A SYMPLECTIC INTEGRATION ALGORITHM FOR SEPARABLE HAMILTONIAN FUNCTIONS

被引：180
作者：
CANDY, J
ROZMUS, W
机构：
[1] Department of Physics, University of Alberta, Edmonton
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 1991年 / 92卷 / 01期
关键词：
D O I：
10.1016/0021-9991(91)90299-Z
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We derive an algorithm to numerically integrate differential equations derivable from a separable Hamiltonian function. This symplectic algorithm is accurate to fourth order in the time step and preserves exactly the Poincaré-Cartan integral invariants associated with the topology of the phase flow. We compare the efficiency and accuracy of this method to that of existing integrators (both symplectic and non-symplectic) by integrating the equations of motion corresponding to a nonlinear pendulum, a particle in the field of a standing wave, and a harmonic oscillator perturbed by a plane wave. © 1991.
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页码：230 / 256
页数：27
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