Discrete Systems and Integrability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Systems and Integrability write by J. Hietarinta. This book was released on 2016-09. Discrete Systems and Integrability available in PDF, EPUB and Kindle. A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.
Discrete Integrable Systems
Discrete Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Integrable Systems write by Basil Grammaticos. This book was released on 2014-01-15. Discrete Integrable Systems available in PDF, EPUB and Kindle.
The Problem of Integrable Discretization
The Problem of Integrable Discretization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Problem of Integrable Discretization write by Yuri B. Suris. This book was released on 2012-12-06. The Problem of Integrable Discretization available in PDF, EPUB and Kindle. An exploration of the theory of discrete integrable systems, with an emphasis on the following general problem: how to discretize one or several of independent variables in a given integrable system of differential equations, maintaining the integrability property? This question (related in spirit to such a modern branch of numerical analysis as geometric integration) is treated in the book as an immanent part of the theory of integrable systems, also commonly termed as the theory of solitons. Most of the results are only available from recent journal publications, many of them are new. Thus, the book is a kind of encyclopedia on discrete integrable systems. It unifies the features of a research monograph and a handbook. It is supplied with an extensive bibliography and detailed bibliographic remarks at the end of each chapter. Largely self-contained, it will be accessible to graduate and post-graduate students as well as to researchers in the area of integrable dynamical systems.
Discrete Integrable Systems
Discrete Integrable Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete Integrable Systems write by Basil Grammaticos. This book was released on 2004-06-22. Discrete Integrable Systems available in PDF, EPUB and Kindle. This volume consists of a set of ten lectures conceived as both introduction and up-to-date survey on discrete integrable systems. It constitutes a companion book to "Integrability of Nonlinear Systems" (Springer-Verlag, 2004, LNP 638, ISBN 3-540-20630-2). Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.
Symmetries and Integrability of Difference Equations
Symmetries and Integrability of Difference Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetries and Integrability of Difference Equations write by Decio Levi. This book was released on 2017-06-30. Symmetries and Integrability of Difference Equations available in PDF, EPUB and Kindle. 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.
