Computer algebra and differential equations

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 o...

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Bibliographic Details
Other Authors: Tournier, E. (Editor)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 1994
Series:London Mathematical Society lecture note series
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
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245 0 0 |a Computer algebra and differential equations  |c edited by E. Tournier 
246 3 1 |a Computer Algebra & Differential Equations 
260 |a Cambridge  |b Cambridge University Press  |c 1994 
300 |a v, 259 pages  |b digital 
505 0 |a Motivations and introduction to the theory of D-modules / B. Malgrange -- D-modules : an overview towards effectivity / Ph. Maisonobe -- Introduction to the Ecalle theory / E. Delabaere -- Perturbation analysis of nonlinear systems / K.R. Meyer -- Normal forms of differential systems / J. Della Dora, L. Stolovitch -- Versal normal form computation and representation theory / J.A. Sanders -- Painlevé analysis and normal forms / L. Brenig, A. Goriely -- Normal forms and Stokes multipliers of nonlinear meromorphic differential equations / Y. Sibuya 
653 |a D-modules / Congresses 
653 |a Differentiable dynamical systems / Congresses 
653 |a Normal forms (Mathematics) / Congresses 
653 |a Algebra / Data processing / Congresses 
653 |a Differential equations / Congresses 
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490 0 |a London Mathematical Society lecture note series 
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082 0 |a 515.35 
520 |a 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