On steady-state preserving spectral methods for homogeneous Boltzmann equations

Filbet, Francis; Pareschi, Lorenzo; Rey, Thomas

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1016/j.crma.2015.01.015

Titre :

On steady-state preserving spectral methods for homogeneous Boltzmann equations

Auteur(s) :

Filbet, Francis [Auteur]
Modélisation mathématique, calcul scientifique [MMCS]
Kinetic models AppLIed for Future of Fusion Energy [KALiFFE]
Pareschi, Lorenzo [Auteur]
Rey, Thomas [Auteur]

Reliable numerical approximations of dissipative systems [RAPSODI]
Center for Scientific Computation and Mathematical Modeling [CSCAMM]

Titre de la revue :

Comptes Rendus. Mathématique

Pagination :

309–314

Éditeur :

Académie des sciences (Paris)

Date de publication :

2015-04

ISSN :

1631-073X

Discipline(s) HAL :

Mathématiques [math]/Analyse numérique [math.NA]

Résumé en anglais : [en]

In this note, we present a general way to construct spectral methods for the collision operator of the Boltzmann equation which preserves exactly the Maxwellian steady state of the system. We show that the resulting method ...
Lire la suite >In this note, we present a general way to construct spectral methods for the collision operator of the Boltzmann equation which 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.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet Européen :

Numerical simulations and analysis of kinetic models - Applications to plasma physics and Nanotechnology

Collections :