ON ENTROPY CONDITIONS OF HIGH RESOLUTION SCHEMES FOR SCALAR CONSERVATION LAWS

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Entropy condition High resolution schemes Conservation laws.
• 年，卷（期）: 2001,（4）
• 页码范围: 371-384
• 页数: 14页
• 分类号: O1
• 语种: 英文

摘要

In this paper a kind of quadratic cell entropy inequalities of second order resolution SOR-TVD schemes is obtained for scalar hyperbolic conservation laws with strictly convex (concave) fluxes, which in turn implies the convergence of the schemes to the physically relevent solution of the problem. The theoretical results obtained in this paper improve the main results of Osher and Tadmor [6].