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

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	Chen, JB; Munthe-Kaas, H; Qin, MZ; Chen, JB , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
	Square-conservative schemes for a class of evolution equations using Lie-group methods
Source Publication	SIAM JOURNAL ON NUMERICAL ANALYSIS
Keyword	Runge-kutta Methods Construction
Abstract	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.
	2002
ISSN	0036-1429
Volume	39 Issue:6 Pages:2164-2178
Subject Area	Physics
Indexed By	SCI
Citation statistics	Cited Times:11[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	http://ir.itp.ac.cn/handle/311006/13543
Collection	理论物理所科研产出_SCI论文
Corresponding Author	Chen, JB , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Recommended Citation 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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