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008 111006s2011    enk      b    000 0 eng d
020   $a9780521136587 (pbk.)
035   $ab14011256-39ule_inst
040   $aDip.to Fisica$beng
082 00$a515/.625$222
084   $aLC QA431
084   $a510.34
245 00$aSymmetries and integrability of difference equations /$cedited by Decio Levi ... [et al.].
260   $aCambridge ;$aNew York :$bCambridge University Press,$c2011
300   $axviii, 341 p. :$bill. ;$c23 cm
440  0$aLondon Mathematical Society lecture note series,$x0076-0552 ;$v381
504   $aIncludes bibliographical references.
505 8 $aMachine generated contents note: 1. Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals V. Dorodnitsyn and R. Kozlov; 2. Painleve; equations: continuous, discrete and ultradiscrete B. Grammaticos and A. Ramani; 3. Definitions and predictions of integrability for difference equations J. Hietarinta; 4. Orthogonal polynomials, their recursions, and functional equations M. E. H. Ismail; 5. Discrete Painleve; equations and orthogonal polynomials A. Its; 6. Generalized Lie symmetries for difference equations D. Levi and R. I. Yamilov; 7. Four lectures on discrete systems S. P. Novikov; 8. Lectures on moving frames P. J. Olver; 9. Lattices of compact semisimple Lie groups J. Patera; 10. Lectures on discrete differential geometry Yu. B Suris; 11. Symmetry preserving discretization of differential equations and Lie point symmetries of differential-difference equations P. Winternitz.
520   $a"Difference equations are playing an increasingly important role in the natural sciences. Indeed many phenomena are inherently discrete and are naturally described by difference equations. Phenomena described by differential equations are therefore approximations of more basic discrete ones. Moreover, in their study it is very often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference equations. This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference ones. Each of the eleven chapters is a self-contained treatment of a topic, containing introductory material as well as the latest research results. The book will be welcomed by graduate students and researchers seeking an introduction to the field. As a survey of the current state of the art it will also serve as a valuable reference"
650  0$aDifference equations
650  0$aSymmetry (Mathematics)
650  0$aIntegrals
700 1 $aLevi, Decio
907   $a.b14011256$b28-01-14$c06-10-11
912   $a991001417439707536
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996   $aSymmetries and integrability of difference equations$9242391
997   $aUNISALENTO
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