中图分类法:
O175-53 版次:
题名:
Symmetries and integrability of difference equations / / ,
出版发行:
出版地: Cambridge ; 出版社: Cambridge University Press, 出版日期: 2011.
载体形态:
xviii, 341 p. : ill. ; 23 cm.
附注:
"This book in based upon lectures delivered during the Summer School on Symmetrics and Integrability of Difference Equantions at the University of Montreal. Canada, June 8, 2008-Jun3 21, 2008."--Pref.
附注:
Machine 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.
内容提要:
"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