02619nam a22004218a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002300195082001700218245012700235246005500362260005200417264005200469300005900521336002600580337002600606338003600632490006300668500007300731520099400804650002501798650002701823650001401850700004101864700004201905700004301947700004701990776003502037786001402072830006402086856004702150CR9780511997136UkCbUP20160624102256.0m|||||o||d||||||||cr||||||||||||110110s2011||||enk s ||1 0|eng|d a9780511997136 (ebook) z9780521136587 (paperback) aUkCbUPcUkCbUPerda00aQA431 b.S952 201100a515/.62522200aSymmetries and Integrability of Difference Equations /cEdited by Decio Levi, Peter Olver, Zora Thomova, Pavel Winternitz.3 aSymmetries & Integrability of Difference Equations 1aCambridge :bCambridge University Press,c2011. 1aCambridge :bCambridge University Press,c2011. a1 online resource (360 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 381 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). aDifference 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. 0aDifference equations 0aSymmetry (Mathematics) 0aIntegrals1 aLevi, Decio,eeditor of compilation.1 aOlver, Peter,eeditor of compilation.1 aThomova, Zora,eeditor of compilation.1 aWinternitz, Pavel,eeditor of compilation.08iPrint version: z9780521136587 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 381.40uhttp://dx.doi.org/10.1017/CBO9780511997136