disk_integrands, a MATLAB code which defines several test integrals over the unit disk, making it possible to check the accuracy of quadrature rules.
Currently, the test integrals include:
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
disk_integrands is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
quadrule, a MATLAB code which defines quadrature rules on a variety of intervals with different weight functions.
stroud, a MATLAB 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, a MATLAB code which can be used to test algorithms for quadrature over the surface of the unit sphere in 3D.
triangle_integrals, a MATLAB code which implements test functions for integration over the interior of a triangle in 2D.