| 一种正余弦变换的改进高效算法 |
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| 引用本文： | 陈入云,向淑晃.一种正余弦变换的改进高效算法[J].工程地球物理学报,2008,5(4):416-419. |
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| 作者姓名： | 陈入云 向淑晃 |
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| 作者单位： | 1. 广东海洋大学理学院,湛江,524088
2. 中南大学数学院 长沙 410083 |
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| 摘 要： | 在最速下降法的基础上，给出了地球物理勘探中计算一种正余弦变换的一个有效数值算法，同时对新算法产生的误差进行了理论分析，并用数值实验对理论分析进行了检验．误差的理论分析及数值实验的结果证明了该算法具有较高的精度。
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| 关 键 词： | 数值积分 复积分方法 Filon型方法 正余弦变换 最速下降法 |
A Modified Method of Calculating the Sine and Cosine Transform |
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| Chen Ruyun,Xiang Shuhuang.A Modified Method of Calculating the Sine and Cosine Transform[J].Chinese Journal of Engineering Geophysics,2008,5(4):416-419. |
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| Authors: | Chen Ruyun Xiang Shuhuang |
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| Affiliation: | Chen Ruyun ,Xiang Shuhuang (1. School of Science, Guangdong Ocean University, Zhanjiang Guangdong 524088, China ; 2. School of Mathematics, Central South University, Changsha Hunan 410083, China) |
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| Abstract: | Based on the steepest descent method,we present an efficient numerical method for computing the sine and cosine transform in resistivity measure,and present theoretical analysis of the error bound.The results of the theoretical analysis and numerical examples show that this method has its high accuracy. |
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| Keywords: | numerical quadrature complex integration method Filon-type method sine and cosine transform steepest descent method |
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