Linear stability of numerical methods for systems of functional differential equations with a proportional delay  

作　　者：HUANGChengming GANSiqing 

机构地区：[1]DepartmentofMathematics,HuazhongUniversityofScienceandTechnology,Wuhan430074,China [2]DepartmentofComputerScienceandTechnology,TsinghuaUniversity,Beijiog100084,China

出　　处：《Progress in Natural Science:Materials International》2003年第5期329-333,共5页自然科学进展·国际材料（英文版）

基　　金：the National Natural Science Foundation of China (Grant No.10101027); China Postdoctoral Science Foundation

摘　　要：The numerical solution of functional differential equations with a proportional delay is considered. The stability of general linear methods for linear systems of neutral type is investigated. It is shown that a general linear method with strict stability at infinity can preserve the asymptotic stability of the underlying system if we employ an appropriate equi-stage interpolation to approximate the delay argument.The numerical solution of functional differential equations with a proportional delay is considered. The stability of general linear methods for linear systems of neutral type is investigated. It is shown that a general linear method with strict stability at infinity can preserve the asymptotic stability of the underlying system if we employ an appropriate equi-stage interpolation to approximate the delay argument.

关 键 词：functional differential equation proportional delay asymptotic stability general linear methods. 

分 类 号：O175.1[理学—数学] O177[理学—基础数学]