On Convergence of Minmod-Type Schemes
| Autor: | Bojan Popov, Ognian Trifonov, Sergei Konyagin |
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| Rok vydání: | 2005 |
| Předmět: | |
| Zdroj: | SIAM Journal on Numerical Analysis. 42:1978-1997 |
| ISSN: | 1095-7170 0036-1429 |
| DOI: | 10.1137/s0036142903423861 |
| Popis: | A class of nonoscillatory numerical methods for solving nonlinear scalar conservation laws in one space dimension is considered. This class of methods contains the classical Lax--Friedrichs and the second-order Nessyahu--Tadmor schemes. In the case of linear flux, new l2 stability results and error estimates for the methods are proved. Numerical experiments confirm that these methods are one-sided l2 stable for convex flux instead of the usual Lip+ stability. |
| Databáze: | OpenAIRE |
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