THE PAINVELE PROPERTY.- One century later

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INFORMATION

AUTEUR
Robert Conte
DIMENSION
12,65 MB
NOM DE FICHIER
THE PAINVELE PROPERTY.- One century later.pdf
ISBN
5366986130981

DESCRIPTION

The subject of this volume is explicit integration, that is, the analytical as opposed to the numerical solution, of all kinds of nonlinear differential equations (ordinary differential, partial differential, finite difference). Such equations describe many physical phenomena, and their analytic solutions (particular solutions, first integral, and so forth) are in many cases preferable to numerical computation, which may be long, costly, and, worst, subject to numerical rounding errors. In addition, the analytic approach can provide a global knowledge of the solution, while the numerical approach is always local.Explicit integration uses the powerful methods based on an in-depth study of singularities that were first used by Poincaré and subsequently developed by Painlevé in his famous Leçons de Stockholm of 1895. The recent interest in the subject and in the equations investigated by Painlevé dates back to about thirty years ago, arising from three, apparently disjoint, fields: the Ising model and other models of statistical physics and field theory, propagation of solitons, and dynamical systems.The chapters in this volume, based on courses given at Cargèse, alternate mathematics and physics; they are intended to bring researchers entering the field up to date with current research.

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Contents: 1. Singularities of Ordinary Linear Differential Equations and ... Scopri The Painlevé Property: One Century Later di Robert Conte: spedizione gratuita per i clienti Prime e per ordini a partire da 29€ spediti da Amazon. The Painlevé Property: One Century Later (CRM Series in Mathematical Physics) | Conte, Robert | ISBN: 9780387988887 | Kostenloser Versand für alle Bücher mit Versand und Verkauf duch Amazon. Compre o livro The Painlevé Property: One Century Later na Amazon.com.br: confira as ofertas para livros em inglês e importados Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. [(Compact Semiconductor Lasers: Micro- To Nano-Scale Coherent Light Sources - How Small Can You Go?)] [ Edited By Richard M.

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