%%% -*-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", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (45L10)", MRnumber = "81m:65197", MRreviewer = "Frank G. Hagin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations); C4240 (Programming and algorithm theory)", corpsource = "Stitching Math. Centrum, Amsterdam, Netherlands", keywords = "asymptotic computational; complexity; computational complexity; direct interpolation; Fredholm integral equations; integral equations; iterative; methods; multiple grid methods; numerical methods; rates of convergence", treatment = "T Theoretical or Mathematical", } @Article{Glashoff:1981:NMC, author = "K. Glashoff and K. Roleff", title = "A new method for {Chebyshev} approximation of complex-valued functions", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "233--239", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D15 (30E10 90C30)", MRnumber = "82c:65011", MRreviewer = "Wolfgang Wetterling", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Univ. Hamburg, Hamburg, West Germany", keywords = "Chebyshev approximation; Chebyshev approximation problem; complex-valued functions; linear optimization; optimisation; optimization problems", treatment = "T Theoretical or Mathematical", } @Article{Mahoney:1981:PFE, author = "J. F. Mahoney", title = "Partial fraction evaluation by an escalation technique", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "241--246", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D15", MRnumber = "81k:65019", MRreviewer = "E. Frank", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4120 (Functional analysis)", corpsource = "Univ. of Florida, Gainesville, FL, USA", keywords = "escalation technique; function evaluation; numerical methods; partial fraction expansions; poles and zeros; proper rational function; zeros", treatment = "T Theoretical or Mathematical", } @Article{McCullagh:1981:RCS, author = "Peter McCullagh", title = "A rapidly convergent series for computing $\psi (z)$ and its derivatives", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "247--248", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20 (33A15)", MRnumber = "81m:65028", MRreviewer = "J. Gregor", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4120 (Functional analysis)", corpsource = "Imperial Coll. of Sci. and Technol., London, UK", keywords = "(mathematics); convergence; function evaluation; log gamma function; poles; poles and zeros; rapidly convergent series; series; series expansion; uniformly convergent", treatment = "T Theoretical or Mathematical", } @Article{Shepherd:1981:CA, author = "M. M. Shepherd and J. G. Laframboise", title = "{Chebyshev} Approximation of $(1 + 2x)\exp(x^2)\operatorname{erfc} x$ in $0 \leq x < \infty$", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "249--253", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20", MRnumber = "83c:65029", MRreviewer = "John P. Coleman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "York Univ., Toronto, Ont., Canada", keywords = "(1+2x)exp(x/sup 2/)erfc x; Chebyshev approximation; Chebyshev expansion; erfc x; single", treatment = "T Theoretical or Mathematical", } @Article{Dixon:1981:AFF, author = "John D. Dixon", title = "Asymptotically Fast Factorization of Integers", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "255--260", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A30 (10A25)", MRnumber = "82a:10010", MRreviewer = "H. L. Abbott", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics); C4140 (Linear algebra)", corpsource = "Carleton Univ., Ottawa, Ont., Canada", keywords = "composite integer; factoring integers; fast factorization; integers; linear algebra; number theory; probabilistic algorithm", treatment = "T Theoretical or Mathematical", } @Article{Adleman:1981:PTA, author = "Leonard Adleman and Frank Thomson Leighton", title = "An ${O}(n^{1/10.89})$ Primality Testing Algorithm", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "261--266", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25 (10-04 68C25)", MRnumber = "82c:10009", MRreviewer = "D. H. Lehmer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., MIT, Cambridge, MA, USA", keywords = "complexity theory; computational complexity; deterministic algorithm; number theory; primality; primality testing algorithm", treatment = "T Theoretical or Mathematical", } @Article{Land:1981:CPP, author = "Rudolf Land", title = "Computation of {P{\'o}lya} Polynomials of Primitive Permutation Group", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "267--278", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20B99 (12F10 20-04)", MRnumber = "82c:20010", MRreviewer = "N. G. de Bruijn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Univ. zu Koln, Koln, West Germany", keywords = "number theory; number-; Polya polynomials; polynomials; primitive permutation groups; theoretical interpretation; van der Waerden's test", treatment = "T Theoretical or Mathematical", } @Article{Weintraub:1981:LPG, author = "Sol Weintraub", title = "A Large Prime Gap", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "279--279", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25", MRnumber = "81k:10011", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Queens Coll., City Univ. of New York, Flushing, NY, USA", keywords = "large prime gap; number theory; prime gap", treatment = "T Theoretical or Mathematical", } @Article{Gunji:1981:PFF, author = "Hiroshi Gunji and Dennis Arnon", title = "On Polynomial Factorization Over Finite Fields", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "281--287", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12-04", MRnumber = "82c:12002", MRreviewer = "Maurice Mignotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Wisconsin, Madison, WI, USA", keywords = "endomorphism; finite fields; Frobenius; polynomial factorization; polynomials; streamlined proofs", treatment = "T Theoretical or Mathematical", } @Article{Lehmer:1981:FQB, author = "D. H. Lehmer", title = "On {Fermat}'s Quotient, Base Two", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "289--290", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10-04", MRnumber = "82e:10004", MRreviewer = "M. C. Wunderlich", 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 California, Berkeley, CA, USA", keywords = "congruence; Fermat's quotient; linear algebra; number theory; p=1093; p=3511", treatment = "T Theoretical or Mathematical", } @Article{Shanks:1981:GFF, author = "Daniel Shanks and H. C. Williams", title = "{Gunderson}'s Function in {Fermat's Last Theorem}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "291--295", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10-04 (10B15)", MRnumber = "82g:10004", MRreviewer = "Mohan Nair", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Maryland, College Park, MD, USA", keywords = "criterion; Fermat's last theorem; Gunderson's function; number theory; prime bases; Wieferich", treatment = "T Theoretical or Mathematical", } @Article{teRiele:1981:HNT, author = "Herman J. J. {te Riele}", title = "Hyperperfect Numbers With Three Different Prime Factors", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "297--298", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A20 (10A40)", MRnumber = "82c:10006", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Math. Centre, Amsterdam, Netherlands", keywords = "hyperperfect numbers; number theory; prime factors", treatment = "T Theoretical or Mathematical", } @Article{Hagis:1981:UHN, author = "Peter {Hagis, Jr.}", title = "Unitary Hyperperfect Numbers", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "299--301", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A20 (10-04)", MRnumber = "81m:10008", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA", keywords = "hyperperfect numbers; number theory; unitary; unitary perfect numbers", treatment = "T Theoretical or Mathematical", } @Article{Borho:1981:SLP, author = "W. Borho", title = "Some Large Primes and Amicable Numbers", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "303--304", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A40 (10A25)", MRnumber = "82d:10021", MRreviewer = "Kenneth A. Jukes", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Univ. Gesamthochschule Wuppertal, Wuppertal, West Germany", keywords = "amicable number pairs; amicable numbers; large primes; number theory; Thabit rules", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1981:TEHa, author = "Henry E. Fettis", title = "Table errata: {{\em Higher transcendental functions, Vol. II} [McGraw-Hill, New York, 1953, F. Oberhettinger {MR {\bf 15}, 419}] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "315--315", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05", MRnumber = "82g:65007b, 82g:65007a", bibdate = "Sat Apr 12 15:32:32 1997", acknowledgement = ack-nhfb, } @Article{Temme:1981:TEF, author = "N. M. Temme", title = "Table errata: {{\em Formulas and theorems for the special functions of mathematical physics} [third edition, Springer, New York, 1966 and F. Oberhettinger MR {\bf 38} \#1291] by W. Magnus and R. P. Soni.}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "315--316", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05", MRnumber = "82a:65011a", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Pexton:1981:TEF, author = "Robert L. Pexton", title = "Table errata: {{\em Formulas and theorems for the special functions of mathematical physics} [third edition, Springer, New York, 1966 and F. Oberhettinger MR {\bf 38} \#1291] by W. Magnus and R. P. Soni.}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "316--317", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05", MRnumber = "82a:65011b", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Fettis:1981:TEHb, author = "Henry E. Fettis", title = "Table errata: {{\em Handbook of elliptic integrals for engineers and physicists} [second edition, Springer, New York, 1971 and MR {\bf 43} \#3506] by P. F. Byrd and M. D. Friedman.}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "317--317", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05", MRnumber = "82a:65008a", bibdate = "Sat Apr 12 15:32:35 1997", acknowledgement = ack-nhfb, } @Article{Fettis:1981:TETa, author = "Henry E. Fettis", title = "Table errata: {{\em Table of integrals, series, and products} [English translation of the fourth Russian edition, Academic Press, New York, 1965; MR {\bf 33} \#5952] by I. S. Gradshteyn [I. S. Grad{\v{s}}te{\u{\i}}n] and I. M. Ryzhik [I. M. Ry{\v{z}}ik].}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "317--318, 320", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "320.65A05", MRnumber = "82a:65009", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Fettis:1981:TETb, author = "Henry E. Fettis", title = "Table errata: {{\em A table of the complete elliptic integral of the first kind for complex values of the modulus, Part I} [Rep. No. ARL 69-0172, Aerospace Res. Lab., Wright--Patterson Air Force Base, Ohio, 1969; MR {\bf 40} \#6725] by Fettis and J. C. Caslin}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "318", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "318.65A05", MRnumber = "82a:65010", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Stuart:1981:TEC, author = "S. N. Stuart", title = "Table errata: {{\em A course of modern analysis} [fourth edition, Cambridge Univ. Press, Cambridge 1927 and 180] by E. T. Whittaker Jbuch {\bf 53} and G. N. Watson}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "319--319", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33-01", MRnumber = "82b:33001", bibdate = "Wed Jan 15 08:39:17 1997", acknowledgement = ack-nhfb, } @Article{Salzer:1981:EHN, author = "Herbert E. Salzer", title = "Errata: {{\em A history of numerical analysis from the 16th through the 19th century} [Springer, New York, 1977]. MR {\bf 58} \#4774 by H. H. Goldstine}", journal = j-MATH-COMPUT, volume = "36", number = "153", pages = "319--320", month = jan, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "01A05 (01A50 01A55 65-03)", MRnumber = "82b:01001", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Engquist:1981:OSD, author = "Bj{\"o}rn Engquist and Stanley Osher", title = "One-sided difference approximations for nonlinear conservation laws", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "321--351", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (35L67 65M05)", MRnumber = "82c:65056", MRreviewer = "J. R. Cannon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations); C7320 (Physics and chemistry computing)", keywords = "difference equations; differential equations; digital simulation; discontinuity; entropy; existence; expansion shock; finite difference; hyperbolic; monotone shock; nonlinear conservation law; nonlinear stability; partial; partial differential equation; physics computing; sharp shock; shock waves; space variable; uniqueness", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Harten:1981:FOA, author = "Amiram Harten and Hillel Tal-Ezer", title = "On a fourth order accurate implicit finite difference scheme for hyperbolic conservation laws. {I}. Nonstiff strongly dynamic problems", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "353--373", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M05 (35L65 76L05)", MRnumber = "83b:65088a", MRreviewer = "Vassilios A. Dougalis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA", keywords = "Courant-Friedrichs-Lewy; Crank-Nicholson scheme; difference equations; dimensional system; finite difference scheme; hyperbolic conservation laws; Jacobian; matrix; mesh point; mesh points; one-; partial differential equations; spatial derivative; vector value function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Richter:1981:NIS, author = "Gerard R. Richter", title = "Numerical identification of a spatially varying diffusion coefficient", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "375--386", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M05 (65M10)", MRnumber = "82c:65055", MRreviewer = "J. R. Cannon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations); C7440 (Civil and mechanical engineering computing)", keywords = "civil engineering computing; difference scheme; differential equations; diffusion coefficient; digital simulation; first order hyperbolic; groundwater flow; oil reservoir; partial; relaxation theory; space variable; tangent vector; transmissivity; upwind", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Goldstein:1981:FEM, author = "C. I. Goldstein", title = "The finite element method with nonuniform mesh sizes for unbounded domains", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "387--404", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "82b:65121", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", keywords = "artificial; boundary; elliptic boundary; error estimate; finite element analysis; graded mesh; nonuniform mesh size; partial differential equations; unbounded domains", treatment = "A Application; T Theoretical or Mathematical", } @Article{Djaoua:1981:MCL, author = "M. Djaoua", title = "A method of calculation of lifting flows around two-dimensional corner-shaped bodies", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "405--425", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "76B05 (45L10)", MRnumber = "82c:76011", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A4715C (Laminar boundary layers); B0290R (Integral equations)C4180 (Integral equations); C7320 (Physics and chemistry computing)", keywords = "boundary layers; collocation method; corner-shaped body; digital simulation; Dirichlet boundary; Fredholm equation; integral equations; lifting flows; numerical methods; physics computing; potential; single layer; von Neumann problem", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Mercier:1981:EAM, author = "B. Mercier and J. Osborn and J. Rappaz and P.-A. Raviart", title = "Eigenvalue Approximation by Mixed and Hybrid Methods", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "427--453", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N25 (65N15 65N30)", MRnumber = "82b:65108", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", keywords = "convergence rate; differential equations; eigenvalues and eigenfunctions; finite element analysis; Hilbert space; hybrid finite element method; mixed finite element method; spectral approximation; Stokes eigenvalue", treatment = "A Application; T Theoretical or Mathematical", } @Article{Delfour:1981:DGM, author = "M. Delfour and W. Hager and F. Trochu", title = "Discontinuous {Galerkin} methods for ordinary differential equations", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "455--473", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10 (65N30)", MRnumber = "82b:65066", MRreviewer = "I. Norman Katz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", keywords = "dependent norm; discontinuity; discontinuous polynomial; elliptic equation; Galerkin methods; mesh; numerical methods; ordinary differential equation; partial differential equations; piecewise; polynomial", treatment = "A Application; T Theoretical or Mathematical", } @Article{Rice:1981:PLS, author = "John R. Rice and Elias N. Houstis and Wayne R. Dyksen", title = "A population of linear, second order, elliptic partial differential equations on rectangular domains. Part {I}", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "475--484", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N99 (65M99)", MRnumber = "82c:65083", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", keywords = "boundary; contour plots; domains; elliptic partial differential equations; finite element analysis; linear differential equations; partial differential equations; quadratic interpolation; rectangular; series; series expansion; software; truncated", treatment = "A Application; T Theoretical or Mathematical", } @Article{McCormick:1981:MRM, author = "Stephen F. McCormick", title = "A Mesh Refinement Method for $Ax = \lambda Bx$", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "485--498", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N25 (65F15 65L15 65R99)", MRnumber = "82d:65070", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Parallel/mgnet.bib; Parallel/Multi.grid.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", keywords = "finite element analysis; free factorisation; inverse iteration; matrix algebra; mesh refinement; multigrid technique; multiplicity; partial eigenproblem; symmetric matrix", treatment = "A Application; T Theoretical or Mathematical", } @Article{Shampine:1981:TIO, author = "L. F. Shampine", title = "Type-Insensitive {ODE} Codes Based on Implicit ${A}$-Stable Formulas", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "499--510", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations); C4180 (Integral equations)", keywords = "A-stable formula; Adams Moulton formula; algorithm; differential equations; equations; initial value problems; integration; iteration matrix; Jacobian; numerical methods; ordinary differential; stiffness", treatment = "A Application; T Theoretical or Mathematical", } @Article{Sloan:1981:QMI, author = "Ian H. Sloan", title = "Quadrature methods for integral equations of the second kind over infinite intervals", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "511--523", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (45B05)", MRnumber = "82c:65091", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations)", keywords = "convergence of numerical methods; convergence rate; function; homogeneous equation; infinite intervals; integral equations; Nystrom method; quadrature methods; quadrature weight; scalar valued", treatment = "A Application; T Theoretical or Mathematical", } @Article{Bojanov:1981:UON, author = "Borislav D. Bojanov", title = "Uniqueness of the optimal nodes of quadrature formulae", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "525--546", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30 (41A55)", MRnumber = "82d:65024", MRreviewer = "M. I. Levin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", keywords = "differentiable functions; endpoint; equidistant nodes; finite interval; fixed multiplicities; function approximation; linear functional; numerical methods; quadrature formula; smooth function; uniqueness", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gautschi:1981:MST, author = "Walter Gautschi", title = "Minimal solutions of three-term recurrence relations and orthogonal polynomials", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "547--554", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A65 (65D20 65D30)", MRnumber = "82m:33006", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", keywords = "continued fraction algorithm; distribution; expansion coefficient; Gauss method; Jacobi; mass; moment problem; moment sequence; numerical methods; orthogonal polynomials; polynomials; quadrature formulas; three-term recurrence", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wrigge:1981:CTS, author = "Staffan Wrigge", title = "Calculation of the {Taylor} Series Expansion Coefficients of the {Jacobian} Elliptic Function $\mathrm{sn}(x, k)$", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "555--564", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20 (33A25)", MRnumber = "82d:65023", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations)", keywords = "combinatorial expression; differential equations; expansion coefficient; function; function approximation; integrand; integration; inversion; Jacobian elliptic; Lagrange; Legendre polynomials; recurrence formula; series (mathematics); Taylor series", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hendy:1981:JPA, author = "M. D. Hendy and N. S. Jeans", title = "The {Jacobi--Perron} Algorithm in Integer Form", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "565--574", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A30 (12A45)", MRnumber = "82j:10011", MRreviewer = "Roger Paysant-Le Roux", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", keywords = "algorithm; approximation; approximation theory; Bernstein theorem; continued fraction; decimal; denominator; integer form; Jacobi--Perron algorithm; numerator; quadratic number", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mossige:1981:ACR, author = "Svein Mossige", title = "Algorithms for computing the $h$-range of the postage stamp problem", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "575--582", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10L05 (10-04)", MRnumber = "82e:10095", MRreviewer = "R. G. Stanton", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", keywords = "approximation theory; extremal h-range; positive integer; postage stamp problem; recursive theorem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Kishore:1981:OPQ, author = "Masao Kishore", title = "On odd perfect, quasiperfect, and odd almost perfect numbers", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "583--586", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A20", MRnumber = "82h:10006", MRreviewer = "Neville Robbins", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra)", keywords = "number theory; odd almost perfect number; odd integer; odd perfect number; Pomerance theorem; quasiperfect number; upper bounds", treatment = "T Theoretical or Mathematical", } @Article{Cantor:1981:NAF, author = "David G. Cantor and Hans Zassenhaus", title = "A new algorithm for factoring polynomials over finite fields", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "587--592", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12C05 (12-04)", MRnumber = "82e:12020", MRreviewer = "Maurice Mignotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Comp.Alg.1.bib", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", keywords = "factorisation; folk method; irreducible factor; monic polynomial; numerical methods; polynomials; probabilistic algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Williams:1981:NIL, author = "H. C. Williams", title = "A numerical investigation into the length of the period of the continued fraction expansion of $\sqrt{D}$", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "593--601", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A32 (10-04)", MRnumber = "82f:10011", MRreviewer = "P{\'e}ter Kiss", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", keywords = "continued fraction expansion; Euler product; function approximation; integer; Kronecker symbol; Littlewood theorem; numerical methods; positive; square-free integer", treatment = "A Application; T Theoretical or Mathematical", } @Article{Goldberg:1981:SIS, author = "Moshe Goldberg and Eitan Tadmor", title = "Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. {II}", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "603--626", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10", MRnumber = "83f:65142", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations)", keywords = "Cauchy theorem; difference equations; differential equations; hyperbolic initial-boundary value; initial value; multilevel boundary; outflow; problems; quarter plane; scalar; stability; transpose", treatment = "A Application; T Theoretical or Mathematical", } @Article{Brent:1981:FEF, author = "Richard P. Brent and John M. Pollard", title = "Factorization of the Eighth {Fermat} Number", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "627--630", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25 (10-04 65C05)", MRnumber = "83h:10014", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", keywords = "algorithm; Brent; conjecture; eighth Fermat number; factorization algorithm; Monte Carlo methods; numerical methods; Pollard algorithm; polynomial; polynomials; quadratic; recurrence relation", treatment = "A Application; T Theoretical or Mathematical", } @Article{Williams:1981:SRC, author = "H. C. Williams", title = "Some Results Concerning {Vorono{\u{\i}}}'s Continued Fraction Over $\mathcal{Q}(\sqrt[3]{D})$", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "631--652", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A45", MRnumber = "82j:12011", MRreviewer = "Maurice Mignotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra)", keywords = "class number; continued fraction; coprime; cube-free integer; fixed zero variable; fraction expansion; frequency table; integer; prime; pure cubic field; quadratic field; real number; series (mathematics); Voronoi's algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stothers:1981:SFI, author = "W. W. Stothers", title = "Subgroups of finite index in a free product with amalgamated subgroup", journal = j-MATH-COMPUT, volume = "36", number = "154", pages = "653--662", month = apr, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20E06 (10D07 20E07)", MRnumber = "82e:20036", MRreviewer = "Ian M. Chiswell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", keywords = "amalgamated subgroup; coset; diagrams; edge; finite index; free product; group theory; pseudograph; recurrence relation; vertices set", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1981:LMM, author = "James H. Bramble", title = "The {Lagrange} multiplier method for {Dirichlet}'s problem", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "1--11", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "83h:65119", 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., Cornell Univ., Ithaca, NY, USA", keywords = "boundary flux; boundary-value problems; Dirichlet's problem; elliptic equation; Lagrange multiplier; partial differential equations; second order", treatment = "A Application; T Theoretical or Mathematical", } @Article{Pitkaranta:1981:FEM, author = "Juhani Pitk{\"a}ranta", title = "The finite element method with {Lagrange} multipliers for domains with corners", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "13--30", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "82h:65087", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Inst. of Math., Helsinki Univ. of Technol, Espoo, Finland", keywords = "analysis; boundary subspaces; boundary-value problems; error analysis; finite element; finite element method; Lagrange; mesh refinements; multipliers; partial differential equations; Sobolev spaces; weighted", treatment = "A Application; T Theoretical or Mathematical", } @Article{Vogelius:1981:DRMa, author = "M. Vogelius and I. Babu{\v{s}}ka", title = "On a dimensional reduction method. {I}. The optimal selection of basis functions", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "31--46", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N99 (65J10)", MRnumber = "83c:65259a", MRreviewer = "Murli M. Gupta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland, College Park, MD, USA", keywords = "boundary-value problems; combinations; dimensional; finite linear; function approximation; methods; n-dimensional space; numerical; reduction method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Vogelius:1981:DRMb, author = "M. Vogelius and I. Babu{\v{s}}ka", title = "On a dimensional reduction method. {II}. Some approximation-theoretic results", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "47--68", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N99 (65J10)", MRnumber = "83c:65259b", MRreviewer = "Murli M. Gupta", 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 = "Inst. for Phys. Sci. and Technol., Univ. of Maryland, College Park, MD, USA", keywords = "boundary-value problems; dimensional; function approximation; methods; null-space; numerical; polynomials; reduction method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hicks:1981:HSS, author = "D. L. Hicks", title = "Hydrocode Subcycling Stability", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "69--78", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (76-04 76-08)", MRnumber = "83d:65252", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Computational Phys. and Mech. Div., Sandia Nat. Labs., Albuquerque, NM, USA", keywords = "artificial viscosity; Courant-Friedrichs-Lewy; hydrocodes; integration; numerical methods; stability; stress-rate equation; subcycling stability", treatment = "A Application; T Theoretical or Mathematical", } @Article{Berger:1981:AUA, author = "Alan E. Berger and Jay M. Solomon and Melvyn Ciment", title = "An analysis of a uniformly accurate difference method for a singular perturbation problem", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "79--94", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10", MRnumber = "83f:65121", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Appl. Maths. Branch, Naval Surface Weapons Centre, Silver Spring, MD, USA", keywords = "difference equations; differential equations; grid points; piecewise constant; problem; singular perturbation; tridiagonal difference; uniform mesh; uniformly accurate difference method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Makroglou:1981:BBM, author = "Athena Makroglou", title = "A block-by-block method for {Volterra} integro-differential equations with weakly-singular kernel", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "95--99", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20", MRnumber = "83d:65353", 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 = "Statistical Unit, Athens Univ., Athens, Greece", keywords = "block-by-block method; convergence; integro-differential equations; numerical methods; product integration technique; Volterra; weakly-singular kernel", treatment = "A Application; T Theoretical or Mathematical", } @Article{Martins:1981:NID, author = "M. Madalena Martins", title = "Note on irreducible diagonally dominant matrices and the convergence of the {AOR} iterative method", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "101--103", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F10", MRnumber = "83b:65031", MRreviewer = "L. Collatz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Coimbra, Coimbra, Portugal", keywords = "accelerated; algebra; AOR iterative method; bounds; convergence; convergence of numerical methods; diagonally dominant matrix; irreducible matrix; iterative methods; matrix; overrelation method; spectral radius; successive overrelaxation method", treatment = "A Application; T Theoretical or Mathematical", } @Article{Saad:1981:KSM, author = "Y. Saad", title = "{Krylov} Subspace Methods for Solving Large Unsymmetric Linear Systems", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "105--126", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F10", MRnumber = "83j:65037", MRreviewer = "D. S. Henderson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Theory/Matrix.