GENERALIZATION OF THE NESSYAHU-TADMOR SCH EME FOR HYPERBOLIC-EQUATIONS IN 2 SPACE DIMENSIONS

Authors
ARMINJON P VIALLON MC
Citation
P. Arminjon et Mc. Viallon, GENERALIZATION OF THE NESSYAHU-TADMOR SCH EME FOR HYPERBOLIC-EQUATIONS IN 2 SPACE DIMENSIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(1), 1995, pp. 85-88
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
320
Issue
1
Year of publication
1995
Pages
85 - 88
Database
ISI
SICI code
0764-4442(1995)320:1<85:GOTNSE>2.0.ZU;2-B
Abstract
The Nessyahu-Tadmor scheme is a van Leer type scheme built on the Lax- Friedrichs scheme. It is defined for a one-dimensional hyperbolic prob lem and the convergence to the entropic solution is proved in the case of a single equation. In this Note an extension to a two-dimensional scalar equation with an unstructured mesh is proposed.