Computer Algebra and Differential Equations

by Edited by Evelyne Tournier

• ISBN13: 9780521447577
• ISBN10: 0521447577
• Format: Paperback
• Copyright: 1994-03-25
• Publisher: Cambridge University Press

Summary

The Computer Algebra and Differential Equations meeting held in France in June 1992 (CADE-92) was the third of a series of biennial workshops devoted to recent developments in computer algebra systems. This book contains selected papers from that meeting. Three main topics are discussed. The first of these is the theory of D-modules. This offers an excellent way to effectively handle linear systems of partial differential equations. The second topic concerns the theoretical aspects of dynamical systems, with an introduction to Ecalle theory and perturbation analysis applied to differential equations and other nonlinear systems. The final topic is the theory of normal forms. Here recent improvements in the theory and computation of normal forms are discussed.

Table of Contents

1. Motivation and introduction to the theory of D-modules B. Malgrange

2. D-modules, an overview towards effectivity Ph. Maisonobe

3. Introduction to the Ecalle theory E. Delabaere

4. Perturbation analysis of linear systems K. R. Meyer

5. Normal forms of differential systems J. Della Dora and L. Stolovitch

6. Versal normal form computation and representation theory J. A. Sanders

7. Painlevé

analysis and normal forms L. Brenig and A. Goriely

8. Normal forms and Stokes multipliers of nonlinear meromorphic differential equations Y. Sibuya.