@inproceedings{b6499e096895489a97cce9ca3ef84804,
title = "Fast computation of power series solutions of systems of differential equations",
abstract = "We propose algorithms for the computation of the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary point, using a number of arithmetic operations that is quasi-linear with respect to N. Similar results are also given in the nonlinear case. This extends previous results obtained by Brent and Kung for scalar differential equations of order 1 and 2.",
author = "A. Bostan and F. Chyzak and F. Ollivier and B. Salvy and Schost and A. Sedoglavic",
note = "Publisher Copyright: Copyright {\textcopyright} 2007 by the Association for Computing Machinery, Inc. and the Society for Industrial and Applied Mathematics.; 18th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2007 ; Conference date: 07-01-2007 Through 09-01-2007",
year = "2007",
month = jan,
day = "1",
language = "English",
series = "Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms",
publisher = "Association for Computing Machinery",
pages = "1012--1021",
booktitle = "Proceedings of the 18th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2007",
}