NEW ALGORITHMS FOR THE 2D TRANSPORT-EQUATION

Citation
S. Akesbi et M. Nicolet, NEW ALGORITHMS FOR THE 2D TRANSPORT-EQUATION, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(6), 1997, pp. 699-705
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
324
Issue
6
Year of publication
1997
Pages
699 - 705
Database
ISI
SICI code
0764-4442(1997)324:6<699:NAFT2T>2.0.ZU;2-V
Abstract
The aim of this work is to introduce and analyse the new algorithms fo r-solving the transport equation in two-dimensional plane geometry. Th ese schemes are based on a splitting method for the collision operator , introduced in [1]-[3]. Theoretical and numerical results are given a nd prove the superiority of these schemes over classical algorithms.