Square-conservative schemes for a class of evolution equations using Lie-group methods

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	Square-conservative schemes for a class of evolution equations using Lie-group methods
	Chen, JB; Munthe-Kaas, H; Qin, MZ; Chen, JB , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
	2002
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	39 期号:6 页码:2164-2178
摘要	A new method for constructing square-conservative schemes for a class of evolution equations using Lie-group methods is presented. The basic idea is as follows. First, we discretize the space variable appropriately so that the resulting semidiscrete system of equations can be cast into a system of ordinary differential equations evolving on a sphere. Second, we apply Lie-group methods to the semidiscrete system, and then square-conservative schemes can be constructed since the obtained numerical solution evolves on the same sphere. Both exponential and Cayley coordinates are used. Numerical experiments are also reported.
部门归属	Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Univ Bergen, Dept Informat, N-5020 Bergen, Norway; AMMS, Inst Computat Math, Beijing 100080, Peoples R China
关键词	Runge-kutta Methods Construction
学科领域	Physics
URL	查看原文
收录类别	SCI
WOS记录号	WOS:000175300100015
引用统计	被引频次：11[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.itp.ac.cn/handle/311006/13543
专题	理论物理所SCI论文
通讯作者	Chen, JB , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Chen, JB,Munthe-Kaas, H,Qin, MZ,et al. Square-conservative schemes for a class of evolution equations using Lie-group methods[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,39(6):2164-2178.
APA	Chen, JB,Munthe-Kaas, H,Qin, MZ,&Chen, JB , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2002).Square-conservative schemes for a class of evolution equations using Lie-group methods.SIAM JOURNAL ON NUMERICAL ANALYSIS,39(6),2164-2178.
MLA	Chen, JB,et al."Square-conservative schemes for a class of evolution equations using Lie-group methods".SIAM JOURNAL ON NUMERICAL ANALYSIS 39.6(2002):2164-2178.

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