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL, USA", keywords = "algebra; Arnoldi algorithm; bounds; conjugate gradient method; eigenvalues; error; iterative methods; Krylov subspace; linear; linear algebra; unsymmetric linear systems", kwds = "nla, linear system, nonsymmetric matrix, Krylov sequence", treatment = "A Application; T Theoretical or Mathematical", } @Article{Pennline:1981:ICR, author = "James A. Pennline", title = "Improving convergence rate in the method of successive approximations", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "127--134", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (34B15 65L10)", MRnumber = "83h:65135", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Virginia Commonwealth Univ., Richmond, VA, USA", keywords = "approximations; boundary-value problems; convergence; convergence rate; integral equations; iterative; iterative methods; methods; nonlinear integral equation; rate; successive", treatment = "A Application; T Theoretical or Mathematical", } @Article{Dunham:1981:RCD, author = "C. B. Dunham and Jack Williams", title = "Rate of convergence of discretization in {Chebyshev} approximation", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "135--139", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A25 (30E10 41A50 65D15)", MRnumber = "82f:41024", MRreviewer = "John P. Coleman", 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 Computer Sci., Univ. of Western Ontario, London, Ont., Canada", keywords = "Chebyshev approximation; convergence of numerical methods; convergence rate; discretization; finite point set; quadratic convergence; smooth arc", treatment = "A Application; T Theoretical or Mathematical", } @Article{Lancaster:1981:SGM, author = "P. Lancaster and K. Salkauskas", title = "Surfaces Generated by Moving Least Squares Methods", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "141--158", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D05 (41A05 41A63)", MRnumber = "83c:65015", MRreviewer = "D. C. Handscomb", 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. and Statistics, Univ. of Calgary, Calgary, Alta., Canada", keywords = "bivariate system; interpolants; least squares approximations; methods; moving least squares; projection methods; smoothness; univariate system", treatment = "A Application; T Theoretical or Mathematical", } @Article{Ash:1981:OND, author = "J. Marshall Ash and Roger L. Jones", title = "Optimal numerical differentiation using three function evaluations", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "159--167", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D05 (39A05)", MRnumber = "84a:65008", MRreviewer = "A. Lupa\cedla s", 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. Sci., De Paul Univ., Chicago, IL, USA", keywords = "difference; differentiation; numerical differentiation; numerical method; numerical methods; quotient; real-valued functions", treatment = "A Application; T Theoretical or Mathematical", } @Article{Ting:1981:CIO, author = "Bing Yuan Ting and Yudell L. Luke", title = "Computation of integrals with oscillatory and singular integrands", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "169--183", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30 (41A60)", MRnumber = "82f:65022", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4180 (Integral equations)", corpsource = "Marley Cooling Tower Co., Mission, KS, USA", keywords = "analysis; endpoints; error; error analysis; integration; interval; numerical methods; oscillatory integrand; singular integrands; singularities; weight function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Mond:1981:AEL, author = "B. Mond", title = "On algorithmic equivalence in linear fractional programming", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "185--187", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "90C32", MRnumber = "82m:90147", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4240 (Programming and algorithm theory)", corpsource = "Dept. of Pure Math., La Trobe Univ., Bundoora, Vic., Australia", keywords = "algorithmic equivalence; computation complexity; computational complexity; fractional programming; linear; linear programming", treatment = "A Application; T Theoretical or Mathematical", } @Article{Boyd:1981:RCC, author = "John P. Boyd", title = "The rate of convergence of {Chebyshev} polynomials for functions which have asymptotic power series about one endpoint", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "189--195", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A25", MRnumber = "82h:41022", MRreviewer = "A. E. Danese", 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 = "Center for Earth and PLanetary Phys., Harvard Univ., Cambridge, MA, USA", keywords = "asymptotic power; bounded derivatives; Chebyshev approximation; Chebyshev polynomials; convergence of numerical methods; convergence rate; expansion interval; point; polynomials; series; singular", treatment = "A Application; T Theoretical or Mathematical", } @Article{Delahaye:1981:ASS, author = "J. P. Delahaye", title = "Automatic Selection of Sequence Transformations", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "197--204", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65B99", MRnumber = "83c:65006", MRreviewer = "Y. L. Luke", 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 = "Univ. des Sci. et Techniques de Lille, Villeneuve d'Ascq, France", keywords = "approximation theory; sequence transformations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Smyth:1981:MTR, author = "C. J. Smyth", title = "On the measure of totally real algebraic integers. {II}", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "205--208", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A15 (10F25)", MRnumber = "82j:12002b", MRreviewer = "Marthe Grandet", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Mathon:1981:CST, author = "Rudolf A. Mathon and Kevin T. Phelps and Alexander Rosa", title = "A class of {Steiner} triple systems of order $21$ and associated {Kirkman} systems", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "209--222", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "05B07 (51E10)", MRnumber = "82k:05022", MRreviewer = "Charles J. Colbourn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Duijvestijn:1981:LOS, author = "A. J. W. Duijvestijn and P. Leeuw", title = "Lowest order squared rectangles and squares with the largest element not on the boundary", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "223--228", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "05B45 (52A45)", MRnumber = "82j:05047", MRreviewer = "Heiko Harborth", 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 Appl. Math., Twente Univ. of Technol., Enschede, Netherlands", keywords = "approximation theory; lowest order squared rectangles; squares", treatment = "T Theoretical or Mathematical", } @Article{Baillie:1981:PSC, author = "Robert Baillie and G. Cormack and H. C. Williams", title = "The problem of {Sierpi{\'n}ski} concerning $k\cdot 2^{n}+1$", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "229--231", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25", MRnumber = "83a:10006a", MRreviewer = "Graham Lord", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Computer Based Education Res. Lab., Univ. of Illinois, Urbana, IL, USA", keywords = "number theory; Sierpinski problem", treatment = "T Theoretical or Mathematical", } @Article{Fransen:1981:ACH, author = "Arne Frans{\'e}n", title = "Addendum and corrigendum to: {``High-precision values of the gamma function and of some related coefficients''} {[Math. Comp. {\bf 34} (1980), no. 150, 553--566, MR 81f:65004] by Frans{\'e}n and S. Wrigge}", journal = j-MATH-COMPUT, volume = "37", number = "155", pages = "233--235", month = jul, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05 (65D20)", MRnumber = "82m:65002", bibdate = "Sat Apr 01 10:12:58 2000", bibsource = "JSTOR database", note = "See \cite{Fransen:1980:HPV}.", acknowledgement = ack-nhfb, } @Article{Beale:1981:RCV, author = "J. Thomas Beale and Andrew Majda", title = "Rates of convergence for viscous splitting of the {Navier--Stokes} equations", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "243--259", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M15 (76D05)", MRnumber = "82i:65056", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Math., Tulane Univ., New Orleans, LA, USA", keywords = "algorithms; convergence of numerical methods; fluid flow; Navier--Stokes equations; number; partial differential equations; physics computing; Reynolds; splitting; time interval; viscosity; viscous", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Aziz:1981:FEA, author = "A. K. Aziz and R. Bruce Kellogg", title = "Finite Element Analysis of a Scattering Problem", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "261--272", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (35J05)", MRnumber = "82i:65069", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Inst. for Phys. Sci. and Technol., Univ. of Maryland, College Park, MD, USA", keywords = "finite element analysis; finite element method; partial differential equations; physics computing; piecewise polynomial functions; polynomials; propagation; reduced wave equation; scattering problem; spherical harmonics; wave; wave propagation", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Isaacson:1981:NAS, author = "D. Isaacson and E. L. Isaacson and D. Marchesin and P. J. Paes-Leme", title = "Numerical analysis of spectral properties of coupled oscillator {Schr{\"o}dinger} operators. {I}. {Single} and double well anharmonic oscillators", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "273--292", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N25 (81C05)", MRnumber = "82i:65068", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Math., Rensselaer Polytech. Inst., Troy, NY, USA", keywords = "digital simulation; eigenvalues and eigenfunctions; numerical analysis; physics computing; Schr{\"o}dinger equation; physics computing; Schr{\"o}dinger operators; anharmonic; oscillators; eigenvalues and eigenfunctions; inverse power", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Gottlieb:1981:SPF, author = "David Gottlieb and Steven A. Orszag and Eli Turkel", title = "Stability of pseudospectral and finite-difference methods for variable coefficient problems", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "293--305", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10", MRnumber = "82i:65054", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Math., Tel-Aviv Univ., Tel-Aviv, Israel", keywords = "computing; difference equations; differential equations; digital; digital simulation; finite difference method; physics; physics computing; pseudospectral approximation; simulation; spatial mesh; wave equations; wave propagation", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{LeRoux:1981:NSS, author = "A. Y. {Le Roux}", title = "Numerical Stability for Some Equations of Gas Dynamics", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "307--320", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "76N15 (65M10 76A60)", MRnumber = "82m:76044", MRreviewer = "Murli M. Gupta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Lab. d'Analyse Numerique, Rennes, France", keywords = "density; digital simulation; equations; Eulerian coordinates; gas dynamics equations; momentum; numerical methods; partial differential; partial differential equations; physics computing; stability; supersonic flow; supersonic flows", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Starius:1981:AEC, author = "G{\"o}ran Starius", title = "Asymptotic expansions for a class of elliptic difference schemes", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "321--326", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N15 (65B05)", MRnumber = "82i:65066", 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 Appl. Maths., Univ. of Lulea, Lulea, Sweden", keywords = "asymptotic; difference equations; Dirichlet problem; equations; expansion; extrapolation; finite difference method; Kreiss' difference scheme; mesh length; partial differential; Poisson equation; Richardson extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Huang:1981:SCE, author = "Mingyou Huang and Vidar Thom{\'e}e", title = "Some Convergence Estimates for Semidiscrete Type Schemes for Time-Dependent Nonselfadjoint Parabolic Equations", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "327--346", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60 (65M15)", MRnumber = "82i:65060", 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 Maths., Jilin Univ., Changchun, China", keywords = "bounded domain; Dirichlet boundary; energy arguments; equations; finite element; finite element analysis; Galerkin; L/sub 2/ norm error; nonselfadjoint parabolic equations; partial differential; partial differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Field:1981:ADI, author = "David A. Field", title = "An algorithm for determining invertible quadratic isoparametric finite element transformations", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "347--360", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65H10)", MRnumber = "82i:65071", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Dept., General Motors Res. Labs., Warren, MI, USA", keywords = "algorithm; finite element analysis; invertibility; isoparametric finite element; Jacobian; partial differential equation; partial differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Vogelius:1981:DRMc, author = "M. Vogelius and I. Babu{\v{s}}ka", title = "On a Dimensional Reduction Method. {III}. {A} Posteriori Error Estimation and an Adaptive Approach", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "361--384", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N99 (65J10)", MRnumber = "83c:65259c", MRreviewer = "Murli M. Gupta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Courant Inst. of Math. Sci., New York Univ., New York, NY, USA", keywords = "boundary value; boundary-value problems; dimensional reduction method; error analysis; problems", treatment = "A Application; T Theoretical or Mathematical", } @Article{Jameson:1981:ISD, author = "A. Jameson and E. Turkel", title = "Implicit Schemes and ${LU}$ Decompositions", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "385--397", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (65F05)", MRnumber = "82i:65055", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Courant Inst. of Math. Sci., New York Univ., New York, NY, USA", keywords = "algebra; Crank Nicolson estimate; Euler method; LU factorizations; matrix; matrix algebra; Newton Raphson iteration; numerical methods; systems; tridiagonal", treatment = "T Theoretical or Mathematical", } @Article{Piazza:1981:SRK, author = "Giuseppe Piazza", title = "On the ${BN}$ Stability of the {Runge--Kutta} Methods", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "399--401", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "82i:65045", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Univ. di Bari, Bari, Italy", keywords = "BN stability; differential equations; Runge--Kutta methods; stability", treatment = "T Theoretical or Mathematical", } @Article{Locher:1981:IUM, author = "F. Locher", title = "Interpolation on uniform meshes by the translates of one function and related attenuation factors", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "403--416", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D10 (42A15)", MRnumber = "82i:65008", 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 = "Fernuniv.-Gesamthochschule, Hagen, West Germany", keywords = "attenuation factors; coefficients; convolution matrix; Fourier; Fourier analysis; interpolation; proportionality factors", treatment = "T Theoretical or Mathematical", } @Article{Jen:1981:CSA, author = "Erica Jen and R. P. Srivastav", title = "Cubic splines and approximate solution of singular integral equations", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "417--423", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (41A15 45E05)", MRnumber = "82i:65082", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4180 (Integral equations)", corpsource = "Dept. of Math. and Statistics, State Univ. of New York, Stony Brook, NY, USA", keywords = "Cauchy equation; cubic splines; integral equations; linear algebra; linear algebraic equations; singular integral equations; splines (mathematics); weight function", treatment = "A Application; T Theoretical or Mathematical", } @Article{Toint:1981:SQN, author = "Ph. L. Toint", title = "A sparse {quasi-Newton} update derived variationally with a nondiagonally weighted {Frobenius} norm", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "425--433", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F30 (15A24 65K10)", MRnumber = "82i:65028", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., Facultes Univ. de Namur, Namur, Belgium", keywords = "matrix algebra; numerical methods; quasi-Newton updating; symmetric sparse updating; weighted Frobenius norm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stummel:1981:PTE, author = "F. Stummel", title = "Perturbation theory for evaluation algorithms of arithmetic expressions", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "435--473", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65G99", MRnumber = "82i:65032", 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 = "Univ. of Frankfurt, Frankfurt, West Germany", keywords = "arithmetic; data perturbations; error analysis; evaluation algorithms; expressions; linearization method; optimal bounds; perturbation theory", treatment = "A Application; T Theoretical or Mathematical", } @Article{Fransen:1981:CTS, author = "Arne Frans{\'e}n", title = "Conjectures on the {Taylor} Series Expansion Coefficients of the {Jacobian} Elliptic Function $\mathrm{sn}(x, k)$", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "475--494", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A25", MRnumber = "83a:33003", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden", keywords = "(mathematics); elliptic function; function approximation; Jacobian; numerical methods; series; Taylor series expansion", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wrigge:1981:NTS, author = "Staffan Wrigge", title = "A Note on the {Taylor} Series Expansion Coefficients of the {Jacobian} Elliptic Function $\mathrm{sn}(x, k)$", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "495--497", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A25", MRnumber = "83a:33004", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden", keywords = "integers; Jacobian elliptic function; linear algebra; numerical methods; polynomials; power series; series (mathematics); Taylor series expansion", treatment = "T Theoretical or Mathematical", } @Article{Glasser:1981:CBS, author = "M. L. Glasser", title = "A Class of {Bessel} Summations", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "499--501", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A40 (42A16 44A15)", MRnumber = "82j:33015", MRreviewer = "B. D. Agrawal", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Math. and Computer Sci., Clarkson Coll., Potsdam, NY, USA", keywords = "Bessel functions; Bessel summations; infinite series", treatment = "T Theoretical or Mathematical", } @Article{Hsu:1981:AFT, author = "L. C. Hsu and Y. S. Chou", title = "An asymptotic formula for a type of singular oscillatory integrals", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "503--507", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A60", MRnumber = "83e:41035", MRreviewer = "E. Rieksti\lfhook n{\v{s}}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Jilin Univ., Changchun, China", keywords = "Bernoulli functions; fixed; function; integrands; integration; numerical methods; real number; Riemann zeta; singular oscillatory integrals", treatment = "A Application; T Theoretical or Mathematical", } @Article{Wong:1981:MAE, author = "R. Wong and J. P. McClure", title = "On a method of asymptotic evaluation of multiple integrals", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "509--521", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A60 (41A63)", MRnumber = "83b:41040", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Univ. of Manitoba, Winnipeg, Man., Canada", keywords = "(mathematics); asymptotic; differentiability; Dirac function; expansions; Fourier transform; Fourier transforms; integrals; integration; multiple; numerical methods; series; Taylor theorem", treatment = "A Application; T Theoretical or Mathematical", } @Article{Duijvestijn:1981:NPC, author = "A. J. W. Duijvestijn and P. J. Federico", title = "The number of polyhedral ($3$-connected planar) graphs", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "523--532", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "05C30 (05C10 52A25)", MRnumber = "83f:05028", MRreviewer = "E. M. Palmer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Twente Univ. of Technol., Enschede, Netherlands", keywords = "3-connected planar graphs; edges; faces; graph theory; isomorphism; polyhedral graph; vertices", treatment = "T Theoretical or Mathematical", } @Article{Winker:1981:SAI, author = "S. K. Winker and L. Wos and E. L. Lusk", title = "Semigroups, antiautomorphisms, and involutions: a computer solution to an open problem. {I}", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "533--545", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20M15 (03B35 20-04 68G20)", MRnumber = "82k:20103", MRreviewer = "R. S. Pierce", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Argonne Nat. Lab., Argonne, IL, USA", keywords = "antiautomorphisms; finite semigroup; group theory; involutions; mapping", treatment = "T Theoretical or Mathematical", } @Article{Queen:1981:MFA, author = "Larissa Queen", title = "Modular Functions Arising from Some Finite Groups", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "547--580", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20C15 (10D07 20D08)", MRnumber = "83d:20008", MRreviewer = "Leo J. Alex", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Univ. of Cambridge, Cambridge, UK", keywords = "Hauptmoduls function; modular groups; series (mathematics); Thompson series", treatment = "T Theoretical or Mathematical", } @Article{Leavitt:1981:PDF, author = "W. G. Leavitt and Albert A. Mullin", title = "Primes Differing by a Fixed Integer", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "581--585", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10L10 (10H15)", MRnumber = "83c:10077", MRreviewer = "Kenneth A. Jukes", 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 Math. and Statistics, Univ. of Nebraska, Lincoln, NE, USA", keywords = "bound; divisor; fixed integer; number theory; primes", treatment = "T Theoretical or Mathematical", } @Article{Pomerance:1981:DP, author = "Carl Pomerance", title = "On the Distribution of Pseudoprimes", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "587--593", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A21 (10A20)", MRnumber = "83k:10009", MRreviewer = "M. C. Wunderlich", 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 Math., Univ. of Georgia, Athens, GA, USA", keywords = "counting function; number theory; pseudoprimes distribution", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1981:CST, author = "Henry E. Fettis", title = "Corrigendum: {``On some trigonometric integrals''}", journal = j-MATH-COMPUT, volume = "37", number = "156", pages = "605--605", month = oct, year = "1981", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A15 (33A10 33A70)", MRnumber = "82c:33003b", bibdate = "Wed Jan 15 08:42:10 1997", acknowledgement = ack-nhfb, } @Article{Schatz:1982:QOP, author = "A. H. Schatz and L. B. Wahlbin", title = "On the Quasi-Optimality in ${L}_\infty$ of the $\overset{\circ}{H}^1$-Projection into Finite Element Spaces", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "1--22", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "82m:65106", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Maths., Cornell Univ., Ithaca, NY, USA", keywords = "bounded smooth domain; finite element analysis; finite element spaces; function approximation; mesh-domains; optimisation; projection; quasi-; quasi-optimality; uniform partitions", treatment = "T Theoretical or Mathematical", } @Article{Arnold:1982:SFE, author = "Douglas N. Arnold and Ragnar Winther", title = "A superconvergent finite element method for the {Korteweg-de Vries} equation", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "23--36", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60 (76A60 76B15)", MRnumber = "82m:65087", 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., Univ. of Maryland, College Park, MD, USA", keywords = "convergence of numerical methods; discrete; equations; finite element analysis; finite element method; fully discrete; Korteweg-de Vries equation; optimal order global estimates; partial differential equations; stable; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Archer:1982:CGM, author = "David Archer and Julio C{\'e}sar D{\'i}az", title = "A collocation-{Galerkin} method for a first order hyperbolic equation with space and time dependent coefficient", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "37--53", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60 (65N35)", MRnumber = "82m:65086", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "DREM, Houston, TX, USA", keywords = "approximating solution; boundary-value problems; collocation-Galerkin method; differential equations; equation; first order hyperbolic; hyperbolic; initial value problems; initial-boundary value problem; partial", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Han:1982:FEM, author = "Houde Han", title = "The finite element method in a family of improperly posed problems", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "55--65", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60 (35R25 65M30)", MRnumber = "82m:65091", 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., Univ. of Maryland, College Park, MD, USA", keywords = "approximate solution; Cauchy problem; convergence; convergence of numerical methods; elliptic equations; finite element analysis; finite element method; improperly posed problems; inequality problem; numerical; numerical methods; partial differential equations; solution; variational", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Canuto:1982:ARO, author = "C. Canuto and A. Quarteroni", title = "Approximation results for orthogonal polynomials in {Sobolev} spaces", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "67--86", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A10", MRnumber = "82m:41003", MRreviewer = "H. Triebel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Istituto di Matematical Applicata, Pavia, Italy", keywords = "approximation; Chebyshev system; differential equations; error analysis; error estimates; interpolation; interpolation operators; Legendre system; numerical analysis; numerical methods; orthogonal polynomials; partial; partial differential equations; polynomials; properties; Sobolev spaces; systems of polynomials", treatment = "T Theoretical or