On Stability of Discrete Shock Profiles for Conservative Finite Difference Scheme
نویسنده
چکیده
In this paper conservative nite diierence schemes for scalar conservation laws are studied. Lax-Wendroo (L-W) schemes, Engquist-Osher (E-O) schemes and monotone schemes are models for this study. A weighted L 2 (R)-norm space is constructed to show linear and nonlinear stability of a discrete shock proole connecting two ends (u l ; u r). Existence of discrete shock prooles with small perturbation of the ends (u 0 l ; u r) and its nonlinear stability are shown. The discrete shock prooles with diierent end states (u 0 l ; u r) and (u l ; u r) are compared.
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تاریخ انتشار 2007