Computer algebra and differential equations

Computer algebra and differential equations

by Tournier, E.

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 E. 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 publisher's bibliographic system (viewed on 05 Oct 2015).

The Physical Object

  • Description:1 online resource (v, 259 Seiten)

Edition Identifiers

  • ISBN:9780511565816, 051156581X, 9780521447577, 0521447577, 9781107366855, 1107366852
  • DOI:10.1017/CBO9780511565816
  • oclc:ocn967679478
  • LC Classification:QA614.3
  • Dewey Decimal:515/.35

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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Subjects

Algebra -- Congresses. -- Data processi… Algebra -- Data processing Algèbre -- Congrès. -- Informatique Conference papers and proceedings D-modules D-modules -- Congrès D-modules -- Congresses Differentiable dynamical systems Differentiable dynamical systems -- Con… Differential equations Differential equations -- Congresses Dynamique différentiable -- Congrès Équations différentielles -- Congrès Formes normales (Mathématiques) -- Cong… Konferenzschrift Normal forms (Mathematics) Normal forms (Mathematics) -- Congresses

Writers

Tournier, E.

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