Mathematical", } @Article{Alfeld:1982:FPI, author = "Peter Alfeld", title = "Fixed Point Iteration with Inexact Function Values", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "87--98", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65H10 (65K10)", MRnumber = "82m:65048", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290 (Numerical analysis); C4100 (Numerical analysis)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", keywords = "amount of computation; computational effort; error criterion; final; fixed point iteration; inexact function values; iterate; iterative; iterative methods; schemes", treatment = "T Theoretical or Mathematical", } @Article{Iserles:1982:CEA, author = "Arieh Iserles", title = "Composite Exponential Approximations", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "99--112", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "82m:65063", 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 = "King's Coll., Univ. of Cambridge, Cambridge, UK", keywords = "approximation theory; approximations; CEA; composite exponential approximations; different step-; differential equations; exponential fitting; length; N-; numerical; ordinary differential equations; Pad{\'e} approximations; solution; stability", treatment = "T Theoretical or Mathematical", } @Article{Marsden:1982:SIK, author = "M. J. Marsden", title = "Spline Interpolation at Knot Averages on a Two-Sided Geometric Mesh", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "113--126", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A15 (65D07)", MRnumber = "82m:41011", MRreviewer = "Gheorghe Micula", 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., Univ. of Pittsburgh, Pittsburgh, PA, USA", keywords = "choice of nodes; continuous functions; function approximation; growth rate; interpolation; knot averages; spline interpolation; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Sidi:1982:NQR, author = "Avram Sidi", title = "Numerical quadrature rules for some infinite range integrals", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "127--142", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D32", MRnumber = "82m:65022", 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; exponential integral; Gaussian quadrature formulas; infinite range integrals; integration; interpolatory type; numerical methods; numerical quadrature formulas", treatment = "T Theoretical or Mathematical", } @Article{Chen:1982:AEE, author = "T. H. Charles Chen", title = "Asymptotic error estimates for {Gaussian} quadrature formulas", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "143--152", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D32 (41A55)", MRnumber = "82m:65019", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Math. Sci., Alcorn State Univ., Lorman, MS, USA", keywords = "asymptotic; error analysis; error estimates; Gaussian quadrature formulas; integration; non negative weight function", treatment = "T Theoretical or Mathematical", } @Article{Parlett:1982:ELE, author = "B. N. Parlett and H. Simon and L. M. Stringer", title = "On Estimating the Largest Eigenvalue with the {L{\'a}nczos} Algorithm", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "153--165", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F15", MRnumber = "82m:65033", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of California, Berkeley, CA, USA", keywords = "definite matrix; eigenvalue; eigenvalues and eigenfunctions; Lanczos algorithm; large matrices; matrix algebra; methods; misconvergence; numerical; positive", kwds = "nla, eig, Lanczos algorithm", treatment = "T Theoretical or Mathematical", } @Article{Kallman:1982:MFP, author = "Ralph Kallman", title = "A method for finding permanents of $0,\,1$ matrices", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "167--170", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "15A15 (05B20 15-04)", MRnumber = "83d:15002", MRreviewer = "Peter M. Gibson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math. Sci., Ball State Univ., Muncie, IN, USA", keywords = "0,1 matrices; computing permanents; execution times; matrices; matrix algebra; Nijenhuis-; numerical methods; permanents; row operations; Ryser algorithm; Wilf algorithms", treatment = "T Theoretical or Mathematical", } @Article{Cuyt:1982:NSH, author = "Annie A. M. Cuyt", title = "Numerical stability of the {Halley-iteration} for the solution of a system of nonlinear equations", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "171--179", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65H10 (65G05 65J15)", MRnumber = "82m:65050", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Univ. of Antwerp, Wilrijk, Belgium", keywords = "abstract Rational approximants; Halley-iteration; iterative methods; nonlinear equations; numerical methods; numerical stability; Pad{\'e} approximants; procedure; stability; third order iterative", treatment = "T Theoretical or Mathematical", } @Article{Franke:1982:SDI, author = "Richard Franke", title = "Scattered Data Interpolation: Tests of Some Methods", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "181--200", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D05", MRnumber = "82m:65008", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Graphics/imager/imager.82.bib; Graphics/siggraph/82.bib; Theory/nld.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Maths., Naval Postgraduate School, Monterey, CA, USA", keywords = "accuracy; data analysis; evaluation of methods; implementation; interpolation; scattered data; storage; timing", treatment = "T Theoretical or Mathematical", } @Article{Joshi:1982:ICH, author = "C. M. Joshi and J. P. Arya", title = "Inequalities for Certain Hypergeometric Functions", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "201--205", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A30", MRnumber = "83a:33007", MRreviewer = "H. M. Srivastava", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Dept. of Maths., Univ. of Jodhpur, Jodhpur, India", keywords = "analogues; Buschman; functional analysis; Gauss; hypergeometric functions; inequalities; Kummer; two-sided inequalities", treatment = "T Theoretical or Mathematical", } @Article{Kalla:1982:IJF, author = "Shyam L. Kalla and Salvador Conde and Yudell L. Luke", title = "Integrals of {Jacobi} Functions", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "207--214", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A25 (33-04 65D30)", MRnumber = "83a:33005", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Univ. del Zulia, Maracaibo, Venezuela", keywords = "algebraic singularities; formulas; function approximation; integrands; integration; Jacobi functions; logarithmic singularities", treatment = "T Theoretical or Mathematical", } @Article{Ling:1982:EIH, author = "Chih Bing Ling and Ming Jing Wu", title = "Evaluation of integrals of {Howland} type involving a {Bessel} function", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "215--222", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05 (65D20)", MRnumber = "82m:65003", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); B0290M (Numerical integration and differentiation); C1120 (Mathematical analysis); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Maths., Virginia Polytech. Inst. and State Univ., Blacksburg, VA, USA", keywords = "10D; 20D; accuracy; Bessel function; Bessel functions; Howland type; integrals; integration; tabulated values", treatment = "T Theoretical or Mathematical", } @Article{Belevitch:1982:SIT, author = "V. Belevitch and J. Boersma", title = "On {Stieltjes} integral transforms involving ${\Gamma} $-functions", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "223--226", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "44A15 (33A15 33A45)", MRnumber = "83d:44001", MRreviewer = "V. M. Bhise", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "Philips Res Lab., Brussels, Belgium", keywords = "Gamma functions; integral transforms; Stieltjes transforms; systematic classification; transforms", treatment = "T Theoretical or Mathematical", } @Article{Cohn:1982:EME, author = "Harvey Cohn", title = "An explicit modular equation in two variables and {Hilbert}'s twelfth problem", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "227--236", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10D20 (12A65)", MRnumber = "82k:10027", MRreviewer = "Marie-France Vign{\'e}ras", 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 = "Maths. Dept., City Coll. of New York, New York, NY, USA", keywords = "algebraic fields; explicit modular equation; Fourier series; function approximation; Hilbert modular function; Hilbert's twelfth problem; transcendental functions", treatment = "T Theoretical or Mathematical", } @Article{Greaves:1982:ASC, author = "G. Greaves", title = "An algorithm for the solution of certain differential-difference equations of advanced type", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "237--247", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (10H30)", MRnumber = "82m:65124", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); B0290B (Error analysis in numerical methods); B0290P (Differential equations); C1160 (Combinatorial mathematics); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Pure Maths., Univ. Coll. Cardiff, Cardiff, UK", keywords = "difference equations; differential-difference equations; error analysis; number theory; numerical approximation; numerical methods; numerical performance; theory of numbers", treatment = "T Theoretical or Mathematical", } @Article{Beck:1982:LBO, author = "Walter E. Beck and Rudolph M. Najar", title = "A Lower Bound for Odd Triperfects", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "249--251", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A20", MRnumber = "83m:10006", MRreviewer = "Carl Pomerance", 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 Maths., Univ. of Northern Iowa, Cedar Falls, IA, USA", keywords = "lower bound; natural number; number theory; odd triperfects; triperfect", treatment = "T Theoretical or Mathematical", } @Article{Brent:1982:SPP, author = "Richard P. Brent", title = "Succinct proofs of primality for the factors of some {Fermat} numbers", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "253--255", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10-04 (10A25 65C99)", MRnumber = "82k:10002", MRreviewer = "D. H. Lehmer", 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 Computer Sci., Australian Nat. Univ., Canberra, ACT, Australia", keywords = "factors; Fermat numbers; number theory; primality; prime factors; proofs of", treatment = "T Theoretical or Mathematical", } @Article{Laska:1982:AFM, author = "Michael Laska", title = "An algorithm for finding a minimal {Weierstrass} equation for an elliptic curve", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "257--260", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "14K15 (14-04 14G25 14K07)", MRnumber = "84e:14033", 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 = "Sonderforschungsbereich Theoretische Math., Bonn, West Germany", keywords = "algebraic number field; elliptic curve; equation; function approximation; global minimal Weierstrass equation; Weierstrass", treatment = "T Theoretical or Mathematical", } @Article{Williams:1982:DPF, author = "H. C. Williams", title = "Determination of Principal Factors in $\mathcal{Q}(\sqrt {D})$ and $\mathcal{Q}(\sqrt[3]{D})$", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "261--274", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A30 (12A45)", MRnumber = "83e:12001", MRreviewer = "Horst Brunotte", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Man., Canada", keywords = "algebra; algebraic; algebraic number fields; integer; number theory; principal factors; Voronoi's continued fraction algorithm", treatment = "T Theoretical or Mathematical", } @Article{Pohst:1982:ECFa, author = "Michael Pohst and Hans Zassenhaus", title = "On Effective Computation of Fundamental Units. {I}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "275--291", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A45 (12-04)", MRnumber = "83e:12005a", MRreviewer = "Kurt Girstmair", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); B0260 (Optimisation techniques); C1110 (Algebra); C1160 (Combinatorial mathematics); C1180 (Optimisation techniques)", corpsource = "Maths. Inst., Univ. Dusseldorf, Dusseldorf, West Germany", keywords = "algebra; algebraic number field; computation of fundamental units; factorization; fundamental units; ideal; linear programming; number theory", treatment = "T Theoretical or Mathematical", } @Article{Pohst:1982:ECFb, author = "Michael Pohst and Peter Weiler and Hans Zassenhaus", title = "On Effective Computation of Fundamental Units. {II}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "293--329", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A45 (12-04)", MRnumber = "83e:12005b", MRreviewer = "Kurt Girstmair", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Keller:1982:TEN, author = "Wilfrid Keller", title = "Table errata: {{``New primes of the form $k\cdot 2^{n}+1$''} {[Math. Comp. {\bf 33} (1979), no. 148, 1333--1336]}, MR 80h:10009, by R. Baillie}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "335--335", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25", MRnumber = "82m:10013", bibdate = "Wed Jan 15 08:44:30 1997", acknowledgement = ack-nhfb, } @Article{Keller:1982:TEP, author = "Wilfrid Keller", title = "Table errata: {``Properties of the sequence $3\cdot 2^{n}+1$''} {[Math. Comp. {\bf 30} (1976), no. 135, 657--663, MR {\bf 53} \#7933] by S. W. Golomb}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "335--335", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A40", MRnumber = "82m:10024", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Keller:1982:TES, author = "Wilfrid Keller", title = "Table errata: {``Some very large primes of the form $k\cdot 2^{m}+1$''} {[Math. Comp. {\bf 35} (1980), no. 152, 1419--1421], MR 81i:10011 by G. V. Cormack and H. C. Williams}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "335--335", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25", MRnumber = "82k:10011", bibdate = "Wed Jan 15 08:45:52 1997", acknowledgement = ack-nhfb, } @Article{Davenport:1982:TET, author = "J. H. Davenport", title = "Table errata: {{\em Tables of indefinite integrals} [English translation, Dover, New York, 1961, MR {\bf 23} \#A256] by G. Petit Bois}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "335--336", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "26A06", MRnumber = "82j:26003", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Fettis:1982:CETa, author = "Henry E. Fettis", title = "Corrigendum: {``Table errata: {\em Table of integrals, series, and products} by I. S. Grad{\v{s}}te{\u{\i}}n and I. M. Ry{\v{z}}ik'' [Math. Comp. {\bf 36} (1981), no. 153, 317--318], MR 82a:65009}", journal = j-MATH-COMPUT, volume = "38", number = "157", pages = "337--337", month = jan, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05", MRnumber = "82m:65001", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Osher:1982:UDS, author = "Stanley Osher and Fred Solomon", title = "Upwind difference schemes for hyperbolic systems of conservation laws", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "339--374", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M05", MRnumber = "83d:65247", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/Multi.bib", acknowledgement = ack-nhfb, } @Article{Johnson:1982:ASM, author = "Claes Johnson and Juhani Pitk{\"a}ranta", title = "Analysis of some mixed finite element methods related to reduced integration", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "375--400", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "83d:65287", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Werschulz:1982:OEP, author = "Arthur G. Werschulz", title = "Optimal error properties of finite element methods for second order elliptic {Dirichlet} problems", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "401--413", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "83d:65300", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Halpern:1982:ABC, author = "Laurence Halpern", title = "Absorbing boundary conditions for the discretization schemes of the one-dimensional wave equation", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "415--429", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M05", MRnumber = "83d:65245", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Crisci:1982:SCM, author = "M. R. Crisci and E. Russo", title = "${A}$-stability of a class of methods for the numerical integration of certain linear systems of ordinary differential equations", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "431--435", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L07", MRnumber = "83d:65219", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Rannacher:1982:SOE, author = "Rolf Rannacher and Ridgway Scott", title = "Some optimal error estimates for piecewise linear finite element approximations", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "437--445", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "83e:65180", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kovvali:1982:PFS, author = "S. Kovvali and G. K. Gupta", title = "Polynomial formulation of second derivative multistep methods", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "447--458", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "83d:65209", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Dennis:1982:DSU, author = "J. E. {Dennis, Jr.} and Earl S. Marwil", title = "Direct Secant Updates of Matrix Factorizations", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "459--474", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65H10", MRnumber = "83d:65159", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Bunch:1982:NSD, author = "James R. Bunch", title = "A Note on the Stable Decomposition of Skew Symmetric Matrices", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "475--479", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F05", MRnumber = "83d:65078", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, kwds = "nla, lud, skew-symmetric matrix", } @Article{Smith:1982:NCN, author = "David A. Smith and William F. Ford", title = "Numerical comparisons of nonlinear convergence accelerators", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "481--499", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65B10 (65-04)", MRnumber = "83d:65014", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Warsi:1982:NMG, author = "Z. U. A. Warsi and J. F. Thompson", title = "A noniterative method for the generation of orthogonal coordinates in doubly-connected regions", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "501--516", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N50 (30C60 31A05)", MRnumber = "83d:65307", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Sidi:1982:NEV, author = "Avram Sidi", title = "The numerical evaluation of very oscillatory infinite integrals by extrapolation", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "517--529", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30 (41A55 65B99)", MRnumber = "83i:65023", MRreviewer = "T. N. L. Patterson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity); A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Computer Sci. Dept., Technion-Israel Inst. of Technol., Haifa, Israel", keywords = "convergence; convergence of numerical methods; integration; interpolation; Levin; nonlinear extrapolation; numerical evaluation; oscillatory infinite integrals; Sidi; viscoelasticity", treatment = "T Theoretical or Mathematical", } @Article{Levin:1982:PCO, author = "David Levin", title = "Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "531--538", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30", MRnumber = "83a:65023", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "School of Math. Sci., Tel-Aviv Univ., Ramat Aviv, Israel", keywords = "collocation; differential equations; functions; integration; one-dimensional integrals; ordinary differential equations; oscillatory; rapid irregular oscillations; two-dimensional integration", treatment = "T Theoretical or Mathematical", } @Article{Beighton:1982:EES, author = "S. Beighton and B. Noble", title = "An error estimate for {Stenger}'s quadrature formula", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "539--545", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30", MRnumber = "83a:65021", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{DiDonato:1982:RRI, author = "A. R. DiDonato", title = "Recurrence relations for the indefinite integrals of the associated {Legendre} functions", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "547--551", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A45 (33A65)", MRnumber = "84b:33008", MRreviewer = "B. D. Agrawal", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Nemeth:1982:PTP, author = "G{\'e}za N{\'e}meth and Magda Zim{\'a}nyi", title = "Polynomial Type {Pad{\'e}} Approximants", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "553--565", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A21 (33A15 41A20)", MRnumber = "83e:41020", MRreviewer = "A. Magnus", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Wrigge:1982:GMA, author = "Staffan Wrigge and Arne Frans{\'e}n", title = "A General Method of Approximation. Part {I}", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "567--588", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A50 (15A57 65D15)", MRnumber = "83f:41025", MRreviewer = "A. G. Law", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Chambers:1982:UBF, author = "Ll. G. Chambers", title = "An upper bound for the first zero of {Bessel} functions", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "589--591", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A65", MRnumber = "83h:33011", MRreviewer = "S. Ahmed", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Ling:1982:EGH, author = "Chih Bing Ling", title = "Evaluation of Generalized {Howland} Integrals", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "593--599", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20 (65D30)", MRnumber = "83a:65016", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Laderman:1982:SFP, author = "Jack Laderman and Julian D. Laderman", title = "Simplified Forecasting by Polynomial Regression with Equally Spaced Values of the Independent Variable", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "601--610", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Hilliker:1982:ASC, author = "David Lee Hilliker", title = "An algorithm for solving a certain class of {Diophantine} equations. {I}", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "611--626", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10B15 (10-04)", MRnumber = "83h:10038", MRreviewer = "E. L. Cohen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Brunotte:1982:CCM, author = "Horst Brunotte", title = "The computation of a certain metric invariant of an algebraic number field", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "627--632", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A99 (12-04 12A45)", MRnumber = "83h:12024", MRreviewer = "Hale F. Trotter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Costello:1982:DPI, author = "Patrick J. Costello", title = "Density problems involving $p_{r}(n)$", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "633--637", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A45", MRnumber = "83e:10016", MRreviewer = "H. G. Meijer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Buhler:1982:PF, author = "J. P. Buhler and R. E. Crandall and M. A. Penk", title = "Primes of the Form $n! \pm 1$ and $2 \cdot 3 \cdot 5 \cdots p \pm 1$", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "639--643", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25 (10A10)", MRnumber = "83c:10006", MRreviewer = "Duncan A. Buell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Gostin:1982:SNF, author = "Gary B. Gostin and Philip B. {McLaughlin, Jr.}", title = "Six New Factors of {Fermat} Numbers", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "645--649", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10-04 (10A25)", MRnumber = "83c:10003", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Blair:1982:CRC, author = "J. M. Blair", title = "Corrigenda: {``Rational Chebyshev approximations for the Bickley functions $Ki_{n}(x)$''} {[Math. Comp. {\bf 32} (1978), no. 143, 876--886 and C. A. Edwards MR {\bf 57} \#10999] by the author and J. H. Johnson}", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "657--657", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20", MRnumber = "83d:65045", bibdate = "Wed Jan 15 08:48:01 1997", acknowledgement = ack-nhfb, } @Article{Fettis:1982:CETb, author = "Henry E. Fettis", title = "Corrigenda: {``Erratum: {\em Table of integrals, series, and products} [Academic Press, New York, 1965 and MR {\bf 33} \#5952] by I. S. Gradshte{\u{\i}}n and I. M. Ryzhik''} {[Math. Comp. {\bf 27} (1973), 451--452, MR {\bf 54} \#4049] by A. Ojo and J. Sadiku}", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "657--657", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05", MRnumber = "83d:65009", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Hadjidimos:1982:COA, author = "A. Hadjidimos", title = "Corrigenda: {``Optimum accelerated overrelaxation method in a special case''} {[Math. Comp. {\bf 36} (1981), 183--187, MR 82c:65016] by G. Avdelas and the author}", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "657--657", month = apr, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F10", MRnumber = "83d:65099", bibdate = "Wed Jan 15 08:47:50 1997", acknowledgement = ack-nhfb, } @Article{Beale:1982:VMC, author = "J. Thomas Beale and Andrew Majda", title = "Vortex Methods. {I}: Convergence in Three Dimensions", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "1--27", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M15 (76C05)", MRnumber = "83i:65069a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0340G (Fluid dynamics: general mathematical aspects); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", keywords = "algorithm; convergence of numerical methods; convergent; crude vortex methods; dimensional vortex methods; flows; simulation; stable; three-; three-dimensional incompressible fluid; vortex; vortex filament structures; vortex methods; vortices", treatment = "T Theoretical or Mathematical", } @Article{Beale:1982:VMI, author = "J. Thomas Beale and Andrew Majda", title = "Vortex methods. {II}. Higher order accuracy in two and three dimensions", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "29--52", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M15 (76C05)", MRnumber = "83i:65069b", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0340G (Fluid dynamics: general mathematical aspects); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", keywords = "consistency; convergence of numerical methods; dimensional flows; incompressible flows; proof of convergence; simulation; two-; vortex method; vortices", treatment = "T Theoretical or Mathematical", } @Article{Elden:1982:TDBa, author = "Lars Eld{\'e}n", title = "Time discretization in the backward solution of parabolic equations. {I}", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "53--68", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M30", MRnumber = "83f:65150", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Elden:1982:TDBb, author = "Lars Eld{\'e}n", title = "Time discretization in the backward solution of parabolic equations. {II}", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "69--84", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M30", MRnumber = "83f:65150", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Dupont:1982:MME, author = "Todd Dupont", title = "Mesh Modification for Evolution Equations", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "85--107", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60", MRnumber = "84g:65131", MRreviewer = "D. M. Sloan", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Shampine:1982:TIO, author = "L. F. Shampine", title = "Type-insensitive {ODE} codes based on implicit ${A}(\alpha )$-stable formulas", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "109--123", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "83f:65116", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Bunse:1982:CBP, author = "W. Bunse and A. Bunse-Gerstner", title = "Computation of bounds for the positive eigenvector of a nonnegative irreducible matrix by monotone iteration", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "125--131", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F15 (15A42)", MRnumber = "83f:65050", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Brezinski:1982:SNC, author = "Claude Brezinski", title = "Some New Convergence Acceleration Methods", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "133--145", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65B05", MRnumber = "83f:65003", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Brunner:1982:RKT, author = "H. Brunner and E. Hairer and S. P. N{\o}rsett", title = "{Runge--Kutta} theory for {Volterra} integral equations of the second kind", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "147--163", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20", MRnumber = "83f:65203", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Chang:1982:CEM, author = "S. H. Chang", title = "On certain extrapolation methods for the numerical solution of integro-differential equations", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "165--171", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20", MRnumber = "83f:65204", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Levin:1982:EDI, author = "Moshe Levin", title = "On the