Symmetries and Integrability of Difference Equations
Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016
Editors: Levi, Decio, Verge-Rebelo, Raphaël, Winternitz, Pavel (Eds.)
- Offers a comprehensive introduction to the field of symmetries and integrability of difference equations from nine different perspectives
- Presents many examples and exercises to make it easily accessible to researchers new to the field
- Contains up-to-date bibliographies in each chapter for researchers interested in studying the field in greater depth
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- About this book
-
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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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Symmetries and Integrability of Difference Equations
- Book Subtitle
- Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016
- Editors
-
- Decio Levi
- Raphaël Verge-Rebelo
- Pavel Winternitz
- Series Title
- CRM Series in Mathematical Physics
- Copyright
- 2017
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing AG
- eBook ISBN
- 978-3-319-56666-5
- DOI
- 10.1007/978-3-319-56666-5
- Hardcover ISBN
- 978-3-319-56665-8
- Edition Number
- 1
- Number of Pages
- X, 435
- Number of Illustrations and Tables
- 41 b/w illustrations, 26 illustrations in colour
- Topics