Path: Math/Integration
% Uses 2D Simpson's Rule to integrate an area.
The area is rectangular with boundaries x = a to x = b an dy = c to
y = d. The number of divisions is nX in x and nY in y. nX and nY
should be odd. If they are even it will add one. The integrand is of
the form
integrand(a,b,c,d,varargin)
Type TwoDSimpsonIntegration for a built-in demo for the integral of
y.*sin(x)+x.*cos(y); from pi <= x <= 2pi and 0 <= y <= pi.
rHS is a pointer. The function must be vectorized.
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Form:
q = TwoDSimpsonIntegration( integrand, a, b, c, d, nX, nY, varargin )
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Inputs
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integrand (1,1) Pointer to the integratnd
a (1,1) Lower x limit
b (1,1) Upper x limit
c (1,1) Lower y limit
d (1,1) Upper y limit
nX (1,1) Number of divisions in x
nY (1,1) Number of divisions in y
varargin {} Passed to integrand
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Outputs
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q (1,1) Integral
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Common: Graphics/Plot2D Math: MathUtils/Odd
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