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题名: Square-conservative schemes for a class of evolution equations using Lie-group methods
作者: Chen, JB ;  Munthe-Kaas, H ;  Qin, MZ
刊名: SIAM JOURNAL ON NUMERICAL ANALYSIS
出版日期: 2002
卷号: 39, 期号:6, 页码:2164-2178
关键词: RUNGE-KUTTA METHODS ;  CONSTRUCTION
学科分类: Physics
通讯作者: Chen, JB , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
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
英文摘要: 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.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000175300100015
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13543
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Chen, JB,Munthe-Kaas, H,Qin, MZ. Square-conservative schemes for a class of evolution equations using Lie-group methods[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,39(6):2164-2178.
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