| 高维Cotes优化积分数值算法及其余项估计 |
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| 引用本文： | 朱磊.高维Cotes优化积分数值算法及其余项估计[J].大学数学,2008,24(6). |
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| 作者姓名： | 朱磊 |
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| 作者单位： | 安徽财经大学,统计与应用数学学院,安徽,蚌埠,233030 |
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| 摘 要： | 利用一维Cotes公式及高维积分Cartesian积空间上的求积法则,将Cotes公式推广到了n维空间上,并给出了简单的误差估计.该公式具有比文4],5],6]相关结果更小的误差和更高的收敛阶等优点.
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| 关 键 词： | 区间分划 Simpson公式 Cotes公式 余项估计 |
The Optimum Numerical Method of Compound Cotes Rule for Multidimesional Integrals and Its Error Estimate |
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| ZHU Lei.The Optimum Numerical Method of Compound Cotes Rule for Multidimesional Integrals and Its Error Estimate[J].College Mathematics,2008,24(6). |
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| Authors: | ZHU Lei |
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| Abstract: | The Cotes rule is extended to n-dimensional space by using Cotes rule in one-dimensional space and the quadrature rule of Cartesian integrals for multidimensional integrals in the passage.And the simple error estimate is made.The rule has the advantages of the less error than the relaced results of and 6],high degree of convergence and so on. |
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| Keywords: | interval specialization Simpson formula Cotes formula error estimate |
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