## 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 and Edriss S. Titi PDF
- Math. Comp.
**68**(1999), 893-911

- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- Thomas Y. Hou, Xiao-Hui Wu and Zhiqiang Cai PDF
- Math. Comp.
**68**(1999), 913-943

- On the coupling of BEM and FEM for exterior problems for the Helmholtz equation
- Ruixia Li PDF
- Math. Comp.
**68**(1999), 945-953

- Convergence of relaxation schemes for hyperbolic conservation laws with stiff source terms
- A. Chalabi PDF
- Math. Comp.
**68**(1999), 955-970

- A priori $L^\rho$ error estimates for Galerkin approximations to porous medium and fast diffusion equations
- Dongming Wei and Lew Lefton PDF
- Math. Comp.
**68**(1999), 971-989

- A general mixed covolume framework for constructing conservative schemes for elliptic problems
- So-Hsiang Chou and Panayot S. Vassilevski PDF
- Math. Comp.
**68**(1999), 991-1011

- Finite element approximation to a contact problem in linear thermoelasticity
- M. I. M. Copetti PDF
- Math. Comp.
**68**(1999), 1013-1024

- Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions
- Philippe G. LeFloch and Jian-Guo Liu PDF
- Math. Comp.
**68**(1999), 1025-1055

- Eigenvalues of periodic Sturm-Liouville problems by the Shannon-Whittaker sampling theorem
- Amin Boumenir PDF
- Math. Comp.
**68**(1999), 1057-1066

- Error estimation of Hermite spectral method for nonlinear partial differential equations
- Ben-yu Guo PDF
- Math. Comp.
**68**(1999), 1067-1078

- The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
- Hermann Brunner, Arvet Pedas and Gennadi Vainikko PDF
- Math. Comp.
**68**(1999), 1079-1095

- Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies
- Klaus Böhmer, Willy Govaerts and Vladimír Janovský PDF
- Math. Comp.
**68**(1999), 1097-1108

- Exponential convergence of a linear rational interpolant between transformed Chebyshev points
- Richard Baltensperger, Jean-Paul Berrut and Benjamin Noël PDF
- Math. Comp.
**68**(1999), 1109-1120

- For numerical differentiation, dimensionality can be a blessing!
- Robert S. Anderssen and Markus Hegland PDF
- Math. Comp.
**68**(1999), 1121-1141

- Sharp ULP rounding error bound for the hypotenuse function
- Abraham Ziv PDF
- Math. Comp.
**68**(1999), 1143-1148

- Double roots of $[-1,1]$ power series and related matters
- Christopher Pinner PDF
- Math. Comp.
**68**(1999), 1149-1178

- Computing automorphisms of abelian number fields
- Vincenzo Acciaro and Jürgen Klüners PDF
- Math. Comp.
**68**(1999), 1179-1186

- Computing the rank of elliptic curves over real quadratic number fields of class number 1
- J. E. Cremona and P. Serf PDF
- Math. Comp.
**68**(1999), 1187-1200

- Calculation of values of $L$-functions associated to elliptic curves
- Shigeki Akiyama and Yoshio Tanigawa PDF
- Math. Comp.
**68**(1999), 1201-1231

- Real and imaginary quadratic representations of hyperelliptic function fields
- Sachar Paulus and Hans-Georg Rück PDF
- Math. Comp.
**68**(1999), 1233-1241

- Zeros of 2-adic $L$-functions and congruences for class numbers and fundamental units
- Daniel C. Shanks, Patrick J. Sime and Lawrence C. Washington PDF
- Math. Comp.
**68**(1999), 1243-1255

- Elliptic binomial diophantine equations
- Roelof J. Stroeker and Benjamin M. M. de Weger PDF
- Math. Comp.
**68**(1999), 1257-1281

- 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 PDF
- Math. Comp.
**68**(1999), 1283-1297

- Square product of three integers in short intervals
- L. Hajdu and Á. Pintér PDF
- Math. Comp.
**68**(1999), 1299-1301

- On sums of seven cubes
- F. Bertault, O. Ramaré and P. Zimmermann PDF
- Math. Comp.
**68**(1999), 1303-1310

- New maximal prime gaps and first occurrences
- Thomas R. Nicely PDF
- Math. Comp.
**68**(1999), 1311-1315

- Largest known twin primes and Sophie Germain primes
- Karl-Heinz Indlekofer and Antal Járai PDF
- Math. Comp.
**68**(1999), 1317-1324