Contents of Volume 68, Number 227

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

Bosco García-Archilla; Julia Novo; Edriss S. Titi
Math. Comp. 68 (1999), 893-911.
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Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients

Thomas Y. Hou; Xiao-Hui Wu; Zhiqiang Cai
Math. Comp. 68 (1999), 913-943.
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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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Convergence of relaxation schemes for hyperbolic conservation laws with stiff source terms

A. Chalabi
Math. Comp. 68 (1999), 955-970.
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A priori $L^\rho$ error estimates for Galerkin approximations to porous medium and fast diffusion equations

Dongming Wei; Lew Lefton
Math. Comp. 68 (1999), 971-989.
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A general mixed covolume framework for constructing conservative schemes for elliptic problems

So-Hsiang Chou; Panayot S. Vassilevski
Math. Comp. 68 (1999), 991-1011.
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Finite element approximation to a contact problem in linear thermoelasticity

M. I. M. Copetti
Math. Comp. 68 (1999), 1013-1024.
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Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions

Philippe G. LeFloch; Jian-Guo Liu
Math. Comp. 68 (1999), 1025-1055.
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Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem

Amin Boumenir
Math. Comp. 68 (1999), 1057-1066.
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Error estimation of Hermite spectral method for nonlinear partial differential equations

Ben-yu Guo
Math. Comp. 68 (1999), 1067-1078.
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The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations

Hermann Brunner; Arvet Pedas; Gennadi Vainikko
Math. Comp. 68 (1999), 1079-1095.
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Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies

Klaus Böhmer; Willy Govaerts; Vladimí r Janovský
Math. Comp. 68 (1999), 1097-1108.
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Exponential convergence of a linear rational interpolant between transformed Chebyshev points

Richard Baltensperger; Jean-Paul Berrut; Benjamin Noël
Math. Comp. 68 (1999), 1109-1120.
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For numerical differentiation, dimensionality can be a blessing!

Robert S. Anderssen; Markus Hegland
Math. Comp. 68 (1999), 1121-1141.
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Sharp ULP rounding error bound for the hypotenuse function

Abraham Ziv
Math. Comp. 68 (1999), 1143-1148.
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Double roots of $[-1,1]$ power series and related matters

Christopher Pinner
Math. Comp. 68 (1999), 1149-1178.
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Computing automorphisms of abelian number fields

Vincenzo Acciaro; Jürgen Klüners
Math. Comp. 68 (1999), 1179-1186.
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Computing the rank of elliptic curves over real quadratic number fields of class number 1

J. E. Cremona; P. Serf
Math. Comp. 68 (1999), 1187-1200.
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Calculation of values of $L$-functions associated to elliptic curves

Shigeki Akiyama; Yoshio Tanigawa
Math. Comp. 68 (1999), 1201-1231.
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Real and imaginary quadratic representations of hyperelliptic function fields

Sachar Paulus; Hans-Georg Rück
Math. Comp. 68 (1999), 1233-1241.
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Zeros of 2-adic $L$-functions and congruences for class numbers and fundamental units

Daniel C. Shanks; Patrick J. Sime; Lawrence C. Washington
Math. Comp. 68 (1999), 1243-1255.
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Elliptic binomial diophantine equations

Roelof J. Stroeker; Benjamin M. M. de Weger
Math. Comp. 68 (1999), 1257-1281.
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Nonexistence conditions of a solution for the congruence $x_1^k +\cdots + x_s^k \equiv N (\mod p^n)$

Hiroshi Sekigawa; Kenji Koyama
Math. Comp. 68 (1999), 1283-1297.
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Square product of three integers in short intervals

L. Hajdu; Á. Pintér
Math. Comp. 68 (1999), 1299-1301.
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On sums of seven cubes

F. Bertault; O. Ramaré; P. Zimmermann
Math. Comp. 68 (1999), 1303-1310.
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New maximal prime gaps and first occurrences

Thomas R. Nicely
Math. Comp. 68 (1999), 1311-1315.
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Largest known twin primes and Sophie Germain primes

Karl-Heinz Indlekofer; Antal Járai
Math. Comp. 68 (1999), 1317-1324.
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