On steady-state preserving spectral methods for homogeneous Boltzmann equations

Filbet, Francis; Pareschi, Lorenzo; Rey, Thomas

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1016/j.crma.2015.01.015

Title :

On steady-state preserving spectral methods for homogeneous Boltzmann equations

Author(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]

Journal title :

Comptes Rendus. Mathématique

Pages :

309–314

Publisher :

Académie des sciences (Paris)

Publication date :

2015-04

ISSN :

1631-073X

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

European Project :

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

Collections :