THE STABILITY ANALYSIS OF THE θ-METHODS FOR DELAY DIFFERENTIAL EQUMIONS  

作　　者：H.J.Tian J-X.Kuang(Department of Mathematics, Shanghai Normal University, Shanghai, China) 

出　　处：《Journal of Computational Mathematics》1996年第3期203-212,共10页计算数学（英文）

摘　　要：This paper deals with the stability analysis of θ-methods for the numericalsolution of delny dmerential equations (DDEs). We focus on the behavioux of suchmethods in the solution of the linear test equation y'(t) = a(t)y(t) + b(t)y(t - T),where T > o, a(t) and b(t) are functions from R to C. It is proved that the linearθ-method and the one-leg θ-method are TGP-stable if and only if θ = 1.This paper deals with the stability analysis of θ-methods for the numericalsolution of delny dmerential equations (DDEs). We focus on the behavioux of suchmethods in the solution of the linear test equation y'(t) = a(t)y(t) + b(t)y(t - T),where T > o, a(t) and b(t) are functions from R to C. It is proved that the linearθ-method and the one-leg θ-method are TGP-stable if and only if θ = 1.

关 键 词：METHODS FOR DELAY DIFFERENTIAL EQUMIONS THE STABILITY ANALYSIS OF THE MATH 

分 类 号：O241[理学—计算数学]