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- <div class="titlepage"><div><div><h3 class="title">
- <a name="boost_numeric_odeint.concepts.system"></a><a class="link" href="system.html" title="System">System</a>
- </h3></div></div></div>
- <h5>
- <a name="boost_numeric_odeint.concepts.system.h0"></a>
- <span class="phrase"><a name="boost_numeric_odeint.concepts.system.description"></a></span><a class="link" href="system.html#boost_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 fulfilling
- 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>
- <h5>
- <a name="boost_numeric_odeint.concepts.system.h1"></a>
- <span class="phrase"><a name="boost_numeric_odeint.concepts.system.notation"></a></span><a class="link" href="system.html#boost_numeric_odeint.concepts.system.notation">Notation</a>
- </h5>
- <div class="variablelist">
- <p class="title"><b></b></p>
- <dl class="variablelist">
- <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>
- <h5>
- <a name="boost_numeric_odeint.concepts.system.h2"></a>
- <span class="phrase"><a name="boost_numeric_odeint.concepts.system.valid_expressions"></a></span><a class="link" href="system.html#boost_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 © 2009-2015 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>
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