| 梁振动方程的多辛Preissman格式 |
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| 引用本文： | 黄浪扬,郑小红. 梁振动方程的多辛Preissman格式[J]. 华侨大学学报(自然科学版), 2004, 25(4): 360-365 |
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| 作者姓名： | 黄浪扬 郑小红 |
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| 作者单位： | 华侨大学数学系,福建,泉州,362021;华侨大学数学系,福建,泉州,362021 |
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| 基金项目： | 国务院侨务办公室科研基金资助项目 (0 2QZR0 7) |
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| 摘 要： | 考虑粱振动方程的一个多辛形式．并利用中点公式得到一个等价于多辛Preissman积分的新格式．用Fourier分析法，证明该格式是无条件稳定的．最后给出数值例子．数值例子表明,文中所给的格式是有效的,且理论分析与实际计算相吻合．
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| 关 键 词： | 梁振动方程 多辛 守恒律 稳定性 收敛性 |
| 文章编号： | 1000-5013(2004)04-0360-06 |
Multi-Symplectic Preissman Scheme for Solving Vibration Equation of Beams |
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| Huang Langyang,Zheng Xiaohong. Multi-Symplectic Preissman Scheme for Solving Vibration Equation of Beams[J]. Journal of Huaqiao University(Natural Science), 2004, 25(4): 360-365 |
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| Authors: | Huang Langyang Zheng Xiaohong |
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| Abstract: | For solving vibration equation of beams, a symplectic form is considered; and a new scheme equivalent to multi-symplectic Preissman integrator is obtained by using midpoint formula; and the scheme is proved to be unconditionally stable by using the method of Fourier analysis. The scheme is effective and theoretical analysis coincides with actual calculation, as shown by numerical examples which are given finally. |
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| Keywords: | vibration equation of beams multi-symplectic law of conservation stability convergence |
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