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| <div class="section"> |
| <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 © 2009-2012 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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