Convergence and Error Estimates of Relaxation Schemes for Multidimensional Conservation Laws

نویسنده

  • M. A. Katsoulakis
چکیده

M. A. Katsoulakis, G. Kossioris and Ch. Makridakis Abstract. We study discrete and semidiscrete relaxation schemes for multidimensional scalar conservation laws. We show convergence of the relaxation schemes to the entropy solution of the conservation law and derive error estimates that exhibit the precise interaction between the relaxation time and the space/time discretization parameters of the schemes.

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تاریخ انتشار 1999