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 266
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A multiplicative Schwarz adaptive wavelet method for elliptic boundary value problems: Rob Stevenson and Manuel Werner;; Math. Comp. 78 (2009), 619-644; DOI: https://doi.org/10.1090/S0025-5718-08-02186-8; Published electronically: November 13, 2008; PDF

Error analysis for the elastic flow of parametrized curves: Klaus Deckelnick and Gerhard Dziuk;; Math. Comp. 78 (2009), 645-671; DOI: https://doi.org/10.1090/S0025-5718-08-02176-5; Published electronically: October 17, 2008; PDF

Analysis for quadrilateral MITC elements for the Reissner-Mindlin plate problem: Jun Hu and Zhong-Ci Shi;; Math. Comp. 78 (2009), 673-711; DOI: https://doi.org/10.1090/S0025-5718-08-02153-4; Published electronically: August 1, 2008; PDF

A-priori analysis and the finite element method for a class of degenerate elliptic equations: Hengguang Li;; Math. Comp. 78 (2009), 713-737; DOI: https://doi.org/10.1090/S0025-5718-08-02179-0; Published electronically: September 2, 2008; PDF

On estimators for eigenvalue/eigenvector approximations: Luka Grubišić and Jeffrey S. Ovall;; Math. Comp. 78 (2009), 739-770; DOI: https://doi.org/10.1090/S0025-5718-08-02181-9; Published electronically: November 6, 2008; PDF

An error estimate for two-dimensional Stokes driven cavity flow: Zhiqiang Cai and Yanqiu Wang;; Math. Comp. 78 (2009), 771-787; DOI: https://doi.org/10.1090/S0025-5718-08-02177-7; Published electronically: October 1, 2008; PDF

Deriving a new domain decomposition method for the Stokes equations using the Smith factorization: Victorita Dolean, Frédéric Nataf and Gerd Rapin;; Math. Comp. 78 (2009), 789-814; DOI: https://doi.org/10.1090/S0025-5718-08-02172-8; Published electronically: November 24, 2008; PDF

On spectral approximations in elliptical geometries using Mathieu functions: Jie Shen and Li-Lian Wang;; Math. Comp. 78 (2009), 815-844; DOI: https://doi.org/10.1090/S0025-5718-08-02197-2; Published electronically: November 20, 2008; PDF

Weak order for the discretization of the stochastic heat equation: Arnaud Debussche and Jacques Printems;; Math. Comp. 78 (2009), 845-863; DOI: https://doi.org/10.1090/S0025-5718-08-02184-4; Published electronically: October 7, 2008; PDF

Nonlinear nonoverlapping Schwarz waveform relaxation for semilinear wave propagation: Laurence Halpern and Jérémie Szeftel;; Math. Comp. 78 (2009), 865-889; DOI: https://doi.org/10.1090/S0025-5718-08-02164-9; Published electronically: July 1, 2008; PDF

On the collocation methods for singular integral equations with Hilbert kernel: Jinyuan Du;; Math. Comp. 78 (2009), 891-928; DOI: https://doi.org/10.1090/S0025-5718-08-02182-0; Published electronically: December 10, 2008; PDF

A multiscale method for highly oscillatory ordinary differential equations with resonance: Gil Ariel, Bjorn Engquist and Richard Tsai;; Math. Comp. 78 (2009), 929-956; DOI: https://doi.org/10.1090/S0025-5718-08-02139-X; Published electronically: October 3, 2008; PDF

Unconditional stability of explicit exponential Runge-Kutta methods for semi-linear ordinary differential equations: S. Maset and M. Zennaro;; Math. Comp. 78 (2009), 957-967; DOI: https://doi.org/10.1090/S0025-5718-08-02171-6; Published electronically: August 18, 2008; PDF

Stieltjes-type polynomials on the unit circle: B. de la Calle Ysern, G. López Lagomasino and L. Reichel;; Math. Comp. 78 (2009), 969-997; DOI: https://doi.org/10.1090/S0025-5718-08-02195-9; Published electronically: October 27, 2008; PDF

Discrete Fourier analysis on a dodecahedron and a tetrahedron: Huiyuan Li and Yuan Xu;; Math. Comp. 78 (2009), 999-1029; DOI: https://doi.org/10.1090/S0025-5718-08-02156-X; Published electronically: August 27, 2008; PDF

