pyramid_felippa_rule, an Octave code which returns a Felippa quadrature rule over the interior of the unit pyramid in 3D.
The computer code and data files described and made available on this web page are distributed under the MIT license
pyramid_felippa_rule is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.
alpert_rule, an Octave code which sets up an Alpert quadrature rule for functions which are regular, log(x) singular, or 1/sqrt(x) singular.
annulus_rule, an Octave code which computes a quadrature rule for estimating integrals of a function over the interior of a circular annulus in 2d.
cube_felippa_rule, an Octave code which returns a Felippa quadrature rule over the interior of a cube in 3d.
disk_rule, an Octave code which computes quadrature rules over the interior of the unit disk in 2d.
hexagon_stroud_rule, an Octave code which computes one of four Stroud quadrature rules over the interior of the unit hexagon.
pyramid_exactness, an Octave code which investigates the monomial exactness of a quadrature rule over the interior of the unit pyramid in 3d.
pyramid_grid, an Octave code which computes a grid of points over the interior of the unit pyramid in 3d;
pyramid_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit pyramid in 3d.
pyramid_jaskowiec_rule, an Octave code which returns quadrature rules, with exactness up to total degree 20, over the interior of a pyramid in 3D, by Jan Jaskowiec, Natarajan Sukumar.
pyramid_monte_carlo, an Octave code which applies a Monte Carlo method to estimate integrals of a function over the interior of the unit pyramid in 3d;
pyramid_rule, an Octave code which computes a conical product quadrature rule over the interior of a unit pyramid in 3d.
pyramid_witherden_rule, an Octave code which returns a Witherden quadrature rule, with exactness up to total degree 10, over the interior of a pyramid in 3D.
simplex_gm_rule, an Octave code which defines Grundmann-Moeller quadrature rules over the interior of a triangle in 2d, a tetrahedron in 3d, or over the interior of the simplex in m dimensions.
square_felippa_rule, an Octave code which returns the points and weights of a felippa quadrature rule over the interior of a square in 2d.
stroud, an Octave code which defines quadrature rules for a variety of unusual areas, surfaces and volumes in 2d, 3d and m-dimensions.
tetrahedron_exactness, an Octave code which investigates the monomial exactness of a quadrature rule over the interior of a tetrahedron in 3d.
tetrahedron_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit tetrahedron in 3d.
tetrahedron_keast_rule, an Octave code which defines ten quadrature rules, with exactness degrees 0 through 8, over the interior of a tetrahedron in 3d.
tetrahedron_monte_carlo, an Octave code which uses the monte carlo method to estimate integrals over the interior of the unit tetrahedron in 3d.
tetrahedron_ncc_rule, an Octave code which defines newton-cotes closed (ncc) quadrature rules over the interior of a tetrahedron in 3d.
tetrahedron_nco_rule, an Octave code which defines newton-cotes open (nco) quadrature rules over the interior of a tetrahedron in 3d.
triangle_dunavant_rule, an Octave code which sets up a dunavant quadrature rule over the interior of a triangle in 2d.
triangle_fekete_rule, an Octave code which defines fekete rules for quadrature or interpolation over the interior of a triangle in 2d.
triangle_lyness_rule, an Octave code which returns lyness-jespersen quadrature rules over the interior of a triangle in 2d.
triangle_ncc_rule, an Octave code which defines newton-cotes closed (ncc) quadrature rules over the interior of a triangle in 2d.
triangle_nco_rule, an Octave code which defines newton-cotes open (nco) quadrature rules over the interior of a triangle in 2d.
triangle_wandzura_rule, an Octave code which defines wandzura rules for quadrature over the interior of a triangle in 2d.