3 papers
math.NA2025
On the approximation of the von Neumann equation in the semiclassical limit. Part II : numerical analysis
Francis Filbet, François Golse
This paper is devoted to the numerical analysis of the Hermite spectral method proposed in [14], which provides, in the semiclassical limit, an asymptotic preserving approximation…
math.AP2024
On the approximation of the von Neumann equation in the semi-classical limit. Part I : numerical algorithm
Francis Filbet, François Golse
We propose a new approach to discretize the von Neumann equation, which is efficient in the semi-classical limit. This method is first based on the so called Weyl's variables to ad…
math.AP2016
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation
F Golse, Cyril Imbert, Clément Mouhot +1
We extend the De Giorgi--Nash--Moser theory to a class of kinetic Fokker-Planck equations and deduce new results on the Landau-Coulomb equation. More precisely, we first study the…