The goal of this review paper is to provide the reader with a concise introduction to the
mathematical theory of collision processes in (dilute) gases and plasmas, viewed as a …

This paper deals with the spatially homogeneous Boltzmann equation when grazing
collisions are involved. We study in a unified setting the Boltzmann equation without cut-off …

ON THE SPATIALLY HOMOGENEOUS LANDAU EQUATION FOR MAXWELLIAN MOLECULES
Page 1 Mathematical Models and Methods in Applied Sciences Vol. 8, No. 6 (1998) 957-983 …

In this study, we demonstrate a fully implicit algorithm for the multi-species, multidimensional
Rosenbluth–Fokker–Planck equation which is exactly mass-, momentum-, and energy …

The interaction of intense lasers with solid matter generates a hot plasma state that is well
described by the Vlasov–Fokker–Planck equation. Accurate and efficient modeling of the …

We describe an implicit finite-difference scheme for solving the Vlasov–Fokker–Planck
equation and Maxwell's equations in 2 spatial dimensions including, for the first time, self …

In this paper we present a new spectral method for the fast evaluation of the Fokker–Planck–
Landau (FPL) collision operator. The method allows us to obtain spectrally accurate …

We propose a novel deterministic particle method to numerically approximate the Landau
equation for plasmas. Based on a new variational formulation in terms of gradient flows of …

We consider in this paper random batch particle methods for efficiently solving the
homogeneous Landau equation in plasma physics. The methods are stochastic variations of …

The issue of the relaxation to equilibrium has been at the core of the kinetic theory of rarefied
gas dynamics. In the paper, we introduce the Deep Neural Network (DNN) approximated …