57 citations · 152 across the 19 of their papers we have counts for
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An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit
Christophe Besse, Rémi Carles, Florian Méhats
We consider the semiclassical limit for the nonlinear Schrodinger equation. We introduce a phase/amplitude representation given by a system similar to the hydrodynamical formulatio…
Asymptotic preserving schemes for highly oscillatory kinetic equation
Nicolas Crouseilles, Mohammed Lemou, Florian Méhats
This work is devoted to the numerical simulation of a Vlasov-Poisson model describing a charged particle beam under the action of a rapidly oscillating external electric field. We…
Micro-macro schemes for kinetic equations including boundary layers
Mohammed Lemou, Florian Méhats
We introduce a new micro-macro decomposition of collisional kinetic equations in the specific case of the diffusion limit, which naturally incorporates the incoming boundary condit…