A QUASI 4TH ORDER IN-SPACE EXPLICIT SCHEM E FOR CONSERVATION-LAWS

Authors
CARGO P LEROUX AY
Citation
P. Cargo et Ay. Leroux, A QUASI 4TH ORDER IN-SPACE EXPLICIT SCHEM E FOR CONSERVATION-LAWS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(6), 1995, pp. 749-752
Citations number
3
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
320
Issue
6
Year of publication
1995
Pages
749 - 752
Database
ISI
SICI code
0764-4442(1995)320:6<749:AQ4OIE>2.0.ZU;2-Y
Abstract
We construct a numerical scheme for conservation laws and prove its co nvergence to the entropy solution. The scheme is fourth order accurate in space away from these points where the solution reaches its extrem a. The main difference with the existing other schemes is that we do n ot need to solve Riemann problems to compute fluxes at cell interfaces . Using this approach we obtain a substantial saving of CPU time for a similar accuracy.