%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.07", %%% date = "25 October 2005", %%% time = "07:56:06 MDT", %%% filename = "mathcomp1980.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "56878 29496 121118 1135500", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "BibTeX, bibliography, Mathematics of %%% Computation, Mathematical Tables and Aids %%% to Computation, Mathematical Tables and %%% Other Aids to Computation", %%% supported = "yes", %%% docstring = "This is a COMPLETE bibliography of %%% publications for the decade 1980--1989 in %%% the American Mathematical Society journals %%% Mathematics of Computation (ISSN 0025-5718 %%% (paper), ISSN 1088-6842 (electronic), CODEN %%% MCMPAF), which began publishing in January %%% 1960, as the successor to Mathematical %%% Tables and Other Aids to Computation (ISSN %%% 0891-6837, CODEN MTTCAS) (October 1943 -- %%% December 1959), which in turn succeeded %%% Mathematical Tables and Aids to Computation %%% (January 1943 -- July 1943). %%% %%% At version 2.00, the large number of %%% publications in these journals required the %%% splitting of the original file, %%% mathcomp.bib, into decade-specific files, %%% mathcomp19xy.bib, and the withdrawal of the %%% mathcomp.* files. %%% %%% The journal has a World-Wide Web site at %%% %%% http://www.ams.org/mcom/ %%% %%% It provides tables of contents data for %%% 1996--date. %%% %%% There is also complete coverage of all %%% journal issues with full text available to %%% members of subscribing institutions in the %%% JSTOR archive at %%% %%% http://www.jstor.org/journals/08916837.html %%% %%% At version 2.06, the year coverage looked %%% like this: %%% %%% 1980 ( 109) 1985 ( 104) 1990 ( 1) %%% 1981 ( 110) 1986 ( 127) 1991 ( 0) %%% 1982 ( 117) 1987 ( 113) 1992 ( 0) %%% 1983 ( 112) 1988 ( 105) 1993 ( 0) %%% 1984 ( 101) 1989 ( 98) 1994 ( 1) %%% %%% Article: 1096 %%% Book: 1 %%% Proceedings: 1 %%% %%% Total entries: 1098 %%% %%% This journal is unusual in that issue %%% numbers increase uniformly, without a fixed %%% number of issues per volume. Early volumes %%% did not assign months, but by the 1960s, %%% each issue included a month, although the %%% publication month appears to be irregular. %%% Regrettably, the MathSciNet database, which %%% supplied the data for many of the entries %%% below, does not record month data. %%% %%% The final pages of each issue are devoted %%% to reviews, and brief (sometimes only a few %%% lines) communications about errata in %%% published mathematical tables. In some, %%% the author is identified, but in others, %%% only author initials are supplied. %%% Bibliographic data for this end matter %%% appears to be somewhat unreliably recorded %%% in journal databases, even in the %%% publisher's own MathSciNet database. %%% %%% Data for the bibliography has been %%% collected from the OCLC Contents1st %%% database, from the bibliographies in the %%% TeX User Group collection, from %%% bibliographies in the author's personal %%% files, from the IEEE INSPEC CD ROM %%% databases (1989--Sep 1996), and from the %%% computer science bibliography collection on %%% ftp.ira.uka.de in /pub/bibliography to %%% which many people of have contributed. The %%% snapshot of this collection was taken on %%% 5-May-1994, and it consists of 441 BibTeX %%% files, 2,672,675 lines, 205,289 entries, %%% and 6,375 String{} abbreviations, %%% occupying 94.8MB of disk space. %%% %%% For version 2.00, data from the JSTOR %%% database was merged in. This database %%% provides complete page images of the entire %%% journal, and allows full-text searching into %%% OCR text derived from the page images. %%% %%% Mathematical markup, which is required %%% extensively in this journal, was evidently %%% added by hand. The result is that there are %%% frequent discrepancies between the MathSciNet %%% and JSTOR titles; when these did not appear %%% to be typographically similar, the original %%% journal pages were consulted, and generally %%% given preference. Also, JSTOR markup is %%% generally in LaTeX2e form, while the %%% MathSciNet markup is in plain TeX form, and %%% often includes typographically niceties like %%% thin spaces, which the JSTOR markup omits. %%% %%% The JSTOR author and title data is often %%% missing accents; sometimes these accents %%% appeared in the original journal text, and %%% sometimes not. MathSciNet has the practice %%% of supplying accents, particularly in %%% personal names, even when they are missing %%% from the original publication. Since the %%% loss of accents in the latter sometimes %%% reflected technological limitations in the %%% journal typesetting, and since the accents %%% are essential in the languages from which %%% those personal names came, I have followed %%% the MathSciNet convention, and provided %%% accents were possible. Nevertheless, since %%% it is not feasible for me to check every %%% journal title page, and MathSciNet covers %%% only about half the publications in this %%% journal, some accents surely still remain %%% missing. %%% %%% Although the JSTOR author and title data may %%% have been derived from the OCR text of the %%% journal pages, the need for extensive %%% mathematical markup appears to have %%% introduced many other errors. Whenever a %%% discrepancy between JSTOR and MathSciNet was %%% detected, the original journal title pages %%% were consulted. %%% %%% Finally, MathSciNet has a practice of %%% including additional information, such as %%% journal citation and MRnumber data, in titles %%% that comment on other articles, or for %%% articles that are accompanied by supplements. %%% Since this additional information is helpful, %%% I have retained it, even though it does not %%% appear in the original title. In retrospect, %%% I probably should have introduced a separate %%% MRtitle key/value pair to distinguish between %%% them, but the effort to merge in the JSTOR %%% data has exhausted me. %%% %%% Numerous errors in the sources noted above %%% have been corrected. Spelling has been %%% verified with the UNIX spell and GNU ispell %%% programs using the exception dictionary %%% stored in the companion file with extension %%% .sok. %%% %%% BibTeX citation tags are uniformly chosen %%% as name:year:abbrev, where name is the %%% family name of the first author or editor, %%% year is a 4-digit number, and abbrev is a %%% 3-letter condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted in %%% publication order, using ``bibsort -byvolume''. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== %% \ocirc is a ring-on-top accent @Preamble{"\input bibnames.sty" # "\ifx \ocirc \undefined \def \ocirc #1{{\accent'27#1}}\fi" # "\ifx \mathbb \undefined \def \mathbb #1{{\bf #1}}\fi" # "\hyphenation{ Ber-co-vier Rich-ard Tzan-a-kis }" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-jr = "Jon Rokne, Department of Computer Science, The University of Calgary, 2500 University Drive N.W., Calgary, Alberta T2N 1N4, Canada"} @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} @String{ack-nj = "Norbert Juffa, 2445 Mission College Blvd. Santa Clara, CA 95054 USA email: \path=norbert@iit.com="} %%% ==================================================================== %%% Journal abbreviations: @String{j-MATH-COMPUT = "Mathematics of Computation"} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-AMS = "American Mathematical Society"} @String{pub-AMS:adr = "Providence, RI, USA"} %%% ==================================================================== %%% Bibliography entries. This journal has appeared quarterly since %%% volume 1 in 1943 up to 1980, so missing month information has been %%% supplied according to the following table: %%% %%% Number Month %%% 4n+1 jan %%% 4n+2 apr %%% 4n+3 jul %%% 4n oct %%% %%% From 1980 to 1994, there were two volumes each year. @Article{Crandall:1980:MDA, author = "Michael G. Crandall and Andrew Majda", title = "Monotone difference approximations for scalar conservation laws", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "1--21", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M05", MRnumber = "81b:65079", MRreviewer = "Christopher Caldwell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Winther:1980:CFE, author = "Ragnar Winther", title = "A conservative finite element method for the {Korteweg-de Vries} equation", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "23--43", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (35Q20)", MRnumber = "81a:65108", MRreviewer = "Stephen W. Brady", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Ostfold Distriktshogskole, Halden, Norway", keywords = "difference schemes; differential equations; finite element analysis; finite element method; Korteweg de Vries equation; partial; partial differential equations; space variable; stable fully discrete methods; twelve point finite; unconditionally", treatment = "T Theoretical or Mathematical", } @Article{Engquist:1980:SES, author = "Bj{\"o}rn Engquist and Stanley Osher", title = "Stable and entropy satisfying approximations for transonic flow calculations", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "45--75", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (65M05 76H05)", MRnumber = "81b:65082", MRreviewer = "Joseph Oliger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Parallel/Multi.