An L1-error bound for a semi-implicit difference scheme applied to a stiff system of conservation laws
A straightforward semi-implicit finite-difference method approximating a system of conservation laws including a stiff relaxation term is analyzed. We show that the error, measured in L-1, is bounded by O(root Delta t) independent of the stiffness, where the time step Delta t represents the mesh size. As a simple corollary we obtain that solutions of the stiff system converge toward the solution o