Evaluation of Double Integrals", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "173--177", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D32", MRnumber = "83f:65032", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Nagaraja:1982:EI, author = "K. S. Nagaraja and G. R. Verma", title = "Evaluation of the Integral $\int^p_0 u^ne^{-u^2}(u + x)^{-1} du$", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "179--194", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20 (65A05 65D30)", MRnumber = "83f:65024", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Shivakumar:1982:AEL, author = "P. N. Shivakumar and R. Wong", title = "Asymptotic expansion of the {Lebesgue} constants associated with polynomial interpolation", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "195--200", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A05 (41A60)", MRnumber = "83i:41006", MRreviewer = "Christian Coatm{\'e}lec", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Boyd:1982:CPR, author = "John P. Boyd", title = "A {Chebyshev} polynomial rate-of-convergence theorem for {Stieltjes} functions", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "201--206", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A25", MRnumber = "83h:41022", MRreviewer = "Y. L. Luke", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Mahler:1982:ZSS, author = "K. Mahler", title = "On the Zeros of a Special Sequence of Polynomials", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "207--212", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12D10 (30C15 33A40)", MRnumber = "83k:12019", MRreviewer = "S. Ahmed", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Colman:1982:NPI, author = "W. J. A. Colman", title = "The number of partitions of the integer ${N}$ into ${M}$ nonzero positive integers", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "213--224", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A45", MRnumber = "83h:10029", MRreviewer = "L. Bruce Richmond", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Williams:1982:MF, author = "H. C. Williams", title = "A $p + 1$ Method of Factoring", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "225--234", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "83h:10016", MRreviewer = "W. Herget", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Bremner:1982:IPT, author = "Andrew Bremner and Patrick Morton", title = "The Integer Points on Three Related Elliptic Curves", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "235--238", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10B10 (94B60)", MRnumber = "83k:10031", MRreviewer = "Loren D. Olson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Rotkiewicz:1982:ELP, author = "A. Rotkiewicz", title = "On {Euler Lehmer} pseudoprimes and strong {Lehmer} pseudoprimes with parameters ${L}$, ${Q}$ in arithmetic progressions", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "239--247", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A05 (10A35)", MRnumber = "83k:10004", MRreviewer = "Don Redmond", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Boyd:1982:SRA, author = "David W. Boyd", title = "The Sequence of Radii of the {Apollonian} Packing", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "249--254", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "52A45", MRnumber = "83i:52013", MRreviewer = "J. B. Wilker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Adams:1982:SPT, author = "William Adams and Daniel Shanks", title = "Strong Primality Tests that are Not Sufficient", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "255--300", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25 (10-04 12-04)", MRnumber = "84c:10007", MRreviewer = "Jack P. Tull", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Baillie:1982:CPS, author = "Robert Baillie and G. Cormack and H. C. Williams", title = "Corrigenda: {``The problem of Sierpi{\'n}ski concerning $k\cdot 2^{n}+1$''} {[Math. Comp. {\bf 37} (1981), no. 155, 229--231]}", journal = j-MATH-COMPUT, volume = "39", number = "159", pages = "308--308", month = jul, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25", MRnumber = "83a:10006b", MRreviewer = "Graham Lord", bibdate = "Wed Jan 15 08:48:32 1997", acknowledgement = ack-nhfb, } @Article{Goldstein:1982:FEM, author = "Charles I. Goldstein", title = "A finite element method for solving {Helmholtz} type equations in waveguides and other unbounded domains", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "309--324", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65N15 78A50)", MRnumber = "84e:65112", MRreviewer = "Max D. Gunzburger", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A0340K (Waves and wave propagation: general mathematical aspects); A4320 (General linear acoustics); B0290B (Error analysis in numerical methods); B0290P (Differential equations); B5240D (Waveguide and cavity theory)", corpsource = "Appl. Math. Dept., Brookhaven Nat. Lab., Upton, NY, USA", keywords = "analysis; boundary value; boundary-value problems; equations; error analysis; finite element; finite element method; fixed bounded domain; Helmholtz type; optimal error estimates; problems; unbounded domains; variational formulation; variational techniques; wave propagation; waveguide theory; waveguides; weak formulation", treatment = "T Theoretical or Mathematical", } @Article{Veron:1982:SRC, author = "Laurent V{\'e}ron", title = "Some remarks on the convergence of approximate solutions of nonlinear evolution equations in {Hilbert} spaces", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "325--337", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "47H15 (34A45)", MRnumber = "83j:47051", MRreviewer = "Seppo Heikkil{\"a}", 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. de Math., Univ. de Tours, Tours, France", keywords = "continuous piecewise linear approximate; convergence; convergence of numerical methods; function approximation; group theory; Hilbert spaces; nonlinear differential equations; nonlinear evolution equations; solution", treatment = "T Theoretical or Mathematical", } @Article{Baker:1982:HOA, author = "Garth A. Baker and Vassilios A. Dougalis and Ohannes A. Karakashian", title = "On a higher order accurate fully discrete {Galerkin} approximation to the {Navier--Stokes} equations", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "339--375", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60 (65N30 76D05)", MRnumber = "84h:65096", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Lab. de Computacao Cientificas, Rio de Janeiro, Brazil", keywords = "analysis; approximation; approximation theory; backward differentiation; boundary value; boundary-value problems; convergence; differentiation; extrapolation; finite element; finite-element method; Galerkin; initial-value problem; linear system; Navier--Stokes equations; of numerical methods; problem; space discretisation; time stepping", treatment = "T Theoretical or Mathematical", } @Article{Jerome:1982:EEM, author = "Joseph W. Jerome and Michael E. Rose", title = "Error estimates for the multidimensional two-phase {Stefan} problem", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "377--414", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60 (65M05 65M10)", MRnumber = "84h:65097", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory); A4430 (Heat transfer in inhomogeneous media and through interfaces)", corpsource = "Dept. of Math., Northwestern Univ., Evanston, IL, USA", keywords = "approximation theory; approximations; convergence; convergence of numerical methods; differential equations; error analysis; Galerkin; heat transfer; multidimensional two-phase Stefan problem", treatment = "T Theoretical or Mathematical", } @Article{Paine:1982:CSL, author = "J. Paine", title = "Correction of {Sturm--Liouville} Eigenvalue Estimates", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "415--420", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L15", MRnumber = "84h:65082", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Computer Sci. Dept., Univ. of Bristol, Bristol, UK", keywords = "and eigenfunctions; approximation theory; coefficient function; correction; differential equations; eigenvalues; error; error analysis; function approximation; interpolation; piecewise constant interpolate; Sturm--Liouville Eigenvalue estimates; uniform approximation", treatment = "T Theoretical or Mathematical", } @Article{Markowich:1982:EPI, author = "Peter A. Markowich", title = "Eigenvalue Problems on Infinite Intervals", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "421--441", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "34B25", MRnumber = "84e:34037", MRreviewer = "A. Devinatz", 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 Texas, Austin, TX, USA", keywords = "and eigenfunctions; approximating problems; approximation theory; boundary value problems; boundary-value problems; convergence; differential equations; eigenvalues; infinite interval; of numerical methods; ordinary differential equations; spectral subspaces", treatment = "T Theoretical or Mathematical", } @Article{Jaccard:1982:ASO, author = "Yves Jaccard and Hugo Ev{\'e}quoz", title = "Approximation of the spectrum of an operator given by the magnetohydrodynamic stability of a plasma", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "443--452", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (76-08 76E25)", MRnumber = "84b:65113", MRreviewer = "Juhani Pitkar{\"a}nta", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A5230 (Plasma flow; magnetohydrodynamics); A5235P (Plasma instabilities)", corpsource = "Dept. de Math., Ecole Polytech., Federale de Lausanne, Lausanne, Switzerland", keywords = "approximation theory; convergence; convergence of numerical methods; dimensional model problem; eigenvalues; Galerkin approximation; magnetohydrodynamic stability; noncompact selfadjoint; operator; operator spectrum; plasma; plasma instability; plasma magnetohydrodynamics; subspaces; toroidal configuration; two-", treatment = "T Theoretical or Mathematical", } @Article{Bank:1982:AMI, author = "Randolph E. Bank and Donald J. Rose", title = "Analysis of a multilevel iterative method for nonlinear finite element equations", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "453--465", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65H10)", MRnumber = "83j:65105", MRreviewer = "Beny Neta", 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 = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of California, San Diego, CA, USA", keywords = "approximation theory; convergence of numerical methods; differential equations; discretised partial differential equations; equations; finite element analysis; globally convergent approximate Newton method; iterative methods; multilevel iterative method; nonlinear; nonlinear finite element; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Freilich:1982:NSS, author = "J. H. Freilich and E. L. Ortiz", title = "Numerical solution of systems of ordinary differential equations with the {Tau} method: an error analysis", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "467--479", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "84k:65066", MRreviewer = "P. M. Dew", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., Univ. of London, London, UK", keywords = "algebraic; analysis; approximation; approximation theory; differential equations; error; error analysis; function approximation; ordinary differential equations; polynomials; recursive formulation; Tau method; vector solution", treatment = "T Theoretical or Mathematical", } @Article{Gekeler:1982:LMM, author = "Eckart Gekeler", title = "Linear Multistep Methods for Stable Differential Equations $y^{..} = Ay + {B}(t) y^. c(t)$", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "481--490", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "83j:65074", 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); B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", keywords = "a; approximation; approximation theory; convergence of numerical methods; differential equations; error analysis; exponential multiplication factor; linear; matrix algebra; multistep methods; negative semidefinite matrix; priori error bounds; real symmetric matrix; stable differential equations", treatment = "T Theoretical or Mathematical", } @Article{Day:1982:TCI, author = "J. D. Day and D. N. P. Murthy", title = "Two classes of internally ${S}$-stable generalized {Runge--Kutta} processes which remain consistent with an inaccurate {Jacobian}", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "491--509", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L20", MRnumber = "84b:65080", MRreviewer = "W. H. Enright", 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); B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Mech. Engng., Univ. of Queensland, St. Lucia, Qld., Australia", keywords = "approximate Jacobian; approximation theory; consistency; convergence of numerical methods; differential equations; error analysis; error estimator; function evaluation; function evaluations; inaccurate Jacobian; internally S-stable generalized; matrix algebra; ordinary differential equations; Runge--Kutta methods; Runge--Kutta processes; stability; stiff systems", treatment = "T Theoretical or Mathematical", } @Article{Gladwin:1982:OIM, author = "C. J. Gladwin", title = "On optimal integration methods for {Volterra} integral equations of the first kind", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "511--518", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (45D05 45L10)", MRnumber = "83k:65099", MRreviewer = "John M. Bownds", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290R (Integral equations); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Communications Res. Centre, Ottawa, Ont., Canada", keywords = "consistency; convergence of numerical methods; first kind; free; integral equations; integration; l/sub 2/-norm; minimisation; nonsingular Volterra integral equations; optimal integration methods; optimisation; parameters; polynomial; polynomials; stability", treatment = "T Theoretical or Mathematical", } @Article{Graham:1982:GMS, author = "Ivan G. Graham", title = "{Galerkin} methods for second kind integral equations with singularities", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "519--533", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (45E05 45L10)", MRnumber = "84d:65090", MRreviewer = "P. M. Anselone", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Univ. of Melbourne, Parkville, Vic., Australia", keywords = "approximation; approximation theory; arbitrary; convergence; convergence of numerical methods; Fredholm; inhomogeneous; integral equations; iterated Galerkin methods; iterative methods; quasiuniform meshes; second kind integral equations; splines; splines (mathematics); terms; weakly singular kernels", treatment = "T Theoretical or Mathematical", } @Article{Lax:1982:EFI, author = "M. Lax and G. P. Agrawal", title = "Evaluation of {Fourier} integrals using ${B}$-splines", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "535--548", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30 (42A15 65R10)", MRnumber = "83i:65021", MRreviewer = "Robert Piessens", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0230 (Integral transforms); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C1130 (Integral transforms); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Phys. Dept., City Coll., City Univ., New York, NY, USA", keywords = "B-spline; continuous Fourier transform; discrete transform method; fast Fourier transform; finite Fourier integrals; fit; Fourier transforms; integration; possibly nonuniform mesh; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Sugihara:1982:NHM, author = "Masaaki Sugihara and Kazuo Murota", title = "A note on {Haselgrove}'s method for numerical integration", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "549--554", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30", MRnumber = "84f:65020", MRreviewer = "T. N. L. Patterson", 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 = "Dept. of Math. Engng., Univ. of Tokyo, Tokyo, Japan", keywords = "d-; dimensional cubature formulae; H.; Haselgrove's method; integrand functions; integration; Niederreiter; numerical integration; weights", treatment = "T Theoretical or Mathematical", } @Article{Jager:1982:SCN, author = "H. Jager", title = "On the speed of convergence of the nearest integer continued fraction", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "555--558", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10K10", MRnumber = "83k:10094", MRreviewer = "W. W. Adams", 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 = "Math. Inst. Univ. van Amsterdam, Amsterdam, Netherlands", keywords = "approximation theory; convergence; convergence of numerical methods; ergodicity; integer continued fraction expansion; nearest; number theory; regular continued fraction expansion; shift operator; W. N. Adams", treatment = "T Theoretical or Mathematical", } @Article{VanderVorst:1982:GLS, author = "H. A. {Van der Vorst}", title = "A generalized {L{\'a}nczos} scheme", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "559--561", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F15", MRnumber = "84h:65039", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Theory/Matrix.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Acad. Computer Centrum, Utrecht, Netherlands", keywords = "eigenvalue problems; eigenvalues and eigenfunctions; generalized; Lanczos scheme; matrix algebra; skew-symmetric matrices", kwds = "nla, Lanczos algorithm", treatment = "T Theoretical or Mathematical", } @Article{Ziv:1982:RDE, author = "Abraham Ziv", title = "Relative distance---an error measure in round-off error analysis", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "563--569", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65G05", MRnumber = "83k:65035", MRreviewer = "H.-J. Rack", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C1160 (Combinatorial mathematics); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "IBM Israel Sci. Center, Technion City, Haifa, Israel", keywords = "approximation; approximation theory; error; error analysis; function; linear normed spaces; matrix; measure; number theory; real numbers; relative distance; relative error; relative precision; round-off error analysis; vector", treatment = "T Theoretical or Mathematical", } @Article{Chow:1982:UBA, author = "Jeff Chow", title = "On the Uniqueness of Best ${L}_2\lbrack 0, 1 \rbrack$ Approximation by Piecewise Polynomials with Variable Breakpoints", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "571--585", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A15", MRnumber = "83j:41009", MRreviewer = "Allan Pinkus", 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 = "Univ. of California, Los Alamos Nat. Lab., Los Alamos, NM, USA", keywords = "approximation theory; best L/sub 2/(0,1) approximation; eventual; function approximation; nonuniqueness; piecewise; polynomials; uniqueness; variable breakpoints", treatment = "T Theoretical or Mathematical", } @Article{Gabutti:1982:AMP, author = "B. Gabutti and J. N. Lyness", title = "An acceleration method for the power series of entire functions of order $1$", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "587--597", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65B10 (30B10)", MRnumber = "83j:65011", MRreviewer = "Claude Brezinski", 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 = "Istituto di Calcoli Numerici, Univ. di Torino, Torino, Italy", keywords = "acceleration method; convergence of numerical methods; entire functions; expansion; function approximation; order 1; power series", treatment = "T Theoretical or Mathematical", } @Article{Grothkopf:1982:CCP, author = "U. Grothkopf and G. Opfer", title = "Complex {Chebyshev} polynomials on circular sectors with degree six or less", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "599--615", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "30E10 (65D20)", MRnumber = "84a:30070", MRreviewer = "Jack Williams", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Appl. Math., Hamburg, West Germany", keywords = "absolute maxima; Chebyshev approximation; circular sectors; coefficients; complex Chebyshev polynomials; critical angles; finite linear programming; infinite linear programming; linear programming; Newton's method; polynomials; semi-", treatment = "T Theoretical or Mathematical", } @Article{Wills:1982:RCA, author = "C. A. Wills and J. M. Blair and P. L. Ragde", title = "Rational {Chebyshev} approximations for the {Bessel} functions ${J}_{0}(x)$, ${J}_{1}(x)$, ${Y}_{0}(x)$, ${Y}_{1}(x)$", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "617--623", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20 (33A40 41A50)", MRnumber = "83j:65030", MRreviewer = "C. W. Clenshaw", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "AEG Ltd., Chalk River Nuclear Labs., Ont., Canada", keywords = "approximations; Bessel functions; Chebyshev; Chebyshev approximation; formulae; McMahon asymptotic; minimax techniques; near-minimax rational approximation", treatment = "T Theoretical or Mathematical", } @Article{Lassey:1982:CCI, author = "Keith R. Lassey", title = "On the computation of certain integrals containing the modified {Bessel} function ${I}_{0}(\xi )$", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "625--637", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20", MRnumber = "83j:65029", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Inst. of Nuclear Sci., DSIR, Lower Hutt, New Zealand", keywords = "approximation; approximation theory; convergence of numerical methods; convergent series; function; function approximation; integration; limiting behaviour; modified Bessel; numerical integration; one-dimensional integrals; two-dimensional integrals", treatment = "T Theoretical or Mathematical", } @Article{Cruz:1982:ZHF, author = "Andr{\'e}s Cruz and Javier Sesma", title = "Zeros of the {Hankel} function of real order and of its derivative", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "639--645", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A40", MRnumber = "83j:33005", MRreviewer = "S. Ahmed", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Fisica Teorica, Univ. de Zaragoza, Zaragoza, Spain", keywords = "approximation; derivative; evaluation; function approximation; function evaluation; Hankel function; poles and zeros; real order; trajectories; zeros", treatment = "T Theoretical or Mathematical", } @Article{Kolbig:1982:CE, author = "K. S. K{\"o}lbig", title = "Closed Expressions for $\int^1_0 t^{-1} \log^{n-1}t \log^p(1 - t) dt$", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "647--654", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A70 (33-04)", MRnumber = "83k:33027", MRreviewer = "I. John Zucker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/red-g-l.bib; Theory/Comp.Alg.1.bib; Theory/reduce.bib; JSTOR database", acknowledgement = ack-nhfb, annote = "Closed form of integral for easy calculation. Used REDUCE for manipulations. This class includes dilog, Spence functions etc. Remarks that REDUCE is easier than FORTRAN.", classcodes = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", comment = "Closed form of integral for easy calculation. Used {REDUCE} for manipulations. This class includes dilog, Spence functions etc. Remarks that {REDUCE} is easier than {FORTRAN}.", corpsource = "CERN, Geneva, Switzerland", keywords = "closed expressions; computer; formula manipulation; integral; integration; Reduce", treatment = "T Theoretical or Mathematical", } @Article{Murray:1982:FF, author = "Francis J. Murray", title = "Formulas for Factorial ${N}$", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "655--662", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A15 (39A70 41A60)", MRnumber = "83j:33002", MRreviewer = "H. E. Fettis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Duke Univ., Durham, NC, USA", keywords = "approximation theory; asymptotic series; Burnside's formula; convergence of numerical methods; convergent series; divergent series; error analysis; error estimates; factorial N; Stirling's formula", treatment = "T Theoretical or Mathematical", } @Article{Butler:1982:CPMa, author = "Gregory Butler and John J. Cannon", title = "Computing in Permutation and Matrix Groups. {I}. Normal Closure, Commutator Subgroups, Series", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "663--670", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20-04 (20F14 20G40)", MRnumber = "83k:20004a", MRreviewer = "J. D. Dixon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Math/algebra.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., McGill Univ., Montreal, Que., Canada", keywords = "algorithms; base and strong generating set of, normal closure, series; central series; closures; commutator subgroups; computation; derived series; elementary operations; group theory; lower central series; matrix algebra; matrix groups; normal; permutation groups; permutation groups, matrix groups; upper", reviews = "MR 83k:20004a (J. D. Dixon), Zbl 552.20004", treatment = "T Theoretical or Mathematical", } @Article{Butler:1982:CPMb, author = "Gregory Butler and John J. Cannon", title = "Computing in permutation and matrix groups. {II}. {Backtrack} algorithm", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "671--680", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20-04 (20E25 20G40)", MRnumber = "83k:20004b", MRreviewer = "J. D. Dixon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Math/algebra.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0290H (Linear algebra); C1110 (Algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., McGill Univ., Montreal, Que., Canada", keywords = "backtrack algorithm; backtrack through stabilizer chain; centralisers; computation; conjugate elements; group theory; intersections; matrix algebra; matrix groups; permutation groups; permutation groups, matrix groups; set stabilisers", reviews = "MR 83k:20004b (J. D. Dixon), Zbl 552.20003 (see Zbl 552.20004 for a review of this article)", treatment = "T Theoretical or Mathematical", } @Article{Brent:1982:ZRZ, author = "R. P. Brent and J. {van de Lune} and H. J. J. {te Riele} and D. T. Winter", title = "On the zeros of the {Riemann} zeta function in the critical strip. {II}", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "681--688", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10H05 (10-04 30-04)", MRnumber = "83m:10067", MRreviewer = "J{\"u}rgen G. Hinz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Dept. of Computer Sci., Australian Nat. Univ., Canberra, ACT, Australia", keywords = "critical strip; failures of Rosser's rule; function evaluation; functions; Gram blocks; poles and zeros; Riemann zeta function; zeros", treatment = "T Theoretical or Mathematical", } @Article{Llorente:1982:RCF, author = "P. Llorente and A. V. Oneto", title = "On the Real Cubic Fields", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "689--692", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A30 (12-04)", MRnumber = "84f:12002", MRreviewer = "Kurt Girstmair", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Univ. del Zulia, Maracaibo, Venezuela", keywords = "class numbers; coefficients; cubic fields; discriminant; generating; index; nonconjugate {nonAbelian}; number theory; polynomial; polynomials; real cubic fields", treatment = "T Theoretical or Mathematical", } @Article{vanderLinden:1982:CNC, author = "F. J. {van der Linden}", title = "Class Number Computations of Real {Abelian} Number Fields", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "693--707", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A50 (12A35)", MRnumber = "84e:12005", MRreviewer = "F. Diaz y Diaz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Univ. van Amsterdam, Amsterdam, Netherlands", keywords = "A. M. Odlyzko; class numbers; discriminant bounds; generalised Riemann; hypothesis; J. M. Masley; number theory; real abelian number fields", treatment = "T Theoretical or Mathematical", } @Article{Zagier:1982:NMN, author = "Don Zagier", title = "On the number of {Markoff} numbers below a given bound", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "709--723", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10F20 (10A20 10B10)", MRnumber = "83k:10062", MRreviewer = "Richard T. Bumby", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); B0290B (Error analysis in numerical methods); C1160 (Combinatorial mathematics); C4110 (Error analysis in numerical methods)", corpsource = "Univ. Bonn, Bonn, West Germany", keywords = "Diophantine equation; error analysis; error bounds; indefinite quadratic forms; lattice points; Markoff numbers; number theory; triangles", treatment = "T Theoretical or Mathematical", } @Article{Hudson:1982:CNF, author = "Richard H. Hudson and Kenneth S. Williams", title = "Class Number Formulae of {Dirichlet} Type", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "725--732", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A50 (12A25)", MRnumber = "84b:12013", MRreviewer = "Harvey Cohn", 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. Statistics, Univ. of South Carolina, Columbia, SC, USA", keywords = "class number formulae; Dirichlet type; number theory", treatment = "T Theoretical or Mathematical", } @Article{Brillhart:1982:TEN, author = "John Brillhart", title = "Table errata: {{``New primality criteria and factorizations of $2^{m}\pm and 1$''} {[Math. Comp. {\bf 29} (1975), 620--647 and D. H. Lehmer MR {\bf 52} \#5546] by the author and J. L. Selfridge}}", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "747--747", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "83j:10010", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{vanHaeringen:1982:TET, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Table of integrals, series, and products} [corrected and 1980 {enlarged edition, Academic Press, New York} and MR 81g:33001] by {I. S}. Gradshteyn [{I. S}. Gradshte{\u{\i}}n] and {I. M}. Ryzhik}", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "747--757", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33-01 (65A05)", MRnumber = "83j:33001", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Shanks:1982:CHC, author = "Daniel Shanks", title = "Corrigendum: {H. C. Williams, {``Some primes with interesting digit patterns''} [Math. Comp. {\bf 32} (1978), no. 144, 1306--1310, MR {\bf 58} \#484]}", journal = j-MATH-COMPUT, volume = "39", number = "160", pages = "759--759", month = oct, year = "1982", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A30", MRnumber = "83k:10013", bibdate = "Wed Jan 15 08:49:25 1997", acknowledgement = ack-nhfb, } @Article{Michelson:1983:STD, author = "Daniel Michelson", title = "Stability theory of difference approximations for multidimensional initial-boundary value problems", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "1--45", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10", MRnumber = "84d:65068", MRreviewer = "G. I. Sulkhanishvili", 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 California, Los Angeles, CA, USA", keywords = "algebra; approximation theory; boundary value problems; Cauchy problem; convergence of numerical methods; difference approximations; difference equations; dissipative; dissipative difference approximations; function approximation; hyperbolic differential problem; initial value; multidimensional initial-; operators; partial differential equations; problems; pseudo-difference; stability theory; variable coefficients; weakly", treatment = "T Theoretical or Mathematical", } @Article{Schatz:1983:FEM, author = "A. H. Schatz and L. B. Wahlbin", title = "On the finite element method for singularly perturbed reaction-diffusion problems in two and one dimensions", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "47--89", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "84c:65137", MRreviewer = "Rolf Rannacher", 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., Cornell Univ., Ithaca, NY, USA", keywords = "analysis; approximation theory; boundary-value problems; equations; error; finite element analysis; finite element method; Galerkin; one dimension; partial differential; problem; reaction-diffusion problems; second-order; second-order elliptic boundary-value problems; singularly perturbed; two dimensions; zero order equations", treatment = "T Theoretical or Mathematical", } @Article{Sanders:1983:CMF, author = "Richard Sanders", title = "On convergence of monotone finite difference schemes with variable spatial differencing", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "91--106", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M05 (65M10 65M15)", MRnumber = "84a:65075", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Douglas:1983:ITD, author = "Jim {Douglas, Jr.