Consistency, accuracy and entropy behaviour of remeshed particle methods

DOI10.1051/M2AN/2012019zbMath1278.65136OpenAlexW2140152949MaRDI QIDQ2836453

Adrien Magni, Lisl Weynans

Publication date: 3 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2012019

zbMATH Keywords

convergenceconsistencylimitersfinite difference schemeBurgers equationEuler equationnonlinear conservation lawentropy inequalitiestruncation errorinfinite domaininterpolation kernelsnonlinear scalar transport equationparticle methods with remeshingtotal-variation diminishing-remeshing scheme

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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