FOURTH ORDER SYMPLECTIC INTEGRATION WITH REDUCED PHASE ERROR

Hans van de Vyver ()
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Hans van de Vyver: Royal Meteorological Institute of Belgium, Avenue Circulaire 3, B-1180 Brussels, Belgium

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 08, 1257-1268

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.

Keywords: Runge–Kutta–Nyström methods; oscillating solutions; phase-lag analysis; Hamiltonian systems; symplectic integration; 02.60.Lj; 02.30.Hq; 45.10.b (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:19:y:2008:i:08:n:s0129183108012844

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DOI: 10.1142/S0129183108012844

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