On wavewise entropy inequalities for high-resolution schemes. I: The semidiscrete case
Open Access
- 1 January 1996
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 65 (213) , 45-67
- https://doi.org/10.1090/s0025-5718-96-00668-0
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.Keywords
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