93 citations · 468 across the 32 of their papers we have counts for
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Asymptotic Preserving numerical schemes for multiscale parabolic problems
Nicolas Crouseilles, Mohammed Lemou, Gilles Vilmart
We consider a class of multiscale parabolic problems with diffusion coefficients oscillating in space at a possibly small scale . Numerical homogenization methods are…
Multiscale numerical schemes for kinetic equations in the anomalous diffusion limit
Nicolas Crouseilles, Hélène Hivert, Mohammed Lemou
We construct numerical schemes to solve kinetic equations with anomalous diffusion scaling. When the equilibrium is heavy-tailed or when the collision frequency degenerates for sma…
Numerical schemes for kinetic equations in the diffusion and anomalous diffusion limits. Part I: the case of heavy-tailed equilibrium
Nicolas Crouseilles, Hélène Hivert, Mohammed Lemou
In this work, we propose some numerical schemes for linear kinetic equations in the diffusion and anomalous diffusion limit. When the equilibrium distribution function is a Maxwell…