矩形校正公式的误差分析

数学季刊 ›› 2008, Vol. 23 ›› Issue (2): 270-275.

矩形校正公式的误差分析

1. Department of Mathematics,Nanyang Institute of Technology 2. Department of Computer,Nayang Institute of Technology

收稿日期:2007-08-12 出版日期:2008-06-30 发布日期:2023-10-09
作者简介:XIAO Ze-chang(1962-), male, native of Nanyang, Henan, an associate professor of Nanyang Institute of Technology, engages in computational mathematics; DU Yue-peng(1965-), male, native of Nanyang, Henan, an associate professor of Nanyang Institute of Technology, engages in computational mathematics.

Error Analysis on Corrector Formula for Rectangular Rule

1. Department of Mathematics,Nanyang Institute of Technology 2. Department of Computer,Nayang Institute of Technology

Received:2007-08-12 Online:2008-06-30 Published:2023-10-09
About author:XIAO Ze-chang(1962-), male, native of Nanyang, Henan, an associate professor of Nanyang Institute of Technology, engages in computational mathematics; DU Yue-peng(1965-), male, native of Nanyang, Henan, an associate professor of Nanyang Institute of Technology, engages in computational mathematics.

摘要/Abstract

摘要： This paper presents truncation errors among Corrector Formula for left Rectangular rule and Corrector Formula for middle Rectangular rule respectively. It also displays an analysis on convergence order of compound corrector formulas for rectangular rule. Examples of numerical calculation have validated theoretical analysis.

关键词: numerical integration, algebraic accuracy, corrector formula, truncation error;
convergence order

Abstract: This paper presents truncation errors among Corrector Formula for left Rectangular rule and Corrector Formula for middle Rectangular rule respectively. It also displays an analysis on convergence order of compound corrector formulas for rectangular rule. Examples of numerical calculation have validated theoretical analysis.

Key words: numerical integration, algebraic accuracy, corrector formula, truncation error;
convergence order

肖泽昌, 杜跃鹏. 矩形校正公式的误差分析[J]. 数学季刊, 2008, 23(2): 270-275.

XIAO Ze-chang, DU Yue-peng. Error Analysis on Corrector Formula for Rectangular Rule [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2): 270-275.

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