line_nco_rule, a FORTRAN77 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 and an Octave version.
line_fekete_rule, a FORTRAN77 library which approximates the location of Fekete points in an interval [A,B]. A family of sets of Fekete points, indexed by size N, represents an excellent choice for defining a polynomial interpolant.
line_felippa_rule, a FORTRAN77 library which returns the points and weights of a Felippa quadrature rule over the interior of a line segment in 1D.
LINE_GRID, a FORTRAN77 library which computes a grid of points over the interior of a line segment in 1D.
LINE_INTEGRALS, a FORTRAN77 library which returns the exact value of the integral of any monomial over the length of the unit line in 1D.
LINE_MONTE_CARLO, a FORTRAN77 library 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 FORTRAN90 library which defines a Newton Cotes Closed (NCC) rule using equally spaced points over the interior of a line segment in 1D.
PYRAMID_RULE, a FORTRAN77 program which computes a quadrature rule over the interior of the unit pyramid in 3D;
WEDGE_FELIPPA_RULE, a FORTRAN77 library which returns quadratures rules for approximating integrals over the interior of the unit wedge in 3D.