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 75, Number 254
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A posteriori error estimates for the Crank–Nicolson method for parabolic equations: Georgios Akrivis, Charalambos Makridakis and Ricardo H. Nochetto;; Math. Comp. 75 (2006), 511-531; DOI: https://doi.org/10.1090/S0025-5718-05-01800-4; Published electronically: November 30, 2005; PDF

Hybridized globally divergence-free LDG methods. Part I: The Stokes problem: Jesús Carrero, Bernardo Cockburn and Dominik Schötzau;; Math. Comp. 75 (2006), 533-563; DOI: https://doi.org/10.1090/S0025-5718-05-01804-1; Published electronically: December 16, 2005; PDF

A nonlinear approach to absorbing boundary conditions for the semilinear wave equation: Jérémie Szeftel;; Math. Comp. 75 (2006), 565-594; DOI: https://doi.org/10.1090/S0025-5718-06-01820-5; Published electronically: February 2, 2006; PDF

Hermite methods for hyperbolic initial-boundary value problems: John Goodrich, Thomas Hagstrom and Jens Lorenz;; Math. Comp. 75 (2006), 595-630; DOI: https://doi.org/10.1090/S0025-5718-05-01808-9; Published electronically: December 16, 2005; PDF

Runge-Kutta time discretizations of nonlinear dissipative evolution equations: Eskil Hansen;; Math. Comp. 75 (2006), 631-640; DOI: https://doi.org/10.1090/S0025-5718-05-01866-1; Published electronically: December 19, 2005; PDF

Specialized Runge-Kutta methods for index $2$ differential-algebraic equations: Laurent O. Jay;; Math. Comp. 75 (2006), 641-654; DOI: https://doi.org/10.1090/S0025-5718-05-01809-0; Published electronically: December 19, 2005; PDF

On monotonicity and boundedness properties of linear multistep methods: Willem Hundsdorfer and Steven J. Ruuth;; Math. Comp. 75 (2006), 655-672; DOI: https://doi.org/10.1090/S0025-5718-05-01794-1; Published electronically: November 17, 2005; PDF

Convolution quadrature time discretization of fractional diffusion-wave equations: Eduardo Cuesta, Christian Lubich and Cesar Palencia;; Math. Comp. 75 (2006), 673-696; DOI: https://doi.org/10.1090/S0025-5718-06-01788-1; Published electronically: January 23, 2006; PDF

Computation of differential operators in wavelet coordinates: Tsogtgerel Gantumur and Rob Stevenson;; Math. Comp. 75 (2006), 697-709; DOI: https://doi.org/10.1090/S0025-5718-05-01807-7; Published electronically: December 8, 2005; PDF

Smooth macro-elements on Powell-Sabin-12 splits: Larry L. Schumaker and Tatyana Sorokina;; Math. Comp. 75 (2006), 711-726; DOI: https://doi.org/10.1090/S0025-5718-05-01813-2; Published electronically: December 30, 2005; PDF

General order multivariate Padé approximants for pseudo-multivariate functions: Annie Cuyt, Jieqing Tan and Ping Zhou;; Math. Comp. 75 (2006), 727-741; DOI: https://doi.org/10.1090/S0025-5718-06-01789-3; Published electronically: February 1, 2006; PDF

Hermite and Hermite–Fejér interpolation for Stieltjes polynomials: H. S. Jung;; Math. Comp. 75 (2006), 743-766; DOI: https://doi.org/10.1090/S0025-5718-05-01795-3; Published electronically: November 3, 2005; PDF

Optimal filter and mollifier for piecewise smooth spectral data: Jared Tanner;; Math. Comp. 75 (2006), 767-790; DOI: https://doi.org/10.1090/S0025-5718-06-01822-9; Published electronically: January 23, 2006; PDF

Structured preconditioners for nonsingular matrices of block two-by-two structures: Zhong-Zhi Bai;; Math. Comp. 75 (2006), 791-815; DOI: https://doi.org/10.1090/S0025-5718-05-01801-6; Published electronically: November 30, 2005; HTML | PDF

