Symmetries and Integrability of Difference Equations

Informationen zum Autor Decio Levi is a researcher in the Faculty of Engineering at the Universit... 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 Universite de Montreal. Klappentext A comprehensive introduction to and survey of the state of the art, suitable for graduate students and researchers alike. Zusammenfassung 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. Inhaltsverzeichnis 1. Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals V. Dorodnitsyn and R. Kozlov; 2. Painlevé 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 Painlevé 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.

Product details

• Authors: Decio Levi, Decio (Universit... Degli Studi Roma Tre) Ol Levi, Decio (Universita Degli Studi Roma Tre) Olve Levi, Decio Olver Levi, LEVI DECIO OLVER PETER THOMOVA
• Assisted by: Decio Levi (Editor), Decio (Universita degli Studi Roma Tre) Levi (Editor), Peter Olver (Editor), Peter (University of Minnesota) Olver (Editor), Zora Thomova (Editor), Pavel Winternitz (Editor), Pavel (Universite de Montreal) Winternitz (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 23.06.2011
• EAN: 9780521136587
• ISBN: 978-0-521-13658-7
• No. of pages: 360
• Series: London Mathematical Society Le; London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Subject: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries