Symmetries integrability difference equations (70 Ergebnisse)

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Zustand: New. A comprehensive introduction to and survey of the state of the art, suitable for graduate students and researchers alike. Editor(s): Levi, Decio; Olver, Peter; Thomova, Zora; Winternitz, Pavel. Series: London Mathematical Society Lecture Note Series. Num Pages: 360 pages, 40 b/w illus. BIC Classification: PBKJ; PBW; PH; PHU. Category: (P) Professional & Vocational. Dimension: 229 x 159 x 18. Weight in Grams: 508. . 2011. Revised ed. paperback. . . . . …

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Zustand: New. A comprehensive introduction to and survey of the state of the art, suitable for graduate students and researchers alike. Editor(s): Levi, Decio; Olver, Peter; Thomova, Zora; Winternitz, Pavel. Series: London Mathematical Society Lecture Note Series. Num Pages: 360 pages, 40 b/w illus. BIC Classification: PBKJ; PBW; PH; PHU. Category: (P) Professional & Vocational. Dimension: 229 x 159 x 18. Weight in Grams: 508. . 2011. Revised ed. paperback. . . . . Books ship from the US and Ireland. …

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations of more basic discrete ones. Moreover, in their study it is very often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference equations. This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference ones. Each of the eleven chapters is a self-contained treatment of a topic, containing introductory material as well as the latest research results. The book will be welcomed by graduate students and researchers seeking an introduction to the field. As a survey of the current state of the art it will also serve as a valuable reference.…

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Paperback. Zustand: New. This book is devoted to a topic that has undergone rapid and fruitful development over the last few years: symmetries and integrability of difference equations and $q$-difference equations and the theory of special functions that occur as solutions of such equations. Techniques that have been traditionally applied to solve linear and nonlinear differential equations are now being successfully adapted and applied to discrete equations.This volume is based on contributions made by leading experts in the field during the workshop on Symmetries and Integrability of Difference Equations held in Esterel, Quebec, in May 1994. Giving an up-to-date review of the current status of the field, the book treats these specific topics: Lie group and quantum group symmetries of difference and $q$-difference equations, integrable and nonintegrable discretizations of continuous integrable systems, integrability of difference equations, discrete Painleve property and singularity confinement, integrable mappings, applications in statistical mechanics and field theories, Yang-Baxter equations, $q$-special functions and discrete polynomials, and $q$-difference integrable systems. …

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. Indeed, many phenomena are inherently discrete and thus naturally described by difference equations.More fundamentally, in subatomic physics, space-time may actually be discrete. Differential equations would then just be approximations of more basic discrete ones. Moreover, when using differential equations to analyze continuous processes, it is often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference ones.Each of the nine peer-reviewed chapters in this volume serves as a self-contained treatment of a topic, containing introductory material as well as the latest research results and exercises. Each chapter is presented by one or more early career researchers in the specific field of their expertise and, in turn, written for early career researchers. As a survey of the current state of the art, this book will serve as a valuable reference and is particularly well suited as an introduction to the field of symmetries and integrability of difference equations. Therefore, the book will be welcomed by advanced undergraduate and graduate students as well as by more advanced researchers.…