line_felippa_rule, a FORTRAN90 code which generates the points and weights of a quadrature rule 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_felippa_rule is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.
CCN_RULE, a FORTRAN90 code which defines a nested Clenshaw Curtis quadrature rule.
CHEBYSHEV1_RULE, a FORTRAN90 code which computes and prints a Gauss-Chebyshev type 1 quadrature rule.
CHEBYSHEV2_RULE, a FORTRAN90 code which computes and prints a Gauss-Chebyshev type 2 quadrature rule.
CLENSHAW_CURTIS_RULE, a FORTRAN90 code which defines a Clenshaw Curtis quadrature rule.
LEGENDRE_RULE, a FORTRAN90 code which computes a 1D Gauss-Legendre quadrature rule.
LINE_CVT_LLOYD, a FORTRAN90 code which applies Lloyd's iteration repeatedly to a set of N points, to compute a Centroidal Voronoi Tessellation (CVT) over the interior of a line segment in 1D.
LINE_FEKETE_RULE, a FORTRAN90 code which estimates the location of N Fekete points, for polynomial interpolation or quadrature, over the interior of a line segment in 1D.
LINE_GRID, a FORTRAN90 code which computes a grid of points over the interior of a line segment in 1D.
LINE_INTEGRALS, a FORTRAN90 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 FORTRAN90 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 FORTRAN90 code which defines a Newton Cotes Closed (NCC) rule using equally spaced points over the interior of a line segment in 1D.
LINE_NCO_RULE, a FORTRAN90 code which defines a Newton Cotes Open (NCO) rule using equally spaced points over the interior of a line segment in 1D.
PATTERSON_RULE, a FORTRAN90 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.