| 关于Romberg求积公式注记 |
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| 引用本文： | 高尚,李洪梅. 关于Romberg求积公式注记[J]. 科学技术与工程, 2009, 9(9) |
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| 作者姓名： | 高尚 李洪梅 |
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| 作者单位： | 江苏科技大学计算机科学与工程学院,镇江,212003;江苏科技大学计算机科学与工程学院,镇江,212003 |
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| 摘 要： | 对Romberg求积公式进行了详细分析.讨论了其显式公式,给出了其误差公式.与Newton-Cotes和Gauss求积公式进行了比较分析,得出Romberg求积并不是一个理想的求积公式.
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| 关 键 词： | Romberg求积 误差 Newton-Cotes公式 Gauss求积公式 |
Note on Romberg''s Quadrature Formula |
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| GAO Shang,LI Hong-mei. Note on Romberg''s Quadrature Formula[J]. Science Technology and Engineering, 2009, 9(9) |
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| Authors: | GAO Shang LI Hong-mei |
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| Affiliation: | School of Computer and Engineering;Jiangsu University of Science and Technology;Zhenjiang 212003;P.R.China |
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| Abstract: | The Romberg formula is analyzed in detail.The obvious form of Romberg's quadrature formula is discussed and the error equation is presented.Based on the analysis and comparison between Romberg formula and Newton-Cotes formula and Gauss quadrature formula,Romberg formula is not a perfect quadrature formula. |
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| Keywords: | Romberg's quadrature formula error Newton-Cotes formula Gauss quadrature formula |
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