square_felippa_rule, a MATLAB code which generates the points and weights of a Felippa quadrature rule over the interior of a square in 2D.
Actually, the word "square" is meant to designate any quadrature region defined by:
A(1) <= X <= B(1) A(2) <= Y <= B(2)
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
square_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.
circle_rule, a MATLAB code which computes quadrature rules over the circumference of a circle in 2d.
cube_arbq_rule, a MATLAB code which computes quadrature rules with exactness up to total degree 15, over the interior of a cube in 3d.
cube_felippa_rule, a MATLAB code which returns felippa's quadratures rules for approximating integrals over the interior of a cube in 3d.
disk_rule, a MATLAB code which computes quadrature rules over the interior of a 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 a pyramid in 3d.
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sphere_lebedev_rule, a MATLAB code which computes lebedev quadrature rules on the surface of the unit sphere in 3d.
square_arbq_rule, a MATLAB code which returns quadrature rules, with exactness up to total degree 20, over the interior of the symmetric square in 2d, by hong xiao and zydrunas gimbutas.
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square_grid, a MATLAB code which computes a grid of points over the interior of a cube in 3d.
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square_monte_carlo, a MATLAB code which applies a monte carlo method to estimate the integral of a function over the interior of the unit cube in 3d;
square_symq_rule, a MATLAB code which returns symmetric quadrature rules, with exactness up to total degree 20, over the interior of the symmetric square in 2d, by hong xiao and zydrunas gimbutas.
tetrahedron_arbq_rule, a MATLAB code which returns quadrature rules, with exactness up to total degree 15, over the interior of a tetrahedron in 3d, by hong xiao and zydrunas gimbutas.
tetrahedron_felippa_rule, a MATLAB code which returns felippa's quadratures rules for approximating integrals over the interior of a tetrahedron in 3d.
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tetrahedron_ncc_rule, a MATLAB code which defines newton-cotes closed quadrature rules over the interior of a tetrahedron in 3d.
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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_symq_rule, a MATLAB code 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.
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