Z = SIMPS(Y) computes an approximation of the integral of Y via the Simpson's method (with unit spacing). To compute the integral for spacing different from one, multiply Z by the spacing increment.
Z = SIMPS(X,Y) computes the integral of Y with respect to X using the Simpson's rule.
Z = SIMPS(X,Y,DIM) or SIMPS(Y,DIM) integrates across dimension DIM
SIMPS uses the same syntax as TRAPZ.
% The integral of sin(x) on [0,pi] is 2
% Let us compare TRAPZ and SIMPS
x = linspace(0,pi,6);
y = sin(x);
trapz(x,y) % returns 1.9338
simps(x,y) % returns 2.0071
Damien Garcia (2023). Simpson's rule for numerical integration (https://www.mathworks.com/matlabcentral/fileexchange/25754-simpson-s-rule-for-numerical-integration), MATLAB Central File Exchange. Retrieved .
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