Geodesic
An introduction to finite volume methods for hyperbolic conservation laws
Francois Bouchut1
1 Département de Mathématiques et Applications, DMA - UMR 8553, Ecole Normale Supérieure 45, rue d'Ulm 75230 Paris cedex 05 - France.
ESAIM. Proceedings, Tome 15 (2005), pp. 1-17.

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Hydrodynamic transport problems often take the form of systems of hyperbolic conservation laws. This minicourse intends to introduce the main notions and tools for the numerical approximation of such systems by finite volumes. The notions of consistency, stability, and approximate Riemann solvers are explained in particular. The main ingredients to go to second-order and multidimension are given.
DOI : 10.1051/proc:2005020

Francois Bouchut 1

1 Département de Mathématiques et Applications, DMA - UMR 8553, Ecole Normale Supérieure 45, rue d'Ulm 75230 Paris cedex 05 - France. 
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Francois Bouchut. An introduction to finite volume methods for hyperbolic conservation laws. ESAIM. Proceedings, Tome 15 (2005), pp. 1-17. doi : 10.1051/proc:2005020. http://geodesic.mathdoc.fr/articles/10.1051/proc:2005020/

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