DISK01_QUARTER_RULE is a MATLAB program which demonstrates how to compute a quadrature rule of a particular precision to estimate integrals over the interior of the unit quarter disk in 2D.
The unit quarter disk in 2D is the set of points (X,Y) such that 0 <= X, 0 <= Y, and X^2+Y^2 <= 1.
The program sets up the nonlinear equations that characterize the points and weights of the rule, and then calls MATLAB's fsolve() function to solve the nonlinear system.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
DISK01_QUARTER_RULE is available in a MATLAB version.
DISK_INTEGRALS, a MATLAB library which defines test functions for integration over the interior of the unit disk in 2D.
DISK_MONTE_CARLO, a MATLAB library which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit disk in 2D;
DISK_RULE, a MATLAB library which computes quadrature rules for the unit disk in 2D, that is, the interior of the circle of radius 1 and center (0,0).
DISK01_RULE, a MATLAB library which computes quadrature rules over the interior of the unit disk in 2D.
You can go up one level to the MATLAB source codes.