Symmetries and Integrability of Difference Equations (Paperback)

Decio Levi

ISBN 10: 052113658X / ISBN 13: 9780521136587

Editore: Cambridge University Press, Cambridge, 2011

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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 our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Codice articolo 9780521136587

Dati bibliografici

• Titolo: Symmetries and Integrability of Difference Equations (Paperback)
• Editore: Cambridge University Press, Cambridge
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 052113658X
• ISBN 13: 9780521136587
• Rilegatura: Paperback
• Condizione: new

Descrizione articolo

Riassunto

A comprehensive introduction to and survey of the state of the art, suitable for graduate students and researchers alike.

Informazioni sugli autori

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.