} and Mary Fanett Wheeler", key = "Douglas \& Wheeler", title = "Implicit, Time-dependent Variable Grid Finite Difference Methods for the Approximation of a Linear Waterflood", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "107--121", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (35L65)", MRnumber = "84a:65078", MRreviewer = "Alain Yves le Roux", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/Multi.bib", acknowledgement = ack-nhfb, } @Article{Markowich:1983:CMB, author = "Peter A. Markowich and Christian A. Ringhofer", title = "Collocation methods for boundary value problems on {``long''} intervals", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "123--150", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10 (65D07)", MRnumber = "84d:65053", MRreviewer = "Robert D. Russell", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Chen:1983:SEE, author = "Goong Chen and Wendell H. {Mills, Jr.} and Shun Hua Sun and David A. Yost", title = "Sharp error estimates for a finite element-penalty approach to a class of regulator problems", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "151--173", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65K10 (49D30)", MRnumber = "84b:65061", MRreviewer = "B. T. Polyak", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Cash:1983:BRKa, author = "J. R. Cash", title = "Block {Runge--Kutta} Methods for the Numerical Integration of Initial Value Problems in Ordinary Differential Equations. Part {I}. The Nonstiff Case", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "175--191", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "84d:65044a", MRreviewer = "W. C. Rheinboldt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", keywords = "approximate numerical integration; approximation theory; block implicit formulae; block Runge--Kutta formulae; C. W. Gear; differential equations; equations; first order; formulae; initial value; initial value problems; integration; linear multistep methods; nonstiff problems; order; ordinary differential; problems; Runge--Kutta methods; Runge--Kutta starters; stepsize; stiff problems; systems; variable order; variable order block explicit", treatment = "T Theoretical or Mathematical", } @Article{Cash:1983:BRKb, author = "J. R. Cash", title = "Block {Runge--Kutta} Methods for the Numerical Integration of Initial Value Problems in Ordinary Differential Equations. Part {II}. The Stiff Case", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "193--206", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "84d:65044b", MRreviewer = "W. C. Rheinboldt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", keywords = "approximate numerical integration; approximation theory; block Runge--Kutta formulae; diagonally; differential equations; formulae; implicit Runge--Kutta formulae; initial value; integration; ordinary differential equations; problems; Runge--Kutta methods; stiff differential systems; variable order block explicit", treatment = "T Theoretical or Mathematical", } @Article{Cooper:1983:ARK, author = "G. J. Cooper and A. Sayfy", title = "Additive {Runge--Kutta} methods for stiff ordinary differential equations", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "207--218", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05", MRnumber = "84b:65066", MRreviewer = "W. H. Enright", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "School of Math. and Phys. Sci., Univ. of Sussex, Brighton, UK", keywords = "A-stable method; additive methods; convergence of numerical methods; differential equations; explicit method; LU factorisation; matrix; matrix algebra; ordinary differential equations; pairs of methods; perturbed linear differential equations; Runge--Kutta methods; semiexplicit method; stability property; stiff", treatment = "T Theoretical or Mathematical", } @Article{Axelsson:1983:PTL, author = "O. Axelsson and I. Gustafsson", title = "Preconditioning and two-level multigrid methods of arbitrary degree of approximation", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "219--242", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N50 (65N30)", MRnumber = "84i:65104", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, } @Article{Lucas:1983:PII, author = "Thomas R. Lucas", title = "A posteriori improvements for interpolating periodic splines", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "243--251", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A15 (65D07)", MRnumber = "84i:41015", MRreviewer = "E. Neuman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Nielson:1983:MIS, author = "Gregory M. Nielson", title = "A method for interpolating scattered data based upon a minimum norm network", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "253--271", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D05 (41A05 65D07)", MRnumber = "85b:65007", MRreviewer = "B. I. Kvasov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Graphics/siggraph/83.bib", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Arizona State Univ., Tempe, AZ, USA", keywords = "algorithms; bivariate function; continuous first order partial; curve network; derivatives; domain; function approximation; interpolation; minimum; minimum norm; network; pseudonorm properties; scattered data; triangulation", treatment = "T Theoretical or Mathematical", } @Article{Levin:1983:ACD, author = "Moshe Levin", title = "On the Approximate Calculation of Double Integrals", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "273--282", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D32 (41A55 65D30)", MRnumber = "84c:65051", MRreviewer = "S. Dubuc", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "School of Math. Sci., Tel-Aviv. Univ., Tel-Aviv, Israel", keywords = "approximate calculation; approximation theory; asymptotically optimal formulae; cubature formulae; double integrals; formulae; function approximation; functions; integration; line integrals; quadrature; rectangular-lattices of knots", treatment = "T Theoretical or Mathematical", } @Article{Mityagin:1983:QPL, author = "Boris Mityagin", title = "Quadratic pencils and least-squares piecewise-polynomial approximation", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "283--300", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A15 (47A68)", MRnumber = "84c:41006", MRreviewer = "Klaus H{\"o}llig", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Wolkenfelt:1983:MMM, author = "P. H. M. Wolkenfelt", title = "Modified multilag methods for {Volterra} functional equations", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "301--316", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20", MRnumber = "84c:65158", MRreviewer = "Sean McKee", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lucia:1983:EQN, author = "Angelo Lucia", title = "An explicit {quasi-Newton} update for sparse optimization calculations", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "317--322", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65K05", MRnumber = "83k:65052", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Cybenko:1983:GOT, author = "George Cybenko", title = "A general orthogonalization technique with applications to time series analysis and signal processing", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "323--336", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F25 (62M20)", MRnumber = "84a:65032", MRreviewer = "N. N. Abdelmalek", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Gautschi:1983:CBC, author = "Walter Gautschi", title = "On the convergence behavior of continued fractions with real elements", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "337--342", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "40A15 (33A15)", MRnumber = "84i:40001", MRreviewer = "Kh. {\u{I}}. Kuchm{\=\i}ns{\'k}a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Coleman:1983:CEB, author = "J. P. Coleman and A. J. Monaghan", title = "{Chebyshev} expansions for the {Bessel} function ${J}_{n}(z)$ in the complex plane", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "343--366", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05 (30E10 33A40 65D20)", MRnumber = "84c:65013", MRreviewer = "C. W. Clenshaw", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Arscott:1983:NCE, author = "F. M. Arscott and P. J. Taylor and R. V. M. Zahar", title = "On the numerical construction of ellipsoidal wave functions", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "367--380", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20 (33A60 65H10 65P05)", MRnumber = "83k:65015", MRreviewer = "Walter Gautschi", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Jaeschke:1983:SSA, author = "G. Jaeschke", title = "On the smallest $k$ such that all $k\cdot 2^{n}+1$ are composite", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "381--384", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "84k:10006", MRreviewer = "Anthony A. Gioia", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Wagstaff:1983:DMN, author = "Samuel S. {Wagstaff, Jr.}", title = "Divisors of {Mersenne} Numbers", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "385--397", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10H15 (10-04 10A25)", MRnumber = "84j:10052", MRreviewer = "Jack P. Tull", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Hagis:1983:SPO, author = "Peter {Hagis, Jr.}", title = "Sketch of a proof that an odd perfect number relatively prime to $3$ has at least eleven prime factors", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "399--404", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11A25 (11-04)", MRnumber = "85b:11004", MRreviewer = "Masao Kishore", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kishore:1983:OPN, author = "Masao Kishore", title = "Odd Perfect Numbers Not Divisible by $3$. {II}", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "405--411", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A20", MRnumber = "84d:10009", MRreviewer = "Harvey Cohn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Chen:1983:TEM, author = "T. Charles Chen", title = "Table errata: {{\em Methods of numerical integration} [Academic Press, New York, 1975, MR {\bf 56} \#7119] by P. J. Davis and P. Rabinowitz}", journal = j-MATH-COMPUT, volume = "40", number = "161", pages = "417--417", month = jan, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30", MRnumber = "83m:65019", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Baker:1983:CGA, author = "Garth A. Baker and Vassilios A. Dougalis and Ohannes A. Karakashian", title = "Convergence of {Galerkin} approximations for the {Korteweg-de Vries} equation", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "419--433", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60 (65M10)", MRnumber = "84f:65072", MRreviewer = "J. Ll. Morris", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis)", keywords = "(mathematics); approximation theory; convergence of numerical methods; extrapolation; fully discrete; Galerkin approximations; iterative methods; Korteweg-de Vries equation; l-; Newton iteration; nonlinear differential equations; optimal rate of convergence estimates; periodic solutions; schemes; second order in time; semidiscrete schemes; smooth splines; splines; uniform mesh", treatment = "T Theoretical or Mathematical", } @Article{Rose:1983:NMF, author = "Michael E. Rose", title = "Numerical methods for flows through porous media. {I}", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "435--467", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60 (76S05)", MRnumber = "85a:65146", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0340G (Fluid dynamics: general mathematical aspects); A4755M (Flow through porous media)", corpsource = "Dept. of Maths., Tulane Univ., New Orleans, LA, USA", keywords = "continuous time; degenerate parabolic equation; discrete time; element procedures; error analysis; error estimates; finite; finite element analysis; flow through porous; flows; gas; media; partial differential equations; porous media; regularity", treatment = "T Theoretical or Mathematical", } @Article{LeVeque:1983:NMB, author = "Randall J. LeVeque and Joseph Oliger", title = "Numerical methods based on additive splittings for hyperbolic partial differential equations", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "469--497", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M05", MRnumber = "84c:65116", MRreviewer = "John C. Strikwerda", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Keast:1983:CSF, author = "P. Keast and G. Fairweather and J. C. Diaz", title = "A computational study of finite element methods for second order linear two-point boundary value problems", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "499--518", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10 (65N30 65N35)", MRnumber = "84c:65103", MRreviewer = "V. Pereyra", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra); C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Dept. of Computer Sci., Univ. of Toronto, Toronto, Ont., Canada", keywords = "algebra; almost block diagonal structure; B-spline basis; boundary-value problems; collocation; convergence; convergence of numerical methods; differential equations; families; finite element; finite element analysis; linear; linear algebraic equations; linear boundary conditions; methods; parameterised; piecewise; polynomial; polynomials; problems; second order linear two-point boundary value; separated boundary conditions; special purpose solver", treatment = "P Practical", } @Article{Smith:1983:PII, author = "William E. Smith and Ian H. Sloan and Alex H. Opie", title = "Product integration over infinite intervals. {I}. Rules based on the zeros of {Hermite} polynomials", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "519--535", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D32", MRnumber = "85a:65047", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Falk:1983:EEN, author = "Richard S. Falk", title = "Error estimates for the numerical identification of a variable coefficient", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "537--546", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N99 (65N30)", MRnumber = "84f:65085", MRreviewer = "E. G. D'yakonov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Iserles:1983:FFR, author = "A. Iserles and S. P. N{\o}rsett", title = "Frequency Fitting of Rational Approximations to the Exponential Function", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "547--559", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A20 (65L05)", MRnumber = "84b:41013", MRreviewer = "A. J. Rodrigues", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Glasser:1983:RPD, author = "M. L. Glasser", title = "A Remarkable Property of Definite Integrals", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "561--563", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "26A06 (26A42)", MRnumber = "84c:26003", MRreviewer = "G. A. Heuer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kolbig:1983:Ia, author = "K. S. K{\"o}lbig", title = "On the Integral $\int^{\pi/2}_0 \log^n \cos x \log^p \sin x dx$", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "565--570", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A35 (10H05)", MRnumber = "84d:33004", MRreviewer = "Anton Hut'a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Theory/Comp.Alg.1.bib; JSTOR database", acknowledgement = ack-nhfb, annote = "A formula is derived for the integral in the title which allows easy evaluation by formula manipulation on a computer.", classcodes = "C4160 (Numerical integration and differentiation)", corpsource = "CERN, Geneva, Switzerland", keywords = "computer; formula manipulation; integration; Reduce", treatment = "T Theoretical or Mathematical", } @Article{Adler:1983:BMT, author = "Andrew Adler", title = "On the Bisection Method for Triangles", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "571--574", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "51M15 (51M20 65L50 65N50)", MRnumber = "84d:51028", MRreviewer = "S. R. Mandan", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Ellacott:1983:CFS, author = "S. W. Ellacott", title = "Computation of {Faber} series with application to numerical polynomial approximation in the complex plane", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "575--587", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D15 (30B50 30E10 41A10)", MRnumber = "84e:65021", MRreviewer = "G. Opfer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Thron:1983:TEB, author = "W. J. Thron and Haakon Waadeland", title = "Truncation error bounds for limit periodic continued fractions", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "589--597", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "30B70 (41A45)", MRnumber = "84f:30009", MRreviewer = "L. J. Lange", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Streit:1983:NSI, author = "Roy L. Streit and Albert H. Nuttall", title = "A note on the semi-infinite programming approach to complex approximation", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "599--605", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "49D39 (30E10 90C05)", MRnumber = "84g:49059", MRreviewer = "H. Voigt", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Riley:1983:ACI, author = "Robert Riley", title = "Applications of a computer implementation of {Poincar{\'e}}'s theorem on fundamental polyhedra", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "607--632", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20H10 (11F06 20-04 22E40 51M20 57N10)", MRnumber = "85b:20064", MRreviewer = "William Harvey", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1110 (Algebra); C1160 (Combinatorial mathematics); C7310 (Mathematics computing)", corpsource = "Inst. for Advanced Study, Princeton, NJ, USA", keywords = "algebra; algebraic topology; algorithmically defined group; complex quadratic; computer; FORTRAN programs; fundamental polyhedra; group; half space model; hyperbolic 3-space; hyperbolic space; implementation; isometries; number field; Poincar{\'e}'s theorem; topology; upper", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Grayson:1983:OSK, author = "Matthew A. Grayson", title = "The orbit space of a {Kleinian} group: {Riley}'s modest example", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "633--646", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "20H10 (11F06 30F40 51M20 57M25)", MRnumber = "85b:20065", MRreviewer = "William Harvey", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Brady:1983:DVR, author = "Allen H. Brady", title = "The Determination of the Value of {Rado}'s Noncomputable Function ${\Sigma}(k)$ for Four-State {Turing} Machines", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "647--665", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "03D10 (03B35 03D15 68C30 68D20)", MRnumber = "84d:03049", MRreviewer = "Robert M. Baer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4120 (Functional analysis); C4220 (Automata theory); C4240 (Programming and algorithm theory); C7310 (Mathematics computing)", corpsource = "Dept. of Maths., Univ. of Nevada, Reno, NV, USA", keywords = "blank input tape halting problem; Busy Beaver; cellular automata; computability and decidability; evaluation; finite automata; four-; function; function evaluation; Game; heuristic level; proof techniques; Rado's noncomputable function; score; shift number; state Turing machines; Turing machines", } @Article{Gerver:1983:ISI, author = "Joseph L. Gerver", title = "Irregular sets of integers generated by the greedy algorithm", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "667--676", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10L20 (10H20)", MRnumber = "84d:10056", MRreviewer = "Jack P. Tull", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Evans:1983:TFP, author = "Ronald J. Evans", title = "Twenty-Fourth Power Residue Difference Sets", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "677--683", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12C20 (05B10 10G05 10L05)", MRnumber = "84e:12024", MRreviewer = "A. L. Whiteman", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Vaughan:1983:DQE, author = "Theresa P. Vaughan", title = "The discriminant of a quadratic extension of an algebraic field", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "685--707", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A50 (12A25)", MRnumber = "84e:12006", MRreviewer = "Harvey Cohn", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Wunderlich:1983:PAS, author = "M. C. Wunderlich", title = "A performance analysis of a simple prime-testing algorithm", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "709--714", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10A25 (10-04)", MRnumber = "84e:10011", MRreviewer = "R. G. Larson", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics); C7310 (Mathematics computing)", corpsource = "Dept. of Math. Sci., Northern Illinois Univ., Dekalb, IL, USA", keywords = "algorithm; down; empirical performance analysis; number theory; prime-proving program; recursive characteristics", treatment = "P Practical", } @Article{Schwindt:1983:TSC, author = "H. Schwindt", title = "Three Summation Criteria for {Fermat's Last Theorem}", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "715--716", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10-04 (10B15)", MRnumber = "84b:10003", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Smith:1983:TEH, author = "John M. Smith", title = "Table errata: {{\em Handbook of mathematical functions with formulas, graphs and mathematical tables} [Nat. Bur. Standards, Washington, D.C., 1964 and MR {\bf 29} \#4914].}", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "723--724", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05 (00A22)", MRnumber = "84e:65008", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Keller:1983:CPF, author = "Wilfred Keller", title = "Corrigendum: {{``Primes of the form $n!\pm 1$ and $2\cdot 3\cdot 5\cdots p\pm 1$''} {[Math. Comp. {\bf 38} (1982), no. 158, 639--643 and MR 83c:10006] by J. P. Buhler, R. E. Crandall and M. A. Penk}}", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "727--727", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y11 (11A07 11A41)", MRnumber = "85b:11119", bibdate = "Wed Jan 15 08:51:30 1997", acknowledgement = ack-nhfb, } @Article{Sloan:1983:BCF, author = "D. M. Sloan", title = "Boundary conditions for a fourth order hyperbolic difference scheme", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "1--11", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10", MRnumber = "85a:65142", MRreviewer = "Vassilios A. Dougalis", 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., Univ. of Strathclyde, Glasgow, UK", keywords = "accuracy; boundary conditions; boundary errors; fourth order hyperbolic difference; partial differential equations; scheme; stability", treatment = "T Theoretical or Mathematical", } @Article{Li:1983:SHC, author = "Zi Cai Li and Guo Ping Liang", title = "On the Simplified Hybrid-Combined Method", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "13--25", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "84g:65152", MRreviewer = "C. Phillips", 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 Computer Sci., Univ. of Toronto, Toronto, Ont., Canada", keywords = "algebraic equation system; boundary value problems; boundary-value problems; differential equations; element analysis; elliptic equations; finite; finite element methods; optimal error; Ritz-Galerkin method; simplified hybrid-combined method; singularities; unbounded domains", treatment = "T Theoretical or Mathematical", } @Article{Crisci:1983:EOR, author = "M. R. Crisci and E. Russo", title = "An extension of {Ortiz}' recursive formulation of the tau method to certain linear systems of ordinary differential equations", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "27--42", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05 (65L07)", MRnumber = "85b:65061", MRreviewer = "W. H. Enright", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Istituto di Matematica, Univ. di Napoli, Napoli, Italy", keywords = "differential equations; linear systems; numerical solution; ordinary differential equations; Ortiz' recursive formulation; polynomial coefficients; Tau method", treatment = "T Theoretical or Mathematical", } @Article{McCormick:1983:UMS, author = "S. F. McCormick and J. W. Ruge", title = "Unigrid for Multigrid Simulation", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "43--62", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N20 (65F10 65N50)", MRnumber = "84g:65146", MRreviewer = "Randall J. LeVeque", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Parallel/mgnet.bib; Parallel/Multi.grid.