THE STABILITY OF LINEAR MULTISTEP METHODS FOR SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS  

作　　者：田红炯 匡蛟勋 

机构地区：[1]Department of Mathematics,Shanghai Normal University,100 Guilin Road,Shanghai 200234,PRC.

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》1995年第1期10-16,共7页

摘　　要：This paper deals with the numerical solution of initial value problems for systems of differential equations with a delay argument. The numerical stability of a linear multistep method is investigated by analysing the solution of the lest equation y’(t)=Ay(t) + By(1-t),where A,B denote constant complex N×N-matrices,and t】0.We investigate carefully the characterization of the stability region.This paper deals with the numerical solution of initial value problems for systems of differential equations with a delay argument. The numerical stability of a linear multistep method is investigated by analysing the solution of the lest equation y'(t)=Ay(t) + By(t-t),where A,B denote constant complex N×N-matrices,and t>0.We investigate carefully the characterization of the stability region.

关 键 词：NUMERICAL stability linear mullistep method DELAY DIFFERENTIAL equation. 

分 类 号：O175[理学—数学]