wedge_felippa_rule, a MATLAB code which generates quadrature rules to estimate integrals 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
The computer code and data files described and made available on this web page are distributed under the MIT license
wedge_felippa_rule is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
annulus_rule, a MATLAB code which computes a quadrature rule for estimating integrals of a function over the interior of a circular annulus in 2D.
cube_felippa_rule, a MATLAB code which returns the points and weights of a Felippa quadrature rule over the interior of a cube in 3D.
disk_rule, a MATLAB code which computes quadrature rules over the interior of the unit disk in 2D.
pyramid_felippa_rule, a MATLAB code which returns Felippa's quadratures rules for approximating integrals over the interior of a pyramid in 3D.
pyramid_rule, a MATLAB code which computes a quadrature rule over the interior of the pyramid in 3D.
simplex_gm_rule, a MATLAB code which defines Grundmann-Moeller quadrature rules over the interior of a simplex in M dimensions.
square_felippa_rule, a MATLAB code which returns the points and weights of a Felippa quadrature rule over the interior of a square in 2D.
stroud, a MATLAB code which defines quadrature rules for a variety of unusual areas, surfaces and volumes in 2D, 3D and M-dimensions.
tetrahedron_felippa_rule, a MATLAB code which returns Felippa's quadratures rules for approximating integrals over the interior of a tetrahedron in 3D.
tetrahedron_keast_rule, a MATLAB code which defines ten quadrature rules, with exactness degrees 0 through 8, over the interior of a tetrahedron in 3D.
tetrahedron_ncc_rule, a MATLAB code which defines Newton-Cotes Closed (NCC) quadrature rules over the interior of a tetrahedron in 3D.
tetrahedron_nco_rule, a MATLAB code which defines Newton-Cotes Open (NCO) quadrature rules over the interior of a tetrahedron in 3D.
triangle_dunavant_rule, a MATLAB code which sets up a Dunavant quadrature rule over the interior of a triangle in 2D.
triangle_fekete_rule, a MATLAB code which defines Fekete rules for quadrature or interpolation over the interior of a triangle in 2D.
triangle_felippa_rule, a MATLAB code which returns Felippa's quadratures rules for approximating integrals over the interior of a triangle in 2D.
triangle_lyness_rule, a MATLAB code which returns Lyness-Jespersen quadrature rules over the interior of a triangle in 2D.
triangle_ncc_rule, a MATLAB code which defines Newton-Cotes Closed (NCC) quadrature rules over the interior of a triangle in 2D.
triangle_nco_rule, a MATLAB code which defines Newton-Cotes Open (NCO) quadrature rules over the interior of a triangle in 2D.
triangle_wandzura_rule, a MATLAB code which defines Wandzura rules for quadrature over the interior of a triangle in 2D.
wedge_exactness, a MATLAB code which investigates the monomial exactness of a quadrature rule over the interior of the unit wedge in 3D.
wedge_integrals, a MATLAB 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 MATLAB code which uses the Monte Carlo method to estimate the value of an integral over the interior of a wedge in 3D.