1<html> 2<head> 3<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> 4<title>Literature</title> 5<link rel="stylesheet" href="../../../../../../doc/src/boostbook.css" type="text/css"> 6<meta name="generator" content="DocBook XSL Stylesheets V1.79.1"> 7<link rel="home" href="../index.html" title="Chapter 1. Boost.Numeric.Odeint"> 8<link rel="up" href="../index.html" title="Chapter 1. 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(Cambridge University 36 Press, 2007). 37 </p> 38<p> 39 <a name="hairer_solving_odes_1"></a>[2] Ernst Hairer, Syvert P. Nørsett, and 40 Gerhard Wanner, Solving Ordinary Differential Equations I: Nonstiff Problems, 41 2nd ed. (Springer, Berlin, 2009). 42 </p> 43<p> 44 <a name="hairer_solving_odes_2"></a>[3] Ernst Hairer and Gerhard Wanner, Solving 45 Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, 46 2nd ed. (Springer, Berlin, 2010). 47 </p> 48<p> 49 <span class="bold"><strong>Symplectic integration of numerical integration:</strong></span> 50 </p> 51<p> 52 <a name="hairer_geometrical_numeric_integration"></a>[4] Ernst Hairer, Gerhard 53 Wanner, and Christian Lubich, Geometric Numerical Integration: Structure-Preserving 54 Algorithms for Ordinary Differential Equations, 2nd ed. (Springer-Verlag Gmbh, 55 2006). 56 </p> 57<p> 58 <a name="leimkuhler_reich_simulating_hamiltonian_dynamics"></a>[5] Leimkuhler 59 Benedict and Reich Sebastian, Simulating Hamiltonian Dynamics (Cambridge University 60 Press, 2005). 61 </p> 62<p> 63 <span class="bold"><strong>Special symplectic methods:</strong></span> 64 </p> 65<p> 66 <a name="symplectic_yoshida_symplectic_integrators"></a>[6] Haruo Yoshida, 67 “Construction of higher order symplectic integrators,” Physics Letters 68 A 150, no. 5 (November 12, 1990): 262-268. 69 </p> 70<p> 71 <a name="symplectic_mylachlan_symmetric_composition_mehtods"></a>[7] Robert 72 I. McLachlan, “On the numerical integration of ordinary differential equations 73 by symmetric composition methods,” SIAM J. Sci. Comput. 16, no. 1 (1995): 74 151-168. 75 </p> 76<p> 77 <span class="bold"><strong>Special systems:</strong></span> 78 </p> 79<p> 80 <a name="fpu_scholarpedia"></a>[8] <a href="http://www.scholarpedia.org/article/Fermi-Pasta-Ulam_nonlinear_lattice_oscillations" target="_top">Fermi-Pasta-Ulam 81 nonlinear lattice oscillations</a> 82 </p> 83<p> 84 <a name="synchronization_pikovsky_rosenblum"></a>[9] Arkady Pikovsky, Michael 85 Rosemblum, and Jürgen Kurths, Synchronization: A Universal Concept in Nonlinear 86 Sciences. (Cambridge University Press, 2001). 87 </p> 88</div> 89<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> 90<td align="left"></td> 91<td align="right"><div class="copyright-footer">Copyright © 2009-2015 Karsten Ahnert and Mario Mulansky<p> 92 Distributed under the Boost Software License, Version 1.0. (See accompanying 93 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>) 94 </p> 95</div></td> 96</tr></table> 97<hr> 98<div class="spirit-nav"> 99<a accesskey="p" href="concepts/state_wrapper.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="acknowledgments.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a> 100</div> 101</body> 102</html> 103
