| Volume 2, Number 2, 2012, Pages 161-171 DOI：10.11948/2012012 |
| A CLASS OF EXPLICIT RATIONAL SYMPLECTIC INTEGRATORS |
| Yonglei Fang,Qinghong Li |
| Keywords:Oscillatory Hamiltonian problems |
| Abstract: |
| In this paper, a class of rational explicit symplectic integrators for one-dimensional oscillatory Hamiltonian problems are presented. These methods are zero-dissipative, and of first algebraic order and high phase-lag order. By means of composition technique, we construct second and fourth order methods with high phase-lag order of this type. Based on our ideas, three applicable explicit symplectic schemes with algebraic order one, two and four are derived, respectively. We report some numerical results to illustrate the good performance of our methods. |
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