Symmetries and Integrability of Difference Equations

Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science, Physics, Mathematical Physics
Cover of the book Symmetries and Integrability of Difference Equations by , Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9783319566665
Publisher: Springer International Publishing Publication: June 30, 2017
Imprint: Springer Language: English
Author:
ISBN: 9783319566665
Publisher: Springer International Publishing
Publication: June 30, 2017
Imprint: Springer
Language: English

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. 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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. 

More books from Springer International Publishing

Cover of the book New Solutions for the Space Debris Problem by
Cover of the book Practical Manual of Tricuspid Valve Diseases by
Cover of the book Motion Control of Underactuated Mechanical Systems by
Cover of the book Relativistic Electron Mirrors by
Cover of the book Heat Transfer of Laminar Mixed Convection of Liquid by
Cover of the book Making a Case for Stricter Abortion Laws by
Cover of the book Manufacturing Integrated Design by
Cover of the book Intelligent Data Engineering and Automated Learning – IDEAL 2016 by
Cover of the book Macroscopic Metaphysics by
Cover of the book Illegal Entrepreneurship, Organized Crime and Social Control by
Cover of the book The Influence of Chemistry on New Foods and Traditional Products by
Cover of the book Murder on the Einstein Express and Other Stories by
Cover of the book The Problem of Catalan by
Cover of the book The End of Poverty by
Cover of the book Gold Clusters, Colloids and Nanoparticles I by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy