processing", } @InProceedings{Heinrich:1996:CTM, author = "S. Heinrich", title = "Complexity theory of {Monte Carlo} algorithms", crossref = "Renegar:1996:MNA", volume = "32", pages = "405--420", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Herzberger:1996:OCC, author = "J. Herzberger", title = "On the {$R$}-order of convergence of a class of simultaneous methods of approximating the roots of a polynomial", crossref = "Alefeld:1996:NME", volume = "89", pages = "113--119", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Herzberger:1996:OOC, author = "J. Herzberger and L. Metzner", title = "On the {$Q$}-order and {$R$}-order of convergence for coupled sequences arising in iterative numerical processes", crossref = "Alefeld:1996:NME", volume = "89", pages = "120--131", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Book{Higham:1996:ASN, author = "Nicholas J. Higham", title = "Accuracy and Stability of Numerical Algorithms", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xxviii + 688", year = "1996", ISBN = "0-89871-355-2 (paperback)", ISBN-13 = "978-0-89871-355-8 (paperback)", LCCN = "QA297.H53 1996", bibdate = "Tue Jan 30 11:01:35 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Typeset with \LaTeX2e", price = "US\$39.00", acknowledgement = ack-nhfb, } @Book{Iserles:1996:FCN, author = "Arieh Iserles", title = "A first course in the numerical analysis of differential equations", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xvi + 378", year = "1996", ISBN = "0-521-55376-8 (hardcover), 0-521-55655-4 (paperback)", ISBN-13 = "978-0-521-55376-6 (hardcover), 978-0-521-55655-2 (paperback)", LCCN = "QA371 .I813 1996", MRclass = "65-01 (65Fxx 65Lxx 65Mxx 65Nxx)", MRnumber = "1384977 (97m:65003)", MRreviewer = "Luis Verde-Star", bibdate = "Tue May 27 08:35:36 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Cambridge Texts in Applied Mathematics", URL = "http://www.loc.gov/catdir/description/cam028/96139924.html; http://www.loc.gov/catdir/toc/cam027/96139924.html", acknowledgement = ack-nhfb, keywords = "differential equations --- numerical solutions", subject = "Differential equations; Numerical solutions", } @InProceedings{Iserles:1996:QNA, author = "Arieh Iserles and Antonella Zanna", title = "Qualitative numerical analysis of ordinary differential equations", crossref = "Renegar:1996:MNA", volume = "32", pages = "421--442", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Ji:1996:TIF, author = "Jun Ji and Florian A. Potra", title = "{Tapia} indicators and finite termination of infeasible-interior-point methods for degenerate {LCP}", crossref = "Renegar:1996:MNA", volume = "32", pages = "443--454", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Kalis:1996:PDS, author = "H. Kalis", title = "Parasto diferenci{\=a}lvien{\=a}dojumu, skaitlisk{\=a}s metodes. ({Latvian}) [{Ordinary} differential equations, numerical methods]", publisher = "Latv. Univ.", address = "Riga, Latvia", pages = "80", year = "1996", MRclass = "65-01 (34-01 65Lxx)", MRnumber = "1426828", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Latvian", } @InProceedings{Keller:1996:QMC, author = "Alexander Keller", title = "Quasi-{Monte Carlo} methods in computer graphics: {The} global illumination problem", crossref = "Renegar:1996:MNA", volume = "32", pages = "455--470", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Kincaid:1996:NAM, author = "David (David Ronald) Kincaid and E. W. (Elliott Ward) Cheney", title = "Numerical analysis: mathematics of scientific computing", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Second", pages = "xii + 804", year = "1996", ISBN = "0-534-33892-5", ISBN-13 = "978-0-534-33892-3", LCCN = "QA297 .K563 1996", bibdate = "Tue May 27 08:35:38 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, keywords = "numerical analysis", remark = "``A Gary W. Osted book''", subject = "Numerical analysis", } @InProceedings{Koeber:1996:ISI, author = "M. Koeber", title = "Inclusion of solutions of initial value problems for quasilinear hyperbolic equations", crossref = "Alefeld:1996:NME", volume = "89", pages = "132--137", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; interval arithmetic; numerical methods", } @InProceedings{Korn:1996:FVL, author = "C. Falc{\'o} Korn and C. P. Ullrich", title = "Fast verification of linear system solutions", crossref = "Alefeld:1996:NME", volume = "89", pages = "80--106", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; interval arithmetic; numerical methods", } @InProceedings{Kulisch:1996:NAA, author = "Ulrich Kulisch", title = "Numerical algorithms with automatic result verification", crossref = "Renegar:1996:MNA", volume = "32", pages = "471--502", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; interval arithmetic; numerical analysis; SIAM", } @Book{Lanczos:1996:LDO, author = "Cornelius Lanczos", title = "Linear differential operators", volume = "18", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xviii + 564", year = "1996", ISBN = "0-89871-370-6 (paperback), 1-61197-118-7 (e-book)", ISBN-13 = "978-0-89871-370-1 (paperback), 978-1-61197-118-7 (e-book)", LCCN = "QA432 .L3 1996", MRclass = "00A05 (01A75 34-00 35-00 65-00)", MRnumber = "1393942 (97c:00002)", bibdate = "Wed Jun 8 13:51:09 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Corrected reprint of the 1961 original", series = "Classics in Applied Mathematics", abstract = "Originally published in 1961, this Classics edition continues to be appealing because it describes a large number of techniques still useful today. Although the primary focus is on the analytical theory, concrete cases are cited to forge the link between theory and practice. Considerable manipulative skill in the practice of differential equations is to be developed by solving the 350 problems in the text. The problems are intended as stimulating corollaries linking theory with application and providing the reader with the foundation for tackling more difficult problems. Lanczos begins with three introductory chapters that explore some of the technical tools needed later in the book, and then goes on to discuss interpolation, harmonic analysis, matrix calculus, the concept of the function space, boundary value problems, and the numerical solution of trajectory problems, among other things. The emphasis is constantly on one question: ``What are the basic and characteristic properties of linear differential operators?'' In the author's words, this book is written for those ``to whom a problem in ordinary or partial differential equations is not a problem of logical acrobatism, but a problem in the exploration of the physical universe. To get an explicit solution of a given boundary value problem is in this age of large electronic computers no longer a basic question. But of what value is the numerical answer if the scientist does not understand the peculiar analytical properties and idiosyncrasies of the given operator? The author hopes that this book will help in this task by telling something about the manifold aspects of a fascinating field.''.", acknowledgement = ack-nhfb, subject = "Calculus, Operational; Differential equations, Linear", tableofcontents = "Preface \\ Bibliography \\ Chapter 1. Interpolation \\ Chapter 2. Harmonic analysis \\ Chapter 3. Matrix calculus \\ Chapter 4. The function space \\ Chapter 5. The Green's function \\ Chapter 6. Communication problems \\ Chapter 7. Sturm-Liouville problems \\ Chapter 8. Boundary value problems \\ Chapter 9. Numerical solution of trajectory problems \\ Appendix \\ Index", } @InProceedings{Li:1996:RPH, author = "T. Y. Li and Tianjun Wang and Xioshen Wang", title = "Random product homotopy with minimal {BKK} bound", crossref = "Renegar:1996:MNA", volume = "32", pages = "503--512", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Lozier:1996:EBL, author = "D. W. Lozier and P. R. Turner", title = "Error-bounding in level-index computer arithmetic", crossref = "Alefeld:1996:NME", volume = "89", pages = "138--145", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Book{Mackens:1996:SEI, author = "W. Mackens and S. M. Rump", title = "Software Engineering im Scientific Computing", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "x + 315", year = "1996", ISBN = "3-528-06904-X", ISBN-13 = "978-3-528-06904-9", LCCN = "QA76.758 .S6464527 1996", bibdate = "Thu Oct 31 10:01:44 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Maller:1996:CCA, author = "Michael Maller and Jennifer Whitehead", title = "Computational complexity over the $2$-adic numbers", crossref = "Renegar:1996:MNA", volume = "32", pages = "513--522", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Mathe:1996:ORS, author = "Peter Math{\'e}", title = "Optimal reconstruction of stochastic evolutions", crossref = "Renegar:1996:MNA", volume = "32", pages = "523--532", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Metzner:1996:COO, author = "Lars Metzner", title = "On the calculation of the {$Q$}-order and {$R$}-order for coupled sequences", crossref = "Alefeld:1996:NME", volume = "89", pages = "146--151", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Book{Miller:1996:FNM, author = "John J. H. Miller and E. O'Riordan and G. I. Shishkin", title = "Fitted numerical methods for singular perturbation problems: error estimates in the maximum norm for linear problems in one and two dimensions", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "xiv + 166", year = "1996", ISBN = "981-02-2462-1", ISBN-13 = "978-981-02-2462-2", LCCN = "QA371 .M55 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "differential equations --- numerical solutions; perturbation (mathematics)", } @Book{Mitchell:1996:NAA, author = "A. R. Mitchell and D. F. Griffiths and G. A. Watson", title = "Numerical analysis: {A.R.} Mitchell 75th birthday volume", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "ix + 370", year = "1996", ISBN = "981-02-2719-1", ISBN-13 = "978-981-02-2719-7", LCCN = "QA297 .N827 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Mrozek:1996:MUS, author = "Bogumila Mrozek and Zbigniew Mrozek", title = "{MATLAB}, Uniwersalne srodowisko do obliczen naukowo-technicznych ({Polish}) [{MATLAB}, Universal Environment for Scientific and Engineering Computing]", publisher = "Wydawnictwo PLJ", address = "Warszawa, Poland", pages = "261", year = "1996", ISBN = "83-7101-325-6", ISBN-13 = "978-83-7101-325-6", LCCN = "????", bibdate = "Mon Jun 07 19:38:37 1999", bibsource = "http://www.hensa.ac.uk/ftp/mirrors/matlab/doc/MATLAB_BASED_BOOKS; https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Polish", } @Book{Nakamura:1996:NAG, author = "Shoichiro Nakamura", title = "Numerical analysis and graphic visualization with {MATLAB}", publisher = pub-PHPTR, address = pub-PHPTR:adr, pages = "xi + 477", year = "1996", ISBN = "0-13-051518-3", ISBN-13 = "978-0-13-051518-6", LCCN = "T385 .N34 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "computer graphics; Matlab", } @InProceedings{Nath:1996:CHO, author = "Y. Nath and B. Lenka", title = "Comparison of higher order {Runge Kutta} methods for chaotic vibrations of double pendulum", crossref = "Alefeld:1996:NME", volume = "89", pages = "152--157", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Nath:1996:VAS, author = "Y. Nath and V. Nayar", title = "Variational approach to snap through buckling analysis of orthotropic curved plates", crossref = "Alefeld:1996:NME", volume = "89", pages = "158--163", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Nazareth:1996:LGS, author = "J. L. Nazareth", title = "{Lagrangian} globalization: {Solving} nonlinear equations via constrained optimization", crossref = "Renegar:1996:MNA", volume = "32", pages = "533--542", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Nemirovski:1996:PTM, author = "Arkadi Nemirovski", title = "Polynomial time methods in convex programming", crossref = "Renegar:1996:MNA", volume = "32", pages = "543--590", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @TechReport{Nichols:1996:TMS, author = "Len M. Nichols and Marilyn Moon and Susan Wall", title = "Tax-preferred medical savings accounts and catastrophic health insurance plans: a numerical analysis of winners and losers", number = "06571-002", institution = "Urban Institute", address = "Washington, DC", pages = "41", month = apr, year = "1996", LCCN = "RA 410.53 N52 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Supported by the Robert Wood Johnson Foundation.", acknowledgement = ack-nhfb, keywords = "employee fringe benefits --- United States; health care costs --- United States; health care reform --- United States; insurance, catastrophic health --- United States; insurance, major medical --- economics --- United States; medical care --- United States --- finance; medical care, cost of --- United States", } @InProceedings{Novak:1996:BAN, author = "Erich Novak", title = "The {Bayesian} approach to numerical problems: {Results} for zero finding", crossref = "Alefeld:1996:NME", volume = "89", pages = "164--171", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Manual{Oki:1996:NAG, author = "Delwyn S. Oki", title = "Numerical analysis of ground-water flow and salinity in the Ewa Area, Oahu, Hawaii", number = "96-442", organization = "U.S. Geological Survey, Branch of Information Services [distributor]", address = "Denver, CO, USA", pages = "????", year = "1996", LCCN = "uncataloged mf11", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 97-0816-M", series = "U.S. Geological Survey open-file report", acknowledgement = ack-nhfb, keywords = "groundwater flow --- Hawaii --- Oahu; numerical analysis", } @Book{ORuanaidh:1996:NBM, author = "Joseph J. K. O. Ruanaidh and William J. Fitzgerald", title = "Numerical Bayesian methods applied to signal processing", publisher = pub-SV, address = pub-SV:adr, pages = "xiv + 244", year = "1996", ISBN = "0-387-94629-2 (New York)", ISBN-13 = "978-0-387-94629-0 (New York)", LCCN = "TK5102.9 .O78 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "Bayesian statistical decision theory; signal processing --- statistical methods", } @InProceedings{Pan:1996:EPC, author = "Victor Y. Pan", title = "Effective parallel computations with {Toeplitz} and {Toeplitz}-like matrices filled with integers", crossref = "Renegar:1996:MNA", volume = "32", pages = "591--642", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Pereverzev:1996:EDS, author = "S. V. Pereverzev and S. G. Solodsky", title = "An efficient discretization for solving ill-posed problems", crossref = "Renegar:1996:MNA", volume = "32", pages = "643--650", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Petkovic:1996:AMS, author = "Miodrag S. Petkovi{\'c}", title = "Asynchronous methods for simultaneous inclusion of polynomial roots", crossref = "Alefeld:1996:NME", volume = "89", pages = "178--187", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "complex interval arithmetic; error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Petkovic:1996:SSM, author = "Lj. Petkovi{\'c} and S. Tri{\v{c}}kovi{\'c} and D. {\v{Z}}ivkovi{\'c}", title = "Secant slope method for inclusion of complex zeros of polynomials", crossref = "Alefeld:1996:NME", volume = "89", pages = "172--177", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "complex interval arithmetic; error bounds; GAMM; IMACS; numerical methods", } @Book{Phillips:1996:TAN, author = "G. M. (George McArtney) Phillips and Peter John Taylor", title = "Theory and applications of numerical analysis", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, edition = "Second", pages = "xii + 447", year = "1996", ISBN = "0-12-553560-0", ISBN-13 = "978-0-12-553560-1", LCCN = "QA297.P52 1996", MRclass = "65-01", MRnumber = "1423603 (97h:65002)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @InProceedings{Plaskota:1996:SCC, author = "Leszek Plaskota", title = "Survey of computational complexity with noisy information", crossref = "Renegar:1996:MNA", volume = "32", pages = "651--664", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Potra:1996:NBR, author = "F. A. Potra and Y. Shi", title = "A Note on {Brent}'s rootfinding method", crossref = "Alefeld:1996:NME", volume = "89", pages = "188--197", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Book{Press:1996:NRFa, author = "William H. Press and Saul A. Teukolsky and Michael Metcalf", title = "Numerical Recipes in {Fortran 90}: The Art of Parallel Scientific Computing", volume = "2", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, edition = "Second", pages = "200", day = "1", month = sep, year = "1996", ISBN = "0-521-57439-0 (hardcover)", ISBN-13 = "978-0-521-57439-6 (hardcover)", LCCN = "QA76.73.F25 N85 1996", bibdate = "Sat May 13 18:26:36 2000", bibsource = "http://www.amazon.com/exec/obidos/ISBN=0521574390/wholesaleproductA/; http://www.cbooks.com/; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$44.95; US\$40.45", series = "Fortran Numerical Recipes", URL = "http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=0521574390; http://www.nr.com/nronline_switcher.html", acknowledgement = ack-nhfb, dimensions = "9.93in x 6.83in x 1.14in", hardcover = "yes", keywords = "Fortran 90 (computer program language); numerical analysis -- data processing; parallel programming (computer science)", } @Book{Press:1996:NRFb, author = "William H. Press and Saul A. Teukolsky and William T. Vetterling", title = "Numerical Recipes in {Fortran 77} and {Fortran 90}: The Art of Scientific and Parallel Computing", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xxxi + 933, xx + 935--1486", month = sep, year = "1996", ISBN = "0-521-57440-4", ISBN-13 = "978-0-521-57440-2", LCCN = "", bibdate = "Sat Sep 27 17:58:26 MDT 1997", bibsource = "http://www.amazon.com/exec/obidos/ISBN=0521574404/wholesaleproductA/; http://www.cbooks.com/; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$39.95", URL = "http://www.cbooks.com/sqlnut/SP/search/gtsumt?source=&isbn=0521574404; http://www.nr.com/; http://www.nr.com/nronline_switcher.html", acknowledgement = ack-nhfb, } @InProceedings{Ratschek:1996:DES, author = "H. Ratschek and J. Rokne", title = "Determination of the exact sign of sum", crossref = "Alefeld:1996:NME", volume = "89", pages = "198--204", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Book{Redfern:1996:MDL, author = "Darren Redfern and Ed Chandler", title = "{Maple O.D.E.} lab book", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 160", year = "1996", ISBN = "0-387-94733-7 (softcover)", ISBN-13 = "978-0-387-94733-4 (softcover)", LCCN = "QA371.5.D37R43 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "System requirements for accompanying computer disk: MS-DOS format diskette.", keywords = "Differential equations -- Numerical solutions -- Data processing.; Maple (Computer file)", } @InProceedings{Richardson:1996:LAE, author = "Daniel Richardson", title = "Lazy analysis and elementary numbers", crossref = "Renegar:1996:MNA", volume = "32", pages = "665--676", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Rieder:1996:PTC, author = "G. Rieder", title = "{Pythagoras}, {Thales} and a classical finite element --- some remarks on hypercircle bounding", crossref = "Alefeld:1996:NME", volume = "89", pages = "205--296", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @PhdThesis{Rightley:1996:NAC, author = "Maria Lynn Jason Rightley", title = "Numerical analysis of carbon monoxide flames by reduced kinetic and asymptotic methods", type = "Thesis (Ph.D.)", school = "University of California, San Diego", address = "San Diego, CA, USA", year = "1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCSD --- Applied Mechanics/Engineering Sciences; dissertations, academic --- UCSD --- Engineering Science (mechanical engineering)", } @InProceedings{Rihm:1996:PES, author = "R. Rihm", title = "Problems in enclosing solutions of {ODEs}", crossref = "Alefeld:1996:NME", volume = "89", pages = "297--210", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; interval arithmetic; numerical methods; wrapping effect", } @InProceedings{Ritter:1996:ACC, author = "Klaus Ritter and Grzegorz W. Wasilkowski", title = "On the average case complexity of solving {Poisson} equations", crossref = "Renegar:1996:MNA", volume = "32", pages = "677--688", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Rojas:1996:ANR, author = "J. Maurice Rojas", title = "On the average number of real roots of certain random sparse polynomial systems", crossref = "Renegar:1996:MNA", volume = "32", pages = "689--700", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Rojiani:1996:PCN, author = "Kamal B. Rojiani", title = "Programming in {C} with numerical methods for engineers", publisher = pub-PH, address = pub-PH:adr, pages = "xviii + 1130", year = "1996", ISBN = "0-13-726498-4", ISBN-13 = "978-0-13-726498-8", LCCN = "QA76.73.C15 R65 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "C (computer program language); engineering mathematics --- data processing", } @Book{Roos:1996:NMS, author = "Hans-Gorg Roos and M. Stynes and L. Tobiska", title = "Numerical methods for singularly perturbed differential equations: convection-diffusion and flow problems", volume = "24", publisher = pub-SV, address = pub-SV:adr, pages = "xvi + 348", year = "1996", ISBN = "3-540-60718-8", ISBN-13 = "978-3-540-60718-2", LCCN = "QA377 .R66 1996 Bar", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Springer series in computational mathematics", acknowledgement = ack-nhfb, keywords = "differential equations --- numerical solutions; perturbation (mathematics)", } @InProceedings{Roy:1996:CRA, author = "Marie-Fran{\c{c}}oise Roy", title = "Computations in real algebraic geometry", crossref = "Renegar:1996:MNA", volume = "32", pages = "701--714", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Samoilenko:1996:ACV, author = "M. N. Samoilenko", title = "On approximation of characteristic values of meromorphic operator-valued functions", crossref = "Alefeld:1996:NME", volume = "89", pages = "211--216", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Book{Sancaktar:1996:RSA, author = "Erol Sancaktar and Shahriar Jahanian", title = "Reliability, stress analysis, and failure prevention issues in fastening and joining, composite and smart structures, numerical and {FEA} methods, and risk minimization: presented at the 1996 {ASME} International Mechanical Engineering Congress and Exposition, November 17--22, 1996, Atlanta, Georgia", volume = "92", publisher = pub-ASME, address = pub-ASME:adr, pages = "v + 133", year = "1996", ISBN = "0-7918-1546-3", ISBN-13 = "978-0-7918-1546-5", LCCN = "TA169 .R4473 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "DE", acknowledgement = ack-nhfb, keywords = "composite materials --- fatigue --- congresses; joints (engineering) --- congresses; reliability (engineering) --- congresses; smart structures --- reliability -- congresses; strains and stresses --- congresses", } @InProceedings{Schulte:1996:CAR, author = "Michael J. Schulte and Earl E. {Swartzlander, Jr.