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 83, Number 289
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Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations: Natalia Kopteva;; Math. Comp. 83 (2014), 2061-2070; DOI: https://doi.org/10.1090/S0025-5718-2014-02820-2; Published electronically: February 28, 2014; PDF

Energy consistent discontinuous Galerkin methods for the Navier–Stokes–Korteweg system: Jan Giesselmann, Charalambos Makridakis and Tristan Pryer;; Math. Comp. 83 (2014), 2071-2099; DOI: https://doi.org/10.1090/S0025-5718-2014-02792-0; Published electronically: January 8, 2014; PDF

A weak Galerkin mixed finite element method for second order elliptic problems: Junping Wang and Xiu Ye;; Math. Comp. 83 (2014), 2101-2126; DOI: https://doi.org/10.1090/S0025-5718-2014-02852-4; Published electronically: May 5, 2014; PDF

Approximation classes for adaptive higher order finite element approximation: Fernando D. Gaspoz and Pedro Morin;; Math. Comp. 83 (2014), 2127-2160; DOI: https://doi.org/10.1090/S0025-5718-2013-02777-9; Published electronically: December 17, 2013; PDF

Linear finite element superconvergence on simplicial meshes: Jie Chen, Desheng Wang and Qiang Du;; Math. Comp. 83 (2014), 2161-2185; DOI: https://doi.org/10.1090/S0025-5718-2014-02810-X; Published electronically: February 12, 2014; PDF

Conditioning of finite element equations with arbitrary anisotropic meshes: Lennard Kamenski, Weizhang Huang and Hongguo Xu;; Math. Comp. 83 (2014), 2187-2211; DOI: https://doi.org/10.1090/S0025-5718-2014-02822-6; Published electronically: March 5, 2014; PDF

Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem: Zhengfu Xu;; Math. Comp. 83 (2014), 2213-2238; DOI: https://doi.org/10.1090/S0025-5718-2013-02788-3; Published electronically: December 18, 2013; PDF

Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions: Liangyue Ji, Paulien van Slingerland, Jennifer K. Ryan and Kees Vuik;; Math. Comp. 83 (2014), 2239-2262; DOI: https://doi.org/10.1090/S0025-5718-2014-02835-4; Published electronically: April 9, 2014; PDF

An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing: Deren Han, Xiaoming Yuan and Wenxing Zhang;; Math. Comp. 83 (2014), 2263-2291; DOI: https://doi.org/10.1090/S0025-5718-2014-02829-9; Published electronically: April 1, 2014; PDF

Optimal simulation schemes for Lévy driven stochastic differential equations: Arturo Kohatsu-Higa, Salvador Ortiz-Latorre and Peter Tankov;; Math. Comp. 83 (2014), 2293-2324; DOI: https://doi.org/10.1090/S0025-5718-2013-02786-X; Published electronically: December 17, 2013; PDF

Strong order of convergence of a fully discrete approximation of a linear stochastic Volterra type evolution equation: Mihály Kovács and Jacques Printems;; Math. Comp. 83 (2014), 2325-2346; DOI: https://doi.org/10.1090/S0025-5718-2014-02803-2; Published electronically: January 27, 2014; PDF

Fast computation of the multidimensional discrete Fourier transform and discrete backward Fourier transform on sparse grids: Ying Jiang and Yuesheng Xu;; Math. Comp. 83 (2014), 2347-2384; DOI: https://doi.org/10.1090/S0025-5718-2014-02785-3; Published electronically: February 11, 2014; PDF

A novel series expansion for the multivariate normal probability integrals based on Fourier series: Hatem A. Fayed and Amir F. Atiya;; Math. Comp. 83 (2014), 2385-2402; DOI: https://doi.org/10.1090/S0025-5718-2014-02844-5; Published electronically: April 17, 2014; PDF

Finite difference weights, spectral differentiation, and superconvergence: Burhan Sadiq and Divakar Viswanath;; Math. Comp. 83 (2014), 2403-2427; DOI: https://doi.org/10.1090/S0025-5718-2014-02798-1; Published electronically: January 6, 2014; PDF

On the Multidimensional Distribution of the Naor–Reingold Pseudo-Random Function: San Ling, Igor Shparlinski and Huaxiong Wang;; Math. Comp. 83 (2014), 2429-2434; DOI: https://doi.org/10.1090/S0025-5718-2014-02794-4; Published electronically: January 17, 2014; PDF

On the number of prime factors of an odd perfect number: Pascal Ochem and Michaël Rao;; Math. Comp. 83 (2014), 2435-2439; DOI: https://doi.org/10.1090/S0025-5718-2013-02776-7; Published electronically: November 20, 2013; PDF

An infinite family of perfect parallelepipeds: Benjamin D. Sokolowsky, Amy G. VanHooft, Rachel M. Volkert and Clifford A. Reiter;; Math. Comp. 83 (2014), 2441-2454; DOI: https://doi.org/10.1090/S0025-5718-2013-02791-3; Published electronically: November 18, 2013; PDF

Period computations for covers of elliptic curves: Simon Rubinstein-Salzedo;; Math. Comp. 83 (2014), 2455-2470; DOI: https://doi.org/10.1090/S0025-5718-2014-02797-X; Published electronically: January 13, 2014; PDF

A subquadratic algorithm for computing the $n$-th Bernoulli number: David Harvey;; Math. Comp. 83 (2014), 2471-2477; DOI: https://doi.org/10.1090/S0025-5718-2014-02832-9; Published electronically: April 1, 2014; PDF

Computing ideal classes representatives in quaternion algebras: Ariel Pacetti and Nicolás Sirolli;; Math. Comp. 83 (2014), 2479-2507; DOI: https://doi.org/10.1090/S0025-5718-2014-02796-8; Published electronically: January 9, 2014; PDF

Classifying semisimple orbits of $\theta$-groups: Willem A. de Graaf and Francesco Oriente;; Math. Comp. 83 (2014), 2509-2526; DOI: https://doi.org/10.1090/S0025-5718-2014-02812-3; Published electronically: February 19, 2014; PDF

Algorithms for strongly stable ideals: Dennis Moore and Uwe Nagel;; Math. Comp. 83 (2014), 2527-2552; DOI: https://doi.org/10.1090/S0025-5718-2014-02784-1; Published electronically: January 6, 2014; PDF

The ideal of the trifocal variety: Chris Aholt and Luke Oeding;; Math. Comp. 83 (2014), 2553-2574; DOI: https://doi.org/10.1090/S0025-5718-2014-02842-1; Published electronically: April 17, 2014; PDF

Spoof odd perfect numbers: Samuel J. Dittmer;; Math. Comp. 83 (2014), 2575-2582; DOI: https://doi.org/10.1090/S0025-5718-2013-02793-7; Published electronically: October 25, 2013; PDF