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

19 Scopus citations

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
State	Published - 1 Apr 2015
Externally published	Yes

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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.",

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AU - Rey, Thomas

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On steady-state preserving spectral methods for homogeneous Boltzmann equations

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