An Asymptotic Preserving Scheme for a Stochastic Linear Kinetic Equation in the Diffusion Regime

Nathalie Ayi

doi:10.1007/978-3-030-69784-6_3

An Asymptotic Preserving Scheme for a Stochastic Linear Kinetic Equation in the Diffusion Regime

Nathalie Ayi

https://doi.org/10.1007/978-3-030-69784-6_3

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Publication Date: Jan 1, 2021

Affiliation: Sorbonne Université, Université Sorbonne Nouvelle

#Stochastic Kinetic Equation #Micro-macro Decomposition + Show 8 more

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Abstract

In this paper, we present an Asymptotic Preserving scheme for a stochastic linear kinetic equation. Its construction is based on a micro-macro decomposition. We start by explaining how we build it and then perform the formal numerical limit. After stating some stability results proved in [], some numerical tests confirming the good performances of our scheme are finally presented.

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