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Article Dans Une Revue Numerical Algorithms Année : 2009

Automatic computation of Stokes matrices

Résumé

We describe a general procedure for computing Stokes matrices for solutions of linear differential equations with polynomial coefficients. The algorithms developed make an automation of the calculations possible, for a wide class of equations. We apply our techniques to some classical holonomic functions and also for some new special functions that are interesting in their own right: Ecalle's accelerating functions.

Dates et versions

hal-00765592 , version 1 (14-12-2012)

Identifiants

Citer

Frédéric Fauvet, Françoise Richard-Jung, Jean Thomann. Automatic computation of Stokes matrices. Numerical Algorithms, 2009, 50 (2), pp.179-213. ⟨10.1007/s11075-008-9223-6⟩. ⟨hal-00765592⟩
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