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filon.html
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<html>
<head>
<title>
FILON - Quadrature for Oscillatory Integrands
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
FILON <br> Quadrature for Oscillatory Integrands
</h1>
<hr>
<p>
<b>FILON</b>
is a C++ library which
can approximate integrals in which the integrand includes an
oscillatory factor of sin(k*x) or cos(k*x).
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files 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>FILON</b> is available in
<a href = "../../c_src/filon/filon.html">a C version</a> and
<a href = "../../cpp_src/filon/filon.html">a C++ version</a> and
<a href = "../../f77_src/filon/filon.html">a FORTRAN77 version</a> and
<a href = "../../f_src/filon/filon.html">a FORTRAN90 version</a> and
<a href = "../../m_src/filon/filon.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/quadrule/quadrule.html">
QUADRULE</a>,
a C++ library which
defines quadrature rules for 1D domains.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Stephen Chase, Lloyd Fosdick,<br>
An Algorithm for Filon Quadrature,<br>
Communications of the Association for Computing Machinery,<br>
Volume 12, Number 8, August 1969, pages 453-457.
</li>
<li>
Stephen Chase, Lloyd Fosdick,<br>
Algorithm 353:
Filon Quadrature,<br>
Communications of the Association for Computing Machinery,<br>
Volume 12, Number 8, August 1969, pages 457-458.
</li>
<li>
Bo Einarsson,<br>
Algorithm 418:
Calculation of Fourier Integrals,<br>
Communications of the ACM,<br>
Volume 15, Number 1, January 1972, pages 47-48.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "filon.cpp">filon.cpp</a>, the source code.
</li>
<li>
<a href = "filon.hpp">filon.hpp</a>, the include file.
</li>
<li>
<a href = "filon.sh">filon.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "filon_prb.cpp">filon_prb.cpp</a>,
a sample calling program.
</li>
<li>
<a href = "filon_prb.sh">filon_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "filon_prb_output.txt">filon_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>FILON_FUN_COS</b> uses Filon's method on integrals with a cosine factor.
</li>
<li>
<b>FILON_TAB_COS</b> uses Filon's method on integrals with a cosine factor.
</li>
<li>
<b>FILON_FUN_SIN</b> uses Filon's method on integrals with a sine factor.
</li>
<li>
<b>FILON_TAB_SIN</b> uses Filon's method on integrals with a sine factor.
</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 20 May 2014.
</i>
<!-- John Burkardt -->
</body>
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</html>