line_nco_rule, a MATLAB code which computes a Newton Cotes Open (NCO) quadrature rule using equally spaced points over the interior of a line segment in 1D.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
line_nco_rule is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
ccn_rule, a MATLAB code which defines a nested Clenshaw Curtis quadrature rule.
chebyshev1_rule, a MATLAB code which computes and prints a Gauss-Chebyshev type 1 quadrature rule.
chebyshev2_rule, a MATLAB code which computes and prints a Gauss-Chebyshev type 2 quadrature rule.
clenshaw_curtis_rule, a MATLAB code which defines a Clenshaw Curtis quadrature rule.
legendre_rule, a MATLAB code which computes a 1D Gauss-Legendre quadrature rule.
line_felippa_rule, a MATLAB code which returns the points and weights of a Felippa quadrature rule over the interior of a line segment in 1D.
line_grid, a MATLAB code which computes a grid of points over the interior of a line segment in 1D.
line_integrals, a MATLAB code which returns the exact value of the integral of any monomial over the length of the unit line in 1D.
line_monte_carlo, a MATLAB code which applies a Monte Carlo method to estimate the integral of a function over the length of the unit line in 1D;
line_ncc_rule, a MATLAB code which computes a Newton Cotes Closed (NCC) quadrature rule using equally spaced points over the interior of a line segment in 1D.
patterson_rule, a MATLAB code which returns the points and weights of a 1D Gauss-Patterson quadrature rule of order 1, 3, 7, 15, 31, 63, 127, 255 or 511.
tetrahedron_nco_rule, a MATLAB code which defines Newton-Cotes Open (NCO) quadrature rules over the interior of a tetrahedron in 3D.
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_nco_rule, a MATLAB code which defines Newton-Cotes Open (NCO) quadrature rules over the interior of a triangle in 2D.
wedge_felippa_rule, a MATLAB code which returns quadratures rules for approximating integrals over the interior of the unit wedge in 3D.