NEW USEFUL ALGORITHMS IN TRANSPORT-THEORY

Citation
S. Akesbi et M. Nicolet, NEW USEFUL ALGORITHMS IN TRANSPORT-THEORY, Modelisation mathematique et analyse numerique, 32(3), 1998, pp. 341-358
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
0764583X
Volume
32
Issue
3
Year of publication
1998
Pages
341 - 358
Database
ISI
SICI code
0764-583X(1998)32:3<341:NUAIT>2.0.ZU;2-U
Abstract
The aim of this work is to introduce and analyze two new schemes for s olving the transport equations in slab geometry The first one is in th e spirit based on the S.O.R. relaxation method for finite dimensional systems, applied to the system obtained by splitting the collision ope rator The second algorithm is obtained by adaptation of the synthetic diffusion method principle to the new schemes born from the splitting method, Numerical comparisons of convergence are given. (C) Elsevier, Paris.