Composite Simpson's rule for irregularly spaced data

版本 1.0.4 (41.8 KB) 作者: Marko
Composite Simpson's rule for irregularly spaced data based on a parabolic polynomial fit.
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更新时间 2023/7/3

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From the Newton-Cotes family of numeric integration the Simpson's rule is a popular method to numerically evaluate the definite integral of a mathematical function f(x).
This implementation work with regularly and irregularly spaced data. For irregularly spaced data, matlabs polnomial fit function polyfit is used.
% Example:
% y = [0 1 2 4 5]
% I = simpsonQuad(y)
%
% y = [0 1 2 3 4]
% x = [4 6 8 10 12]
% I = simpsonQuad(x,y)
%
% y = [0 2 3 4 5]
% x = [4 6 9 10 13]
% I = simpsonQuad(x,y)

引用格式

Josic (2023). simpsonQuad (https://www.mathworks.com/matlabcentral/fileexchange/<...>), MATLAB Central File Exchange. Retrieved July 1, 2023.

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创建方式 R2023a
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参考作品: simpsonQuadrature

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版本 已发布 发行说明
1.0.4

corrected description
1.0.3

* updated the plotting function and added a plot as comparison with trapz
* changed the input arguments from simpsonQuad(y,x) to simpsonQuad(x,y)
* updated the description
1.0.2

upload the new version
1.0.1

correction in the description
1.0.0