Convergence of MUSCL Relaxing Schemes
نویسندگان
چکیده
We consider the convergence and stability property of MUSCL relaxing schemes applied to conservation laws with stii source terms. The maximum principle for the numerical schemes will be established. It will be also shown that the MUSCL relaxing schemes are uniformly l 1-and T V-stable in the sense that they are bounded by a constant independent of the relaxation parameter , the Lipschitz constant of the stii source term and the time step t. The Lipschitz constant of the l 1 continuity in time for the MUSCL relaxing schemes is shown to be independent of and t. The convergence of the relaxing schemes to the corresponding MUSCL relaxed schemes is then established.
منابع مشابه
Convergence of MUSCL Relaxing Schemes to the Relaxed Schemes for Conservation Laws with Stiff Source Terms
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