Second-order conservative schemes and the entropy condition
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- by Maria E. Schonbek PDF
- Math. Comp. 44 (1985), 31-38 Request permission
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.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- 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