The relaxing schemes for Hamilton-Jacobi equations

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	The relaxing schemes for Hamilton-Jacobi equations
	Tang, HZ ; Wu, HM
	2001-05-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	19 期号:3 页码:231-240
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.
关键词	the relaxing scheme the relaxing systems Hamilton-Jacobi equation hyperbolic conservation laws
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000169371600002
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16043
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.