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 77, Number 261
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Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem: James H. Bramble and Joseph E. Pasciak;; Math. Comp. 77 (2008), 1-10; DOI: https://doi.org/10.1090/S0025-5718-07-02037-6; Published electronically: September 18, 2007; PDF

On the existence of maximum principles in parabolic finite element equations: Vidar Thomée and Lars B. Wahlbin;; Math. Comp. 77 (2008), 11-19; DOI: https://doi.org/10.1090/S0025-5718-07-02021-2; Published electronically: May 14, 2007; PDF

Uniform error estimates in the finite element method for a singularly perturbed reaction-diffusion problem: Dmitriy Leykekhman;; Math. Comp. 77 (2008), 21-39; DOI: https://doi.org/10.1090/S0025-5718-07-02015-7; Published electronically: May 14, 2007; PDF

Robust a-posteriori estimator for advection-diffusion-reaction problems: Giancarlo Sangalli;; Math. Comp. 77 (2008), 41-70; DOI: https://doi.org/10.1090/S0025-5718-07-02018-2; Published electronically: May 14, 2007; PDF

Adaptive wavelet algorithms for elliptic PDE’s on product domains: Christoph Schwab and Rob Stevenson;; Math. Comp. 77 (2008), 71-92; DOI: https://doi.org/10.1090/S0025-5718-07-02019-4; Published electronically: May 14, 2007; PDF

Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov–Poisson system: Nicolas Besse and Michel Mehrenberger;; Math. Comp. 77 (2008), 93-123; DOI: https://doi.org/10.1090/S0025-5718-07-01912-6; Published electronically: June 18, 2007; PDF

An interpolated stochastic algorithm for quasi-linear PDEs: François Delarue and Stéphane Menozzi;; Math. Comp. 77 (2008), 125-158; DOI: https://doi.org/10.1090/S0025-5718-07-02008-X; Published electronically: July 26, 2007; PDF

Evaluating the Evans function: Order reduction in numerical methods: Simon Malham and Jitse Niesen;; Math. Comp. 77 (2008), 159-179; DOI: https://doi.org/10.1090/S0025-5718-07-02016-9; Published electronically: July 26, 2007; PDF

Integration processes of ordinary differential equations based on Laguerre-Radau interpolations: Ben-Yu Guo, Zhong-Qing Wang, Hong-Jiong Tian and Li-Lian Wang;; Math. Comp. 77 (2008), 181-199; DOI: https://doi.org/10.1090/S0025-5718-07-02035-2; Published electronically: September 13, 2007; PDF

Inverse-type estimates on $hp$-finite element spaces and applications: Emmanuil H. Georgoulis;; Math. Comp. 77 (2008), 201-219; DOI: https://doi.org/10.1090/S0025-5718-07-02068-6; Published electronically: September 18, 2007; PDF

A counterexample concerning the $L_2$-projector onto linear spline spaces: Peter Oswald;; Math. Comp. 77 (2008), 221-226; DOI: https://doi.org/10.1090/S0025-5718-07-02059-5; Published electronically: September 13, 2007; PDF

The completion of locally refined simplicial partitions created by bisection: Rob Stevenson;; Math. Comp. 77 (2008), 227-241; DOI: https://doi.org/10.1090/S0025-5718-07-01959-X; Published electronically: July 26, 2007; HTML | PDF

Modified Taylor reproducing formulas and h-p clouds: Carlos Zuppa;; Math. Comp. 77 (2008), 243-264; DOI: https://doi.org/10.1090/S0025-5718-07-02041-8; Published electronically: July 26, 2007; PDF

An interpolation error estimate in $\mathcal {R}^2$ based on the anisotropic measures of higher order derivatives: Weiming Cao;; Math. Comp. 77 (2008), 265-286; DOI: https://doi.org/10.1090/S0025-5718-07-01981-3; Published electronically: April 17, 2007; PDF

$C^1$ spline wavelets on triangulations: Rong-Qing Jia and Song-Tao Liu;; Math. Comp. 77 (2008), 287-312; DOI: https://doi.org/10.1090/S0025-5718-07-02013-3; Published electronically: September 12, 2007; PDF

