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<html>
<head>
<title>
ODE - Shampine and Gordon ODE Solver
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
ODE <br> Shampine and Gordon ODE Solver
</h1>
<hr>
<p>
<b>ODE</b>
is a FORTRAN90 library which
solves a system of ordinary differential equations,
by Shampine and Gordon.
</p>
<p>
Given a system of ordinary differential equations of the form
<pre>
Y' = F(T,Y)
Y(T0) = Y0
</pre>
this program produces a sequence of approximate solution values
Y(TOUT) at later times TOUT.
</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>ODE</b> is available in
<a href = "../../c_src/ode/ode.html">a C version</a> and
<a href = "../../cpp_src/ode/ode.html">a C++ version</a> and
<a href = "../../f77_src/ode/ode.html">a FORTRAN77 version</a> and
<a href = "../../f_src/ode/ode.html">a FORTRAN90 version.</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/nms/nms.html">
NMS</a>,
a FORTRAN90 library which
includes the <b>ddriv</b> package of ODE solvers.
</p>
<p>
<a href = "../../f77_src/odepack/odepack.html">
ODEPACK</a>,
a FORTRAN77 library which
contains nine ODE solvers, including LSODE, LSODES, LSODA,
LSODAR, LSODPK, LSODKR, LSODI, LSOIBT, and LSODIS,
by Alan Hindmarsh.
</p>
<p>
<a href = "../../f_src/rk4/rk4.html">
RK4</a>,
a FORTRAN90 library which
applies the fourth order Runge-Kutta algorithm to estimate the
solution of an ordinary differential equation at the next time step.
</p>
<p>
<a href = "../../f_src/rkf45/rkf45.html">
RKF45</a>,
a FORTRAN90 library which
implements the Runge-Kutta-Fehlberg ODE solver.
</p>
<p>
<a href = "../../f_src/test_ode/test_ode.html">
TEST_ODE</a>,
a FORTRAN90 library which
defines test problems for ODE solvers.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Lawrence Shampine, Marilyn Gordon.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Lawrence Shampine, Marilyn Gordon,<br>
Computer Solution of Ordinary Differential Equations:
The Initial Value Problem,<br>
Freeman, 1975,<br>
ISBN: 0716704617,<br>
LC: QA372.S416.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "ode.f90">ode.f90</a>, the source code.
</li>
<li>
<a href = "ode.sh">ode.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "ode_prb.f90">ode_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "ode_prb.sh">ode_prb.sh</a>,
commands to compile and run the sample program.
</li>
<li>
<a href = "ode_prb_output.txt">ode_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>ODE</b> is the user interface to an ordinary differential equation solver.
</li>
<li>
<b>DE</b> carries out the ODE solution algorithm.
</li>
<li>
<b>STEP</b> integrates the system of ODE's one step, from X to X+H.
</li>
<li>
<b>INTRP</b> approximates the solution at XOUT by polynomial interpolation.
</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 = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 15 March 2005.
</i>
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