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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Second-order conservative schemes and the entropy condition


Author: Maria E. Schonbek
Journal: Math. Comp. 44 (1985), 31-38
MSC: Primary 65M10; Secondary 35L65
MathSciNet review: 771028
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Abstract | References | Similar Articles | Additional Information

Abstract: We consider numerical approximations to solutions of systems of hyperbolic conservation laws of the form $ \partial u/\partial t + \partial f(u)/\partial x = 0$, $ u \in {{\mathbf{R}}^n}$ and $ f:{R^n} \to {R^n}$ smooth. We show that conservative three-point second-order accurate methods cannot satisfy a local entropy inequality.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1985-0771028-7
PII: S 0025-5718(1985)0771028-7
Article copyright: © Copyright 1985 American Mathematical Society



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