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Comptes Rendus Mathématique
Volume 343, n° 1
pages 51-56 (juillet 2006)
Doi : 10.1016/j.crma.2006.05.001
Received : 15 February 2006 ;  accepted : 2 May 2006
Particle methods revisited: a class of high order finite-difference methods
Les méthodes particulaires revisitées : une classe de schémas de différences finies dʼordre élevé
 

Georges-Henri Cottet a , Lisl Weynans a, b
a LMC-IMAG, Université Joseph-Fourier, BP 53, 38041 Grenoble cedex 9, France 
b CEA-DIF, BP 12, 91680 Bruyères-le-Châtel, France 

Abstract

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).

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Résumé

On propose dans cette Note une nouvelle analyse des méthodes particulaires utilisant des remaillages. Cette analyse fait apparaître une classe de schémas de différences finis dʼordre élevé. Des illustrations numériques viennent compléter cette analyse et permettent de comparer les schémas particulaires avec le schéma de Lax-Wendroff. Pour citer cet article : G.-H. Cottet, L. Weynans, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

The full text of this article is available in PDF format.


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