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The validity of the modified equation for nonlinear shock waves. (English) Zbl 0581.76072

The modified (model, equivalent) equation is an important tool in designing and analyzing nonlinear difference schemes. In this note, the validity of this principle is rigorously established for nonlinear shock wave solutions and the upwind scheme in a particular case.

MSC:

76L05 Shock waves and blast waves in fluid mechanics
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