Implicit Runge-Kutta methods based on Lobatto quadrature formula
文献类型:期刊论文
作者 | Liu, HY; Sun, G |
刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
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出版日期 | 2005 |
卷号 | 82期号:1页码:77-88 |
关键词 | Runge-Kutta method Lobatto quadrature symplectic stiff accuracy A-stability L-stability |
ISSN号 | 0020-7160 |
DOI | 10.1080/0020716042000272566 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000225925400009 |
出版者 | TAYLOR & FRANCIS LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2255] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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