TY - JOUR
T1 - Méthodes rapides pour l'intégrale de collision de Boltzmann
AU - Mouhot, Clément
AU - Pareschi, Lorenzo
N1 - Funding Information:
✩ Support by the European network HYKE, funded by the EC as contract HPRN-CT-2002-00282, is acknowledged. E-mail address: [email protected] (C. Mouhot).
Funding Information:
Support by the European network HYKE, funded by the EC as contract HPRN-CT-2002-00282, is acknowledged.
PY - 2004/7/1
Y1 - 2004/7/1
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 - http://www.scopus.com/inward/record.url?scp=2942588405&partnerID=8YFLogxK
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 -