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{Schatz:1980:WDM, author = "Alfred H. Schatz", title = "A weak discrete maximum principle and stability of the finite element method in ${L}_{\infty }$ on plane polygonal domains. {I}", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "77--91", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "81e:65063", MRreviewer = "B. I. Kvasov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", keywords = "boundedness; continuous piecewise polynomials; convergence of numerical methods; discrete harmonic; finite element; finite element analysis; functions; method; partial differential equations; plane polygonal domains; polynomials; quasi uniform mesh; stability; weak discrete maximum principle", treatment = "T Theoretical or Mathematical", } @Article{Thomee:1980:NNE, author = "Vidar Thom{\'e}e", title = "Negative norm estimates and superconvergence in {Galerkin} methods for parabolic problems", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "93--113", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N15 (65N30)", MRnumber = "81a:65092", MRreviewer = "N. Gass", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Winther:1980:IVM, author = "Ragnar Winther", title = "Initial Value Methods for Parabolic Control Problems", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "115--125", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65K10 (49D05 65Mxx)", MRnumber = "80k:65060", MRreviewer = "William W. Hager", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1330 (Optimal control); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA", keywords = "boundary value control; boundary-value problems; differential equations; iterative methods; Neumann; optimal control; parabolic control problems; partial; strictly convex functional", treatment = "T Theoretical or Mathematical", } @Article{Parter:1980:RSC, author = "Seymour V. Parter", title = "On the roles of {``stability''} and {``convergence''} in semidiscrete projection methods for initial-value problems", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "127--154", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N35 (34G99)", MRnumber = "81a:65110", MRreviewer = "P. C. Jain", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Werschulz:1980:CCO, author = "Arthur G. Werschulz", title = "Computational complexity of one-step methods for systems of differential equations", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "155--174", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05 (34A50 68C25)", MRnumber = "81a:65069", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Carnegie-Mellon Univ., Pittsburgh, PA, USA", keywords = "boundary value; boundary-value problems; complexity bounds; computational complexity; differential equations; fast power; initial value problem; one step methods; problems; Runge Kutta methods; series techniques; Taylor series method", treatment = "T Theoretical or Mathematical", } @Article{Troesch:1980:SMA, author = "B. A. Troesch", title = "The Shooting Method Applied to a Cyclic Inequality", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "175--184", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10E20", MRnumber = "81b:10022", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Miel:1980:MSE, author = "George J. Miel", title = "Majorizing sequences and error bounds for iterative methods", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "185--202", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65J05 (47H10)", MRnumber = "81h:65056", MRreviewer = "L. B. Rall", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math. Sci., Univ. of Nevada, Las Vegas, NV, USA", keywords = "Banach space; convergence theory; error analysis; error bounds; infinite series; iterative methods; Kantorovich theorem; Newton iterates; Rheinboldt; sequences; stronger hypotheses", treatment = "T Theoretical or Mathematical", } @Article{Evans:1980:LSE, author = "John W. Evans and William B. Gragg and Randall J. LeVeque", title = "On least squares exponential sum approximation with positive coefficients", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "203--211", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D15 (41A35)", MRnumber = "81b:65015", MRreviewer = "Dietrich Braess", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lyness:1980:QEF, author = "J. N. Lyness and G. Monegato", title = "Quadrature error functional expansions for the simplex when the integrand function has singularities at vertices", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "213--225", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D32 (41A55 41A60)", MRnumber = "80m:65017", MRreviewer = "Thomas A. Atchison", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Dickinson:1980:SLE, author = "Bradley W. Dickinson", title = "Solution of linear equations with rational {Toeplitz} matrices", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "227--233", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F05", MRnumber = "81h:65025", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Marsaglia:1980:GRV, author = "George Marsaglia", title = "Generating Random Variables With a $t$-Distribution", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "235--236", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65C10", MRnumber = "81a:65015", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Distributed/QLD.bib; Distributed/QLD/1980.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{Schonfelder:1980:VHA, author = "J. L. Schonfelder", title = "Very high accuracy {Chebyshev} expansions for the basic trigonometric functions", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "237--244", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20", MRnumber = "81f:65016", MRreviewer = "Claude Carasso", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Plesken:1980:MFIa, author = "Wilhelm Plesken and Michael Pohst", title = "On Maximal Finite Irreducible Subgroups of ${GL}(n, \mathbf{Z})$: {III}. The Nine Dimensional Case", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "245--258", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20C10", MRnumber = "81b:20012a", MRreviewer = "Wolfgang Knapp", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Plesken:1980:MFIb, author = "Wilhelm Plesken and Michael Pohst", title = "On Maximal Finite Irreducible Subgroups of ${GL}(n, \mathbf{Z})$: {IV}. Remarks on Even Dimensions with Applications to $n = 8$", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "259--275", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20C10", MRnumber = "81b:20012b", MRreviewer = "Wolfgang Knapp", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Plesken:1980:MFIc, author = "Wilhelm Plesken and Michael Pohst", title = "On Maximal Finite Irreducible Subgroups of ${GL}(n, \mathbf{Z})$: {V}. The Eight Dimensional Case and a Complete Description of Dimensions Less Than Ten", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "277--301", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "loose microfiche suppl. 20C10", MRnumber = "81b:20012c", MRreviewer = "Wolfgang Knapp", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Templer:1980:P, author = "Mark Templer", title = "On the Primality of $k! + 1$ and $2 \ast 3 \ast 5 \ast \cdots \ast p + 1$", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "303--304", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "80j:10010", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Brent:1980:SNA, author = "Richard P. Brent and Edwin M. McMillan", title = "Some new algorithms for high-precision computation of {Euler}'s constant", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "305--312", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10-04 (10A40 68C05)", MRnumber = "82g:10002", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Univ. of California, Berkeley, CA, USA", keywords = "Bessel functions; computation; Euler's constant; function evaluation; high precision", treatment = "N New Development; T Theoretical or Mathematical", } @Article{MacLean:1980:RCP, author = "D. W. MacLean", title = "Residue Classes of the Partition Function", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "313--317", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10-04 (10A45)", MRnumber = "81a:10002", MRreviewer = "T{\o}rleiv Klove", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Guy:1980:CWD, author = "Richard K. Guy and J. L. Selfridge", title = "Corrigendum to: {``What drives an aliquot sequence?''} {[Math. Comp. {\bf 29} (1975), 101--107, MR {\bf 52} \#5542]}", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "319--321", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A20 (10L10)", MRnumber = "81f:10008", MRreviewer = "Stefan A. Burr", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Salzer:1980:MCF, author = "Herbert E. Salzer", title = "Misstatements in {Milne-Thomson, Calculus of Finite Differences, Macmillan, London, 1933}", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "323--324", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65Q05 (39A05)", MRnumber = "81e:65067", MRreviewer = "Peter Lancaster", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, xxnote = "MathSciNet has ``Misstatements in: {{\em The calculus of finite differences} [Macmillan, London, 1933] by L. M. Milne-Thomson. Zbl 8}'', but the above is what appears in the original journal.", } @Article{JW:1980:C, author = "J. W.", title = "Corrigendum", journal = j-MATH-COMPUT, volume = "34", number = "149", pages = "332--332", month = jan, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", note = "Original journal has only `J. W.' as author.", acknowledgement = ack-nhfb, } @Article{Lynch:1980:HOD, author = "Robert E. Lynch and John R. Rice", title = "A high-order difference method for differential equations", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "333--372", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10", MRnumber = "82b:65070", MRreviewer = "Robert D. Russell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Fatunla:1980:NIS, author = "Simeon Ola Fatunla", title = "Numerical integrators for stiff and highly oscillatory differential equations", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "373--390", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "81k:65080", MRreviewer = "Karl-Heinz Bachmann", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. of Benin, Benin City, Nigeria", keywords = "differential equations; highly oscillatory differential equations; integration; Lipschitz constants; numerical", treatment = "T Theoretical or Mathematical", } @Article{Karlsen:1980:CSS, author = "Lasse K. Karlsen", title = "Computation of steady shocks by second-order finite-difference schemes", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "391--400", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (76L05)", MRnumber = "81j:65102", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Baker:1980:CGA, author = "Garth A. Baker and Vassilios A. Dougalis", title = "On the ${L}^{\infty }$-convergence of {Galerkin} approximations for second-order hyperbolic equations", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "401--424", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M15 (65N30)", MRnumber = "81f:65066", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Hackbusch:1980:CMG, author = "Wolfgang Hackbusch", title = "Convergence of multi-grid iterations applied to difference equations", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "425--440", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N20 (65F10)", MRnumber = "83b:65112", MRreviewer = "Robert Beauwens", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/mgnet.bib; Parallel/Multi.