DISK01_QUARTER_RULE
Compute a Quadrature Rule for the Unit Quarter Disk


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.

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:

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.

Source Code:

Examples and Tests:

You can go up one level to the MATLAB source codes.


Last revised on 05 May 2016.