The asymptotic stability of multistep multiderivative methods for systems of delay differential equations  

作　　者：Chengming HUANG and Qianshun CHANG Institute of Applied Mathematics, Chinese Academy of Sciences, P. O. Box 2734, Beijing 100080, China 

出　　处：《Communications in Nonlinear Science and Numerical Simulation》2000年第1期24-26,共3页非线性科学与数值模拟通讯（英文版）

基　　金：The project is supported by the National Natural Science FOundation of China !(No.19871070) ;China Postdoctoral Science FOund

摘　　要：This paper deals with the asymptotic stability of multistep multiderivative methods for systems of delay differential equations. In particular, it is shown that A-stability of multistep multiderivative methods for ordinary differential equations is equivalent to P-stability of the induced methods for delay differential equations.This paper deals with the asymptotic stability of multistep multiderivative methods for systems of delay differential equations. In particular, it is shown that A-stability of multistep multiderivative methods for ordinary differential equations is equivalent to P-stability of the induced methods for delay differential equations.

关 键 词：delay differential equation STABILITY multistep multiderivative methods 

分 类 号：O241.8[理学—计算数学]