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Colorado State Univ., Fort Collins, CO, USA", keywords = "boundary value problems; boundary-value problems; fine grid approximation; multigrid simulation; partial differential equations; software tool; unigrid", treatment = "T Theoretical or Mathematical", } @Article{Rabinowitz:1983:GKI, author = "Philip Rabinowitz", title = "{Gauss--Kronrod} integration rules for {Cauchy} principal value integrals", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "63--78", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30", MRnumber = "84i:65029", MRreviewer = "T. H. Lim", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel", keywords = "Cauchy; Gauss--Kronrod integration rules; integral equations; polynomials; principal value integrals", treatment = "T Theoretical or Mathematical", } @Article{Ioakimidis:1983:FCR, author = "N. I. Ioakimidis", title = "Further convergence results for the weighted {Galerkin} method of numerical solution of {Cauchy-type} singular integral equations", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "79--85", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (45E05 45L10)", MRnumber = "84g:65164", MRreviewer = "P. Linz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "School of Engng., Univ. of Patras, Patras, Greece", keywords = "Cauchy-type singular integral equations; convergence; finite; integral equations; interval; numerical solution; polynomials; sufficiently weak continuity assumptions; weighted Galerkin method", treatment = "T Theoretical or Mathematical", } @Article{Lubich:1983:RKT, author = "Ch. Lubich", title = "{Runge--Kutta} theory for {Volterra} and {Abel} integral equations of the second kind", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "87--102", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20", MRnumber = "85a:65178", MRreviewer = "Syvert P. N{\o}rsett", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. fur Angewandte Math., Univ. Heidelberg, Heidelberg, West Germany", keywords = "Abel; exact solutions; integral equations; Runge--Kutta methods; Runge--Kutta theory; smoothness properties; Volterra integral equations; weakly singular", treatment = "T Theoretical or Mathematical", } @Article{Lund:1983:SFQ, author = "John Lund", title = "Sinc function quadrature rules for the {Fourier} integral", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "103--113", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30", MRnumber = "85b:65018", MRreviewer = "A. Lupa{\c{s}}", 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. Sci., Montana State Univ., Bozeman, MT, USA", keywords = "conformal map; Fourier transforms; numerical algorithm; numerical analysis; sinc function quadrature rules; Whittaker cardinal function expansion", treatment = "T Theoretical or Mathematical", } @Article{Haber:1983:PIP, author = "Seymour Haber", title = "Parameters for integrating periodic functions of several variables", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "115--129", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D32 (41A55)", MRnumber = "85g:65033", MRreviewer = "I. P. Mysovskikh", 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 = "Center for Appl. Math., NBS, Washington, DC, USA", keywords = "error bounds; functions; number-theoretical method; numerical integration; numerical methods; numerical parameters; periodic", treatment = "T Theoretical or Mathematical", } @Article{Chui:1983:SMS, author = "Charles K. Chui and Ren Hong Wang", title = "On Smooth Multivariate Spline Functions", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "131--142", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A15 (41A63)", MRnumber = "84f:41011", MRreviewer = "Klaus H{\"o}llig", 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., Texas A and M Univ., College Station, TX, USA", keywords = "approximation; cross-cut grid; function approximation; interpolation; partitions; smooth multivariate spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Dahmen:1983:LIM, author = "Wolfgang A. Dahmen and Charles A. Micchelli", title = "On the linear independence of multivariate ${B}$-splines. {II}. Complete configurations", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "143--163", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A15 (65D07)", MRnumber = "85c:41016b", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Fakultat fur Math., Univ. Bielefeld, Bielefeld, West Germany", keywords = "characterizations; combinatorial criteria; global; knot sets; linear independence; multivariate B-splines; smooth piecewise polynomials; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Dyn:1983:NSE, author = "Nira Dyn and Warren E. {Ferguson, Jr.}", title = "The numerical solution of equality constrained quadratic programming problems", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "165--170", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "90C20", MRnumber = "85b:90051", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "School of Math. Sci., Tel-Aviv Univ., Tel-Aviv, Israel", keywords = "constrained; equality constraints; equality-constrained quadratic; iterative schemes; linear; minimisation; minimization problem; numerical solution; programming problems; quadratic functional subject; quadratic programming", treatment = "T Theoretical or Mathematical", } @Article{Kolbig:1983:Ib, author = "K. S. K{\"o}lbig", title = "On the Integral $\int^\infty_0 e^{-\mu t}t^{\nu - 1} \log^m t dt$", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "171--182", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A70 (33A15 44A10 80A99)", MRnumber = "84h:33021", MRreviewer = "H. E. Fettis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Theory/Comp.Alg.1.bib; JSTOR database", acknowledgement = ack-nhfb, annote = "A recurrence relation is given for the integral in the title.", classcodes = "B0230 (Integral transforms); C1130 (Integral transforms)", corpsource = "CERN, Geneva, Switzerland", keywords = "half-; integer; integer values; integral transforms; recurrence relation; Reduce; transforms", treatment = "T Theoretical or Mathematical", } @Article{McCabe:1983:QDA, author = "J. H. McCabe", title = "The quotient-difference algorithm and the {Pad{\'e}} table: an alternative form and a general continued fraction", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "183--197", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "30B70 (10A30 10F20 41A21)", MRnumber = "84k:30008", MRreviewer = "A. Magnus", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Univ. of St. Andrews, St. Andrews, Fife, UK", keywords = "approximation theory; fraction; general continued; Pad{\'e} approximants; Pad{\'e} table; power series; quotient-difference algorithm; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Lubinsky:1983:LZO, author = "D. S. Lubinsky and A. Sharif", title = "On the largest zeroes of orthogonal polynomials for certain weights", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "199--202", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "42C05 (33A65)", MRnumber = "84f:42015", MRreviewer = "T. S. Chihara", 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., Inst. of Technol., Haifa, Israel", keywords = "asymptotic growth; largest zeroes; orthogonal polynomials; poles and zeros; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Benton:1983:CZT, author = "T. C. Benton", title = "Common Zeros of Two {Bessel} Functions. Part {II}. Approximations and Tables", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "203--217", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A40 (65A05)", MRnumber = "85a:33010", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Math., Pennsylvania State Univ., University Park, PA, USA", keywords = "Bessel functions; computer program; poles and zeros", treatment = "T Theoretical or Mathematical", } @Article{Rall:1983:RIO, author = "L. B. Rall", title = "Representations of intervals and optimal error bounds", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "219--227", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65G10 (41A50)", MRnumber = "84g:65057", MRreviewer = "H. Ratschek", 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 = "Math. Res. Center, Univ. of Wisconsin-Madison, Madison, WI, USA", keywords = "absolute; error; error analysis; geometric means; harmonic; interval analysis; interval arithmetic; numerical analysis; optimal error bounds; relative error; relative precision", treatment = "T Theoretical or Mathematical", } @Article{Gerth:1983:AMF, author = "Frank {Gerth, III}", title = "An application of matrices over finite fields to algebraic number theory", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "229--234", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11R29 (11R21 15A33)", MRnumber = "85b:11094", MRreviewer = "Alan Candiotti", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math., Univ. of Texas, Austin, TX, USA", keywords = "algebraic number; finite fields; matrices application; matrix algebra; number theory; p-class group; theory", treatment = "T Theoretical or Mathematical", } @Article{Williams:1983:RME, author = "H. C. Williams and G. W. Dueck and B. K. Schmid", title = "A rapid method of evaluating the regulator and class number of a pure cubic field", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "235--286", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A50 (12-04 12A30 12A45)", MRnumber = "84m:12010", MRreviewer = "Charles J. Parry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", keywords = "algebraic number; class number; continued fraction algorithm; field; integral equations; negative discriminant; positive integer; pure cubic field; regulator; Voronoi algorithm", treatment = "T Theoretical or Mathematical", } @Article{Gerver:1983:FLN, author = "Joseph L. Gerver", title = "Factoring Large Numbers with a Quadratic Sieve", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "287--294", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y05 (11-04 11N35)", MRnumber = "85c:11122", MRreviewer = "M. C. Wunderlich", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Dept. of Math., Rutgers Univ., Camden, NJ, USA", keywords = "47-digit number; CFEA; continued fraction; quadratic programming; quadratic sieve", treatment = "T Theoretical or Mathematical", } @Article{Schoof:1983:CGC, author = "R. J. Schoof", title = "Class Groups of Complex Quadratic Fields", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "295--302", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A25 (12-04 12A50 14K07)", MRnumber = "84h:12005", MRreviewer = "F. Diaz y Diaz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Seah:1983:CLC, author = "Eric Seah and Lawrence C. Washington and Hugh C. Williams", title = "The calculation of a large cubic class number with an application to real cyclotomic fields", journal = j-MATH-COMPUT, volume = "41", number = "163", pages = "303--305", month = jul, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12A50 (12-04 12A35)", MRnumber = "84m:12008", MRreviewer = "Charles J. Parry", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{vanHaeringen:1983:TEHa, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Higher transcendental functions, Vol. I} [McGraw-Hill, New York, 1955, F. Oberhettinger, MR {\bf 16}, 586] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "778--779", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33-XX", MRnumber = "84m:33001a", bibdate = "Wed Jan 15 08:53:07 1997", acknowledgement = ack-nhfb, } @Article{vanHaeringen:1983:TEHb, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Higher transcendental functions, Vol. II} [McGraw-Hill, New York, 1955, F. Oberhettinger, MR {\bf 16}, 586] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "778--778", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33-XX", MRnumber = "84m:33001b", bibdate = "Wed Jan 15 08:53:07 1997", acknowledgement = ack-nhfb, } @Article{vanHaeringen:1983:TEHc, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Higher transcendental functions, Vol. III} [McGraw-Hill, New York, 1955, F. Oberhettinger, MR {\bf 16}, 586] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "778--778", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33-XX", MRnumber = "84m:33001c", bibdate = "Wed Jan 15 08:53:07 1997", acknowledgement = ack-nhfb, } @Article{Tadmor:1983:UII, author = "Eitan Tadmor", title = "The unconditional instability of inflow-dependent boundary conditions in difference approximations to hyperbolic systems", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "309--319", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10", MRnumber = "85a:65143", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Osher:1983:NAN, author = "Stanley Osher and Richard Sanders", title = "Numerical approximations to nonlinear conservation laws with locally varying time and space grids", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "321--336", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (65M05 76-08)", MRnumber = "85i:65121", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/mgnet.bib; Parallel/Multi.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, } @Article{White:1983:MFD, author = "R. E. White", title = "A modified finite difference scheme for the {Stefan} problem", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "337--347", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (80A20)", MRnumber = "85m:65094", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Arnold:1983:ACC, author = "Douglas N. Arnold and Wolfgang L. Wendland", title = "On the Asymptotic Convergence of Collocation Methods", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "349--381", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N35 (65L10 65L60 65N30)", MRnumber = "85h:65254", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Arnold:1983:STG, author = "Douglas N. Arnold", title = "A spline-trigonometric {Galerkin} method and an exponentially convergent boundary integral method", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "383--397", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N15 (41A15 45L05 65D07 65R20)", MRnumber = "84m:65117", MRreviewer = "G. T. Symm", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", keywords = "(mathematics); analytic plane; boundary-value problems; convergent boundary integral method; curve; Dirichlet problem; exponentially; functional equations; Hilbert spaces; negative order; numerical solution; periodic cardinal splines; pointwise convergence; potential formulation; quasioptimal approximation; single layer; Sobolev; space variable; spaces; spline-trigonometric Galerkin method; splines; stable method; test functions; trial functions; trigonometric polynomials", treatment = "T Theoretical or Mathematical", } @Article{Pitkaranta:1983:ASM, author = "J. Pitk{\"a}ranta and R. Stenberg", title = "Analysis of some mixed finite element methods for plane elasticity equations", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "399--423", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N15 (73K25)", MRnumber = "85b:65099", MRreviewer = "N. Gass", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Zlamal:1983:LSN, author = "Milo{\v{s}} Zl{\'a}mal", title = "A linear scheme for the numerical solution of nonlinear quasistationary magnetic fields", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "425--440", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (78-08 78A30)", MRnumber = "86a:65123", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A4110F (Steady-state electromagnetic fields; electromagnetic induction); B0290K (Nonlinear and functional equations); B5120 (Magnetostatics); C4150 (Nonlinear and functional equations); C7320 (Physics and chemistry computing)", keywords = "boundary condition; bounded domain; convergence; equation; error bound; fields; generalized Galerkin method; linear scheme; magnetic fields; magnetic vector; nonlinear; nonlinear elliptic; nonlinear equations; nonlinear parabolic equation; numerical analysis; numerical solution; one-step method; open nonempty set; physics computing; potential; quasistationary magnetic fields; stable scheme; two-dimensional magnetic", treatment = "T Theoretical or Mathematical", } @Article{Douglas:1983:NMM, author = "Jim {Douglas, Jr.} and Jean E. Roberts", title = "Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "441--459", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60 (76S05)", MRnumber = "85d:65053", MRreviewer = "Jaros{\l}aw Jele{\'n}", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Galeone:1983:UPM, author = "Luciano Galeone", title = "The use of positive matrices for the analysis of the large time behavior of the numerical solution of reaction-diffusion systems", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "461--472", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (15A51 65C20)", MRnumber = "85b:65086", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Mittelmann:1983:EAB, author = "H. D. Mittelmann", title = "An efficient algorithm for bifurcation problems of variational inequalities", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "473--485", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65J15 (49A29 49D37)", MRnumber = "85c:65072", MRreviewer = "Henry Wolkowicz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Scheid:1983:ANS, author = "Robert E. {Scheid, Jr.}", title = "The accurate numerical solution of highly oscillatory ordinary differential equations", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "487--509", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L05 (34C29)", MRnumber = "85i:65091", MRreviewer = "H. Brunner", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra); C4170 (Differential equations)", keywords = "accurate computation; analysis; asymptotic; diagonal; highly; imaginary eigenvalues; large time steps; matrix; matrix algebra; nonlinear differential equations; numerical; numerical solution; oscillatory ordinary differential equations; theory; weakly nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{Papatheodorou:1983:BAI, author = "Theodore S. Papatheodorou", title = "Block {AOR} Iteration for Nonsymmetric Matrices", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "511--525", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F50 (65F10)", MRnumber = "86a:65035", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Ypma:1983:LCD, author = "T. J. Ypma", title = "Local convergence of difference {Newton-like} methods", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "527--536", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65H10", MRnumber = "85f:65053", MRreviewer = "Michel Cosnard", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Hasegawa:1983:GCI, author = "Takemitsu Hasegawa and Tatsuo Torii and Ichizo Ninomiya", title = "Generalized {Chebyshev} interpolation and its application to automatic quadrature", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "537--553", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D32 (41A55 65D05)", MRnumber = "84m:65037", MRreviewer = "M. M. Chawla", 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)", keywords = "automatic quadrature; Chebyshev approximation; Clenshaw-Curtis type; derivatives; discontinuous low order; error analysis; error estimation; generalized Chebyshev interpolation; interpolation; procedure; sample points", treatment = "A Application; T Theoretical or Mathematical", } @Article{Massidda:1983:ACC, author = "Vittorio Massidda", title = "Analytical calculation of a class of integrals containing exponential and trigonometric functions", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "555--557", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A10 (42A16)", MRnumber = "84k:33002", MRreviewer = "G. Gasper", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kearfott:1983:SAI, author = "Ralph Baker Kearfott", title = "A Sinc Approximation for the Indefinite Integral", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "559--572", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30 (41A99)", MRnumber = "85g:65029", MRreviewer = "B. Boyanov", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Wilkins:1983:MQS, author = "J. Ernest {Wilkins, Jr.} and Theodore R. Hatcher", title = "The Maximum of a Quasi-Smooth Function", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "573--589", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "26D20", MRnumber = "85d:26008", MRreviewer = "Paul R. Beesack", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{King:1983:ABL, author = "Richard F. King", title = "{Anderson--Bj{\"o}rck} for Linear Sequences", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "591--596", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65B99", MRnumber = "85i:65006", MRreviewer = "D. C. Joyce", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Cruz:1983:MPR, author = "Andr{\'e}s Cruz and Javier Sesma", title = "Modulus and phase of the reduced logarithmic derivative of the {Hankel} function", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "597--605", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A40 (65H05 81F10)", MRnumber = "85b:33006", MRreviewer = "H. E. Fettis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kershaw:1983:SEW, author = "D. Kershaw", title = "Some extensions of {W. Gautschi}'s inequalities for the gamma function", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "607--611", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A15 (26D20 65D20)", MRnumber = "84m:33003", MRreviewer = "P. Anandani", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Okui:1983:SIR, author = "Shigehiko Okui", title = "Some integrals relating to the ${I}_{e}$-function", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "613--622", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A40 (94A05)", MRnumber = "84j:33007", MRreviewer = "G. Gasper", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Albertsen:1983:NTA, author = "N. C. Albertsen and G. Jacobsen and S. B. S{\o}rensen", title = "Nonlinear transformations for accelerating the convergence of ${M}$-dimensional series", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "623--634", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65B10", MRnumber = "86a:65006", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Zajta:1983:SDE, author = "Aurel J. Zajta", title = "Solutions of the {Diophantine} equation ${A}^{4}+{B}^{4}={C}^{4}+{D}^{4}$", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "635--659", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11D25", MRnumber = "85d:11025", MRreviewer = "H. London", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Keller:1983:FFN, author = "Wilfrid Keller", title = "Factors of {Fermat} numbers and large primes of the form $k\cdot 2^{n}+1$", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "661--673", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y05 (11A41 11Y11)", MRnumber = "85b:11117", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lagrange:1983:SSW, author = "Jean Lagrange", title = "Sets of $n$ squares of which any $n-1$ have their sum square", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "675--681", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10B05 (10J05)", MRnumber = "84j:10012", MRreviewer = "David Lee Hilliker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Parson:1983:LBN, author = "L. Alayne Parson", title = "A Lower Bound for the Norm of the Theta Operator", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "683--685", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "30F35 (11F11)", MRnumber = "85d:30073", MRreviewer = "Peter J. Nicholls", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Naur:1983:NIF, author = "Thorkil Naur", title = "New Integer Factorizations", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "687--695", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y05", MRnumber = "85c:11123", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Pritchard:1983:EPA, author = "Paul A. Pritchard", title = "Eighteen Primes in Arithmetic Progression", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "697--697", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y55 (11B25)", MRnumber = "85c:11125", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Adleman:1983:ITF, author = "Leonard M. Adleman and Andrew M. Odlyzko", title = "Irreducibility testing and factorization of polynomials", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "699--709", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y05 (11R09 12-04 68Q40)", MRnumber = "86f:11097", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Cohn:1983:EFG, author = "H. Cohn and J. C. Lagarias", title = "On the Existence of Fields Governing the $2$-Invariants of the Classgroup of ${Q}(\sqrt{dp})$ as $p$ Varies", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "711--730", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11R11 (11R29 11R45)", MRnumber = "85b:11082", MRreviewer = "Ezra Brown", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Bremner:1983:IP, author = "Andrew Bremner and Nicholas Tzanakis", title = "Integer Points on $y^2 = x^3 - 7x + 10$", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "731--741", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11D25 (14K07)", MRnumber = "85c:11028", MRreviewer = "Michael Laska", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Lehmer:1983:CSP, author = "D. H. Lehmer and Emma Lehmer", title = "Cyclotomy With Short Periods", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "743--758", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "10G05 (10A40 12C20)", MRnumber = "84j:10048", MRreviewer = "R. J. Evans", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{vandeLune:1983:ZRZ, author = "J. {van de Lune} and H. J. J. {te Riele}", title = "On the zeros of the {Riemann} zeta function in the critical strip. {III}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "759--767", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11M26 (11-04 11Y35)", MRnumber = "85e:11062", MRreviewer = "J{\"u}rgen G. Hinz", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{vanHaeringen:1983:TEF, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Formulas and theorems for the special functions of mathematical physics} [Springer, New York, 1966 and F. Oberhettinger MR {\bf 38} \#1291] by W. Magnus and R. P. Soni.}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "775--778", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33-02", MRnumber = "84i:33001", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{vanHaeringen:1983:TETa, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Tables of integral transforms, Vol. I} [McGraw-Hill, New York 1954, F. Oberhettinger MR {\bf 15}, 868] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "778--779", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "44-02", MRnumber = "84m:44001a", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{vanHaeringen:1983:TETb, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Tables of integral transforms, Vol. II} [McGraw-Hill, New York, 1954, F. Oberhettinger MR {\bf 16}, 468] by A. Erd{\'e}lyi, W. Magnus and F. G. Tricomi}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "779--780", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "44-02", MRnumber = "84m:44001b", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{vanHaeringen:1983:TEHd, author = "H. {van Haeringen} and L. P. Kok", title = "Table errata: {{\em Handbook of mathematical functions, with formulas, graphs, and mathematical tables} [Dover, New York, 1966 and MR {\bf 34} \#8606].}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "780--780", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05", MRnumber = "84m:65014", bibdate = "Wed Jan 15 08:51:56 1997", acknowledgement = ack-nhfb, } @Article{Krupnikov:1983:TET, author = "Ernst D. Krupnikov", title = "Table errata: {{\em Table of integrals, series, and products} [Academic Press, New York, 1980 and MR 81g:33001] by {I. S}. Gradshte{\u{\i}}n and {I. M}. Ryzhik}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "780--783", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33-01", MRnumber = "85a:33001", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Longman:1983:TEH, author = "I. M. Longman", title = "Table errata: {{\em Handbook of mathematical functions with formulas, graphs, and mathematical tables} [U.S. Government Printing Office, Washington, D.C., 1964 and MR {\bf 29} \#4914].