Speaker
Alain BLAUSTEIN
Description
We propose a numerical method for a Vlasov-Fokker-Planck model with external applied force field and prove quantitative results ensuring that it is Asymptotic-Preserving for both the macroscopic regime and the long time behavior simultaneously. We illustrate these results with various numerical experiments in which we observe, among others, transition phase between macroscopic and long time behavior as well as other finer phenomena, such as oscillations, which were not predicted by our theoretical analysis.