Contents of Volume 68, Number 227

All articles in this issue are freely accessible.

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An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations

Bosco García-Archilla, Julia Novo and Edriss S. Titi.
Math. Comp. 68 (1999), 893-911
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MathSciNet review: 1627785

Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients

Thomas Y. Hou, Xiao-Hui Wu and Zhiqiang Cai.
Math. Comp. 68 (1999), 913-943
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MathSciNet review: 1642758

On the coupling of BEM and FEM for exterior problems for the Helmholtz equation

Ruixia Li.
Math. Comp. 68 (1999), 945-953
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MathSciNet review: 1627809

Convergence of relaxation schemes for hyperbolic conservation laws with stiff source terms

A. Chalabi.
Math. Comp. 68 (1999), 955-970
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MathSciNet review: 1648367

A priori $L^\rho$ error estimates for Galerkin approximations to porous medium and fast diffusion equations

Dongming Wei and Lew Lefton.
Math. Comp. 68 (1999), 971-989
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MathSciNet review: 1609654

A general mixed covolume framework for constructing conservative schemes for elliptic problems

So-Hsiang Chou and Panayot S. Vassilevski.
Math. Comp. 68 (1999), 991-1011
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MathSciNet review: 1648371

Finite element approximation to a contact problem in linear thermoelasticity

M. I. M. Copetti.
Math. Comp. 68 (1999), 1013-1024
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MathSciNet review: 1627854

Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions

Philippe G. LeFloch and Jian-Guo Liu.
Math. Comp. 68 (1999), 1025-1055
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MathSciNet review: 1627801

Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem

Amin Boumenir.
Math. Comp. 68 (1999), 1057-1066
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MathSciNet review: 1627850

Error estimation of Hermite spectral method for nonlinear partial differential equations

Ben-yu Guo.
Math. Comp. 68 (1999), 1067-1078
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MathSciNet review: 1627789

The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations

Hermann Brunner, Arvet Pedas and Gennadi Vainikko.
Math. Comp. 68 (1999), 1079-1095
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MathSciNet review: 1642797

Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies

Klaus Böhmer, Willy Govaerts and Vladimír Janovský.
Math. Comp. 68 (1999), 1097-1108
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MathSciNet review: 1627846

Exponential convergence of a linear rational interpolant between transformed Chebyshev points

Richard Baltensperger, Jean-Paul Berrut and Benjamin Noël.
Math. Comp. 68 (1999), 1109-1120
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MathSciNet review: 1642809

For numerical differentiation, dimensionality can be a blessing!

Robert S. Anderssen and Markus Hegland.
Math. Comp. 68 (1999), 1121-1141
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MathSciNet review: 1620207

Sharp ULP rounding error bound for the hypotenuse function

Abraham Ziv.
Math. Comp. 68 (1999), 1143-1148
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MathSciNet review: 1648423

Double roots of $[-1,1]$ power series and related matters

Christopher Pinner.
Math. Comp. 68 (1999), 1149-1178
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MathSciNet review: 1620243

Computing automorphisms of abelian number fields

Vincenzo Acciaro and Jürgen Klüners.
Math. Comp. 68 (1999), 1179-1186
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MathSciNet review: 1648426

Computing the rank of elliptic curves over real quadratic number fields of class number 1

J. E. Cremona and P. Serf.
Math. Comp. 68 (1999), 1187-1200
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MathSciNet review: 1627777

Calculation of values of $L$-functions associated to elliptic curves

Shigeki Akiyama and Yoshio Tanigawa.
Math. Comp. 68 (1999), 1201-1231
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MathSciNet review: 1627842

Real and imaginary quadratic representations of hyperelliptic function fields

Sachar Paulus and Hans-Georg Rück.
Math. Comp. 68 (1999), 1233-1241
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MathSciNet review: 1627817

Zeros of 2-adic $L$-functions and congruences for class numbers and fundamental units

Daniel C. Shanks, Patrick J. Sime and Lawrence C. Washington.
Math. Comp. 68 (1999), 1243-1255
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MathSciNet review: 1622093

Elliptic binomial diophantine equations

Roelof J. Stroeker and Benjamin M. M. de Weger.
Math. Comp. 68 (1999), 1257-1281
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MathSciNet review: 1622097

Nonexistence conditions of a solution for the congruence $x_1^k +\cdots + x_s^k \equiv N (\mod p^n)$

Hiroshi Sekigawa and Kenji Koyama.
Math. Comp. 68 (1999), 1283-1297
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MathSciNet review: 1627821

Square product of three integers in short intervals

L. Hajdu and Á. Pintér.
Math. Comp. 68 (1999), 1299-1301
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MathSciNet review: 1648391

On sums of seven cubes

F. Bertault, O. Ramaré and P. Zimmermann.
Math. Comp. 68 (1999), 1303-1310
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MathSciNet review: 1642805

New maximal prime gaps and first occurrences

Thomas R. Nicely.
Math. Comp. 68 (1999), 1311-1315
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MathSciNet review: 1627813

Largest known twin primes and Sophie Germain primes

Karl-Heinz Indlekofer and Antal Járai.
Math. Comp. 68 (1999), 1317-1324
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MathSciNet review: 1642750