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