cube_felippa_rule, a C code which generates the points and weights of a Felippa quadrature rule over the interior of a cube in 3D.
Actually, the word "cube" is meant to designate any quadrature region defined by:
A(1) <= X <= B(1)
A(2) <= Y <= B(2)
A(3) <= Z <= B(3)
The information on this web page is distributed under the MIT license.
cube_felippa_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_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;