93 citations · 468 across the 32 of their papers we have counts for
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A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations
Philippe Chartier, Mohammed Lemou, Florian Méhats +1
We introduce a new methodology to design uniformly accurate methods for oscillatory evolution equations. The targeted models are envisaged in a wide spectrum of regimes, from non-s…
Stable Ground States for the HMF Poisson Model
Marine Fontaine, Mohammed Lemou, Florian Méhats
In this paper we prove the nonlinear orbital stability of a large class of steady states solutions to the Hamiltonian Mean Field (HMF) system with a Poisson interaction potential.…
Nonlinear Geometric Optics Based Multiscale Stochastic Galerkin Methods for Highly Oscillatory Transport Equations with Random Inputs
Nicolas Crouseilles, Shi Jin, Mohammed Lemou +1
We develop generalized polynomial chaos (gPC) based stochastic Galerkin (SG) methods for a class of highly oscillatory transport equations that arise in semiclassical modeling of n…
A particle micro-macro decomposition based numerical scheme for collisional kinetic equations in the diffusion scaling
Anaïs Crestetto, Nicolas Crouseilles, Mohammed Lemou
In this work, we derive particle schemes, based on micro-macro decomposition, for linear kinetic equations in the diffusion limit. Due to the particle approximation of the micro pa…