Convergence of Relaxation Schemes for Conservation Laws

Denise Aregba-Driollet and Roberto Natalini

Abstract: We study the stability and the convergence for a class of relaxing numerical schemes for conservation laws. Following the approach recently proposed by S. Jin and Z. Xin, we use a semilinear local relaxation approximation, with a stiff lower order term, and we construct some numerical first and second order accurate algorithms, which are uniformly bounded in the $L^\infty$ and BV norms with respect to the relaxation parameter. The relaxation limit is also investigated.

Paper:
Available as PostScript
Title:
Convergence of Relaxation Schemes for Conservation Laws
Author(s):
Denise Aregba-Driollet, mailto:aregba@math.u-bordeaux.fr
Roberto Natalini, mailto:natalini@asterix.iac.rm.cnr.it
Publishing information:
Quaderno IAC n. 29, Novembre 1995; to appear in Applicable Anal.
Submitted by:
mailto:natalini@asterix.iac.rm.cnr.it July 2 1996.

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