Abstract
One step integration methods, using K function evaluations, for the solution of a system of ordinary differential equations dv/ dt= A⋅ v are evaluated. A general expression for a class of methods is found for all positive integers K. This class of methods is proven to maximize the interval on the imaginary axis which is contained in the stability region such that the stability constraint is optimized. It is proven that every method with this optimal stability property has a polynomial M defined by y 1+, Δt = M⋅ v i for which M( iS l )= exp( iS l π/2) where S l = K− l.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have