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?

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Contents of Volume 79, Number 270
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On the accuracy of the finite element method plus time relaxation: J. Connors and W. Layton;; Math. Comp. 79 (2010), 619-648; DOI: https://doi.org/10.1090/S0025-5718-09-02316-3; Published electronically: December 16, 2009; PDF

A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case: R. Eymard, T. Gallouët, R. Herbin and J. C. Latché;; Math. Comp. 79 (2010), 649-675; DOI: https://doi.org/10.1090/S0025-5718-09-02310-2; Published electronically: December 8, 2009; PDF

A posteriori error estimation for $hp$-adaptivity for fourth-order equations: Peter K. Moore and Marina Rangelova;; Math. Comp. 79 (2010), 677-705; DOI: https://doi.org/10.1090/S0025-5718-09-02290-X; Published electronically: July 22, 2009; PDF

Decoupled schemes for a non-stationary mixed Stokes-Darcy model: Mo Mu and Xiaohong Zhu;; Math. Comp. 79 (2010), 707-731; DOI: https://doi.org/10.1090/S0025-5718-09-02302-3; Published electronically: September 11, 2009; PDF

$H(\mathrm {div})$ preconditioning for a mixed finite element formulation of the diffusion problem with random data: Howard C. Elman, Darran G. Furnival and Catherine E. Powell;; Math. Comp. 79 (2010), 733-760; DOI: https://doi.org/10.1090/S0025-5718-09-02274-1; Published electronically: December 14, 2009; PDF

Integral deferred correction methods constructed with high order Runge–Kutta integrators: Andrew Christlieb, Benjamin Ong and Jing-Mei Qiu;; Math. Comp. 79 (2010), 761-783; DOI: https://doi.org/10.1090/S0025-5718-09-02276-5; Published electronically: September 21, 2009; PDF

Stiffly accurate Runge–Kutta methods for nonlinear evolution problems governed by a monotone operator: Etienne Emmrich and Mechthild Thalhammer;; Math. Comp. 79 (2010), 785-806; DOI: https://doi.org/10.1090/S0025-5718-09-02285-6; Published electronically: July 23, 2009; PDF

Analysis of spectral approximations using prolate spheroidal wave functions: Li-Lian Wang;; Math. Comp. 79 (2010), 807-827; DOI: https://doi.org/10.1090/S0025-5718-09-02268-6; Published electronically: September 17, 2009; PDF

Fast integration of highly oscillatory integrals with exotic oscillators: Shuhuang Xiang and Haiyong Wang;; Math. Comp. 79 (2010), 829-844; DOI: https://doi.org/10.1090/S0025-5718-09-02279-0; Published electronically: August 26, 2009; PDF

Positive interpolatory quadrature rules generated by some biorthogonal polynomials: D. S. Lubinsky and A. Sidi;; Math. Comp. 79 (2010), 845-855; DOI: https://doi.org/10.1090/S0025-5718-09-02299-6; Published electronically: September 18, 2009; PDF

Gaussian quadrature for sums: A rapidly convergent summation scheme: H. Monien;; Math. Comp. 79 (2010), 857-869; DOI: https://doi.org/10.1090/S0025-5718-09-02289-3; Published electronically: July 21, 2009; PDF

On the numerical evaluation of Fredholm determinants: Folkmar Bornemann;; Math. Comp. 79 (2010), 871-915; DOI: https://doi.org/10.1090/S0025-5718-09-02280-7; Published electronically: September 24, 2009; PDF

The structure of balanced multivariate biorthogonal multiwavelets and dual multiframelets: Bin Han;; Math. Comp. 79 (2010), 917-951; DOI: https://doi.org/10.1090/S0025-5718-09-02320-5; Published electronically: December 10, 2009; PDF

On decompositions of multivariate functions: F. Y. Kuo, I. H. Sloan, G. W. Wasilkowski and H. Woźniakowski;; Math. Comp. 79 (2010), 953-966; DOI: https://doi.org/10.1090/S0025-5718-09-02319-9; Published electronically: November 20, 2009; PDF

