| 引用本文: | 郭汉伟,何建国,尹家贤,等.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.[点击复制] |
| GUO Hanwei,HE Jianguo,YIN Jiaxian,et al.The Numerical Integral Algorithm Based on Multiresolution Analysis[J].Journal of National University of Defense Technology,2000,22(4):94-97[点击复制] |
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| 基于多分辨分析的数值积分算法 |
| 郭汉伟, 何建国, 尹家贤, 刘培国, 刘克成 |
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(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。 |
| 关键词: 多分辨采样 积分 |
| DOI： |
| 投稿日期：2000-01-15 |
| 基金项目: |
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| The Numerical Integral Algorithm Based on Multiresolution Analysis |
| GUO Hanwei, HE Jianguo, YIN Jiaxian, LIU Peiguo, LIU Kecheng |
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(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. |
| Keywords: multiresolution sampling integral |
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