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 78, Number 268
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Multilevel finite element preconditioning for $\sqrt {3}$ refinement: Jan Maes and Peter Oswald;; Math. Comp. 78 (2009), 1869-1890; DOI: https://doi.org/10.1090/S0025-5718-09-02246-7; Published electronically: May 5, 2009; PDF

A piecewise linear finite element method for the buckling and the vibration problems of thin plates: David Mora and Rodolfo Rodríguez;; Math. Comp. 78 (2009), 1891-1917; DOI: https://doi.org/10.1090/S0025-5718-09-02228-5; Published electronically: February 3, 2009; PDF

A symmetric error estimate for Galerkin approximations of time-dependent Navier-Stokes equations in two dimensions: Todd F. Dupont and Itir Mogultay;; Math. Comp. 78 (2009), 1919-1927; DOI: https://doi.org/10.1090/S0025-5718-09-02243-1; Published electronically: February 16, 2009; PDF

An $\boldsymbol {E}$-based mixed formulation for a time-dependent eddy current problem: Ramiro Acevedo, Salim Meddahi and Rodolfo Rodríguez;; Math. Comp. 78 (2009), 1929-1949; DOI: https://doi.org/10.1090/S0025-5718-09-02254-6; Published electronically: June 3, 2009; PDF

A new approach to Richardson extrapolation in the finite element method for second order elliptic problems: M. Asadzadeh, A. H. Schatz and W. Wendland;; Math. Comp. 78 (2009), 1951-1973; DOI: https://doi.org/10.1090/S0025-5718-09-02241-8; Published electronically: February 11, 2009; PDF

Discontinuous Galerkin method for an evolution equation with a memory term of positive type: Kassem Mustapha and William McLean;; Math. Comp. 78 (2009), 1975-1995; DOI: https://doi.org/10.1090/S0025-5718-09-02234-0; Published electronically: February 23, 2009; PDF

Local oscillations in finite difference solutions of hyperbolic conservation laws: Jiequan Li, Huazhong Tang, Gerald Warnecke and Lumei Zhang;; Math. Comp. 78 (2009), 1997-2018; DOI: https://doi.org/10.1090/S0025-5718-09-02219-4; Published electronically: January 28, 2009; PDF

First derivatives estimates for finite-difference schemes: István Gyöngy and Nicolai Krylov;; Math. Comp. 78 (2009), 2019-2046; DOI: https://doi.org/10.1090/S0025-5718-09-02229-7; Published electronically: February 11, 2009; PDF

Conservative stochastic differential equations: Mathematical and numerical analysis: Erwan Faou and Tony Lelièvre;; Math. Comp. 78 (2009), 2047-2074; DOI: https://doi.org/10.1090/S0025-5718-09-02220-0; Published electronically: January 30, 2009; PDF

Solving parabolic stochastic partial differential equations via averaging over characteristics: G. N. Milstein and M. V. Tretyakov;; Math. Comp. 78 (2009), 2075-2106; DOI: https://doi.org/10.1090/S0025-5718-09-02250-9; Published electronically: March 6, 2009; PDF

On the asymptotics of the trapezoidal rule for the pantograph equation: J. Čermák and J. Jánský;; Math. Comp. 78 (2009), 2107-2126; DOI: https://doi.org/10.1090/S0025-5718-09-02245-5; Published electronically: March 4, 2009; PDF

Convergence of the linearized Bregman iteration for $\ell _1$-norm minimization: Jian-Feng Cai, Stanley Osher and Zuowei Shen;; Math. Comp. 78 (2009), 2127-2136; DOI: https://doi.org/10.1090/S0025-5718-09-02242-X; Published electronically: March 6, 2009; PDF

General order multivariate Padé approximants for Pseudo-multivariate functions. II: Ping Zhou, Annie Cuyt and Jieqing Tan;; Math. Comp. 78 (2009), 2137-2155; DOI: https://doi.org/10.1090/S0025-5718-09-02226-1; Published electronically: February 2, 2009; PDF

