摘要
首先导出复合梯形公式、复合Simpson公式和复合Cotes公式,然后指出它们的关系式,由此再导出Romberg算法,另外用Taylor公式导出复合Simpson公式,最后给出误差估计式和数值例子。
Firstly, the article reasons out the trapezoid formula and compound Simpson formula.And secondly it points out the relation between the two. Then it deduces the Romberg arithmetic.In addition,it deduces the Simpson formula by Taylor formula. At last, the article gives out a formula to estimate the error margin and numerical examples at the same time.
出处
《重庆三峡学院学报》
2003年第2期117-120,共4页
Journal of Chongqing Three Gorges University
关键词
复合求积公式
Romberg算法
误差估计
Compound Multiplicative
Romberg Formula
The Estimate of the Error Margin
