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E-raamat: From Combinatorics to Dynamical Systems: Journees De Calcul Formel, Strasbourg, March 22-23, 2002 [De Gruyter e-raamatud]

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Teised raamatud teemal:
This book contains nine refereed research papers in various areas, from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme. Topics covered are irregular connections, summability of solutions and rank reduction of differential systems, asymptotic behaviour of divergent series, integrability of Hamiltonian systems, multiple zeta values, quasi polynomial formalism, Padé approximants related to analytic integrability, hybrid systems. The volume as a whole gives a presentation of productive interactions between ideas stemming from computer algebra and questions arising in dynamical systems or combinatorics. As such, it should be useful for both mathematicians and theoretical physicists who are interested in effective computation.
Preface v
Hommage a Jean Thomann ix
Jean-Pierre Ramis
Formal computations about multiple zeta values
1(16)
Marc Espie
Jean-Christophe Novelli
Georges Racinet
Algorithmic computation of exponents for linear differential systems
17(46)
Eduardo Corel
Sur les representations de solutions formelles d'equations differentielles
63(24)
Jose Luis R. F. Martins
Remarques algorithmiques liees au rang d'un operateur differentiel lineaire
87(44)
Moulay Barkatou
Frederic Chyzak
Michele Loday-Richaud
Gevrey normal form of systems of differential equations with a nilpotent linear part
131(32)
Mireille Canalis-Durand
Application of J.-J. Morales and J.-P. Ramis' theorem to the planar three-body problem
163(16)
Delphine Boucher
Jacques-Arthur Weil
On a constructive approach to the solution of dynamical systems
179(16)
Leon Brenig
Sur la ``solution analytique generale'' d'une equation differentielle chaotique
195(18)
T.-L. Yee
R. Conte
M. Musette
Hybrid Systems
213
Jean Della Dora
Mihaela Mirica-Ruse