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    Application of a symplectic integrator in a non-integrable relativistic system

    Zdeněk Stuchlík · 01 ledna, 2016 · Fyzika · 0 comments
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    Publication date: Jan 2016

    Abstract:
    We present a detailed comparison of several integration schemes applied
    to the dynamic system consisting of a charged particle on the Kerr
    background endowed with the axisymmetric electromagnetic test field. In
    particular, we compare the performance of the symplectic integrator with
    several non-symplectic routines and discuss under which circumstances we
    should choose the symplectic one and when we should switch to some other
    scheme. We are basically concerned with two crucial, yet opposing
    aspects – accuracy of the integration and CPU time consumption. The
    latter is generally less critical in our application while the highest
    possible accuracy is strongly demanded.

    Authors:
    Kopáček, Ondřej; Karas, Vladimír; Kovář, Jiří; Stuchlík, Zdeněk;

    http://adsabs.harvard.edu/abs/2016arXiv160101262K

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