annulus_monte_carlo

annulus_monte_carlo, a MATLAB code which uses the Monte Carlo method to estimate the integral of a function over the interior of a circular annulus in 2D.

A circular annulus with center (XC,YC), inner radius R1 and outer radius R2, is the set of points (X,Y) so that

      R1^2 <= (X-XC)^2 + (Y-YC)^2 <= R2^2

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

annulus_monte_carlo is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

annulus_monte_carlo_test

annulus_distance, a MATLAB code which estimates the typical distance between a pair of points randomly selected inside a circular annulus.

annulus_integrals, a MATLAB code which returns the exact value of the integral of any monomial over the interior of an annulus centered at the origin.

annulus_rule, a MATLAB code which computes a quadrature rule for estimating integrals of a function over the interior of a circular annulus in 2D.

matlab_monte_carlo, a MATLAB code which uses Monte Carlo sampling to estimate areas and integrals.

Source Code:

• annulus_area.m, returns the area of an annulus.
• annulus_sample.m, uniformly samples the points in an annulus.
• disk01_monomial_integral.m, returns the exact integral of a monomial over the unit disk.
• monomial_value.m, evaluates a monomial.