}", journal = j-MATH-COMPUT, volume = "41", number = "164", pages = "783--783", month = oct, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65A05", MRnumber = "84i:65009", bibdate = "Wed Jan 15 08:53:18 1997", acknowledgement = ack-nhfb, } @Article{Wahlbin:1984:SCL, author = "Lars B. Wahlbin", title = "On the Sharpness of Certain Local Estimates for $\overset{\circ}{H}^1$ Projections into Finite Element Spaces: Influence of a Reentrant Corner", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "1--8", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (65N15)", MRnumber = "86b:65129", 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 Maths., Cornell Univ., Ithaca, NY, USA", keywords = "Dirichlet problem; element solutions; finite element analysis; finite element spaces; Galerkin finite; H/sup 1/ projections; homogeneous; piecewise polynomial spaces; plane polygonal domain; Poisson's equation; polynomials; reentrant corner; sharpness", treatment = "T Theoretical or Mathematical", } @Article{Stenberg:1984:AMF, author = "Rolf Stenberg", title = "Analysis of Mixed Finite Element Methods for the {Stokes} Problem: {A} Unified Approach", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "9--23", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "76-08 (76D07)", MRnumber = "84k:76014", 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 = "Inst. of Maths., Helsinki Univ. of Technol., Espoo, Finland", keywords = "approach; Brezzi inequality; classical Babu{\v{s}}ka-; convergence; finite element analysis; mixed finite element methods; optimal order; stability; Stokes Problem; unified; velocity-pressure formulation", treatment = "T Theoretical or Mathematical", } @Article{Mattheij:1984:OSI, author = "R. M. M. Mattheij and G. W. M. Staarink", title = "On Optimal Shooting Intervals", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "25--40", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10", MRnumber = "85f:65072", MRreviewer = "M. M. Chawla", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4240 (Programming and algorithm theory)", corpsource = "Maths. Inst., Katholieke Univ., Nijmegen, Netherlands", keywords = "adaptive; boundary condition; computational complexity; CPU time; errors; gridpoints; multiple shooting strategy; optimal shooting intervals; rounding", treatment = "T Theoretical or Mathematical", } @Article{Weiss:1984:ABT, author = "Richard Weiss", title = "An analysis of the box and trapezoidal schemes for linear singularly perturbed boundary value problems", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "41--67", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10 (34E15)", MRnumber = "86b:65085", MRreviewer = "Zheng You Zhu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. fur Angewandte und Numerische Maths., Techn. Univ. Wien, Wien, Austria", keywords = "boundary-value problems; box schemes; convergence results; differential equations; linear singularly perturbed boundary; ordinary differential equations; stability; trapezoidal schemes; value problems", treatment = "T Theoretical or Mathematical", } @Article{Werschulz:1984:DIR, author = "Arthur G. Werschulz", title = "Does Increased Regularity Lower Complexity?", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "69--93", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "68Q25 (65D05)", MRnumber = "86a:68046", MRreviewer = "Lydia Kronsj{\"o}", 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 Computer Sci., Columbia Univ., New York, NY, USA", keywords = "computational complexity; optimal error; partial differential equations; regularity; Sobolev norm", treatment = "T Theoretical or Mathematical", } @Article{Brunner:1984:IRK, author = "Hermann Brunner", title = "Implicit {Runge--Kutta} methods of optimal order for {Volterra} integro-differential equations", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "95--109", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (45J05 45L10)", MRnumber = "85m:65129", MRreviewer = "G. A. Evans", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. of Maths., Univ. of Fribourg, Fribourg, Switzerland", keywords = "approximate solution; differential equations; discretized collocation methods; fully; implicit Runge--Kutta methods; integro-differential equations; optimal order; polynomial spline spaces; polynomials; quadrature formulas; Runge--Kutta methods; Volterra", treatment = "T Theoretical or Mathematical", } @Article{Huang:1984:NAI, author = "Yougun Huang and Jack Williams", title = "A Note on An Algorithm for Interpolating Rationals", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "111--113", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D05 (41A20)", MRnumber = "85m:65010", 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 = "Electronic Engng. Dept., Shen Yang Inst. of Mech. and Electrical Engng., China", keywords = "Chebyshev approximation; interpolation; rationals interpolation; simultaneous exchange algorithm", treatment = "T Theoretical or Mathematical", } @Article{Simon:1984:LAP, author = "Horst D. Simon", title = "The {L{\'a}nczos} algorithm with partial reorthogonalization", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "115--142", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F10 (65F25)", MRnumber = "85h:65075", MRreviewer = "O. O. Romanovs{\'k}i\u\i", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Boeing Computer Services Co., Tukwila, WA, USA", keywords = "eigenvalues; eigenvalues and eigenfunctions; equations; full reorthogonalization; Lanczos algorithm; linear differential; linear equations; orthogonality; orthogonalization; partial; reorthogonalization; roundoff errors; selective", treatment = "T Theoretical or Mathematical", } @Article{Boley:1984:MMR, author = "Daniel Boley and Gene H. Golub", title = "A modified method for reconstructing periodic {Jacobi} matrices", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "143--150", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F15 (15A18)", MRnumber = "85h:65078", MRreviewer = "Alan L. Andrew", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Computer Sci. Dept., Univ. of Minnesota, Minneapolis, MN, USA", keywords = "algorithm; initial data items; matrix algebra; numerically stable; periodic Jacobi matrices; spectral data", treatment = "T Theoretical or Mathematical", } @Article{Chen:1984:ACH, author = "Han Lin Chen and Tron Hvaring", title = "Approximation of complex harmonic functions by complex harmonic splines", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "151--164", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "30C30 (30E10 41A15)", MRnumber = "84m:30012", MRreviewer = "D. Gaier", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Inst. of Maths., Acad. Sinica, Beijing, China", keywords = "complex harmonic; complex harmonic functions approximation; conformal mapping; elementary functions; interpolated function; interpolation; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Igarashi:1984:TCI, author = "Masao Igarashi", title = "A termination criterion for iterative methods used to find the zeros of polynomials", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "165--171", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65H05 (65G99)", MRnumber = "85b:65040", MRreviewer = "G. J. Miel", 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 = "Coll. of Agriculture and Veterinary Medicine, Nihon Univ., Kanagawa, Japan", keywords = "iterative methods; mantissa; poles and zeros; polynomials; termination criterion; zeros", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Byrd:1984:CQR, author = "Paul F. Byrd and Lawrence Stalla", title = "{Chebyshev} quadrature rules for a new class of weight functions", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "173--181", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D32", MRnumber = "85i:65030", MRreviewer = "J. G. Herriot", 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 Maths. and Computer Sci., San Jose State Univ., San Jose, CA, USA", keywords = "Chebyshev; Chebyshev approximation; Chebyshev quadrature rule; error term; quadratures; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Foster:1984:AHM, author = "D. M. E. Foster and G. M. Phillips", title = "The Arithmetic-Harmonic Mean", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "183--191", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "40A99 (40A25)", MRnumber = "85j:40008", MRreviewer = "Amnon Jakimovski", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1120 (Mathematical analysis)", corpsource = "Maths. Inst., Univ. of St. Andrews, St. Andrews, Fife, UK", keywords = "Archimedean process; arithmetic-harmonic; geometric mean; harmonic analysis; harmonic means; mean; sequences", treatment = "T Theoretical or Mathematical", } @Article{Meyer:1984:SIE, author = "Burnett Meyer", title = "Some Inequalities for Elementary Mean Values", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "193--194", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "26D20 (26D15)", MRnumber = "85h:26025", MRreviewer = "Paul R. Beesack", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1120 (Mathematical analysis)", corpsource = "Dept. of Maths., Univ. of Colorado, Boulder, CO, USA", keywords = "arithmetic mean; elementary mean; harmonic analysis; harmonic means; inequalities; lower bounds; values", treatment = "T Theoretical or Mathematical", } @Article{Piessens:1984:SEF, author = "R. Piessens", title = "A Series Expansion for the First Positive Zero of the {Bessel} Functions", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "195--197", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A40 (65D20)", MRnumber = "84m:33014", MRreviewer = "M. E. Muldoon", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Comp.Alg.1.bib", acknowledgement = ack-nhfb, annote = "Gives explicit series for first positive zero for 4 terms, using REDUCE.", classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Computer Sci., Univ. of Leuven, Heverlee, Belgium", keywords = "Bessel functions; poles and zeros; positive zero; Reduce; series (mathematics); series expansion", treatment = "T Theoretical or Mathematical", } @Article{Newman:1984:SAS, author = "Morris Newman and Daniel Shanks", title = "On a sequence arising in series for $\pi $", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "199--217", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y35 (11F11)", MRnumber = "85k:11069", MRreviewer = "D. H. Lehmer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Maths., Univ. of California, Santa Barbara, CA, USA", keywords = "adic numbers; cubic recurrences; p-; positive integers; rational sequence; sequences; series; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{teRiele:1984:GNA, author = "Herman J. J. {te Riele}", title = "On Generating New Amicable Pairs from Given Amicable Pairs", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "219--223", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y11 (11-04 11A99)", MRnumber = "85d:11107", MRreviewer = "Neville Robbins", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Maths. Centre, Amsterdam, Netherlands", keywords = "algebra; amicable pairs; daughter pairs; granddaughter pairs; integers; mother pairs; positive", treatment = "T Theoretical or Mathematical", } @Article{Gupta:1984:DEP, author = "Hansraj Gupta", title = "Diophantine Equations in Partitions", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "225--229", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11P68 (05A17)", MRnumber = "85c:11090", MRreviewer = "M. Livingston", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Maths., Panjab Univ., Chandigarh, India", keywords = "Diophantine equations; integral equations; partitions; positive integers; residue classes; Rogers-Ramanujan identities", treatment = "T Theoretical or Mathematical", } @Article{Kishore:1984:OTN, author = "Masao Kishore", title = "Odd Triperfect Numbers", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "231--233", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11A25", MRnumber = "85d:11009", MRreviewer = "Neville Robbins", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Dept. of Maths., East Caroline Univ., Greenville, NC, USA", keywords = "distinct prime factors; number theory; odd triperfect numbers", treatment = "T Theoretical or Mathematical", } @Article{Scarowsky:1984:NDE, author = "Manny Scarowsky and Abraham Boyarsky", title = "A note on the {Diophantine} equation $x^{n}+y^{n}+z^{n}=3$", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "235--237", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11D25 (11D41)", MRnumber = "85c:11029", MRreviewer = "R. F. Churchhouse", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Maths., Concordia Univ., Montreal, Que., Canada", keywords = "Diophantine equation; integral equations", treatment = "T Theoretical or Mathematical", } @Article{Brown:1984:DE, author = "M. L. Brown", title = "On the {Diophantine} equation $\sum {X}_{i}=\prod {X}_{i}$", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "239--240", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11D72", MRnumber = "85d:11030", MRreviewer = "H. London", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Pure Maths., Univ. Coll., Cardiff, UK", keywords = "finite sequence; integral equations; positive integers", treatment = "T Theoretical or Mathematical", } @Article{Ferguson:1984:ZMT, author = "H. R. P. Ferguson and R. D. Major and K. E. Powell and H. G. Throolin", title = "On Zeros of {Mellin} Transforms of ${\rm SL}_2(\mathbf{Z})$ Cusp Forms", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "241--255", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11F66 (11R42)", MRnumber = "85e:11036", MRreviewer = "James Lee Hafner", 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 Maths., Brigham Young Univ., Provo, UT, USA", keywords = "algebraic Fourier; analytic; coefficients; continuations; Dirichlet series; eigenforms; eigenvalues and eigenfunctions; functional equations; Hasse-Weil L-functions; Hecke operators; Mellin transforms; modular cusp forms; poles and zeros; Riemann hypothesis; Selberg trace formula; transforms; zeros", treatment = "B Bibliography", } @Article{Bremner:1984:E, author = "A. Bremner and J. W. S. Cassels", title = "On the Equation ${Y}^2 = {X}({X}^2 + p)$", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "257--264", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11D25 (11G05 14G05)", MRnumber = "85f:11017", MRreviewer = "Toshihiro Hadano", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Dept. of Pure Maths. Maths. Statistics, Univ. of Cambridge, Cambridge, UK", keywords = "Diophantine equation; generators; integral equations; rational points group", treatment = "T Theoretical or Mathematical", } @Article{McCurley:1984:EEE, author = "Kevin S. McCurley", title = "Explicit estimates for the error term in the prime number theorem for arithmetic progressions", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "265--285", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11N13 (11-04 11Y35)", MRnumber = "85e:11065", MRreviewer = "Matti Jutila", 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 Maths., Michigan State Univ., East Lansing, MI, USA", keywords = "arithmetic progressions; Chebyshev approximation; Chebyshev functions; Dirichlet L-functions; error term; explicit estimates; moduli; nonexceptional; prime number theorem", treatment = "T Theoretical or Mathematical", } @Article{McCurley:1984:EE, author = "Kevin S. McCurley", title = "Explicit Estimates for $\theta (x; 3, l)$ and $\psi (x; 3, l)$", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "287--296", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11N56", MRnumber = "85g:11085", MRreviewer = "G. J. Rieger", 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 Maths., Michigan State Univ., East Lansing, MI, USA", keywords = "arithmetic progressions; Chebyshev approximation; Chebyshev functions; Dirichlet L-; explicit estimates; functions; prime number; theorem; zeros", treatment = "T Theoretical or Mathematical", } @Article{Cohen:1984:PTJ, author = "H. Cohen and H. W. {Lenstra, Jr.}", title = "Primality Testing and {Jacobi} Sums", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "297--330", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y11 (11A51)", MRnumber = "86g:11078", MRreviewer = "Carl Pomerance", 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 = "Math. et Informatique, Univ. de Bordeaux I, Talence, France", keywords = "Jacobi sums; polynomials; primality testing", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Lenstra:1984:DRC, author = "H. W. {Lenstra, Jr.}", title = "Divisors in Residue Classes", journal = j-MATH-COMPUT, volume = "42", number = "165", pages = "331--340", month = jan, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y05 (11A51 11N69)", MRnumber = "85b:11118", MRreviewer = "Jack P. Tull", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics)", corpsource = "Math. Inst., Univ. van Amsterdam, Amsterdam, Netherlands", keywords = "coding theory; combinatorial; computational number theory; integers; model; number theory; positive divisors; residue classes", treatment = "T Theoretical or Mathematical", } @Article{Eriksson:1984:GMS, author = "Kenneth Eriksson and Vidar Thom{\'e}e", title = "{Galerkin} methods for singular boundary value problems in one space dimension", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "345--367", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L60 (65L10)", MRnumber = "85i:65107", MRreviewer = "G. Meinardus", 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., Chalmers Univ. of Technol., Univ. of Goteborg, Goteborg, Sweden", keywords = "bilinear forms; boundary-value problems; estimates; functions; Galerkin methods; one space dimension; optimal order error; piecewise polynomial approximation; piecewise-linear techniques; polynomials; problems; singular boundary value; weight", treatment = "T Theoretical or Mathematical", } @Article{Brown:1984:NNS, author = "David L. Brown", title = "A note on the numerical solution of the wave equation with piecewise smooth coefficients", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "369--391", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10", MRnumber = "85h:65194", MRreviewer = "Anton Hut'a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0340K (Waves and wave propagation: general mathematical aspects)", corpsource = "Dept. of Appl. Math., California Inst. of Technol., Pasadena, CA, USA", keywords = "convergent difference approximations; initial value; initial value problems; numerical analysis; numerical phase velocity; numerical solution; piecewise smooth coefficients; problem; wave equation; wave equations; wave propagation", treatment = "T Theoretical or Mathematical", } @Article{Geveci:1984:CGA, author = "Tunc Geveci", title = "On the convergence of {Galerkin} approximation schemes for second-order hyperbolic equations in energy and negative norms", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "393--415", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60", MRnumber = "85m:65099", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "CSIR, Pretoria, South Africa", keywords = "approximation theory; convergence; error estimates; Galerkin approximation schemes; hyperbolic equations; initial value problems; initial-boundary value; negative norms; problem; second-order; time derivatives", treatment = "T Theoretical or Mathematical", } @Article{Nakao:1984:CGM, author = "Mitsuhiro Nakao", title = "A collocation-${H}^{-1}$-{Galerkin} method for some elliptic equations", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "417--426", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30", MRnumber = "86a:65120", 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 Appl. Math., Kyushu Inst. of Technol., Kitakyushu, Japan", keywords = "approximation solution; approximation theory; boundary value problems; boundary-value problems; collocation-H/sup -1/-Galerkin method; discontinuous piecewise polynomial spaces; elliptic equations; Jacobi; optimal order; points; polynomials; products; tensor; weight function", treatment = "T Theoretical or Mathematical", } @Article{Gartland:1984:AAE, author = "Eugene C. {Gartland, Jr.}", title = "Accurate approximation of eigenvalues and zeros of selected eigenfunctions of regular {Sturm--Liouville} problems", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "427--439", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L15", MRnumber = "85d:65045", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Dept. of Math., Southern Methodist Univ., Dallas, TX, USA", keywords = "accurate approximation; and zeros; approximate Newton method; eigenfunctions; eigenvalues; eigenvalues and eigenfunctions; minimax techniques; minimax variational principles; poles; problems; regular Sturm--Liouville; variational techniques; zeros", treatment = "T Theoretical or Mathematical", } @Article{Weinmuller:1984:DMS, author = "Ewa Weinm{\"u}ller", title = "A difference method for a singular boundary value problem of second order", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "441--464", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10 (39A12)", MRnumber = "85i:65103", MRreviewer = "I. P. Gavrilyuk", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. fur Angewandte und Numerische Math., Tech. Univ. Wien, Wien, Austria", keywords = "boundary-value problems; difference method; numerical solution; point discretization; second order; singular boundary value problem; systems; three-", treatment = "T Theoretical or Mathematical", } @Article{Berger:1984:PEA, author = "Alan E. Berger and Hou De Han and R. Bruce Kellogg", title = "A priori estimates and analysis of a numerical method for a turning point problem", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "465--492", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10 (34E20)", MRnumber = "85h:65158", MRreviewer = "W. Wasow", 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 = "a priori estimates; boundary-value problems; bounds; finite difference scheme; numerical method; problem; turning point; uniform error estimate", treatment = "T Theoretical or Mathematical", } @Article{Shi:1984:CPQ, author = "Zhong Ci Shi", title = "On the convergence properties of the quadrilateral elements of {Sander} and {Beckers}", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "493--504", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (73K25)", MRnumber = "85h:65245", MRreviewer = "Rolf Rannacher", 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., China Univ. of Sci. and Technol., Hofei, China", keywords = "convergence properties; differential equations; elements; finite element analysis; mathematical analysis; nonconforming quadrilateral membrane", treatment = "T Theoretical or Mathematical", } @Article{Braess:1984:CRM, author = "Dietrich Braess", title = "The Convergence Rate of a Multigrid Method with {Gauss--Seidel} Relaxation for the {Poisson} Equation", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "505--519", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N20", MRnumber = "85f:65105", MRreviewer = "David F. Griffiths", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. fur Math., Ruhr-Univ. Bochum, Bochum, West Germany", keywords = "analysis; boundary-value problems; convergence rate; finite element analysis; Gauss--Seidel relaxation; multigrid method; numerical; numerical solution; Poisson equation; pollution effects; uniform grid", treatment = "T Theoretical or Mathematical", } @Article{Steihaug:1984:SSL, author = "Trond Steihaug", title = "On the sparse and symmetric least-change secant update", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "521--533", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65H05 (65F50)", MRnumber = "85h:65108", MRreviewer = "Vasile M. Ionescu", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Dept. of Math. Sci., Rice Univ., Houston, TX, USA", keywords = "bounds; change secant update; coefficient; consistent linear system; eigenvalues; eigenvalues and eigenfunctions; gradient method; matrix; minimisation; minimisation problem; preconditioned conjugate; quasiNewton method; sparse least change secant update; symmetric least-; unconstrained", treatment = "T Theoretical or Mathematical", } @Article{Chan:1984:ECF, author = "Tony F. Chan", title = "On the Existence and Computation of ${LU}$-Factorizations with Small Pivots", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "535--547", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F05 (15A23)", MRnumber = "85i:65037", MRreviewer = "R. J. Plemmons", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", note = "Citation communicated by Per Christian Hansen.", acknowledgement = ack-nhfb, classcodes = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Computer Sci., Yale Univ., New Haven, CT, USA", keywords = "computation; eigenvalues and eigenfunctions; existence; LU-factorizations; matrix; matrix algebra; singular vectors; small pivots", kwds = "nla, lud, pivoting, rank determination", treatment = "T Theoretical or Mathematical", } @Article{Rodrigue:1984:PIB, author = "Garry Rodrigue and Donald Wolitzer", title = "Preconditioning By Incomplete Block Cyclic Reduction", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "549--565", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F10 (65W05)", MRnumber = "85i:65041", MRreviewer = "Cs. J. Heged\H us", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Lawrence Livermore Nat. Lab., Livermore, CA, USA", keywords = "discretization; elliptic/parabolic partial differential equations; equations; factorizations; incomplete block cyclic; iterative methods; linear systems; partial differential; preconditioning; reduction; vector processor", kwds = "nla, preconditioning, block algorithm, cyclic reduction, incomplete factorization", treatment = "T Theoretical or Mathematical", } @Article{Saad:1984:CAT, author = "Youcef Saad", title = "{Chebyshev} Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "567--588", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F15 (65F50)", MRnumber = "85i:65049", MRreviewer = "W. Niethammer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computer Sci., Yale Univ., New Haven, CT, USA", keywords = "Chebyshev acceleration techniques; Chebyshev approximation; Chebyshev polynomials; eigenvalues and eigenfunctions; iterative methods; nonsymmetric eigenvalue; polynomials; problems; sparse nonsymmetric matrix; subspace iteration method", kwds = "nla, eig, sparse, Chebyshev acceleration, nonsymmetric matrix", treatment = "T Theoretical or Mathematical", } @Article{Misici:1984:NST, author = "Luciano Misici", title = "Numerical Solution of Two Transcendental Equations", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "589--595", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65H05 (65N25)", MRnumber = "85c:65056", MRreviewer = "E. R. Hansen", 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. and Phys., Univ. of Camerino, Camerino, Italy", keywords = "biharmonic equation; boundary value; boundary-value problems; iterative methods; iterative procedure; numerical solution; Papkovich-Fadle series; problems; transcendental equations", treatment = "T Theoretical or Mathematical", } @Article{Laforgia:1984:FIG, author = "Andrea Laforgia", title = "Further Inequalities for the Gamma Function", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "597--600", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A15", MRnumber = "85i:33001", 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. of Math., Univ. of Torino, Torino, Italy", keywords = "gamma function; inequalities; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Fransen:1984:CMM, author = "Arne Frans{\'e}n and Staffan Wrigge", title = "Calculation of the moments and the moment generating function for the reciprocal gamma distribution", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "601--616", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20 (60E10 62E15 65U05)", MRnumber = "86f:65042a", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C1210B (Reliability theory); C4130 (Interpolation and function approximation)", corpsource = "Nat. Defence Res. Inst., Stockholm, Sweden", keywords = "kurtosis; moment generating function; moments; polynomials; reciprocal gamma distribution; reliability theory; skewness; variance", treatment = "T Theoretical or Mathematical", } @Article{Wrigge:1984:NMG, author = "Staffan Wrigge", title = "A note on the moment generating function for the reciprocal gamma distribution", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "617--621", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20 (60E10 62E15 65U05)", MRnumber = "86f:65042b", 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 = "Nat. Defence Res. Inst., Stockholm, Sweden", keywords = "Euler-Maclaurin expansion; moment generating function; polynomials; reciprocal gamma distribution", treatment = "T Theoretical or Mathematical", } @Article{Mansfield:1984:CAC, author = "Richard Mansfield", title = "A Complete Axiomatization of Computer Arithmetic", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "623--635", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65G99 (03B70 03C70 68Q40)", MRnumber = "85k:65040", MRreviewer = "R. P. Brent", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C5230 (Digital arithmetic methods)", corpsource = "Dept. of Math., Pennsylvania State Univ., University Park, PA, USA", keywords = "axiom system; complete axiomatization; computer arithmetic; digital arithmetic; multiplication; rounded addition; rounded arithmetic", treatment = "T Theoretical or Mathematical", } @Article{vonzurGathen:1984:HNM, author = "Joachim {von zur Gathen}", title = "{Hensel} and {Newton} methods in valuation rings", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "637--661", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12J20 (65P05)", MRnumber = "85j:12012", MRreviewer = "Maurice Mignotte", 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 Sci., Univ. of Toronto, Toronto, Ont., Canada", keywords = "algebraic equations; approximate factorizations; differential; differential equations; equations; Hensel method; modules; Newton method; polynomials; rings; valuation; vectors", treatment = "T Theoretical or Mathematical", } @Article{Smyth:1984:MVT, author = "C. J. Smyth", title = "The Mean Values of Totally Real Algebraic Integers", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "663--681", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11R80 (11R04 11S05)", MRnumber = "86e:11115", MRreviewer = "D. Boyd", 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., James Cook Univ. of North Queensland, Townsville, Qld., Australia", keywords = "mean values; polynomials; root; totally real algebraic integers", treatment = "T Theoretical or Mathematical", } @Article{Williams:1984:ANI, author = "H. C. Williams and G. W. Dueck", title = "An analogue of the nearest integer continued fraction for certain cubic irrationalities", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "683--705", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11J70 (11A55 11Y65)", MRnumber = "85j:11077", MRreviewer = "P. Bundschuh", 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 Computer Sci., Univ. of Manitoba, Winnipeg, Man., Canada", keywords = "cubic irrationalities; nearest integer continued fraction; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Godwin:1984:QFS, author = "H. J. Godwin", title = "On quartic fields of signature one with small discriminant. {II}", journal = j-MATH-COMPUT, volume = "42", number = "166", pages = "707--711", month = apr, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11R16 (11R29)", MRnumber = "85i:11092a", MRreviewer = "Duncan A. Buell", 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 Statistics and Computer Sci., Royal Holloway Coll., Egham, UK", keywords = "complex conjugates; discriminant; polynomials; quartic fields; real conjugates; signature one; tables", treatment = "T Theoretical or Mathematical", } @Article{Schaffer:1984:SHO, author = "Steve Schaffer", title = "Supplement to Higher Order Multi-Grid Methods", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "S1--S19", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Crandall:1984:TAS, author = "M. G. Crandall and P. L. Lions", title = "Two approximations of solutions of {Hamilton--Jacobi} equations", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "1--19", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10 (35F20 49C10)", MRnumber = "86j:65121", MRreviewer = "Steven M. Serbin", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math., Wisconsin Univ., Madison, WI, USA", keywords = "calculus of variations; control theory; convergence; convergence of numerical methods; difference approximations; difference equations; differential games; equations; error analysis; error estimates; generalised solutions; Hamilton-Jacobi equations; initial value problems; initial-value problems; partial differential; partial differential equations; vanishing; viscosity", treatment = "T Theoretical or Mathematical", } @Article{Sanz-Serna:1984:MNS, author = "J. M. Sanz-Serna", title = "Methods for the Numerical Solution of the Nonlinear {Schr{\"o}dinger} Equation", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "21--27", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10", MRnumber = "86c:65098", MRreviewer = "K. Balla", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A0365G (Solutions of wave equations: bound state in quantum theory); B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. de Ecuaciones Funcionales, Valladolid, Spain", keywords = "convergence of numerical methods; difference equations; finite element analysis; nonlinear differential equations; Schr{\"o}dinger equation; optimal L/sup 2/ convergence rates; numerical solution; nonlinear Schr{\"o}dinger equation; fully-discrete schemes; finite differences; finite elements; discretization in; space; integration in time; leap-frog technique; modified; Crank-Nicolson procedure", treatment = "T Theoretical or Mathematical", } @Article{Bendali:1984:NAEa, author = "A. Bendali", title = "Numerical Analysis of the Exterior Boundary Value Problem for the Time-Harmonic {Maxwell} Equations by a Boundary Finite Element Method. Part 1: The Continuous Problem", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "29--46", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (78-08 78A45)", MRnumber = "86i:65071a", MRreviewer = "Hartmut Strese", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A4110F (Steady-state electromagnetic fields; electromagnetic induction); B5140 (Electromagnetic induction)", corpsource = "Centre de Math. Appl., Ecole Polytech., Palaiseau, France", keywords = "boundary finite element method; boundary-value problems; continuous; electromagnetic induction; element analysis; equations; exterior boundary value problem; finite; harmonic incident electromagnetic wave; integral equations; perfectly conducting surface; problem; skin currents; time-; time-harmonic Maxwell", treatment = "T Theoretical or Mathematical", } @Article{Bendali:1984:NAEb, author = "A. Bendali", title = "Numerical Analysis of the Exterior Boundary Value Problem for the Time-Harmonic {Maxwell} Equations by a Boundary Finite Element Method. Part 2: The Discrete Problem", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "47--68", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N30 (78-08 78A45)", MRnumber = "86i:65071b", MRreviewer = "Hartmut Strese", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A4110F (Steady-state electromagnetic fields; electromagnetic induction); B5100 (Electric and magnetic fields)", corpsource = "Centre de Math. Appl., Ecole Polytech., Palaiseau, France", keywords = "analysis; approximate surface; boundary; boundary-value problems; corresponding fields; curved finite elements; discrete problem; electromagnetism; elements; existence; exterior boundary; finite element; finite element method; integral equations; mixed finite; surface charges; surface currents; time-harmonic Maxwell equations; uniqueness; value problem", treatment = "T Theoretical or Mathematical", } @Article{Goldfarb:1984:OEJ, author = "D. Goldfarb and Ph. L. Toint", title = "Optimal estimation of {Jacobian} and {Hessian} matrices that arise in finite difference calculations", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "69--88", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F50 (65N20)", MRnumber = "86g:65086", MRreviewer = "E. Schechter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/auto.diff.bib", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Ind. Eng. and Oper. Res., Columbia Univ., New York, NY, USA", keywords = "approximation; computational; difference equations; equations; finite difference; finite difference calculations; Hessian matrices; Jacobian matrices; matrix algebra; molecule; optimal estimation; partial differential; partial differential equations; stencil", referred = "[Bisc91a].", treatment = "T Theoretical or Mathematical", } @Article{Schaffer:1984:HOM, author = "Steve Schaffer", title = "Higher Order Multi-Grid Methods", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "89--115, S1--19", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N05 (65N10 65N50)", MRnumber = "85f:65101", MRreviewer = "S. F. McCormick", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "Parallel/mgnet.bib; Parallel/Multi.grid.