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.

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Contents of Volume 75, Number 253
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An observation on Korn’s inequality for nonconforming finite element methods: Kent-Andre Mardal and Ragnar Winther;; Math. Comp. 75 (2006), 1-6; DOI: https://doi.org/10.1090/S0025-5718-05-01783-7; Published electronically: October 21, 2005; PDF

Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid: John W. Barrett, Harald Garcke and Robert Nürnberg;; Math. Comp. 75 (2006), 7-41; DOI: https://doi.org/10.1090/S0025-5718-05-01802-8; Published electronically: October 12, 2005; PDF

Sharp $L^1$ a posteriori error analysis for nonlinear convection-diffusion problems: Zhiming Chen and Guanghua Ji;; Math. Comp. 75 (2006), 43-71; DOI: https://doi.org/10.1090/S0025-5718-05-01778-3; Published electronically: September 29, 2005; PDF

Hierarchical decomposition of domains with fractures: Susanna Gebauer, Ralf Kornhuber and Harry Yserentant;; Math. Comp. 75 (2006), 73-90; DOI: https://doi.org/10.1090/S0025-5718-05-01792-8; Published electronically: October 3, 2005; PDF

A semi-implicit monotone difference scheme for an initial-boundary value problem of a strongly degenerate parabolic equation modeling sedimentation-consolidation processes: Raimund Bürger, Aníbal Coronel and Mauricio Sepúlveda;; Math. Comp. 75 (2006), 91-112; DOI: https://doi.org/10.1090/S0025-5718-05-01787-4; Published electronically: October 21, 2005; PDF

Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method: Mario Ohlberger and Julien Vovelle;; Math. Comp. 75 (2006), 113-150; DOI: https://doi.org/10.1090/S0025-5718-05-01770-9; Published electronically: August 12, 2005; PDF

Stability analysis for delay differential equations with multidelays and numerical examples: Leping Sun;; Math. Comp. 75 (2006), 151-165; DOI: https://doi.org/10.1090/S0025-5718-05-01814-4; Published electronically: September 15, 2005; PDF

The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs: Jialin Hong, Hongyu Liu and Geng Sun;; Math. Comp. 75 (2006), 167-181; DOI: https://doi.org/10.1090/S0025-5718-05-01793-X; Published electronically: September 29, 2005; PDF

Global optimization of explicit strong-stability-preserving Runge-Kutta methods: Steven J. Ruuth;; Math. Comp. 75 (2006), 183-207; DOI: https://doi.org/10.1090/S0025-5718-05-01772-2; Published electronically: September 16, 2005; PDF

An efficient numerical scheme for precise time integration of a diffusion-dissolution/precipitation chemical system: Blaise Faugeras, Jérôme Pousin and Franck Fontvieille;; Math. Comp. 75 (2006), 209-222; DOI: https://doi.org/10.1090/S0025-5718-05-01782-5; Published electronically: September 29, 2005; PDF

Accurate and efficient evaluation of Schur and Jack functions: James Demmel and Plamen Koev;; Math. Comp. 75 (2006), 223-239; DOI: https://doi.org/10.1090/S0025-5718-05-01780-1; Published electronically: August 31, 2005; PDF

Comparison theorems of Kolmogorov type and exact values of $n$-widths on Hardy–Sobolev classes: Gensun Fang and Xuehua Li;; Math. Comp. 75 (2006), 241-258; DOI: https://doi.org/10.1090/S0025-5718-05-01765-5; Published electronically: June 16, 2005; PDF

Wavelet-based filters for accurate computation of derivatives: Maurice Hasson;; Math. Comp. 75 (2006), 259-280; DOI: https://doi.org/10.1090/S0025-5718-05-01767-9; Published electronically: June 23, 2005; PDF

Orthogonal Laurent polynomials corresponding to certain strong Stieltjes distributions with applications to numerical quadratures: C. Díaz-Mendoza, P. González-Vera, M. Jiménez Paiz and F. Cala Rodríguez;; Math. Comp. 75 (2006), 281-305; DOI: https://doi.org/10.1090/S0025-5718-05-01781-3; Published electronically: September 9, 2005; PDF

On computing rational Gauss-Chebyshev quadrature formulas: Joris Van Deun, Adhemar Bultheel and Pablo González Vera;; Math. Comp. 75 (2006), 307-326; DOI: https://doi.org/10.1090/S0025-5718-05-01774-6; Published electronically: October 4, 2005; PDF

Extension of a class of periodizing variable transformations for numerical Integration: Avram Sidi;; Math. Comp. 75 (2006), 327-343; DOI: https://doi.org/10.1090/S0025-5718-05-01773-4; Published electronically: August 31, 2005; PDF

Homotopic residual correction processes: V. Y. Pan, M. Kunin, R. E. Rosholt and H. Kodal;; Math. Comp. 75 (2006), 345-368; DOI: https://doi.org/10.1090/S0025-5718-05-01771-0; Published electronically: July 25, 2005; PDF

Minimality and other properties of the width-$w$ nonadjacent form: James A. Muir and Douglas R. Stinson;; Math. Comp. 75 (2006), 369-384; DOI: https://doi.org/10.1090/S0025-5718-05-01769-2; Published electronically: July 12, 2005; PDF

The trace of totally positive algebraic integers: Julián Aguirre, Mikel Bilbao and Juan Carlos Peral;; Math. Comp. 75 (2006), 385-393; DOI: https://doi.org/10.1090/S0025-5718-05-01776-X; Published electronically: September 12, 2005; PDF

Some remarks on Richardson orbits in complex symmetric spaces: Alfred G. Noël;; Math. Comp. 75 (2006), 395-417; DOI: https://doi.org/10.1090/S0025-5718-05-01784-9; Published electronically: September 29, 2005; PDF

Some heuristics and results for small cycles of the discrete logarithm: Joshua Holden and Pieter Moree;; Math. Comp. 75 (2006), 419-449; DOI: https://doi.org/10.1090/S0025-5718-05-01768-0; Published electronically: June 28, 2005; PDF

Notes on some new kinds of pseudoprimes: Zhenxiang Zhang;; Math. Comp. 75 (2006), 451-460; DOI: https://doi.org/10.1090/S0025-5718-05-01775-8; Published electronically: September 15, 2005; PDF

Gröbner bases and generalized Padé approximation: Jeffrey B. Farr and Shuhong Gao;; Math. Comp. 75 (2006), 461-473; DOI: https://doi.org/10.1090/S0025-5718-05-01790-4; Published electronically: October 12, 2005; PDF

An old conjecture of Erdos–Turán on additive bases: Peter Borwein, Stephen Choi and Frank Chu;; Math. Comp. 75 (2006), 475-484; DOI: https://doi.org/10.1090/S0025-5718-05-01777-1; Published electronically: September 9, 2005; PDF

Normal integral bases for $A_4$ extensions of the rationals: Jean Cougnard;; Math. Comp. 75 (2006), 485-496; DOI: https://doi.org/10.1090/S0025-5718-05-01779-5; Published electronically: September 1, 2005; PDF

Aurifeuillian factorization: Andrew Granville and Peter Pleasants;; Math. Comp. 75 (2006), 497-508; DOI: https://doi.org/10.1090/S0025-5718-05-01766-7; Published electronically: June 16, 2005; PDF

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

Simulating Hamiltonian dynamics, by Benedict Leimkuhler and Sebastian Reich.: Reviewers: Ernst Hairer and Gerhard Wanner; Review information PDF; Math. Comp. 75 (2006), 509-510