Error and stability estimates for surface-divergence free RBF interpolants on the sphere: Edward J. Fuselier, Francis J. Narcowich, Joseph D. Ward and Grady B. Wright;; Math. Comp. 78 (2009), 2157-2186; DOI: https://doi.org/10.1090/S0025-5718-09-02214-5; Published electronically: January 22, 2009; PDF

High precision computation of a constant in the theory of trigonometric series: J. Arias de Reyna and J. van de Lune;; Math. Comp. 78 (2009), 2187-2191; DOI: https://doi.org/10.1090/S0025-5718-09-02222-4; Published electronically: February 9, 2009; PDF

Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials: Qiu-Ming Luo;; Math. Comp. 78 (2009), 2193-2208; DOI: https://doi.org/10.1090/S0025-5718-09-02230-3; Published electronically: June 12, 2009; PDF

A new multidimensional continued fraction algorithm: Jun-ichi Tamura and Shin-ichi Yasutomi;; Math. Comp. 78 (2009), 2209-2222; DOI: https://doi.org/10.1090/S0025-5718-09-02217-0; Published electronically: January 29, 2009; PDF

Optimized general sparse grid approximation spaces for operator equations: M. Griebel and S. Knapek;; Math. Comp. 78 (2009), 2223-2257; DOI: https://doi.org/10.1090/S0025-5718-09-02248-0; Published electronically: April 23, 2009; PDF

An algorithm for finding a nearly minimal balanced set in $\mathbb {F}_p$: Zhivko Nedev;; Math. Comp. 78 (2009), 2259-2267; DOI: https://doi.org/10.1090/S0025-5718-09-02237-6; Published electronically: March 26, 2009; PDF

The ratio monotonicity of the Boros-Moll polynomials: William Y. C. Chen and Ernest X. W. Xia;; Math. Comp. 78 (2009), 2269-2282; DOI: https://doi.org/10.1090/S0025-5718-09-02223-6; Published electronically: February 11, 2009; PDF

Computing prime harmonic sums: Eric Bach, Dominic Klyve and Jonathan P. Sorenson;; Math. Comp. 78 (2009), 2283-2305; DOI: https://doi.org/10.1090/S0025-5718-09-02249-2; Published electronically: April 3, 2009; PDF

Computation of $p$-units in ray class fields of real quadratic number fields: Hugo Chapdelaine;; Math. Comp. 78 (2009), 2307-2345; DOI: https://doi.org/10.1090/S0025-5718-09-02215-7; Published electronically: January 29, 2009; PDF

Two-cover descent on hyperelliptic curves: Nils Bruin and Michael Stoll;; Math. Comp. 78 (2009), 2347-2370; DOI: https://doi.org/10.1090/S0025-5718-09-02255-8; Published electronically: March 11, 2009; PDF

Computation of highly ramified coverings: Raimundas Vidūnas and Alexander V. Kitaev;; Math. Comp. 78 (2009), 2371-2395; DOI: https://doi.org/10.1090/S0025-5718-09-02233-9; Published electronically: February 11, 2009; PDF

Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves: Grigor Grigorov, Andrei Jorza, Stefan Patrikis, William A. Stein and Corina Tarniţǎ;; Math. Comp. 78 (2009), 2397-2425; DOI: https://doi.org/10.1090/S0025-5718-09-02253-4; Published electronically: June 8, 2009; PDF

Algebraic solutions of Jacobi equations: S. C. Coutinho and Marcos da Silva Ferreira;; Math. Comp. 78 (2009), 2427-2433; DOI: https://doi.org/10.1090/S0025-5718-09-02238-8; Published electronically: May 1, 2009; PDF

A new algorithm to search for small nonzero $|x^3-y^2|$ values: I. Jiménez Calvo, J. Herranz and G. Sáez;; Math. Comp. 78 (2009), 2435-2444; DOI: https://doi.org/10.1090/S0025-5718-09-02240-6; Published electronically: February 13, 2009; PDF

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

The matrix eigenvalue problem: GR and Krylov subspace methods, by David S. Watkins.: Reviewer: Daniel B. Szyld; Review information PDF; Math. Comp. 78 (2009), 2445-2446