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

^*Corresponding author for this work

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

29 Citations (Scopus)

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
Publication status	Published - May 2012

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2012.05.010

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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].",

author = "Giacomo Dimarco and Lorenzo Pareschi",

year = "2012",

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doi = "10.1016/j.crma.2012.05.010",

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journal = "Comptes Rendus Mathematique",

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T1 - High order asymptotic-preserving schemes for the Boltzmann equation

AU - Dimarco, Giacomo

AU - Pareschi, Lorenzo

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N2 - 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].

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].

UR - https://www.scopus.com/pages/publications/84862338002

U2 - 10.1016/j.crma.2012.05.010

DO - 10.1016/j.crma.2012.05.010

M3 - Article

AN - SCOPUS:84862338002

SN - 1631-073X

VL - 350

SP - 481

EP - 486

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 9-10

ER -

High order asymptotic-preserving schemes for the Boltzmann equation

Abstract

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