Numerical viscosity and the entropy condition for conservative difference schemes
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- by Eitan Tadmor PDF
- Math. Comp. 43 (1984), 369-381 Request permission
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.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Math. Comp. 43 (1984), 369-381
- MSC: Primary 65M05; Secondary 35L65
- DOI: https://doi.org/10.1090/S0025-5718-1984-0758189-X
- MathSciNet review: 758189