On steady-state preserving spectral methods for homogeneous Boltzmann equations

Francis Filbet; Lorenzo Pareschi; Thomas Rey

doi:10.1016/j.crma.2015.01.015

On steady-state preserving spectral methods for homogeneous Boltzmann equations

Francis Filbet, Lorenzo Pareschi, Thomas Rey

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

21 Citations (Scopus)

Abstract

In this note, we present a general way to construct spectral methods for the collision operator of the Boltzmann equation that preserves exactly the Maxwellian steady state of the system. We show that the resulting method is able to approximate with spectral accuracy the solution uniformly in time.

Original language	English
Pages (from-to)	309-314
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	353
Issue number	4
DOIs	https://doi.org/10.1016/j.crma.2015.01.015
Publication status	Published - Apr 2015

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2015.01.015

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title = "On steady-state preserving spectral methods for homogeneous Boltzmann equations",

abstract = "In this note, we present a general way to construct spectral methods for the collision operator of the Boltzmann equation that preserves exactly the Maxwellian steady state of the system. We show that the resulting method is able to approximate with spectral accuracy the solution uniformly in time.",

author = "Francis Filbet and Lorenzo Pareschi and Thomas Rey",

note = "Publisher Copyright: {\textcopyright} 2015 Acad{\'e}mie des sciences.",

year = "2015",

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language = "English",

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AU - Pareschi, Lorenzo

AU - Rey, Thomas

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N2 - In this note, we present a general way to construct spectral methods for the collision operator of the Boltzmann equation that preserves exactly the Maxwellian steady state of the system. We show that the resulting method is able to approximate with spectral accuracy the solution uniformly in time.

AB - In this note, we present a general way to construct spectral methods for the collision operator of the Boltzmann equation that preserves exactly the Maxwellian steady state of the system. We show that the resulting method is able to approximate with spectral accuracy the solution uniformly in time.

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U2 - 10.1016/j.crma.2015.01.015

DO - 10.1016/j.crma.2015.01.015

M3 - Article

AN - SCOPUS:84924430055

SN - 1631-073X

VL - 353

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EP - 314

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 4

ER -

On steady-state preserving spectral methods for homogeneous Boltzmann equations

Abstract

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