SYMMETRIES AND INTEGRABILITY OF DIFFERENCE EQUATIONS by Decio Levi (Editor), Pavel Winternitz (Editor), Raphael Verge-Rebelo (Editor) ( 9783319566658 )

Item Details

Title:

SYMMETRIES AND INTEGRABILITY OF DIFFERENCE EQUATIONS
LECTURE NOTES OF THE ABECEDERIAN SCHOOL OF SIDE 12, MONTREAL 2016

By:

Decio Levi (Editor), Pavel Winternitz (Editor), Raphael Verge-Rebelo (Editor)

Format:

Hardback

List price:	£88.00
We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10:

3319566652

ISBN 13:

9783319566658

Publisher:

SPRINGER INTERNATIONAL PUBLISHING AG

Pub. date:

20 June, 2017

Edition:

1st ed. 2017

Series:

CRM Series in Mathematical Physics

Pages:

435

Synopsis:

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.

Illustrations:

26 Illustrations, color; 41 Illustrations, black and white; X, 435 p. 67

Publication:

Switzerland

Imprint:

Springer International Publishing AG

Returns:

Returnable

Some other items by this author:

BACKLUND AND DARBOUX TRANSFORMATIONS (PB)

CLASSIFICATION AND IDENTIFICATION OF LIE ALGEBRAS (HB)

DIRECT AND INVERSE METHODS IN NONLINEAR EVOLUTION EQUATIONS (HB)