RK-Cayley Fehlberg method on homogeneous manifolds

doi:10.1016/j.cnsns.2005.10.007

CSpace

	RK-Cayley Fehlberg method on homogeneous manifolds
	Sun, Jian-Qiang 1,2; Gu, Xiao-Yan 1; Ma, Zhong-Qi 1; Qin Mengzhao 3
	2007-09-01
发表期刊	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN	1007-5704
卷号	12 期号:6 页码:966-975
摘要	A kind of explicit square conservation method to solve Landau-Lifshitz (LL) equation using the Lie group method was proposed. The method has the square conservation property and good accuracy using variable step size to control the error. We apply the method to the Landau-Lifshitz equation. Numerical experiment results show that the method can preserve the property of square conservation of LL equation and have good accuracy. (C) 2005 Elsevier B.V. All rights reserved.
关键词	Landau-Lifshitz equation Square-conservation schemes RK-Cayley Fehlberg method
DOI	10.1016/j.cnsns.2005.10.007
语种	英语
资助项目	National Natural Science Foundation of China[10401033] ; National Natural Science Foundation of China[10475082] ; National Natural Science Foundation of China[10471145] ; Chinese Academy of Science[KZCX1-SW-18]
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000208278300012
出版者	ELSEVIER SCIENCE 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/4205
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Jian-Qiang
作者单位	1.Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 3.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Sun, Jian-Qiang,Gu, Xiao-Yan,Ma, Zhong-Qi,et al. RK-Cayley Fehlberg method on homogeneous manifolds[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2007,12(6):966-975.
APA	Sun, Jian-Qiang,Gu, Xiao-Yan,Ma, Zhong-Qi,&Qin Mengzhao.(2007).RK-Cayley Fehlberg method on homogeneous manifolds.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,12(6),966-975.
MLA	Sun, Jian-Qiang,et al."RK-Cayley Fehlberg method on homogeneous manifolds".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 12.6(2007):966-975.