| 数值积分加速定理 |
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| 引用本文： | 李毅夫. 数值积分加速定理[J]. 齐齐哈尔大学学报(自然科学版), 1995, 0(1) |
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| 作者姓名： | 李毅夫 |
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| 作者单位： | 齐齐哈尔铁路运输职工大学 |
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| 摘 要： | Ｒｉｃｈａｒｄｓｏｎ外推法或Ｒｏｍｂｅｒｇ求积方法只能以梯形公式为基础对求积进行加速。本文给出的数值积分加速定理，不但可使梯形公式得到加速，而且可使更多的求积方法得到加速。因而，本文定理具有范围广泛得多的适用性。
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| 关 键 词： | Richardson外推法，Romberg求积方法 |
Acceleration Theorems for Numerical Integration |
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| Li Yifu. Acceleration Theorems for Numerical Integration[J]. Journal of Qiqihar University(Natural Science Edition), 1995, 0(1) |
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| Authors: | Li Yifu |
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| Affiliation: | Qiqihar Staff--and--workers University of Railway Transportation |
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| Abstract: | Using acceleration theorems given by this paper. not only trapezoidal rule can be accelerated, but also can more quadrature methods, e. g. Gaussian integration. NewtonCotes' rule. Patterson's quadrature method and so on, be accelerated. Therefor.theorems in this paper can be found wide application in greater range. |
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| Keywords: | Richardson' s extrapolation Romberg' s quadrature method |
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