]*>","")" /> 解Hamilton-Jacobi方程的无振荡局部加密方法

• 论文 •

### 解Hamilton-Jacobi方程的无振荡局部加密方法

1. 石油大学应用数学系;应用物理与计算数学研究所;应用物理与计算数学研究所 山东 257062 ;北京 100088 ;北京 100088
• 出版日期:2001-03-20 发布日期:2001-03-20

### NON-OSCILLATORY ADAPTIVE LOCAL REFINEMENT METHODS FOR SOLVING HAMILTON-JACOBI EQUATIONS

1. Li Xianggui (Department of Applied Mathematics, University of Petroleum, Shandong 257062) Chen Guangnan Jiang Song (Institute of Applied Physics and Computational Mathematics, Beijing 100088)
• Online:2001-03-20 Published:2001-03-20
In this paper, non-oscillatory numerical schemes with high order of accuracy are presented for solving Hamilton-Jacobi equations on structured meshes; An adaptive local refinement method is developed for local regions where solutions of Hamilton-Jacobi equations varies sharply. Numerical results illustrate that the non-oscillatory schemes are stable and the adaptive local refinement method im- proves the accuracy of numerical solutions and the resolution for discontinuity.
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