[Schémas dʼordre élévé et préservant lʼasymptotique pour lʼéquation de Boltzmann]
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].
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].
Accepté le :
Publié le :
Giacomo Dimarco 1 ; Lorenzo Pareschi 2
@article{CRMATH_2012__350_9-10_481_0,
author = {Giacomo Dimarco and Lorenzo Pareschi},
title = {High order asymptotic-preserving schemes for the {Boltzmann} equation},
journal = {Comptes Rendus. Math\'ematique},
pages = {481--486},
publisher = {Elsevier},
volume = {350},
number = {9-10},
year = {2012},
doi = {10.1016/j.crma.2012.05.010},
language = {en},
}
Giacomo Dimarco; Lorenzo Pareschi. High order asymptotic-preserving schemes for the Boltzmann equation. Comptes Rendus. Mathématique, Volume 350 (2012) no. 9-10, pp. 481-486. doi : 10.1016/j.crma.2012.05.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.05.010/
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