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Computer Res., Colorado State Univ., Fort Collins, CO, USA", keywords = "approximations; difference equations; equation solver; equations; finite difference approximations; forth order discretisations; higher order difference; higher order multigrid methods; inner loop; iterated defect corrections; local mode analysis; partial differential; partial differential equations; Poisson's equations; sixth order discretisations; smoothing; tau-extrapolation", treatment = "T Theoretical or Mathematical", } @Article{Foias:1984:DSN, author = "Ciprian Foia{\c{s}} and Roger Temam", title = "Determination of the solutions of the {Navier--Stokes} equations by a set of nodal values", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "117--133", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "35Q10 (76D05)", MRnumber = "85f:35165", MRreviewer = "Charles J. Amick", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. of Math., Indiana Univ., Bloomington, IN, USA", keywords = "discrete set; incompressible fluid; large time behavior; Navier--Stokes equations; nodal values; partial differential equations; stationary solutions; viscosity; viscous", treatment = "T Theoretical or Mathematical", } @Article{Schechter:1984:SCR, author = "Eric Schechter", title = "Sharp convergence rates for nonlinear product formulas", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "135--155", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65J15 (34G20 47H15)", MRnumber = "85i:65074", MRreviewer = "Antonio de Bivar-Weinholtz", 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., Vanderbilt Univ., Nashville, TN, USA", keywords = "convergence of numerical methods; equations; Lie-Trotter product formula; nonlinear differential; nonlinear partial differential equations; nonlinear product formulas; optimal convergence rates; partial differential equations; sharp convergence rates", treatment = "T Theoretical or Mathematical", } @Article{Ascher:1984:CSP, author = "U. Ascher and R. Weiss", title = "Collocation for singular perturbation problems. {II}. {Linear} first order systems without turning points", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "157--187", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10 (34E15)", MRnumber = "86g:65138a", MRreviewer = "D. F. Mayers", 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 Comput. Sci., British Columbia Univ., Vancouver, BC, USA", keywords = "boundary value problems; boundary-value problems; collocation; construction; convergence; convergence of numerical methods; Gauss points; linear; linear differential equations; linear first-order systems; Lobatto points; mesh; ODEs; perturbation techniques; singular perturbation problems; variable coefficients", treatment = "T Theoretical or Mathematical", } @Article{Onumanyi:1984:NSS, author = "P. Onumanyi and E. L. Ortiz", title = "Numerical solution of stiff and singularly perturbed boundary value problems with a segmented-adaptive formulation of the tau method", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "189--203", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10", MRnumber = "85m:65071", 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); B0290H (Linear algebra); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Imperial Coll., London, UK", keywords = "analysis; approximant; boundary value; boundary-value problems; differential equations; error; error estimation; formulation; ordinary; Ortiz' recursive; piecewise polynomial approximations; polynomials; problems; rapid functional; segmented Tau; segmented-adaptive formulation; singularly perturbed problems; stiff problems; variations; Zadunaisky correction", treatment = "T Theoretical or Mathematical", } @Article{Werner:1984:PIL, author = "Wilhelm Werner", title = "Polynomial Interpolation: {Lagrange} versus {Newton}", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "205--217", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D05", MRnumber = "86g:65024", MRreviewer = "K. Jetter", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Fachbereich Math., Johannes Gutenberg Univ., Mainz, West Germany", keywords = "arithmetic; interpolating polynomial; interpolation; Lagrangian form; Newtonian form; operations; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Lubinsky:1984:RCG, author = "D. S. Lubinsky and P. Rabinowitz", title = "Rates of convergence of {Gaussian} quadrature for singular integrands", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "219--242", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30", MRnumber = "86b:65018", MRreviewer = "J. G. Herriot", 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 = "Nat. Res. Inst. for Math. Sci., CSIR, Pretoria, South Africa", keywords = "algebraic singularity; bounded smooth weight function; convergence of numerical methods; convergence rates; divergence rates; endpoint; Gaussian quadrature; integration; logarithmic; singular integrands; singularity", treatment = "T Theoretical or Mathematical", } @Article{Lacroix:1984:CZL, author = "Norbert H. J. Lacroix", title = "On Common Zeros of {Legendre}'s Associated Functions", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "243--245", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A45", MRnumber = "85f:33012", MRreviewer = "S. Conde", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Laval Univ., Quebec City, Que., Canada", keywords = "associated functions; common zeros; Legendre; Legendre associated polynomials; poles and zeros; polynomials; Prufer polar coordinates", treatment = "T Theoretical or Mathematical", } @Article{Kiper:1984:FSC, author = "Ay{\c{s}}e Kiper", title = "{Fourier} series coefficients for powers of the {Jacobian} elliptic functions", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "247--259", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A25", MRnumber = "85d:33003", MRreviewer = "R. G. Langebartel", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290D (Functional analysis); C4120 (Functional analysis)", corpsource = "Dept. of Comput. Sci., Middle East Tech. Univ., Ankara, Turkey", keywords = "expansion; Fourier analysis; Fourier series; Fourier series coefficients; functional analysis; Jacobian elliptic functions; powers; series (mathematics); two-term recurrence formulae", treatment = "T Theoretical or Mathematical", } @Article{Wroblewski:1984:NSI, author = "J. Wr{\'o}blewski", title = "A nonaveraging set of integers with a large sum of reciprocals", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "261--262", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11B25", MRnumber = "85k:11006", MRreviewer = "John R. Rabung", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", keywords = "arithmetic progression; large sum of reciprocals; nonaveraging set of integers; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Cohen:1984:PAN, author = "Graeme L. Cohen", title = "Primitive $\alpha $-abundant numbers", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "263--270", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11A25", MRnumber = "85i:11006", MRreviewer = "Torleiv Kl{\o}ve", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Sch. of Math. Sci., New South Wales Inst. of Technol., Broadway, NSW, Australia", keywords = "number theory; primitive alpha -abundant numbers", treatment = "T Theoretical or Mathematical", } @Article{Rotkiewicz:1984:C, author = "A. Rotkiewicz", title = "On the Congruence $2^{n - 2} \equiv 1 (\operatorname{mod} n)$", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "271--272", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11A07", MRnumber = "85e:11005", MRreviewer = "Joseph B. Dennin, Jr.", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Inst. of Math., Polish Acad. of Sci., Warsaw, Poland", keywords = "number theory; pseudoprime numbers", treatment = "T Theoretical or Mathematical", } @Article{Hao:1984:GBN, author = "Fred H. Hao and Charles J. Parry", title = "Generalized {Bernoulli} numbers and $m$-regular primes", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "273--288", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11R29 (11R20 11Y40)", MRnumber = "85h:11062", MRreviewer = "Krystyna Bartz", 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., Valparaiso Univ., IN, USA", keywords = "abelian number field; characterizations; class number; generalized Bernoulli numbers; m-regular primes; number theory", treatment = "T Theoretical or Mathematical", } @Article{Schnorr:1984:MCF, author = "C. P. Schnorr and H. W. {Lenstra, Jr.}", title = "A {Monte Carlo} factoring algorithm with linear storage", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "289--311", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y05 (68Q25)", MRnumber = "85d:11106", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1140G (Monte Carlo methods); C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Math. Inst., Amsterdam Univ., Netherlands", keywords = "class numbers; computational complexity; integer factoring; linear; Monte Carlo factoring algorithm; Monte Carlo methods; number theory; running time; storage; storage space", treatment = "T Theoretical or Mathematical", } @Article{Buell:1984:ESU, author = "Duncan A. Buell", title = "The expectation of success using a {Monte Carlo} factoring method---some statistics on quadratic class numbers", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "313--327", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11Y05 (11A51 11R29 11Y40)", MRnumber = "85k:11068", MRreviewer = "Henri Cohen", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0240G (Monte Carlo methods); B0250 (Combinatorial mathematics); C1140G (Monte Carlo methods); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., Lousiana State Univ., Baton Rouge, LA, USA", keywords = "class groups; equivalence classes; expectation of; imaginary quadratic fields; integer factoring; Monte Carlo factoring method; Monte Carlo methods; number theory; numbers; quadratic class; quadratic fields; results; statistical; success", treatment = "T Theoretical or Mathematical", } @Article{Adams:1984:SQP, author = "William W. Adams", title = "Splitting of Quartic Polynomials", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "329--343", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "12E10 (11R09 11R27)", MRnumber = "85f:12005", MRreviewer = "K. Lakkis", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Maryland Univ., College Park, MD, USA", keywords = "detailed deterministic; polynomials; procedure; quartic polynomials; reciprocal polynomials; recursion; splitting", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1984:TEF, author = "Henry E. Fettis", title = "Table errata: {{\em Formulas and theorems for the special functions of mathematical physics} [second edition, Springer, Berlin, 1948 and 38] by W. Magnus MR {\bf 10} and F. Oberhettinger. (German)}", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "346--346", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "00A22", MRnumber = "85e:00021", bibdate = "Wed Jan 15 09:18:22 1997", acknowledgement = ack-nhfb, } @Article{Salzer:1984:TET, author = "Herbert E. Salzer", title = "Table errata: {{\em Table of sines and cosines to ten decimal places at thousandths of a degree} [Pergamon, New York, 1962 and MR {\bf 26} \#361] by Salzer and N. Levine.}", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "346--346", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "00A22 (65A05)", MRnumber = "85e:00022", bibdate = "Wed Jan 15 09:18:29 1997", acknowledgement = ack-nhfb, } @Article{Fairweather:1984:CCS, author = "G. Fairweather", title = "Corrigenda: {{``A computational study of finite element methods for second-order linear two-point boundary value problems''} [Math. Comp. {\bf 40} (1983), no. 162, 499--518, MR 84c:65103] by Fairweather, P. Keast and J. C. Diaz}", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "347--347", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65L10 (65N30 65N35)", MRnumber = "85h:65161", bibdate = "Wed Jan 15 09:18:10 1997", acknowledgement = ack-nhfb, } @Article{Lax:1984:CEF, author = "M. Lax and G. P. Agrawal", title = "Corrigenda: {``Evaluation of Fourier integrals using $B$-splines''} {[Math. Comp. {\bf 39} (1982), no. 160, 535--548, MR 83i:65021]}", journal = j-MATH-COMPUT, volume = "43", number = "167", pages = "347--347", month = jul, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D30 (42A15 65R10)", MRnumber = "85g:65030", bibdate = "Wed Jan 15 09:18:26 1997", acknowledgement = ack-nhfb, } @Article{Bales:1984:SSSb, author = "Laurence A. Bales", title = "Supplement to: {``Semidiscrete and single step fully discrete approximations for second order hyperbolic equations with time-dependent coefficients''}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "S1--S12", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60 (65M20)", MRnumber = "86g:65179b", MRreviewer = "Randall J. LeVeque", bibdate = "Mon Jul 26 15:51:52 1999", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Gautschi:1984:MYL, author = "Walter Gautschi and Jet Wimp", title = "In memoriam: {Yudell L. Luke, June 26, 1918--May 6, 1983}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "349--352", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "01A70", MRnumber = "86b:01033", bibdate = "Sat Jan 11 13:29:06 MST 1997", acknowledgement = ack-nhfb, } @Article{Tadmor:1984:LTB, author = "Eitan Tadmor", title = "The large-time behavior of the scalar, genuinely nonlinear {Lax--Friedrichs} scheme", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "353--368", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M05 (35L65)", MRnumber = "86g:65162", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Tadmor:1984:NVE, author = "Eitan Tadmor", title = "Numerical viscosity and the entropy condition for conservative difference schemes", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "369--381", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M05 (35L65)", MRnumber = "86g:65163", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "NASA Langley Res. Centre, Hampton, VI, USA", keywords = "conservative; convergence of numerical methods; difference equations; difference schemes; entropy; entropy condition; entropy inequality; entropy satisfying convergence; numerical viscosity; viscosity; weak solution", treatment = "T Theoretical or Mathematical", } @Article{Bales:1984:SSSa, author = "Laurence A. Bales", title = "Semidiscrete and Single Step Fully Discrete Approximations for Second Order Hyperbolic Equations With Time-Dependent Coefficients", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "383--414", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M60 (65M20)", MRnumber = "86g:65179a", MRreviewer = "Randall J. LeVeque", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Friedman:1984:FEF, author = "Mark J. Friedman", title = "Finite element formulation of the general magnetostatic problem in the space of solenoidal vector functions", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "415--431", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "78A30 (65N30 78-08)", MRnumber = "86f:78008", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A4110D (Electrostatics, magnetostatics); B0180 (Other general electrical engineering topics); B0290B (Error analysis in numerical methods); B0290R (Integral equations); B5120 (Magnetostatics); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Iowa State Univ., Ames, IA, USA", keywords = "boundary; bounded ferromagnetic domain; discretization; element method; error analysis; finite; finite element analysis; general; integral equations; iron domain; iterative methods; Lipschitz boundary; magnetic; magnetostatic problem; magnetostatics; monotone operators; permeability; singular integral operator; solenoidal vector functions", treatment = "T Theoretical or Mathematical", } @Article{Pasciak:1984:NSP, author = "Joseph E. Pasciak", title = "A new scalar potential formulation of the magnetostatic field problem", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "433--445", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "78A30 (65N30)", MRnumber = "86f:78009", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A4110D (Electrostatics, magnetostatics); B0290R (Integral equations)B5120 (Magnetostatics); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math., Brookhaven Nat. Lab., Upton, NY, USA", keywords = "boundary; computational; convergence; integral; integral equations; integral operator; intensity; magnetic; magnetic fields; magnetostatic field problem; magnetostatics; method; nonlinear static magnetic field; numerical methods; permeability errors; potential formulation; scalar; spectral properties; stability theorems; volume integral formulation", treatment = "T Theoretical or Mathematical", } @Article{Friedman:1984:SPM, author = "Mark J. Friedman and Joseph E. Pasciak", title = "Spectral properties for the magnetization integral operator", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "447--453", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "78A30 (47G05)", MRnumber = "86f:78007", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "A0260 (Numerical approximation and analysis); A4110D (Electrostatics, magnetostatics); B0290R (Integral equations)B5120 (Magnetostatics); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math., Brookhaven Nat. Lab., Upton, NY, USA", keywords = "boundary-value problems; fields; identity map; integral equations; integral formulation; invariant subspaces; Lipschitz continuous boundary; magnetic; magnetisation; magnetization integral operator; magnetostatics; nonlinear magnetostatic field problems; numerical; positive definite bounded operator; singular integral operator; space; spectral decomposition; spectral properties; techniques; three dimensional Euclidean; zero map", treatment = "T Theoretical or Mathematical", } @Article{Eggermont:1984:APQ, author = "P. P. B. Eggermont", title = "Approximation properties of quadrature methods for {Volterra} integral equations of the first kind", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "455--471", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65R20 (45L05)", MRnumber = "86c:65152", MRreviewer = "Sean McKee", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290R (Integral equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math. Sci., Delaware Univ., Newark, DE, USA", keywords = "approximation properties; approximation theory; asymptotic repetition factor; asymptotically optimal; collocation-projection; convergence of numerical methods; cyclic; error analysis; error estimates; function approximation; integral equations; iterative methods; linear multistep; methods; minimal smoothness conditions; quadrature methods; reducible quadrature methods; stable; Volterra integral equations; zero-", treatment = "T Theoretical or Mathematical", } @Article{Rheinboldt:1984:DAS, author = "Werner C. Rheinboldt", title = "Differential-algebraic systems as differential equations on manifolds", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "473--482", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "58F99 (34A15 65L99)", MRnumber = "86c:58131", MRreviewer = "Fran{\c{c}}ois Aribaud", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Stewart:1984:ABS, author = "G. W. Stewart", title = "On the Asymptotic Behavior of Scaled Singular Value and {QR} Decompositions", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "483--489", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65F35 (15A23 65D10)", MRnumber = "86f:65085", MRreviewer = "Alan L. Andrew", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Theory/Matrix.bib", acknowledgement = ack-nhfb, kwds = "la, qrd, svd, scaling", } @Article{Demko:1984:DRI, author = "Stephen Demko and William F. Moss and Philip W. Smith", title = "Decay Rates for Inverses of Band Matrices", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "491--499", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "15A09 (15A60 65F15)", MRnumber = "85m:15002", MRreviewer = "Donald Kershaw", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{McCurdy:1984:ACD, author = "A. McCurdy and K. C. Ng and B. N. Parlett", title = "Accurate computation of divided differences of the exponential function", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "501--528", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20 (33A10 65G05)", MRnumber = "86e:65029", MRreviewer = "S. Conde", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Shawyer:1984:BAP, author = "B. L. R. Shawyer", title = "Best Approximation of Positive Power Series", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "529--534", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A10 (41A50)", MRnumber = "86g:41014", MRreviewer = "S. Aljan{\v{c}}i{\'c}", 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., Western Ontario Univ., London, Ont., Canada", keywords = "convergence; convergence of numerical methods; errors; function approximation; moment sequence; positive power series; series (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Dyn:1984:CHB, author = "Nira Dyn", title = "Composite {Hermite--Birkhoff} quadrature formulas of {Gaussian} type", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "535--541", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "41A55 (41A50)", MRnumber = "85k:41043", MRreviewer = "Yury Girshovich", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Kautsky:1984:GQJ, author = "J. Kautsk{\'y} and S. Elhay", title = "{Gauss} Quadratures and {Jacobi} Matrices for Weight Functions Not of One Sign", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "543--550", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D32 (41A55 65F15)", MRnumber = "86f:65049", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Newman:1984:ABS, author = "J. N. Newman", title = "Approximations for the {Bessel} and {Struve} functions", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "551--556", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65D20 (33A40)", MRnumber = "86c:65021", MRreviewer = "S. Conde", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C1120 (Mathematical analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Ocean Eng., MIT, Cambridge, MA, USA", keywords = "accuracy; Bessel functions; function approximation; functions; IBM PC computer; minimax; polynomial approximations; polynomials; rational-fraction approximations; single-precision computations; Struve", treatment = "T Theoretical or Mathematical", } @Article{Fettis:1984:MTI, author = "Henry E. Fettis", title = "More Trigonometric Integrals", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "557--564", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "33A10 (26A42)", MRnumber = "86f:33001", MRreviewer = "S. Conde", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Spoletini:1984:GPF, author = "Enrico Spoletini", title = "Generation of permutations following {Lehmer} and {Howell}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "565--572", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "05A05", MRnumber = "86h:05006", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Plesken:1984:LSD, author = "W. Plesken and W. Hanrath", title = "The Lattices of Six-Dimensional {Euclidean} Space", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "573--587", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11H06 (20H15 52A43)", MRnumber = "85m:11036", MRreviewer = "C. G. Lekkerkerker", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Grone:1984:ASI, author = "Robert Grone and Russell Merris", title = "An Algorithm for the Second Immanant", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "589--591", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "15A15 (05C50 20C30)", MRnumber = "85i:15008", MRreviewer = "Uno Kaljulaid", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Boyd:1984:PNN, author = "David W. Boyd", title = "{Pisot} numbers in the neighborhood of a limit point. {II}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "593--602", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11R06", MRnumber = "87c:11096b", MRreviewer = "Marthe Grandet", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Hudson:1984:PSP, author = "Richard H. Hudson", title = "Products and Sums of Powers of Binomial Coefficients $\operatorname{mod} p$ and Solutions of Certain Quaternary {Diophantine} Systems", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "603--613", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11D09 (11E20)", MRnumber = "87e:11035", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Godwin:1984:CQF, author = "H. J. Godwin", title = "Corrigenda: {``On quartic fields of signature one with small discriminant. II''}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "621--621", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11R16 (11R29)", MRnumber = "85i:11092b", MRreviewer = "Duncan A. Buell", bibdate = "Wed Jan 15 09:18:32 1997", acknowledgement = ack-nhfb, } @Article{Vaughan:1984:CDQ, author = "Theresa P. Vaughan", title = "Corrigenda: {``The discriminant of a quadratic extension of an algebraic field''} {[Math. Comp. {\bf 40} (1983), no. 162, 685--707, MR 84e:12006]}", journal = j-MATH-COMPUT, volume = "43", number = "168", pages = "621--621", month = oct, year = "1984", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "11R29 (11R11)", MRnumber = "85k:11061", bibdate = "Wed Jan 15 09:18:35 1997", acknowledgement = ack-nhfb, } @Article{Gautschi:1985:SGQ, author = "Walter Gautschi and Gradimir V. Milovanovic", title = "Supplement to {Gaussian} Quadrature Involving {Einstein} and {Fermi} Functions with an Application to Summation of Series", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "S1--S11", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Graimain:1985:SCA, author = "F. Graimain and M. Weber", title = "Supplement to Computing an Arithmetic Constant Related to the Ring of {Gaussian} Integers", journal = j-MATH-COMPUT, volume = "44", number = "169", pages = "S13--S16", month = jan, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database", acknowledgement = ack-nhfb, } @Article{Osher:1985:ECS, author