On the span of polynomials with integer coefficients: Stefano Capparelli, Alberto Del Fra and Carlo Sciò;; Math. Comp. 79 (2010), 967-981; DOI: https://doi.org/10.1090/S0025-5718-09-02292-3; Published electronically: September 8, 2009; PDF

On the exponent of discrepancies: Grzegorz W. Wasilkowski and Henryk Woźniakowski;; Math. Comp. 79 (2010), 983-992; DOI: https://doi.org/10.1090/S0025-5718-09-02314-X; Published electronically: September 28, 2009; PDF

Duality theory and propagation rules for generalized digital nets: Josef Dick and Peter Kritzer;; Math. Comp. 79 (2010), 993-1017; DOI: https://doi.org/10.1090/S0025-5718-09-02315-1; Published electronically: November 17, 2009; PDF

Disk-like tiles and self-affine curves with noncollinear digits: Ibrahim Kirat;; Math. Comp. 79 (2010), 1019-1045; DOI: https://doi.org/10.1090/S0025-5718-09-02301-1; Published electronically: September 24, 2009; PDF

Generators of function fields of the modular curves $X_1(5)$ and $X_1(6)$: Chang Heon Kim and Ja Kyung Koo;; Math. Comp. 79 (2010), 1047-1066; DOI: https://doi.org/10.1090/S0025-5718-09-02303-5; Published electronically: September 11, 2009; PDF

Generalizing circles over algebraic extensions: T. Recio, J. R. Sendra, L. F. Tabera and C. Villarino;; Math. Comp. 79 (2010), 1067-1089; DOI: https://doi.org/10.1090/S0025-5718-09-02284-4; Published electronically: December 14, 2009; PDF

On equations of double planes with $p_g=q=1$: Carlos Rito;; Math. Comp. 79 (2010), 1091-1108; DOI: https://doi.org/10.1090/S0025-5718-09-02283-2; Published electronically: September 2, 2009; PDF

Bounding the sum of square roots via lattice reduction: Qi Cheng, Xianmeng Meng, Celi Sun and Jiazhe Chen;; Math. Comp. 79 (2010), 1109-1122; DOI: https://doi.org/10.1090/S0025-5718-09-02304-7; Published electronically: September 30, 2009; PDF

The fifteen theorem for universal Hermitian lattices over imaginary quadratic fields: Byeong Moon Kim, Ji Young Kim and Poo-Sung Park;; Math. Comp. 79 (2010), 1123-1144; DOI: https://doi.org/10.1090/S0025-5718-09-02287-X; Published electronically: July 16, 2009; PDF

Proving modularity for a given elliptic curve over an imaginary quadratic field: Luis Dieulefait, Lucio Guerberoff and Ariel Pacetti;; Math. Comp. 79 (2010), 1145-1170; DOI: https://doi.org/10.1090/S0025-5718-09-02291-1; Published electronically: August 4, 2009; PDF

On the existence and non-existence of elliptic pseudoprimes: Siguna Müller;; Math. Comp. 79 (2010), 1171-1190; DOI: https://doi.org/10.1090/S0025-5718-09-02275-3; Published electronically: October 16, 2009; PDF

Factorization with genus 2 curves: Romain Cosset;; Math. Comp. 79 (2010), 1191-1208; DOI: https://doi.org/10.1090/S0025-5718-09-02295-9; Published electronically: August 20, 2009; PDF

Average prime-pair counting formula: Jaap Korevaar and Herman te Riele;; Math. Comp. 79 (2010), 1209-1229; DOI: https://doi.org/10.1090/S0025-5718-09-02312-6; Published electronically: September 25, 2009; PDF

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

A computational introduction to number theory and algebra, by Victor Shoup.: Reviewer: Gregor Kemper; Review information PDF; Math. Comp. 79 (2010), 1231-1232