Symmetries and integrability of difference equations
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...
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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
2011
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| Series: | London Mathematical Society lecture note series
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| Subjects: | |
| Online Access: | |
| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of Contents:
- Lagrangian and Hamiltonian formalism for discrete equations: symmetries and first integrals / V. Dorodnitsyn and R. Kozlov
- Painlevé equations: continuous, discrete and ultradiscrete / B. Grammaticos and A. Ramani
- Definitions and predictions of integrability for difference equations / J. Hietarinta
- Orthogonal polynomials, their recursions, and functional equations / M.E.H. Ismail
- Discrete Painlevé equations and orthogonal polynomials / A. Its
- Generalized Lie symmetries for difference equations / D. Levi and R.I. Yamilov
- Four lectures on discrete systems / S.P. Novikov
- Lectures on moving frames / P.J. Olver
- Lattices of compact semisimple Lie groups / J. Patera
- Lectures on discrete differential geometry / Yu. B Suris
- Symmetry preserving discretization of differential equations and Lie point symmetries of differential-difference equations / P. Winternitz