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| 一类两步方法的延迟依赖稳定性 | |
| 引用本文： | 黄乘明. 一类两步方法的延迟依赖稳定性[J]. 系统仿真学报, 2007, 19(17): 3919-3921,4020 |
| 作者姓名： | 黄乘明 |
| 作者单位： | 华中科技大学数学系,湖北,武汉,430074 |
| 基金项目： | 国家自然科学基金;教育部留学回国人员科研启动基金;新世纪优秀人才支持计划 |
| 摘 要： | 讨论实系数延迟微分方程线性多步法的延迟依赖稳定性。重点致力于解析稳定区域和数值方法稳定区域的比较。对一类含有一个自由参数的两步方法，获得了数值稳定区域包含解析稳定区域的条件。数值试验证实了所获理论结果。 |
| 关 键 词： | 数值分析 延迟微分方程 延迟依赖稳定性 线性多步法 两步方法 |
| 文章编号： | 1004-731X（2007）17-3919-03 |
| 收稿时间： | 2006-07-31 |
| 修稿时间： | 2006-07-312007-01-26 |
Delay-dependent Stability of a Class of Two-step Methods |
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| HUANG Cheng-ming. Delay-dependent Stability of a Class of Two-step Methods[J]. Journal of System Simulation, 2007, 19(17): 3919-3921,4020 | |
| Authors: | HUANG Cheng-ming |
| Affiliation: | Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China |
| Abstract: | This paper is concerned with the study of the delay-dependent stability of linear multistep methods for delay differential equations with real coefficients. The focus is on the comparison between analytical and numerical stability regions. For a class of two-step methods with one parameter, the conditions which guarantee that the analytical stability region is a subset of numerical stability region are obtained. Some numerical examples are given to confirm the theoretical results. |
| Keywords: | numerical analysis delay differential equations delay-dependent stability linear mutistep methods two step methods |
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