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

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

19 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

Zugriff auf Dokument

10.1016/j.crma.2015.01.015

Andere Dateien und Links

Verknüpfung zur Publikation in Scopus

Dieses zitieren

@article{d0e8bf761ff248e690b00cc3d18d10d2,

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",

month = apr,

day = "1",

doi = "10.1016/j.crma.2015.01.015",

language = "English",

volume = "353",

pages = "309--314",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "4",

}

TY - JOUR

T1 - On steady-state preserving spectral methods for homogeneous Boltzmann equations

AU - Filbet, Francis

AU - Pareschi, Lorenzo

AU - Rey, Thomas

PY - 2015/4/1

Y1 - 2015/4/1

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.

UR - http://www.scopus.com/inward/record.url?scp=84924430055&partnerID=8YFLogxK

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

SP - 309

EP - 314

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 4

ER -

On steady-state preserving spectral methods for homogeneous Boltzmann equations

Abstract

Zugriff auf Dokument

Andere Dateien und Links

Fingerprint

Dieses zitieren