| 两个复化的Gauss-Legendre型求积公式及其误差分析 |
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| 引用本文： | 王晓霞,王治和.两个复化的Gauss-Legendre型求积公式及其误差分析[J].西北师范大学学报,2011,47(2). |
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| 作者姓名： | 王晓霞 王治和 |
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| 作者单位： | 西北师范大学数学与信息科学学院; |
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| 摘 要： | 对两点和三点Gauss-Legendre公式进行复化,建立了两个新的数值积分公式,并分析了它们的积分误差和收敛阶.数值例子表明,我们的方法是高效的.
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| 关 键 词： | 数值积分 收敛阶 复化Gauss-Legendre公式 积分误差 |
Two composite Gauss-Legendre formulae and their errors analysis |
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| WANG Xiao-xia,WANG Zhi-he.Two composite Gauss-Legendre formulae and their errors analysis[J].Journal of Northwest Normal University Natural Science (Bimonthly),2011,47(2). |
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| Authors: | WANG Xiao-xia WANG Zhi-he |
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| Institution: | WANG Xiao-xia,WANG Zhi-he (College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,Gansu,China) |
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| Abstract: | Two numerical integration rules are constructed by compositing the two-point and three-point Gauss-Legendre formulae,and integral errors and convergence order are also analyzed.Examples show that our methods are efficient. |
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| Keywords: | numerical integration convergence order composite Gauss-Legendre formulae integral error |
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