Symmetries and Integrability of Difference Equations (Paperback)

Decio Levi

ISBN 10: 052113658X / ISBN 13: 9780521136587

Published by Cambridge University Press, Cambridge, 2011

About this Item

Paperback. Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations of more basic discrete ones. Moreover, in their study it is very often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference equations. This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference ones. Each of the eleven chapters is a self-contained treatment of a topic, containing introductory material as well as the latest research results. The book will be welcomed by graduate students and researchers seeking an introduction to the field. As a survey of the current state of the art it will also serve as a valuable reference. A comprehensive introduction to the subject suitable for graduate students and researchers. This book is also an up-to-date survey of the current state of the art and thus will serve as a valuable reference for specialists in the field. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9780521136587

Bibliographic Details

• Title: Symmetries and Integrability of Difference Equations (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2011
• Language: English
• ISBN 10: 052113658X
• ISBN 13: 9780521136587
• Binding: Paperback
• Condition: new

About this title

Synopsis

Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations of more basic discrete ones. Moreover, in their study it is very often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference equations. This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference ones. Each of the eleven chapters is a self-contained treatment of a topic, containing introductory material as well as the latest research results. The book will be welcomed by graduate students and researchers seeking an introduction to the field. As a survey of the current state of the art it will also serve as a valuable reference.

About the Authors

Decio Levi is a researcher in the Faculty of Engineering at the Università degli Studi Roma Tre.

Peter Olver is a Professor and currently Head of the School of Mathematics at the University of Minnesota.

Zora Thomova is an Associate Professor of Mathematics at the State University of New York – Institute of Technology.

Pavel Winternitz is a Professor in the Department of Mathematics and Statistics at the Université de Montréal.