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Univ. zu Koln, Koln, West Germany", keywords = "boundary value problems; convergence; convergence of numerical methods; difference equations; finite element equations; Gauss Seidel iteration; iterations; iterative methods; Lipschitzian regions; multi grid", treatment = "T Theoretical or Mathematical", } @Article{Dupont:1980:PAF, author = "Todd Dupont and Ridgway Scott", title = "Polynomial approximation of functions in {Sobolev} spaces", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "441--463", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D15 (41A10)", MRnumber = "81h:65014", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); B0290F (Interpolation and function approximation); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA", keywords = "averaged Taylor series; function approximation; polynomial; polynomials; Sobolev spaces; topology", treatment = "T Theoretical or Mathematical", } @Article{Paige:1980:EAS, author = "C. C. Paige", title = "Error Analysis of Some Techniques for Updating Orthogonal Decompositions", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "465--471", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F30", MRnumber = "81h:65040", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, kwds = "math, nla, qrd, updating, rounding error", } @Article{Manteuffel:1980:IFT, author = "T. A. Manteuffel", title = "An Incomplete Factorization Technique for Positive Definite Linear Systems", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "473--497", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F10 (15A06)", MRnumber = "82c:65019", MRreviewer = "R. E. Funderlic", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, kwds = "nla, preconditioning, incomplete factorization", } @Article{Shanno:1980:VMM, author = "D. F. Shanno", title = "On variable-metric methods for sparse {Hessians}", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "499--514", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65K10 (15A57 90C30)", MRnumber = "81j:65077", MRreviewer = "M. T. Heath", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Stokes:1980:SQD, author = "A. N. {Stokes}", title = "A Stable Quotient-Difference Algorithm", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "515--519", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D15 (41A21)", MRnumber = "81i:65019", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Marti:1980:CAC, author = "J. T. Marti", title = "On the convergence of an algorithm computing minimum-norm solutions of ill-posed problems", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "521--527", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65J10 (47A50)", MRnumber = "83g:65058", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Eidgenossische Tech. Hochschule, Zurich, Switzerland", keywords = "bound; convergence; convergence of numerical methods; error; finite element algorithm; finite element analysis; Hilbert space; ill posed; minimum norm solutions; problems; second derivative", treatment = "T Theoretical or Mathematical", } @Article{Shrager:1980:NCF, author = "Richard I. Shrager and Edward {Hill, Jr.}", title = "Nonlinear curve-fitting in the ${L}_{1}$ and ${L}_{\infty }$ norms", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "529--541", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A45 (41A50 65D10)", MRnumber = "83g:41027", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lab. of Appl. Studies, Nat. Insts. of Health, Bethesda, MD, USA", keywords = "curve fitting; Levenberg Marquardt method; linear programming; nonlinear curve fitting; search parameter; trial parameters", treatment = "T Theoretical or Mathematical", } @Article{Minoli:1980:IFG, author = "Daniel Minoli", title = "Inductive Formulae for General Sum Operations", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "543--545", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65B15 (10J06 40-04)", MRnumber = "81g:65002", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Char:1980:SCF, author = "Bruce W. Char", title = "On {Stieltjes}' continued fraction for the gamma function", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "547--551", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05 (65D20)", MRnumber = "81b:65008", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Fransen:1980:HPV, author = "Arne Frans{\'e}n and Staffan Wrigge", title = "High-precision values of the gamma function and of some related coefficients", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "553--566", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05 (65D20)", MRnumber = "81f:65004", MRreviewer = "F. W. J. Olver", bibdate = "Sat Apr 01 10:12:58 2000", bibsource = "JSTOR database", note = "See addendum and corrigendum \cite{Fransen:1981:ACH}.", acknowledgement = ack-nhfb, } @Article{Williams:1980:CRP, author = "H. C. Williams and G. Cormack and E. Seah", title = "Calculation of the Regulator of a Pure Cubic Field", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "567--611", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A45 (12A30 12A50)", MRnumber = "81d:12003", MRreviewer = "J. C. Lagarias", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{James:1980:GOO, author = "Rodney James", title = "The Groups of Order $p^6$ ($p$ an Odd Prime)", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "613--637", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20D15", MRnumber = "81a:20024", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Minoli:1980:INH, author = "Daniel Minoli", title = "Issues in Nonlinear Hyperperfect Numbers", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "639--645", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A20", MRnumber = "82c:10005", MRreviewer = "Masao Kishore", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Wagstaff:1980:DCS, author = "Samuel S. {Wagstaff, Jr.}", title = "$p$-divisibility of certain sets of {Bernoulli} numbers", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "647--649", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A40 (12A50)", MRnumber = "81i:10018", MRreviewer = "T. Mets{\"a}nkyl{\"a}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Anonymous:1980:C, author = "Anonymous", title = "Corrigenda", journal = j-MATH-COMPUT, volume = "34", number = "150", pages = "652--652", month = apr, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Bramble:1980:EHO, author = "James H. Bramble and Peter H. Sammon", title = "Efficient Higher Order Single Step Methods for Parabolic Problems: Part {I}", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "655--677", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65M15)", MRnumber = "81h:65110", MRreviewer = "G. W. Hedstrom", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", keywords = "approximation; boundary-value problems; differential equations; Galerkin type; high order methods; initial boundary value problem; iterative methods; parabolic problems; partial; preconditioned iterative technique; single step methods; spatial variables", treatment = "T Theoretical or Mathematical", } @Article{deBoor:1980:CAE, author = "Carl {de Boor} and Blair Swartz", title = "Collocation approximation to eigenvalues of an ordinary differential equation: the principle of the thing", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "679--694", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L15", MRnumber = "81k:65097", MRreviewer = "Steven M. Serbin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/nld.bib", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Math. Res. Center, Madison, WI, USA", keywords = "collocation approximation; compact linear maps; differential equations; eigenvalues; eigenvalues and eigenfunctions; Gauss points; ordinary differential equation; piecewise polynomial functions; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Berger:1980:GOS, author = "Alan E. Berger and Jay M. Solomon and Melvyn Ciment and Stephen H. Leventhal and Bernard C. Weinberg", title = "Generalized {OCI} schemes for boundary layer problems", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "695--731", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10 (65M10)", MRnumber = "81f:65057", MRreviewer = "C. Wayne Mastin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Naval Surface Weapons Center, Silver Spring, MD, USA", keywords = "boundary layer problems; difference equations; discrete maximum; error estimates; fourth order difference schemes; OCI schemes; operation compact implicit schemes; principle; problems; Reynolds number limitation; singular perturbation", treatment = "T Theoretical or Mathematical", } @Article{Swartz:1980:CID, author = "Blair Swartz", title = "Compact, implicit difference schemes for a differential equation's side conditions", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "733--746", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10 (65L05)", MRnumber = "81f:65063", MRreviewer = "P. M. Dew", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Los Alamos Sci. Lab., Univ. of California, Los Alamos, NM, USA", keywords = "approximate; compact; convergence of numerical methods; convergence rates; differential equation's side conditions; differential equations; divided difference data; implicit difference scheme; initial divided differences; interior difference equations; linear ordinary differential equation; polynomial exactness; polynomials; shooting; solution", treatment = "T Theoretical or Mathematical", } @Article{Lundin:1980:CFM, author = "L. R. Lundin", title = "A cardinal function method of solution of the equation ${\Delta} u=u-u^{3}$", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "747--756", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65P05", MRnumber = "81g:65172", MRreviewer = "Eugene Allgower", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Computer and Information Sci., State Univ. Coll., Potsdam, NY, USA", keywords = "approximation; cardinal function method; differential equations; function approximation; functional; Klein Gordon equation; zeros", treatment = "T Theoretical or Mathematical", } @Article{Maher:1980:ETT, author = "David P. Maher", title = "Existence theorems for transforms over finite rings with applications to {2-D} convolution", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "757--765", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10-04 (94B35)", MRnumber = "81f:10002", MRreviewer = "Jack K. Wolf", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Dept. of Math., Worcester Polytech. Inst., Worcester, MA, USA", keywords = "2D convolution; arbitrary finite commutative rings; class rings; finite rings; Fourier like transforms; residue; transforms", treatment = "T Theoretical or Mathematical", } @Article{Cash:1980:NOA, author = "J. R. Cash", title = "A note on {Olver}'s algorithm for the solution of second-order linear difference equations", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "767--772", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65Q05", MRnumber = "81h:65124", MRreviewer = "R. M. M. Mattheij", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", keywords = "difference equations; linear difference equations; Olver's algorithm", treatment = "T Theoretical or Mathematical", } @Article{Nocedal:1980:UQN, author = "Jorge Nocedal", title = "Updating Quasi-{Newton} Matrices with Limited Storage", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "773--782", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65K05 (90C30)", MRnumber = "81g:65077", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/auto.diff.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290H (Linear algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Univ. Nacional Autonoma de Mexico, Mexico City, Mexico", keywords = "BFGS; iterative methods; limited storage; matrix algebra; minimisation; minimization methods; quasi Newtonian matrices; update formula", kwds = "nlop, quasi-Newton method, sparse", referred = "[Navo91a].", treatment = "T Theoretical or Mathematical", } @Article{Makroglou:1980:CBB, author = "Athena Makroglou", title = "Convergence of a block-by-block method for nonlinear {Volterra} integro-differential equations", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "783--796", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20", MRnumber = "81g:65180", MRreviewer = "Sean McKee", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Athens Univ., Athens, Greece", keywords = "block by block method; convergence; convergence of numerical methods; equations; integro-differential; nonlinear Volterra integro differential", treatment = "T Theoretical or Mathematical", } @Article{Meek:1980:MVT, author = "D. Meek", title = "A Mean Value Theorem for Linear Functionals", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "797--802", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A58 (65G99)", MRnumber = "81f:41033", MRreviewer = "David R. Hill", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290D (Functional analysis); C4110 (Error analysis in numerical methods); C4120 (Functional analysis)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", keywords = "discretization formulas; error analysis; errors; function evaluation; linear functionals; mean value theorem; Peano kernel", treatment = "T Theoretical or Mathematical", } @Article{Larkin:1980:RFF, author = "F. M. Larkin", title = "Root-Finding by Fitting Rational Functions", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "803--816", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65H05", MRnumber = "81k:65049", MRreviewer = "Erich Bohl", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computing and Information Sci., Queen's Univ., Kingston, Ont., Canada", keywords = "abscissae; analytic function; asymptotic convergence properties; finding; function approximation; rational functions; root; tabular recursive method", treatment = "T Theoretical or Mathematical", } @Article{Skeel:1980:IRI, author = "Robert D. Skeel", title = "Iterative Refinement Implies Numerical Stability for {Gaussian} Elimination", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "817--832", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F05 (65F35)", MRnumber = "83e:65058", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL, USA", keywords = "algebra; column pivoting; convergence of numerical methods; Gaussian elimination; iterative refinement; matrix; matrix algebra; numerical stability; row pivoting; scaling problems", kwds = "nla, lud, rounding error", treatment = "T Theoretical or Mathematical", } @Article{Sidi:1980:ACT, author = "Avram Sidi", title = "Analysis of convergence of the ${T}$-transformation for power series", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "833--850", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A60 (40A05 40A25 41A25)", MRnumber = "83d:41039", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Computer Sci., Technion-Israel Inst. of Technol., Haifa, Israel", keywords = "convergence; convergence of numerical methods; Levin's; nonlinear sequence transformations; power series; T-transformation; transforms", treatment = "T Theoretical or Mathematical", } @Article{Sidi:1980:NQN, author = "Avram Sidi", title = "Numerical quadrature and nonlinear sequence transformations; unified rules for efficient computation of integrals with algebraic and logarithmic endpoint singularities", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "851--874", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30 (41A55)", MRnumber = "81h:65017", MRreviewer = "S. Dubuc", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Computer Sci. Dept., Technion-Israel Inst. of Technol., Haifa, Israel", keywords = "abscissas; algebraic endpoint singularities; convergence; endpoint singularities; formulas; Gaussian formulas; integrals; integration; interpolatory type; logarithmic; nonlinear sequence transformations; numerical integration; numerical quadrature", treatment = "T Theoretical or Mathematical", } @Article{Bultheel:1980:RAM, author = "Adhemar Bultheel", title = "Recursive algorithms for the matrix {Pad{\'e}} problem", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "875--892", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A21 (65D15)", MRnumber = "81h:41017", MRreviewer = "Hans-J{\"u}rgen Albrand", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Katholieke Univ. Leuven, Heverlee, Belgium", keywords = "interpretation; matrix algebra; matrix Pad{\'e} problem; matrix triangularization; recursive algorithms; Trench Zohar algorithm", treatment = "T Theoretical or Mathematical", } @Article{Horner:1980:RRC, author = "T. S. Horner", title = "Recurrence relations for the coefficients in {Chebyshev} series solutions of ordinary differential equations", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "893--905", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05 (65D20)", MRnumber = "81d:65038", MRreviewer = "L. F. Shampine", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Wollongong, Wollongong, NSW, Australia", keywords = "Chebyshev series solutions; differential equations; linear differential equations; ordinary differential equations; polynomial coefficient; polynomials; recurrence relations", treatment = "T Theoretical or Mathematical", } @Article{Philip:1980:CPC, author = "J. R. Philip", title = "The convergence and partial convergence of alternating series", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "907--916", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "40A05 (65B10)", MRnumber = "81h:40004", MRreviewer = "Tikam Singh", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Div. of Environmental Mech., CSIRO, Canberra, ACT, Australia", keywords = "alternating series; Bernoulli; convergence; convergence of numerical methods; Euler Maclaurin expansion; monotonic function; numbers; partial convergence", treatment = "T Theoretical or Mathematical", } @Article{Allasia:1980:NET, author = "G. Allasia and F. Bonardo", title = "On the Numerical Evaluation of Two Infinite Products", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "917--931", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20 (65A05)", MRnumber = "81f:65013", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Inst. of Numerical Analysis, Univ. of Turin, Turin, Italy", keywords = "function evaluation; infinite products; numerical evaluation; series expansion", treatment = "T Theoretical or Mathematical", } @Article{Isaacs:1980:ELF, author = "Godfrey L. Isaacs", title = "Exponential Laws for Fractional Differences", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "933--936", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "39A05", MRnumber = "82e:39001", MRreviewer = "B. M. Agrawal", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Herbert H. Lehman Coll., City Univ. of New York, New York, NY, USA", keywords = "difference equations; exponent law; fractional differences", treatment = "T Theoretical or Mathematical", } @Article{Tretter:1980:FCC, author = "Marietta J. Tretter and G. W. Walster", title = "Further comments on the computation of modified {Bessel} function ratios", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "937--939", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A40", MRnumber = "81d:33005", MRreviewer = "James M. Horner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", keywords = "function approximation; modified Bessel function ratios", treatment = "T Theoretical or Mathematical", } @Article{Leon:1980:AFB, author = "Jeffrey S. Leon", title = "On an algorithm for finding a base and a strong generating set for a group given by generating permutations", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "941--974", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20-04 (20F05)", MRnumber = "82i:20004", MRreviewer = "Colin M. Campbell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Univ. of Illinois, Chicago, IL, USA", keywords = "base; computational group theory; group; group theory; permutations; strong generating set", treatment = "T Theoretical or Mathematical", } @Article{Gostin:1980:F, author = "Gary B. Gostin", title = "A Factor of ${F}_{17}$", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "975--976", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "81f:10010", MRreviewer = "J. L. Selfridge", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290Z (Other numerical methods); C4190 (Other numerical methods); C7310 (Mathematics computing)", keywords = "175; analysis; CDC Cyber; Compass assembly language; factoring; FORTRAN; machine implementation; mathematical; mathematical analysis; prime factor", treatment = "T Theoretical or Mathematical", } @Article{Howard:1980:SCB, author = "F. T. Howard", title = "A Special Class of {Bell} Polynomials", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "977--989", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A40 (05A15)", MRnumber = "82g:10028", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Wake Forest Univ., Winston-Salem, NC, USA", keywords = "Bell polynomials; Bernoulli number; polynomials; Stirling number", treatment = "T Theoretical or Mathematical", } @Article{Agrawal:1980:ECC, author = "M. K. Agrawal and J. H. Coates and D. C. Hunt and A. J. {van der Poorten}", title = "Elliptic curves of conductor $11$", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "991--1002", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10D12 (10B10 14K07)", MRnumber = "81e:10022", MRreviewer = "M. A. Kenku", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Panjab Univ., Chandigarh, India", keywords = "algebraic numbers; conductor 11; differential equations; Diophantine equation; elliptic curves; inequalities; linear forms; logarithms; sharp; Taniyama Weil conjecture; Thue Mahler equation; topology", treatment = "T Theoretical or Mathematical", } @Article{Pomerance:1980:P, author = "Carl Pomerance and J. L. Selfridge and Samuel S. {Wagstaff, Jr.}", title = "The Pseudoprimes to $25 \cdot 10^9$", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "1003--1026", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A40 (10-04 10A25)", MRnumber = "82g:10030", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Math., Univ. of Illinois, Urbana, IL, USA", keywords = "Carmichael numbers; counting function; Lucas sequences; mathematical analysis; primality; pseudoprimes", treatment = "T Theoretical or Mathematical", } @Article{Hagis:1980:OPE, author = "Peter {Hagis, Jr.}", title = "Outline of a proof that every odd perfect number has at least eight prime factors", journal = j-MATH-COMPUT, volume = "35", number = "151", pages = "1027--1032", month = jul, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A20", MRnumber = "81k:10004", MRreviewer = "Carl Pomerance", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA", keywords = "mathematical analysis; odd perfect number; prime factors", treatment = "T Theoretical or Mathematical", } @Article{Babuska:1980:AMM, author = "I. Babu{\v{s}}ka and J. Osborn and J. Pitk{\"a}ranta", title = "Analysis of Mixed Methods Using Mesh Dependent Norms", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1039--1062", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65N15 73K10)", MRnumber = "81m:65166", MRreviewer = "Rolf Rannacher", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Univ. of Maryland, College Park, MD, USA", keywords = "biharmonic problem; bounded bilinear; computational complexity; finite dimensional space; form; function approximation; Hilbert space; mesh dependent norm; methods; numerical; point problem; Ritz Galerkin approximation; saddle", treatment = "A Application; T Theoretical or Mathematical", } @Article{Johnson:1980:CBI, author = "Claes Johnson and J.-Claude N{\'e}d{\'e}lec", title = "On the coupling of boundary integral and finite element methods", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1063--1079", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "82c:65072", MRreviewer = "Reinhard Scholz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Chalmers Technol. Inst., Goteborg, Sweden", keywords = "asymptotic behaviour; boundary integral; bounded; bounded regular domain; coupling; differential operator; Dirichlet; error analysis; error estimate; finite element analysis; integral equations; problem; subdomain", treatment = "A Application; T Theoretical or Mathematical", } @Article{Pasciak:1980:SPS, author = "Joseph E. Pasciak", title = "Spectral and Pseudo Spectral Methods for Advection Equations", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1081--1092", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (65M15)", MRnumber = "81i:65073", MRreviewer = "E. H. Twizell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Appl. Math. Dept., Brookhaven Nat. Lab., Upton, NY, USA", keywords = "advection equation; collocation projection; error analysis; finite dimensional subspace; finite element analysis; Galerkin projection; numerical methods; partial differential equations; polynomial; pseudo spectral method; spectral method; trigonometric", treatment = "A Application; T Theoretical or Mathematical", } @Article{Luskin:1980:FEM, author = "Mitchell Luskin", title = "A finite element method for first-order hyperbolic systems", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1093--1112", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65M15 76N15)", MRnumber = "81i:65092", MRreviewer = "E. H. Twizell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C1220 (Simulation, modelling and identification); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Univ. of Michigan, Ann Arbor, MI, USA", keywords = "analysis; computational complexity; equations; error analysis; finite element; first order hyperbolic equation; isothermal; L/sup 2/ norm; modelling; momentum density; numerical methods; partial differential; spaces family; speed", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Pitkaranta:1980:LSC, author = "Juhani Pitk{\"a}ranta", title = "Local Stability Conditions for the {Babu{\v{s}}ka} Method of {Lagrange} Multipliers", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1113--1129", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "81m:65174", MRreviewer = "V. Thom{\'e}e", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo, Finland", keywords = "Babu{\v{s}}ka method; bounded domain; connected domain; convergence of numerical methods; finite element analysis; integral equations; Lagrange multipliers; mesh dependent norm; stability; weight dependent norm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Goldstein:1980:VCE, author = "Charles I. Goldstein", title = "Variational crimes and ${L}^{\infty }$ error estimates in the finite element method", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1131--1157", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65N15)", MRnumber = "81m:65169", MRreviewer = "V. Thom{\'e}e", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Applied Math. Dept., Brookhaven Nat. Lab., Upton, NY, USA", keywords = "analysis; bilinear form; boundary-value problems; bounded domain; cosine; directional; error analysis; finite element; Galerkin method; integration; linear elliptic boundary value problem; patch test; second order boundary; smoothness; triangulation; value problem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cooper:1980:AMN, author = "G. J. Cooper and A. Sayfy", title = "Additive methods for the numerical solution of ordinary differential equations", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1159--1172", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "81k:65079", MRreviewer = "David K. Kahaner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "School of Math. and Phys. Sci., Univ. of Sussex, Brighton, UK", keywords = "convergence of numerical methods; decomposition; differential equations; finite element analysis; initial value problems; linear; matrices triple; ordinary differential equation; s-stage additive method; step length", treatment = "A Application; T Theoretical or Mathematical", } @Article{Alfeld:1980:MST, author = "Peter Alfeld", title = "A method of skipping the transient phase in the solution of separably stiff ordinary initial value problems", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1173--1176", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "81k:65076", MRreviewer = "David K. Kahaner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", keywords = "derivative; differential equations; gradient projection technique; initial value problems; methods; numerical; skipping method; stiff