}", title = "A coprocessor for accurate and reliable computing", crossref = "Alefeld:1996:NME", volume = "89", pages = "217--223", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; interval arithmetic; numerical methods", } @PhdThesis{Schwartz:1996:TIN, author = "Adam Lowell Schwartz", title = "Theory and implementation of numerical methods based on {Runge--Kutta} integration for solving optimal control problems", type = "Thesis (Ph.D.) in Electrical Engineering and Computer Sciences", school = "University of California, Berkeley", address = "Berkeley, CA, USA", pages = "viii + 276", month = may, year = "1996", LCCN = "T7.6.1996 S349; TK7800 .C32b no.96:18", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Electronics Research Laboratory Memorandum no. UCB/ERL M96/18.", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCB --- engineering -- 1991-2000; University of California, Berkeley. Dept. of Electrical Engineering and Computer Sciences -- dissertations", } @InProceedings{Schwetlick:1996:PFL, author = "Hubert Schwetlick and Gisela Timmermann and Rralf Losche", title = "Path Following for Large Nonlinear Equations by Implicit Block Elimination Based on Recursive Projections", crossref = "Renegar:1996:MNA", volume = "32", pages = "715--732", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Shary:1996:ASI, author = "Sergey P. Shary", title = "Algebraic solutions to interval linear equations and their applications", crossref = "Alefeld:1996:NME", volume = "89", pages = "224--233", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; interval arithmetic; numerical methods", } @InProceedings{Shub:1996:PDD, author = "M. Shub and Alexandre Chorin and Arieh Iserles and Beresford Parlett and Steve Smale and Shmuel Winograd", title = "Panel discussion: {Does} numerical analysis need a model of computation?", crossref = "Renegar:1996:MNA", volume = "32", pages = "1--18", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Siegelmann:1996:CNN, author = "Hava T. Siegelmann", title = "Computability with neural networks", crossref = "Renegar:1996:MNA", volume = "32", pages = "733--748", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Sinclair:1996:TFP, author = "R. Sinclair", title = "Tight Floating Point Error Bounds for Polynomial Evaluation", crossref = "Alefeld:1996:NME", volume = "89", pages = "234--240", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; interval arithmetic; numerical methods", } @InProceedings{Singer:1996:FPE, author = "Sanja Singer and Sa{\v{s}}a Singer", title = "Floating-point errors in complex {Cholesky} algorithms", crossref = "Alefeld:1996:NME", volume = "89", pages = "249--254", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Slawik:1996:PEE, author = "Lech S{\l}awik and Andrzej Karafiat", title = "A posteriori error estimates for operator equations", crossref = "Alefeld:1996:NME", volume = "89", pages = "241--248", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Smelyakov:1996:IAS, author = "S. V. Smelyakov", title = "Interval approach for super-long-term forecasting of sunspot activity maxima", crossref = "Alefeld:1996:NME", volume = "89", pages = "255--260", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Book{Smith:1996:DD, author = "Barry F. Smith and Petter E. Bj{\o}rstad and William D. Gropp", title = "Domain decomposition", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xii + 224", year = "1996", ISBN = "0-521-49589-X", ISBN-13 = "978-0-521-49589-9", MRclass = "65-01 (65M55 65N55)", MRnumber = "1410757 (98g:65003)", MRreviewer = "Lutz Tobiska", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Parallel multilevel methods for elliptic partial differential equations", acknowledgement = ack-nhfb, } @Book{Smith:1996:DDP, author = "Barry F. Smith and Petter E. Bj{\"o}rstad and William Gropp", title = "Domain decomposition: parallel multilevel methods for elliptic partial differential equations", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xii + 224", year = "1996", ISBN = "0-521-49589-X (hardcover)", ISBN-13 = "978-0-521-49589-9 (hardcover)", LCCN = "QA377 .S586 1996", bibdate = "Tue May 27 08:35:40 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/description/cam027/95042362.html; http://www.loc.gov/catdir/toc/cam023/95042362.html", acknowledgement = ack-nhfb, author-dates = "1964--", subject = "Differential equations, Elliptic; Numerical solutions; Data processing; Decomposition method; Parallel processing (Electronic computers)", } @InProceedings{Sommese:1996:NAG, author = "Andrew J. Sommese and Charles W. Wampler", title = "Numerical algebraic geometry", crossref = "Renegar:1996:MNA", volume = "32", pages = "749--764", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Spath:1996:OSD, author = "Helmuth Sp{\"a}th", title = "Orthogonal squared distance fitting with parabolas", crossref = "Alefeld:1996:NME", volume = "89", pages = "261--269", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Book{Stenerson:1996:CNC, author = "Jon Stenerson and Kelly Curran", title = "Computer numerical control: operation and programming", publisher = pub-PH, address = pub-PH:adr, pages = "xii + 388", year = "1996", ISBN = "0-13-348962-0 (hardcover)", ISBN-13 = "978-0-13-348962-0 (hardcover)", LCCN = "TJ1189 .S72 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "machine-tools -- numerical control --- programming; machine-tools --- numerical control", } @Book{Stewart:1996:ANA, author = "G. W. (Gilbert W.) Stewart", title = "Afternotes on numerical analysis: a series of lectures on elementary numerical analysis presented at the {University of Maryland at College Park} and recorded after the fact", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "x + 200", year = "1996", DOI = "https://doi.org/10.1137/1.9781611971491", ISBN = "0-89871-362-5 (paperback)", ISBN-13 = "978-0-89871-362-6 (paperback)", LCCN = "QA297 .S785 1996", MRclass = "65-01", MRnumber = "1372060", bibdate = "Tue May 27 08:35:41 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0726/95047768-d.html; http://www.loc.gov/catdir/enhancements/fy0726/95047768-t.html", acknowledgement = ack-nhfb, keywords = "numerical analysis", subject = "Numerical analysis", tableofcontents = "Part I. Nonlinear Equations \\ \\ Lecture 1. By the Dawn's Early Light \\ Interval Bisection \\ Relative Error \\ \\ Lecture 2. Newton's Method \\ Reciprocals and Square Roots \\ Local Convergence Analysis \\ Slow Death \\ \\ Lecture 3. A Quasi-Newton Method \\ Rates of Convergence \\ Iterating for a Fixed Point \\ Multiple Zeros \\ Ending with a Proposition \\ \\ Lecture 4. The Secant Method \\ Convergence \\ Rate of Convergence \\ Multipoint Methods \\ Muller's Method \\ The Linear-Fractional Method \\ \\ Lecture 5. A Hybrid Method \\ Errors, Accuracy, and Condition Numbers \\ \\ Part II. Computer Arithmetic: \\ \\ Lecture 6. Floating-Point Numbers \\ Overflow and Underflow \\ Rounding Error \\ Floating-point Arithmetic \\ \\ Lecture 7. Computing Sums \\ Backward Error Analysis \\ Perturbation Analysis \\ Cheap and Chippy Chopping \\ \\ Lecture 8. Cancellation \\ The Quadratic Equation \\ That Fatal Bit of Rounding Error \\ Envoi \\ \\ Part III. Linear Equations \\ \\ Lecture 9. Matrices, Vectors, and Scalars \\ Operations with Matrices \\ Rank-One Matrices \\ Partitioned Matrices \\ \\ Lecture 10. Theory of Linear Systems \\ Computational Generalities \\ Triangular Systems \\ Operation Counts \\ \\ Lecture 11. Memory Considerations \\ Row Oriented Algorithms \\ A Column Oriented Algorithm \\ General Observations on Row and Column Orientation \\ Basic Linear Algebra Subprograms \\ \\ Lecture 12. Positive Definite Matrices \\ The Cholesky Decomposition \\ Economics \\ \\ Lecture 13. Inner-Product Form of the Cholesky Algorithm \\ Gaussian Elimination \\ \\ Lecture 14. Pivoting \\ BLAS \\ Upper Hessenberg and Tridiagonal Systems \\ \\ Lecture 15. Vector Norms \\ Matrix Norms \\ Relative Error \\ Sensitivity of Linear Systems \\ \\ Lecture 16. The Condition of Linear Systems \\ Artificial Ill Conditioning \\ Rounding Error and Gaussian Elimination \\ Comments on the Analysis \\ \\ Lecture 17. The Wonderful Residual: A Project \\ Introduction \\ More on Norms \\ The Wonderful Residual \\ Matrices with Known Condition \\ Invert and Multiply \\ Cramer's Rule \\ Submission \\ \\ Part IV. Polynomial Interpolation \\ \\ Lecture 18. Quadratic Interpolation \\ Shifting \\ Polynomial Interpolation \\ Lagrange Polynomials and Existence \\ Uniqueness \\ \\ Lecture 19. Synthetic Division \\ The Newton Form of the Interpolant \\ Evaluation \\ Existence \\ Divided Differences \\ \\ Lecture 20. Error in Interpolation \\ Error Bounds \\ Convergence \\ Chebyshev Points \\ \\ Part V. Numerical Integration and Differentiation \\ \\ Lecture 21. Numerical Integration \\ Change of Intervals \\ The Trapezoidal Rule \\ The Composite Trapezoidal Rule \\ Newton-Cotes Formulas \\ Undetermined Coefficients and Simpson's Rule \\ \\ Lecture 22. The Composite Simpson's Rule \\ Errors in Simpson's Rule \\ Weighting Functions \\ Gaussian Quadrature \\ \\ Lecture 23. The Setting \\ Orthogonal Polynomials \\ Existence \\ Zeros of Orthogonal Polynomials \\ Gaussian Quadrature \\ Error and Convergence \\ Examples \\ \\ Lecture 24. Numerical Differentiation and Integration \\ Formulas From Power Series \\ Limitations \\ Bibliography", } @Book{Stoer:1996:INA, author = "Josef Stoer and Roland Bulirsch", title = "Introduction to numerical analysis", volume = "12", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xiii + 660", year = "1996", ISBN = "0-387-97878-X (New York), 3-540-97878-X (Berlin)", ISBN-13 = "978-0-387-97878-9 (New York), 978-3-540-97878-7 (Berlin)", LCCN = "QA297 .S8213 1996", bibdate = "Tue May 27 08:33:47 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Texts in applied mathematics", acknowledgement = ack-nhfb, remark = "``Corrected third printing''", subject = "Numerical analysis", } @InProceedings{Stoyan:1996:EIS, author = "Yu. G. Stoyan", title = "Extended interval space and elementary mappings", crossref = "Alefeld:1996:NME", volume = "89", pages = "270--279", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; interval arithmetic; numerical methods", } @InProceedings{Strang:1996:WFB, author = "Gilbert Strang", title = "Wavelets from filter banks", crossref = "Renegar:1996:MNA", volume = "32", pages = "765--806", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Strickland:1996:POF, author = "James H. Strickland and Roy S. Baty", title = "A pragmatic overview of fast multipole methods", crossref = "Renegar:1996:MNA", volume = "32", pages = "807--830", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Stuart:1996:DSN, author = "A. M. Stuart and A. R. Humphries", title = "Dynamical systems and numerical analysis", volume = "2", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xxii + 685", year = "1996", ISBN = "0-521-49672-1", ISBN-13 = "978-0-521-49672-8", LCCN = "QA614.8 .S78 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Cambridge monographs on applied and computational mathematics", acknowledgement = ack-nhfb, keywords = "differentiable dynamical systems; numerical analysis", } @Book{Vanderplaats:1996:NOM, author = "Garret N. Vanderplaats", title = "Numerical optimization methods and applications: March 5--8, 1996, Engineering 856.9", publisher = "University of California, Los Angeles, University Extension, Dept. of Engineering, Information Systems, and Technical Management, Short Course Program", address = "Los Angeles, CA, USA", pages = "various", year = "1996", LCCN = "TAX 252", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Cover title.", acknowledgement = ack-nhfb, } @InProceedings{Vassiliev:1996:TCR, author = "Victor A. Vassiliev", title = "Topological complexity of root-finding algorithms", crossref = "Renegar:1996:MNA", volume = "32", pages = "831--856", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Vavasis:1996:RBL, author = "Stephen A. Vavasis and Yinyu Ye", title = "On the relationship between layered least squares and affine scaling steps", crossref = "Renegar:1996:MNA", volume = "32", pages = "857--866", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @Book{Vlchanov:1996:SMM, author = "Nikola{\u\i} Lyubomirov V{\cdprime}lchanov and Mikhail Mikha{\u\i}lov Konstantinov", title = "Svremenni matematicheski metodi za kompyutrni presmyataniya. {Chast} 1. ({Bulgarian} [{Modern} mathematical methods for computer calculations. {Part 1}])", volume = "1", publisher = "Fondatsiya ``B\cdprime lgarski Institut za Analizi i Prouchvaniya''", address = "Sofia, Bulgaria", pages = "232", year = "1996", ISBN = "954-8949-01-6", ISBN-13 = "978-954-8949-01-9", MRclass = "65-01 (65D25 65D30)", MRnumber = "1789645 (2001g:65003)", MRreviewer = "P. Y. Yalamov", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Osnovi na kompyutrnite presmyataniya. Chisleno diferentsirane i integrirane. [Foundations of computer calculations. Numerical differentiation and integration]", series = "{\cyr Studii na BIAP. Matematicheski Nauki} [Studies of the Bulgarian Institute of Analysis and Research. Mathematical Sciences]", acknowledgement = ack-nhfb, language = "Bulgarian", } @Book{Walker:1996:FFT, author = "James S. Walker", title = "{Fast Fourier Transforms}", publisher = pub-CRC, address = pub-CRC:adr, edition = "Second", pages = "xv + 447", year = "1996", ISBN = "0-8493-7163-5", ISBN-13 = "978-0-8493-7163-9", LCCN = "QA403 .W33 1996", MRclass = "65-01 (42-01 42C15 65T20)", MRnumber = "1404695 (97c:65004)", bibdate = "Tue May 27 08:35:45 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "With 1 IBM-PC floppy disk (3.5 inch; HD)", series = "Studies in Advanced Mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0646/96016852-d.html", acknowledgement = ack-nhfb, subject = "Fourier transformations", } @InProceedings{Walter:1996:EMC, author = "Wolfgang Walter", title = "Enclosure methods for capricious solutions of ordinary differential equations", crossref = "Renegar:1996:MNA", volume = "32", pages = "867--878", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Watkins:1996:LAO, author = "David S. Watkins", title = "{$ Q R $}-like algorithms --- {An} overview of convergence theory and practice", crossref = "Renegar:1996:MNA", volume = "32", pages = "879--894", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Werschulz:1996:CPP, author = "Arthur G. Werschulz", title = "The complexity of the {Poisson} problem for spaces of bounded mixed derivatives", crossref = "Renegar:1996:MNA", volume = "32", pages = "895--914", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Wieners:1996:NES, author = "Christian Wieners", title = "Numerical enclosures for solutions of the {Navier--Stokes} equation for small {Reynolds} numbers", crossref = "Alefeld:1996:NME", volume = "89", pages = "280--286", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @InProceedings{Wozniakowski:1996:OIB, author = "Henryk Wozniakowski", title = "Overview of information-based complexity", crossref = "Renegar:1996:MNA", volume = "32", pages = "915--927", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "Described as proceedings", keywords = "AMS; applied mathematics; numerical analysis; SIAM", } @InProceedings{Yamamoto:1996:SLM, author = "T. Yamamoto", title = "{SOR}-like methods for the simultaneous determination of polynomial zeros", crossref = "Alefeld:1996:NME", volume = "89", pages = "287--302", year = "1996", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "error bounds; GAMM; IMACS; numerical methods", } @Manual{Yang:1996:NSLa, author = "S. L. Yang and R. Chen and M. C. Cline", title = "Numerical simulation of a low emissions gas turbine combustor using {KIVA-II.} Part {I}, Fuel nozzle\slash rich-burn zone analysis", number = "204141", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1996", LCCN = "DOC NAS 1.26:204140 mf11 Microcopy Rm", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 99-0069-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1997] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "combustion chambers; computational fluid dynamics; flow distribution; gas-turbines; reacting flow; temperature distribution", } @Manual{Yang:1996:NSLb, author = "S. L. Yang and R. Chen and M. C. Cline", title = "Numerical simulation of a low emissions gas turbine combustor using {KIVA-II.} Part {II}, Quick-quench\slash lean-combustion zones analysis", number = "204141", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1996", LCCN = "DOC NAS 1.26:204141 mf11 Microcopy Rm", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 99-0069-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1997] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "combustion chambers; computational fluid dynamics; flow distribution; fluid flow; gas-turbines; heat transfer; jet mixing flow; reacting flow", } @Book{Zachary:1996:ISP, author = "Joseph Zachary", title = "Introduction to scientific programming: computational problem solving using {Maple} and {C}", publisher = pub-SV, address = pub-SV:adr, pages = "xxiv + 380", year = "1996", ISBN = "0-387-94630-6", ISBN-13 = "978-0-387-94630-6", LCCN = "QA76.6 .Z32 1996", bibdate = "Tue Mar 25 09:08:38 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "System requirements for accompanying computer disk: Maple V Release 3 or 4; ANSI C compiler; Macintosh; Unix or DOS computer capable of reading DOS-formatted high-density diskettes.", keywords = "C (Computer program language); Computer programming; Maple (Computer file)", } @PhdThesis{Zhou:1996:NAS, author = "Hong Zhou", title = "Numerical analysis of slender vortex motion", type = "Thesis (Ph.D.) in Applied Mathematics", school = "University of California, Berkeley", address = "Berkeley, CA, USA", month = may, year = "1996", LCCN = "308t 1996 423", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCB --- applied mathematics --- 1991--2000; University of California, Berkeley. Dept. of Mathematics --- dissertations", } @InProceedings{Anonymous:1997:QNS, author = "Anonymous", title = "The Quality of Numerical Software: Assessment and Enhancement", crossref = "Boisvert:1997:QNS", pages = "375--380", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @TechReport{Armero:1997:FNA, author = "Francisco Armero", title = "Formulation and numerical analysis of an anisotropic damage model with a localized dissipative mechanism", type = "Technical Report", number = "UCB/SEMM-97/11", institution = "Dept. of Civil Engineering, University of California, Berkeley", address = "Berkeley, CA, USA", pages = "44", month = aug, year = "1997", LCCN = "TA160.4 .R44 no.97:11", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "anisotropy; concrete --- cracking --- mathematical models; fracture mechanics --- mathematical models", } @Book{Artemiev:1997:NAS, author = "S. S. Artemiev and T. A. Averina", title = "Numerical analysis of systems of ordinary and stochastic differential equations", publisher = pub-VSP, address = pub-VSP:adr, pages = "vi + 176", year = "1997", ISBN = "90-6764-250-9", ISBN-13 = "978-90-6764-250-7", LCCN = "QA371 .A96 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "differential equations --- numerical solutions", } @InProceedings{Atkinson:1997:NSB, author = "Kendall E. Atkinson", title = "The Numerical Solution of Boundary Integral Equations", crossref = "Duff:1997:SAN", volume = "63", pages = "223--260", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @InProceedings{Baker:1997:NAV, author = "Christopher T. H. Baker", title = "Numerical Analysis of {Volterra} Functional and Integral Equations", crossref = "Duff:1997:SAN", volume = "63", pages = "193--222", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Barbour:1997:CEN, author = "Randall L. Barbour and Mark Joseph Carvlin and M. A. Fiddy", title = "Computational, experimental, and numerical methods for solving ill-posed inverse imaging problems: medical and nonmedical applications: 30--31 July 1997, San Diego, California", volume = "3171", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "ix + 240", year = "1997", ISBN = "0-8194-2593-1", ISBN-13 = "978-0-8194-2593-5", LCCN = "RC78.7.D53 C66 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "SPIE proceedings series", acknowledgement = ack-nhfb, keywords = "diagnostic imaging --- data processing --- congresses; diagnostic imaging --- mathematics --- congresses; image processing --- digital techniques --- congresses; imaging systems in medicine --- congresses; inverse problems (differential equations) --- congresses", } @Book{Bellman:1997:IMA, author = "Richard Bellman", title = "Introduction to matrix analysis", volume = "19", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xxviii + 403", year = "1997", ISBN = "0-89871-399-4", ISBN-13 = "978-0-89871-399-2", LCCN = "QA188 .B445 1997", MRclass = "01A75 (15-01 26-01 65-01 93-01)", MRnumber = "98a:01021", bibdate = "Fri Oct 17 06:07:51 2003", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Reprint of the second (1970) edition, with a foreword by Gene Golub.", series = "Classics in Applied Mathematics", acknowledgement = ack-nhfb, } @Book{Bhatia:1997:MA, author = "Rajendra Bhatia", title = "Matrix Analysis", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 347", year = "1997", ISBN = "0-387-94846-5", ISBN-13 = "978-0-387-94846-1", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", } @InProceedings{Bischof:1997:ADN, author = "C. H. Bischof", title = "Automatic differentiation and numerical software design", crossref = "Boisvert:1997:QNS", pages = "287--299", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Book{Blackford:1997:SUG, author = "L. S. Blackford and J. Choi and A. Cleary and E. D'Azevedo and J. Demmel and I. Dhillon and J. Dongarra and S. Hammarling and G. Henry and A. Petitet and K. Stanley and D. Walker and R. C. Whaley", title = "{ScaLAPACK} Users' Guide", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xxvi + 325", year = "1997", ISBN = "0-89871-400-1 (paperback), 0-89871-401-X (CD-ROM), 0-89871-397-8 (set)", ISBN-13 = "978-0-89871-400-5 (paperback), 978-0-89871-401-2 (CD-ROM), 978-0-89871-397-8 (set)", LCCN = "QA185.D37 S33 1997", bibdate = "Sun Jun 19 12:21:50 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, tableofcontents = "6. Accuracy and stability \\ Sources of error in numerical calculations \\ New sources of error in parallel numerical computations \\ How to measure errors \\ Further details \\ How error bounds are derived \\ Error bounds for linear equation solving \\ Error bounds for linear least squares problems \\ Error bounds for the symmetric eigenproblem \\ Error bounds for the singular value decomposition \\ Error bounds for the generalized symmetric definite eigenproblem \\ 7. Troubleshooting \\ Installation debugging hints \\ Application debugging hints \\ Common errors in calling ScaLAPACK routines \\ Failures detected by ScaLAPACK routines \\ Wrong results \\ Error handling in the PBLAS \\ Error handling in the BLACS \\ System error messages \\ Poor performance \\ Appendix A. Index of ScaLAPACK routines \\ Index of driver and computational routines \\ Index of auxiliary routines \\ Matrix redistribution/copy routines \\ Appendix B. Call conversion, LAPACK to ScaLAPACK and BLAS to PBLAS \\ Translating BLAS-based programs to the PBLAS \\ Translating LAPACK-based programs to ScaLAPACK \\ Appendix C. Example programs --Example program \#2 \\ HPF interface to ScaLAPACK \\ Appendix D. Quick reference guides \\ ScaLAPACK quick reference guide \\ Quick reference guide to the PBLAS \\ Quick reference guide to the BLACS \\ Glossary \\ Part II. Specifications of routines \\ Bibliography \\ Index by keyword \\ Index by routine nameList of figures \\ List of tables \\ Preface \\ Suggestions for reading \\ List of notation \\ Part I. Guide \\ 1. Essentials \\ ScaLAPACK \\ Structure and functionality \\ Software components \\ Efficiency and portability \\ Availability \\ Commercial use \\ Installation \\ Documentation \\ Support \\ Errata \\ Related projects \\ Contents of the CD-ROM \\ 2. Getting started with ScaLAPACK \\ How to run an example program using MPI \\ Source code for example program \#1 \\ Details of example program \#1 \\ Four basic steps required to call a ScaLAPACK routine \\ 3. Contents of ScaLAPACK \\ Structure of ScaLAPACK \\ Driver routines \\ Computational routines \\ Orthogonal or unitary matrices \\ Algorithmic differences between LAPACK and ScaLAPACK \\ 4. Data distribution and software conventions \\ Basics \\ Array descriptors \\ In-core dense matrices \\ In-core narrow band and tridiagonal matrices \\ Out-of-core matrices \\ Design and documentation of argument lists \\ Extensions \\ 5. Performance of ScaLAPACK \\ Achieving high performance with ScaLAPACK \\ Performance, portability and scalability \\ Performance evaluation \\ Performance improvement \\ Performance of banded and out-of-core drivers", } @Manual{Blomgren:1997:TVI, author = "Peter Blomgren", title = "Total variation image restoration: numerical methods and extensions", number = "97--50", organization = "Dept. of Mathematics, University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "[4]", month = oct, year = "1997", LCCN = "QA 1 C36 no.97-50 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "To appear in the proceedings of ICIP 1997.", series = "CAM report", acknowledgement = ack-nhfb, } @InProceedings{Boisvert:1997:MMW, author = "R. F. Boisvert and R. Pozo and K. Remington and R. F. Barrett", title = "{Matrix Market}: a {Web} resource for test matrix collections", crossref = "Boisvert:1997:QNS", pages = "125--137", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Book{Borse:1997:NMM, author = "G. J. (Garold J.) Borse", title = "Numerical methods with {MATLAB}: a resource for scientists and engineers", publisher = pub-PWS-KENT, address = pub-PWS-KENT:adr, pages = "xvi + 640", year = "1997", ISBN = "0-534-93822-1", ISBN-13 = "978-0-534-93822-2", LCCN = "QA297 .B647 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "Matlab; numerical analysis --- data processing", } @InProceedings{Brezzi:1997:STS, author = "F. Brezzi and L. P. Franca and T. J. R. Hughes and A. Russo", title = "Stabilization Techniques and Subgrid Scales Capturing", crossref = "Duff:1997:SAN", volume = "63", pages = "391--406", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Bultheel:1997:LAR, author = "Adhemar Bultheel and Marc {Van Barel}", title = "Linear algebra, rational approximation, and orthogonal polynomials", volume = "6", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "xvii + 446", year = "1997", ISBN = "0-444-82872-9", ISBN-13 = "978-0-444-82872-9", LCCN = "QA242 .B88 1997", MRclass = "65-01 (15-01 65D15 65F25)", MRnumber = "1602017 (99e:65001)", bibdate = "Tue May 27 08:35:46 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Studies in Computational Mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0601/97040610-d.html", acknowledgement = ack-nhfb, subject = "Euclidean algorithm; Algebras, Linear; Pad{\'e} approximant; Orthogonal polynomials", } @Book{Burden:1997:NA, author = "Richard L. Burden and J. Douglas Faires", title = "Numerical analysis", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Sixth", pages = "xiii + 811", year = "1997", ISBN = "0-534-95532-0", ISBN-13 = "978-0-534-95532-8", LCCN = "QA 297 B84 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @InProceedings{Butler:1997:MTC, author = "B. Butler and M. Cox and A. Forbes and S. Hannaby", title = "A methodology for testing classes of approximation and optimisation software", crossref = "Boisvert:1997:QNS", pages = "138--151", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Chaitin-Chatelin:1997:NSC, author = "F. Chaitin-Chatelin", title = "Is nonnormality a serious computational difficulty in practice?", crossref = "Boisvert:1997:QNS", pages = "300--314", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Conn:1997:MNC, author = "Andrew R. Conn and Nicholas I. M. Gould and Philippe L. Toint", title = "Methods for Nonlinear Constraints in Optimization Calculations", crossref = "Duff:1997:SAN", volume = "63", pages = "363--390", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Coombes:1997:DEM, author = "Kevin Robert Coombes", title = "Differential equations with {Maple}", publisher = pub-WILEY, address = pub-WILEY:adr, edition = "Second (Revised for {Maple V, release 4})", pages = "v + 240", year = "1997", ISBN = "0-471-17645-1", ISBN-13 = "978-0-471-17645-9", LCCN = "QA371.5.D37 D53 1997 Bar", bibdate = "Mon May 11 12:46:28 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "differential equations -- numerical solutions -- data processing; Maple (computer file)", } @InProceedings{Coughran:1997:NSC, author = "W. M. Coughran", title = "Network-based scientific computation via {Inferno}", crossref = "Boisvert:1997:QNS", pages = "267--269", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Book{Dahlen:1997:NMS, author = "Morten Dahlen and Aslak Tveito", title = "Numerical methods and software tools in industrial mathematics", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "400", year = "1997", ISBN = "0-8176-3973-X (hardcover), 3-7643-3973-X", ISBN-13 = "978-0-8176-3973-0 (hardcover), 978-3-7643-3973-9", LCCN = "TA331 .N86 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "engineering mathematics --- industrial applications; industrial engineering --- mathematics --- computer programs", } @Book{deFigueiredo:1997:SVN, author = "Luiz H. {de Figueiredo} and Jorge Stolfi", title = "Self-Validated Numerical Methods and Applications", publisher = "IMPA", address = "Rio de Janeiro, Brazil", month = jul, year = "1997", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Wed May 27 12:36:09 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Brazilian Mathematics Colloquium monograph", URL = "http://www.dcc.unicamp.br/~stolfi/EXPORT/papers/affine-arith/aa-97-07-val-num-book.ps.gz", acknowledgement = ack-nhfb, } @Book{Demmel:1997:ANL, author = "James W. Demmel", title = "Applied Numerical Linear Algebra", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xi + 419", year = "1997", DOI = "https://doi.org/10.1137/1.9781611971446", ISBN = "0-89871-389-7 (paperback)", ISBN-13 = "978-0-89871-389-3 (paperback)", LCCN = "QA184 .D455 1997", MRclass = "65-01 (65Fxx)", MRnumber = "1463942 (98m:65001)", MRreviewer = "William W. Hager", bibdate = "Tue May 27 08:35:48 MDT 2014", bibsource = "http://www.hensa.ac.uk/ftp/mirrors/matlab/doc/MATLAB_BASED_BOOKS; https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0664/97017290-d.html; http://www.loc.gov/catdir/enhancements/fy0664/97017290-t.html; http://www.siam.org/books/demmel/demmel_class", acknowledgement = ack-nhfb, keywords = "Matlab", subject = "Algebras, Linear; Numerical calculations", tableofcontents = "Preface \\ 1. Introduction \\ 2. Linear equation solving \\ 3. Linear least squares problems \\ 4. Nonsymmetric Eigenvalue problems \\ 5. The symmetric Eigenproblem and singular value decomposition \\ 6. Iterative methods for linear systems \\ 7. Iterative methods for Eigenvalue problems \\ Bibliography \\ Index", } @InProceedings{Doi:1997:APP, author = "S. Doi and H. Fujio and K. Sugihara", title = "Automatic parallel program generation for finite element analysis", crossref = "Boisvert:1997:QNS", pages = "255--266", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Dongarra:1997:CSD, author = "J. J. Dongarra and S. Hammarling and A. Petitet", title = "Case studies on the development of {ScaLAPACK} and the {NAG} Numerical {PVM} Library", crossref = "Boisvert:1997:QNS", pages = "236--248", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Book{Dorfman:1997:BET, author = "Jeffrey H. Dorfman", title = "{Bayesian} economics through numerical methods: a guide to econometrics and decision-making with prior information", publisher = pub-SV, address = pub-SV:adr, pages = "vii + 110", year = "1997", ISBN = "0-387-98233-7 (New York)", ISBN-13 = "978-0-387-98233-5 (New York)", LCCN = "HB139 .D674 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "Bayesian statistical decision theory; econometrics", } @Book{Dubois:1997:OTS, author = "Paul F. Dubois", title = "Object technology for scientific computing: object-oriented numerical software in Eiffel and {C}", publisher = pub-PH, address = pub-PH:adr, pages = "xviii + 280", year = "1997", ISBN = "0-13-267808-X", ISBN-13 = "978-0-13-267808-7", LCCN = "QA76.9.O35 D83 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Prentice Hall object-oriented series", acknowledgement = ack-nhfb, keywords = "C (computer program language); Eiffel (computer program language); object-oriented methods (computer science)", } @InProceedings{DuCroz:1997:DBN, author = "J. {Du Croz}", title = "Designing and building a new numerical library in {Fortran 90}", crossref = "Boisvert:1997:QNS", pages = "197--209", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Duff:1997:SNL, author = "Iain S. Duff", title = "Sparse Numerical Linear Algebra: {Direct} Methods and Preconditioning", crossref = "Duff:1997:SAN", volume = "63", pages = "27--62", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Eaton:1997:GOH, author = "John W. Eaton", title = "{GNU Octave}: a high-level interactive language for numerical computations", publisher = pub-NETWORK-THEORY, address = pub-NETWORK-THEORY:adr, pages = "viii + 311", year = "1997", ISBN = "0-9541617-2-6", ISBN-13 = "978-0-9541617-2-9", LCCN = "????", bibdate = "Mon Jul 04 16:11:15 2005", bibsource = "https://www.math.utah.edu/pub/tex/bib/gnu.