Integrable discrete systems and numerical integrators

B. Grammaticos and B. Dorizzi

Mathematics and Computers in Simulation (MATCOM), 1994, vol. 37, issue 4, 341-352

Abstract: We present an analysis of various integration schemes which are applied to the numerical integration of, first, a one-dimensional Hamiltonian system and, second, Painlevé 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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:37:y:1994:i:4:p:341-352

DOI: 10.1016/0378-4754(94)00023-9

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