Second-order conservative schemes and the entropy condition

Author:
Maria E. Schonbek

Journal:
Math. Comp. **44** (1985), 31-38

MSC:
Primary 65M10; Secondary 35L65

DOI:
https://doi.org/10.1090/S0025-5718-1985-0771028-7

MathSciNet review:
771028

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Abstract: We consider numerical approximations to solutions of systems of hyperbolic conservation laws of the form , and smooth. We show that conservative three-point second-order accurate methods cannot satisfy a local entropy inequality.

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DOI:
https://doi.org/10.1090/S0025-5718-1985-0771028-7

Article copyright:
© Copyright 1985
American Mathematical Society