Implicit Runge-Kutta methods based on Radau quadrature formula
文献类型:期刊论文
作者 | Ding, Xiaohua1; Tan, Jiabo2 |
刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
![]() |
出版日期 | 2009 |
卷号 | 86期号:8页码:1394-1404 |
关键词 | W-transformation symplectic algebraically stable symmetric quadrature formula |
ISSN号 | 0020-7160 |
DOI | 10.1080/00207160701870878 |
英文摘要 | 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. |
资助项目 | National Natural Science Foundation of China[10671047] ; HIT[200713] |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000273521500010 |
出版者 | TAYLOR & FRANCIS LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9209] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。