On the construction of high order A(α)-stable hybrid linear multistep methods for stiff IVPs in ODEs

摘要

In this paper, we present a class of A(α)-stable hybrid linear multistep methods for numerical solving stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The method considered uses a second derivative like the Enright's second derivative linear multistep methods for stiff IVPs in ODEs.