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Title Computer algebra and differential equations / edited by E. Tournier.

Published Cambridge ; New York : Cambridge University Press, 1994.


Location Call No. Status
 UniM ERC  515.352 COMP    AVAILABLE
Physical description v, 259 pages : illustrations ; 23 cm.
Series London Mathematical Society lecture note series ; 193.
London Mathematical Society lecture note series ; 193.
Bibliography Includes bibliographical references.
Contents 1. Effective methods in D-modules. 1.1. Motivations and introduction to the theory of D-modules / B. Malgrange. 1.2. D-modules: an overview towards effectivity / Ph. Maisonobe -- 2. Theoretical aspects in dynamical systems. 2.1. Introduction to the Ecalle theory / E. Delabaere. 2.2. Perturbation analysis of nonlinear systems / K. R. Meyer -- 3. Normal forms. 3.1. Normal forms of differential systems / J. Della Dora, L. Stolovitch. 3.2. Versal normal form computation and representation theory / J. A. Sanders. 3.3. Painleve analysis and normal forms / L. Brenig and A. Goriely. 3.4. Normal forms and Stokes multipliers of nonlinear meromorphic differential equations / Y. Sibuya.
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 the meeting.
Three main topics are discussed. The first of these is the theory of D-Modules. This offers an excellent way to handle linear systems of partial differential equations effectively. 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 author Tournier, E.
Subject D-modules -- Congresses.
Differentiable dynamical systems -- Congresses.
Normal forms (Mathematics) -- Congresses.
Algebra -- Data processing -- Congresses.
Differential equations -- Congresses.
ISBN 0521447577