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On Wavewise Entropy Inequalities for High-Resolution Schemes. I: The Semidiscrete Case |
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| Authors: | Huanan Yang |
| Institution: | Department of Mathematics Kansas State University Manhattan, Kansas 66506 |
| 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 Volpert'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: | Conservation law MUSCL schemes schemes using flux limiters entropy condition convergence |
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