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Fourth Order Symplectic Integration With Reduced Phase Error

Author

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  • HANS VAN DE VYVER

    (Royal Meteorological Institute of Belgium, Avenue Circulaire 3, B-1180 Brussels, Belgium)

Abstract

In this paper we introduce a symplectic explicit RKN method for Hamiltonian systems with periodical solutions. The method has algebraic order four and phase-lag order six at a cost of four function evaluations per step. Numerical experiments show the relevance of the developed algorithm. It is found that the new method is much more efficient than the standard symplectic fourth-order method.

Suggested Citation

  • Hans Van De Vyver, 2008. "Fourth Order Symplectic Integration With Reduced Phase Error," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(08), pages 1257-1268.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:08:n:s0129183108012844
    DOI: 10.1142/S0129183108012844
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