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Symmetries and Integrability of Difference Equations (London Mathematical Society Lecture Note Series, Series Number 381) - Softcover
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.
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Book Description
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.
About the Author
Decio Levi is a researcher in the Faculty of Engineering at the Universit... degli Studi Roma Tre.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2011
- ISBN 10 052113658X
- ISBN 13 9780521136587
- BindingPaperback
- LanguageEnglish
- Number of pages360
- EditorLevi Decio, Olver Peter, Thomova Zora, Winternitz Pavel
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Symmetries and Integrability of Difference Equations (London Mathematical Society Lecture Note Series, Series Number 381)
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Symmetries and Integrability of Difference Equations (Paperback)
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Paperback. Condition: new. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521136587
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Symmetries and Integrability of Difference Equations
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Symmetries and Integrability of Difference Equations (London Mathematical Society Lecture Note Series, Series Number 381)
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