Implicit Runge-Kutta methods based on Radau quadrature formula

doi:10.1080/00207160701870878

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	Implicit Runge-Kutta methods based on Radau quadrature formula
	Ding, Xiaohua 1; Tan, Jiabo 2
	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.