disk01_integrands


disk01_integrands, an Octave code which defines several integrands over the unit disk, to check the accuracy of quadrature rules.

Currently, the test integrals include:

  1. x^e, where the parameter e is set by the user.
  2. r^e, where the parameter e is set by the user.
  3. exp(x)

Licensing:

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

Languages:

disk01_integrands is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

disk01_integrands_test

disk_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of a disk of radius R centered at the origin.

quadrule, an Octave code which defines quadrature rules on a variety of intervals with different weight functions.

stroud, an Octave code which defines quadrature rules for a variety of M-dimensional regions, including the interior of the square, cube and hypercube, the pyramid, cone and ellipse, the hexagon, the M-dimensional octahedron, the circle, sphere and hypersphere, the triangle, tetrahedron and simplex, and the surface of the circle, sphere and hypersphere.

sphere_integrals, an Octave code which can be used to test algorithms for quadrature over the surface of the unit sphere in 3D.

triangle_integrals, an Octave code which implements test functions for integration over the interior of a triangle in 2D.

Source Code:


Last revised on 11 October 2022.