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Comptes Rendus Mathématique
Volume 334, n° 4
pages 337-342 (2002)
Doi : S1631-073X(02)02257-4
Received : 13 November 2001 ;  accepted : 17 December 2001
An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
Un schema « équilibre » et « asymptotic-preserving » pour les equations de la chaleur hyperboliques
 

Laurent Gosse, Giuseppe Toscani 1
Dipartimento di Matematica, Università degli Studi di Pavia, via Ferrata, 1, 27100 Pavia, Italy 

Note presented by Carlo Cercignani

Abstract

We propose here a well-balanced numerical scheme for the one-dimensional Goldstein-Taylor system which is endowed with all the stability properties inherent to the continuous problem and works in both rarefied and diffusive regimes. To cite this article: L. Gosse, G. Toscani, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 337-342.

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

On propose un schéma numérique « équilibre » pour le système de Goldstein-Taylor monodimensionnel possédant toutes les propriétés de stabilité du problème continu et qui fonctionne dans les regimes raréfiés et diffusifs. Pour citer cet article : L. Gosse, G. Toscani, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 337-342.

The full text of this article is available in PDF format.
1  Partially supported by TMR project “Asymptotic Methods in Kinetic Theory” # ERB FMRX CT97 0157.


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