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2008•International Journal of Modern Physics CRequires access

FOURTH ORDER SYMPLECTIC INTEGRATION WITH REDUCED PHASE ERROR

Hans Van de Vyver

Open publisher page 8 citations

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.

About this research paper

What this paper is about

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.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Symplectic geometry, Symplectic integrator, Mathematics, Hamiltonian (control theory), Hamiltonian system, Algebraic number, Applied mathematics, Order (exchange)

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