Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
- 1 October 1984
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 43 (168) , 369-381
- https://doi.org/10.2307/2008282
Abstract
Consider a scalar, nonlinear conservative difference scheme satisfying the entropy condition. It is shown that difference schemes containing more numerical viscosity will necessarily converge to the unique, physically relevant weak solution of the approximated conservative equation. In particular, entropy satisfying convergence follows for E schemes—those containing more numerical viscosity than Godunov’s scheme.Keywords
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