line_ncc_rule, a C++ code which computes a Newton Cotes Closed (NCC) 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_ncc_rule is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
line_fekete_rule, a C++ 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 C++ code which returns the points and weights of a Felippa quadrature rule over the interior of a line segment in 1D.
LINE_GRID, a C++ code which computes a grid of points over the interior of a line segment in 1D.
LINE_INTEGRALS, a C++ 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 C++ code which applies a Monte Carlo method to estimate the integral of a function over the length of the unit line in 1D;
LINE_NCO_RULE, a C++ code which defines a Newton Cotes Open (NCO) rule using equally spaced points over the interior of a line segment in 1D.
TRIANGLE_FEKETE_RULE, a C++ code which defines Fekete rules for interpolation or quadrature over the interior of a triangle in 2D.
TRIANGLE_FELIPPA_RULE, a C++ code which returns Felippa's quadratures rules for approximating integrals over the interior of a triangle in 2D.
WEDGE_FELIPPA_RULE, a C++ code which returns quadratures rules for approximating integrals over the interior of the unit wedge in 3D.