Une famille de schémas numériques T.V.D. pour les lois de conservation hyperboliques
Uniform convergence of monotone iterative methods for semilinear singularly perturbed problems of elliptic and parabolic types.
Uniform stabilization of a viscous numerical approximation for a locally damped wave equation
This work is devoted to the analysis of a viscous finite-difference space semi-discretization of a locally damped wave equation in a regular 2-D domain. The damping term is supported in a suitable subset of the domain, so that the energy of solutions of the damped continuous wave equation decays exponentially to zero as time goes to infinity. Using discrete multiplier techniques, we prove that adding a suitable vanishing numerical viscosity term leads to a uniform (with respect to the mesh size)...
Uniqueness of critical points for semi-linear Dirichlet problems in convex domains.