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, remark = "Edition 3 for Octave version 2.0.13, February 1997.", } @InProceedings{Elliott:1997:ACD, author = "C. M. Elliott", title = "Approximation of Curvature Dependent Interface Motion", crossref = "Duff:1997:SAN", volume = "63", pages = "407--440", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @InProceedings{Enright:1997:ENS, author = "W. H. Enright and H. Hayashi", title = "The evaluation of numerical software for delay differential equations", crossref = "Boisvert:1997:QNS", pages = "179--196", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @PhdThesis{Friedman:1997:INM, author = "Zvi Friedman", title = "Improved numerical methods for solutions of a beam's axial, torsion and flexure problems", type = "Thesis (Ph.D.)", school = "University of California, San Diego", address = "San Diego, CA, USA", year = "1997", LCCN = "T 3.6 .F75 1997 Archives DISS", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCSD --- Applied Mechanics/Engineering Sciences; dissertations, academic --- UCSD --- Engineering Science (Applied Mechanics)", } @Book{Gander:1997:SPS, author = "Walter Gander and Ji{\v{r}}i H{\v{r}}eb{\'\i}{\v{c}}ek", title = "Solving Problems in Scientific Computing using {Maple} and {MATLAB}", publisher = pub-SV, address = pub-SV:adr, edition = "Third", pages = "xvii + 408", year = "1997", ISBN = "3-540-61793-0 (paperback)", ISBN-13 = "978-3-540-61793-8 (paperback)", LCCN = "Q183.9 .G36 1997", bibdate = "Mon May 11 12:47:17 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$49.95", acknowledgement = ack-nhfb, keywords = "maple (computer file); Maple (Computer file); matlab; MATLAB; science -- data processing; Science -- Data processing", } @Book{Gautschi:1997:NA, author = "Walter Gautschi", title = "Numerical analysis", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "xiv + 506", year = "1997", ISBN = "0-8176-3895-4", ISBN-13 = "978-0-8176-3895-5", MRclass = "65-01", MRnumber = "1454125 (98d:65001)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "An introduction", acknowledgement = ack-nhfb, } @Book{Gautschi:1997:NAI, author = "Walter Gautschi", title = "Numerical analysis: an introduction", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xiii + 506", year = "1997", ISBN = "0-8176-3895-4, 3-7643-3895-4 (Basel)", ISBN-13 = "978-0-8176-3895-5, 978-3-7643-3895-4 (Basel)", LCCN = "QA297 .G35 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @InProceedings{Gentleman:1997:ISQ, author = "W. M. Gentleman", title = "If software quality is a perception, how do we measure it?", crossref = "Boisvert:1997:QNS", pages = "32--43", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Manual{Girimaji:1997:AMB, author = "Sharath S. Girimaji and S. Balachandar", title = "Analysis and modeling of buoyancy generated turbulence using numerical data", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1997", LCCN = "DOC NAS 1.26:201736 mf11 Microcopy Rm", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 99-0141-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1998] 1 microfiche. (NASA-CR ; 201736).", acknowledgement = ack-nhfb, keywords = "direct numerical simulation; momentum transfer; Reynolds stress; shear stress; turbulent flow", } @InProceedings{Gladwell:1997:EGA, author = "I. Gladwell and M. A. Napierala", title = "Efficiency of global adaptive quadrature", crossref = "Boisvert:1997:QNS", pages = "326--329", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Golub:1997:CSI, author = "Gene H. Golub and Henk A. {van der Vorst}", title = "Closer to the Solution: Iterative Linear Solvers", crossref = "Duff:1997:SAN", volume = "63", pages = "63--92", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Goossens:1997:LGC, author = "Michel Goossens and Sebastian Rahtz and Frank Mittelbach", title = "The {\LaTeX} Graphics Companion: Illustrating Documents with {\TeX} and {PostScript}", publisher = pub-AW, address = pub-AW:adr, pages = "xxi + 554", year = "1997", ISBN = "0-201-85469-4", ISBN-13 = "978-0-201-85469-5", LCCN = "Z253.4.L38G663 1997", bibdate = "Fri Jul 11 07:51:47 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/postscri.bib; https://www.math.utah.edu/pub/tex/bib/texbook3.bib; https://www.math.utah.edu/pub/tex/bib/typeset.bib", price = "US\$39.75", series = "Tools and Techniques for Computer Typesetting", acknowledgement = ack-nhfb, keywords = "Computerized typesetting.; LaTeX (Computer file); Mathematics printing -- Computer programs.; Mathematics printing --- Computer programs.; PostScript (Computer program language); Scientific illustration -- Computer programs.; Scientific illustration --- Computer programs.; Technical publishing -- Computer programs.; Technical publishing --- Computer programs.", } @InProceedings{Gropp:1997:WWC, author = "W. D. Gropp", title = "Why we couldn't use numerical libraries for {PETSc}", crossref = "Boisvert:1997:QNS", pages = "249--254", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Grosse:1997:RI, author = "Eric Grosse", title = "Real {Inferno}", crossref = "Boisvert:1997:QNS", pages = "270--279", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/grosse-eric.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", URL = "ftp://cm.bell-labs.com/inferno/real.ps", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Guichard:1997:PDE, author = "Fr{\'e}d{\'e}ric Guichard and Jean-Michel Morel", title = "Partial Differential Equations and Image Iterative Filtering", crossref = "Duff:1997:SAN", volume = "63", pages = "525--562", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Hanselman:1997:SEM, author = "Duane C. Hanselman and Bruce Littlefield", title = "The student edition of {MATLAB}: version 5, user's guide", publisher = pub-PH, address = pub-PH:adr, pages = "xxxix + 429", year = "1997", ISBN = "0-13-272550-9 (paperback user's guide), 0-13-272485-5 (user's guide), 0-13-272477-4 (set), 0-13-022598-3 (CD-ROM)", ISBN-13 = "978-0-13-272550-7 (paperback user's guide), 978-0-13-272485-2 (user's guide), 978-0-13-272477-7 (set), 978-0-13-022598-6 (CD-ROM)", LCCN = "QA297 .S8436 1997", bibdate = "Thu Mar 19 09:50:03 MST 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "The MATLAB curriculum series", acknowledgement = ack-nhfb, alttitle = "MATLAB", keywords = "MATLAB; Numerical analysis -- Data processing", remark = "Title from disc label: ``A collaborative effort between The MathWorks and Prentice Hall''.", } @InProceedings{Hatton:1997:EES, author = "L. Hatton", title = "The {$T$}-experiments: errors in scientific software", crossref = "Boisvert:1997:QNS", pages = "12--31", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Book{Heath:1997:SCI, author = "Michael T. Heath", title = "Scientific Computing: An Introductory Survey", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xx + 408", year = "1997", ISBN = "0-07-027684-6", ISBN-13 = "978-0-07-027684-0", LCCN = "Q183.9.H4 1997", bibdate = "Mon Jun 07 18:33:56 1999", bibsource = "http://www.hensa.ac.uk/ftp/mirrors/matlab/doc/MATLAB_BASED_BOOKS; https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @InProceedings{Higham:1997:RDD, author = "Nicholas J. Higham", title = "Recent Developments in Dense Numerical Linear Algebra", crossref = "Duff:1997:SAN", volume = "63", pages = "1--26", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @InProceedings{Higham:1997:RLE, author = "D. J. Higham", title = "Reliability of local error control algorithms for initial value ordinary differential equations", crossref = "Boisvert:1997:QNS", pages = "315--325", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Higham:1997:TLA, author = "N. J. Higham", title = "Testing linear algebra software", crossref = "Boisvert:1997:QNS", pages = "109--124", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @PhdThesis{Holland:1997:NMI, author = "Thomas Joseph Holland", title = "Numerical methods for implementing the bounding surface plasticity model for clays", type = "Thesis (Ph.D.) in Civil Engineering", school = "University of California, Davis", address = "Davis, CA, USA", year = "1997", LCCN = "LD781.D5j 1997 H651 Spec Coll", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- University of California, Davis --- Civil Engineering", } @InProceedings{Iserles:1997:BCT, author = "Arieh Iserles", title = "Beyond the Classical Theory of Computational Ordinary Differential Equations", crossref = "Duff:1997:SAN", volume = "63", pages = "171--192", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Konstantinov:1997:SMM, author = "Mikhail Mikha{\u\i}lov Konstantinov and Nikola{\u\i} Lyubomirov V{\cdprime}lchanov", title = "Svremenni matematicheski metodi za kompyutrni presmyataniya. {Chast} 2. ({Bulgarian} [{Modern} mathematical methods for computer calculations. {Part 2}])", volume = "2", publisher = "Fondatsiya ``B\cdprime lgarski Institut za Analizi i Prouchvaniya''", address = "Sofia, Bulgaria", pages = "288", year = "1997", ISBN = "954-8949-02-4", ISBN-13 = "978-954-8949-02-6", MRclass = "65-01 (65Fxx)", MRnumber = "1789646 (2001g:65004)", MRreviewer = "P. Y. Yalamov", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Chislena lineina algebra. [Numerical linear algebra]", series = "{\cyr Studii na BIAP. Matematicheski Nauki} [Studies of the Bulgarian Institute of Analysis and Research. Mathematical Sciences]", acknowledgement = ack-nhfb, language = "Bulgarian", } @InProceedings{Kulisch:1997:XTE, author = "U. Kulisch", title = "The {XSC} tools for extended scientific computing", crossref = "Boisvert:1997:QNS", pages = "280--286", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; interval arithmetic; numerical software; quality", } @Book{Kutler:1997:FIC, author = "Paul Kutler and J. Flores and J. J. Chattot", title = "Fifteenth International Conference on Numerical Methods in Fluid Dynamics: proceedings of the conference held in Monterey, {CA}, {USA}, 24--28 June 1996", volume = "490", publisher = pub-SV, address = pub-SV:adr, pages = "xvi + 655", year = "1997", ISBN = "3-540-63054-6 (Berlin)", ISBN-13 = "978-3-540-63054-8 (Berlin)", ISSN = "0075-8450 (print), 1616-6361 (electronic)", ISSN-L = "0075-8450", LCCN = "QA911 .I58 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lecture notes in physics", acknowledgement = ack-nhfb, keywords = "differential equations, partial --- numerical solutions --- congresses; fluid dynamics --- congresses; fluid dynamics --- industrial applications --- congresses; Navier--Stokes equations --- numerical solutions -- congresses", } @Book{Landau:1997:CP, author = "Rubin H. Landau and Manuel Jos{\'e} P{\'a}ez Mej{\'{\i}}a", title = "Computational physics", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xxx + 520", year = "1997", ISBN = "0-471-11590-8", ISBN-13 = "978-0-471-11590-8", MRclass = "65-01 (65-04 70-08)", MRnumber = "1461274 (98c:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Problem solving with computers, With contributions by Hans Kowallik and Henri Jansen, With 1 IBM-PC floppy disk (3.5 inch; DD)", series = "A Wiley-Interscience Publication", acknowledgement = ack-nhfb, } @Book{Landau:1997:CPP, author = "Rubin H. Landau and Manuel Jos{\'e} {P{\'a}ez Mej{\'i}a}", title = "Computational physics: problem solving with computers", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xxviii + 520", year = "1997", ISBN = "0-471-11590-8 (hardcover)", ISBN-13 = "978-0-471-11590-8 (hardcover)", LCCN = "QC20.82 .L36 1997", bibdate = "Tue May 27 08:36:00 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/bios/wiley044/96051776.html; http://www.loc.gov/catdir/description/wiley037/96051776.html; http://www.loc.gov/catdir/toc/wiley022/96051776.html", acknowledgement = ack-nhfb, remark = "``A Wiley-Interscience publication.''.", subject = "Physics; Problems, exercises, etc; Data processing; Computer simulation; Mathematical physics", } @PhdThesis{Lee:1997:AVZ, author = "Kenrick Hugh Lee", title = "Analysis of vadose zone tritium transport from an underground storage tank release using numerical modeling and geostatistics", type = "Thesis (Ph.D.) in Engineering-Materials Science and Mineral Engineering", school = "University of California, Berkeley", address = "Berkeley, CA, USA", month = dec, year = "1997", LCCN = "T7.6.1997 L422", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCB --- Engineering -- 1991--2000; University of California, Berkeley. Dept. of Materials Science and Mineral Engineering -- dissertations", } @InProceedings{Lee:1997:SFL, author = "S. L. Lee and W. E. Schiesser", title = "Some fundamental limitations of mathematical soilware revealed by the calculation of spacetime curvature", crossref = "Boisvert:1997:QNS", pages = "345--348", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Book{Lorentz:1997:MLA, author = "G. G. Lorentz and Rudolph A. Lorentz", title = "Mathematics from {Leningrad} to {Austin}: {George G. Lorentz}' selected works in real, functional, and numerical analysis", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xxxvi + 548", year = "1997", ISBN = "0-8176-3710-9 (vol. 1: hardcover), 3-7643-3710-9 (vol. 1: Basel: hardcover), 0-8176-3922-5 (vol. 2: hardcover), 3-7643-3922-5 (vol. 2: Basel: hardcover), 0-8176-3923-3 (set: hardcover), 3-7643-3923-3 (set: Basel: hardcover)", ISBN-13 = "978-0-8176-3710-1 (vol. 1: hardcover), 978-3-7643-3710-0 (vol. 1: Basel: hardcover), 978-0-8176-3922-8 (vol. 2: hardcover), 978-3-7643-3922-7 (vol. 2: Basel: hardcover), 978-0-8176-3923-5 (set: hardcover), 978-3-7643-3923-4 (set: Basel: hardcover)", LCCN = "QA300.5 .L67 1997 v.1-2 (1997)", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "English and German.", series = "Contemporary mathematicians", acknowledgement = ack-nhfb, keywords = "mathematical analysis", } @InProceedings{Lozier:1997:PST, author = "D. W. Lozier", title = "A proposed software test service for special functions", crossref = "Boisvert:1997:QNS", pages = "167--178", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Lyness:1997:EMS, author = "J. N. Lyness", title = "Evaluation of minimization software based on performance profile techniques", crossref = "Boisvert:1997:QNS", pages = "152--154", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Book{MathWorks:1997:SEM, author = "{The MathWorks, Inc.}", title = "The Student Edition of {Matlab}: High-Performance Numeric Computation and Visualization Software: Version 5 User's Guide", publisher = pub-PH, address = pub-PH:adr, pages = "????", year = "1997", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Tue Jun 25 16:58:31 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "MATLAB; numerical analysis --- data processing", } @TechReport{McCallen:1997:SNS, author = "David McCallen and Abolhassan Astaneh-Asl", title = "{SUSPNDRS}: a numerical simulation tool for the nonlinear transient analysis of cable supported bridge structures. Part {I}, Theoretical development", number = "UCRL-ID-127626", institution = "Lawrence Livermore National Laboratory", address = "Livermore, CA, USA", pages = "138", month = jun, year = "1997", LCCN = "DE98 051278 Microfiche", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "bridges --- California --- San Francisco Bay -- earthquake effects --- mathematical models; earthquake resistant design --- mathematical models; San Francisco-Oakland Bay Bridge (Oakland and San Francisco, Calif.); suspension bridges --- California -- San Francisco Bay --- vibration --- mathematical models", xxmonth = jul, } @Manual{Meinert:1997:NPS, author = "Karen M. Meinert", title = "Numerical propulsion system simulation, software standards and procedures, specification", volume = "3692", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1997", LCCN = "NAS 1.60:3692 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 98-0733-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1997] 1 microfiche.", series = "NASA technical paper", acknowledgement = ack-nhfb, keywords = "coding; computer programs; computerized simulation; propulsion; software development tools; software engineering; standards", } @Manual{Merritt:1997:CTF, author = "Michael L. Merritt", title = "Computation of the time-varying flow rate from an artesian well in central Dade County, Florida, by analytical and numerical simulation methods", volume = "2491", organization = "U.S. Geological Survey, Branch of Information Services", address = "Denver, CO, USA", pages = "iv + 44", year = "1997", LCCN = "R G200 USG no.2491", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Prepared in cooperation with the Metropolitan-Dade Department of Environmental Resources Management. U.S. Department of the Interior, U.S. Geological Survey. Shipping list no.: 98-0001-P.", series = "U.S. Geological Survey water-supply paper", acknowledgement = ack-nhfb, keywords = "artesian wells --- Florida --- Dade County; groundwater flow --- Florida --- Dade County --- computer simulation", } @Book{Morgan:1997:NMD, author = "Don Morgan", title = "Numerical methods for {DSP} systems in {C}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xx + 332", year = "1997", ISBN = "0-471-13232-2 (paperback)", ISBN-13 = "978-0-471-13232-5 (paperback)", LCCN = "TK5102.9 .M65 1997 Bar", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Wiley Computer Publishing.", acknowledgement = ack-nhfb, keywords = "C (computer program language); signal processing -- digital techniques", } @InProceedings{Morton:1997:AMH, author = "K. W. Morton", title = "Approximation of Multidimensional Hyperbolic Partial Differential Equations", crossref = "Duff:1997:SAN", volume = "63", pages = "473--502", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @InProceedings{Mu:1997:STE, author = "M. Mu", title = "Software testing and evaluation in large-scale scientific applications", crossref = "Boisvert:1997:QNS", pages = "330--332", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Munson:1997:FAS, author = "J. C. Munson", title = "A functional approach to software reliability modeling", crossref = "Boisvert:1997:QNS", pages = "61--76", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Nakagawa:1997:DEG, author = "M. Nakagawa", title = "Development of efficient general purpose {Monte Carlo} codes used in nuclear engineering", crossref = "Boisvert:1997:QNS", pages = "349--360", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Natterer:1997:AT, author = "Frank Natterer", title = "Algorithms in Tomography", crossref = "Duff:1997:SAN", volume = "63", pages = "503--524", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @InProceedings{Nocedal:1997:LSU, author = "Jorge Nocedal", title = "Large Scale Unconstrained Optimization", crossref = "Duff:1997:SAN", volume = "63", pages = "311--338", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Nogami:1997:OMN, author = "Toyoaki Nogami", title = "Observation and modeling in numerical analysis and model tests in dynamic soil-structure interaction problems: proceedings of sessions sponsored by the {Geo-Institute} of the American Society of Civil Engineers held in conjunction with {Geo-Logan} '97, Logan, Utah, July 16--17, 1997", volume = "64", publisher = pub-ASCE, address = pub-ASCE:adr, pages = "vii + 141", year = "1997", ISBN = "0-7844-0252-3", ISBN-13 = "978-0-7844-0252-8", LCCN = "TA711.5 .O27 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Geotechnical special publication", acknowledgement = ack-nhfb, keywords = "soil-structure interaction --- mathematical models -- congresses; soils --- vibration --- mathematical models --- congresses", } @InProceedings{Osterweil:1997:IQS, author = "L. J. Osterweil", title = "Improving the quality of software quality determination processes", crossref = "Boisvert:1997:QNS", pages = "90--108", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Pancake:1997:IQT, author = "C. M. Pancake", title = "Improving quality through user-centered design", crossref = "Boisvert:1997:QNS", pages = "44--60", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Book{Pang:1997:ICP, author = "Tao Pang", title = "An introduction to computational physics", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xvii + 374", year = "1997", ISBN = "0-521-48143-0 (hardcover), 0-521-48592-4 (paperback)", ISBN-13 = "978-0-521-48143-4 (hardcover), 978-0-521-48592-0 (paperback)", LCCN = "QC20.7.E4 P36 1997", MRclass = "65-01 (76Mxx 82B80 82C80)", MRnumber = "1626969 (99d:65001)", MRreviewer = "G. W. Hedstrom", bibdate = "Tue May 27 08:36:01 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/description/cam028/96045574.html; http://www.loc.gov/catdir/toc/cam023/96045574.html", acknowledgement = ack-nhfb, author-dates = "1959--", subject = "Physics; Data processing; Methodology; Numerical calculations; Mathematical physics", } @Book{Paris:1997:BEM, author = "Federico Par{\'{\i}}s and Jos{\'e} Ca{\~n}as", title = "Boundary element method: fundamentals and applications", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xv + 392", year = "1997", ISBN = "0-19-856537-2, 0-19-856543-7 (paperback)", ISBN-13 = "978-0-19-856537-6, 978-0-19-856543-7 (paperback)", LCCN = "TA347.B69 P34 1997", MRclass = "65-01 (65N38 73V10)", MRnumber = "1466177 (98d:65002)", MRreviewer = "Carsten Carstensen", bibdate = "Tue May 27 08:36:02 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Fundamentals and applications, With 1 Macintosh floppy disk (3.5 inch; HD)", series = "Oxford Science Publications", URL = "http://www.loc.gov/catdir/enhancements/fy0637/96034311-d.html; http://www.loc.gov/catdir/enhancements/fy0637/96034311-t.html", acknowledgement = ack-nhfb, subject = "Boundary element methods", } @InProceedings{Pool:1997:NSR, author = "J. C. T. Pool", title = "Is numerical software relevant? {Is} it too late to worry about quality?", crossref = "Boisvert:1997:QNS", pages = "3--11", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Powell:1997:RMM, author = "M. J. D. Powell", title = "A Review of Methods for Multivariable Interpolation at Scattered Data Points", crossref = "Duff:1997:SAN", volume = "63", pages = "283--310", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Quarteroni:1997:NAP, author = "Alfio Quarteroni and A. (Alberto) Valli", title = "Numerical approximation of partial differential equations", volume = "23", publisher = pub-SV, address = pub-SV:adr, edition = "2nd, corr. print.", pages = "xvi + 543", year = "1997", ISBN = "3-540-57111-6", ISBN-13 = "978-3-540-57111-7", ISSN = "0179-3632", LCCN = "QA377 .Q37 1997", bibdate = "Tue May 27 08:34:36 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Springer series in computational mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0812/97160884-d.html", acknowledgement = ack-nhfb, subject = "Differential equations, Partial; Numerical solutions; Approximation theory", } @InProceedings{Reid:1997:TAE, author = "J. K. Reid", title = "Two approaches to exception handling in {Fortran}", crossref = "Boisvert:1997:QNS", pages = "210--223", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Book{Rogers:1997:NMF, author = "L. C. G. Rogers and D. Talay", title = "Numerical methods in finance", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "x + 326", year = "1997", ISBN = "0-521-57354-8 (hardback)", ISBN-13 = "978-0-521-57354-2 (hardback)", LCCN = "HG174 .N86 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Publications of the Newton Institute", acknowledgement = ack-nhfb, keywords = "finance --- mathematical models", } @InProceedings{Sanz-Serna:1997:GI, author = "J. M. Sanz-Serna", title = "Geometric Integration", crossref = "Duff:1997:SAN", volume = "63", pages = "121--144", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Schiesser:1997:CTP, author = "W. E. Schiesser and C. A. Silebi", title = "Computational transport phenomena: numerical methods for the solution of transport problems", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "x + 457", year = "1997", ISBN = "0-521-55378-4 (hardbound), 0-521-55653-8 (paperback)", ISBN-13 = "978-0-521-55378-0 (hardbound), 978-0-521-55653-8 (paperback)", LCCN = "QA929 .S35 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "chemical engineering --- problems, exercises, etc; fluid dynamics; viscosity", } @Book{Schwalbe:1997:VVD, author = "Dan Schwalbe and S. Wagon", title = "{VisualDSolve}: visualizing differential equations with {Mathematica}", publisher = pub-TELOS, address = pub-TELOS:adr, pages = "xiv + 271", year = "1997", ISBN = "0-387-94721-3", ISBN-13 = "978-0-387-94721-1", LCCN = "QA 371.5 D37 S39 1997", bibdate = "Fri May 21 07:05:23 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "differential equations -- numerical solutions -- data processing; differential equations -- numerical solutions -- graphic methods; VisualDSolve", } @Book{Schwarz:1997:NM, author = "Hans Rudolf Schwarz", title = "{Numerische Mathematik}", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, edition = "Fourth", pages = "653", year = "1997", ISBN = "3-519-32960-3", ISBN-13 = "978-3-519-32960-2", MRclass = "65-01", MRnumber = "1600010 (99f:65003)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "With a contribution by J{\"o}rg Waldvogel", acknowledgement = ack-nhfb, } @InProceedings{Shampine:1997:DOS, author = "L. F. Shampine and M. W. Reichelt", title = "Developing {ODE} software in new computing environments", crossref = "Boisvert:1997:QNS", pages = "224--235", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Book{Shampine:1997:FNC, author = "Lawrence F. Shampine and Richard C. {Allen, Jr.