| 基于MATLAB的变步长复合Simpson数值积分法的研究与实验 |
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| 引用本文： | 刘小伟,黄昌伟,胡佳.基于MATLAB的变步长复合Simpson数值积分法的研究与实验[J].江西教育学院学报,2011,32(6):53-56. |
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| 作者姓名： | 刘小伟 黄昌伟 胡佳 |
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| 作者单位： | 江西教育学院,江西南昌,330032 |
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| 摘 要： | 通过介绍有关数值求积公式的定义和变步长复合Simpson求积法的基本原理,给出了实现变步长复合Simpson求积法的MATLAB源文件,并结合几个算例验证了变步长复合Simpson求积法的基本原理,以供相关工程技术人员和科学研究者在利用变步长复合Simpson求积法解决那些用微积分方法所不能求解的积分问题时作参考。
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| 关 键 词： | 求积公式 梯形求积 变步长 复合Simpson求积法 MATLAB 数学实验 |
Research and Experiment Based on the MATLAB Variable Step Size Composite Simpson Numerical Quadrature |
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| LIU Xiao-wei,HUANG Chang-wei,HU Jia.Research and Experiment Based on the MATLAB Variable Step Size Composite Simpson Numerical Quadrature[J].Journal of Jiangxi Institute of Education,2011,32(6):53-56. |
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| Authors: | LIU Xiao-wei HUANG Chang-wei HU Jia |
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| Institution: | (Jiangxi Institute of Education,Nanchang 330029,China) |
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| Abstract: | The paper introduces the basic theories about the definition of numerical quadrature formula and variable step size composite Simpson quadrature,and provides the source code file which implements the variable step size composite Simpson quadrature,proves the basic theory of variable step size composite Simpson with some examples.It could be the reference for the relevant engineers,technicians and scientific researchers who couldn’t solve integral problem with Calculus,and turn to variable step size composite Simpson quadrature. |
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| Keywords: | quadrature formula trapezoidal quadrature variable step size composite Simpson quadrature MATLAB Mathematical Experiment |
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