Computation of the Newton step for the even and odd characteristic polynomials of a symmetric positive definite Toeplitz matrix: A. Melman;; Math. Comp. 75 (2006), 817-832; DOI: https://doi.org/10.1090/S0025-5718-05-01796-5; Published electronically: December 1, 2005; PDF

The efficient evaluation of the hypergeometric function of a matrix argument: Plamen Koev and Alan Edelman;; Math. Comp. 75 (2006), 833-846; DOI: https://doi.org/10.1090/S0025-5718-06-01824-2; Published electronically: January 19, 2006; PDF

A new superconvergent collocation method for eigenvalue problems: Rekha P. Kulkarni;; Math. Comp. 75 (2006), 847-857; DOI: https://doi.org/10.1090/S0025-5718-06-01871-0; Published electronically: January 3, 2006; PDF

Lower bounds and stochastic optimization algorithms for uniform designs with three or four levels: Kai-Tai Fang, Dietmar Maringer, Yu Tang and Peter Winker;; Math. Comp. 75 (2006), 859-878; DOI: https://doi.org/10.1090/S0025-5718-05-01806-5; Published electronically: December 27, 2005; PDF

New irrationality measures for $q$-logarithms: Tapani Matala-aho, Keijo Väänänen and Wadim Zudilin;; Math. Comp. 75 (2006), 879-889; DOI: https://doi.org/10.1090/S0025-5718-05-01812-0; Published electronically: December 20, 2005; PDF

Linear law for the logarithms of the Riemann periods at simple critical zeta zeros: Kevin A. Broughan and A. Ross Barnett;; Math. Comp. 75 (2006), 891-902; DOI: https://doi.org/10.1090/S0025-5718-05-01803-X; Published electronically: November 30, 2005; PDF

Fast algorithms for component-by-component construction of rank-$1$ lattice rules in shift-invariant reproducing kernel Hilbert spaces: Dirk Nuyens and Ronald Cools;; Math. Comp. 75 (2006), 903-920; DOI: https://doi.org/10.1090/S0025-5718-06-01785-6; Published electronically: January 4, 2006; PDF

Sharp precision in Hensel lifting for bivariate polynomial factorization: Grégoire Lecerf;; Math. Comp. 75 (2006), 921-933; DOI: https://doi.org/10.1090/S0025-5718-06-01810-2; Published electronically: January 3, 2006; PDF

The Diophantine Equation $x^ 4 + 2 y^ 4 = z^ 4 + 4 w^ 4$: Andreas-Stephan Elsenhans and Jörg Jahnel;; Math. Comp. 75 (2006), 935-940; DOI: https://doi.org/10.1090/S0025-5718-05-01805-3; Published electronically: December 19, 2005; PDF

Two efficient algorithms for the computation of ideal sums in quadratic orders: André Weilert;; Math. Comp. 75 (2006), 941-981; DOI: https://doi.org/10.1090/S0025-5718-05-01799-0; Published electronically: December 8, 2005; PDF

Complexity of inverting the Euler function: Scott Contini, Ernie Croot and Igor E. Shparlinski;; Math. Comp. 75 (2006), 983-996; DOI: https://doi.org/10.1090/S0025-5718-06-01826-6; Published electronically: January 23, 2006; PDF

CM-fields with relative class number one: Geon-No Lee and Soun-Hi Kwon;; Math. Comp. 75 (2006), 997-1013; DOI: https://doi.org/10.1090/S0025-5718-05-01811-9; Published electronically: November 29, 2005; PDF

Approximating the number of integers without large prime factors: Koji Suzuki;; Math. Comp. 75 (2006), 1015-1024; DOI: https://doi.org/10.1090/S0025-5718-05-01798-9; Published electronically: December 2, 2005; PDF

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

Collocation methods for Volterra integral and related functional equations, by Hermann Brunner.
Handbook of computational group theory, by Derek F. Holt, Bettina Eick and Eamonn A. O'Brien.
Inverse eigenvalue probems: Theory, algorithms, and applications, by Moody T. Chu and Gene Golub.: Reviewer: I. P. Gavrilyuk
Reviewer: Jean Michel
Reviewer: Raf Vanderbril; Review information PDF; Math. Comp. 75 (2006), 1025-1031