line_nco_rule, a FORTRAN90 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 MIT 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.
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_FEKETE_RULE, a FORTRAN90 code 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 FORTRAN90 code which returns the points and weights of a Felippa quadrature rule 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.
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.
TETRAHEDRON_NCO_RULE, a FORTRAN90 code which defines Newton-Cotes Open (NCO) quadrature rules pver the interior of a tetrahedron in 3D.
TRIANGLE_NCO_RULE, a FORTRAN90 code which defines Newton-Cotes Closed quadrature rules over the interior of a triangle in 2D.