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

Université Claude Bernard Lyon 1
University of Ferrara
University of Maryland, College Park

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

22 Zitate (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.

Originalsprache	Englisch
Seiten (von - bis)	309-314
Seitenumfang	6
Fachzeitschrift	Comptes Rendus Mathematique
Jahrgang	353
Ausgabenummer	4
DOIs	https://doi.org/10.1016/j.crma.2015.01.015
Publikationsstatus	Veröffentlicht - 1 Apr. 2015
Extern publiziert	Ja

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10.1016/j.crma.2015.01.015

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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",

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year = "2015",

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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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On steady-state preserving spectral methods for homogeneous Boltzmann equations

Abstract

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