disk01_positive_rule, a Python code which demonstrates how to compute a quadrature rule of a particular precision to estimate integrals over the interior of the unit positive disk in 2D.
The unit positive 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 a least square solver for the nonlinear system.
The information on this web page is distributed under the MIT license.
disk01_positive_rule is available in a MATLAB version and an Octave version and a Python version.
python_rule, a Python code which computes a quadrature rule which estimates the integral of a function f(x), which might be defined over a one dimensional region (a line) or more complex shapes such as a circle, a triangle, a quadrilateral, a polygon, or a higher dimensional region, and which might include an associated weight function w(x).