A NUMERICAL-METHOD FOR THE FIRST-ORDER WAVE-EQUATION WITH DISCONTINUOUS INITIAL DATA

Authors
EFRAIMSSON G
Citation
G. Efraimsson, A NUMERICAL-METHOD FOR THE FIRST-ORDER WAVE-EQUATION WITH DISCONTINUOUS INITIAL DATA, Numerical methods for partial differential equations, 14(3), 1998, pp. 353-365
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerical methods for partial differential equations → ACNP
ISSN journal
0749159X
Volume
14
Issue
3
Year of publication
1998
Pages
353 - 365
Database
ISI
SICI code
0749-159X(1998)14:3<353:ANFTFW>2.0.ZU;2-5
Abstract
We introduce a method, constructed such that numerical solutions of th e wave equation are well behaved when the solutions also contain disco ntinuities. The wave equation serves as a model problem for the Euler equations when the solution contains a contact discontinuity. Numerica l computations of linear equations and the Euler equations in one and two dimensions are presented. (C) 1998 John Wiley & Sons, Inc.