component; stiff ordinary initial value problem; transient phase", treatment = "A Application; T Theoretical or Mathematical", } @Article{Katti:1980:FDS, author = "C. P. Katti", title = "Five-diagonal sixth order methods for two-point boundary value problems involving fourth order differential equations", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1177--1179", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10", MRnumber = "81k:65089", MRreviewer = "David K. Kahaner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Indian Inst. of Technol., New Delhi, India", keywords = "boundary; boundary-value problems; coefficient matrix; condition; difference equations; differential equations; five diagonal system; fourth order differential equation; linear; numerical methods; point boundary value problem; sixth order method; two", treatment = "A Application; T Theoretical or Mathematical", } @Article{Corliss:1980:IOC, author = "George F. Corliss", title = "Integrating {ODE}s in the complex plane---pole vaulting", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1181--1189", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05 (34A20)", MRnumber = "81m:65115", MRreviewer = "Jack Williams", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Math. and Statistics, Marquette Univ., Milwaukee, WI, USA", keywords = "complex plane pole vaulting; derivative; differential equations; integration; method; multistep method; numerical methods; path testing; Taylor series", treatment = "A Application; T Theoretical or Mathematical", } @Article{Neta:1980:DBP, author = "Beny Neta", title = "On determination of best-possible constants in integral inequalities involving derivatives", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1191--1193", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "26D15 (46E30 65J99)", MRnumber = "81m:26014", MRreviewer = "J. Albrycht", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math. and Sci., Northern Illinois Univ., Dekalb, IL, USA", keywords = "approximation theory; best possible constant; bound; derivative; integral equations; integral inequalities; L/sub 2/ norm; locally continuous space; lower bound; upper", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stynes:1980:FCB, author = "Martin Stynes", title = "On faster convergence of the bisection method for all triangles", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1195--1201", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "51N99 (65B99 65N30)", MRnumber = "81j:51023", MRreviewer = "V. Pereyra", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4100 (Numerical analysis)", corpsource = "Waterford Regional Tech. Coll., Waterford, Ireland", keywords = "bisection method; convergence; finite element analysis; lower bound; mesh; midpoint; triangle; upper bound; vertices", treatment = "T Theoretical or Mathematical", } @Article{Ferguson:1980:CJP, author = "Warren E. {Ferguson, Jr.}", title = "The construction of {Jacobi} and periodic {Jacobi} matrices with prescribed spectra", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1203--1220", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F30 (15A18 58F07 65L15)", MRnumber = "82c:65027", MRreviewer = "Ludwig Elsner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI, USA", keywords = "algorithms; Hill equation; inverse eigenvalue; matrix algebra; periodic Jacobi matrice; spectral method; Sturm Liouville equation; tridiagonal matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Meinardus:1980:OPN, author = "G{\"u}nter Meinardus and G. D. Taylor", title = "Optimal Partitioning of {Newton}'s Method for Calculating Roots", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1221--1230", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65H05 (41A30)", MRnumber = "81j:65069", MRreviewer = "Derek W. Arthur", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Fachbereich Math., Univ. of Siegen, Siegen, West Germany", keywords = "cube root; domain interval; function approximation; iterative methods; method; Newton; optimal partitioning; reciprocal square root; square root; subinterval", treatment = "A Application; T Theoretical or Mathematical", } @Article{Serbin:1980:FCC, author = "Steven M. Serbin", title = "On Factoring a Class of Complex Symmetric Matrices Without Pivoting", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1231--1234", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F05", MRnumber = "81i:65025", MRreviewer = "Eugene L. Wachspress", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Tennessee, Knoxville, TN, USA", keywords = "bandwidth; Cholesky; complex Hermitian; complex symmetric matrice; decomposition; diagonal; factorisation; matrix algebra; numerical methods; pivoting; real Hermitian", kwds = "nla, lud, complex matrix, symmetric matrix, pivoting", treatment = "A Application; T Theoretical or Mathematical", } @Article{Anand:1980:NSN, author = "Indu Mati Anand", title = "Numerical Stability of Nested Dissection Orderings", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1235--1249", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F05 (65N20)", MRnumber = "82c:65014", MRreviewer = "Steven M. Serbin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", keywords = "band; Cholesky; convergence of numerical methods; definite matrices; discretisation; factorisation; finite element analysis; matrix algebra; nested dissection ordering; ordering; positive matrices; sparse matrices", treatment = "A Application; T Theoretical or Mathematical", } @Article{Ericsson:1980:STL, author = "Thomas Ericsson and Axel Ruhe", title = "The spectral transformation {L{\'a}nczos} method for the numerical solution of large sparse generalized symmetric eigenvalue problems", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1251--1268", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F15 (15A18 65N30)", MRnumber = "83b:65034", MRreviewer = "Alan L. Andrew", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Parallel/par.lin.alg.bib; Theory/Matrix.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Numerical Analysis, Univ. Umea, Umea, Sweden", keywords = "factorization; finite element analysis; generalized; Lanczos method; large sparse eigenvalue; linear system routine; matrix algebra; spectral transformation; subspace iteration; symmetric eigenvalue", kwds = "nla, geig, Lanczos algorithm, symmetric matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Martins:1980:AOI, author = "M. Madalena Martins", title = "On an accelerated overrelaxation iterative method for linear systems with strictly diagonally dominant matrix", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1269--1273", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F10", MRnumber = "83h:65045", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Coimbra, Coimbra, Portugal", keywords = "accelerated overrelaxation method; eigenvalue; linear algebra; linear systems; lower bound; relaxation theory; strictly diagonally dominant matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Rabinowitz:1980:EDP, author = "Philip Rabinowitz", title = "The exact degree of precision of generalized {Gauss--Kronrod} integration rules", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1275--1283", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30", MRnumber = "81j:65047", MRreviewer = "David K. Kahaner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel", keywords = "Gauss Kronrod integration; Gegenbauer polynomial; integration; Lobatto rule; numerical methods; weight function", treatment = "A Application; T Theoretical or Mathematical", } @Article{King:1980:EOP, author = "Richard F. King", title = "An efficient one-point extrapolation method for linear convergence", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1285--1290", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65B99 (65H05)", MRnumber = "82b:65004", MRreviewer = "Thomas A. Atchison", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Argonne Nat. Lab., Argonne, IL, USA", keywords = "approximation; convergence of numerical methods; error equation; extrapolation; fixed point; function; linear convergence; Newton method; nonlinear function; one; point extrapolation", kwds = "nlop, extrapolation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gatteschi:1980:SOP, author = "Luigi Gatteschi", title = "On Some Orthogonal Polynomial Integrals", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1291--1298", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A65", MRnumber = "81h:33015", MRreviewer = "T. S. Chihara", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "Istituto di Calcoli Numerici, Univ. di Torino, Torino, Italy", keywords = "integral; integration; Laguerre polynomial; logarithmic derivative; modified moment; numerical methods; orthogonal polynomial; polynomial; shifted Jacobi polynomial; weight function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Vigneron:1980:GQI, author = "J. P. Vigneron and Ph. Lambin", title = "{Gaussian} quadrature of integrands involving the error function", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1299--1307", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05 (65D30)", MRnumber = "82b:65002", MRreviewer = "M. M. Chawla", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "Inst. de Phys., Univ. de Liege, Liege, Belgium", keywords = "error function; factors; Gaussian quadrature; grid spacing; integrand; integration; numerical methods; orthogonal polynomial; positive real axis; quadrature; weight; weight function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Boyd:1980:RCH, author = "John P. Boyd", title = "The Rate of Convergence of {Hermite} Function Series", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1309--1316", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "42C10", MRnumber = "81h:42020", MRreviewer = "R. A. Askey", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Atmospheric and Oceanic Sci., Univ. of