Dissipativity of Runge-Kutta methods for dynamical systems with delays
文献类型：期刊论文
| 作者 | Huang, CM |
| 刊名 | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| 出版日期 | 2000 |
| 卷号 | 20期号:1页码:153-166 |
| 关键词 | dynamical systems delays Runge-Kutta methods dissipativity |
| ISSN号 | 0272-4979 |
| 英文摘要 | This paper is concerned with the numerical solution of dissipative initial value problems with delays by Runge-Kutta methods. A sufficient condition for the dissipativity of the systems is given. The concepts of D(l)-dissipativity and GD(l)-dissipativity are introduced. We investigate the dissipativity properties of (k, l)-algebraically stable Runge-Kutta methods with piecewise constant or linear interpolation procedures for finite-dimensional and infinite-dimensional dynamical systems with delays. |
| 语种 | 英语 |
| WOS记录号 | WOS:000085067600008 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14948]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huang, CM |
| 作者单位 | Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, CM. Dissipativity of Runge-Kutta methods for dynamical systems with delays[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2000,20(1):153-166. |
| APA | Huang, CM.(2000).Dissipativity of Runge-Kutta methods for dynamical systems with delays.IMA JOURNAL OF NUMERICAL ANALYSIS,20(1),153-166. |
| MLA | Huang, CM."Dissipativity of Runge-Kutta methods for dynamical systems with delays".IMA JOURNAL OF NUMERICAL ANALYSIS 20.1(2000):153-166. |
入库方式： OAI收割
来源：数学与系统科学研究院
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