Implicit Runge-Kutta methods based on Lobatto quadrature formula

doi:10.1080/0020716042000272566

CSpace

	Implicit Runge-Kutta methods based on Lobatto quadrature formula
	Liu, HY ; Sun, G
	2005
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN	0020-7160
卷号	82 期号:1 页码:77-88
摘要	Using W-transformation of Hairre and Wanner, high-order implicit Runge-Kutta (RK) methods based on Lobatto quadrature are studied. Methods constructed and presented include and extend the existing Lobatto III type RK methods. Two to four stages general Lobatto III methods with three parameters alpha, beta, gamma are constructed, and a particular one-parameter family Lobatto III C(gamma) method is also presented.
关键词	Runge-Kutta method Lobatto quadrature symplectic stiff accuracy A-stability L-stability
DOI	10.1080/0020716042000272566
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000225925400009
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/2256
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, HY
作者单位	1.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, HY,Sun, G. Implicit Runge-Kutta methods based on Lobatto quadrature formula[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2005,82(1):77-88.
APA	Liu, HY,&Sun, G.(2005).Implicit Runge-Kutta methods based on Lobatto quadrature formula.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,82(1),77-88.
MLA	Liu, HY,et al."Implicit Runge-Kutta methods based on Lobatto quadrature formula".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 82.1(2005):77-88.