A CLASS OF EXPLICIT RATIONAL SYMPLECTIC INTEGRATORS

Yonglei Fang; Qinghong Li

doi:10.11948/2012012

2012 Volume 2 Issue 2

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Yonglei Fang, Qinghong Li. A CLASS OF EXPLICIT RATIONAL SYMPLECTIC INTEGRATORS[J]. Journal of Applied Analysis & Computation, 2012, 2(2): 161-171. doi: 10.11948/2012012

Citation:

Yonglei Fang, Qinghong Li. A CLASS OF EXPLICIT RATIONAL SYMPLECTIC INTEGRATORS[J]. Journal of Applied Analysis & Computation, 2012, 2(2): 161-171. doi: 10.11948/2012012

A CLASS OF EXPLICIT RATIONAL SYMPLECTIC INTEGRATORS

Yonglei Fang¹,
Qinghong Li²

1 Department of Mathematics and Information Science, Zaozhuang University, Zaozhuang 277160, China;
2 School of Mathematical Sciences, Chuzhou University, Chuzhou 239000, China

Fund Project:

Abstract

Abstract

In this paper, a class of rational explicit symplectic integrators for one-dimensional oscillatory Hamiltonian problems is 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.
- Oscillatory Hamiltonian problems /
- rational explicit symplectic integrators /
- zero-dissipative /
- phase-lag order /
- composition methods
MSC: 65L05

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