} and Steven Pruess", title = "Fundamentals of numerical computing", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "x + 268", year = "1997", ISBN = "0-471-16363-5 (hardcover)", ISBN-13 = "978-0-471-16363-3 (hardcover)", LCCN = "QA297 .A52 1997", MRclass = "65-01", MRnumber = "1421071 (97h:65003)", bibdate = "Tue May 27 08:36:04 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/description/wiley033/96022074.html; http://www.loc.gov/catdir/toc/onix04/96022074.html", acknowledgement = ack-nhfb, subject = "Numerical analysis; Data processing", } @InProceedings{Shanno:1997:IPM, author = "David F. Shanno and Evangelia M. Simantiraki", title = "Interior Point Methods for Linear and Nonlinear Programming", crossref = "Duff:1997:SAN", volume = "63", pages = "339--362", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @InProceedings{Shokin:1997:NRG, author = "Y. I. Shokin", title = "New resource-sparing grid methods for solving the problems of mathematical physics", crossref = "Boisvert:1997:QNS", pages = "361--374", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Snyder:1997:TFO, author = "W. V. Snyder", title = "Testing functions of one and two arguments", crossref = "Boisvert:1997:QNS", pages = "155--166", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @Book{Sol:1997:MIU, author = "H. Sol and C. W. J. Oomens", title = "Material identification using mixed numerical experimental methods: proceedings of the {EUROMECH} Colloquium held in Kerkrade, The Netherlands, 7--9 April 1997", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "ix + 240", year = "1997", ISBN = "0-7923-4779-X", ISBN-13 = "978-0-7923-4779-8", LCCN = "TA418.9.C6 E947 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "composite materials --- mechanical properties -- congresses; elastoplasticity --- congresses", } @InProceedings{Stuart:1997:CSN, author = "Andrew Stuart", title = "Convergence and Stability in the Numerical Approximation of Dynamical Systems", crossref = "Duff:1997:SAN", volume = "63", pages = "145--170", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @InProceedings{Suli:1997:FEM, author = "Endre S{\"u}li and Paul Houston", title = "Finite Element Methods for Hyperbolic Problems: a Posteriori Error Analysis and Adaptivity", crossref = "Duff:1997:SAN", volume = "63", pages = "441--472", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Toro:1997:RSN, author = "E. F. Toro", title = "{Riemann} solvers and numerical methods for fluid dynamics: a practical introduction", publisher = pub-SV, address = pub-SV:adr, pages = "xviii + 592", year = "1997", ISBN = "3-540-61676-4 (Berlin)", ISBN-13 = "978-3-540-61676-4 (Berlin)", LCCN = "QA911 .T66 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "fluid dynamics; fluid dynamics --- data processing", } @Book{Trefethen:1997:NLA, author = "Lloyd N. (Lloyd Nicholas) Trefethen and David {Bau III}", title = "Numerical Linear Algebra", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xii + 361", year = "1997", DOI = "https://doi.org/10.1137/1.9780898719574", ISBN = "0-89871-361-7", ISBN-13 = "978-0-89871-361-9", LCCN = "QA184 .T74 1997", MRclass = "65-01 (65-02 65Fxx)", MRnumber = "1444820 (98k:65002)", MRreviewer = "Moody T. Chu", bibdate = "Tue May 27 08:36:06 MDT 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0665/96052458-d.html; http://www.loc.gov/catdir/enhancements/fy0665/96052458-t.html", acknowledgement = ack-nhfb, subject = "Algebras, Linear; Numerical calculations", } @Book{Tyrtyshnikov:1997:BIN, author = "E. E. (Evgenii Evgen'evich) Tyrtyshnikov", title = "A brief introduction to numerical analysis", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "xii + 202", year = "1997", ISBN = "0-8176-3916-0 (hardcover), 3-7643-3916-0", ISBN-13 = "978-0-8176-3916-7 (hardcover), 978-3-7643-3916-6", LCCN = "QA297 .T97 1997", MRclass = "65-01", MRnumber = "1442956 (97m:65005)", bibdate = "Tue May 27 08:36:08 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, keywords = "numerical analysis", subject = "Numerical analysis", } @Book{Ueberhuber:1997:NCM, author = "Christoph W. Ueberhuber", title = "Numerical Computation: Methods, Software, and Analysis", publisher = pub-SV, address = pub-SV:adr, pages = "xvi + 474 (vol. 1), xvi + 495 (vol. 2)", year = "1997", DOI = "https://doi.org/10.1007/978-3-642-59118-1", ISBN = "3-540-62058-3 (vol. 1: softcover), 3-540-62057-5 (vol. 2: softcover), 3-642-59118-3 (e-book)", ISBN-13 = "978-3-540-62058-7 (vol. 1: softcover), 978-3-540-62057-0 (vol. 2: softcover), 978-3-642-59118-1 (e-book)", LCCN = "QA297 .U2413 1997", bibdate = "Thu Oct 28 15:17:48 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$44.95 (vol. 1), US\$49.95 (vol. 2)", abstract = "This book is the first part of a modern, two-volume introduction to numerical computation, which strongly emphasizes software aspects. It can serve as a textbook for courses on numerical analysis, particularly for engineers. The book can also be used as a reference book and it includes an extensive bibliography. The author is a well-known specialist in numerical analysis who was involved in the creation of the software package QUADPACK.", acknowledgement = ack-nhfb, tableofcontents = "1 Scientific Modeling \\ 1.1 Reality Versus Model \\ 1.2 The Model Subject and the Model \\ 1.3 The Model Subject and Reality \\ 1.4 Model Building \\ 2 Fundamental Principles of Numerical Methods \\ 2.1 From Application Problems to their Numerical Solution \\ 2.2 Numerical Problems \\ 2.3 Types of Errors in Numerics \\ 2.4 The Condition of Mathematical Problems \\ 2.5 The Condition of Application Problems \\ 2.6 The Mathematical Elements of Condition Estimation \\ 2.7 Validation of Numerical Computations \\ 3 Computers for Numerical Data Processing \\ 3.1 Processors \\ 3.2 Memory \\ 3.3 Performance Quantification \\ 3.4 Analytical Performance Assessment \\ 3.5 Empirical Performance Assessment \\ 4 Numerical Data and Numerical Operations \\ 4.1 Mathematical Data \\ 4.2 Numerical Data on Computers \\ 4.3 Operations on Numerical Data \\ 4.4 Number Systems on Computers \\ 4.5 Structure of Floating-Point Systems \\ 4.6 Standardization of Floating-Point Number Systems \\ 4.7 Arithmetics for Floating-Point Systems \\ 4.8 Inquiry Functions and Manipulation of Numbers in Fortran 90 \\ 4.9 Operations with Algebraic Data \\ 4.10 Operations with Arrays \\ 4.11 Operations with Analytic Data \\ 5 Numerical Algorithms \\ 5.1 The Intuitive Notion of an Algorithm \\ 5.2 Properties of Algorithms \\ 5.3 Existence of Algorithms \\ 5.4 Practical Solvability of Problems \\ 5.5 Complexity of Algorithms \\ 5.6 Representation of Algorithms \\ 5.7 Influence of Rounding Errors on Numerical Algorithms \\ 5.8 Case Study: Floating-Point Summation \\ 6 Numerical Programs \\ 6.1 The Quality of Numerical Programs \\ 6.2 Reasons for Poor Efficiency \\ 6.3 The Measurement of Performance Indices \\ 6.4 Performance Optimization \\ 6.5 Architecture Independent Optimizations \\ 6.6 Loop Optimizations \\ 6.7 Blocked Memory Access \\ 6.8 Case Study: Multiplication of Matrices \\ 7 Available Numerical Software \\ 7.1 The Cost of Software \\ 7.2 Sources of Numerical Software \\ 7.3 Software and the Internet \\ 7.4 Interactive Multifunctional Systems \\ 7.5 Problem Solving Environments \\ 7.6 Case Study: Software for Elliptic PDEs \\ 8 Using Approximation in Mathematical Model Building \\ 8.1 Analytic Models \\ 8.2 Information and Data \\ 8.3 Discrete Approximation \\ 8.4 Function Approximation \\ 8.5 Choosing a Model Function \\ 8.6 Choice of the Distance Function \\ 8.7 Transformation of the Problem \\ 9 Interpolation \\ 9.1 Interpolation Problems \\ 9.2 Mathematical Foundations \\ 9.3 Univariate Polynomial Interpolation \\ 9.4 Univariate, Piecewise, Polynomial Interpolation \\ 9.5 Polynomial Splines \\ 9.6 B-Splines \\ 9.7 Cubic Spline Interpolation \\ 9.8 Splines Without Undesirable Oscillations \\ 9.9 Multivariate Interpolation \\ 9.10 Multivariate Polynomial Interpolation \\ 9.11 Multivariate (Sub- ) Spline Interpolation \\ 9.12 Related Problems and Methods \\ Glossary of Notation \\ Author Index", } @InProceedings{Umetani:1997:VDN, author = "Y. Umetani", title = "The visual diagnosis on numerical calculation of {PDE} problems and experiments", crossref = "Boisvert:1997:QNS", pages = "333--344", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{vanderVorst:1997:YOS, author = "Henk A. {van der Vorst} and Gene H. Golub", title = "150 Years Old and Still Alive: Eigenproblems", crossref = "Duff:1997:SAN", volume = "63", pages = "93--120", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{VanLoan:1997:ISC, author = "Charles F. {Van Loan}", title = "Introduction to scientific computing: a matrix-vector approach using {MATLAB}", publisher = pub-PH, address = pub-PH:adr, pages = "xi + 347", year = "1997", ISBN = "0-13-125444-8", ISBN-13 = "978-0-13-125444-2", LCCN = "QA76.9.M35V375 1997", bibdate = "Thu Mar 19 09:50:03 MST 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "The MATLAB curriculum series", acknowledgement = ack-nhfb, keywords = "Computer science -- Mathematics; Electronic digital computers -- Programming; Mathematics -- Use of -- Computers; MATLAB", } @Book{vanLoon:1997:NMS, author = "M. van Loon", title = "Numerical methods in smog prediction", volume = "120", publisher = pub-CWI, address = pub-CWI:adr, pages = "iv + 149", year = "1997", ISBN = "90-6196-473-3", ISBN-13 = "978-90-6196-473-5", LCCN = "TD884.3 .L66 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "CWI tract", acknowledgement = ack-nhfb, keywords = "numerical grid generation (numerical analysis); smog --- Europe --- mathematical models", } @InProceedings{Vouk:1997:QSS, author = "M. A. Vouk and M. P. Singh", title = "Quality of service and scientific workflows", crossref = "Boisvert:1997:QNS", pages = "77--89", year = "1997", bibdate = "Wed Nov 3 09:05:21 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IFIP; numerical software; quality", } @InProceedings{Watson:1997:AAE, author = "G. A. Watson", title = "Aspects of Approximation with Emphasis on the Univariate Case", crossref = "Duff:1997:SAN", volume = "63", pages = "261--282", year = "1997", bibdate = "Tue Nov 2 18:47:44 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "IMA; mathematics; numerical analysis", } @Book{Aberth:1998:PNM, author = "Oliver Aberth", title = "Precise numerical methods using {C++}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xiv + 238", year = "1998", ISBN = "0-12-041750-2", ISBN-13 = "978-0-12-041750-6", LCCN = "QA76.73.C153 A32 1998", MRclass = "65-01", MRnumber = "1611589", bibdate = "Tue May 27 08:36:10 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/reliablecomputing.bib; z3950.loc.gov:7090/Voyager", note = "With 1 CD-ROM (Windows 95)", URL = "http://www.loc.gov/catdir/description/els033/98117803.html; http://www.loc.gov/catdir/toc/els032/98117803.html", acknowledgement = ack-nhfb, keywords = "C (computer program language); numerical analysis -- data processing", subject = "C++ (Computer program language); Numerical analysis; Data processing", tableofcontents = "I. Introduction \\ II. Various Arithmetics \\ III. Solvable Problems and Nonsolvable Problems -- IV. Computing Derivatives and Integrals \\ V. Finding Zeros of Real Functions \\ VI. Finding Zeros of Polynomials and Other Analytic Functions \\ VII. Problems of Linear Algebra \\ VIII. Optimization Problems \\ IX. Numerical Solution of Ordinary Differential Equations \\ X. The C++ System for Precise Computation.", } @Book{Allen:1998:NAA, author = "Myron B. {Allen, III} and Eli L. Isaacson", title = "Numerical analysis for applied science", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xi + 492", year = "1998", ISBN = "0-471-55266-6", ISBN-13 = "978-0-471-55266-6", LCCN = "QA297 .A53 1998 Bar", MRclass = "65-01", MRnumber = "1490578 (98k:65001)", bibdate = "Tue May 27 08:36:13 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "A Wiley-Interscience publication.", series = "Pure and Applied Mathematics (New York)", URL = "http://www.loc.gov/catdir/bios/wiley042/97016688.html; http://www.loc.gov/catdir/description/wiley033/97016688.html; http://www.loc.gov/catdir/toc/wiley022/97016688.html", acknowledgement = ack-nhfb, author-dates = "1954--", keywords = "numerical analysis", remark = "``A Wiley-Interscience publication.''.", subject = "Numerical analysis", } @Book{Barrow:1998:SDE, author = "David Barrow and others", title = "Solving differential equations with {Maple V, release 4}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "viii + 253", year = "1998", ISBN = "0-534-34555-7", ISBN-13 = "978-0-534-34555-6", LCCN = "QA371.5.D37S65 1998", bibdate = "Fri May 21 06:22:29 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Brooks/Cole symbolic computation series", acknowledgement = ack-nhfb, keywords = "Differential equations -- Numerical solutions -- Data processing.; Maple (Computer file)", } @Book{Baumann:1998:SAD, author = "Gerd Baumann", title = "Symmetry analysis of differential equations with {Mathematica}", publisher = pub-TELOS, address = pub-TELOS:adr, pages = "xii + 521", year = "1998", ISBN = "0-387-98552-2 (hardcover)", ISBN-13 = "978-0-387-98552-7 (hardcover)", LCCN = "QA371.B36 1998", bibdate = "Fri May 21 07:11:19 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "Differential equations -- Numerical solutions -- Computer; Mathematica (Computer program language); programs; Symmetry (Physics)", } @Book{Betounes:1998:PDE, author = "David Betounes", title = "Partial differential equations for computational science: with {Maple} and vector analysis", publisher = pub-TELOS, address = pub-TELOS:adr, pages = "xix + 517", year = "1998", ISBN = "0-387-98300-7 (hardcover)", ISBN-13 = "978-0-387-98300-4 (hardcover)", LCCN = "QA377.B53 1998", bibdate = "Fri May 21 06:22:29 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "System requirements: Macintosh or Windows-based system; 16MB RAM (minimum).", keywords = "Differential equations, Partial -- Numerical solutions; Maple (Computer file); Vector analysis", } @Book{Blobel:1998:SNM, author = "Volker Blobel and Erich Lohrmann", title = "{Statistische und numerische Methoden der Datenanalyse} ({German}) [{Statistical} and numerical methods of data analysis]", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, pages = "358", year = "1998", ISBN = "3-519-03243-0", ISBN-13 = "978-3-519-03243-4", MRclass = "65-01 (62-01 65U05)", MRnumber = "1663344", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Teubner Studienb{\"u}cher Physik. [Teubner Textbooks in Physics]", acknowledgement = ack-nhfb, language = "German", } @Book{Bruneau:1998:SIC, author = "Charles-Henri Bruneau", title = "Sixteenth International Conference on Numerical Methods in Fluid Dynamics: proceedings of the conference held in Arcachon, France, 6--10 July 1998", volume = "515", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 568", year = "1998", ISBN = "3-540-65153-5", ISBN-13 = "978-3-540-65153-6", ISSN = "0075-8450 (print), 1616-6361 (electronic)", ISSN-L = "0075-8450", LCCN = "QA911 .I58 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lecture notes in physics", acknowledgement = ack-nhfb, keywords = "differential equations, partial --- numerical solutions --- congresses; fluid dynamics -- mathematics --- congresses; fluid dynamics --- industrial applications --- congresses; numerical analysis -- congresses", } @Book{Chapra:1998:NME, author = "Steven C. Chapra and Raymond P. Canale", title = "Numerical methods for engineers: with programming and software applications", publisher = "WCB/McGraw-Hill", address = "Boston, MA, USA", edition = "Third", pages = "xix + 924", year = "1998", ISBN = "0-07-010938-9", ISBN-13 = "978-0-07-010938-4", LCCN = "TA345 .C47 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "engineering mathematics --- data processing; microcomputers --- programming; numerical calculations --- data processing", } @Manual{Charlton:1998:NSC, author = "Eric F. Charlton", title = "Numerical stability and control analysis towards falling-leaf prediction capabilities of splitflow for two generic high-performance aircraft models", number = "NASA/CR-1998-208730", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1998", LCCN = "DOC NAS 1.26:208730 mf11 Microcopy Rm", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 99-0618-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1999] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "aerodynamic characteristics; aircraft models; aircraft performance; angle of attack; computational fluid dynamics; design analysis; fighter aircraft; supersonic aircraft", } @Book{Cividini:1998:ANM, author = "Annamaria Cividini", title = "Application of numerical methods to geotechnical problems: proceedings of the fourth European Conference on Numerical Methods in Geotechnical Engineering, {NUMGE98}, Udine, Italy, October 14--16, 1998", volume = "397", publisher = pub-SV, address = pub-SV:adr, pages = "765", year = "1998", ISBN = "3-211-83141-X", ISBN-13 = "978-3-211-83141-0", ISSN = "0254-1971", LCCN = "TA703.5 .E92 1998 Bar", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Organized by: European Regional Technical Committee ERTC7 \ldots{} of the International Society for Soil Mechanics and Foundation Engineering.", series = "CISM courses and lectures / International Centre for Mechanical Sciences", acknowledgement = ack-nhfb, keywords = "engineering geology --- mathematics --- congresses; numerical analysis --- congresses; soil mechanics -- mathematics --- congresses", } @Book{Desideri:1998:MDS, author = "Jean-Antoine D{\'e}sid{\'e}ri", title = "Mod{\`e}les discrets et sch{\'e}mas it{\'e}ratifs. ({French}) [{Discrete} models and iterative schemes]", publisher = pub-HERMES, address = pub-HERMES:adr, pages = "349", year = "1998", ISBN = "2-86601-710-2", ISBN-13 = "978-2-86601-710-1", MRclass = "65-01 (65M55 65N55)", MRnumber = "1746412 (2000k:65001)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Application aux algorithmes multigrilles et multidomaines. [Application to multigrid and multidomain algorithms]", acknowledgement = ack-nhfb, language = "French", } @Book{Dongarra:1998:NLA, author = "Jack J. Dongarra and Iain S. Duff and Danny C. Sorensen and Henk A. van der Vorst", title = "Numerical Linear Algebra for High-Performance Computers", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xviii + 342", year = "1998", ISBN = "0-89871-428-1", ISBN-13 = "978-0-89871-428-9", LCCN = "QA76.88 .N86 1998", MRclass = "65-02 (65Fxx 65G50); 65-02 (65Fxx 65G05)", MRnumber = "MR1654239 (2000a:65002)", MRreviewer = "Zahari Zlatev", bibdate = "Sat Dec 31 06:28:14 2005", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; MathSciNet database", series = "Software, Environments, and Tools", URL = "http://www.loc.gov/catdir/enhancements/fy0726/98044444-d.html; http://www.loc.gov/catdir/enhancements/fy0726/98044444-t.html", acknowledgement = ack-nhfb, } @Book{ElDabaghi:1998:ANM, author = "F. El Dabaghi", title = "Approximations and numerical methods for the solution of Maxwell's Equations", volume = "65", publisher = pub-CLARENDON, address = pub-CLARENDON:adr, pages = "xvi + 390", year = "1998", ISBN = "0-19-851483-2", ISBN-13 = "978-0-19-851483-1", LCCN = "QC670.75 .A66 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Based on the proceedings of the third international conference on approximations and numerical methods for the solution of Maxwell's equations, organised by the Institute of Mathematics and its Applications and held at St. Johns College at the University of Oxford in April 1995.", series = "The Institute of Mathematics and Its Applications conference series: new series", acknowledgement = ack-nhfb, keywords = "Maxwell's equations --- numerical solutions -- congresses", } @Book{Faires:1998:NM, author = "J. Douglas Faires and Richard L. Burden", title = "Numerical methods", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Second", pages = "xi + 594", year = "1998", ISBN = "0-534-35187-5", ISBN-13 = "978-0-534-35187-8", LCCN = "QA297 .F35 1998", MRclass = "65-01", MRnumber = "1639937", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "With 1 IBM-PC floppy disk (3.5 inch; HD)", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Ferziger:1998:NME, author = "Joel H. Ferziger", title = "Numerical methods for engineering application", publisher = pub-WILEY, address = pub-WILEY:adr, edition = "Second", pages = "xvii + 378", year = "1998", ISBN = "0-471-11621-1 (cloth)", ISBN-13 = "978-0-471-11621-9 (cloth)", LCCN = "TA335 .F47 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "A Wiley-Interscience publication.", acknowledgement = ack-nhfb, keywords = "engineering mathematics; numerical analysis", } @Book{Gentle:1998:NLA, author = "James E. Gentle", title = "Numerical Linear Algebra for Applications in Statistics", publisher = pub-SV, address = pub-SV:adr, pages = "xiii + 221", year = "1998", ISBN = "0-387-95489-9", ISBN-13 = "978-0-387-95489-9", LCCN = "QA184 .G45 1998", bibdate = "Mon Dec 08 11:34:27 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Griffiths:1998:NAP, author = "D. F. Griffiths and D. J. Higham and G. A. Watson", title = "Numerical analysis 1997: proceedings of the 17th Dundee Biennial Conference, June 24--27, 1997", volume = "380", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "254", year = "1998", ISBN = "0-582-31261-2 (paperback)", ISBN-13 = "978-0-582-31261-6 (paperback)", ISSN = "0269-3674", LCCN = "QA297.D85 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Pitman research notes in mathematics series", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Book{Gustafson:1998:ACM, author = "Grant B. Gustafson and Calvin H. Wilcox", title = "Analytical and Computational Methods of Advanced Engineering Mathematics", volume = "28", publisher = pub-SV, address = pub-SV:adr, pages = "xxii + 729", year = "1998", ISBN = "0-387-98265-5", ISBN-13 = "978-0-387-98265-6", LCCN = "TA330 .G87 1998", bibdate = "Sat Jul 03 08:08:09 2004", bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/utah-math-dept-books.bib", series = "Texts in applied mathematics", URL = "http://www.springeronline.com/sgw/cda/frontpage/0,10735,4-40109-22-1522238-0,00.html", abstract = "This is a readable, innovative textbook of mathematical methods for undergraduate engineering and science students. The text is designed for a one-year course and is centered around the topics which form the essentials of engineering mathematics: ordinary differential equations, vector calculus, linear algebra, and partial differential equations. Ordinary differential equations are developed in a setting found suitable for scientists and engineers. Linear algebra, in particular, is a strong point of the book. The authors use a practical approach based upon solving equations, and all ideas are introduced from this basic viewpoint. Partial differential equations are introduced in the context of physical problems, rather than in an abstract setting. Emphasis is on the solution of an extensive and varied number of real-world problems, each treated completely and in sufficient depth to be self-contained. Advanced Engineering Mathematics is based on the authors' 25 years of university experience in teaching engineering mathematics.", acknowledgement = ack-nhfb, tableofcontents = "1: Numerical analysis \\ 2: Ordinary differential equations of first order \\ 3: Ordinary differential equations of higher order \\ 4: The Laplace transform \\ 5: Linear algebra \\ 6: Vector analysis \\ 7: Partial differential equations of mathematical physics \\ 8: Fourier analysis and Sturm-Liouville theory \\ 9: Boundary value problems of mathematical physics \\ A: Answers and Hints", } @Book{Hanselman:1998:MMC, author = "Duane C. Hanselman and Bruce Littlefield", title = "Mastering {MATLAB 5}: a comprehensive tutorial and reference", publisher = pub-PH, address = pub-PH:adr, pages = "xviii + 638", year = "1998", ISBN = "0-13-858366-8", ISBN-13 = "978-0-13-858366-8", LCCN = "QA297.H296 1998", bibdate = "Thu Mar 19 09:50:03 MST 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "The MATLAB curriculum series", acknowledgement = ack-nhfb, keywords = "MATLAB; Numerical analysis -- Data processing", } @Book{Herzberger:1998:UNM, author = "J{\"u}rgen Herzberger", title = "{{\"Ubungsbuch zur numerischen Mathematik}}. ({German}) [{Exercise} book for numerical mathematics]", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "x + 132", year = "1998", DOI = "https://doi.org/10.1007/978-3-322-83138-5", ISBN = "3-528-06948-1", ISBN-13 = "978-3-528-06948-3", MRclass = "65-01 (00A07)", MRnumber = "1614643", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Typische Aufgaben mit ausgearbeiteten L{\"o}sungen zur Numerik und zum wissenschaftlichen Rechnen. [Typical problems with worked-out solutions on numerics and on scientific computing]", series = "Vieweg Mathematik. [Vieweg Mathematics]", acknowledgement = ack-nhfb, language = "German", } @Book{Judd:1998:NME, author = "Kenneth L. Judd", title = "Numerical methods in economics", publisher = pub-MIT, address = pub-MIT:adr, pages = "xiii + 633", year = "1998", ISBN = "0-262-10071-1 (hardcover)", ISBN-13 = "978-0-262-10071-7 (hardcover)", LCCN = "HB137 .J83 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "economics --- statistical methods", } @Book{Kreinovich:1998:CCF, author = "Vladik Kreinovich and Anatoly V. Lakeyev and Jir{\'\i} Rohn and P. Kahl", title = "Computational complexity and feasibility of data processing and interval computations", volume = "10", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xii + 459", year = "1998", ISBN = "0-7923-4865-6 (hardcover)", ISBN-13 = "978-0-7923-4865-8 (hardcover)", LCCN = "QA267.7 .C68 1998", bibdate = "Mon Feb 6 12:14:14 MST 2012", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/rc.bib; z3950.loc.gov:7090/Voyager", series = "Applied optimization", URL = "http://www.loc.gov/catdir/enhancements/fy0814/97043085-d.html; http://www.loc.gov/catdir/enhancements/fy0814/97043085-t.html", acknowledgement = ack-nhfb, subject = "Computational complexity; Numerical calculations; Data processing; Interval analysis (Mathematics)", } @Book{Kress:1998:NA, author = "Rainer Kress", title = "Numerical analysis", volume = "181", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 326", year = "1998", DOI = "https://doi.org/10.1007/978-1-4612-0599-9", ISBN = "0-387-98408-9 (hardcover)", ISBN-13 = "978-0-387-98408-7 (hardcover)", LCCN = "QA297 .K725 1998", MRclass = "65-01", MRnumber = "1621952 (99c:65001)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 08:36:42 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Graduate Texts in Mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0815/97043748-d.html; http://www.loc.gov/catdir/enhancements/fy0815/97043748-t.html", acknowledgement = ack-nhfb, author-dates = "1941--", keywords = "numerical analysis", subject = "Numerical analysis", } @Book{Lucquin:1998:ISC, author = "Brigitte Lucquin and Olivier Pironneau", title = "Introduction to Scientific Computing", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xviii + 361", month = jan, year = "1998", ISBN = "0-471-97266-5 (paper), 0-471-97934-1 (PPC)", ISBN-13 = "978-0-471-97266-2 (paper), 978-0-471-97934-0 (PPC)", LCCN = "QC20.7.D5 L8313 1998", MRclass = "65-01 (65-04 65Mxx 65Nxx)", MRnumber = "1627818 (99f:65002)", MRreviewer = "Ian Gladwell", bibdate = "Tue May 27 08:36:43 MDT 2014", bibsource = "http://www.amazon.com/exec/obidos/ISBN=0471972665/wholesaleproductA/; https://www.math.utah.edu/pub/tex/bib/fortran3.