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LINE_NCC_RULE\ Newton Cotes Closed (NCC) Quadrature Rules for the Interval {#line_ncc_rule-newton-cotes-closed-ncc-quadrature-rules-for-the-interval align=”center”} ===========================================================

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LINE_NCC_RULE is a C++ library which computes a Newton Cotes Closed (NCC) quadrature rule using equally spaced points over the interior of a line segment in 1D.

Licensing: {#licensing align=”center”}

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages: {#languages align=”center”}

LINE_NCC_RULE is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs: {#related-data-and-programs align=”center”}

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_NCO_RULE, a C++ library 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++ 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.

Reference: {#reference align=”center”}

1. Philip Davis, Philip Rabinowitz,\ Methods of Numerical Integration,\ Second Edition,\ Dover, 2007,\ ISBN: 0486453391,\ LC: QA299.3.D28.

Source Code: {#source-code align=”center”}

• line_ncc_rule.cpp, the source code.
• line_ncc_rule.hpp, the source code.

Examples and Tests: {#examples-and-tests align=”center”}

• line_ncc_rule_prb.cpp, a sample calling program.
• line_ncc_rule_prb_output.txt, the output file.

List of Routines: {#list-of-routines align=”center”}

• LINE_NCC_RULE computes a Newton-Cotes Closed (NCC) quadrature rule.
• R8VEC_LINSPACE creates a vector of linearly spaced values.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the C++ source codes.

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Last revised on 11 April 2014.