Preprint 2000-016

A Difference Scheme for Conservation Laws with a Discontinuous Flux - the Nonconvex Case

John D. Towers

Abstract: In a previous work by the author, convergence was established for a simple difference scheme approximating a scalar conservation law where the flux was concave, and had a discontinuous spatially varying coefficient. The main result of this paper is an extension of that convergence theorem to the situation where the flux may have any finite number of critical points. As in the previous paper, compactness is established by bounding the total variation of a Temple functional, but the method of achieving this bound, via discrete entropy inequalities, is new.

Available as PostScript (213 Kbytes) or gzipped PostScript (82 Kbytes; uncompress using gunzip).
John D. Towers, <>
Publishing information:
Submitted by:
<> April 29 2000.

[ 1996 | 1997 | 1998 | 1999 | 2000 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <>
2000-05-02 13:17:08 UTC