A symmetric product of two optimal third-order force gradient symplectic algorithms | Zendy

Rong Li | Zendy; Xin Wu | Zendy

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A symmetric product of two optimal third-order force gradient symplectic algorithms

Author(s) -

Rong Li,

Xin Wu

Publication year - 2010

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.59.7135

Subject(s) - symplectic geometry , symplectic integrator , order (exchange) , eigenvalues and eigenvectors , product (mathematics) , symplectic matrix , symplectic manifold , symplectic representation , mathematics , physics , mathematical analysis , geometry , quantum mechanics , finance , economics

This paper provides two new fourth-order force gradient symplectic intrgrators,each of which is obtained from a symmetric product of two identied optimal third-order force gradient symplectic algorithms reported in the literature. They are both greatly superior to the fourth-order non-gradient symplectic method of Forest and Ruth in the accuracy of either energy on chaotic perturbed Kepler problems or the energy eigenvalues for one-dimensional Schr&#246,dinger equations. So are they to the known optimalfourth-order force gradient symplectic scheme.

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