Fast computation of power series solutions of systems of differential equations

Simple item page
dc.creatorBostan, Alin
dc.creatorChyzak, Frédéric
dc.creatorOllivier, François
dc.creatorSalvy, Bruno
dc.creatorSchost, Éric
dc.creatorSedoglavic, Alexandre
dc.date2006-04-25
dc.date.accessioned2026-07-07T09:36:44Z
dc.date.available2026-07-07T09:36:44Z
dc.descriptionWe propose new algorithms for the computation of the first N terms of a vector (resp. a basis) of power series solutions of a linear system of differential equations at an ordinary point, using a number of arithmetic operations which is quasi-linear with respect to N. Similar results are also given in the non-linear case. This extends previous results obtained by Brent and Kung for scalar differential equations of order one and two.
dc.identifierhttps://arxiv.org/abs/cs/0604101
dc.identifierhttp://arxiv.org/abs/cs/0604101
dc.identifierDans 2007 ACM-SIAM Symposium on Discrete Algorithms (2007) 1012--1021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160224
dc.subjectSymbolic Computation
dc.titleFast computation of power series solutions of systems of differential equations
dc.typetext

Files

Collections

arXiv