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Comptes Rendus Mathématique
Volume 350, n° 9-10
pages 481-486 (mai 2012)
Doi : 10.1016/j.crma.2012.05.010
Received : 31 January 2012 ;  accepted : 22 May 2012
High order asymptotic-preserving schemes for the Boltzmann equation
Schémas dʼordre élévé et préservant lʼasymptotique pour lʼéquation de Boltzmann
 

Giacomo Dimarco a , Lorenzo Pareschi b
a Université de Toulouse, UPS, INSA, UT1, UTM, CNRS, UMR 5219, institut de mathématiques de Toulouse, 31062 Toulouse, France 
b Mathematics Department, University of Ferrara and CMCS, Ferrara, Italy 

Abstract

In this Note we discuss the construction of high order asymptotic preserving numerical schemes for the Boltzmann equation. The methods are based on the use of Implicit–Explicit (IMEX) Runge–Kutta methods combined with a penalization technique recently introduced in Filbet and Jin (2010) [[6]].

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

Dans cette Note nous discutons la construction de schémas dʼordre élevé pour lʼéquation de Boltzmann qui préservent la limite asymptotique. Les méthodes sont basées sur lʼutilisation de schémas de Runge–Kutta explicites–implicites combinées avec une technique de pénalisation introduit récemment par Filbet et Jin (2010) [[6]].

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


© 2012  Published by Elsevier Masson SAS de la part de Académie des sciences.
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