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 76, Number 260
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Mixed finite element methods for linear elasticity with weakly imposed symmetry: Douglas N. Arnold, Richard S. Falk and Ragnar Winther;; Math. Comp. 76 (2007), 1699-1723; DOI: https://doi.org/10.1090/S0025-5718-07-01998-9; Published electronically: May 9, 2007; HTML | PDF

Sharply localized pointwise and $W_\infty ^{-1}$ estimates for finite element methods for quasilinear problems: Alan Demlow;; Math. Comp. 76 (2007), 1725-1741; DOI: https://doi.org/10.1090/S0025-5718-07-01983-7; Published electronically: April 23, 2007; PDF

A dual finite element complex on the barycentric refinement: Annalisa Buffa and Snorre H. Christiansen;; Math. Comp. 76 (2007), 1743-1769; DOI: https://doi.org/10.1090/S0025-5718-07-01965-5; Published electronically: May 3, 2007; PDF

Two lower order nonconforming rectangular elements for the Reissner-Mindlin plate: Jun Hu and Zhong-Ci Shi;; Math. Comp. 76 (2007), 1771-1786; DOI: https://doi.org/10.1090/S0025-5718-07-01952-7; Published electronically: May 24, 2007; PDF

Sharp estimates for finite element approximations to elliptic problems with Neumann boundary data of low regularity: Aaron Solo;; Math. Comp. 76 (2007), 1787-1800; DOI: https://doi.org/10.1090/S0025-5718-07-01993-X; Published electronically: May 3, 2007; PDF

HP a-priori error estimates for a non-dissipative spectral discontinuous Galerkin method to solve the Maxwell equations in the time domain: S. Pernet and X. Ferrieres;; Math. Comp. 76 (2007), 1801-1832; DOI: https://doi.org/10.1090/S0025-5718-07-01991-6; Published electronically: April 20, 2007; PDF

Discrete maximum principle for higher-order finite elements in 1D: Tomáš Vejchodský and Pavel Šolín;; Math. Comp. 76 (2007), 1833-1846; DOI: https://doi.org/10.1090/S0025-5718-07-02022-4; Published electronically: April 30, 2007; PDF

Constraint preserving implicit finite element discretization of harmonic map flow into spheres: Sören Bartels and Andreas Prohl;; Math. Comp. 76 (2007), 1847-1859; DOI: https://doi.org/10.1090/S0025-5718-07-02026-1; Published electronically: May 24, 2007; PDF

Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations: Guy Barles and Espen R. Jakobsen;; Math. Comp. 76 (2007), 1861-1893; DOI: https://doi.org/10.1090/S0025-5718-07-02000-5; Published electronically: April 20, 2007; PDF

An exponentially convergent algorithm for nonlinear differential equations in Banach spaces: Ivan P. Gavrilyuk and Volodymyr L. Makarov;; Math. Comp. 76 (2007), 1895-1923; DOI: https://doi.org/10.1090/S0025-5718-07-01987-4; Published electronically: April 19, 2007; PDF

A model for peak formation in the two-phase equations: Björn Sjögreen, Katarina Gustavsson and Reynir Levi Gudmundsson;; Math. Comp. 76 (2007), 1925-1940; DOI: https://doi.org/10.1090/S0025-5718-07-01992-8; Published electronically: May 30, 2007; PDF

Numerical integrators based on modified differential equations: Philippe Chartier, Ernst Hairer and Gilles Vilmart;; Math. Comp. 76 (2007), 1941-1953; DOI: https://doi.org/10.1090/S0025-5718-07-01967-9; Published electronically: May 9, 2007; PDF

The Construction of cubature rules for multivariate highly oscillatory integrals: Daan Huybrechs and Stefan Vandewalle;; Math. Comp. 76 (2007), 1955-1980; DOI: https://doi.org/10.1090/S0025-5718-07-01937-0; Published electronically: April 27, 2007; PDF

On geometric interpolation by planar parametric polynomial curves: Gašper Jaklič, Jernej Kozak, Marjeta Krajnc and Emil Žagar;; Math. Comp. 76 (2007), 1981-1993; DOI: https://doi.org/10.1090/S0025-5718-07-01988-6; Published electronically: May 9, 2007; PDF

A multidimensional continued fraction based on a high-order recurrence relation: Yves Tourigny and Nigel P. Smart;; Math. Comp. 76 (2007), 1995-2022; DOI: https://doi.org/10.1090/S0025-5718-07-02020-0; Published electronically: May 11, 2007; PDF

Rational Landen transformations on $\mathbb {R}$: Dante Manna and Victor H. Moll;; Math. Comp. 76 (2007), 2023-2043; DOI: https://doi.org/10.1090/S0025-5718-07-01954-0; Published electronically: May 3, 2007; PDF

