Computer Algebra and Differential Equations - E. Tournier

Computer Algebra and Differential Equations - E. Tournier

Contents
1 Effective methods in g)-modules.
1.1 Motivations and introduction to the theory of D-
modules. (B. Malgran󿼊e).
1.2 7)-modules: an overview :t6wads effectivity. (Ph.
Maisonobe).
2 Theoretical aspects in dynamical systems.
2.1 Introduction to the Ecalle theory (E. Delabaere).
2.2 Perturbation analysis of nonlinear systems (K. R.
Mey).
3 Normal forras.
3.1 Normal forms of differential systems. (J. Della
Dora, L. Stolovitch).
3.2 Versal normal form computation and representa-
tion theory (J. A. Sanders).
3.3 Painlevd analysis and normal forms (L. Breni󿼊, A.
Goriely).
3.4 Normal forms and Stokes multipliers of nonlinear
meromorphic differential equations (Y. Sibuya).

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