The relaxing schemes for Hamilton-Jacobi equations
文献类型：期刊论文
| 作者 | Tang, HZ; Wu, HM |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2001-05-01 |
| 卷号 | 19期号:3页码:231-240 |
| 关键词 | the relaxing scheme the relaxing systems Hamilton-Jacobi equation hyperbolic conservation laws |
| ISSN号 | 0254-9409 |
| 英文摘要 | Hamilton-Jacobi equation appears frequently in applications, e.g., in differential games and control theory, and is closely related to hyperbolic conservation laws[3, 4, 12]. This is helpful in the design of difference approximations for Hamilton-Jacobi equation and hyperbolic conservation laws. In this paper we present the relaxing system for Hamilton-Jacobi equations in arbitrary space dimensions, and high resolution relaxing schemes for Hamilton-Jacobi equation, based on using the local relaxation approximation. The schemes are numerically tested on a variety of 1D and 2D problems, including a problem related to optimal control problem. High-order accuracy in smooth regions, good resolution of discontinuities, and convergence to viscosity solutions are observed. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000169371600002 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16042]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tang, HZ,Wu, HM. The relaxing schemes for Hamilton-Jacobi equations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2001,19(3):231-240. |
| APA | Tang, HZ,&Wu, HM.(2001).The relaxing schemes for Hamilton-Jacobi equations.JOURNAL OF COMPUTATIONAL MATHEMATICS,19(3),231-240. |
| MLA | Tang, HZ,et al."The relaxing schemes for Hamilton-Jacobi equations".JOURNAL OF COMPUTATIONAL MATHEMATICS 19.3(2001):231-240. |
入库方式： OAI收割
来源：数学与系统科学研究院
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