This volume contains nine refereed research papers in various areas from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme.
Topics covered include irregular connections, rank reduction and summability of solutions 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 interactions between computer algebra, dynamical systems and combinatorics discussed in this volume should be useful for both mathematicians and theoretical physicists who are interested in effective computation.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für Beruf und Forschung
US School Grade: College Graduate Student
Illustrationen
Num. figs. and tabl.
Num. figs. and tabl.
Dateigröße
ISBN-13
978-3-11-020000-3 (9783110200003)
Schweitzer Klassifikation
Frontmatter
Formal computations about multiple zeta values
Algorithmic computation of exponents for linear differential systems
Sur les représentations de solutions formelles d'équations différentielles
Remarques algorithmiques liées au rang d'un opérateur différentiel linéaire
Gevrey normal form of systems of differential equations with a nilpotent linear part
Application of J.-J. Morales and J.-P. Ramis' theorem to the planar three-body problem
On a constructive approach to the solution of dynamical systems
Sur la "solution analytique générale" d'une équation différentielle chaotique
Hybrid Systems