On pseudospectra of matrix polynomials and their boundaries: Lyonell Boulton, Peter Lancaster and Panayiotis Psarrakos;; Math. Comp. 77 (2008), 313-334; DOI: https://doi.org/10.1090/S0025-5718-07-02005-4; Published electronically: May 11, 2007; PDF

On Meinardus’ examples for the conjugate gradient method: Ren-Cang Li;; Math. Comp. 77 (2008), 335-352; DOI: https://doi.org/10.1090/S0025-5718-07-01922-9; Published electronically: September 17, 2007; PDF

The unitary completion and QR iterations for a class of structured matrices: D. A. Bini, Y. Eidelman, L. Gemignani and I. Gohberg;; Math. Comp. 77 (2008), 353-378; DOI: https://doi.org/10.1090/S0025-5718-07-02004-2; Published electronically: June 22, 2007; PDF

A regularized projection method for complementarity problems with non-Lipschitzian functions: Goetz Alefeld and Xiaojun Chen;; Math. Comp. 77 (2008), 379-395; DOI: https://doi.org/10.1090/S0025-5718-07-02025-X; Published electronically: June 20, 2007; PDF

Fast evaluation of quadrature formulae on the sphere: Jens Keiner and Daniel Potts;; Math. Comp. 77 (2008), 397-419; DOI: https://doi.org/10.1090/S0025-5718-07-02029-7; Published electronically: June 20, 2007; PDF

Statistical properties of generalized discrepancies: Christine Choirat and Raffaello Seri;; Math. Comp. 77 (2008), 421-446; DOI: https://doi.org/10.1090/S0025-5718-07-01839-X; Published electronically: September 12, 2007; PDF

Correlated algebraic-geometric codes: Improved list decoding over bounded alphabets: Venkatesan Guruswami and Anindya C. Patthak;; Math. Comp. 77 (2008), 447-473; DOI: https://doi.org/10.1090/S0025-5718-07-02012-1; Published electronically: September 13, 2007; PDF

Explicit values of multi-dimensional Kloosterman sums for prime powers, II: S. Gurak;; Math. Comp. 77 (2008), 475-493; DOI: https://doi.org/10.1090/S0025-5718-07-02011-X; Published electronically: May 14, 2007; PDF

The Lucas-Pratt primality tree: Jonathan Bayless;; Math. Comp. 77 (2008), 495-502; DOI: https://doi.org/10.1090/S0025-5718-07-02002-9; Published electronically: May 14, 2007; PDF

Construction of hyperelliptic function fields of high three-rank: M. Bauer, M. J. Jacobson Jr., Y. Lee and R. Scheidler;; Math. Comp. 77 (2008), 503-530; DOI: https://doi.org/10.1090/S0025-5718-07-02001-7; Published electronically: July 26, 2007; PDF

Divisors in residue classes, constructively: Don Coppersmith, Nick Howgrave-Graham and S. V. Nagaraj;; Math. Comp. 77 (2008), 531-545; DOI: https://doi.org/10.1090/S0025-5718-07-02007-8; Published electronically: May 14, 2007; PDF

The evaluation of $\kappa _3$: J. M. Chick and G. H. Davies;; Math. Comp. 77 (2008), 547-550; DOI: https://doi.org/10.1090/S0025-5718-07-02006-6; Published electronically: May 14, 2007; PDF

Square form factorization: Jason E. Gower and Samuel S. Wagstaff Jr.;; Math. Comp. 77 (2008), 551-588; DOI: https://doi.org/10.1090/S0025-5718-07-02010-8; Published electronically: May 14, 2007; PDF

On Schönhage’s algorithm and subquadratic integer gcd computation: Niels Möller;; Math. Comp. 77 (2008), 589-607; DOI: https://doi.org/10.1090/S0025-5718-07-02017-0; Published electronically: September 12, 2007; PDF

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

Control perspectives on numerical algorithms and matrix problems, by Amit Bhaya and Eugenius Kaszkurewicz.: Reviewer: Paul Tseng; Review information PDF; Math. Comp. 77 (2008), 609-610