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Conference papers
Fast computation of power series solutions of systems of differential equations
Abstract : We 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.
Cited literature [34 references]
https://hal.inria.fr/inria-00001264
Contributor : Frédéric Chyzak Connect in order to contact the contributor
Submitted on : Monday, April 24, 2006 - 10:19:40 PM
Last modification on : Thursday, February 3, 2022 - 11:18:35 AM
Long-term archiving on: : Saturday, April 3, 2010 - 11:15:20 PM
Contributor : Frédéric Chyzak Connect in order to contact the contributor
Submitted on : Monday, April 24, 2006 - 10:19:40 PM
Last modification on : Thursday, February 3, 2022 - 11:18:35 AM
Long-term archiving on: : Saturday, April 3, 2010 - 11:15:20 PM