| 一个高精度数值积分公式 |
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| 引用本文： | 许江浩,陈志坤,刘斌. 一个高精度数值积分公式[J]. 四川轻化工学院学报, 2011, 0(2): 168-170 |
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| 作者姓名： | 许江浩 陈志坤 刘斌 |
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| 作者单位： | [1]成都理工大学信息管理学院,成都610059 [2]吉林财经大学经济模拟研究所,长春130117 |
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| 摘 要： | 文章对文一个高精度积分公式作改进,用四个点和它们的一阶导数做加权平均,使得该公式的代数精度由五阶提高到七阶,并对该公式进行复化,然后推广到二重积分。数值实验结果表明：改进后的公式比原来的积分公式具有更高的精度。
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| 关 键 词： | 数值积分 复合公式 高精度 |
A Higher Order Accuracy Numerical Quadrature Rule |
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| XU Jiang-hao,CHEN Zhi-kun,LIU Bin. A Higher Order Accuracy Numerical Quadrature Rule[J]. Journal of Sichuan Institute of Light Industry and Chemical Technology, 2011, 0(2): 168-170 |
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| Authors: | XU Jiang-hao CHEN Zhi-kun LIU Bin |
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| Affiliation: | 1.College of Information Management,Chengdu University of Technology,Chengdu 610059,China;2.Institute of Economic Simulation,Jilin University of Finance and Economics,Changchun 130117,China) |
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| Abstract: | In this paper,it improved a high accurate integral formula by weighted average with four points and their first derivatives.The new formula has 7th order accurate.And then,we compound it to obtain the compound formula,and extend these formulas to the double integrals.Numerical results show that the new formulas have higher accurate. |
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| Keywords: | numerical integration compound formula high order accuracy |
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