Stability of theta-methods for advanced differential equations with piecewise continuous arguments
文献类型：期刊论文
| 作者 | Song, MH; Yang, ZW; Liu, MZ |
| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 出版日期 | 2005-05-01 |
| 卷号 | 49期号:9-10页码:1295-1301 |
| 关键词 | delay differential equations piecewise continuous arguments asymptotic stability |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2005.02.002 |
| 英文摘要 | This paper deals with the stability analysis of numerical methods for the solution of advanced differential equations with piecewise continuous arguments. We focus on the behaviour of the one-leg theta-method and the linear theta-method in the solution of the equation x'(t) = ax(t) +a(0)x([t]) + a(1)x([t+ 1]), with real a, a(0), a(1) and [.] designates the greatest-integer function. The stability regions of two theta-methods are determined. The conditions under which the analytic stability region is contained in the numerical stability region are obtained and some numerical experiments are given. (c) 2005 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000229954700001 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1083]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, MZ |
| 作者单位 | 1.Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Song, MH,Yang, ZW,Liu, MZ. Stability of theta-methods for advanced differential equations with piecewise continuous arguments[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2005,49(9-10):1295-1301. |
| APA | Song, MH,Yang, ZW,&Liu, MZ.(2005).Stability of theta-methods for advanced differential equations with piecewise continuous arguments.COMPUTERS & MATHEMATICS WITH APPLICATIONS,49(9-10),1295-1301. |
| MLA | Song, MH,et al."Stability of theta-methods for advanced differential equations with piecewise continuous arguments".COMPUTERS & MATHEMATICS WITH APPLICATIONS 49.9-10(2005):1295-1301. |
入库方式： OAI收割
来源：数学与系统科学研究院
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