Michigan, Ann Arbor, MI, USA", keywords = "asymptotic behaviour; convergence of numerical methods; expansion; Hermite function series; infinite subsequence; polynomials; Taylor", treatment = "A Application; T Theoretical or Mathematical", } @Article{Cruz:1980:MPR, author = "Andr{\'e}s Cruz and Javier Sesma", title = "Modulus and phase of the reduced logarithmic derivative of the cylindrical {Bessel} function", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1317--1324", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A40 (65H05)", MRnumber = "82b:33010", MRreviewer = "H. E. Fettis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Fisica Teorica, Univ. de Zaragoza, Zaragoza, Spain", keywords = "complex variable; cylindrical Bessel function; derivative; function approximation; half integer index; logarithmic; modulus; phase; reduced logarithm; saddle points", treatment = "A Application; T Theoretical or Mathematical", } @Article{Fettis:1980:STI, author = "Henry E. Fettis", title = "On Some Trigonometric Integrals", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1325--1329", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A15 (33A10 33A70)", MRnumber = "82c:33003a", MRreviewer = "E. R. Love", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", keywords = "closed form expression; complex; integration; plane; trigonometric integrals", treatment = "T Theoretical or Mathematical", } @Article{Levin:1980:ACI, author = "David Levin", title = "On accelerating the convergence of infinite double series and integrals", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1331--1345", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65B10 (65D15)", MRnumber = "82b:65003", MRreviewer = "Thomas A. Atchison", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Tel-Aviv Univ., Ramat-Aviv, Israel", keywords = "approximant; convergence of numerical methods; infinite double series; integrals; integration; N-dimensional series; Pad{\'e}; polynomials; power series", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wilker:1980:EAS, author = "Peter Wilker", title = "An Efficient Algorithmic Solution of the {Diophantine} Equation $u^2 + 5v^2 = m$", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1347--1352", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10B05 (10-04 10A25)", MRnumber = "81m:10021", MRreviewer = "R. P. Brent", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Univ. Bern, Bern, Switzerland", keywords = "algorithm; Diophantine equation; Euclidean space; linear algebra; prime; recursive sequence; solvability", treatment = "A Application; T Theoretical or Mathematical", } @Article{Willett:1980:AFF, author = "Michael Willett", title = "Arithmetic in a Finite Field", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1353--1359", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12-04 (68C20)", MRnumber = "81k:12003", MRreviewer = "J. C. Lagarias", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Univ. of North Carolina, Greensboro, NC, USA", keywords = "addition; algorithm; digital arithmetic; error correcting code; finite field arithmetic; integer; integer multiplication; linear recursion; polynomial arithmetic", treatment = "T Theoretical or Mathematical", } @Article{Boyd:1980:RPH, author = "David W. Boyd", title = "Reciprocal Polynomials Having Small Measure", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1361--1377", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "30C15 (12-04 26C05 65D20)", MRnumber = "82a:30005", MRreviewer = "M. Marden", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of British Columbia, Vancouver, BC, Canada", keywords = "algorithm; cyclotomic series; Graeffe method; integer coefficients; Kronecker theorem; monic polynomial; polynomials; root; squaring method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brillhart:1980:NIT, author = "John Brillhart", title = "Note on Irreducibility Testing", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1379--1381", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12-04 (10M05 68C20)", MRnumber = "83g:12002", MRreviewer = "Maurice Mignotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Arizona, Tucson, AZ, USA", keywords = "complex plane; factor; integer coefficient; irreducibility; lie; polynomials; prime value; single occurrence; zero modulus", treatment = "T Theoretical or Mathematical", } @Article{Setzer:1980:DAI, author = "Bennett Setzer", title = "The determination of all imaginary, quartic, {Abelian} number fields with class number $1$", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1383--1386", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A30 (12A50)", MRnumber = "81k:12005", MRreviewer = "T. Mets{\"a}nkyl{\"a}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Math. Dept., Univ. of Illinois, Chicago, IL, USA", keywords = "Abelian number field; bicyclic quartic field; conductor; number theory; prime; quartic cyclic field; quartic residue", treatment = "T Theoretical or Mathematical", } @Article{Noll:1980:MP, author = "Curt Noll and Laura Nickel", title = "The $25$th and $26$th {Mersenne} Primes", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1387--1390", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25", MRnumber = "81k:10010", MRreviewer = "V. C. Harris", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "California State Univ., Hayward, CA, USA", keywords = "enumeration; factor; Mersenne prime; number theory", treatment = "T Theoretical or Mathematical", } @Article{Baillie:1980:LP, author = "Robert Baillie and Samuel S. {Wagstaff, Jr.}", title = "{Lucas} Pseudoprimes", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1391--1417", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25", MRnumber = "81j:10005", MRreviewer = "V. C. Harris", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Univ. of Illinois, Urbana, IL, USA", keywords = "Little theorem; Lucas sequence; number theory; pseudoprime", treatment = "T Theoretical or Mathematical", } @Article{Cormack:1980:SVL, author = "G. V. Cormack and H. C. Williams", title = "Some Very Large Primes of the Form $k \cdot 2^m + 1$", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1419--1421", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25", MRnumber = "81i:10011", MRreviewer = "T. M. Apostol", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", keywords = "bisection; factor; Fermat number; multiplication; number theory; recursive; very large prime", treatment = "T Theoretical or Mathematical", } @Article{Williams:1980:ISC, author = "H. C. Williams", title = "Improving the speed of calculating the regulator of certain pure cubic fields", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1423--1434", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A30", MRnumber = "82a:12003", MRreviewer = "D. H. Lehmer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", keywords = "discriminant; divisor; fraction algorithm; function; number theory; prime; pure cubic field; regulator; square free; Voronoi algorithm", treatment = "T Theoretical or Mathematical", } @Article{Brent:1980:FOC, author = "Richard P. Brent", title = "The First Occurrence of Certain Large Prime Gaps", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1435--1436", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10-04 (10A25 65A05)", MRnumber = "81g:10002", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C5230 (Digital arithmetic methods)", corpsource = "Dept. of Computer Sci., Australian Nat. Univ., Canberra, ACT, Australia", keywords = "asymptotic; behaviour; consecutive composite number; integer; number theory; prime", treatment = "T Theoretical or Mathematical", } @Article{Backstrom:1980:TEM, author = "Robert P. Backstrom", title = "Table errata: {``A method of factoring and the factorization of $F_{7}$''} {[Math. Comp. {\bf 29} (1975), 183--205, MR {\bf 51} \#8017] by M. A. Morrison and J. Brillhart}", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1444--1444", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25", MRnumber = "82b:10009", bibdate = "Wed Jan 15 09:14:29 1997", acknowledgement = ack-nhfb, } @Article{CarlsonGallas:1980:TET, author = "Jason A. {Carlson Gallas}", title = "Table errata: {{\em Table of integrals, series Gallas and products} [English translation of the fourth Russian edition, Academic Press, New York, 1965 and MR {\bf 33} \#5952] by I. S. Grad{\v{s}}te{\u{\i}}n and I. M. Ry{\v{z}}ik.}", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1444--1444", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05", MRnumber = "82c:65003", bibdate = "Wed Jan 15 08:37:24 1997", acknowledgement = ack-nhfb, } @Article{Krogh:1980:CRR, author = "Fred T. Krogh", title = "Corrigendum: {``Recurrence relations for computing with modified divided differences''} {[Math. Comp. {\bf 33} (1979), no. 148, 1265--1271, MR 80f:65094]}", journal = j-MATH-COMPUT, volume = "35", number = "152", pages = "1445--1445", month = oct, year = "1980", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65Q05 (65D99)", MRnumber = "82c:65087", bibdate = "Wed Jan 15 08:38:14 1997", acknowledgement = ack-nhfb, } @Article{deBoor:1981:CAE, author = "Carl {de Boor} and Blair Swartz", title = "Collocation approximation to eigenvalues of an ordinary differential equation: numerical illustrations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "1--19", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L15", MRnumber = "82c:65053", MRreviewer = "Steven M. Serbin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Univ. of Wisconsin, Madison, WI, USA", keywords = "approximate; bounds; collocation approximation; differential equations; eigenvalue problems; eigenvalues; eigenvalues and eigenfunctions; error; ordinary differential equation; ordinary differential operators", treatment = "T Theoretical or Mathematical", } @Article{deBoor:1981:LPP, author = "Carl {de Boor} and Blair Swartz", title = "Local piecewise polynomial projection methods for an {O.D.E.