Particle methods revisited: a class of high-order finite-difference schemes

Georges-Henri Cottet (1) , Lisl Weynans (1, 2)

1 LMC - IMAG - Laboratoire de Modélisation et Calcul
2 CEA, Bruyeres le Chatel, France

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.

Domaines: Analyse numérique [math.NA]

Georges-Henri Cottet, Lisl Weynans. Particle methods revisited: a class of high-order finite-difference schemes. Comptes Rendus. Mathématique, 2006, 343 (1), pp.51-56. ⟨10.1016/j.crma.2006.05.001⟩. ⟨hal-00354751⟩