This work focuses on the design of a 2 D numerical scheme for the M 1 model on polygonal
and conical meshes. This model is nonlinear and approximates the firsts moments of the …

We present a finite volume scheme for the anisotropic diffusion equation. The scheme is
based on a reformulation of the diffusion equation as an advection equation. We prove that it …

1.1 The (quadratic) Boltzmann equation and two of its limits.......... 4 1.1. 1 One
Hydrodynamic limit of Boltzmann equation................. 6 1.1. 2 The Linear Boltzmann equation …

A new finite volume scheme for the Euler equations with gravity and friction source terms is
presented. Classical finite volume schemes are not able to capture correctly the dynamics …

634 C. Buet et al./CR Acad. Sci. Paris, Ser. I 350 (2012) 633–638 nous présentons est
basée sur une reformulation du modèle M1 sous la forme d'un système proche des …

In this paper we propose an asymptotic preserving scheme for a family of Friedrichs systems
on unstructured meshes based on a decomposition between the hyperbolic heat equation …

We prove the uniform AP convergence on unstructured meshes in 2D of a generalization of
the Gosse-Toscani 1D scheme for the hyperbolic heat equation. This scheme is also a nodal …

This work proposes a method to solve the diffusion equation with a matrix-valued unknown.
A maximum principle can be proved for this equation and the solution is expected to be …

L'équation de transport, dans le régime fortement collisionnel admet une limite asymptotique
de diffusion. Les discrétisations angulaires comme la méthode des ordonnées discrètes Sn …

This work focuses on the design of a 2D numerical scheme for the M1 model on conical
meshes. This model is nonlinear and approximates the firsts moments of the radiative …