On the Conservation and Convergence to Weak Solutions of Global Schemes

被引：0

作者：

Mark H. Carpenter

David Gottlieb

Chi-Wang Shu

机构：

[1] Computational Methods and Simulation Branch (CMSB),NASA Langley Research Center

[2] Brown University,Division of Applied Mathematics

[3] Providence,undefined

来源：

Journal of Scientific Computing | 2003年 / 18卷

关键词：

Conservation laws; conservation; weak solutions; convergence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we discuss the issue of conservation and convergence to weak solutions of several global schemes, including the commonly used compact schemes and spectral collocation schemes, for solving hyperbolic conservation laws. It is shown that such schemes, if convergent boundedly almost everywhere, will converge to weak solutions. The results are extensions of the classical Lax–Wendroff theorem concerning conservative schemes.

引用

页码：111 / 132

页数：21

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