Particle methods revisited: a class of high order finite-difference methods
Author(s) -
GeorgesHenri Cottet,
Lisl Weynans
Publication year - 2006
Publication title -
comptes rendus mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.803
H-Index - 68
eISSN - 1778-3569
pISSN - 1631-073X
DOI - 10.1016/j.crma.2006.05.001
Subject(s) - mathematics , class (philosophy) , humanities , order (exchange) , calculus (dental) , finite difference method , pure mathematics , mathematical analysis , epistemology , philosophy , medicine , dentistry , finance , economics
International audienceWe propose a new analysis of particle method with remeshing. We derive a class of high-order finite difference methods. Our analysis is completed by numerical comparisons with Lax-Wendroff schemes for the Burger equation
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