Numerical integration of perturbed linear systems Original Research Article

Recently, Martı́n and Ferrándiz modified Scheifele method for the integration of perturbed oscillators, converting it into a multistep scheme that conserves the good properties of Scheifele method while avoiding the preliminary calculations that it requires. In this article the same modification applied to Scheifele method for perturbed linear systems is presented. The principal properties of the multistep methods obtained are studied and some numerical examples are presented to illustrate the behavior of the new methods.