Méthodes rapides pour l'intégrale de collision de Boltzmann

Clément Mouhot; Lorenzo Pareschi

doi:10.1016/j.crma.2004.04.010

Méthodes rapides pour l'intégrale de collision de Boltzmann

Translated title of the contribution: Fast methods for the Boltzmann collision integral

Clément Mouhot^*
, Lorenzo Pareschi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

In this Note we present methods for the development of fast numerical schemes for the Boltzmann collision integral. These schemes are based on a combination of a Carleman-like representation together with a suitable angular approximation. For the hard spheres model in dimension three, we are able to derive spectral methods that can be evaluated through fast algorithms. Estimates for the errors and spectral accuracy are also given.

Translated title of the contribution	Fast methods for the Boltzmann collision integral
Original language	French
Pages (from-to)	71-76
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	339
Issue number	1
DOIs	https://doi.org/10.1016/j.crma.2004.04.010
Publication status	Published - 2004

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2004.04.010

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title = "M{\'e}thodes rapides pour l'int{\'e}grale de collision de Boltzmann",

abstract = "In this Note we present methods for the development of fast numerical schemes for the Boltzmann collision integral. These schemes are based on a combination of a Carleman-like representation together with a suitable angular approximation. For the hard spheres model in dimension three, we are able to derive spectral methods that can be evaluated through fast algorithms. Estimates for the errors and spectral accuracy are also given.",

author = "Cl{\'e}ment Mouhot and Lorenzo Pareschi",

year = "2004",

doi = "10.1016/j.crma.2004.04.010",

language = "French",

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AU - Pareschi, Lorenzo

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N2 - In this Note we present methods for the development of fast numerical schemes for the Boltzmann collision integral. These schemes are based on a combination of a Carleman-like representation together with a suitable angular approximation. For the hard spheres model in dimension three, we are able to derive spectral methods that can be evaluated through fast algorithms. Estimates for the errors and spectral accuracy are also given.

AB - In this Note we present methods for the development of fast numerical schemes for the Boltzmann collision integral. These schemes are based on a combination of a Carleman-like representation together with a suitable angular approximation. For the hard spheres model in dimension three, we are able to derive spectral methods that can be evaluated through fast algorithms. Estimates for the errors and spectral accuracy are also given.

UR - https://www.scopus.com/pages/publications/2942588405

U2 - 10.1016/j.crma.2004.04.010

DO - 10.1016/j.crma.2004.04.010

M3 - Article

AN - SCOPUS:2942588405

SN - 1631-073X

VL - 339

SP - 71

EP - 76

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 1

ER -

Méthodes rapides pour l'intégrale de collision de Boltzmann

Abstract

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