On the convergence of the regularized entropy-based moment method for kinetic equations
type: Item
instance of: scholarly article
title: On the convergence of the regularized entropy-based moment method for kinetic equations
author: Martin Frank
author: Graham Alldredge
author: Jan Giesselmann
publication date: 2023-02-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/2105.10274
review text: This article is concerned with the convergence of the regularized entropy-based moment method for kinetic equations. The authors prove such a convergence by using the method of relative entropy and under the assumptions that the velocity domain is bounded and that the original moment solution is Lipschitz continuous in space and bounded away from the boundary of realizability. Convergence rates are also obtained.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 82C40
zbMATH DE Number: 7650810
zbMATH Keywords: kinetic equations
zbMATH Keywords: spatiotemporal discretization
MaRDI profile type: Publication
OpenAlex ID: W3164209214
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DOI: 10.5802/SMAI-JCM.93
published in: The SMAI journal of computational mathematics
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description: scientific article; zbMATH DE number 7650810