A new deviational asymptotic preserving Monte Carlo method for the homogeneous Boltzmann equation

DOI10.4310/CMS.2020.V18.N8.A10zbMath1464.35166OpenAlexW2995649085MaRDI QIDQ2023532

Giacomo Dimarco, Anaïs Crestetto, Mohammed Lemou, Nicolas Crouseilles

Publication date: 3 May 2021

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2020.v18.n8.a10

zbMATH Keywords

Boltzmann equationMonte Carlo methodsasymptotic preserving schemesmicro-macro decomposition

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Statistical mechanics of gases (82D05) Boltzmann equations (35Q20) Spectral, collocation and related (meshless) methods applied to problems in statistical mechanics (82M22) Monte Carlo methods applied to problems in statistical mechanics (82M31)

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