A numerical method for the integration of perturbed linear problems

摘要

The purpose of this paper is the construction of a multistep numerical method to integrate perturbed linear problems based on the expansion of the solution in terms of a family of functions. The method here presented is a generalization of the SMF method for perturbed oscillators. A numerical example is presented showing the advantages of the new method over the general purpose codes and over the SMF method when considering perturbed oscillators with damping.