ACCELERATION OF THE CONVERGENCE IN TRANSP ORT-THEORY BY SPLITTING OPERATOR AND RELAXATION METHOD

Authors
AKESBI S NICOLET M
Citation
S. Akesbi et M. Nicolet, ACCELERATION OF THE CONVERGENCE IN TRANSP ORT-THEORY BY SPLITTING OPERATOR AND RELAXATION METHOD, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(5), 1995, pp. 637-640
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
5
Year of publication
1995
Pages
637 - 640
Database
ISI
SICI code
0764-4442(1995)321:5<637:AOTCIT>2.0.ZU;2-C
Abstract
The aim of this work is to introduce and analyze a new scheme for solv ing the transport equations in slab geometry. This scheme is in the sp irit based on the relaxation method for finite dimensional systems and use a splitting method for the transport operator, introduced in [1] and [2]. We then obtain an efficient algorithm for solving one dimensi onal transport equations. A numerical experiment is given.