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<div class="titlepage"><div><div><h3 class="title">
<a name="boost_sandbox_numeric_odeint.concepts.system"></a><a class="link" href="system.html" title="System">System</a>
</h3></div></div></div>
<a name="boost_sandbox_numeric_odeint.concepts.system.description"></a><h5>
<a name="id609648"></a>
<a class="link" href="system.html#boost_sandbox_numeric_odeint.concepts.system.description">Description</a>
</h5>
<p>
The System concept models the algorithmic implementation of the rhs. of the
ODE <span class="emphasis"><em>x' = f(x,t)</em></span>. The only requirement for this concept
is that it should be callable with a specific parameter syntax (see below).
A System is typically implemented as a function or a functor. Systems fullfilling
this concept are required by all Runge-Kutta steppers as well as the Bulirsch-Stoer
steppers. However, symplectic and implicit steppers work with other system
concepts, see <a class="link" href="symplectic_system.html" title="Symplectic_System">Symplectic_System</a>
and <a class="link" href="implicit_system.html" title="Implicit_System">Implicit_System</a>.
</p>
<a name="boost_sandbox_numeric_odeint.concepts.system.notation"></a><h5>
<a name="id609694"></a>
<a class="link" href="system.html#boost_sandbox_numeric_odeint.concepts.system.notation">Notation</a>
</h5>
<div class="variablelist">
<p class="title"><b></b></p>
<dl>
<dt><span class="term"><code class="computeroutput"><span class="identifier">System</span></code></span></dt>
<dd><p>
A type that is a model of System
</p></dd>
<dt><span class="term"><code class="computeroutput"><span class="identifier">State</span></code></span></dt>
<dd><p>
A type representing the state <span class="emphasis"><em>x</em></span> of the ODE
</p></dd>
<dt><span class="term"><code class="computeroutput"><span class="identifier">Deriv</span></code></span></dt>
<dd><p>
A type representing the derivative <span class="emphasis"><em>x'</em></span> of the ODE
</p></dd>
<dt><span class="term"><code class="computeroutput"><span class="identifier">Time</span></code></span></dt>
<dd><p>
A type representing the time
</p></dd>
<dt><span class="term"><code class="computeroutput"><span class="identifier">sys</span></code></span></dt>
<dd><p>
An object of type <code class="computeroutput"><span class="identifier">System</span></code>
</p></dd>
<dt><span class="term"><code class="computeroutput"><span class="identifier">x</span></code></span></dt>
<dd><p>
Object of type <code class="computeroutput"><span class="identifier">State</span></code>
</p></dd>
<dt><span class="term"><code class="computeroutput"><span class="identifier">dxdt</span></code></span></dt>
<dd><p>
Object of type <code class="computeroutput"><span class="identifier">Deriv</span></code>
</p></dd>
<dt><span class="term"><code class="computeroutput"><span class="identifier">t</span></code></span></dt>
<dd><p>
Object of type <code class="computeroutput"><span class="identifier">Time</span></code>
</p></dd>
</dl>
</div>
<a name="boost_sandbox_numeric_odeint.concepts.system.valid_expressions"></a><h5>
<a name="id609939"></a>
<a class="link" href="system.html#boost_sandbox_numeric_odeint.concepts.system.valid_expressions">Valid
expressions</a>
</h5>
<div class="informaltable"><table class="table">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
Name
</p>
</th>
<th>
<p>
Expression
</p>
</th>
<th>
<p>
Type
</p>
</th>
<th>
<p>
Semantics
</p>
</th>
</tr></thead>
<tbody><tr>
<td>
<p>
Calculate <span class="emphasis"><em>dx/dt := f(x,t)</em></span>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="identifier">sys</span><span class="special">(</span>
<span class="identifier">x</span> <span class="special">,</span>
<span class="identifier">dxdt</span> <span class="special">,</span>
<span class="identifier">t</span> <span class="special">)</span></code>
</p>
</td>
<td>
<p>
<code class="computeroutput"><span class="keyword">void</span></code>
</p>
</td>
<td>
<p>
Calculates f(x,t), the result is stored into dxdt
</p>
</td>
</tr></tbody>
</table></div>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2009 -2011 Karsten Ahnert and Mario Mulansky<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
</div></td>
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