Computer algebra and differential equations /

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Bibliographic Details
Imprint:	Cambridge ; New York : Cambridge University Press, 1994.
Description:	1 online resource (v, 259 pages) : illustrations.
Language:	English
Series:	London Mathematical Society lecture note series ; 193 London Mathematical Society lecture note series ; 193.
Subject:	D-modules -- Congresses. Differentiable dynamical systems -- Congresses. Normal forms (Mathematics) -- Congresses. Algebra -- Data processing -- Congresses. Differential equations -- Congresses. Algebra -- Data processing. D-modules. Differentiable dynamical systems. Differential equations. Normal forms (Mathematics) Conference papers and proceedings. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11181136

Hidden Bibliographic Details
Other authors / contributors:	Tournier, E.
ISBN:	9781107361942 110736194X 051156581X 9780511565816 9781107366855 1107366852 0521447577 9780511565816 9780521447577
Notes:	Title from PDF title page (viewed on Apr. 9, 2013). Includes bibliographical references.
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.
Other form:	Print version: Computer algebra and differential equations. Cambridge ; New York : Cambridge University Press, 1994

Table of Contents:

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.

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