参考文献/References:
[1] Feng Kang. Difference schemes for Hamiltonian formulism and symplectic geometry [J]. Journal of Computational Mathematics, 1986(3):279-289.
[2] Feng Kang, Qin Mengzhao. The symplectic methods for the computation of Hamiltonian equations. In [A]. Berlin:Springer, 1987.1-37.
[3] Feng Kang. On difference schemes and symplectic geometry. In [A]. Beijing:Science Press, 1985.42-58.
[4] Bridges T J, Reich S. Multi-symplectic integrators: Numerical schemes for Hamiltonian PDEs that conserve symplecticity [J]. Physics Letters A, 2001, (4-5):184-193.
[5] Bridges T J. Multi-symplectic structures and wave propagation [J]. Mathematical Proceedings of the Cambridge Philosophical Society, 1997.147-190.doi:10.1017/S0305004196001429.
[6] 李荣华, 冯果忱. 微分方程数值解法 [M]. 北京:人民教育出版社, 1980.308-380.
[7] 矢(山鸟)信男, 野木達夫, 王宝兴. 发展方程的数值分析 [M]. 北京:人民教育出版社, 1983.36-106.
相似文献/References:
[1]郭峰.IMBq方程的多辛格式及其守恒律[J].华侨大学学报(自然科学版),2005,26(4):343.[doi:10.3969/j.issn.1000-5013.2005.04.003]
Guo Feng.Multi-Symplectic Scheme for IMBq Equation and the Conservation Laws to Which It Subjects[J].Journal of Huaqiao University(Natural Science),2005,26(4):343.[doi:10.3969/j.issn.1000-5013.2005.04.003]
[2]单双荣.梁振动方程的多辛Fourier拟谱算法[J].华侨大学学报(自然科学版),2006,27(3):234.[doi:10.3969/j.issn.1000-5013.2006.03.003]
Shan Shuangrong.Multi-Symplectic Fourier Pseudo-Spectral Method for Vibrations of Beams[J].Journal of Huaqiao University(Natural Science),2006,27(4):234.[doi:10.3969/j.issn.1000-5013.2006.03.003]