Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Contents of Volume 73, Number 247
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Convergence of nonconforming $V$-cycle and $F$-cycle multigrid algorithms for second order elliptic boundary value problems
Susanne C. Brenner;
Math. Comp. 73 (2004), 1041-1066
DOI: https://doi.org/10.1090/S0025-5718-03-01578-3
Published electronically: August 19, 2003
Korn’s inequalities for piecewise $H^1$ vector fields
Susanne C. Brenner;
Math. Comp. 73 (2004), 1067-1087
DOI: https://doi.org/10.1090/S0025-5718-03-01579-5
Published electronically: September 26, 2003
Analysis of finite element approximation for time-dependent Maxwell problems
Jun Zhao;
Math. Comp. 73 (2004), 1089-1105
DOI: https://doi.org/10.1090/S0025-5718-03-01603-X
Published electronically: October 2, 2003
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method
W. Dahmen, B. Faermann, I. G. Graham, W. Hackbusch and S. A. Sauter;
Math. Comp. 73 (2004), 1107-1138
DOI: https://doi.org/10.1090/S0025-5718-03-01583-7
Published electronically: July 14, 2003
Analysis of recovery type a posteriori error estimators for mildly structured grids
Jinchao Xu and Zhimin Zhang;
Math. Comp. 73 (2004), 1139-1152
DOI: https://doi.org/10.1090/S0025-5718-03-01600-4
Published electronically: August 19, 2003
All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable
C. Carstensen;
Math. Comp. 73 (2004), 1153-1165
DOI: https://doi.org/10.1090/S0025-5718-03-01580-1
Published electronically: August 12, 2003
An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems
Zhiming Chen and Jia Feng;
Math. Comp. 73 (2004), 1167-1193
DOI: https://doi.org/10.1090/S0025-5718-04-01634-5
Published electronically: January 23, 2004
Piecewise linear finite element methods are not localized
Alan Demlow;
Math. Comp. 73 (2004), 1195-1201
DOI: https://doi.org/10.1090/S0025-5718-03-01584-9
Published electronically: July 14, 2003
Lax theorem and finite volume schemes
Bruno Despres;
Math. Comp. 73 (2004), 1203-1234
DOI: https://doi.org/10.1090/S0025-5718-03-01618-1
Published electronically: November 5, 2003
A relaxation scheme for conservation laws with a discontinuous coefficient
K. H. Karlsen, C. Klingenberg and N. H. Risebro;
Math. Comp. 73 (2004), 1235-1259
DOI: https://doi.org/10.1090/S0025-5718-03-01625-9
Published electronically: December 22, 2003
Existence and asymptotic stability of relaxation discrete shock profiles
Mao Ye;
Math. Comp. 73 (2004), 1261-1296
DOI: https://doi.org/10.1090/S0025-5718-04-01638-2
Published electronically: March 3, 2004
Data-sparse approximation to the operator-valued functions of elliptic operator
Ivan P. Gavrilyuk, Wolfgang Hackbusch and Boris N. Khoromskij;
Math. Comp. 73 (2004), 1297-1324
DOI: https://doi.org/10.1090/S0025-5718-03-01590-4
Published electronically: July 29, 2003
Sinc-Galerkin method for solving linear sixth-order boundary-value problems
Mohamed El-Gamel, John R. Cannon and Ahmed I. Zayed;
Math. Comp. 73 (2004), 1325-1343
DOI: https://doi.org/10.1090/S0025-5718-03-01587-4
Published electronically: July 28, 2003
Local behaviour of polynomials
D. P. Dryanov, M. A. Qazi and Q. I. Rahman;
Math. Comp. 73 (2004), 1345-1364
DOI: https://doi.org/10.1090/S0025-5718-03-01585-0
Published electronically: July 28, 2003
Convexity results and sharp error estimates in approximate multivariate integration
Allal Guessab and Gerhard Schmeisser;
Math. Comp. 73 (2004), 1365-1384
DOI: https://doi.org/10.1090/S0025-5718-03-01622-3
Published electronically: December 19, 2003
A stable test to check if a matrix is a nonsingular $M$-matrix
J. M. Peña;
Math. Comp. 73 (2004), 1385-1392
DOI: https://doi.org/10.1090/S0025-5718-04-01639-4
Published electronically: February 18, 2004
Numerical simulation of stochastic evolution equations associated to quantum Markov semigroups
Carlos M. Mora;
Math. Comp. 73 (2004), 1393-1415
DOI: https://doi.org/10.1090/S0025-5718-03-01595-3
Published electronically: August 4, 2003
Computing Riemann theta functions
Bernard Deconinck, Matthias Heil, Alexander Bobenko, Mark van Hoeij and Marcus Schmies;
Math. Comp. 73 (2004), 1417-1442
DOI: https://doi.org/10.1090/S0025-5718-03-01609-0
Published electronically: December 19, 2003
Bounds for computing the tame kernel
Richard P. Groenewegen;
Math. Comp. 73 (2004), 1443-1458
DOI: https://doi.org/10.1090/S0025-5718-03-01592-8
Published electronically: July 29, 2003
Visualising Sha[2] in Abelian surfaces
Nils Bruin;
Math. Comp. 73 (2004), 1459-1476
DOI: https://doi.org/10.1090/S0025-5718-04-01633-3
Published electronically: January 8, 2004
Computing in groups of Lie type
Arjeh M. Cohen, Scott H. Murray and D. E. Taylor;
Math. Comp. 73 (2004), 1477-1498
DOI: https://doi.org/10.1090/S0025-5718-03-01582-5
Published electronically: July 7, 2003
Computing special powers in finite fields
Joachim von zur Gathen and Michael Nöcker;
Math. Comp. 73 (2004), 1499-1523
DOI: https://doi.org/10.1090/S0025-5718-03-01599-0
Published electronically: September 26, 2003
Stark’s conjecture over complex cubic number fields
David S. Dummit, Brett A. Tangedal and Paul B. van Wamelen;
Math. Comp. 73 (2004), 1525-1546
DOI: https://doi.org/10.1090/S0025-5718-03-01586-2
Published electronically: August 26, 2003
Orthomorphisms and the construction of projective planes
Felix Lazebnik and Andrew Thomason;
Math. Comp. 73 (2004), 1547-1557
DOI: https://doi.org/10.1090/S0025-5718-03-01612-0
Published electronically: July 31, 2003
Biquadratic reciprocity and a Lucasian primality test
Pedro Berrizbeitia and T. G. Berry;
Math. Comp. 73 (2004), 1559-1564
DOI: https://doi.org/10.1090/S0025-5718-03-01575-8
Published electronically: July 1, 2003
Counting primes in residue classes
Marc Deléglise, Pierre Dusart and Xavier-François Roblot;
Math. Comp. 73 (2004), 1565-1575
DOI: https://doi.org/10.1090/S0025-5718-04-01649-7
Published electronically: February 25, 2004

Book Reviews
Book reviews do not contain an abstract. You may download each review in this issue using the links below.

Chebyshev polynomials, by J. C. Mason and D. C. Handscomb.
Level set methods and dynamic implicit surfaces, by Stanley Osher and Ron Fedkiw.
Radial basis functions theory and implementations, by M. D. Buhmann.
Cryptographic applications of analytic number theory, by I. Shparlinski.
RSA and public-key cryptography, by R. A. Mollin.
Reviewer: Christine Bernardi
Reviewer: Tariq Aslam
Reviewer: Jeremy Levesley
Reviewer: H. Niederreiter
Reviewer: Igor Shparlinski
Review information PDF
Math. Comp. 73 (2004), 1577-1582