数值积分的可选择误差界

数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 108-113.

数值积分的可选择误差界

1. College of Sciences, Zhejiang University of Technology2. Department of Mathematics, Henan Institute of Education

收稿日期:2007-05-31 出版日期:2011-03-30 发布日期:2023-05-12
作者简介:LU Jian-fang(1964- ), female, native of Hangzhou, Zhejiang, an associate professor of Zhejiang University of Technology, engages in numerical analysis.
基金资助:
Supported by the Natural Science Foundation of Zhejiang Province(Y6090361)；

Alternative Error Bounds for Some Numerical Quadrature Rules

1. College of Sciences, Zhejiang University of Technology2. Department of Mathematics, Henan Institute of Education

Received:2007-05-31 Online:2011-03-30 Published:2023-05-12
About author:LU Jian-fang(1964- ), female, native of Hangzhou, Zhejiang, an associate professor of Zhejiang University of Technology, engages in numerical analysis.
Supported by:
Supported by the Natural Science Foundation of Zhejiang Province(Y6090361)；

摘要/Abstract

摘要： Similar to having done for the mid-point and trapezoid quadrature rules, we obtain alternative estimations of error bounds for the Simpson’s quadrature rule involving n-time(1 ≤ n ≤ 4) differentiable mappings and then to the estimations of error bounds for the adaptive Simpson’s quadrature rule.

关键词: n-numerical quadrature rule, Simpson’s quadrature rule, adaptive quadrature
rule, dfferentiable mapping, error bounds

Abstract: Similar to having done for the mid-point and trapezoid quadrature rules, we obtain alternative estimations of error bounds for the Simpson’s quadrature rule involving n-time(1 ≤ n ≤ 4) differentiable mappings and then to the estimations of error bounds for the adaptive Simpson’s quadrature rule.

Key words: n-numerical quadrature rule, Simpson’s quadrature rule, adaptive quadrature
rule, differentiable mapping, error bounds

中图分类号:

O241.4

陆建芳, 封平华. 数值积分的可选择误差界[J]. 数学季刊, 2011, 26(1): 108-113.

LU Jian-fang, FENG Ping-hua. Alternative Error Bounds for Some Numerical Quadrature Rules [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 108-113.

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