Contents of Volume 72, Number 242

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Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems

So-Hsiang Chou; Do Y. Kwak; Kwang Y. Kim
Math. Comp. 72 (2003), 525-539.
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A mixed multiscale finite element method for elliptic problems with oscillating coefficients

Zhiming Chen; Thomas Y. Hou
Math. Comp. 72 (2003), 541-576.
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Enhanced accuracy by post-processing for finite element methods for hyperbolic equations

Bernardo Cockburn; Mitchell Luskin; Chi-Wang Shu; Endre Süli
Math. Comp. 72 (2003), 577-606.
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Finite element approximation of $H$-surfaces

Yuki Matsuzawa; Takashi Suzuki; Takuya Tsuchiya
Math. Comp. 72 (2003), 607-617.
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Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids

T. P. Mathew; G. Russo
Math. Comp. 72 (2003), 619-656.
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Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model

Ping Lin
Math. Comp. 72 (2003), 657-675.
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Optimal a priori error bounds for the Rayleigh-Ritz method

Gerard L. G. Sleijpen; Jasper van den Eshof; Paul Smit
Math. Comp. 72 (2003), 677-684.
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One-to-one piecewise linear mappings over triangulations

Michael S. Floater
Math. Comp. 72 (2003), 685-696.
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About the sharpness of the stability estimates in the Kreiss matrix theorem

M. N. Spijker; S. Tracogna; B. D. Welfert
Math. Comp. 72 (2003), 697-713.
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On perturbations of matrix pencils with real spectra, {a revisit}

Ren-Cang Li
Math. Comp. 72 (2003), 715-728.
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Nyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels

Sheon-Young Kang; Israel Koltracht; George Rawitscher
Math. Comp. 72 (2003), 729-756.
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Existence verification for singular and nonsmooth zeros of real nonlinear systems

Jianwei Dian; R. Baker Kearfott
Math. Comp. 72 (2003), 757-766.
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Near optimality of the sinc approximation

Masaaki Sugihara
Math. Comp. 72 (2003), 767-786.
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Newman polynomials with prescribed vanishing and integer sets with distinct subset sums

Peter Borwein; Michael J. Mossinghoff
Math. Comp. 72 (2003), 787-800.
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Factoring multivariate polynomials via partial differential equations

Shuhong Gao
Math. Comp. 72 (2003), 801-822.
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Strong tractability of multivariate integration using quasi--Monte Carlo algorithms

Xiaoqun Wang
Math. Comp. 72 (2003), 823-838.
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A mass formula for unimodular lattices with no roots

Oliver D. King
Math. Comp. 72 (2003), 839-863.
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Relative invariants of some 2-simple prehomogeneous vector spaces

Takeyoshi Kogiso; Go Miyabe; Miyuki Kobayashi; Tatsuo Kimura
Math. Comp. 72 (2003), 865-889.
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Nontrivial Galois module structure of cyclotomic fields

Marc Conrad; Daniel R. Replogle
Math. Comp. 72 (2003), 891-899.
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On the linear independence measure of logarithms of rational numbers

Qiang Wu
Math. Comp. 72 (2003), 901-911.
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Class numbers of real cyclotomic fields of prime conductor

René Schoof
Math. Comp. 72 (2003), 913-937.
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The first known type $(7,1)$ amicable pair

Mariano Garcia
Math. Comp. 72 (2003), 939-940.
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Constructing complete tables of quartic fields using Kummer theory

Henri Cohen; Francisco Diaz y Diaz; Michel Olivier
Math. Comp. 72 (2003), 941-951.
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Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the gaussian integer method

Antoine Joux; Reynald Lercier
Math. Comp. 72 (2003), 953-967.
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A computation of minimal polynomials of special values of Siegel modular functions

Tsuyoshi Itoh
Math. Comp. 72 (2003), 969-973.
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Pseudozeros of multivariate polynomials

J. William Hoffman; James J. Madden; Hong Zhang
Math. Comp. 72 (2003), 975-1002.
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The class number one problem for some non-abelian normal CM-fields of degree 48

Ku-Young Chang; Soun-Hi Kwon
Math. Comp. 72 (2003), 1003-1017.
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Linear quintuple-product identities

Richard Blecksmith; John Brillhart
Math. Comp. 72 (2003), 1019-1033.
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Lower bounds for the total stopping time of $3x + 1$ iterates

David Applegate; Jeffrey C. Lagarias
Math. Comp. 72 (2003), 1035-1049.
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The smallest solutions to the diophantine equation $x^6+y^6=a^6+b^6+c^6+d^6+e^6$

Giovanni Resta; Jean-Charles Meyrignac
Math. Comp. 72 (2003), 1051-1054.
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Book Reviews
Math. Comp. 72 (2003), 1055-1056

Book reviews do not contain an abstract. You may download the entire set of reviews from this issue using the links below.

Asymptotic approximations of integrals

Reviewer(s) Nico M Temme
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Collected lectures on the preservation of stability under discretization

Reviewer(s) John Strikwerda
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