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Integrable discrete systems and numerical integrators

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  • Grammaticos, B.
  • Dorizzi, B.

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.

Suggested Citation

  • Grammaticos, B. & Dorizzi, B., 1994. "Integrable discrete systems and numerical integrators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 37(4), pages 341-352.
    • Handle: RePEc:eee:matcom:v:37:y:1994:i:4:p:341-352
    DOI: 10.1016/0378-4754(94)00023-9
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    Cited by:

    1. Ramani, A. & Grammaticos, B., 1996. "Discrete Painlevé equations: coalescences, limits and degeneracies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 228(1), pages 160-171.

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