} which give high-order convergence at knots", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "21--33", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L15", MRnumber = "82f:65091", MRreviewer = "Steven M. Serbin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Univ. of Wisconsin, Madison, WI, USA", keywords = "boundary value problem; boundary-value problems; collocation; convergence of numerical methods; differential equation; differential equations; eigenvalue problems; ordinary; piecewise polynomials; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Bank:1981:OOP, author = "Randolph E. Bank and Todd Dupont", title = "An optimal order process for solving finite element equations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "35--51", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65F10)", MRnumber = "82b:65113", MRreviewer = "I. Norman Katz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Univ. of Texas, Austin, TX, USA", keywords = "algebraic equations; boundary-value problems; elliptic boundary value; finite element analysis; finite element equations; iterative; linear algebra; methods; optimal order process; problems; procedure", treatment = "T Theoretical or Mathematical", } @Article{Arnold:1981:SFE, author = "Douglas N. Arnold and Jim {Douglas, Jr.} and Vidar Thom{\'e}e", title = "Superconvergence of a finite element approximation to the solution of a {Sobolev} equation in a single space variable", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "53--63", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (35K70)", MRnumber = "82f:65108", MRreviewer = "J. D. Atkinson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Univ. of Maryland, College Park, MD, USA", keywords = "convergence of numerical methods; differential equations; finite element analysis; finite element approximation; Galerkin; method; quasilinear equation; Sobolev equation; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Winther:1981:SFE, author = "Ragnar Winther", title = "A stable finite element method for initial-boundary value problems for first-order hyperbolic systems", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "65--86", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "81m:65181", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Maths., Univ. of Chicago, Chicago, IL, USA", keywords = "differential equations; finite element analysis; finite element method; first-order hyperbolic systems; initial; initial-boundary value problems; value problems", treatment = "T Theoretical or Mathematical", } @Article{Layton:1981:EDD, author = "William J. Layton", title = "Estimates away from a discontinuity for dissipative {Galerkin} methods for hyperbolic equations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "87--92", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65M15)", MRnumber = "82b:65129", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Maths., Univ. of Tennessee, Knoxville, TN, USA", keywords = "discontinuity; dissipative Galerkin methods; hyperbolic equations; initial; initial value problems; partial differential equations; value problem", treatment = "T Theoretical or Mathematical", } @Article{LeRoux:1981:SNS, author = "A. Y. {Le Roux}", title = "Stability of Numerical Schemes Solving Quasi-Linear Wave Equations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "93--105", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (35L67)", MRnumber = "82b:65088", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Lab. d'Analyse Numerique, Rennes, France", keywords = "boundary; conditions; equations; numerical schemes; partial differential equations; quasi-linear wave; Riemann invariants; Riemann problem; shock curves; stability", treatment = "T Theoretical or Mathematical", } @Article{Gottlieb:1981:SPC, author = "David Gottlieb", title = "The Stability of Pseudospectral-{Chebyshev} Methods", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "107--118", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65N35)", MRnumber = "82b:65123", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA", keywords = "Chebyshev approximation; Chebyshev methods; coefficient hyperbolic equations; collocation points; hyperbolic problems; methods; parabolic problems; pseudospectral-Chebyshev; stability; variable", treatment = "T Theoretical or Mathematical", } @Article{Bardos:1981:VMF, author = "Claude Bardos and Michel Bercovier and Olivier Pironneau", title = "The Vortex Method with Finite Elements", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "119--136", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65M25 76C05)", MRnumber = "82c:65066", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Maths., Univ. of Paris, Paris, France", keywords = "convergence; convergence of numerical methods; differential equations; Euler's equation; finite element analysis; finite element triangulation; finite elements; numerical solution; partial; partial differential equations; vortex method", treatment = "T Theoretical or Mathematical", } @Article{Descloux:1981:ASC, author = "Jean Descloux and Mitchell Luskin and Jacques Rappaz", title = "Approximation of the spectrum of closed operators: the determination of normal modes of a rotating basin", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "137--154", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (47A10 65J10)", MRnumber = "83h:65123", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A0420C (Fundamental problems and general formalism in general relativity); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces); A4775 (Relativistic fluid dynamics); C4170 (Differential equations)", corpsource = "Ecole Polytech. Federale, Lausanne, Switzerland", keywords = "Banach spaces; differential; differential equations; finite element analysis; finite element procedure; general relativity; partial; perturbation theory; relativistic fluid dynamics; rotating basin; rotational flow; spectral approximation; system", treatment = "T Theoretical or Mathematical", } @Article{Munz:1981:UEC, author = "Harry Munz", title = "Uniform expansions for a class of finite difference schemes for elliptic boundary value problems", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "155--170", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N05", MRnumber = "82b:65098", MRreviewer = "L. Fox", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. fur Biologie, Tubingen, West Germany", keywords = "approximate solution; boundary-value problems; Dirichlet problem; elliptic boundary value problems; error bounds; finite difference schemes", treatment = "T Theoretical or Mathematical", } @Article{Iserles:1981:QMS, author = "A. Iserles", title = "Quadrature methods for stiff ordinary differential systems", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "171--182", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "83h:65084", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", corpsource = "Kings Coll., Univ. of Cambridge, Cambridge, UK", keywords = "A-stable; convolution formula; differential equations; first approximations; quadrature methods; stiff ordinary differential systems", treatment = "T Theoretical or Mathematical", } @Article{Avdelas:1981:OAO, author = "G. Avdelas and A. Hadjidimos", title = "Optimum accelerated overrelaxation method in a special case", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "183--187", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F10", MRnumber = "82c:65016", MRreviewer = "L. Hageman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", corpsource = "Dept. of Maths., Univ. of Ioannina, Ioannia, Greece", keywords = "accelerated overrelaxation method; convergence; convergence of numerical methods; linear algebra; linear system; matrix coefficient; nonvanishing diagonal elements; optimum AOR method; rates; relaxation; theory", treatment = "T Theoretical or Mathematical", } @Article{Fornberg:1981:VIF, author = "Bengt Fornberg", title = "A vector implementation of the fast {Fourier} transform algorithm", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "189--191", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", corpsource = "Dept. of Appl. Maths., California Inst. of Technol., Pasadena, CA, USA", keywords = "algorithm; CDC STAR-100; fast Fourier transform; fast Fourier transforms; FFT; tables; trigonometric; vector computer; vector implementation", treatment = "T Theoretical or Mathematical", } @Article{Thomas:1981:GMS, author = "K. S. Thomas", title = "{Galerkin} Methods for Singular Integral Equations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "193--205", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (45F99)", MRnumber = "82c:65092", MRreviewer = "Baruch Cahlon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Univ. of Southampton, Southampton, UK", keywords = "approximate solution; bounds; error; error analysis; Galerkin methods; integral equations; singular integral equations", treatment = "T Theoretical or Mathematical", } @Article{Schneider:1981:PIW, author = "Claus Schneider", title = "Product integration for weakly singular integral equations", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "207--213", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (45L05)", MRnumber = "82c:65090", MRreviewer = "P. M. Anselone", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", corpsource = "Johannes Gutenberg Univ. Mainz, West Germany", keywords = "derivative singularities; integral equations; method; nonuniform mesh; numerical methods; numerical solution; product integration; weakly singular integral equations", treatment = "T Theoretical or Mathematical", } @Article{Hemker:1981:MGM, author = "P. W. Hemker and H. Schippers", title = "Multiple grid methods for the solution of {Fredholm} integral equations of the second kind", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "215--232", month = jan, year = "1981",