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6.9 KiB
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<html>
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<head>
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<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
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<title>System</title>
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<link rel="stylesheet" href="../../boostbook.css" type="text/css">
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<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
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<link rel="home" href="../../index.html" title="Chapter 1. Boost.Numeric.Odeint">
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<link rel="up" href="../concepts.html" title="Concepts">
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<link rel="prev" href="../concepts.html" title="Concepts">
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<link rel="next" href="symplectic_system.html" title="Symplectic System">
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<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
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<table cellpadding="2" width="100%"><tr><td valign="top"></td></tr></table>
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<a accesskey="p" href="../concepts.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../concepts.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="symplectic_system.html"><img src="../../images/next.png" alt="Next"></a>
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</div>
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<div class="section">
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<div class="titlepage"><div><div><h3 class="title">
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<a name="boost_numeric_odeint.concepts.system"></a><a class="link" href="system.html" title="System">System</a>
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</h3></div></div></div>
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<h5>
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<a name="boost_numeric_odeint.concepts.system.h0"></a>
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<span><a name="boost_numeric_odeint.concepts.system.description"></a></span><a class="link" href="system.html#boost_numeric_odeint.concepts.system.description">Description</a>
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</h5>
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<p>
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The System concept models the algorithmic implementation of the rhs. of the
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ODE <span class="emphasis"><em>x' = f(x,t)</em></span>. The only requirement for this concept
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is that it should be callable with a specific parameter syntax (see below).
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A System is typically implemented as a function or a functor. Systems fulfilling
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this concept are required by all Runge-Kutta steppers as well as the Bulirsch-Stoer
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steppers. However, symplectic and implicit steppers work with other system
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concepts, see <a class="link" href="symplectic_system.html" title="Symplectic System">Symplectic
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System</a> and <a class="link" href="implicit_system.html" title="Implicit System">Implicit
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System</a>.
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</p>
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<h5>
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<a name="boost_numeric_odeint.concepts.system.h1"></a>
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<span><a name="boost_numeric_odeint.concepts.system.notation"></a></span><a class="link" href="system.html#boost_numeric_odeint.concepts.system.notation">Notation</a>
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</h5>
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<div class="variablelist">
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<p class="title"><b></b></p>
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<dl>
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<dt><span class="term"><code class="computeroutput"><span class="identifier">System</span></code></span></dt>
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<dd><p>
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A type that is a model of System
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</p></dd>
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<dt><span class="term"><code class="computeroutput"><span class="identifier">State</span></code></span></dt>
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<dd><p>
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A type representing the state <span class="emphasis"><em>x</em></span> of the ODE
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</p></dd>
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<dt><span class="term"><code class="computeroutput"><span class="identifier">Deriv</span></code></span></dt>
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<dd><p>
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A type representing the derivative <span class="emphasis"><em>x'</em></span> of the ODE
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</p></dd>
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<dt><span class="term"><code class="computeroutput"><span class="identifier">Time</span></code></span></dt>
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<dd><p>
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A type representing the time
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</p></dd>
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<dt><span class="term"><code class="computeroutput"><span class="identifier">sys</span></code></span></dt>
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<dd><p>
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An object of type <code class="computeroutput"><span class="identifier">System</span></code>
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</p></dd>
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<dt><span class="term"><code class="computeroutput"><span class="identifier">x</span></code></span></dt>
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<dd><p>
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Object of type <code class="computeroutput"><span class="identifier">State</span></code>
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</p></dd>
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<dt><span class="term"><code class="computeroutput"><span class="identifier">dxdt</span></code></span></dt>
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<dd><p>
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Object of type <code class="computeroutput"><span class="identifier">Deriv</span></code>
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</p></dd>
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<dt><span class="term"><code class="computeroutput"><span class="identifier">t</span></code></span></dt>
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<dd><p>
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Object of type <code class="computeroutput"><span class="identifier">Time</span></code>
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</p></dd>
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</dl>
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</div>
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<h5>
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<a name="boost_numeric_odeint.concepts.system.h2"></a>
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<span><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>
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</h5>
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<div class="informaltable"><table class="table">
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<colgroup>
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<col>
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<col>
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<col>
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<col>
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</colgroup>
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<thead><tr>
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<th>
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<p>
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Name
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</p>
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</th>
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<th>
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<p>
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Expression
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</p>
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</th>
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<th>
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<p>
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Type
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</p>
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</th>
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<th>
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<p>
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Semantics
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</p>
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</th>
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</tr></thead>
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<tbody><tr>
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<td>
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<p>
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Calculate <span class="emphasis"><em>dx/dt := f(x,t)</em></span>
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</p>
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</td>
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<td>
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<p>
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<code class="computeroutput"><span class="identifier">sys</span><span class="special">(</span>
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<span class="identifier">x</span> <span class="special">,</span>
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<span class="identifier">dxdt</span> <span class="special">,</span>
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<span class="identifier">t</span> <span class="special">)</span></code>
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</p>
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</td>
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<td>
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<p>
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<code class="computeroutput"><span class="keyword">void</span></code>
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</p>
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</td>
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<td>
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<p>
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Calculates f(x,t), the result is stored into dxdt
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</p>
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</td>
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</tr></tbody>
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</table></div>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="left"></td>
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<td align="right"><div class="copyright-footer">Copyright © 2009-2011 Karsten Ahnert
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and Mario Mulansky<p>
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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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>)
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</p>
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</div></td>
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</tr></table>
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<hr>
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<div class="spirit-nav">
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<a accesskey="p" href="../concepts.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../concepts.html"><img src="../../images/up.png" alt="Up"></a><a accesskey="h" href="../../index.html"><img src="../../images/home.png" alt="Home"></a><a accesskey="n" href="symplectic_system.html"><img src="../../images/next.png" alt="Next"></a>
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