| 一类带端点导数的Cotes修正公式 |
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| 引用本文： | 杜跃鹏.一类带端点导数的Cotes修正公式[J].南阳理工学院学报,2011,3(4):111-113. |
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| 作者姓名： | 杜跃鹏 |
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| 作者单位： | 南阳理工学院计算机科学与技术系,河南南阳,473004 |
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| 摘 要： | 本文利用Euler—Maclaurin公式，给出了一类带端点导数的Cotes修正公式、截断误差，分析了相应的复化公式的收敛阶，最后给出了数值算例。
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| 关 键 词： | Cotes公式 Euler—Maclaurin公式 代数精度 截断误差 |
A KIND OF MODIFIED COTES FORMULA WITH ENDPOINT DERIVATIVES |
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| DU Yue-peng.A KIND OF MODIFIED COTES FORMULA WITH ENDPOINT DERIVATIVES[J].Journal of Nanyang Institute of Technology,2011,3(4):111-113. |
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| Authors: | DU Yue-peng |
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| Institution: | DU Yue-peng (Department of Computer Science and Technology, Nanyang Institute of Technology, Nanyan 473004, China) |
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| Abstract: | This paper presents a class of modified formula for Cotes rule with endpoint derivatives and its truncation error with Euler- Maclaurin formula employed. It also displays an analysis on convergence order of compound formula. Examples of numerical calculation have validated theoretical analysis. |
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| Keywords: | Cotes formula Euler-Maclaurin formula algebraic accuracy truncation error |
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