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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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On wavewise entropy inequalities for high-resolution schemes. I: The semidiscrete case
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by Huanan Yang PDF
Math. Comp. 65 (1996), 45-67 Request permission

Abstract:

We develop a new approach, the method of wavewise entropy inequalities for the numerical analysis of hyperbolic conservation laws. The method is based on a new extremum tracking theory and Vol′pert’s theory of BV solutions. The method yields a sharp convergence criterion which is used to prove the convergence of generalized MUSCL schemes and a class of schemes using flux limiters previously discussed in 1984 by Sweby.
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Additional Information
  • Huanan Yang
  • Affiliation: Department of Mathematics Kansas State University Manhattan, Kansas 66506
  • Email: hyang@math.ksu.edu
  • Received by editor(s): December 20, 1993
  • Received by editor(s) in revised form: September 13, 1994, and January 30, 1995
  • © Copyright 1996 American Mathematical Society
  • Journal: Math. Comp. 65 (1996), 45-67
  • MSC (1991): Primary 65M60, 65M12, 35L65
  • DOI: https://doi.org/10.1090/S0025-5718-96-00668-0
  • MathSciNet review: 1320900