wedge_exactness, a FORTRAN90 code which measures the precision of a quadrature rule over the interior of the unit wedge in 3D.
The interior of the unit wedge in 3D is defined by the constraints:
0 <= X 0 <= Y X + Y <= 1 -1 <= Z <= +1
wedge_exactness filename degree_maxwhere
The computer code and data files described and made available on this web page are distributed under the MIT license
wedge_exactness is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
cube_exactness, a FORTRAN90 code which investigates the polynomial exactness of quadrature rules over the interior of a cube in 3D.
HYPERCUBE_EXACTNESS, a FORTRAN90 code which measures the monomial exactness of an M-dimensional quadrature rule over the interior of the unit hypercube in M dimensions.
PYRAMID_EXACTNESS, a FORTRAN90 code which investigates the polynomial exactness of a quadrature rule over the interior of the unit pyramid in 3D.
SPHERE_EXACTNESS, a FORTRAN90 code which tests the polynomial exactness of a quadrature rule over the surface of the unit sphere in 3D.
SQUARE_EXACTNESS, a FORTRAN90 code which investigates the polynomial exactness of quadrature rules for f(x,y) over the interior of a rectangle in 2D.
TETRAHEDRON_EXACTNESS, a FORTRAN90 code which investigates the polynomial exactness of a quadrature rule over the interior of a tetrahedron in 3D.
TRIANGLE_EXACTNESS, a FORTRAN90 code which investigates the polynomial exactness of a quadrature rule over the interior of a triangle in 2D.
WEDGE_FELIPPA_RULE, a FORTRAN90 code which returns quadratures rules for approximating integrals over the interior of the unit wedge in 3D.
WEDGE_GRID, a FORTRAN90 code which computes a grid of points over the interior of the unit wedge in 3D.
WEDGE_INTEGRALS, a FORTRAN90 code which returns the exact value of the integral of any monomial over the interior of the unit wedge in 3D.
WEDGE_MONTE_CARLO, a FORTRAN90 code which uses the Monte Carlo method to estimate integrals over the interior of the unit wedge in 3D.