CUMSIM: "CUMulative SIMpson" integral

Versione 1.0.0.0 (2,51 KB) da Vassili Pastushenko
Integral(y(x),x(1),x(end)) by Simpson. Nonequidistantlysampled data regularuzed by PARFIL
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Aggiornato 8 mar 2006

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CUMSIM integrates sampled vectors or matrices y as functions of vector x, not necessarily uniform. Parabolic interpolation is made by PARFIL.

Contents of CUMSIM.zip

CUMSIM
CUMSPLINE
COMPCUM

CUMSPLINE: similar to CUMSIM, but interpolation is made by interp1(x,y,X,'spline'), where X=parfil(x,x);

COMPCUM: compares results of

CUMSIM,
CUMSIMPSON (cf. FEX) and
CUMSPLINE,

integrating sin(x) with randomly generated x.
Repetitive call of COMPCUM generates different versions of the screenshot above.

As a rule, CUMSPLINE wins, but if the data are slightly noisy, CUMSIM can win (cf. PARFIL).

Cita come

Vassili Pastushenko (2024). CUMSIM: "CUMulative SIMpson" integral (https://www.mathworks.com/matlabcentral/fileexchange/10236-cumsim-cumulative-simpson-integral), MATLAB Central File Exchange. Recuperato .

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Versione Pubblicato Note della release
1.0.0.0