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Processing Symplectic Methods for Near-Integrable Hamiltonian Systems

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Abstract

Processing techniques are used to approximate the exact flow of near-integrable Hamiltonian systems depending on a small perturbation parameter. We study the reduction of the number of conditions for the kernel for this type of Hamiltonians and we build third, fourth and fifth order methods which are shown to be more efficient than previous algorithms for the same class of problems.

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Authors and Affiliations

  1. Departament de Matemàtiques, Universitat Jaume I, 12071-, Castellón, Spain

    S. Blanes

  2. Departament de Matemàtiques, Universitat Jaume I, 12071-, Castellón, Spain

    F. Casas

  3. Departament de Física Teòrica and IFIC, Universitat de València, 46100-, Burjassot, Valencia, Spain

    J. Ros

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  1. S. Blanes
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  2. F. Casas
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  3. J. Ros
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Blanes, S., Casas, F. & Ros, J. Processing Symplectic Methods for Near-Integrable Hamiltonian Systems. Celestial Mechanics and Dynamical Astronomy 77, 17–36 (2000). https://doi.org/10.1023/A:1008311025472

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