| 改进的高斯二点求积公式 |
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| 引用本文： | 李毅夫.改进的高斯二点求积公式[J].延边大学理工学报,2010,36(2):119-121. |
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| 作者姓名： | 李毅夫 |
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| 作者单位： | 黑龙江交通职业技术学院,数学教研室,黑龙江,齐齐哈尔,161000 |
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| 摘 要： | 为改进高斯二点求积公式,提出了一个增加求积公式校正项的求积余项公式.此方法在可完全利用高斯二点求积公式数据的基础上,通过增加一个校正项,即可达到与高斯三点求积公式相当的求积精度,而且可以对求积误差进行估计,提高了求积方法的实用性和求积数据利用的效率.
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| 关 键 词： | 高斯二点求积公式 求积余项 Peano核 |
An Improvement in Gaussian 2-nodes Integration |
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| LI Yi-fu.An Improvement in Gaussian 2-nodes Integration[J].Journal of Yanbian University (Natural Science),2010,36(2):119-121. |
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| Authors: | LI Yi-fu |
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| Affiliation: | LI Yi-fu (Heilongjiang Communications Polytechnic,Qiqihar 161000,China) |
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| Abstract: | In order to make an improvement on Gaussian 2-nodes quadrature formula,the remainder formula of Gaussian 2-nodes quadrature formula with correction term is presented.In the light of the method,the data obtained by Gaussian 2-nodes quadrature formula can all be used again and the quadrature error can be estimated.Furthermore,not only the quadrature accuracy obtained by the method can be equal to that of Gaussian 3-nodes quadrature formula,but the practicability and efficiency of quadrature can also be enhanced. |
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| Keywords: | Gaussian 2-nodes integration quadrature remainder Peano kernel |
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