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CORR
2006
Springer

Fast computation of power series solutions of systems of differential equations

13 years 3 months ago
Fast computation of power series solutions of systems of differential equations
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.
Alin Bostan, Frédéric Chyzak, Fran&c
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where CORR
Authors Alin Bostan, Frédéric Chyzak, François Ollivier, Bruno Salvy, Éric Schost, Alexandre Sedoglavic
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