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Translated from the French by Michel Kern", price = "US\$64.95", URL = "http://www.loc.gov/catdir/description/wiley032/97022466.html; http://www.loc.gov/catdir/toc/wiley022/97022466.html", acknowledgement = ack-nhfb, subject = "Differential equations, Partial; Numerical solutions; Data processing; Engineering mathematics; FORTRAN 77 (Computer program language); Mathematical physics", } @Manual{Modica:1998:AMN, author = "Edward Modica", title = "Analytical methods, numerical modeling, and monitoring strategies for evaluating the effects of ground-water withdrawals on unconfined aquifers in the {New Jersey Coastal Plain}", number = "98-4003", organization = "Branch of Information Services [distributor]", address = "Denver, CO, USA", pages = "vii + 65", year = "1998", LCCN = "GB701 W3752 no.98-4003", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Prepared in cooperation with the New Jersey Department of Environmental Protection.", series = "Water-resources investigations report", acknowledgement = ack-nhfb, keywords = "aquifers --- new jersey; groundwater --- new jersey; hydrology --- methodology; water withdrawals --- new jersey", } @Book{Palm:1998:IME, author = "William J. (William John) Palm", title = "Introduction to {MATLAB} for engineers", publisher = "WCB\slash McGraw-Hill", address = "Boston, MA, USA", pages = "xx + 316", year = "1998", ISBN = "0-07-047328-5", ISBN-13 = "978-0-07-047328-7", LCCN = "QA297.P32 1998", bibdate = "Thu Mar 19 09:50:03 MST 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "McGraw-Hill's BEST--basic engineering series and tools", acknowledgement = ack-nhfb, keywords = "MATLAB; Numerical analysis -- Data processing", } @Book{Pozrikidis:1998:NCS, author = "C. (Constantine) Pozrikidis", title = "Numerical computation in science and engineering", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xi + 627", year = "1998", ISBN = "0-19-511253-9 (hardcover)", ISBN-13 = "978-0-19-511253-5 (hardcover)", LCCN = "QA297 .P69 1998", MRclass = "65-01", MRnumber = "1616093", bibdate = "Tue May 27 08:36:45 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0604/97038185-d.html; http://www.loc.gov/catdir/enhancements/fy0604/97038185-t.html", acknowledgement = ack-nhfb, author-dates = "1958--", subject = "Numerical analysis", } @Book{Quarteroni:1998:MN, author = "A. Quarteroni and R. Sacco and F. Saleri", title = "Matematica numerica. ({Italian}) [{Numerical} mathematics]", publisher = pub-SV, address = pub-SV:adr, pages = "xiv + 488", year = "1998", ISBN = "88-470-0010-6", ISBN-13 = "978-88-470-0010-0", MRclass = "65-01", MRnumber = "1702282", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Italian", } @Book{Rappaz:1998:IAN, author = "Jacques Rappaz and Marco Picasso", title = "Introduction {\`a} l'analyse num{\'e}rique. ({French}) [{Introduction} to numerical analysis]", publisher = "Presses Polytechniques et Universitaires Romandes", address = "Lausanne, Switzerland", pages = "x + 256", year = "1998", ISBN = "2-88074-363-X", ISBN-13 = "978-2-88074-363-5", MRclass = "65-01", MRnumber = "1611590 (98m:65002)", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Math{\'e}matiques. [Mathematics]", acknowledgement = ack-nhfb, language = "French", } @Book{Redfern:1998:MH, author = "Darren Redfern and Colin Campbell", title = "The {MATLAB 5} handbook", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 488", year = "1998", ISBN = "0-387-94200-9 (softcover)", ISBN-13 = "978-0-387-94200-1 (softcover)", LCCN = "QA297 .R395 1998", bibdate = "Wed Nov 16 12:09:45 MST 2005", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, keywords = "Matlab", subject = "MATLAB; Numerical analysis; Data processing", } @Book{Rheinboldt:1998:MSS, author = "Werner C. Rheinboldt", title = "Methods for solving systems of nonlinear equations", volume = "70", publisher = pub-SIAM, address = pub-SIAM:adr, edition = "Second", pages = "ix + 148", year = "1998", DOI = "https://doi.org/10.1137/1.9781611970012", ISBN = "0-89871-415-X (paperback)", ISBN-13 = "978-0-89871-415-9 (paperback)", LCCN = "QA214 .R44 1998", MRclass = "65-01 (65H10)", MRnumber = "1645489 (2000c:65001)", MRreviewer = "Eugene Allgower", bibdate = "Tue May 27 08:36:50 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "CBMS-NSF Regional Conference Series in Applied Mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0726/98027321-d.html; http://www.loc.gov/catdir/enhancements/fy0726/98027321-t.html", acknowledgement = ack-nhfb, subject = "Equations, Simultaneous; Data processing; Nonlinear theories; Numerical analysis", } @Book{Salvi:1998:NET, author = "Rodolfo Salvi", title = "{Navier--Stokes} equations: theory and numerical methods", volume = "388", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "347", year = "1998", ISBN = "0-582-35643-1 (paperback)", ISBN-13 = "978-0-582-35643-6 (paperback)", ISSN = "0269-3674", LCCN = "QA911 .N38 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Conference proceedings of the ``International Conference on Navier--Stokes Equations: Theory and Numerical Methods'' held in Villa Monastero, 2--6 June 1997, at Varenna, Lecco.", series = "Pitman research notes in mathematics series", acknowledgement = ack-nhfb, keywords = "Navier--Stokes equations --- congresses; Navier--Stokes equations --- numerical solutions --- congresses", } @MastersThesis{Seshasayee:1998:NSF, author = "Srikumar Seshasayee", title = "Numerical studies of flows in micro-channels, using finite difference and finite element methods", type = "Thesis (M.S.)", school = "University of California, Santa Barbara", address = "Santa Barbara, CA, USA", year = "1998", LCCN = "TJ159.7.U5 S25 SESS 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "dissertations, academic --- UCSB --- Mechanical and Environmental Engineering", } @Book{Shahi:1998:CVM, author = "Avantika Shahi", title = "A cybertheatre a virtual movie zone designed using {VRML} and {JavaScript}", publisher = "????", address = "????", pages = "44", year = "1998", bibdate = "Tue Sep 21 10:27:35 MDT 1999", bibsource = "ftp://www.math.utah.edu/pub/tex/bib/sgml.bib; https://www.math.utah.edu/pub/tex/bib/java.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; https://www.math.utah.edu/pub/tex/bib/sgml.bib", acknowledgement = ack-nhfb, annote = "Final project in UCLA School of Architecture. Project (M. Arch.)--UCLA, 1998.", keywords = "Cinematography --- Scientific applications.; Java (computer program language); Technology and the arts.; VRML (Computer program language)", } @Book{Sigmon:1998:MP, author = "Kermit Sigmon and {The MathWorks Staff}", title = "{MATLAB} Primer", publisher = pub-CRC, address = pub-CRC:adr, edition = "Fifth", pages = "130", year = "1998", ISBN = "0-8493-1305-8", ISBN-13 = "978-0-8493-1305-9", LCCN = "QA297.S4787 1998", bibdate = "Thu Mar 19 09:50:03 MST 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$14.95", acknowledgement = ack-nhfb, annote = "Rev. ed. of: MATLAB primer / Kermit Sigmon. 4th ed. c1994.", keywords = "MATLAB; Numerical analysis -- Data processing", } @Book{Smith:1998:PFE, author = "I. M. (Ian Moffat) Smith and D. V. Griffiths", title = "Programming the finite element method", publisher = pub-WILEY, address = pub-WILEY:adr, edition = "Third", pages = "xii + 534", year = "1998", ISBN = "0-471-96542-1 (hardcover), 0-471-96543-X (paperback)", ISBN-13 = "978-0-471-96542-8 (hardcover), 978-0-471-96543-5 (paperback)", LCCN = "TA347.F5 S64 1997", MRclass = "65-01 (65-04 65N30 73V05)", MRnumber = "1606888 (98m:65003)", bibdate = "Tue May 27 08:36:51 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/description/wiley035/96054905.html; http://www.loc.gov/catdir/enhancements/fy0609/96054905-b.html; http://www.loc.gov/catdir/toc/wiley022/96054905.html", acknowledgement = ack-nhfb, author-dates = "1940--", subject = "Finite element method; Computer programs; Subroutines (Computer programs); Computer-aided engineering", } @Book{Stewart:1998:AGG, author = "G. W. (Gilbert W.) Stewart", title = "Afternotes goes to graduate school: lectures on advanced numerical analysis", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xii + 245", year = "1998", DOI = "https://doi.org/10.1137/1.9781611971422", ISBN = "0-89871-404-4 (paperback)", ISBN-13 = "978-0-89871-404-3 (paperback)", LCCN = "QA297 .S784 1998", MRclass = "65-01", MRnumber = "1613128 (98m:65004)", bibdate = "Fri Nov 16 09:49:25 MST 2012", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "A series of lectures on advanced numerical analysis presented at the University of Maryland at College Park and recorded after the fact.", URL = "http://www.loc.gov/catdir/enhancements/fy0726/97044449-d.html; http://www.loc.gov/catdir/enhancements/fy0726/97044449-t.html", acknowledgement = ack-nhfb, subject = "Numerical analysis", tableofcontents = "Part I. Approximation \\ Lecture 1. General observations \\ Decline and fall \\ The linear sine \\ Approximation in normed linear spaces \\ Significant differences \\ Lecture 2. The space $C[0,1]$ \\ Existence of best approximations \\ Uniqueness of best approximations \\ Convergence in $C[0,1]$ \\ The Weierstrass approximation theorem \\ Bernstein polynomials \\ Comments \\ Lecture 3. Chebyshev approximation \\ Uniqueness \\ Convergence of Chebyshev approximations \\ Rates of convergence \\ Part II. Linear and Cubic Splines \\ Lecture 10. Piecewise linear interpolation \\ The error in $L(f)$ \\ Approximations in the $\infty$-norm \\ Hat functions \\ Integration \\ Least squares approximation \\ Implementations issues \\ Lecture 11. Cubic splines \\ Derivation of the cubic spline \\ End conditions \\ Convergence \\ Locality \\ Part III. Eigensystems \\ Part IV. Krylov Sequence Methods \\ Part V. Iterations, Linear and Nonlinear", } @Book{Stewart:1998:MAV, author = "G. W. (Gilbert W.) Stewart", title = "Matrix algorithms. Volume 1. Basic decompositions", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xix + 458", year = "1998", DOI = "https://doi.org/10.1137/1.9781611971408", ISBN = "0-89871-414-1", ISBN-13 = "978-0-89871-414-2", LCCN = "QA188 .S714 1998", MRclass = "65-01 (65Fxx)", MRnumber = "1653546", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Basic decompositions", abstract = "This volume is the first in a self-contained five-volume series devoted to matrix algorithms. It focuses on the computation of matrix decompositions---that is, the factorization of matrices into products of similar ones. The first two chapters provide the required background from mathematics and computer science needed to work effectively in matrix computations. The remaining chapters are devoted to the LU and QR decompositions---their computation and applications. The singular value decomposition is also treated, although algorithms for its computation will appear in the second volume of the series. The present volume contains 65 algorithms formally presented in pseudocode. Other volumes in the series will treat eigensystems, iterative methods, sparse matrices, and structured problems. The series is aimed at the nonspecialist who needs more than black-box proficiency with matrix computations. To give the series focus, the emphasis is on algorithms, their derivation, and their analysis. The reader is assumed to have a knowledge of elementary analysis and linear algebra and a reasonable amount of programming experience, typically that of the beginning graduate engineer or the undergraduate in an honors program. Strictly speaking, the individual volumes are not textbooks, although they are intended to teach, the guiding principle being that if something is worth explaining, it is worth explaining fully. This has necessarily restricted the scope of the series, but the selection of topics should give the reader a sound basis for further study.", acknowledgement = ack-nhfb, tableofcontents = "Algorithms \\ Notation \\ Preface \\ Chapter 1. Matrices, algebra, and analysis \\ Chapter 2. Matrices and machines \\ Chapter 3. Gaussian elimination \\ Chapter 4. The QR decomposition and least squares \\ Chapter 5. Rank-reducing decompositions \\ References \\ Index", } @Book{Turcotte:1998:CAM, author = "Louis H. Turcotte and H. B. (Howard B.) Wilson", title = "Computer applications in mechanics of materials using {MATLAB}", publisher = pub-PH, address = pub-PH:adr, pages = "xi + 321", year = "1998", ISBN = "0-13-749060-7", ISBN-13 = "978-0-13-749060-8", LCCN = "TA405 .T787 1998", bibdate = "Wed Nov 16 11:09:20 MST 2005", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, keywords = "Computer-aided engineering; Materials -- Mathematical models; MATLAB; Numerical analysis -- Data processing", subject = "Materials; Mathematical models; MATLAB; Numerical analysis; Data processing; Computer-aided engineering", } @Book{Tveito:1998:IPD, author = "Aslak Tveito and Ragnar Winther", title = "Introduction to partial differential equations: a computational approach", volume = "29", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 392", year = "1998", ISBN = "0-387-98327-9 (hardcover)", ISBN-13 = "978-0-387-98327-1 (hardcover)", LCCN = "QA377 .T9 1998", MRclass = "65-01 (35-01)", MRnumber = "1636504 (99k:65001)", MRreviewer = "Darrell L. Hicks", bibdate = "Tue May 27 08:36:59 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "A computational approach", series = "Texts in Applied Mathematics", acknowledgement = ack-nhfb, author-dates = "1961--", subject = "Differential equations, Partial", } @Manual{USGS:1998:AMN, author = "{United States. Geological Survey}", title = "Analytical Methods, Numerical Modeling, and Monitoring Strategies for Evaluating the Effects of Ground-Water Withdrawals, etc.", type = "Water-Resources Investigations Report", number = "98-4003", organization = "U.S. Geological Survey", address = "Denver, CO, USA", year = "1998", LCCN = "GB701.W375 no.98-4003", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping List \#: 98-0307-P Shipping List Date: 07/23/98", acknowledgement = ack-nhfb, } @Manual{USNASA:1998:CSN, author = "{United States. National Aeronautics and Space Administration}", title = "Comparison of Several Numerical Methods for Simulation of Compressible Shear Layers", number = "NASA-TP-3484", organization = pub-NASA, address = pub-NASA:adr, day = "26", month = jun, year = "1998", LCCN = "DOC NAS 1.60:3484 mf11 Microcopy Rm", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping List \#: 99-0723-M Shipping List Date: 08/02/99", acknowledgement = ack-nhfb, } @Manual{USNASA:1998:NAB, author = "{United States. National Aeronautics and Space Administration}", title = "Numerical Analysis of Base Flowfield for a Four-Engine Clustered Nozzle Configuration", number = "NASA-TM-112304", organization = pub-NASA, address = pub-NASA:adr, day = "16", month = sep, year = "1998", LCCN = "DOC NAS 1.15:112304 mf11 Microcopy Rm", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping List \#: 99-0055-M Shipping List Date: 11/23/98", acknowledgement = ack-nhfb, } @Manual{USNASA:1998:NPS, author = "{United States. National Aeronautics and Space Administration}", title = "Numerical Propulsion System Simulation Software Standards and Procedures Specification", number = "NASA-TP-3692", organization = pub-NASA, address = pub-NASA:adr, day = "1", month = dec, year = "1998", LCCN = "DOC NAS 1.60:3692 mf11 Microcopy Rm", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping List \#: 98-0733-M Shipping List Date: 06/08/98", acknowledgement = ack-nhfb, } @Book{Veldhuizen:1998:GFLb, author = "Todd L. Veldhuizen", title = "Grid Filters for Local Nonlinear Image Restoration", publisher = "University of Waterloo", address = "Waterloo, Ontario, Canada", year = "1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/v/veldhuizen-todd-l.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "M.A.Sc. Thesis", URL = "http://extreme.indiana.edu/~tveldhui/papers/", abstract = "A new approach to local nonlinear image restoration is described, based on approximating functions using a regular grid of points in a many-dimensional space. Symmetry reductions and compression of the sparse grid make it feasible to work with twelve-dimensional grids as large as $ 22^{12} $. Unlike polynomials and neural networks whose filtering complexity per pixel is linear in the number of filter coefficients, grid filters have $ O(1) $ complexity per pixel. Grid filters require only a single presentation of the training samples, are numerically stable, leave unusual image features unchanged, and are a superset of order statistic filters. Results are presented for additive noise, blurring, and superresolution.", keywords = "coherent superresolution; document imaging; function approximation; grid filters; image restoration; incoherent superresolution; local nonlinear filters; MMSE filters; nonlinear image processing; order-statistic filters; piecewise linear interpolation; regularization; signal processing; sparse grids; symmetry", } @Book{Vincent:1998:NMF, author = "Alain Vincent", title = "Numerical methods in fluid mechanics", volume = "16", publisher = pub-AMS, address = pub-AMS:adr, pages = "xiv + 199", year = "1998", ISBN = "0-8218-0813-3", ISBN-13 = "978-0-8218-0813-9", ISSN = "1065-8580", LCCN = "QC145.2 .N86 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "CRM proceedings and lecture notes", acknowledgement = ack-nhfb, keywords = "fluid mechanics --- methodology; numerical analysis", } @Book{Zachary:1998:ISP, author = "Joseph L. Zachary", title = "Introduction to scientific programming: computational problem solving using {Mathematica} and {C}", publisher = pub-TELOS, address = pub-TELOS:adr, pages = "xxiv + 433", year = "1998", ISBN = "0-387-98250-7 (hardcover)", ISBN-13 = "978-0-387-98250-2 (hardcover)", LCCN = "QA76.6.Z324 1998", bibdate = "Fri May 21 07:11:19 MDT 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, annote = "System requirements: Mathematical 2.2, ANSI C compiler, Macintosh, Unix, or DOS computer capable of reading DOS-formatted high-density diskettes.", keywords = "C (Computer program language); Computer programming; Mathematica (Computer file)", } @Book{Ainsworth:1999:GSG, editor = "Mark Ainsworth and Jeremy Levesley and Marco Marletta", title = "The Graduate Student's Guide to Numerical Analysis '98: Lecture Notes from the {VIII EPSRC Summer School in Numerical Analysis}", volume = "26", publisher = pub-SV, address = pub-SV:adr, pages = "x + 250", year = "1999", ISBN = "3-540-65752-5 (hardcover)", ISBN-13 = "978-3-540-65752-1 (hardcover)", ISSN = "0179-3632", LCCN = "QA 297 G67 1999", MRclass = "65-01 (65-02 65-06)", MRnumber = "1714225 (2000e:65001)", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Lecture notes from the 8th EPSRC Numerical Analysis Summer School held at the University of Leicester, Leicester, July 5--17, 1998", series = "Springer series in computational mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0815/99032314-d.html; http://www.loc.gov/catdir/enhancements/fy0815/99032314-t.html", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Backstrom:1999:WFE, author = "Gunnar B{\"a}ckstr{\"o}m", title = "Waves by finite element analysis", publisher = pub-STUDENTLITTERATUR, address = pub-STUDENTLITTERATUR:adr, pages = "viii + 189", year = "1999", ISBN = "91-44-01007-9", ISBN-13 = "978-91-44-01007-6", MRclass = "65-01 (65-04 78-08 81-08)", MRnumber = "1678577", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, } @Book{Bardi:1999:SDG, author = "M. Bardi and T. E. S. Raghavan and T. Parthasarathy", title = "Stochastic and differential games: theory and numerical methods", volume = "4", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xvi + 380", year = "1999", ISBN = "0-8176-4029-0 (hardcover)", ISBN-13 = "978-0-8176-4029-3 (hardcover)", LCCN = "QA272 .S76 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Annals of the International Society of Dynamic Games", acknowledgement = ack-nhfb, keywords = "differential games; Hamilton--Jacobi equations --- numerical solutions; stochastic processes", } @Book{Biran:1999:ME, author = "Adrian Biran and Moshe Breiner", title = "{MATLAB 5} for Engineers", publisher = pub-AW, address = pub-AW:adr, edition = "Second", pages = "xvi + 688", year = "1999", ISBN = "0-201-36043-8", ISBN-13 = "978-0-201-36043-1", LCCN = "QA297.B52 1999", bibdate = "Tue Mar 09 16:50:09 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Rev. ed. of: MATLAB for engineers (1995)", URL = "http://www.awl-he.com/titles/11606.html", acknowledgement = ack-nhfb, keywords = "engineering mathematics -- data processing; Matlab; numerical analysis -- data processing", } @Book{Constantinides:1999:NMC, author = "A. Constantinides and Navid Mostoufi", title = "Numerical methods for chemical engineers with {MATLAB} applications", publisher = pub-PHPTR, address = pub-PHPTR:adr, pages = "xxv + 560", year = "1999", ISBN = "0-13-013851-7", ISBN-13 = "978-0-13-013851-4", LCCN = "QA297 .C6494 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Prentice-Hall international series in the physical and chemical engineering sciences", acknowledgement = ack-nhfb, keywords = "chemical engineering --- mathematics --- data processing; Matlab; numerical analysis --- data processing", } @Book{Cutlip:1999:PSC, author = "Michael B. Cutlip and Mordechai Shacham", title = "Problem solving in chemical engineering with numerical methods", publisher = pub-PHPTR, address = pub-PHPTR:adr, pages = "xxxii + 458", year = "1999", ISBN = "0-13-862566-2", ISBN-13 = "978-0-13-862566-5", LCCN = "TP168 .C88 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Prentice-Hall international series in the physical and chemical engineering sciences", acknowledgement = ack-nhfb, keywords = "chemical engineering --- data processing; chemical engineering --- problems, exercises, etc; numerical analysis; problem solving", } @Book{Dubois:1999:DMM, author = "Thierry Dubois and Fran{\c{c}}ois Jauberteau and Roger Temam", title = "Dynamic multilevel methods and the numerical simulation of turbulence", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xix + 289", year = "1999", ISBN = "0-521-62165-8 (hardcover)", ISBN-13 = "978-0-521-62165-6 (hardcover)", LCCN = "QA913 .D88 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "differentiable dynamical systems; Navier--Stokes equations --- numerical solutions; turbulence", } @Book{Durran:1999:NMW, author = "Dale R. Durran", title = "Numerical methods for wave equations in geophysical fluid dynamics", volume = "32", publisher = pub-SV, address = pub-SV:adr, pages = "xvii + 465", year = "1999", ISBN = "0-387-98376-7 (New York)", ISBN-13 = "978-0-387-98376-9 (New York)", LCCN = "QC809.F5 D87 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Texts in applied mathematics", acknowledgement = ack-nhfb, keywords = "differentialequations, partial --- numerical solutions; fluid dynamics --- methodology; geophysics --- methodology; numerical analysis; wave equation", } @Book{Fausett:1999:ANA, author = "Laurene V. Fausett", title = "Applied numerical analysis using {MATLAB}", publisher = pub-PH, address = pub-PH:adr, pages = "xii + 596", year = "1999", ISBN = "0-13-319849-9", ISBN-13 = "978-0-13-319849-2", LCCN = "QA297 .F38 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "Matlab; numerical analysis --- data processing", } @Book{Gasquet:1999:FAA, author = "Claude Gasquet and Patrick Witomski", title = "{Fourier} analysis and applications: filtering, numerical computation, wavelets", volume = "30", publisher = pub-SV, address = pub-SV:adr, pages = "xviii + 442", year = "1999", ISBN = "0-387-98485-2 (hardcover)", ISBN-13 = "978-0-387-98485-8 (hardcover)", LCCN = "QA403.5 .G37 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Texts in applied mathematics", acknowledgement = ack-nhfb, keywords = "Fourier analysis", } @Book{Gerald:1999:ANA, author = "Curtis F. Gerald and Patrick O. Wheatley", title = "Applied numerical analysis", publisher = pub-AW, address = pub-AW:adr, edition = "Sixth", pages = "various", year = "1999", ISBN = "0-201-87072-X", ISBN-13 = "978-0-201-87072-5", LCCN = "QA297 .G47 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Book{Golberg:1999:BIM, author = "Michael A. Golberg", title = "Boundary integral methods: numerical and mathematical aspects", publisher = "Computational Mechanics Publications, WIT Press", address = "", pages = "374", year = "1999", ISBN = "1-85312-529-6", ISBN-13 = "978-1-85312-529-4", LCCN = "TA347.B69 G65 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "International series on computational engineering v.1", acknowledgement = ack-nhfb, keywords = "boundary element methods; engineering mathematics", } @Book{Gomez:1999:ESC, editor = "Claude Gomez and others", title = "Engineering and scientific computing with {Scilab}", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xxv + 491", year = "1999", ISBN = "0-8176-4009-6, 3-7643-4009-6", ISBN-13 = "978-0-8176-4009-5, 978-3-7643-4009-4", LCCN = "TA345 .E5334 1999", bibdate = "Sat Jun 13 10:48:46 MDT 2009", bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, libnote = "Not yet in my library.", remark = "Contributing authors: Cary Bunks and Jean-Philippe Chancelier and Fran{\c{c}}ois Delebecque and Maurice Goursat and Ramine Nikoukhah and Serge Steer.", subject = "Engineering; Computer programs; Science; SciLab", } @Book{Guenin:2014:GIO, author = "B. (Bertrand) Guenin and J. (Jochen) K{\"o}nemann and Levent Tuncel", title = "A gentle introduction to optimization", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xi + 269", year = "2014", ISBN = "1-107-05344-7 (hardcover), 1-107-65879-9 (paperback), 1-139-99068-3 (e-book)", ISBN-13 = "978-1-107-05344-1 (hardcover), 978-1-107-65879-0 (paperback), 978-1-139-99068-4 (e-book)", LCCN = "QA402.5 .G84 2014", bibdate = "Thu Sep 18 05:39:23 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.cambridge.org/us/academic/subjects/mathematics/optimization-or-and-risk-analysis/gentle-introduction-optimization", acknowledgement = ack-nhfb, subject = "Mathematical optimization", tableofcontents = "Preface \\ 1. Introduction \\ 2. Solving linear programs \\ 3. Duality through examples \\ 4. Duality theory \\ 5. Applications of duality \\ 6. Solving integer programs \\ 7. Nonlinear optimization \\ Appendix A. Computational complexity \\ References \\ Index", } @Book{Han:1999:PMT, author = "Weimin Han and B. Dayanand Reddy", title = "Plasticity: mathematical theory and numerical analysis", volume = "9", publisher = pub-SV, address = pub-SV:adr, pages = "xiii + 371", year = "1999", ISBN = "0-387-98704-5 (hardcover)", ISBN-13 = "978-0-387-98704-0 (hardcover)", LCCN = "QA931 .H25 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Interdisciplinary applied mathematics", acknowledgement = ack-nhfb, keywords = "numerical analysis; plasticity", } @Book{Harper:1999:NPC, author = "D. A. T. Harper", title = "Numerical palaeobiology: computer-based modelling and analysis of fossils and their distributions", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "x + 468", year = "1999", ISBN = "0-471-97405-6", ISBN-13 = "978-0-471-97405-5", LCCN = "QE721.2.D37 N86 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "paleontology --- data processing; paleontology --- mathematical models", } @Book{Jeffreys:1999:MMP, author = "Harold Jeffreys and Bertha {Swirles Jeffreys}", title = "Methods of Mathematical Physics", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, edition = "Third", pages = "viii + 718", year = "1999", ISBN = "0-521-66402-0 (paperback)", ISBN-13 = "978-0-521-66402-8 (paperback)", LCCN = "QA401 .J4 1999", bibdate = "Thu Aug 17 10:48:45 2023", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Reprint of \cite{Jeffreys:1956:MMP}.", URL = "https://en.wikipedia.org/wiki/Bertha_Swirles; https://en.wikipedia.org/wiki/Harold_Jeffreys", acknowledgement = ack-nhfb, author-dates = "Sir Harold Jeffreys (22 April 1891--18 March 1989); Lady Bertha Swirles Jeffreys (22 May 1903--18 December 1999)", remark = "First edition 1946, second edition 1950, third edition 1956, first paperback edition 1972, reprinted 1978, 1980, 1988, 1992, 1999, 2001. Third edition preface is dated April 1953. Second edition preface is dated 15 November 1948. First edition preface is dated 1946.", subject-dates = "Douglas Rayner Hartree (27 March 1897--12 February 1958)", tableofcontents = "Preface \\ Authors' Notes \\ 1: The Real Variable \\ 2: Scalars and Vectors \\ 3: Tensors \\ 4: Matrices \\ 5: Multiple Integrals \\ 6: Potential Theory \\ 7: Operational Methods \\ 8: Physical Applications of the Operational Method \\ 9: Numerical Methods \\ 10: Calculus of Variations \\ 11: Functions of a Complex Variable \\ 12: Contour Integration and Bromwich's Integral \\ 13: Conformal Representation \\ 14: Fourier's Theorem \\ 15: The Factorial and Related Functions \\ 16: Solution of Linear Differential Equation \\ 17: Asymptotic Expansions \\ 18: The Equations of Potential, Waves, and Heat Conduction \\ 19: Waves in One Dimension and Waves With Spherical Symmetry \\ 20: Conduction of Heat in One and Three Dimensions \\ 21: Bessel Functions \\ 22: Applications of Bessel Functions \\ 23: The Confluent Hypergeometric Function \\ 24: Legendre Functions and Associated Functions \\ 25: Elliptic Functions \\ Notes \\ Appendix on Notation \\ Index", } @Book{Johnson:1999:NNM, author = "M. R. Johnson and G. J. Kearley and H. G. Buttner", title = "Neutrons and numerical methods --- {N2M}: Grenoble, France, December 1998", volume = "479", publisher = pub-AIP, address = pub-AIP:adr, pages = "ix + 238", year = "1999", ISBN = "1-56396-838-X", ISBN-13 = "978-1-56396-838-9", ISSN = "0094-243X (print), 1551-7616 (electronic), 1935-0465", LCCN = "QC793.5.N462 N484 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Sponsored by: Institut Laue-Langevin and Molecular Simulations, Inc.", series = "AIP conference proceedings", acknowledgement = ack-nhfb, keywords = "neutrons --- congresses; neutrons --- diffraction --- congresses; neutrons --- scattering --- congresses", } @Book{Ketkar:1999:NTA, author = "Satish P. Ketkar", title = "Numerical thermal analysis", publisher = pub-ASME, address = pub-ASME:adr, pages = "viii + 103", year = "1999", ISBN = "0-7918-0073-3", ISBN-13 = "978-0-7918-0073-7", LCCN = "TJ260 .K38 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "heat engineering --- mathematics; numerical analysis", } @Book{Kim:1999:NMD, author = "A. V. Kim and V. G. Pimenov", title = "Numerical methods for delay differential equations", volume = "44", publisher = "Seoul National University, Research Institute of Mathematics, Global Analysis Research Center", address = "Seoul, Korea", pages = "x + 96", year = "1999", MRclass = "65-01 (34K05 65L06)", MRnumber = "1671286 (2000a:65001)", MRreviewer = "Yun Kang Liu", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Application of $i$-smooth calculus", series = "Lecture Notes Series", acknowledgement = ack-nhfb, } @Book{Laevskii:1999:MKE, author = "Yu. M. Laevski{\u\i}", title = "Metod konechnykh elementov (osnovy teorii, zadachi). ({Russian}) [{Finite}-element method (basic theory, problems)]", publisher = "Novosibirsk. Gos. Univ.", address = "Novosibirsk, Russia", pages = "167", year = "1999", MRclass = "65-01 (65N15 65N30)", MRnumber = "1879582", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, language = "Russian", } @Book{Lange:1999:NAS, author = "Kenneth Lange", title = "Numerical analysis for statisticians", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 356", year = "1999", ISBN = "0-387-94979-8 (hardcover)", ISBN-13 = "978-0-387-94979-6 (hardcover)", LCCN = "QA297 .L34 1999", MRclass = "65-01 (62-01 65C60)", MRnumber = "1681963 (2000b:65002)", MRreviewer = "Michael J. Evans", bibdate = "Tue May 27 08:37:05 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "Statistics and Computing", URL = "http://www.loc.gov/catdir/enhancements/fy0815/98016688-d.html; http://www.loc.gov/catdir/enhancements/fy0815/98016688-t.html", acknowledgement = ack-nhfb, keywords = "mathematical statistics; numerical analysis", subject = "Numerical analysis; Mathematical statistics", } @Book{Langtangen:1999:CPD, author = "Hans Petter Langtangen", title = "Computational partial differential equations: numerical methods and Diffpack programming", volume = "2", publisher = pub-SV, address = pub-SV:adr, pages = "xxiii + 682", year = "1999", ISBN = "3-540-65274-4", ISBN-13 = "978-3-540-65274-8", LCCN = "QA377 .L355 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lecture notes in computational science and engineering", acknowledgement = ack-nhfb, keywords = "differential equations, partial --- numerical solutions --- data processing; Diffpack (computer file)", } @Book{Lapidus:1999:NSP, author = "Leon Lapidus and George F. Pinder", title = "Numerical solution of partial differential equations in science and engineering", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xiv + 677", year = "1999", DOI = "https://doi.org/10.1002/9781118032961", ISBN = "0-471-35944-0", ISBN-13 = "978-0-471-35944-9", MRclass = "65-01 (65Mxx 65Nxx)", MRnumber = "1718868", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "A Wiley-Interscience Publication", acknowledgement = ack-nhfb, } @Book{Magnus:1999:MDC, author = "Jan R. Magnus and Heinz Neudecker", title = "Matrix Differential Calculus with Applications in Statistics and Econometrics", publisher = pub-Wiley, address = pub-Wiley:adr-C, edition = "Revised", pages = "xviii + 395", year = "1999", ISBN = "0-471-98633-X", ISBN-13 = "978-0-471-98633-1", bibsource = "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", } @Book{Manno:1999:IMC, author = "Istv{\'a}n Manno", title = "Introduction to the {Monte-Carlo} method", publisher = "Akad{\'e}miai Kiad{\'o}", address = "Budapest, Hungary", pages = "162", year = "1999", ISBN = "963-05-7615-5", ISBN-13 = "978-963-05-7615-4", LCCN = "MLCM 99/02850 (Q)", MRclass = "65-01 (65C05)", MRnumber = "1712068 (2000f:65001)", bibdate = "Tue May 27 08:37:10 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, } @Book{Mathews:1999:NMU, author = "John H. Mathews and Kurtis D. Fink", title = "Numerical methods using {MATLAB}", publisher = pub-PH, address = pub-PH:adr, edition = "Third", pages = "viii + 662", year = "1999", ISBN = "0-13-270042-5", ISBN-13 = "978-0-13-270042-9", LCCN = "QA297 .M39 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Rev. ed. of: Numerical methods for mathematics, science, and engineering. 2nd ed. 1992.", acknowledgement = ack-nhfb, keywords = "Matlab; numerical analysis --- data processing", } @Book{Meister:1999:NLG, author = "Andreas Meister", title = "{Numerik linearer Gleichungssysteme}. ({German}) [{Numerical} solution of linear equation systems]", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "x + 222", year = "1999", ISBN = "3-528-03135-2", ISBN-13 = "978-3-528-03135-0", MRclass = "65-01 (65Fxx)", MRnumber = "1749136 (2001g:65001)", MRreviewer = "Gerd P{\"o}nisch", bibdate = "Tue May 27 07:40:02 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Eine Einf{\"u}hrung in moderne Verfahren. [An introduction to modern procedures]", acknowledgement = ack-nhfb, language = "German", } @Book{Ortega:1999:ICN, author = "James M. Ortega and Andrew Swift Grimshaw", title = "An introduction to {C++} and numerical methods", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "x + 273", year = "1999", ISBN = "0-19-511767-0 (paperback)", ISBN-13 = "978-0-19-511767-7 (paperback)", LCCN = "QA297 .O778 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "C (computer program language); numerical analysis --- data processing", } @Book{Part-Enander:1999:MH, author = "Eva P{\"a}rt-Enander and Anders Sj{\"o}berg", title = "The {MATLAB 5} handbook", publisher = pub-AW, address = pub-AW:adr, pages = "xv + 559", year = "1999", ISBN = "0-201-39845-1", ISBN-13 = "978-0-201-39845-8", LCCN = "QA297.P47 1999", bibdate = "Tue Jan 23 09:07:49 MST 2001", bibsource = "https://www.math.utah.edu/pub/tex/bib/matlab.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Rev. ed. of: The MATLAB handbook (1996)", acknowledgement = ack-nhfb, keywords = "Matlab; numerical analysis -- data processing", } @Book{Pytlak:1999:NMO, author = "Rados{\l}aw Pytlak", title = "Numerical Methods for Optimal Control Problems with State Constraints", volume = "1707", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 215", year = "1999", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0097244", ISBN = "3-540-66214-6 (print), 3-540-48662-3 (e-book)", ISBN-13 = "978-3-540-66214-3 (print), 978-3-540-48662-6 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L35 v.1707", bibdate = "Tue May 6 14:55:45 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/lnm1990.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = ser-LECT-NOTES-MATH, URL = "http://link.springer.com/book/10.1007/BFb0097244; http://www.springerlink.com/content/978-3-540-48662-6", acknowledgement = ack-nhfb, keywords = "control theory; mathematical optimization; numerical analysis", series-URL = "http://link.springer.com/bookseries/304", } @Book{Salomon:1999:CGG, author = "David (David) Salomon", title = "Computer graphics and geometric modeling", publisher = pub-SV, address = pub-SV:adr, pages = "xviii + 851", year = "1999", DOI = "https://doi.org/10.1007/978-1-4612-1504-2", ISBN = "0-387-98682-0", ISBN-13 = "978-0-387-98682-1", LCCN = "T385 .S243 1999", MRclass = "65-01 (65D17 65D18 68U05)", MRnumber = "1700773 (2000c:65002)", bibdate = "Tue May 27 08:37:14 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0816/98033424-d.html; http://www.loc.gov/catdir/enhancements/fy0816/98033424-t.html", acknowledgement = ack-nhfb, author-dates = "1938--", subject = "Computer graphics; Mathematical models", } @Book{Thomas:1999:NPD, author = "J. W. (James William) Thomas", title = "Numerical partial differential equations: {Part 2}: Conservation Laws and Elliptic Equations", volume = "33", publisher = pub-SV, address = pub-SV:adr, pages = "xxii + 556", year = "1999", ISBN = "0-387-98346-5 (vol. 2)", ISBN-13 = "978-0-387-98346-2 (vol. 2)", LCCN = "QA377 .T495 1995", MRclass = "65-01 (35J99 35L65 65Mxx 65Nxx)", MRnumber = "1685420 (2000h:65001)", MRreviewer = "Thomas H. Sonar", bibdate = "Tue May 27 08:37:16 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", note = "Conservation laws and elliptic equations", series = "Texts in Applied Mathematics", URL = "http://www.loc.gov/catdir/enhancements/fy0815/95017143-d.html; http://www.loc.gov/catdir/enhancements/fy0815/95017143-t.html", acknowledgement = ack-nhfb, author-dates = "1941--", subject = "Differential equations, Partial; Numerical solutions; Finite differences", } @Book{Toro:1999:RSN, author = "E. F. Toro", title = "{Riemann} solvers and numerical methods for fluid dynamics: a practical introduction", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xix + 624", year = "1999", ISBN = "3-540-65966-8 (hardcover)", ISBN-13 = "978-3-540-65966-2 (hardcover)", LCCN = "QA911 .T66 1999", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "fluid dynamics; fluid dynamics --- data processing", } @Manual{USNASA:1999:NSC, author = "{United States. National Aeronautics and Space Administration}", title = "Numerical Stability and Control Analysis Towards Falling-leaf Prediction Capabilities of Splitflow", number = "NASA/CR-1998-208730", organization = pub-NASA, address = pub-NASA:adr, day = "20", month = jan, year = "1999", LCCN = "NAS 1.26:208730 Govt Pubs", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping List \#: 99-0618-M Shipping List Date: 06/28/99", acknowledgement = ack-nhfb, } @Book{vonSchwerin:1999:MSS, author = "Reinhold von Schwerin", title = "Multibody system simulation: numerical methods, algorithms, and software", volume = "7", publisher = pub-SV, address = pub-SV:adr, pages = "xx + 337", year = "1999", ISBN = "3-540-65662-6 (softcover)", ISBN-13 = "978-3-540-65662-3 (softcover)", ISSN = "1439-7358", LCCN = "QA845 .V66 1999", bibdate = "Wed Oct 18 10:12:12 MDT 2000", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = ser-LNCSE, acknowledgement = ack-nhfb, keywords = "dynamics -- computer simulation; kinematics -- computer simulation", } @Manual{Xu:1999:GED, author = "Kun Xu", title = "Gas evolution dynamics in {Godunov}-type schemes and analysis of numerical shock instability", number = "NASA/CR-1999-208985", organization = pub-NTIS, address = pub-NTIS:adr, pages = "????", year = "1999", LCCN = "DOC NAS 1.26:208985 mf11 Microcopy Rm", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Shipping list no.: 99-0729-M. Microfiche. [Washington, DC: National Aeronautics and Space Administration, 1999] 1 microfiche.", series = "NASA contractor report", acknowledgement = ack-nhfb, keywords = "flux difference splitting; flux vector splitting; functional analysis; gas evolution", } %%%===================================================================== %%% Cross-referenced entries must come last; entries are sorted by year, %%% and then by citation label. @Proceedings{Mohamed:1986:NAB, editor = "J. L. Mohamed and Joan E. Walsh", booktitle = "{Numerical algorithms: [based on lectures given at a joint Liverpool--Manchester summer school in 1984]}", title = "{Numerical algorithms: [based on lectures given at a joint Liverpool--Manchester summer school in 1984]}", publisher = pub-CLARENDON, address = pub-CLARENDON:adr, pages = "xii + 356", year = "1986", ISBN = "0-19-853364-0", ISBN-13 = "978-0-19-853364-1", LCCN = "QA297 .N79 1986", MRclass = "*65-06, 65-02, 65C99, 65Dxx, 65Fxx, 65Kxx, 65Lxx, 65Nxx, 65R20", MRclass = "65-01", MRnumber = "904323 (88m:65006)", MRreviewer = "Syvert P. N{\o}rsett", bibdate = "Wed May 28 10:26:52 2014", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Manchester/Liverpool summer schools in numerical analysis", URL = "http://catdir.loc.gov/catdir/enhancements/fy0637/87001546-d.html; http://catdir.loc.gov/catdir/enhancements/fy0637/87001546-t.html; http://www.gbv.de/dms/hbz/toc/ht002933977.pdf", acknowledgement = ack-nhfb, xxseries = "Oxford Science Publications", } @Proceedings{Celik:1990:NMM, editor = "I. Celik", booktitle = "Numerical methods for multiphase flows: presented at the 1990 Spring Meeting of the Fluids Engineering Division, held in conjunction with the 1990 Forum of the Canadian Society of Mechanical Engineers, University of Toronto, Toronto, Ontario, Canada, June 4--7, 1990", title = "Numerical methods for multiphase flows: presented at the 1990 Spring Meeting of the Fluids Engineering Division, held in conjunction with the 1990 Forum of the Canadian Society of Mechanical Engineers, University of Toronto, Toronto, Ontario, Canada, June 4--7, 1990", volume = "91", publisher = pub-ASME, address = pub-ASME:adr, pages = "v + 96", year = "1990", ISBN = "0-7918-0488-7", ISBN-13 = "978-0-7918-0488-9", LCCN = "QA922 .N86 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Papers collected in this volume represent the Second Symposium on Numerical Methods for Multiphase Flows organized by the Multiphase Flow Committee of the ASME Fluids Engineering Division.", series = "FED", acknowledgement = ack-nhfb, keywords = "multiphase flow --- mathematical models --- congresses", } @Proceedings{Cox:1990:RNC, editor = "M. G. Cox and S. Hammarling", booktitle = "Reliable numerical computation", title = "Reliable numerical computation", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xvi + 339", year = "1990", ISBN = "0-19-853564-3", ISBN-13 = "978-0-19-853564-5", LCCN = "QA297 .R435 1990", MRclass = "65-06", MRnumber = "91k:65011", bibdate = "Fri Dec 20 18:34:52 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Based on papers from a conference in honour of the late James Hardy Wilkinson (born 1919, died Sunday 5th October 1986) held at National Physical Laboratory, Teddington, Middlesex, UK, 8th--10th July 1987.", price = "US\$75.00", acknowledgement = ack-nhfb, } @Proceedings{Emery:1990:SNM, editor = "A. F. Emery", booktitle = "Simulation and numerical methods in heat transfer: presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Dallas, Texas, November 25--30, 1990", title = "Simulation and numerical methods in heat transfer: presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Dallas, Texas, November 25--30, 1990", volume = "157", publisher = pub-ASME, address = pub-ASME:adr, pages = "v + 108", year = "1990", ISBN = "0-7918-0597-2", ISBN-13 = "978-0-7918-0597-8", LCCN = "TJ260 .A415 1990c", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "HTD", acknowledgement = ack-nhfb, keywords = "heat --- transmission --- mathematical models --- congresses", } @Proceedings{Heywood:1990:NSE, editor = "John G. Heywood and Ky{\^u}ya Masuda and Reimund Rautmann and Vsevolod A. Solonnikov", booktitle = "{The Navier--Stokes Equations Theory and Numerical Methods: Proceedings of a Conference held at Oberwolfach, FRG, Sept. 18--24, 1988}", title = "{The Navier--Stokes Equations Theory and Numerical Methods: Proceedings of a Conference held at Oberwolfach, FRG, Sept. 18--24, 1988}", volume = "1431", publisher = pub-SV, address = pub-SV:adr, pages = "vii + 238", year = "1990", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0086050", ISBN = "0-387-52770-2, 3-540-52770-2 (print), 3-540-47141-3 (e-book)", ISBN-13 = "978-0-387-52770-3, 978-3-540-52770-1 (print), 978-3-540-47141-7 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L35 v.1431", bibdate = "Tue May 6 14:55:02 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/lnm1990.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = ser-LECT-NOTES-MATH, URL = "http://link.springer.com/book/10.1007/BFb0086050; http://www.springerlink.com/content/978-3-540-47141-7", acknowledgement = ack-nhfb, keywords = "Navier--Stokes equations --- congresses; Navier--Stokes equations --- numerical solutions --- congresses", series-URL = "http://link.springer.com/bookseries/304", } @Proceedings{Houstis:1990:IMS, editor = "E. N. Houstis and John Rischard Rice and Robert Vichnevetsky", booktitle = "Intelligent mathematical software systems: proceedings of the First IMACS/IFAC International Conference on Expert Systems for Numerical Computing, Purdue University, U.S.A., 5--7 December, 1988", title = "Intelligent mathematical software systems: proceedings of the First {IMACS}/{IFAC} International Conference on Expert Systems for Numerical Computing, Purdue University, {U.S.A.}, 5--7 December, 1988", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xiii + 363", year = "1990", ISBN = "0-444-88682-6", ISBN-13 = "978-0-444-88682-8", LCCN = "QA76.95 .I46 1988", bibdate = "Wed Nov 3 09:11:48 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "computer software --- congresses; expert systems --- congresses; mathematics --- data processing --- congresses; numerical analysis --- data processing --- congresses", source = "Intelligent mathematical software systems", sponsor = "IMACS. IFAC.", } @Proceedings{Kaashoek:1990:PIS, editor = "M. A. Kaashoek and J. H. van Schuppen and A. C. M. Ran", booktitle = "Proceedings of the International Symposium {MTNS-89}", title = "Proceedings of the International Symposium {MTNS-89}", volume = "5", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xxiii + 654 (vol. 2), xxi + 566 (vol. 3)", year = "1990", ISBN = "0-8176-3470-3 (vol. 2), 0-8176-3471-1 (vol. 3), 0-8176-3468-1 (set)", ISBN-13 = "978-0-8176-3470-4 (vol. 2), 978-0-8176-3471-1 (vol. 3), 978-0-8176-3468-1 (set)", LCCN = "QA402 .P766 1990 v. 1--3 (c1990)", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "The 1989 International Symposium on the Mathematical Theory of Networks and Systems (MTNS) \ldots{} held in Amsterdam, The Netherlands, June 19--23, 1989. Contents: vol. 1. Realization and modelling in system theory --- vol. 2. Robust control of linear systems and nonlinear control --- vol. 3. Signal processing, scattering and operator theory, and numerical methods.", series = "Progress in systems and control theory", acknowledgement = ack-nhfb, keywords = "control theory --- congresses; system analysis --- congresses", } @Proceedings{Luxmoore:1990:NMF, editor = "A. R. Luxmoore and D. R. J. Owen", booktitle = "Numerical methods in fracture mechanics: proceedings of the Fifth International Conference held in Freiburg, Federal Republic of Germany, 23rd--27th April, 1990", title = "Numerical methods in fracture mechanics: proceedings of the Fifth International Conference held in Freiburg, Federal Republic of Germany, 23rd--27th April, 1990", publisher = "Pineridge Press", address = "Swansea, UK", pages = "668", year = "1990", ISBN = "0-906674-73-5", ISBN-13 = "978-0-906674-73-4", LCCN = "TA409.I448 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Spine title: Proceedings of the 5th International Conference on Numeral Methods in Fracture Mechanics.", price = "UK\pounds94.00", acknowledgement = ack-nhfb, keywords = "fracture mechanics --- mathematics --- congresses; numerical analysis --- congresses", } @Book{Nash:1990:HSC, editor = "Stephen G. Nash", booktitle = "A History of Scientific Computing", title = "A History of Scientific Computing", publisher = pub-AW # " and " # pub-ACM, address = pub-AW # " and " # pub-ACM:adr, pages = "xix + 359", year = "1990", ISBN = "0-201-50814-1", ISBN-13 = "978-0-201-50814-7", LCCN = "QA76.17 .H59 1990", bibdate = "Wed Dec 15 10:39:57 1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib; https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib; https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib; https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib; https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;; https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib; https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib; https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib; https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib; https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib; https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib; z3950.loc.gov:7090/Voyager", series = "ACM Press history series", acknowledgement = ack-nhfb, author-dates = "Charles William ``Bill'' Gear (1 February 1935--15 March 2022); Garrett Birkhoff (19 January 1911--22 November 1996); Magnus Rudolph Hestenes (13 February 1906--31 May 1991)", remark = "Based on papers presented at the Conference on the History of Scientific and Numeric Computation, held in Princeton, NJ, 1987. A few brief mentions of