Geometric representation for numerical stability region of linear multistep methods  

作　　者：JAFFER S K 刘明珠 

机构地区：[1]Dept. of Mathematics, Harbin Institute of Technology,

出　　处：《Journal of Harbin Institute of Technology(New Series)》2001年第4期375-379,共5页哈尔滨工业大学学报（英文版）

基　　金：theNationalNaturalScienceFoundationofChina(GrantNo .198710 19)

摘　　要：Studies the numerical stability region of linear multistep(LM) methods applied to linear test equation of the form y′(t)=ay(t)+by(t-1), t>0, y(t)=g(t)-1≤t≤0, a,b∈R, proves through delay dependent stability analysis that the intersection of stability regions of the equation and the method is not empty, in addition to approaches to the boundary of the delay differential equation(DDEs) in the limiting case of step size boundary of the stability region of linear multistep methods.Studies the numerical stability region of linear multistep(LM) methods applied to linear test equation of the form y′(t)=ay(t)+by(t-1), t>0, y(t)=g(t)-1≤t≤0, a,b∈R, proves through delay dependent stability analysis that the intersection of stability regions of the equation and the method is not empty, in addition to approaches to the boundary of the delay differential equation(DDEs) in the limiting case of step size boundary of the stability region of linear multistep methods.

关 键 词：linear multistep methods τ(0) stable delay differential equations 

分 类 号：O159[理学—数学]