一类两步方法的延迟依赖稳定性  

Delay-dependent Stability of a Class of Two-step Methods

作　　者：黄乘明[1] 

机构地区：[1]华中科技大学数学系,湖北武汉430074

出　　处：《系统仿真学报》2007年第17期3919-3921,4020,共4页Journal of System Simulation

基　　金：国家自然科学基金(10671078);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资助项目(NCET-05-0638)

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。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.

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 

分 类 号：O241.8[理学—计算数学]