KMS Of Academy of mathematics and systems sciences, CAS
Implicit Runge-Kutta methods based on Radau quadrature formula | |
Ding, Xiaohua1; Tan, Jiabo2 | |
2009 | |
发表期刊 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
ISSN | 0020-7160 |
卷号 | 86期号:8页码:1394-1404 |
摘要 | Using W-transformation of Hairer and Wanner, high-order implicit Runge-Kutta methods based on Radau quadrature are studied. Methods constructed and presented include and extend the existing RadauIA, IB, IIA, IIB type RK methods. 2- and 3-stage general Radau RK methods with two parameters (, ) are constructed. The RK methods with five parameters (, , , , ), which include both Radau and Lobatto type methods, will be discussed at last. |
关键词 | W-transformation symplectic algebraically stable symmetric quadrature formula |
DOI | 10.1080/00207160701870878 |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[10671047] ; HIT[200713] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000273521500010 |
出版者 | TAYLOR & FRANCIS LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/9210 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Ding, Xiaohua |
作者单位 | 1.Harbin Inst Technol Weihai, Dept Math, Weihai, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Ding, Xiaohua,Tan, Jiabo. Implicit Runge-Kutta methods based on Radau quadrature formula[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2009,86(8):1394-1404. |
APA | Ding, Xiaohua,&Tan, Jiabo.(2009).Implicit Runge-Kutta methods based on Radau quadrature formula.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,86(8),1394-1404. |
MLA | Ding, Xiaohua,et al."Implicit Runge-Kutta methods based on Radau quadrature formula".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 86.8(2009):1394-1404. |
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