| 复合求积公式与Romberg算法 |
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| 引用本文： | 冯天祥. 复合求积公式与Romberg算法[J]. 重庆三峡学院学报, 2003, 19(2): 117-120 |
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| 作者姓名： | 冯天祥 |
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| 作者单位： | 重庆三峡学院计算机科学系,重庆,万州,404000 |
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| 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。
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| 关 键 词： | 复合求积公式 Romberg算法 误差估计 |
| 文章编号： | 1009-8135(2003)02-0117-04 |
| 修稿时间： | 2002-07-12 |
On Compound Multiplicative Formula and Romberg Algorithm |
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| FENG Tian-xiang. On Compound Multiplicative Formula and Romberg Algorithm[J]. JOurnal of Chongqing Three Gorges University, 2003, 19(2): 117-120 |
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| Authors: | FENG Tian-xiang |
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| Abstract: | 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. |
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| Keywords: | Compound Multiplicative Romberg Formula The Estimate of the Error Margin |
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