cube_arbq_rule, a C code which returns quadrature rules, with exactness up to total degree 15, over the interior of a cube in 3D, by Hong Xiao and Zydrunas Gimbutas.
The original source code, from which this library was developed, is available from the Courant Mathematics and Computing Laboratory, at https://www.cims.nyu.edu/cmcl/quadratures/quadratures.html ,
The information on this web page is distributed under the MIT license.
cube_arbq_rule is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.
c_rule, a C 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).
cube_exactness, a C code which investigates the polynomial exactness of quadrature rules over the interior of a cube in 3D.
cube_felippa_rule, a C code which returns a Felippa quadrature rule over the interior of a cube in 3D.
cube_grid, a C code which computes a grid of points over the interior of a cube in 3D.
cube_integrals, a C code which returns the exact value of the integral of any monomial over the interior of the unit cube in 3D.
cube_monte_carlo, a C code which applies a Monte Carlo method to estimate the integral of a function over the interior of the unit cube in 3D;
gnuplot_test, a C code which uses the gnuplot() graphics program.