Computer Algebra and Differential Equations

Computer Algebra and Differential Equations

by Tournier, Evelyne

Type Book
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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…

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Title Statements

  • Full title :Computer Algebra and Differential Equations / edited by Evelyne Tournier.

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.

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Edition Statements

  • Publication Date:1994.

Publication Statements

Notes

Title from publishers bibliographic system (viewed on 13 Sep 2011).

The Physical Object

  • Description:online resource (viii, 259 s.) : : illustrations

Edition Identifiers

  • ISBN:9780511565816, 051156581X
  • oclc:ocn939077528
  • Dewey Decimal:515/.35

Table of Contents

1. Effective methods in D-modules -- 1.1. Motivations and introduction to the theory of D-modules -- 1.2. D-modules: an overview towards effectivity -- 2. Theoretical aspects in dynamical systems -- 2.1. Introduction to the Ecalle theory -- 2.2. Perturbation analysis of nonlinear systems -- 3. Normal forms -- 3.1. Normal forms of differential systems -- 3.2. Versal normal form computation and representation theory -- 3.3. Painlevé analysis and normal forms -- 3.4. Normal forms and Stokes multipliers of nonlinear meromorphic differential equations.

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