Alston Householder are indexed in the book, with photographs of him on pages xvi and 344.", subject = "Electronic data processing; History; Science; Data processing", tableofcontents = "Remembrance of things past / Herman H. Goldstine / 5--16 \\ The contribution of J. H. Wilkinson to numerical analysis / B. N. Parlett / 17--30 \\ The influence of George Forsythe and his students / James Varah / 31--40 \\ Howard H. Aiken and the computer / I. Bernard Cohen / 41--52 \\ Particles in their self-consistent field: from Hartree's differential analyzer to Cray machines / Oscar Buneman / 57--62 \\ Fluid dynamics, reactor computations, and surface representation / Garrett Birkhoff / 63--87 \\ The development of ODE methods: a symbiosis between hardware and numerical analysis / C. W. Gear and R. D. Skeel / 88--105 \\ A personal retrospection of reservoir simulation / Donald W. Peaceman / 106--129 \\ How the FFT gained acceptance / James W. Cooley / 133--140 \\ Origins of the simplex method / George B. Dantzig / 141--151 \\ Historical comments on finite elements / J. Tinsley Oden / 152--166 \\ Conjugacy and gradients / Magnus R. Hestenes / 167--179 \\ A historical review of iterative methods / David M. Young / 180--194 \\ Shaping the evolution of numerical analysis in the computer age: the SIAM thrust / I. Edward Block / 199--205 \\ Reminiscences on the University of Michigan summer schools, the Gatlinburg Symposia, and Numerische Mathematik / Richard S. Varga / 206--210 \\ The origin of mathematics of computation and some personal recollections / Eugene Isaacson / 211--216 \\ Mathematical software and ACM publications / John R. Rice / 217--227 \\ BIT --- a child of the computer / Carl-Erik Fr{\"o}berg / 228--233 \\ The Los Alamos experience, 1943--1954 / N. Metropolis / 237--250 \\ The prehistory and early history of computation at the U.S. National Bureau of Standards / John Todd / 251--268 \\ Programmed computing at the Universities of Cambridge and Illinois in the early fifties / David J. Wheeler / 269--279 \\ Early numerical analysis in the United Kingdom / L. Fox / 280--300 \\ The pioneer days of scientific computing in Switzerland / Martin H. Gutknecht / 301--313 \\ The development of computational mathematics in Czechoslovakia and the USSR / I. Babuska / 314--328 \\ The contribution of Leningrad mathematicians to the development of numerical linear algebra, 1950--1986 / V. N. Kublanovskaya / 329--338", } @Proceedings{Pandey:1990:NME, editor = "G. N. Pandey and J. Middleton", booktitle = "Numerical methods in engineering: theory and appreciations", title = "Numerical methods in engineering: theory and appreciations", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "xv + 1193 + [8]", year = "1990", ISBN = "1-85166-462-9 (set), 1-85166-463-7 (vol. 1), 1-85166-464-5 (vol. 2)", ISBN-13 = "978-1-85166-462-7 (set), 978-1-85166-463-4 (vol. 1), 978-1-85166-464-1 (vol. 2)", LCCN = "TA329 .I54 1990 v. 1--2 (c1990)", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Two volumes. NUMETA 90. Proceedings of the Third International Conference on Advances in Numerical Methods in Engineering: Theory and Applications, (NUMETA 90), 7--11 January, 1990, University College of Swansea, Wales, UK. Contents: vol. 1. Numerical techniques of engineering analysis and design --- vol. 2. Transient/dynamic analysis and constitutive laws for engineering materials.", acknowledgement = ack-nhfb, keywords = "engineering mathematics --- congresses; numerical calculations --- congresses", } @Proceedings{Saigal:1990:SAO, editor = "Sunil Saigal and Subrata Mukherjee", booktitle = "Sensitivity analysis and optimization with numerical methods: presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Dallas, Texas, November 25--30, 1990", title = "Sensitivity analysis and optimization with numerical methods: presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Dallas, Texas, November 25--30, 1990", volume = "115", publisher = pub-ASME, address = pub-ASME:adr, pages = "v + 145", year = "1990", ISBN = "0-7918-0595-6", ISBN-13 = "978-0-7918-0595-4", LCCN = "TA658.2 .S47 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "AMD", acknowledgement = ack-nhfb, keywords = "engineering design --- mathematical models --- congresses; mathematical optimization --- congresses", } @Proceedings{Ullrich:1990:CAS, editor = "Christian Ullrich", booktitle = "Computer arithmetic and self-validating numerical methods", title = "Computer arithmetic and self-validating numerical methods", volume = "7", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "xi + 302", year = "1990", ISBN = "0-12-708245-X", ISBN-13 = "978-0-12-708245-5", LCCN = "QA76.9.C62 C663 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proceedings of an international conference held Oct. 2--6, 1989, Basel.", series = "Notes and reports in mathematics in science and engineering", acknowledgement = ack-nhfb, keywords = "computer arithmetic --- congresses; numerical analysis --- congresses", } @Proceedings{Ullrich:1990:CCA, editor = "Christian Ullrich", booktitle = "Contributions to Computer Arithmetic and Self-Validating Numerical Methods. (Proceedings of SCAN 89, held in Basel, Oct. 2--6, 1989)", title = "Contributions to Computer Arithmetic and Self-Validating Numerical Methods. (Proceedings of {SCAN} 89, held in Basel, Oct. 2--6, 1989)", volume = "7", publisher = pub-BALTZER, address = pub-BALTZER:adr, pages = "526", year = "1990", ISBN = "????", ISBN-13 = "????", LCCN = "QA76.9.C62 C664 1990", bibdate = "Sat Nov 29 08:36:57 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "IMACS annals on computing and applied mathematics", acknowledgement = ack-nhfb, keywords = "computer arithmetic --- congresses; numerical analysis --- congresses", xxbooktitle = "SCAN-89, International Symposium on Scientific Computing, Computer Arithmetic, and Numeric Validation [October 1989, Basel, Switzerland]", } @Proceedings{Wesseling:1990:PEG, editor = "Pieter Wesseling", booktitle = "Proceedings of the Eighth {GAMM-Conference} on Numerical Methods in Fluid Mechanics", title = "Proceedings of the Eighth {GAMM-Conference} on Numerical Methods in Fluid Mechanics", volume = "29", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "xii + 618", year = "1990", ISBN = "3-528-07629-1", ISBN-13 = "978-3-528-07629-0", ISSN = "0179-9614", LCCN = "TA 357 G35 1989", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Notes on numerical fluid mechanics", acknowledgement = ack-nhfb, keywords = "fluid mechanics --- congresses; fluid mechanics --- data processing --- congresses; numerical analysis --- congresses", } @Proceedings{Greenspan:1991:NM, editor = "Donald Greenspan and P. Rozsa", booktitle = "Numerical methods", title = "Numerical methods", volume = "59", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "378", year = "1991", ISBN = "0-444-98694-4", ISBN-13 = "978-0-444-98694-8", ISSN = "0139-3383", LCCN = "QA297 .N8618 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Papers from the fifth in a series of conferences on numerical methods.", series = "Colloquia Mathematica Societatis Janos Bolyai", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Proceedings{Kaper:1991:AAN, editor = "H. G. Kaper and Marc Garbey", booktitle = "Asymptotic analysis and the numerical solution of partial differential equations", title = "Asymptotic analysis and the numerical solution of partial differential equations", volume = "130", publisher = pub-DEKKER, address = pub-DEKKER:adr, pages = "viii + 271", year = "1991", ISBN = "0-8247-8538-X", ISBN-13 = "978-0-8247-8538-3", LCCN = "QA377 .A84 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proceedings of a workshop \ldots{} held at Argonne National Laboratory, February 26--28, 1990.", series = "Lecture notes in pure and applied mathematics", acknowledgement = ack-nhfb, keywords = "asymptotic expansions --- congresses; differential equations, partial --- numerical solutions --- congresses", } @Proceedings{Lewis:1991:NMT, editor = "R. W. Lewis and K. Morgan and G. M. Homsy", booktitle = "Numerical methods in thermal problems: proceedings of the seventh international conference held in Stanford, {U.S.A.} on July 8--12th, 1991", title = "Numerical methods in thermal problems: proceedings of the seventh international conference held in Stanford, {U.S.A.} on July 8--12th, 1991", volume = "VII", publisher = "Pineridge Press", address = "Swansea, UK", pages = "1599", year = "1991", ISBN = "0-906674-76-X", ISBN-13 = "978-0-906674-76-5", LCCN = "QC319.8 .N84 1991 Bar", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Two volumes.", series = "Proceedings of the Seventh International Conference on Numerical Methods in Thermal Problems.", acknowledgement = ack-nhfb, keywords = "heat --- transmission --- congresses; numerical analysis --- congresses", } @Proceedings{Light:1991:ANA, editor = "W. A. Light", booktitle = "Advances in numerical analysis", title = "Advances in numerical analysis", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "x + 275 (vol. 1), viii + 210 (vol. 2)", year = "1991", ISBN = "0-19-853438-8 (vol. 1), 0-19-853439-6 (vol. 2)", ISBN-13 = "978-0-19-853438-9 (vol. 1), 978-0-19-853439-6 (vol. 2)", LCCN = "QA297 .A38 1991 v.1-2 (1991-1992)", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proceedings of the fourth Summer School in Numerical Analysis, which was held at Lancaster University from 15th July to 3rd August 1990 \ldots{} sponsored by the Science and Engineering Research Council of Great Britain. Contents: vol. 1. Nonlinear partial differential equations and dynamical systems --- vol. 2. Wavelets, subdivision algorithms, and radial basis functions.", price = "US\$45.00", series = "Oxford science publications", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Proceedings{Neittaanmaki:1991:NMF, editor = "P. Neittaanmaki", booktitle = "Numerical methods for free boundary problems: proceedings of a conference held at the Department of Mathematics, University of Jyvaskyla, Finland, July 23--27, 1990", title = "Numerical methods for free boundary problems: proceedings of a conference held at the Department of Mathematics, University of Jyvaskyla, Finland, July 23--27, 1990", volume = "99", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xv + 439", year = "1991", ISBN = "3-7643-2641-7 (Basel), 0-8176-2641-7 (Boston)", ISBN-13 = "978-3-7643-2641-8 (Basel), 978-0-8176-2641-9 (Boston)", LCCN = "QA379 .N87 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Papers from the Conference on Numerical Methods for Free Boundary Problems.", price = "124.00F (approx.)", series = "International series of numerical mathematics = Internationale Schriftenreihe zur numerischen Mathematik", acknowledgement = ack-nhfb, keywords = "boundary value problems --- numerical solutions --- congresses", } @Proceedings{Richter:1991:NMN, editor = "Claus Richter and Horst Hollatz and Diethard Pallaschke", booktitle = "Numerical methods of nonlinear programming and their implementations", title = "Numerical methods of nonlinear programming and their implementations", volume = "60", publisher = pub-AKADEMIE-VERLAG, address = pub-AKADEMIE-VERLAG:adr, pages = "144", year = "1991", ISBN = "3-05-500883-9", ISBN-13 = "978-3-05-500883-2", ISSN = "0138-3019", LCCN = "QA402.5 .N89 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "The papers published in this volume are based on lectures given at the conference Opti-Soft '89, Quedlinburg, July 7--14, 1989.", series = "Mathematical research", acknowledgement = ack-nhfb, keywords = "algebras, linear; mathematical optimization; nonlinear programming", } @Proceedings{Shearer:1991:VPN, editor = "Michael Shearer", booktitle = "Viscous profiles and numerical methods for shock waves", title = "Viscous profiles and numerical methods for shock waves", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "x + 252", year = "1991", ISBN = "0-89871-283-1", ISBN-13 = "978-0-89871-283-4", LCCN = "QA927 .V57 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proceedings of a workshop at North Carolina State University, Raleigh, North Carolina, May 23--25, 1990.", acknowledgement = ack-nhfb, keywords = "differential equations, hyperbolic --- numerical solutions --- congresses; differential equations, parabolic --- numerical solutions --- congresses; shock waves --- congresses; viscous flow --- congresses", } @Proceedings{Anonymous:1992:NMA, editor = "Anonymous", booktitle = "Numerical methods in applied science and industry", title = "Numerical methods in applied science and industry", publisher = "Universita e politecnico", address = "Torino, Italy", pages = "261", year = "1992", ISSN = "0373-1243", LCCN = "TA331 .N86 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Papers presented at the International Conference on Numerical Methods in Applied Science and Industry held at the Politecnico di Torino, June 18--21, 1990. Fascicolo speciale, 1991.", series = "Rendiconti del Seminario matematico", acknowledgement = ack-nhfb, keywords = "engineering mathematics --- congresses; numerical analysis --- congresses", } @Proceedings{Byrne:1992:RDN, editor = "George D. Byrne and W. E. Schiesser", booktitle = "Recent developments in numerical methods and software for {ODEs\slash DAEs\slash PDEs}", title = "Recent developments in numerical methods and software for {ODEs\slash DAEs\slash PDEs}", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "ix + 208", year = "1992", ISBN = "981-02-0557-0", ISBN-13 = "978-981-02-0557-7", LCCN = "QA370 .R43 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Papers presented at the American Institute of Chemical Enginees Annual Meeting in Chicago, Nov. 11--16, 1990.", acknowledgement = ack-nhfb, keywords = "-- congresses; differential equations --- numerical solutions --- data processing --- congresses; differential equations, partial --- numerical solutions --- data processing; differential-algebraic equations --- numerical solutions --- data processing", } @Proceedings{Espelid:1992:NIR, editor = "Terje O. Espelid and Alan Genz", booktitle = "Numerical integration: recent developments, software, and applications", title = "Numerical integration: recent developments, software, and applications", volume = "357", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xii + 367", year = "1992", ISBN = "0-7923-1583-9", ISBN-13 = "978-0-7923-1583-4", LCCN = "QA299.3.N38 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Published in cooperation with NATO Scientific Affairs Division. Proceedings of the NATO Advanced Research Workshop on Numerical Integration: Recent Developments, Software, and Applications, Bergen, Norway, June 17--21, 1991.", series = "NATO ASI series. Series C, Mathematical and physical sciences", acknowledgement = ack-nhfb, keywords = "numerical integration --- congresses", } @Proceedings{Hackbusch:1992:NTB, editor = "W. Hackbusch", booktitle = "Numerical techniques for boundary element methods: proceedings of the Seventh {GAMM-Seminar}, Kiel, January 25--27, 1991", title = "Numerical techniques for boundary element methods: proceedings of the Seventh {GAMM-Seminar}, Kiel, January 25--27, 1991", volume = "33", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "193", year = "1992", ISBN = "3-528-07633-X", ISBN-13 = "978-3-528-07633-7", ISSN = "0179-9614", LCCN = "TA347.B69 G35 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Notes on numerical fluid mechanics", acknowledgement = ack-nhfb, keywords = "boundary element method --- congresses; boundary value problems --- congresses", } @Proceedings{Heywood:1992:NSE, editor = "John G. Heywood and Ky{\^u}ya Masuda and Reimund Rautmann and Vsevolod A. Solonnikov", booktitle = "{The Navier--Stokes Equations II --- Theory and Numerical Methods: Proceedings of a Conference held in Oberwolfach, Germany, August 18--24, 1991}", title = "{The Navier--Stokes Equations II --- Theory and Numerical Methods: Proceedings of a Conference held in Oberwolfach, Germany, August 18--24, 1991}", volume = "1530", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 322", year = "1992", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0090329", ISBN = "0-387-56261-3, 3-540-56261-3 (print), 3-540-47498-6 (e-book)", ISBN-13 = "978-0-387-56261-2, 978-3-540-56261-0 (print), 978-3-540-47498-2 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", LCCN = "QA3 .L35 v.1530", bibdate = "Tue May 6 14:55:15 MDT 2014", bibsource = "https://www.math.utah.edu/pub/tex/bib/lnm1990.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = ser-LECT-NOTES-MATH, URL = "http://link.springer.com/book/10.1007/BFb0090329; http://www.springerlink.com/content/978-3-540-47498-2", acknowledgement = ack-nhfb, keywords = "Navier--Stokes equations --- congresses; Navier--Stokes equations --- numerical solutions --- congresses", series-URL = "http://link.springer.com/bookseries/304", } @Proceedings{Kuo:1992:PSC, editor = "Pen-yu Kuo and Lung-an Ying", booktitle = "Proceedings of the Second Conference on Numerical Methods for Partial Differential Equations: Nankai University, Tianjin, China, 1--4 May, 1991", title = "Proceedings of the Second Conference on Numerical Methods for Partial Differential Equations: Nankai University, Tianjin, China, 1--4 May, 1991", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "viii + 190", year = "1992", ISBN = "981-02-0929-0", ISBN-13 = "978-981-02-0929-2", LCCN = "QA374 .C6535 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "differential equations, partial --- numerical solutions --- congresses", } @Proceedings{Marti:1992:SON, editor = "Kurt Marti", booktitle = "Stochastic optimization: numerical methods and technical applications: proceedings of a {GAMM\slash IFIP-workshop} held at the Federal Armed Forces University Munich, Neubiberg, {FRG}, May 29--31, 1990", title = "Stochastic optimization: numerical methods and technical applications: proceedings of a {GAMM\slash IFIP-workshop} held at the Federal Armed Forces University Munich, Neubiberg, {FRG}, May 29--31, 1990", volume = "379", publisher = pub-SV, address = pub-SV:adr, pages = "vi + 182", year = "1992", ISBN = "3-540-55225-1 (Berlin), 0-387-55225-1 (New York)", ISBN-13 = "978-3-540-55225-3 (Berlin), 978-0-387-55225-5 (New York)", LCCN = "QA402.5 .S73 1992; HD30 .L432 no.379", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proceedings of a GAMM/IFIP-workshop held at the Federal Armed Forces University Munich, Neubiberg, FRG, May 29--31, 1990.", series = "Lecture notes in economics and mathematical systems", acknowledgement = ack-nhfb, keywords = "mathematical optimization --- congresses; stochastic processes --- congresses", } @Proceedings{Rizzi:1992:PNG, editor = "Arthur Rizzi and Inge L. Ryhming and Jan B. Vos", booktitle = "Proceedings of the Ninth {GAMM} Conference on Numerical Methods in Fluid Mechanics, Lausanne, September 25--27, 1991", title = "Proceedings of the Ninth {GAMM} Conference on Numerical Methods in Fluid Mechanics, Lausanne, September 25--27, 1991", volume = "35", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "xvi + 600", year = "1992", ISBN = "3-528-07635-6", ISBN-13 = "978-3-528-07635-1", ISSN = "0179-9614", LCCN = "TA 357 G35 1991", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Notes on numerical fluid mechanics", acknowledgement = ack-nhfb, keywords = "fluid mechanics --- congresses; fluid mechanics --- data processing --- congresses; numerical analysis --- congresses; numerical analysis --- data processing --- congresses", } @Proceedings{Saran:1992:NMS, editor = "M. J. Saran", booktitle = "Numerical methods for simulation of industrial metal forming processes: presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, California, November 8--13, 1992", title = "Numerical methods for simulation of industrial metal forming processes: presented at the Winter Annual Meeting of the American Society of Mechanical Engineers, Anaheim, California, November 8--13, 1992", volume = "156", publisher = pub-ASME, address = pub-ASME:adr, pages = "v + 101", year = "1992", ISBN = "0-7918-1133-6 (paperback)", ISBN-13 = "978-0-7918-1133-7 (paperback)", LCCN = "TS205 .N85 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "AMD", acknowledgement = ack-nhfb, keywords = "sheet-metal work --- mathematical models --- congresses", } @Proceedings{Verheggen:1992:NMS, editor = "T. M. M. Verheggen", booktitle = "Numerical methods for the simulation of multi-phase and complex flow", title = "Numerical methods for the simulation of multi-phase and complex flow", volume = "398", publisher = pub-SV, address = pub-SV:adr, pages = "vi + 153", year = "1992", ISBN = "3-540-55278-2 (Berlin), 0-387-55278-2 (New York)", ISBN-13 = "978-3-540-55278-9 (Berlin), 978-0-387-55278-1 (New York)", LCCN = "QA922 .N87 1990", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proceedings of a workshop held at Koninklijke/Shell-Laboratorium, Amsterdam, Amsterdam, the Netherlands, 30 May-1 June 1990.", series = "Lecture notes in physics", acknowledgement = ack-nhfb, keywords = "fluid dynamics --- mathematics --- congresses; multiphase flow --- mathematical models --- congresses", } @Proceedings{Allgower:1993:ESA, editor = "E. L. Allgower and Kurt Georg and Rick Miranda", booktitle = "Exploiting symmetry in applied and numerical analysis: 1992 {AMS-SIAM} Summer Seminar in Applied Mathematics, {July 26--August 1, 1992, Colorado State University}", title = "Exploiting symmetry in applied and numerical analysis: 1992 {AMS-SIAM} Summer Seminar in Applied Mathematics, {July 26--August 1, 1992, Colorado State University}", volume = "29", publisher = pub-AMS, address = pub-AMS:adr, pages = "xii + 457", year = "1993", ISBN = "0-8218-1134-7", ISBN-13 = "978-0-8218-1134-4", LCCN = "QA297 .S846 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lectures in applied mathematics", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses; symmetry groups --- congresses", } @Proceedings{Bainov:1993:PFI, editor = "D. Bainov and Valery Covachev", booktitle = "Proceedings of the First International Colloquium on Numerical Analysis, Plovdiv, Bulgaria, 13--17 August 1992", title = "Proceedings of the First International Colloquium on Numerical Analysis, Plovdiv, Bulgaria, 13--17 August 1992", publisher = pub-VSP, address = pub-VSP:adr, pages = "152", year = "1993", ISBN = "90-6764-152-9", ISBN-13 = "978-90-6764-152-4", LCCN = "QA297.I4518 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Proceedings{Beale:1993:VFR, editor = "J. T. Beale and G.-H. Cottet and S. Huberson", booktitle = "Vortex flows and related numerical methods", title = "Vortex flows and related numerical methods", volume = "395", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "vii + 387", year = "1993", ISBN = "0-7923-2250-9", ISBN-13 = "978-0-7923-2250-4", LCCN = "QA925 .V66 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Published in cooperation with NATO Scientific Affairs Division. Proceedings of the NATO Advanced Research Workshop on Vortex Flows and Related Numerical Methods, Grenoble, France, June 15--19, 1992.", series = "NATO ASI series. Series C, Mathematical and physical sciences", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses; vortex-motion --- mathematical models --- congresses", } @Proceedings{Cerjan:1993:NGM, editor = "C. Cerjan", booktitle = "Numerical grid methods and their application to {Schr{\"o}dinger}'s equation", title = "Numerical grid methods and their application to {Schr{\"o}dinger}'s equation", volume = "412", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xv + 247", year = "1993", ISBN = "0-7923-2423-4", ISBN-13 = "978-0-7923-2423-2", LCCN = "QC174.26.W28 N38 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Published in cooperation with NATO Scientific Affairs Division. Proceedings of the NATO Advances Research Workshop on Grid Methods in Atomic and Molecular Quantum Calculations Corte, Corsica, France, September 27--October 3, 1992.", series = "NATO ASI series. Series C, Mathematical and physical sciences", acknowledgement = ack-nhfb, keywords = "numerical grid generation (numerical analysis) --- congresses; Schr{\"o}dinger equation --- congresses", } @Proceedings{Kaper:1993:ANM, editor = "H. G. Kaper and Marc Garbey", booktitle = "Asymptotic and numerical methods for partial differential equations with critical parameters", title = "Asymptotic and numerical methods for partial differential equations with critical parameters", volume = "384", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xviii + 372", year = "1993", ISBN = "0-7923-2061-1", ISBN-13 = "978-0-7923-2061-6", LCCN = "QA377.N37 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Published in cooperation with NATO Scientific Affairs Division. Proceedings of the NATO Advanced Workshop on Asymptotic-Induced Numerical Methods for Partial Differential Equations, Critical Parameters, and Domain Decomposition, Beaune, France, May 25--28, 1992.", series = "NATO ASI series. Series C, Mathematical and physical sciences", acknowledgement = ack-nhfb, keywords = "decomposition (mathematics) --- congresses; differential equations, partial --- asymptotic theory --- congresses; differential equations, partial --- numerical solutions --- congresses", } @Proceedings{More:1993:OSG, editor = "Jorge J. More and Stephen J. Wright", booktitle = "Optimization software guide", title = "Optimization software guide", volume = "14", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xii + 154", year = "1993", ISBN = "0-89871-322-6", ISBN-13 = "978-0-89871-322-0", LCCN = "QA402.5 .M67 1993", bibdate = "Wed Nov 03 09:16:12 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Frontiers in applied mathematics", acknowledgement = ack-nhfb, } @Proceedings{Morton:1993:NMF, editor = "K. W. Morton and M. J. Baines", booktitle = "Numerical methods for fluid dynamics 4", title = "Numerical methods for fluid dynamics 4", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xviii + 604", year = "1993", ISBN = "0-19-853696-8", ISBN-13 = "978-0-19-853696-3", LCCN = "TA357 .N87261 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proceedings of a conference held at Reading University in April 1992. Spine title: Numerical methods for fluid dynamics.", series = "Oxford science publications", acknowledgement = ack-nhfb, keywords = "fluid dynamics --- mathematics --- congresses; numerical calculations --- congresses", } @Proceedings{Bainov:1994:PSI, editor = "D. Bainov and Valery Covachev", booktitle = "Proceedings of the Second International Colloquium on Numerical Analysis: Plovdiv, Bulgaria, 13--17 August 1993", title = "Proceedings of the Second International Colloquium on Numerical Analysis: Plovdiv, Bulgaria, 13--17 August 