[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].
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@article{CRMATH_2012__350_9-10_481_0,
author = {Dimarco, Giacomo and Pareschi, Lorenzo},
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},
url = {http://www.numdam.org/articles/10.1016/j.crma.2012.05.010/}
}
TY - JOUR AU - Dimarco, Giacomo AU - Pareschi, Lorenzo TI - High order asymptotic-preserving schemes for the Boltzmann equation JO - Comptes Rendus. Mathématique PY - 2012 SP - 481 EP - 486 VL - 350 IS - 9-10 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2012.05.010/ DO - 10.1016/j.crma.2012.05.010 LA - en ID - CRMATH_2012__350_9-10_481_0 ER -
%0 Journal Article %A Dimarco, Giacomo %A Pareschi, Lorenzo %T High order asymptotic-preserving schemes for the Boltzmann equation %J Comptes Rendus. Mathématique %D 2012 %P 481-486 %V 350 %N 9-10 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2012.05.010/ %R 10.1016/j.crma.2012.05.010 %G en %F CRMATH_2012__350_9-10_481_0
Dimarco, Giacomo; Pareschi, Lorenzo. High order asymptotic-preserving schemes for the Boltzmann equation. Comptes Rendus. Mathématique, Tome 350 (2012) no. 9-10, pp. 481-486. doi : 10.1016/j.crma.2012.05.010. http://www.numdam.org/articles/10.1016/j.crma.2012.05.010/
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