High order asymptotic-preserving schemes for the Boltzmann equation

Giacomo Dimarco; Lorenzo Pareschi

doi:10.1016/j.crma.2012.05.010

High order asymptotic-preserving schemes for the Boltzmann equation

Giacomo Dimarco, Lorenzo Pareschi

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

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].

Original language	English
Pages (from-to)	481-486
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	350
Issue number	9-10
DOIs	https://doi.org/10.1016/j.crma.2012.05.010
State	Published - May 2012
Externally published	Yes

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title = "High order asymptotic-preserving schemes for the Boltzmann equation",

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].",

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AU - Pareschi, Lorenzo

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AB - 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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DO - 10.1016/j.crma.2012.05.010

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High order asymptotic-preserving schemes for the Boltzmann equation

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