Convergence of Relaxation Schemes for Conservation Laws
Denise Aregba-Driollet and Roberto Natalini
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
- Available as PostScript
- Convergence of Relaxation Schemes for Conservation Laws
- Denise Aregba-Driollet,
- Roberto Natalini,
- Publishing information:
- Quaderno IAC n. 29, Novembre 1995; to appear in Applicable Anal.
- Submitted by:
July 2 1996.
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