wedge_exactness, a Python 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 GNU LGPL license.
wedge_exactness is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
cube_exactness, a Python code which investigates the polynomial exactness of quadrature rules over the interior of a cube in 3D.
hypercube_exactness, a Python 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 Python code which investigates the polynomial exactness of a quadrature rule over the interior of the unit pyramid in 3D.
sphere_exactness, a Python code which tests the polynomial exactness of a quadrature rule over the surface of the unit sphere in 3D.
square_exactness, a Python code which investigates the polynomial exactness of quadrature rules for f(x,y) over the interior of a rectangle in 2D.
tetrahedron_exactness, a Python code which investigates the polynomial exactness of a quadrature rule over the interior of a tetrahedron in 3D.
triangle_exactness, a Python code which investigates the polynomial exactness of a quadrature rule over the interior of a triangle in 2D.
wedge_felippa_rule, a Python code which returns a Felippa quadrature rule for approximating integrals over the interior of the unit wedge in 3D.
wedge_grid, a Python code which computes a grid of points over the interior of the unit wedge in 3D.
wedge_integrals, a Python 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 Python code which uses the Monte Carlo method to estimate integrals over the interior of the unit wedge in 3D.
WEDGE_FELIPPA_3x2 is a quadrature rule based on a 3 point triangle rule and a 2 point Legendre rule for the line.