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Integrable discrete systems and numerical integrators

โœ Scribed by B. Grammaticos; B. Dorizzi


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
721 KB
Volume
37
Category
Article
ISSN
0378-4754

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โœฆ Synopsis


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 integrable systems since they allow simulations over long times and the use of moderately large integration steps.


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