| ON A QUADRATURE FORMULA WITH FIRST DERIVATIVE AND ITS DEGREE OF ACCURACY |
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| 引用本文： | 欧阳梓祥,吴新元. ON A QUADRATURE FORMULA WITH FIRST DERIVATIVE AND ITS DEGREE OF ACCURACY[J]. 高等学校计算数学学报(英文版), 1996, 0(2) |
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| 作者姓名： | 欧阳梓祥 吴新元 |
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| 作者单位： | School of International Business，Nanjing University，Nanjing 210093，PRC，Department of Mathematics，Nanjing University，Nanjing 210093，PRC. |
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| 摘 要： | This paper develops a clase of quadrature formula with first derivativesIt is demonstrated that its degree of accuracy is not less than 2k+1 for a set of distinct nodes {x0,x1,...,xn} over interval [a,b],and just only 2k+1 for equally spaced nodes.Far overcoming the shortcoming of involving a great number of manual computations for the integration rules of the Hermitian interpolation formula,some simple formulas for computing automatically βi,γi and E [f] by computer are given,especially for equally spaced nodes.
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ON A QUADRATURE FORMULA WITH FIRST DERIVATIVE AND ITS DEGREE OF ACCURACY |
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| Ouyang Zi-xiang School of International Business,Nanjing University,Nanjing ,PRC Wu Xin-yuan. ON A QUADRATURE FORMULA WITH FIRST DERIVATIVE AND ITS DEGREE OF ACCURACY[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 1996, 0(2) |
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| Authors: | Ouyang Zi-xiang School of International Business Nanjing University Nanjing PRC Wu Xin-yuan |
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| Affiliation: | Ouyang Zi-xiang School of International Business,Nanjing University,Nanjing 210093,PRC Wu Xin-yuan Department of Mathematics,Nanjing University,Nanjing 210093,PRC. |
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| Abstract: | |
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| Keywords: | Quadrature formula degree of accuracy. |
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