Integrable discrete-time systems and difference operators
β Scribed by A. P. Veselov
- Publisher
- Springer US
- Year
- 1988
- Tongue
- English
- Weight
- 882 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0016-2663
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π SIMILAR VOLUMES
We present an analysis of various integration schemes which are applied to the numerical integration of, first, a one-dimensional Hamiltonian system and, second, Painlevt equations I and II. Both systems are well-known integrable ones. Integrable integrators are best suited for the simulation of int
## Abstract In this article we consider a class of integrable operators and investigate its connections with the following theories: the spectral theory of the nonβselfβadjoint operators, the RiemannβHilbert problem, the canonical differential systems, the random matrices theory and the limit value
Change of independent variable t = 1/x motivates variable step size discretizations of even order differential operators. We develop variable change methods for discrete symplectic (i.e., J-orthogonal) systems. This enables us to perform simultaneous change of independent and dependent variables on