2012-06-26 07:09:51 +02:00

90 lines
4.3 KiB
HTML

<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII">
<title>References</title>
<link rel="stylesheet" href="../../boostbook.css" type="text/css">
<meta name="generator" content="DocBook XSL Stylesheets V1.75.2">
<link rel="home" href="../../index.html" title="Chapter&#160;1.&#160;Boost.Numeric.Odeint">
<link rel="up" href="../tutorial.html" title="Tutorial">
<link rel="prev" href="all_examples.html" title="All examples">
<link rel="next" href="../odeint_in_detail.html" title="odeint in detail">
</head>
<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF">
<table cellpadding="2" width="100%"><tr><td valign="top"></td></tr></table>
<hr>
<div class="spirit-nav">
<a accesskey="p" href="all_examples.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tutorial.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="../odeint_in_detail.html"><img src="../../images/next.png" alt="Next"></a>
</div>
<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numeric_odeint.tutorial.references"></a><a class="link" href="references.html" title="References">References</a>
</h3></div></div></div>
<p>
<span class="bold"><strong>General information about numerical integration of
ordinary differential equations:</strong></span>
</p>
<p>
[1] Press William H et al., Numerical Recipes 3rd Edition: The Art of Scientific
Computing, 3rd ed. (Cambridge University Press, 2007).
</p>
<p>
[2] Ernst Hairer, Syvert P. N&#248;rsett, and Gerhard Wanner, Solving Ordinary
Differential Equations I: Nonstiff Problems, 2nd ed. (Springer, Berlin, 2009).
</p>
<p>
[3] Ernst Hairer and Gerhard Wanner, Solving Ordinary Differential Equations
II: Stiff and Differential-Algebraic Problems, 2nd ed. (Springer, Berlin,
2010).
</p>
<p>
<span class="bold"><strong>Symplectic integration of numerical integration:</strong></span>
</p>
<p>
[4] Ernst Hairer, Gerhard Wanner, and Christian Lubich, Geometric Numerical
Integration: Structure-Preserving Algorithms for Ordinary Differential Equations,
2nd ed. (Springer-Verlag Gmbh, 2006).
</p>
<p>
[5] Leimkuhler Benedict and Reich Sebastian, Simulating Hamiltonian Dynamics
(Cambridge University Press, 2005).
</p>
<p>
<span class="bold"><strong>Special symplectic methods:</strong></span>
</p>
<p>
[6] Haruo Yoshida, &#8220;Construction of higher order symplectic integrators,&#8221;
Physics Letters A 150, no. 5 (November 12, 1990): 262-268.
</p>
<p>
[7] Robert I. McLachlan, &#8220;On the numerical integration of ordinary differential
equations by symmetric composition methods,&#8221; SIAM J. Sci. Comput. 16, no.
1 (1995): 151-168.
</p>
<p>
<span class="bold"><strong>Special systems:</strong></span>
</p>
<p>
[8] <a href="http://www.scholarpedia.org/article/Fermi-Pasta-Ulam_nonlinear_lattice_oscillations" target="_top">Fermi-Pasta-Ulam
nonlinear lattice oscillations</a>
</p>
<p>
[9] Arkady Pikovsky, Michael Rosemblum, and J&#252;rgen Kurths, Synchronization:
A Universal Concept in Nonlinear Sciences. (Cambridge University Press, 2001).
</p>
</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 &#169; 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>
</tr></table>
<hr>
<div class="spirit-nav">
<a accesskey="p" href="all_examples.html"><img src="../../images/prev.png" alt="Prev"></a><a accesskey="u" href="../tutorial.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="../odeint_in_detail.html"><img src="../../images/next.png" alt="Next"></a>
</div>
</body>
</html>