We 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. To cite this article: G.-H. Cottet, L. Weynans, C. R. Acad. Sci. Paris, Ser. I 343 (2006). © 2006 Académie des sciences.
Cottet, G. H., & Weynans, L. (2006). Particle methods revisited: a class of high order finite-difference methods. Comptes Rendus Mathematique, 343(1), 51–56. https://doi.org/10.1016/j.crma.2006.05.001