LINE_NCO_RULE, a C++ library 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.
LINE_FEKETE_RULE, a C++ 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 C++ library which returns the points and weights of a Felippa quadrature rule over the interior of a line segment in 1D.
LINE_GRID, a C++ library which computes a grid of points over the interior of a line segment in 1D.
LINE_INTEGRALS, a C++ 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 C++ 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 C++ library which defines a Newton Cotes Closed (NCC) rule using equally spaced points over the interior of a line segment in 1D.
TRIANGLE_FEKETE_RULE, a C++ library which defines Fekete rules for interpolation or quadrature over the interior of a triangle in 2D.
TRIANGLE_FELIPPA_RULE, a C++ library which returns Felippa's quadratures rules for approximating integrals over the interior of a triangle in 2D.
WEDGE_FELIPPA_RULE, a C++ library which returns quadratures rules for approximating integrals over the interior of the unit wedge in 3D.