ISBN: 9780521596992

[ED: Taschenbuch], [PU: Cambridge University Press], There has in recent years been a remarkable growth of interest in the area of discrete integrable systems. Much progress has been made… More...

[ED: Taschenbuch], [PU: Cambridge University Press], There has in recent years been a remarkable growth of interest in the area of discrete integrable systems. Much progress has been made by applying symmetry groups to the study of differential equations, and connections have been made to other topics such as numerical methods, cellular automata and mathematical physics. This volume comprises state of the art articles from almost all the leading workers in this important and rapidly developing area, making it a necessary resource for all researchers interested in discrete integrable systems or related subjects. Table of contents: Part I. Partial Differential Equations: 1. Discrete linearisable Gambier equations A. K. Common, E. Hesameddini and M. Musette 2. Generalized Bäcklund transformation and new explicit solutions of the two-dimensional Toda equation X.-B. Hu and P. Clarkson 3. Different aspects of relativistic Toda Chain S. Kharchev, A. Mironov, A. Zhedanov Part II. Integrable Mappings: 4. Integrable symplectic maps A. Fordy 5. An iterative process on quartics and integrable symplectic maps J. P. Francoise, and O. Ragnisco 6. Integrable mappings of KdV type and hyperelliptic addition theorems F. Nijhoff and V. Z. Enolskii 7. R-matrix hierarchies, integrable lattice systems and their integrable discretizations Y. Suris Part III. Discrete Geometry: 8. Discrete conformal maps and surfaces A. Bobenko 9. The Bäcklund transformation for discrete isothermic surfaces J. Cieslinski 10. Integrable discrete geometry with ruler and compass A. Doliwa 11. Self-dual Einstein spaces and a discrete Tzitzeica equation. A permutability theorem link W. K. Schief Part IV. Asymptotic Analysis: 12. New solutions of the non-stationary Schrödinger and Kadomtsev-Petviashvili equation M. Ablowitz 13. On asymptotic analysis of the orthogonal polynomials via the Riemann-Hilbert method P. Bleher and A. Its 14. A new spectral transform for solving the continuous and spatially discrete heat equation on simple trees P. C. Bressloff and A. Fokas Part V. Discrete Painlevé Equations: 15. The discrete Painlevé hierarchy C. Cresswell and N. Joshi 16. Rational solutions to d-PIV J. Hietarinta and K. Kajiwara 17. The discrete Painlevé II equation and the classical special functions K. Kajiwara 18. Freud's equations for orthogonal polynomials as discrete Painlevé equations A. Magnus Part VI. Symmetries of Difference Equations: 19. An approach to master symmetries of lattice equations B. Fuchssteiner and W. X. Ma 20. Symmetries and generalized symmetries for discrete dynamical systems D. Levi 21. Nonlinear difference equations with superposition formulas P. Winternitz Part VII. Numerical Methods and Miscellaneous: 22. Generalising the Painlevé truncation: expansions in Riccati pseudopotentials A. Fordy and A. Pickering 23. Symplectic Runge-Kutta schemes W. Oevel Part VIII. Cellular Automata: 24. Soliton cellular automata C. Gilson 25. Painlevé equations and cellular automata B. Grammaticos and A. Ramani 26. 2+1 Dimensional soliton cellular automaton S. Moriwaki, A. Nagaki, J. Satsuma, T. Tokihiro, M. Torii, D. Takahashi and J. Matsukidaira Part IX. q-Special Functions and q-Difference Equations: 27. Fourier-Gauss transforms of q-exponential and q-Bessel functions N. Atakishiyev 28. The Wilson bispectral involution: some elementary examples F. A. Grünbaum and L. Haine 29. Factorisation of Macdonald polynomials V. B. Kuztensov and E. K. Skylanin 30. Local Yang-Baxter relations associated with Hirota's discrete equation R. Kashaev 31. Ultra-discrete soliton systems J. Satsuma 32. Schrödinger equation on quantum homogeneous spaces F. Bonechi, R. Giachetti, E. Sorace, M. Tarlini 33. Some algebraic solutions of discrete equations from anticommuting variables C. Viallet 34. Q-combinatorics and quantum integrability A. Volkov. In recent years there has been a remarkable growth of interest in discrete integrable systems. Connections have been made with other topics such as numerical methods, cellular automata and mathematical physics. This volume comprises state-of-the-art articles from almost all the leading workers in this important and rapidly developing area. This volume comprises state-of-the-art articles in discrete integrable systems. 440 pages Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)<

2005, ISBN: 0521596998

Kartoniert / Broschiert MATHEMATICS / Discrete Mathematics, mit Schutzumschlag 11, [PU:Cambridge University Press]

1999, ISBN: 9780521596992

Buch, Softcover, [PU: Cambridge University Press], Cambridge University Press, 1999

1999, ISBN: 9780521596992

Softcover, Buch, [PU: Cambridge University Press]