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<html>
<head>
<title>
LINE_NCC_RULE - Newton Cotes Closed (NCC) Quadrature Rules for the Interval
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
LINE_NCC_RULE <br> Newton Cotes Closed (NCC) Quadrature Rules for the Interval
</h1>
<hr>
<p>
<b>LINE_NCC_RULE</b>
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.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this
web page are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>LINE_NCC_RULE</b> is available in
<a href = "../../c_src/line_ncc_rule/line_ncc_rule.html">a C version</a> and
<a href = "../../cpp_src/line_ncc_rule/line_ncc_rule.html">a C++ version</a> and
<a href = "../../f77_src/line_ncc_rule/line_ncc_rule.html">a FORTRAN77 version</a> and
<a href = "../../f_src/line_ncc_rule/line_ncc_rule.html">a FORTRAN90 version</a> and
<a href = "../../m_src/line_ncc_rule/line_ncc_rule.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/line_fekete_rule/line_fekete_rule.html">
LINE_FEKETE_RULE</a>,
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.
</p>
<p>
<a href = "../../cpp_src/line_felippa_rule/line_felippa_rule.html">
LINE_FELIPPA_RULE</a>,
a C++ library which
returns the points and weights of a Felippa quadrature rule
over the interior of a line segment in 1D.
</p>
<p>
<a href = "../../cpp_src/line_grid/line_grid.html">
LINE_GRID</a>,
a C++ library which
computes a grid of points
over the interior of a line segment in 1D.
</p>
<p>
<a href = "../../cpp_src/line_integrals/line_integrals.html">
LINE_INTEGRALS</a>,
a C++ library which
returns the exact value of the integral of any monomial
over the length of the unit line in 1D.
</p>
<p>
<a href = "../../cpp_src/line_monte_carlo/line_monte_carlo.html">
LINE_MONTE_CARLO</a>,
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;
</p>
<p>
<a href = "../../cpp_src/line_nco_rule/line_nco_rule.html">
LINE_NCO_RULE</a>,
a C++ library which
defines a Newton Cotes Open (NCO) rule using equally spaced points
over the interior of a line segment in 1D.
</p>
<p>
<a href = "../../cpp_src/triangle_fekete_rule/triangle_fekete_rule.html">
TRIANGLE_FEKETE_RULE</a>,
a C++ library which
defines Fekete rules for interpolation or quadrature
over the interior of a triangle in 2D.
</p>
<p>
<a href = "../../cpp_src/triangle_felippa_rule/triangle_felippa_rule.html">
TRIANGLE_FELIPPA_RULE</a>,
a C++ library which
returns Felippa's quadratures rules for approximating integrals
over the interior of a triangle in 2D.
</p>
<p>
<a href = "../../cpp_src/wedge_felippa_rule/wedge_felippa_rule.html">
WEDGE_FELIPPA_RULE</a>,
a C++ library which
returns quadratures rules for approximating integrals
over the interior of the unit wedge in 3D.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Philip Davis, Philip Rabinowitz,<br>
Methods of Numerical Integration,<br>
Second Edition,<br>
Dover, 2007,<br>
ISBN: 0486453391,<br>
LC: QA299.3.D28.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "line_ncc_rule.cpp">line_ncc_rule.cpp</a>, the source code.
</li>
<li>
<a href = "line_ncc_rule.hpp">line_ncc_rule.hpp</a>, the source code.
</li>
<li>
<a href = "line_ncc_rule.sh">line_ncc_rule.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "line_ncc_rule_prb.cpp">line_ncc_rule_prb.cpp</a>,
a sample calling program.
</li>
<li>
<a href = "line_ncc_rule_prb.sh">line_ncc_rule_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "line_ncc_rule_prb_output.txt">line_ncc_rule_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>LINE_NCC_RULE</b> computes a Newton-Cotes Closed (NCC) quadrature rule.
</li>
<li>
<b>R8VEC_LINSPACE</b> creates a vector of linearly spaced values.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 11 April 2014.
</i>
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