Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays
文献类型：期刊论文
| 作者 | Gan, SQ; Sun, G; Zheng, W |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2002-10-01 |
| 卷号 | 44期号:8-9页码:1157-1173 |
| 关键词 | singular perturbation problems delays interpolation linear multistep methods Runge-Kutta methods error analysis |
| ISSN号 | 0898-1221 |
| 英文摘要 | This paper is concerned with the error analysis of linear multistep methods and Runge-Kutta methods applied to some classes of one-parameter stiff singularly perturbed problems with delays. We derive the global error estimates of A(alpha)-stable linear multistep methods and algebraically and diagonally stable Runge-Kutta methods with Lagrange interpolation procedure. Numerical experiments confirm our theoretical analysis. (C) 2002 Elsevier Science Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000178900700015 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17854]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gan, SQ |
| 作者单位 | 1.Tsing Hua Univ, Dept Comp Sci & Technol, Beijing 100084, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gan, SQ,Sun, G,Zheng, W. Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2002,44(8-9):1157-1173. |
| APA | Gan, SQ,Sun, G,&Zheng, W.(2002).Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays.COMPUTERS & MATHEMATICS WITH APPLICATIONS,44(8-9),1157-1173. |
| MLA | Gan, SQ,et al."Errors of linear multistep methods and Runge-Kutta methods for singular perturbation problems with delays".COMPUTERS & MATHEMATICS WITH APPLICATIONS 44.8-9(2002):1157-1173. |
入库方式： OAI收割
来源：数学与系统科学研究院
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