Sommaire du Fascicule no. 1

On the simulation of incompressible, miscible displacement in a naturally fractured petroleum reservoir
p. 5-51
Some remarks on the optimal design of periodically reinforced structures
p. 53-61
Efficient FORTRAN implementation of the gaussian elimination and Householder reduction algorithms on the IBM 3090 vector multiprocessor
p. 63-86
Asymptotics of the scattering frequencies for a thermoelasticity problem with small thermal conductivity
p. 87-101
Sharp maximum norm error estimates for general mixed finite element approximations to second order elliptic equations
p. 103-128
On the approximation of the spectrum of the Stokes operator
p. 129-136
Sur les états d'équilibre pour les densités électroniques dans les plasmas
p. 137-153
Un problème inverse en formage des métaux liquides
p. 155-177
Everted equilibria of a spherical cap : a singular perturbation method
p. 179-187

Sommaire du Fascicule no. 2

Stability of schemes for the numerical treatment of an equation modelling fluidized beds
p. 191-204
Homogenization of the Stokes system in a thin film flow with rapidly varying thickness
p. 205-234
Calcul des courants induits et des forces électromagnétiques dans un système de conducteurs mobiles
p. 235-259
On a class of implicit and explicit schemes of Van-Leer type for scalar conservation laws
p. 261-282
On a free boundary problem associated with combustion and solidification
p. 283-291
A finite element approximation of three dimensional motion of a Bingham fluid
p. 293-333
Numerical approximation of the Preisach model for hysteresis
p. 335-356

Sommaire du Fascicule no. 3

Attractors, Inertial Manifolds and their Approximation. Proceedings of the Marseille-Luminy... 1987

Introduction
p. 357
Attractor for a Navier-Stokes flow in an unbounded domain
p. 359-370
Turbulence en convection de Rayleigh-Bénard : du chaos temporel aux effets spatiaux
p. 371-377
Asymptotic behaviour of strongly damped nonlinear hyperbolic equations
p. 379-384
Une forme de turbulence associée aux défauts topologiques
p. 385-394
Time-discretization and inertial manifolds
p. 395-404
Local Lyapunov exponents and a local estimate of Hausdorff dimension
p. 405-413
Discrete Ljapunov functionals and ω-limit sets
p. 415-431
Explicit upper and lower bounds on the number of degrees of freedom for damped and driven cubic Schrödinger equations
p. 433-443
Approximation theories for inertial manifolds
p. 445-461
Approximate inertial manifolds for the pattern formation Cahn-Hilliard equation
p. 463-488
Inertial manifolds of damped semilinear wave equations
p. 489-505
Nonequilibrium reaction-diffusion structures in rigid and visco-elastic media : knots and unstable noninertial flows
p. 507-517
Continuity of attractors
p. 519-533
Remarks on the uniqueness of radial solutions
p. 535-540
Induced trajectories and approximate inertial manifolds
p. 541-561

Sommaire du Fascicule no. 4

The local projection P 0 -P 1 -discontinuous-Galerkin finite element method for scalar conservation laws
p. 565-592
Une note sur les méthodes de caractéristiques et de Lesaint-Raviart pour les problèmes hyperboliques stationnaires
p. 593-596
The convergence of a Galerkin approximation scheme for an extensible beam
p. 597-613
On the optimal design of elastic shafts
p. 615-625
A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation
p. 627-647
Compatibilité des espaces discrets pour l'approximation spectrale du problème de Stokes périodique/non périodique
p. 649-688