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 73, Number 248
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Criteria for the approximation property for multigrid methods in nonnested spaces: Nicolas Neuss and Christian Wieners;; Math. Comp. 73 (2004), 1583-1600; DOI: https://doi.org/10.1090/S0025-5718-04-01628-X; Published electronically: March 9, 2004; PDF

Algebraic algorithms for the analysis of mechanical trusses: I. Babuška and S. A. Sauter;; Math. Comp. 73 (2004), 1601-1622; DOI: https://doi.org/10.1090/S0025-5718-04-01645-X; Published electronically: April 27, 2004; PDF

Localized pointwise error estimates for mixed finite element methods: Alan Demlow;; Math. Comp. 73 (2004), 1623-1653; DOI: https://doi.org/10.1090/S0025-5718-04-01650-3; Published electronically: March 23, 2004; PDF

A locking-free Reissner-Mindlin quadrilateral element: Huo-Yuan Duan and Guo-Ping Liang;; Math. Comp. 73 (2004), 1655-1671; DOI: https://doi.org/10.1090/S0025-5718-03-01619-3; Published electronically: November 24, 2003; PDF

Vorticity-velocity-pressure formulation for Stokes problem: M. Amara, E. Chacón Vera and D. Trujillo;; Math. Comp. 73 (2004), 1673-1697; DOI: https://doi.org/10.1090/S0025-5718-03-01615-6; Published electronically: October 27, 2003; PDF

Grad-div stablilization for Stokes equations: Maxim A. Olshanskii and Arnold Reusken;; Math. Comp. 73 (2004), 1699-1718; DOI: https://doi.org/10.1090/S0025-5718-03-01629-6; Published electronically: December 19, 2003; PDF

On the error estimates for the rotational pressure-correction projection methods: J. L. Guermond and Jie Shen;; Math. Comp. 73 (2004), 1719-1737; DOI: https://doi.org/10.1090/S0025-5718-03-01621-1; Published electronically: December 19, 2003; PDF

A new approximation technique for div-curl systems: James H. Bramble and Joseph E. Pasciak;; Math. Comp. 73 (2004), 1739-1762; DOI: https://doi.org/10.1090/S0025-5718-03-01616-8; Published electronically: August 26, 2003; PDF

$L^2$-estimate for the discrete Plateau Problem: Paola Pozzi;; Math. Comp. 73 (2004), 1763-1777; DOI: https://doi.org/10.1090/S0025-5718-03-01630-2; Published electronically: December 22, 2003; PDF

Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions: Xavier Antoine, Christophe Besse and Vincent Mouysset;; Math. Comp. 73 (2004), 1779-1799; DOI: https://doi.org/10.1090/S0025-5718-04-01631-X; Published electronically: January 23, 2004; PDF

Spectral-fractional step Runge–Kutta discretizations for initial boundary value problems with time dependent boundary conditions: I. Alonso-Mallo, B. Cano and J. C. Jorge;; Math. Comp. 73 (2004), 1801-1825; DOI: https://doi.org/10.1090/S0025-5718-04-01660-6; Published electronically: April 20, 2004; PDF

Spectral division methods for block generalized Schur decompositions: Xiaobai Sun and Enrique S. Quintana-Ortí;; Math. Comp. 73 (2004), 1827-1847; DOI: https://doi.org/10.1090/S0025-5718-04-01667-9; Published electronically: May 11, 2004; PDF

The symmetric eigenvalue complementarity problem: Marcelo Queiroz, Joaquim Júdice and Carlos Humes Jr.;; Math. Comp. 73 (2004), 1849-1863; DOI: https://doi.org/10.1090/S0025-5718-03-01614-4; Published electronically: August 20, 2003; PDF

Local results for the Gauss-Newton method on constrained rank-deficient nonlinear least squares: Jerry Eriksson and Mårten E. Gulliksson;; Math. Comp. 73 (2004), 1865-1883; DOI: https://doi.org/10.1090/S0025-5718-03-01611-9; Published electronically: September 26, 2003; PDF

