High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods

doi:10.1016/j.amc.2019.06.031

	High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods
	Tang, Wensheng 1,2; Sun, Yajuan3 ; Zhang, Jingjing 4
	2019-11-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	361 页码:670-679
摘要	On the basis of the previous work by Tang and Zhang [37], in this paper we present a more effective way to construct high-order symplectic integrators for solving second order Hamiltonian equations. Instead of analyzing order conditions step by step as shown in the previous work, the new technique of this paper is using Legendre expansions to deal with the simplifying assumptions for order conditions. With the new technique, high-order symplectic integrators can be conveniently devised by truncating an orthogonal series. (C) 2019 Elsevier Inc. All rights reserved.
关键词	Continuous-stage Runge-Kutta-Nystrom methods Hamiltonian systems Symplectic integrators Legendre polynomial expansion Simplifying assumptions
DOI	10.1016/j.amc.2019.06.031
语种	英语
资助项目	National Natural Science Foundation of China[11401055] ; China Scholarship Council[201708430066] ; Scientific Research Fund of Hunan Provincial Education Department[15C0028] ; Foundation of the NNSFC[11271357] ; Foundation of the NNSFC[11201125] ; Foundation of the NNSFC[11761033] ; Foundation for Innovative Research Groups of the NNSFC[11321061] ; ITER-China Program[2014GB124005] ; PhD scientific research foundation of East China Jiaotong University
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000474545500054
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35171
专题	计算数学与科学工程计算研究所
通讯作者	Tang, Wensheng; Sun, Yajuan
作者单位	1.Changsha Univ Sci & Technol, Coll Math & Stat, Changsha 410114, Hunan, Peoples R China 2.Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 4.East China Jiaotong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
推荐引用方式 GB/T 7714	Tang, Wensheng,Sun, Yajuan,Zhang, Jingjing. High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods[J]. APPLIED MATHEMATICS AND COMPUTATION,2019,361:670-679.
APA	Tang, Wensheng,Sun, Yajuan,&Zhang, Jingjing.(2019).High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods.APPLIED MATHEMATICS AND COMPUTATION,361,670-679.
MLA	Tang, Wensheng,et al."High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods".APPLIED MATHEMATICS AND COMPUTATION 361(2019):670-679.