An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
[Un schema « équilibre » et « asymptotic-preserving » pour les equations de la chaleur hyperboliques]
Gosse, Laurent1 ; Toscani, Giuseppe1
1 Dipartimento di Matematica, Università degli Studi di Pavia, via Ferrata, 1, 27100 Pavia, Italy
Comptes Rendus. Mathématique, Tome 334 (2002) no. 4, pp. 337-342.

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.

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Accepté le :
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DOI : 10.1016/S1631-073X(02)02257-4
Gosse, Laurent 1 ; Toscani, Giuseppe 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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Gosse, Laurent; Toscani, Giuseppe. An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations. Comptes Rendus. Mathématique, Tome 334 (2002) no. 4, pp. 337-342. doi : 10.1016/S1631-073X(02)02257-4. http://www.numdam.org/articles/10.1016/S1631-073X(02)02257-4/

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