KMS Of Academy of mathematics and systems sciences, CAS
SYMPLECTIC RUNGE-KUTTA METHODS OF HIGH ORDER BASED ON W-TRANSFORMATION | |
Xia, Kaifeng1; Cong, Yuhao1,2; Sun, Geng3 | |
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. |
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