Note on Romberg Quadrature Formula

被引：0

作者：

Gao, Shang ^{[1
]}

Gao, Yi ^{[2
]}

机构：

[1] Jiangsu Univ Sci & Technol, Sch Comp Sci & Engn, Zhenjiang 212003, Peoples R China

[2] Zhenjiang Daily, Zhenjiang 212003, Peoples R China

来源：

PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION (ICMS2011), VOL 1 | 2011年

关键词：

Romberg quadrature formula; error; Newton-Cotes formula; Gauss quadrature formula;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Romberg formula is analyzed in detail. The obvious form of Romberg 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 quadrature formula is not a perfect quadrature formula.

引用

页码：69 / 72

页数：4

共 5 条

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[2]

Burden RL, 2001, NUMERICAL ANAL, P141

[3]

Feng Tian-xiang, 2005, J CHONGQING 3 GORGES, V21, P58

[4]

MATHEWS JH, 2002, NUMERICAL METHODS US, P280

[5] An application of Romberg extrapolation on quadrature method for solving linear Volterra integral equations of the second kind [J].

Mestrovic, Mladen ;

Ocvirk, Eva .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 194 (02) :389-393

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