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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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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.
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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