Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896243 | Journal of Geometry and Physics | 2012 | 10 Pages |
Abstract
We propose a new approach to construct structure-preserving algorithms for Birkhoffian systems. First, the Pfaff–Birkhoff variational principle is discretized, and based on the discrete variational principle the discrete Birkhoffian equations are obtained. Then, taking the discrete equations as an algorithm, the corresponding discrete flow is proved to be symplectic. That means the algorithm preserves the symplectic structure of Birkhoffian systems. Simulation results of the given example indicate that structure-preserving algorithms obtained by this method have great advantage in conserving conserved quantities.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Xinlei Kong, Huibin Wu, Fengxiang Mei,