Hidden Bibliographic Details
| Other authors / contributors: | Levi, D. (Decio), editor.
Rebelo, Raphaël, editor.
Winternitz, Pavel, editor.
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| ISBN: | 9783319566665
3319566660
9783319566658
3319566652
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| Digital file characteristics: | text file
PDF
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| Notes: | This volume is based on nine series of lectures presented at the Abecedarian School on Symmetries and Integrability of Difference Equations (ASIDE). The school took place at the Centre de recherches mathématiques, Université de Montréal, June 27-July 1, 2016.
Includes bibliographical references and index.
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| Summary: | 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.
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| Other form: | Printed edition: 9783319566658
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| Standard no.: | 10.1007/978-3-319-56666-5
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