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Extrapolation of symplectic Integrators

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Abstract

We build high order numerical methods for solving differential equations by applying extrapolation techniques to a Symplectic Integrator of order 2n. We show that, in general, the qualitative properties are preserved at least up to order 4n+1. This new procedure produces much more efficient methods than those obtained using the Yoshida composition technique.

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, England, e-mail

    S. Blanes

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

    S. Blanes & F. Casas

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

    J. Ros

Authors
  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. Extrapolation of symplectic Integrators. Celestial Mechanics and Dynamical Astronomy 75, 149–161 (1999). https://doi.org/10.1023/A:1008364504014

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