| 基于多分辨分析的数值积分算法 |
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| 引用本文： | 郭汉伟,何建国,尹家贤,刘培国,刘克成. 基于多分辨分析的数值积分算法[J]. 国防科技大学学报, 2000, 22(4): 94-97 |
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| 作者姓名： | 郭汉伟 何建国 尹家贤 刘培国 刘克成 |
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| 作者单位： | 国防科技大学电子科学与工程学院,湖南,长沙,410073 |
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| 摘 要： | 从多分辨分析思想出发 ,推导出一种计算数值积分的算法 ,通过加强迫函数改善其精度。利用张量扩张的原理 ,将其推广到计算多维数值积分。结果表明 ,它不但与传统的Simpson算法有较好的一致性 ,而且对于震荡积分也有较高的精度。
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| 关 键 词： | 多分辨采样 积分 |
| 收稿时间： | 2000-01-15 |
The Numerical Integral Algorithm Based on Multiresolution Analysis |
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| GUO Hanwei,HE Jianguo,YIN Jiaxian,LIU Peiguo and LIU Kecheng. The Numerical Integral Algorithm Based on Multiresolution Analysis[J]. Journal of National University of Defense Technology, 2000, 22(4): 94-97 |
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| Authors: | GUO Hanwei HE Jianguo YIN Jiaxian LIU Peiguo LIU Kecheng |
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| Affiliation: | College of Electronic Science and Engineering, National Univ. of Defense Technology, Changsha 410073, China;College of Electronic Science and Engineering, National Univ. of Defense Technology, Changsha 410073, China;College of Electronic Science and Engineering, National Univ. of Defense Technology, Changsha 410073, China;College of Electronic Science and Engineering, National Univ. of Defense Technology, Changsha 410073, China;College of Electronic Science and Engineering, National Univ. of Defense Technology, Changsha 410073, China |
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| Abstract: | A new numerical integral algorithm is presented according to the idea of multiresolution sampling Its precision is improved by the forcing function It's easy to use in high dimensions integral by tensor extending method The results show that it is not only in good agreement with traditional Simpson algorithm but also more precise to appreciate the high vibrating integral. |
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| Keywords: | multiresolution sampling integral |
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