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math.NA2015
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…
math.NA2015
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…