The book has grown out of a concerted research effort over the last decade. We have
enjoyed collaboration with many good friends and colleagues on these problems, in …

Hyperbolic systems with stiff relaxation constitute a wide class of evolutionary partial
differential equations which describe several physical phenomena, ranging from gas …

In this work a new class of numerical methods for the BGK model of kinetic equations is
presented. In principle, schemes of any order of accuracy in both space and time can be …

We show how existing models for the sedimentation of monodisperse flocculated
suspensions and of polydisperse suspensions of rigid spheres differing in size can be …

We propose a second order finite volume scheme for nonlinear degenerate parabolic
equations which admit an entropy functional. For some of these models (porous media …

An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations Page 1
CR Acad. Sci. Paris, Ser. I 334 (2002) 337–342 Problèmes mathématiques de la mécanique/Mathematical …

This paper presents a class of semi-implicit finite difference weighted essentially non-
oscillatory (WENO) schemes for solving the nonlinear heat equation. For the discretization of …

The chief purpose of this paper is to formulate and partly analyze a new mathematical model
for continuous sedimentation-consolidation processes of flocculated suspensions in clarifier …

High order accurate weighted essentially nonoscillatory (WENO) schemes are usually
designed to solve hyperbolic conservation laws or to discretize the first derivative convection …

We establish forward and backward relations between entropy satisfying BGK relaxation
models such as those introduced previously by the author and the first order flux vector …