A Difference Scheme for Conservation Laws with a Discontinuous Flux - the
John D. Towers
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. Additionally, spatially
varying source terms are allowed. The spatially varying
numerical flux is also shown to satisfy maximum and minimum
principles, and to be Total Variation Decreasing (TVD) in time.
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- John D. Towers,
- Publishing information:
- This is a revision of a previously submitted preprint,
2000-16. The title is unchanged, but the
abstract and the body of the paper have changes.
- Submitted by:
July 3 2000.
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Last modified: Fri Jul 7 13:17:14 MET DST 2000