document: A variable-stepsize variable-order multistep method for the integration of perturbed linear problems G. Scheifele -LRB- 1971 -RRB- wrote the solution of a perturbed oscillator as an expansion in terms of a new set of functions , which extends the monomials in the Taylor series of the solution . Recently , P. Martin and J.M. Ferrandiz -LRB- 1997 -RRB- constructed a multistep code based on the Scheifele technique , and it was generalized by D.J. Lopez and P. Martin -LRB- 1998 -RRB- for perturbed linear problems . However , the remarked codes are constant steplength methods , and efficient integrators must be able to change the steplength . In this paper we extend the ideas of F.T. Krogh -LRB- 1974 -RRB- from Adams methods to the algorithm proposed by Lopez and Martin , and we show the advantages of the new code in perturbed problems
doc_bio_tags: O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O B O O B I O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: perturbed oscillator monomials taylor series multistep code constant steplength methods adams methods
abstractive_keyphrases: variable-stepsize variable-order multistep method perturbed linear problems integration