1993", publisher = pub-VSP, address = pub-VSP:adr, pages = "vi + 198", year = "1994", ISBN = "90-6764-165-0", ISBN-13 = "978-90-6764-165-4", LCCN = "QA297.I4518 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Proceedings{Crowe:1994:NMM, editor = "C. T. Crowe", booktitle = "Numerical methods in multiphase flows, 1994: presented at the 1994 {ASME} Fluids Engineering Division Summer Meeting, Lake Tahoe, Nevada, June 19--23, 1994", title = "Numerical methods in multiphase flows, 1994: presented at the 1994 {ASME} Fluids Engineering Division Summer Meeting, Lake Tahoe, Nevada, June 19--23, 1994", volume = "185", publisher = pub-ASME, address = pub-ASME:adr, pages = "vi + 315", year = "1994", ISBN = "0-7918-1368-1", ISBN-13 = "978-0-7918-1368-3", LCCN = "TA357.5.M84 N8 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Papers collected in this volume represent the Third International Symposium on Numerical Methods in Multiphase Flows organized by the Multiphase Flow Committee of the ASME Fluids Engineering Division.", series = "FED", acknowledgement = ack-nhfb, keywords = "multiphase flow --- mathematical models --- congresses", } @Proceedings{Cuyt:1994:NNM, editor = "Annie Cuyt", booktitle = "Nonlinear numerical methods and rational approximation {II}", title = "Nonlinear numerical methods and rational approximation {II}", volume = "296", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xviii + 446", year = "1994", ISBN = "0-7923-2967-8", ISBN-13 = "978-0-7923-2967-1", LCCN = "QA297 .N642 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proceedings of an international conference held at the University of Antwerp, Belgium, Sept. 5--11, 1993.", series = "Mathematics and its applications", acknowledgement = ack-nhfb, keywords = "approximation theory --- congresses; numerical analysis --- congresses", } @Proceedings{Dimov:1994:ANM, editor = "Ivan Dimov and Blagovest Sendov and Panaiot Vasilevski", booktitle = "Advances in numerical methods and applications: proceedings of the third international conference: Sofia, Bulgaria, 21--26 August 1994", title = "Advances in numerical methods and applications: proceedings of the third international conference: Sofia, Bulgaria, 21--26 August 1994", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "xi + 427", year = "1994", ISBN = "981-02-1926-1", ISBN-13 = "978-981-02-1926-0", LCCN = "QA297 .I516 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Papers presented at the Third International Conference on Numerical Methods and Applications organized by the Bulgarian Academy of Sciences.", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Proceedings{Gomez:1994:AON, editor = "S. Gomez and J. P. Hennart", booktitle = "Advances in optimization and numerical analysis: proceedings of the Sixth Workshop on Optimization and Numerical Analysis, Oaxaca, Mexico", title = "Advances in optimization and numerical analysis: proceedings of the Sixth Workshop on Optimization and Numerical Analysis, Oaxaca, Mexico", volume = "275", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "vii + 285", year = "1994", ISBN = "0-7923-2673-3", ISBN-13 = "978-0-7923-2673-1", LCCN = "QA402.5 .W68 1992", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Mathematics and its applications", acknowledgement = ack-nhfb, keywords = "mathematical optimization --- congresses; numerical analysis --- congresses", } @Proceedings{Hebeker:1994:NMN, editor = "Friedrich-Karl Hebeker and Rolf Rannacher and Gabriel Wittum", booktitle = "Numerical methods for the {Navier--Stokes} equations: proceedings of the international workshop held at Heidelberg, October 25--28, 1993", title = "Numerical methods for the {Navier--Stokes} equations: proceedings of the international workshop held at Heidelberg, October 25--28, 1993", volume = "47", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "vii + 319", year = "1994", ISBN = "3-531-07647-7, 3-528-07647-X", ISBN-13 = "978-3-531-07647-8, 978-3-528-07647-4", ISSN = "0179-9614", LCCN = "QA 929 N85 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Notes on numerical fluid mechanics", acknowledgement = ack-nhfb, keywords = "Navier--Stokes equations --- numerical solutions --- congresses", } @Proceedings{Vradis:1994:NMN, editor = "George C. Vradis and Dennis A. Siginer", booktitle = "Numerical methods for non-{Newtonian} fluid dynamics: presented at the 1994 {ASME} Fluids Engineering Division Summer Meeting, Lake Tahoe, Nevada, June 19--23, 1994", title = "Numerical methods for non-{Newtonian} fluid dynamics: presented at the 1994 {ASME} Fluids Engineering Division Summer Meeting, Lake Tahoe, Nevada, June 19--23, 1994", volume = "179", publisher = pub-ASME, address = pub-ASME:adr, pages = "v + 111", year = "1994", ISBN = "0-7918-1362-2", ISBN-13 = "978-0-7918-1362-1", LCCN = "QA929.5 .N85 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "FED", acknowledgement = ack-nhfb, keywords = "finite element method --- congresses; fluid dynamics --- congresses; non-Newtonian fluids --- congresses", } @Proceedings{Ainsworth:1995:TNO, editor = "Mark Ainsworth", booktitle = "{Theory and numerics of ordinary and partial differential equations: [lecture notes of the Sixth SERC Summer School in Numerical Analysis, held at Leicester from the 18th to the 29th of July, 1994]}", title = "{Theory and numerics of ordinary and partial differential equations: [lecture notes of the Sixth SERC Summer School in Numerical Analysis, held at Leicester from the 18th to the 29th of July, 1994]}", volume = "4", publisher = pub-CLARENDON, address = pub-CLARENDON:adr, pages = "xi + 333", year = "1995", ISBN = "0-19-851193-0", ISBN-13 = "978-0-19-851193-9", LCCN = "????", bibdate = "Wed May 28 10:34:02 MDT 2014", bibsource = "", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Oxford science publications; Advances in numerical analysis", acknowledgement = ack-nhfb, subject = "Aufsatzsammlung.; Differentialgleichung.", } @Proceedings{Bainov:1995:PTI, editor = "D. Bainov and Valery Covachev", booktitle = "Proceedings of the Third International Colloquium on Numerical Analysis: Plovdiv, Bulgaria, 13--17 August 1994", title = "Proceedings of the Third International Colloquium on Numerical Analysis: Plovdiv, Bulgaria, 13--17 August 1994", publisher = pub-VSP, address = pub-VSP:adr, pages = "vi + 229", year = "1995", ISBN = "90-6764-193-6", ISBN-13 = "978-90-6764-193-7", LCCN = "QA297.I45 1994", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Proceedings{Barbour:1995:ENM, editor = "Randall L. Barbour and Mark Joseph Carvlin and M. A. Fiddy", booktitle = "Experimental and numerical methods for solving ill-posed inverse problems: medical and nonmedical applications, 10--11 July 1995, San Diego, California", title = "Experimental and numerical methods for solving ill-posed inverse problems: medical and nonmedical applications, 10--11 July 1995, San Diego, California", volume = "2570", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "394", year = "1995", ISBN = "0-8194-1929-X", ISBN-13 = "978-0-8194-1929-3", LCCN = "QC350 .E96 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Proceedings / SPIE--the International Society for Optical Engineering", acknowledgement = ack-nhfb, keywords = "diagnostic imaging --- mathematics --- congresses; image processing --- digital techniques --- congresses; inverse problems (differential equations) --- congresses", } @Proceedings{Ju:1995:NMS, editor = "J. W. Ju", booktitle = "Numerical methods in structural mechanics: presented at the 1995 Joint {ASME} Applied Mechanics and Materials Summer Meeting, Los Angeles, California, June 28--30, 1995", title = "Numerical methods in structural mechanics: presented at the 1995 Joint {ASME} Applied Mechanics and Materials Summer Meeting, Los Angeles, California, June 28--30, 1995", volume = "204", publisher = pub-ASME, address = pub-ASME:adr, pages = "xii + 235", year = "1995", ISBN = "0-7918-1319-3", ISBN-13 = "978-0-7918-1319-5", LCCN = "TA640.2 .N85 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "AMD", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses; structural analysis (engineering) --- congresses", } @Proceedings{Marti:1995:SPN, editor = "Kurt Marti and Peter Kall", booktitle = "Stochastic programming: numerical techniques and engineering applications: proceedings of the 2nd {GAMM\slash IFIP-Workshop} on ``Stochastic Optimization: Numerical Methods and Technical Applications'', held at the Federal Armed Forces University Munich, Neubiberg\slash {M}{\"u}nchen, Germany, June 15--17, 1993", title = "Stochastic programming: numerical techniques and engineering applications: proceedings of the 2nd {GAMM\slash IFIP-Workshop} on ``Stochastic Optimization: Numerical Methods and Technical Applications'', held at the Federal Armed Forces University Munich, Neubiberg\slash {M}{\"u}nchen, Germany, June 15--17, 1993", volume = "423", publisher = pub-SV, address = pub-SV:adr, pages = "351", year = "1995", ISBN = "0-387-58996-1 (New York), 3-540-58996-1 (Berlin)", ISBN-13 = "978-0-387-58996-1 (New York), 978-3-540-58996-9 (Berlin)", LCCN = "T57.79.G36 1993", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lecture notes in economics and mathematical systems", acknowledgement = ack-nhfb, keywords = "mathematical optimization --- congresses; stochastic processes --- congresses; stochastic programming --- congresses", } @Proceedings{Mitsui:1995:NAO, editor = "T. Mitsui and Y. Shinohara", booktitle = "Numerical analysis of ordinary differential equations and its applications", title = "Numerical analysis of ordinary differential equations and its applications", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "vii + 228", year = "1995", ISBN = "981-02-2229-7", ISBN-13 = "978-981-02-2229-1", LCCN = "QA372 .N85 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Based on papers from the Kyoto Workshop on Numerical Analysis of ODEs held Nov. 1994 at Kyoto University.", acknowledgement = ack-nhfb, keywords = "differential equations --- numerical solutions --- congresses", } @Proceedings{Morton:1995:NMF, editor = "K. W. Morton and M. J. Baines", booktitle = "Numerical methods for fluid dynamics {V}", title = "Numerical methods for fluid dynamics {V}", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xx + 630", year = "1995", ISBN = "0-19-851480-8 (hardcover)", ISBN-13 = "978-0-19-851480-0 (hardcover)", LCCN = "TA357 .N8728 1995", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proceedings of a conference held at Oxford University, April 1995.", acknowledgement = ack-nhfb, keywords = "fluid dynamics --- mathematics --- congresses; numerical calculations --- congresses", } @Proceedings{Alefeld:1996:NME, editor = "G{\"o}tz Alefeld and J{\"u}rgen Herzberger", booktitle = "Numerical methods and error bounds: proceedings of the IMACS GAMM International Symposium on Numerical Methods and Error Bounds held in Oldenburg, Germany, July 9--12, 1995", title = "Numerical methods and error bounds: proceedings of the {IMACS} {GAMM} International Symposium on Numerical Methods and Error Bounds held in Oldenburg, Germany, July 9--12, 1995", volume = "89", publisher = pub-AKADEMIE-VERLAG, address = pub-AKADEMIE-VERLAG:adr, pages = "302", year = "1996", ISBN = "3-05-501696-3 (paperback)", ISBN-13 = "978-3-05-501696-7 (paperback)", ISSN = "0138-3019", LCCN = "QA297 .I455 1995", bibdate = "Tue Nov 02 18:36:50 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Mathematical Research", acknowledgement = ack-nhfb, keywords = "error analysis (mathematics) --- congresses; numerical analysis --- congresses", sponsor = "International Association for Mathematics and Computers in Simulation. Gesellschaft f{\"u}r Angewandte Mathematik und Mechanik.", } @Proceedings{Meinguet:1996:NAN, editor = "Jean Meinguet", booktitle = "Numerical analysis: a numerical analysis conference in honour of {Jean Meinguet}", title = "Numerical analysis: a numerical analysis conference in honour of {Jean Meinguet}", publisher = "Belgian Mathematical Society", address = "Brussels, Belgium", pages = "96 + [2]", year = "1996", LCCN = "QA297.N826 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "This volume is published as a supplement to the Bulletin of the Belgian Mathematical Society, Simon Stevin \ldots{} December 1996. Contents: Matrix computation and the theory of moments / Gene H. Golub (pp. 1--9), --- Convergence of rational interpolants / Herbert Stahl --- Variations on Richardson's method and acceleration / Claude Brezinski --- Andre Louis Cholesky / Claude Brezinski --- On the convergence of multivariate Pad{\'e} approximants / Annie Cuyt, Doron Lubinsky --- Least-squares fitting of circles and ellipses / Walter Gander, Gene H. Golub, Rolf Strebel (pp. 63--84) --- Entropy of Hermite polynomials with application to the harmonic oscillator / Walter van Assche. 6 papers in English, 1 in French.", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Proceedings{Renegar:1996:MNA, editor = "James Renegar and Michael Shub and Steve Smale", booktitle = "The mathematics of numerical analysis: 1995 AMS-SIAM Summer Seminar in Applied Mathematics, July 17--August 11, 1995, Park City, Utah", title = "The mathematics of numerical analysis: 1995 {AMS-SIAM} Summer Seminar in Applied Mathematics, July 17--August 11, 1995, Park City, Utah", volume = "32", publisher = pub-AMS, address = pub-AMS:adr, pages = "xi + 927 + [1]", year = "1996", ISBN = "0-8218-0530-4", ISBN-13 = "978-0-8218-0530-5", ISSN = "0075-8485", LCCN = "QA297 .A57 1995", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lectures in Applied Mathematics --- American Mathematical Society", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", sponsor = "American Mathematical Society. Society for Industrial and Applied Mathematics.", } @Proceedings{Watson:1996:NA, editor = "G. A. Watson and D. F. Griffiths", booktitle = "Numerical analysis 1995", title = "Numerical analysis 1995", volume = "344", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "237", year = "1996", ISBN = "0-582-27633-0 (paperback)", ISBN-13 = "978-0-582-27633-8 (paperback)", ISSN = "0269-3674", LCCN = "QA297.N854 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proceedings of the 16th Dundee Biennial Conference on Numerical Analysis, University of Dundee, June 27--30, 1995.", series = "Pitman research notes in mathematics series", acknowledgement = ack-nhfb, keywords = "numerical analysis --- research", } @Proceedings{Boisvert:1997:QNS, editor = "Ronald F. Boisvert", booktitle = "Quality of numerical software: assessment and enhancement / proceedings of the IFIP TC2/WG2.5 Working Conference on the Quality of Numerical Software, Assessment and Enhancement, Oxford, United Kingdom, 8--12 July 1996", title = "Quality of numerical software: assessment and enhancement / proceedings of the {IFIP} {TC2}/{WG2}.5 Working Conference on the Quality of Numerical Software, Assessment and Enhancement, Oxford, United Kingdom, 8--12 July 1996", publisher = pub-CHAPMAN-HALL, address = pub-CHAPMAN-HALL:adr, pages = "vii + 384", year = "1997", ISBN = "0-412-80530-8", ISBN-13 = "978-0-412-80530-1", LCCN = "QA297.I35 1996", bibdate = "Mon May 17 18:18:12 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", price = "US\$146.50", abstract = "Numerical software is central to our computerized society. It is used to control aeroplanes and bridges, operate manufacturing lines, control power plants and refineries, and analyse financial markets. Such software must be accurate, reliable, robust, efficient, easy to use, maintainable and adaptable. Quality assessment and control of numerical software is still not well understood. Although measurement is a key element, it remains difficult to assess many components of software quality and to evaluate the trade-offs between them.", acknowledgement = ack-nhfb, libnote = "Not yet in my library.", tableofcontents = "1. The problem of numerical software quality \\ 2. Testing and evaluation methodology \\ 3. The effect of new environments on numerical software quality \\ 4. Case studies \\ 5. The conference", } @Proceedings{Conca:1997:NMM, editor = "Carlos Conca and Gabriel N. Gatica", booktitle = "Numerical methods in mechanics", title = "Numerical methods in mechanics", volume = "371", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "174", year = "1997", ISBN = "0-582-31320-1 (paperback)", ISBN-13 = "978-0-582-31320-0 (paperback)", ISSN = "0269-3674", LCCN = "QA801 .N86 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Selected papers from the 4th French-Latinamerican Congress on Applied Mathematics, held at the University of Concepcion, Concepcion, Chile, December 11--15, 1995.", series = "Pitman research notes in mathematics series", acknowledgement = ack-nhfb, keywords = "mechanics --- mathematics --- congresses", } @Proceedings{Duff:1997:SAN, editor = "Iain S. Duff and G. Alistair Watson", booktitle = "The State of the Art in Numerical Analysis", title = "The State of the Art in Numerical Analysis", volume = "63", publisher = pub-OXFORD, address = pub-OXFORD:adr, bookpages = "xiv + 562", pages = "xiv + 562", year = "1997", ISBN = "0-19-850014-9", ISBN-13 = "978-0-19-850014-8", LCCN = "QA297.S775 1997", MRclass = "65-06 (00B25)", MRnumber = "MR1628339 (99a:65008)", bibdate = "Thu Sep 16 11:59:48 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib; https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Based on the proceedings of a conference on the state of the art in numerical analysis. Organized by the Institute of Mathematics and Its Applications and held at York University in April 1996.", series = "The Institute of Mathematics and Its Applications conference series: new series", URL = "https://global.oup.com/academic/product/the-state-of-the-art-in-numerical-analysis-9780198500148", acknowledgement = ack-nhfb, tableofcontents = "1. Recent Developments in Dense Numerical Linear Algebra / N. J. Higham \\ 2. Sparse Numerical Linear Algebra: Direct Methods and Preconditioning / I. S. Duff \\ 3. Closer to the Solution: Iterative Linear Solvers / G. H. Golub and H. A. van der Vorst \\ 4. 150 Years Old and Still Alive: Eigenproblems / H. A. van der Vorst and G. H. Golub \\ 5. Geometric Integration / J. M. Sanz-Serna \\ 6. Convergence and Stability in the Numerical Approximation of Dynamical Systems / A. Stuart \\ 7. Beyond the Classical Theory of Computational Ordinary Differential Equations / A. Iserles \\ 8. Numerical Analysis of Volterra Functional and Integral Equations / C. T. H. Baker \\ 9. The Numerical Solution of Boundary Integral Equations / K. E. Atkinson \\ 10. Aspects of Approximation with Emphasis on the Univariate Case / G. A. Watson \\ 11. A Review of Methods for Multivariable Interpolation at Scattered Data Points / M. J. D. Powell \\ 12. Large Scale Unconstrained Optimization / J. Nocedal \\ 13. Interior Point Methods for Linear and Nonlinear Programming / D. F. Shanno and E. M. Simantiraki \\ 14. Methods for Nonlinear Constraints in Optimization Calculations / A. R. Conn, N. I. M. Gould and Ph. L. Toint \\ 15. Stabilization Techniques and Subgrid Scales Capturing, F. Brezzi, L. P. Franca / T. J. R. Hughes and A. Russo \\ 16. Approximation of Curvature Dependent Interface Motion / C. M. Elliott \\ 17. Finite Element Methods for Hyperbolic Problems: a Posteriori Error Analysis and Adaptivity / E. S{\"u}li and P. Houston \\ 18. Approximation of Multidimensional Hyperbolic Partial Differential Equations / K. W. Morton \\ 19. Algorithms in Tomography / F. Natterer \\ 20. Partial Differential Equations and Image Iterative Filtering / F. Guichard and J.-M. Morel", } @Proceedings{Laprise:1997:NMA, editor = "Ren{\'e} Laprise and Andr{\'e} J. Robert and Harold Ritchie and Charles Augustin Lin", booktitle = "Numerical methods in atmospheric and oceanic modelling: the {Andr{\'e} J. Robert} memorial volume", title = "Numerical methods in atmospheric and oceanic modelling: the {Andr{\'e} J. Robert} memorial volume", publisher = "Canadian Meteorological and Oceanographic Society = Soci{\'e}t{\'e} canadienne de m{\'e}t{\'e}orologie et d'oc{\'e}anographie", address = "Ottawa, ON, Canada", pages = "xix + 581 + 52", year = "1997", ISBN = "0-9698414-4-2", ISBN-13 = "978-0-9698414-4-9", LCCN = "QC996.N78 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "A collection of papers based on presentations at the Andr{\'e} J. Robert Memorial Symposium on Numerical Methods in Atmospheric and Oceanic Sciences, held at Universit{\'e} du Qu{\'e}bec {\`a} Montr{\'e}al Oct. 5--7, 1994. Includes foreword, summaries and supplement in French. ``Primary publications of Andr{\'e} J. Robert''", acknowledgement = ack-nhfb, keywords = "meteorology --- mathematical models --- congresses; numerical weather forecasting --- congresses; oceanography --- mathematical models --- congresses; Robert, Andr{\'e} J., d. 1993 --- congresses", } @Proceedings{Roca:1997:SAH, editor = "P. Roca", booktitle = "Structural analysis of historical constructions: possibilities of numerical and experimental techniques", title = "Structural analysis of historical constructions: possibilities of numerical and experimental techniques", publisher = "CIMNE", address = "Barcelona, Spain", pages = "407", year = "1997", ISBN = "84-87867-66-9", ISBN-13 = "978-84-87867-66-8", LCCN = "TA646 S769 1997", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Papers presented at the International Seminar on Structural Analysis of Historical Constructions, held November 8--10, 1995 in Barcelona.", series = "Theory and engineering applications of computational methods", acknowledgement = ack-nhfb, keywords = "historic buildings --- conservation and restoration --- congresses; structural analysis (engineering) --- congresses", } @Proceedings{Vulkov:1997:NAA, editor = "Lubin Vulkov and Jerzy Wasniewski and Plamen Yalamov", booktitle = "Numerical analysis and its applications: first international workshop, {WNAA} '96, Rousse, Bulgaria, June 24--26, 1996: proceedings", title = "Numerical analysis and its applications: first international workshop, {WNAA} '96, Rousse, Bulgaria, June 24--26, 1996: proceedings", number = "1196", publisher = pub-SV, address = pub-SV:adr, pages = "xiii + 608", year = "1997", ISBN = "3-540-62598-4 (softcover)", ISBN-13 = "978-3-540-62598-8 (softcover)", LCCN = "QA297 .W584 1996", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lecture notes in computer science", acknowledgement = ack-nhfb, keywords = "numerical analysis --- congresses", } @Proceedings{Baines:1998:NMF, editor = "M. J. Baines", booktitle = "Numerical methods for fluid dynamics {VI}", title = "Numerical methods for fluid dynamics {VI}", publisher = "ICFD", address = "Oxford", pages = "xx + 561", year = "1998", ISBN = "0-9524929-1-1 (paperback)", ISBN-13 = "978-0-9524929-1-7 (paperback)", LCCN = "TA357.N8729 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Proceedings of a conference held at St Catherine's College and the St Cross Building, March/April 1998.", acknowledgement = ack-nhfb, keywords = "fluid dynamics --- mathematics --- congresses; numerical calculations --- congresses; turbulence --- mathematical models --- congresses; wave equation --- numerical solutions; weather forecasting --- mathematical models --- congresses", } @Proceedings{Marti:1998:SPM, editor = "Kurt Marti and Peter Kall", booktitle = "Stochastic programming methods and technical applications: proceedings of the 3rd {GAMM\slash IFIP-Workshop} on ``Stochastic Optimization: Numerical Methods and Technical Applications'', held at the Federal Armed Forces University Munich, Neubiberg\slash {M}{\"u}nchen, Germany, June 17--20, 1996", title = "Stochastic programming methods and technical applications: proceedings of the 3rd {GAMM\slash IFIP-Workshop} on ``Stochastic Optimization: Numerical Methods and Technical Applications'', held at the Federal Armed Forces University Munich, Neubiberg\slash {M}{\"u}nchen, Germany, June 17--20, 1996", volume = "458", publisher = pub-SV, address = pub-SV:adr, pages = "x + 437", year = "1998", ISBN = "3-540-63924-1", ISBN-13 = "978-3-540-63924-4", ISSN = "0075-8442", LCCN = "T57.79 .G36 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", series = "Lecture notes in economics and mathematical systems", acknowledgement = ack-nhfb, keywords = "mathematical optimization --- congresses; stochastic processes --- congresses; stochastic programming --- congresses", } @Proceedings{Toro:1998:NMW, editor = "E. F. Toro and J. F. Clarke", booktitle = "Numerical methods for wave propagation: selected contributions from the workshop held in {Manchester, UK}, containing the {Harten} memorial lecture", title = "Numerical methods for wave propagation: selected contributions from the workshop held in {Manchester, UK}, containing the {Harten} memorial lecture", volume = "47", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "ix + 385", year = "1998", ISBN = "0-7923-5125-8", ISBN-13 = "978-0-7923-5125-2", LCCN = "QA927 .N86 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Contributions from the International Workshop on Numerical Methods for Wave Propagation Phenomena, held in May 1995.", series = "Fluid mechanics and its applications", acknowledgement = ack-nhfb, keywords = "wave-motion, theory of --- congresses", } @Proceedings{Whittington:1998:NMP, editor = "Stuart G. Whittington", booktitle = "Numerical methods for polymeric systems", title = "Numerical methods for polymeric systems", volume = "102", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 215", year = "1998", ISBN = "0-387-98557-3", ISBN-13 = "978-0-387-98557-2", LCCN = "QD381.9.M3 W48 1998 Bar", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Based on the proceedings of a workshop held in May 1996 at the IMA.", series = "The IMA volumes in mathematics and its applications", acknowledgement = ack-nhfb, keywords = "molecular dynamics --- statistical methods --- congresses; monte carlo method --- congresses; polymers --- mathematical models --- congresses", } @Proceedings{Chen:1999:BTN, editor = "Changxin Chen and Shui-Nee Chow and Kaitai Li", booktitle = "Bifurcation theory and its numerical analysis", title = "Bifurcation theory and its numerical analysis", publisher = pub-SV, address = pub-SV:adr, pages = "viii + 227", year = "1999", ISBN = "981-4021-58-X", ISBN-13 = "978-981-4021-58-6", LCCN = "QA380 .I58 1998", bibdate = "Wed Nov 3 09:30:14 MST 1999", bibsource = "https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Eighteen selected papers from the 2nd International Conference, Xi'an, China, June 29--July 3, 1998.", acknowledgement = ack-nhfb, keywords = "bifurcation theory --- congresses; numerical analysis --- congresses", }