Open AccessA symmetric product of two optimal third-order force gradient symplectic algorithms
Author(s) -
Rong Li,
Xiaoxia Wu
Publication year - 2010
Publication title -
wuli xuebao
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 Schrö,dinger equations. So are they to the known optimalfourth-order force gradient symplectic scheme.