Rational Szego quadratures associated with Chebyshev weight functions: Adhemar Bultheel, Ruymán Cruz-Barroso, Karl Deckers and Pablo González-Vera;; Math. Comp. 78 (2009), 1031-1059; DOI: https://doi.org/10.1090/S0025-5718-08-02208-4; Published electronically: December 9, 2008; PDF

Evaluating Jacquet’s $\mathbf {\textrm {GL}(n)}$ Whittaker function: Kevin A. Broughan;; Math. Comp. 78 (2009), 1061-1072; DOI: https://doi.org/10.1090/S0025-5718-08-02158-3; Published electronically: August 28, 2008; PDF

Computation of Jacobsthal’s function $h(n)$ for $n<50$.: Thomas R. Hagedorn;; Math. Comp. 78 (2009), 1073-1087; DOI: https://doi.org/10.1090/S0025-5718-08-02166-2; Published electronically: November 20, 2008; PDF

The complexity of class polynomial computation via floating point approximations: Andreas Enge;; Math. Comp. 78 (2009), 1089-1107; DOI: https://doi.org/10.1090/S0025-5718-08-02200-X; Published electronically: November 17, 2008; PDF

A targeted Martinet search: Eric D. Driver and John W. Jones;; Math. Comp. 78 (2009), 1109-1117; DOI: https://doi.org/10.1090/S0025-5718-08-02178-9; Published electronically: August 22, 2008; PDF

Trace of totally positive algebraic integers and integer transfinite diameter: V. Flammang;; Math. Comp. 78 (2009), 1119-1125; DOI: https://doi.org/10.1090/S0025-5718-08-02120-0; Published electronically: September 8, 2008; PDF

A covering system with least modulus 25: Donald Jason Gibson;; Math. Comp. 78 (2009), 1127-1146; DOI: https://doi.org/10.1090/S0025-5718-08-02154-6; Published electronically: September 10, 2008; PDF

Asymptotic estimation of $\xi ^{(2n)}(1/2)$: On a conjecture of Farmer and Rhoades: Mark W. Coffey;; Math. Comp. 78 (2009), 1147-1154; DOI: https://doi.org/10.1090/S0025-5718-08-02167-4; Published electronically: June 20, 2008; PDF

Shimura curves of genus at most two: John Voight;; Math. Comp. 78 (2009), 1155-1172; DOI: https://doi.org/10.1090/S0025-5718-08-02163-7; Published electronically: August 14, 2008; PDF

Non-hyperelliptic modular Jacobians of dimension 3: Roger Oyono;; Math. Comp. 78 (2009), 1173-1191; DOI: https://doi.org/10.1090/S0025-5718-08-02174-1; Published electronically: September 3, 2008; PDF

A new prime $p$ for which the least primitive root $(\textrm {mod} p)$ and the least primitive root $(\textrm {mod} p^2)$ are not equal: A. Paszkiewicz;; Math. Comp. 78 (2009), 1193-1195; DOI: https://doi.org/10.1090/S0025-5718-08-02090-5; Published electronically: October 31, 2008; PDF

Ten new primitive binary trinomials: Richard P. Brent and Paul Zimmermann;; Math. Comp. 78 (2009), 1197-1199; DOI: https://doi.org/10.1090/S0025-5718-08-02170-4; Published electronically: August 1, 2008; PDF

Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations: L. Hajdu and T. Kovács;; Math. Comp. 78 (2009), 1201-1210; DOI: https://doi.org/10.1090/S0025-5718-08-02160-1; Published electronically: July 1, 2008; PDF

Proportionally modular diophantine inequalities and the Stern-Brocot tree: M. Bullejos and J. C. Rosales;; Math. Comp. 78 (2009), 1211-1226; DOI: https://doi.org/10.1090/S0025-5718-08-02173-X; Published electronically: August 12, 2008; PDF

New sums of three cubes: Andreas-Stephan Elsenhans and Jörg Jahnel;; Math. Comp. 78 (2009), 1227-1230; DOI: https://doi.org/10.1090/S0025-5718-08-02168-6; Published electronically: August 20, 2008; PDF

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

An introduction to iterative Toeplitz solvers, edited by Raymond Hon-Fu Chan and Xiao-Qing Jin.: Reviewer: Daniel B. Szyld; Review information PDF; Math. Comp. 78 (2009), 1231-1232

Optimization algorithms on matrix manifolds, by R. Mahony and R. Sepulchre P.-A. Absil.: Reviewer: Levent Tunçel; Review information PDF; Math. Comp. 78 (2009), 1233-1236