Zeros of the Davenport-Heilbronn counterexample: Eugenio P. Balanzario and Jorge Sánchez-Ortiz;; Math. Comp. 76 (2007), 2045-2049; DOI: https://doi.org/10.1090/S0025-5718-07-01999-0; Published electronically: May 9, 2007; PDF

Computing $L$-functions with large conductor: Jeffrey Stopple;; Math. Comp. 76 (2007), 2051-2062; DOI: https://doi.org/10.1090/S0025-5718-07-01994-1; Published electronically: April 19, 2007; PDF

On the embedding problem for $2^+S_4$ representations: Ariel Pacetti;; Math. Comp. 76 (2007), 2063-2075; DOI: https://doi.org/10.1090/S0025-5718-07-01940-0; Published electronically: April 24, 2007; PDF

The construction of extensible polynomial lattice rules with small weighted star discrepancy: Josef Dick;; Math. Comp. 76 (2007), 2077-2085; DOI: https://doi.org/10.1090/S0025-5718-07-01984-9; Published electronically: May 9, 2007; PDF

A search for Fibonacci-Wieferich and Wolstenholme primes: Richard J. McIntosh and Eric L. Roettger;; Math. Comp. 76 (2007), 2087-2094; DOI: https://doi.org/10.1090/S0025-5718-07-01955-2; Published electronically: April 17, 2007; PDF

Two kinds of strong pseudoprimes up to $10^{36}$: Zhenxiang Zhang;; Math. Comp. 76 (2007), 2095-2107; DOI: https://doi.org/10.1090/S0025-5718-07-01977-1; Published electronically: April 17, 2007; PDF

Odd perfect numbers have at least nine distinct prime factors: Pace P. Nielsen;; Math. Comp. 76 (2007), 2109-2126; DOI: https://doi.org/10.1090/S0025-5718-07-01990-4; Published electronically: May 9, 2007; PDF

Prime decomposition in the anti-cyclotomic extension: David Brink;; Math. Comp. 76 (2007), 2127-2138; DOI: https://doi.org/10.1090/S0025-5718-07-01964-3; Published electronically: April 17, 2007; PDF

A fast, rigorous technique for computing the regulator of a real quadratic field: R. de Haan, M. J. Jacobson Jr. and H. C. Williams;; Math. Comp. 76 (2007), 2139-2160; DOI: https://doi.org/10.1090/S0025-5718-07-01935-7; Published electronically: April 19, 2007; PDF

Efficient CM-constructions of elliptic curves over finite fields: Reinier Bröker and Peter Stevenhagen;; Math. Comp. 76 (2007), 2161-2179; DOI: https://doi.org/10.1090/S0025-5718-07-01980-1; Published electronically: May 3, 2007; PDF

Structure of Gröbner bases with respect to block orders: M’Hammed El Kahoui and Said Rakrak;; Math. Comp. 76 (2007), 2181-2187; DOI: https://doi.org/10.1090/S0025-5718-07-01972-2; Published electronically: April 17, 2007; PDF

Computing Gröbner fans: Komei Fukuda, Anders N. Jensen and Rekha R. Thomas;; Math. Comp. 76 (2007), 2189-2212; DOI: https://doi.org/10.1090/S0025-5718-07-01986-2; Published electronically: May 3, 2007; PDF

Asymptotically fast group operations on Jacobians of general curves: Kamal Khuri-Makdisi;; Math. Comp. 76 (2007), 2213-2239; DOI: https://doi.org/10.1090/S0025-5718-07-01989-8; Published electronically: April 23, 2007; PDF

New techniques for bounds on the total number of prime factors of an odd perfect number: Kevin G. Hare;; Math. Comp. 76 (2007), 2241-2248; DOI: https://doi.org/10.1090/S0025-5718-07-02033-9; Published electronically: May 30, 2007; PDF

Corrigendum to “The holomorphic flow of the Riemann zeta function”: Kevin A. Broughan and A. Ross Barnett;; Math. Comp. 76 (2007), 2249-2250; DOI: https://doi.org/10.1090/S0025-5718-07-02044-3; Published electronically: May 10, 2007; PDF

Errata to “A generalized BPX multigrid framework covering nonnested $V$-cycle methods”: Huo-Yuan Duan, Shao-Qin Gao, Roger C. E. Tan and Shangyou Zhang;; Math. Comp. 76 (2007), 2251-2251; DOI: https://doi.org/10.1090/S0025-5718-07-01997-7; Published electronically: May 10, 2007; PDF

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

Computational methods for multiphase flows in porous media, by Z. Chen, G. Huan and Y. Ma.: Reviewer: Beatrice Riviere; Review information PDF; Math. Comp. 76 (2007), 2253-2255

Deblurring images: Matrices, spectra, and filtering, by Per Christian Hansen, James G. Nagy and Dianne P. O'Leary.: Reviewer: Jackie (Jianhong) Shen; Review information PDF; Math. Comp. 76 (2007), 2256-2258