We propose a numerical method for the Vlasov-Poisson-Fokker-Planck model written as an
hyperbolic system thanks to a spectral decomposition in the basis of Hermite functions with …

Spectral methods, thanks to their high accuracy and the possibility of using fast algorithms,
represent an effective way to approximate collisional kinetic equations in kinetic theory. On …

We propose an approach to obtaining explicit estimates on the resolvent of hypocoercive
operators by using Schur complements, rather than from an exponential decay of the …

In this article, we propose and study several discrete versions of homogeneous and
inhomogeneous one-dimensional Fokker–Planck equations. In particular, for these …

We propose and study a fully discrete finite volume scheme for the linear Vlasov-Fokker-
Planck equation written as an hyperbolic system using Hermite polynomials in velocity. This …

In this contribution we analyze the large time behavior of a family of nonlinear finite volume
schemes for anisotropic convection-diffusion equations set in a bounded bidimensional …

In this article we propose a finite-volume discretization of a one-dimensional nonlinear
reaction kinetic model proposed in, which describes a two-species recombination …

In this paper we analyse a finite volume scheme for a nonlocal version of the Shigesada–
Kawazaki–Teramoto (SKT) cross-diffusion system. We prove the existence of solutions to the …

We study several Fokker-Planck equations arising from a stochastic chemical kinetic system
modeling a gene regulatory network in biology. The densities solving the Fokker-Planck …

In this paper, we introduce and analyse numerical schemes for the homogeneous and the
kinetic Lévy-Fokker-Planck equation. The discretizations are designed to preserve the main …