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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 PublicationSIAM JOURNAL ON NUMERICAL ANALYSIS
KeywordRunge-kutta Methods Construction
AbstractA 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
ISSN0036-1429
Volume39Issue:6Pages:2164-2178
Subject AreaPhysics
Indexed BySCI
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Cited Times:11[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/13543
Collection理论物理所科研产出_SCI论文
Corresponding AuthorChen, 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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