FOURTH ORDER SYMPLECTIC INTEGRATION WITH REDUCED PHASE ERROR
- 1 August 2008
- journal article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics C
- Vol. 19 (8) , 1257-1268
- https://doi.org/10.1142/s0129183108012844
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
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