| タイトル | On the convergence of difference approximations to scalar conservation laws |
| 著者（英） | Osher, Stanley; Tadmor, Eitan |
| 著者所属（英） | Tel-Aviv Univ.|NASA Langley Research Center|California Univ. |
| 発行日 | 1988-01-01 |
| 言語 | eng |
| 内容記述 | A unified treatment is given for time-explicit, two-level, second-order-resolution (SOR), total-variation-diminishing (TVD) approximations to scalar conservation laws. The schemes are assumed only to have conservation form and incremental form. A modified flux and a viscosity coefficient are introduced to obtain results in terms of the latter. The existence of a cell entropy inequality is discussed, and such an equality for all entropies is shown to imply that the scheme is an E scheme on monotone (actually more general) data, hence at most only first-order accurate in general. Convergence for TVD-SOR schemes approximating convex or concave conservation laws is shown by enforcing a single discrete entropy inequality. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 88A25052 |
| 権利 | Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/372613 |
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