disk01_quarter_rule


disk01_quarter_rule, a MATLAB code 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.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

disk01_quarter_rule is available in a MATLAB version.

Related Data and Programs:

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.

disk01_quarter_monte_carlo, a MATLAB code which uses the Monte Carlo method to estimate integrals over the unit quarter disk in 2D.

disk01_quarter_rule_test

Source Code:


Last revised on 09 January 2019.