On tractability of weighted integration over bounded and unbounded regions in $\mathbb {R}^s$: Fred J. Hickernell, Ian H. Sloan and Grzegorz W. Wasilkowski;; Math. Comp. 73 (2004), 1885-1901; DOI: https://doi.org/10.1090/S0025-5718-04-01624-2; Published electronically: January 5, 2004; PDF

On strong tractability of weighted multivariate integration: Fred J. Hickernell, Ian H. Sloan and Grzegorz W. Wasilkowski;; Math. Comp. 73 (2004), 1903-1911; DOI: https://doi.org/10.1090/S0025-5718-04-01653-9; Published electronically: April 22, 2004; PDF

Multivariate refinable Hermite interpolant: Bin Han, Thomas P.-Y. Yu and Bruce Piper;; Math. Comp. 73 (2004), 1913-1935; DOI: https://doi.org/10.1090/S0025-5718-03-01623-5; Published electronically: December 22, 2003; PDF

Zeros of Gegenbauer and Hermite polynomials and connection coefficients: Iván Area, Dimitar K. Dimitrov, Eduardo Godoy and André Ronveaux;; Math. Comp. 73 (2004), 1937-1951; DOI: https://doi.org/10.1090/S0025-5718-04-01642-4; Published electronically: March 23, 2004; PDF

A quasi–Monte Carlo scheme for Smoluchowski’s coagulation equation: Christian Lécot and Wolfgang Wagner;; Math. Comp. 73 (2004), 1953-1966; DOI: https://doi.org/10.1090/S0025-5718-04-01627-8; Published electronically: January 5, 2004; PDF

Reducing the construction cost of the component-by-component construction of good lattice rules: J. Dick and F. Y. Kuo;; Math. Comp. 73 (2004), 1967-1988; DOI: https://doi.org/10.1090/S0025-5718-03-01610-7; Published electronically: August 19, 2003; PDF

Rational double points on supersingular $K3$ surfaces: Ichiro Shimada;; Math. Comp. 73 (2004), 1989-2017; DOI: https://doi.org/10.1090/S0025-5718-04-01641-2; Published electronically: March 18, 2004; PDF

Canonical vector heights on K3 surfaces with Picard number three— An argument for nonexistence: Arthur Baragar;; Math. Comp. 73 (2004), 2019-2025; DOI: https://doi.org/10.1090/S0025-5718-04-01661-8; Published electronically: May 7, 2004; PDF

Obstacles to the torsion-subgroup attack on the decision Diffie-Hellman Problem: Neal Koblitz and Alfred J. Menezes;; Math. Comp. 73 (2004), 2027-2041; DOI: https://doi.org/10.1090/S0025-5718-04-01637-0; Published electronically: February 25, 2004; PDF

Deciding the nilpotency of the Galois group by computing elements in the centre: Pilar Fernandez-Ferreiros and M. Angeles Gomez-Molleda;; Math. Comp. 73 (2004), 2043-2060; DOI: https://doi.org/10.1090/S0025-5718-03-01620-X; Published electronically: November 3, 2003; PDF

On quadratic fields with large 3-rank: Karim Belabas;; Math. Comp. 73 (2004), 2061-2074; DOI: https://doi.org/10.1090/S0025-5718-04-01632-1; Published electronically: January 30, 2004; PDF

The Steiner triple systems of order 19: Petteri Kaski and Patric R. J. Östergård;; Math. Comp. 73 (2004), 2075-2092; DOI: https://doi.org/10.1090/S0025-5718-04-01626-6; Published electronically: January 5, 2004; PDF

Points on $y=x^2$ at rational distance: Garikai Campbell;; Math. Comp. 73 (2004), 2093-2108; DOI: https://doi.org/10.1090/S0025-5718-03-01606-5; Published electronically: July 29, 2003; PDF

Addendum to “Factoring polynomials over finite fields with Drinfeld modules”: G. J. van der Heiden;; Math. Comp. 73 (2004), 2109-2109; DOI: https://doi.org/10.1090/S0025-5718-04-01691-6; Published electronically: May 17, 2004; PDF

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

Finite element methods and B -splines, by Klaus Höllig.
Solving nonlinear equations with Newton s method, by C. T. Kelley.: Reviewer: Lars B. Wahlbin
Reviewer: A. Bultheel; Review information PDF; Math. Comp. 73 (2004), 2111-2114