triangle_felippa_rule, a Fortran77 code which generates the points and weights of Felippa's quadrature rules over the interior of a triangle in 2D.
The computer code and data files described and made available on this web page are distributed under the MIT license
triangle_felippa_rule is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.
cube_felippa_rule, a Fortran77 library which returns the points and weights of a Felippa quadrature rule over the interior of a cube in 3D.
pyramid_felippa_rule, a Fortran77 library which returns Felippa's quadratures rules for approximating integrals over the interior of a pyramid in 3D.
square_felippa_rule, a Fortran77 library which returns the points and weights of a Felippa quadrature rule over the interior of a square in 2D.
TETRAHEDRON_FELIPPA_RULE, a Fortran77 library which returns Felippa's quadratures rules for approximating integrals over the interior of a tetrahedron in 3D.
TRIANGLE_EXACTNESS, a Fortran77 program which investigates the polynomial exactness of a quadrature rule over the interior of a triangle in 2D.
TRIANGLE_MONTE_CARLO, a Fortran77 program which uses the Monte Carlo method to estimate integrals over the interior of a triangle in 2D.
TRIANGLE_SVG, a Fortran77 library which uses Scalable Vector Graphics (SVG) to plot a triangle and any number of points, to illustrate quadrature rules and sampling techniques.
TRIANGLE_SYMQ_RULE, a Fortran77 library which returns efficient symmetric quadrature rules, with exactness up to total degree 50, over the interior of an arbitrary triangle in 2D, by Hong Xiao and Zydrunas Gimbutas.
WEDGE_FELIPPA_RULE, a Fortran77 library which returns quadratures rules for approximating integrals over the interior of the unit wedge in 3D.