Séminaire du 26 mars 2012 10h30: Thomas
Cluzeau, Université de Limoges.
Computing Closed Form Solutions of Integrable Connections
In this talk, I will present algorithms for computing rational and hyperexponential solutions of linear D-finite partial differential
systems written as integrable connections. In particular, I will show that these types of solutions can be computed recursively by
adapting existing algorithms handling ordinary linear differential systems. The arithmetic complexity of the
algorithms will be discussed. Finally, I will illustrate the result of a Maple implementation (available
at http://www.ensil.unilim.fr/~cluzeau/PDS.html) on some examples.
Virginie Collette
Last modified: Fri Mar 16 16:48:48 CET 2012