An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations

Laurent Gosse; Giuseppe Toscani

doi:10.1016/S1631-073X(02)02257-4

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 ¹ ; Giuseppe Toscani ¹

¹ Dipartimento di Matematica, Università degli Studi di Pavia, via Ferrata, 1, 27100 Pavia, Italy

Comptes Rendus. Mathématique, Volume 334 (2002) no. 4, pp. 337-342.

Résumé
Abstract

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.

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.

Reçu le : 2001-11-13
Accepté le : 2001-12-17
Publié le : 2002-01-01

DOI : 10.1016/S1631-073X(02)02257-4

Affiliations des auteurs :

Laurent Gosse ¹ ; Giuseppe Toscani ¹

¹ Dipartimento di Matematica, Università degli Studi di Pavia, via Ferrata, 1, 27100 Pavia, Italy

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     title = {An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations},
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     doi = {10.1016/S1631-073X(02)02257-4},
     language = {en},
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Laurent Gosse; Giuseppe Toscani. An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations. Comptes Rendus. Mathématique, Volume 334 (2002) no. 4, pp. 337-342. doi : 10.1016/S1631-073X(02)02257-4. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02257-4/

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