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.
mailto:conservation@math.ntnu.no Last modified: Tue Jul 2 18:51:32 1996