| 二次紧支撑样条小波插值及其应用 |
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| 引用本文： | 徐应祥.二次紧支撑样条小波插值及其应用[J].应用数学与计算数学学报,2009,23(2):1-8. |
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| 作者姓名： | 徐应祥 |
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| 作者单位： | 西北师范大学数学与信息科学学院,兰州,730070;中山大学科学计算与计算机应用系,广州,510275 |
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| 摘 要： | 以二次紧支撑样条小波为基函数,构造了一类二次紧支撑样条小波插值函数,仔细讨论了其计算过程和误差.再将其应用于数值积分,给出了一类求数值积分的新公式,分析了其误差,最后给出一个数值例子.
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| 关 键 词： | 紧支撑 样条小波 插值 数值积分 |
Quadratic Compactly Supported Spline Wavelet Interpolation and Its Application |
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| Xu Yingxiang.Quadratic Compactly Supported Spline Wavelet Interpolation and Its Application[J].Communication on Applied Mathematics and Computation,2009,23(2):1-8. |
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| Authors: | Xu Yingxiang |
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| Institution: | Xu Yingxiang(College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China 2. Department of Scientific Computation and Computer Application, Sun Yat-sen University, Guangzhou 510275, China) |
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| Abstract: | Using quadratic compactly supported spliae wavelet as the bases func-tion, a class of quadratic compactly supported spline wavelet interpolation had been constructed. The computation and the error of the interpolated function had been given carefully. Then the numerical integration had been discussed. Its computation and the error had been given. An numerical example had been given at last. |
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| Keywords: | compactly supported spline wavelet interpolated numerical integration |
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