| 五次二重样条小波的微分方程自适应正交配置 |
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| 引用本文： | 钟一兵,舒适,关履泰.五次二重样条小波的微分方程自适应正交配置[J].中山大学学报(自然科学版),2005,44(2):23-26. |
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| 作者姓名： | 钟一兵 舒适 关履泰 |
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| 作者单位： | 1. 中山大学科学计算与计算机应用系,广东,广州,510275
2. 湘潭大学数学系,湖南,湘潭,411105 |
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| 基金项目： | 国家自然科学基金，香港中山大学校科研和教改项目，广东省自然科学基金 |
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| 摘 要： | 对于五次二重样条插值快速求解算法,在能量内积意义下通过建立对偶小波,刻划了函数值和小波展式系数之间的关系,进而得到了它的奇性检测性质.最后将该格式用于构造求解微分方程的自适应正交配置算法.
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| 关 键 词： | 样条小波 对偶小波 奇性检测 自适应 |
| 文章编号： | 0529-6579(2005)02-0023-04 |
| 修稿时间： | 2004年3月23日 |
An Adaptive Orthonormal Collocation Method Based on Quintic Spline-wavelets of Two Defects for Differential Equations |
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| ZHONG Yi-bing,Shu Shi,GUAN Lü-tai.An Adaptive Orthonormal Collocation Method Based on Quintic Spline-wavelets of Two Defects for Differential Equations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2005,44(2):23-26. |
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| Authors: | ZHONG Yi-bing Shu Shi GUAN Lü-tai |
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| Abstract: | For fast interpolation with quintic spline two multiwavelets, through constituting dual wavelets,the relation between values of function and coefficients of wavelets expansion is maped.Consequently the property of singularity detecting of the fast interpolation is obtained.At last,this scheme is used for constructing an adaptive orthonormal collocation method for differential equations. |
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| Keywords: | spline wavelets dual wavelets singularity detecting adaptive scheme |
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