SYMPLECTIC RUNGE-KUTTA METHODS OF HIGH ORDER BASED ON W-TRANSFORMATION

doi:10.11948/2017074

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	SYMPLECTIC RUNGE-KUTTA METHODS OF HIGH ORDER BASED ON W-TRANSFORMATION
	Xia, Kaifeng 1; Cong, Yuhao 1,2; Sun, Geng 3
	2017-08-01
发表期刊	JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
ISSN	2156-907X
卷号	7 期号:3 页码:1185-1199
摘要	In this paper , characterizations of symmetric and symplectic Runge-Kutta methods based on the W-transformation of Hairer and Wanner are presented. Using these characterizations, we construct two families symplectic (symmetric and algebraically stable or algebraically stable) Runge-Kutta methods of high order. Methods constructed in this way and presented in this paper include and extend the known classes of high order implicit Runge-Kutta methods.
关键词	Runge-Kutta method symplectic and algebraically stable method W-transformation
DOI	10.11948/2017074
语种	英语
资助项目	National Natural Science Foundation of China[11471217]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000405793700025
出版者	WILMINGTON SCIENTIFIC PUBLISHER, LLC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26107
专题	中国科学院数学与系统科学研究院
通讯作者	Cong, Yuhao
作者单位	1.Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China 2.Shanghai Univ, Dept Math, Shanghai 200041, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xia, Kaifeng,Cong, Yuhao,Sun, Geng. SYMPLECTIC RUNGE-KUTTA METHODS OF HIGH ORDER BASED ON W-TRANSFORMATION[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,2017,7(3):1185-1199.
APA	Xia, Kaifeng,Cong, Yuhao,&Sun, Geng.(2017).SYMPLECTIC RUNGE-KUTTA METHODS OF HIGH ORDER BASED ON W-TRANSFORMATION.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,7(3),1185-1199.
MLA	Xia, Kaifeng,et al."SYMPLECTIC RUNGE-KUTTA METHODS OF HIGH ORDER BASED ON W-TRANSFORMATION".JOURNAL OF APPLIED ANALYSIS AND COMPUTATION 7.3(2017):1185-1199.