Multiscale numerical schemes for kinetic equations in the anomalous diffusion limit

DOI10.1016/J.CRMA.2015.05.003zbMath1330.76116arXiv1505.03250OpenAlexW2116086076MaRDI QIDQ2517091

Hélène Hivert, Nicolas Crouseilles, Mohammed Lemou

Publication date: 14 August 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03250

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Stochastic particle methods (65C35) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (4)

Numerical schemes for kinetic equation with diffusion limit and anomalous time scale ⋮ Fractional diffusion limits of non-classical transport equations ⋮ Numerical Schemes for Kinetic Equations in the Anomalous Diffusion Limit. Part I: The Case of Heavy-Tailed Equilibrium ⋮ Numerical Schemes for Kinetic Equations in the Anomalous Diffusion Limit. Part II: Degenerate Collision Frequency

Cites Work

• Fractional diffusion limit for collisional kinetic equations: a Hilbert expansion approach
• Fractional diffusion limit for collisional kinetic equations
• Numerical Schemes for Kinetic Equations in the Anomalous Diffusion Limit. Part II: Degenerate Collision Frequency
• ANOMALOUS DIFFUSION LIMIT FOR KINETIC EQUATIONS WITH DEGENERATE COLLISION FREQUENCY
• A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit

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