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  • 1
    Electronic Resource
    Electronic Resource
    Processing Symplectic Methods for Near-Integrable Hamiltonian Systems (2000)
    Springer
    Celestial mechanics and dynamical astronomy 77 (2000), S. 17-36 
    Details
    ISSN: 1572-9478
    Keywords: symplectic integrators ; processing technique ; near-integrable Hamiltonian systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008311025472
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  • 2
    Electronic Resource
    Electronic Resource
    Extrapolation of symplectic Integrators (1999)
    Springer
    Celestial mechanics and dynamical astronomy 75 (1999), S. 149-161 
    Details
    ISSN: 1572-9478
    Keywords: initial value problems ; Hamiltonian systems ; symplectic integrators ; extrapolation technique
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008364504014
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