A difference scheme for a stiff system of conservation laws

Authors
Yong, WA
Citation
Wa. Yong, A difference scheme for a stiff system of conservation laws, P RS EDIN A, 128, 1998, pp. 1403-1414
Citations number
9
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
128
Year of publication
1998
Part
6
Pages
1403 - 1414
Database
ISI
SICI code
0308-2105(1998)128:<1403:ADSFAS>2.0.ZU;2-5
Abstract
A stiff system of conservation laws is analysed using a difference method. The existence of entropy-satisfying BV-solutions to the initial value probl ems is established. Furthermore, we show that the solutions converge to the solutions of the corresponding equilibrium system as the relaxation time l ends to zero.