Numerical integration of perturbed linear systems

Recently, Martin and Ferrandiz modified Scheifele method for the integratio n of perturbed oscillators, converting it into a multistep scheme that cons erves the good properties of Scheifele method while avoiding the preliminar y calculations that it requires. In this article the same modification appl ied to Scheifele method for perturbed linear systems is presented. The prin cipal properties of the multistep methods obtained are studied and some num erical examples are presented to illustrate the behavior of the new methods , (C) 1999 Elsevier Science B.V. and IMACS. All rights reserved.