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High order symplectic integrators based on continuous-stage Runge-Kutta-Nystrom methods
Tang, Wensheng1,2; Sun, Yajuan3; Zhang, Jingjing4
2019-11-15
Source PublicationAPPLIED MATHEMATICS AND COMPUTATION
ISSN0096-3003
Volume361Pages:670-679
AbstractOn 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.
KeywordContinuous-stage Runge-Kutta-Nystrom methods Hamiltonian systems Symplectic integrators Legendre polynomial expansion Simplifying assumptions
DOI10.1016/j.amc.2019.06.031
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000474545500054
PublisherELSEVIER SCIENCE INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35171
Collection计算数学与科学工程计算研究所
Corresponding AuthorTang, Wensheng; Sun, Yajuan
Affiliation1.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
Recommended Citation
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.
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