HAL - INRIA :: [inria-00629081, version 1] Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation

inria-00629081, version 1

Enhanced convergence estimates for semi-lagrangian schemes Application to the Vlasov-Poisson equation

Frédérique Charles () ¹, Bruno Després ¹, Michel Mehrenberger ^2, 3

(2011)

Résumé : We prove enhanced error estimates for high order semi-lagrangian discretizations of the Vlasov-Poisson equation. It provides new insights into optimal numerical strategies for the numerical solution of this problem. The new error estimate is based on advanced error estimates for semi-lagrangian schemes, also equal to shifted Strang's schemes, for the discretization of the advection equation.

1 : Laboratoire Jacques-Louis Lions (LJLL)
CNRS : UMR7598 – Université Paris VI - Pierre et Marie Curie
2 : Institut de Recherche Mathématique Avancée (IRMA)
CNRS : UMR7501 – Université de Strasbourg
3 : CALVI (INRIA Lorraine / IECN / LSIIT / IRMA)
CNRS : UMR7501 – CNRS : UMR7502 – CNRS : UMR7005 – INRIA – Université Henri Poincaré - Nancy I – Université de Strasbourg

Collaboration : CALVI

inria-00629081, version 1
http://hal.inria.fr/inria-00629081
oai:hal.inria.fr:inria-00629081
Contributeur : Michel Mehrenberger <>
Soumis le : Mercredi 5 Octobre 2011, 06:51:23
Dernière modification le : Jeudi 1 Décembre 2011, 15:39:35

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