THE STABILITY OF THE θ-METHODS FOR DELAYDIFFERENTIAL EQUATIONS  

作　　者：Jing-jun Zhao Ming-zhu Liu(Department of mathematics, Harbin Institute of Technology, Harbin 150001, China)Shen-shan Qiu(Department of Computer Science and Engineering, Harbin Institute of Technology, Harbin 150001, China) 

出　　处：《Journal of Computational Mathematics》1999年第4期441-448,共8页计算数学（英文）

摘　　要：This paper deals with the stability analysis of numerical methods for the solution of delay differential equations. We focus on the behaviour of three θ-methodsin the solution of the linear test equation u'(t)-A(t)u(t)+B(t)u( (t)) with (t)and A(t),B(t) continuous matrix functions. The stability regions for the threeθ-methods are determined.1.Introduction1.1.Thethree0-methodsWedealwiththenumericalsolutionoftheinitialvalueproblem:Heref,no!TdenotegivenfunctionswithT(t)5t,whereasu(t)isunknown(fort>to)'Withtheso--calledone--leg0--method,linear0--methodandnew0--method,onecancomputeapproximat...

关 键 词：DELAY DIFFERENTIAL EQUATIONS Numerical solution Stabilityl θ-methods. 

分 类 号：O241[理学—计算数学]