[1]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):234-237.[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(3):234-237.[doi:10.3969/j.issn.1000-5013.2006.03.003]
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梁振动方程的多辛Fourier拟谱算法()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第27卷
期数:
2006年第3期
页码:
234-237
栏目:
出版日期:
2006-07-20

文章信息/Info

Title:
Multi-Symplectic Fourier Pseudo-Spectral Method for Vibrations of Beams
文章编号:
1000-5013(2006)03-0234-04
作者:
单双荣
华侨大学数学系 福建泉州362021
Author(s):
Shan Shuangrong
Department of Mathematics, Huaqiao University, 362021, Quanzhou, China
关键词:
梁振动方程;  多辛;  Fourier拟谱方法;  守恒律
Keywords:
vibration of beam;  multi-symplectic;  Fourier pseudo-spectral;  conservation law
分类号:
O241.82
DOI:
10.3969/j.issn.1000-5013.2006.03.003
文献标志码:
A
摘要:
利用Fourier拟谱方法,分别对梁振动方程的辛格式进行空间和时间方向上的离散,得到相应的多辛守恒律.文中证明了离散局部能量守恒,并用实例说明理论分析是正确的.
Abstract:
The discretization in space and in time and the mulit-symplectic consevation law are obtained for the symplectic schemes of vibration equations of beams by means of Fourier pseudo-spectral method.The conservation of the discrete local energy is proved.It is shown that the method is effective by numerical examples.

参考文献/References:

[1] 曾文平, 郑小红. 梁振动方程的多辛算法 [J]. 漳州师范学院学报(自然科学版), 2003(4):1-5.doi:10.3969/j.issn.1008-7826.2003.04.001.
[2] Bridges T J, Reich S. Multi-symplectic special discretizations for the Zakharov-Kuznetsov and shallow water equations [J]. Physica D:Nonlinear Phenomena, 2001():491-504.doi:10.1016/S0167-2789(01)00188-9.
[3] Chen Jingbo, Qin Mengzhao, Tang Yifa. Symplectic and multi-symplectic metods for the nonlinear Schr(O)dinger equation [J]. Computers and Mathematics with Applications, 2002, (8/9):1095-1106.doi:10.1016/S0898-1221(02)80015-3.
[4] Chen Jingbo, Qin Mengzhao. Multi-symplectic Fourier pseudospectral method for the nonlinear Schr(O)dinger equation [J]. ETNA, 2001.193-204.
[5] 曾文平, 郑小红, 单双荣. 具有波动算子的非线性Schr(O)dinger方程的辛Fourier拟谱离散 [J]. 河南师范大学学报(自然科学版), 2005(2):15-18.doi:10.3969/j.issn.1000-2367.2005.02.004.

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备注/Memo

备注/Memo:
国务院侨务办公室科研基金资助项目(04QZR09)
更新日期/Last Update: 2014-03-23