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<div class="titlepage"><div><div><h2 class="title" style="clear: both">
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<a name="boost_numeric_odeint.literature"></a><a class="link" href="literature.html" title="Literature">Literature</a>
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</h2></div></div></div>
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<p>
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<span class="bold"><strong>General information about numerical integration of ordinary
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differential equations:</strong></span>
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</p>
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<p>
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<a name="numerical_recipies"></a>[1] Press William H et al., Numerical Recipes
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3rd Edition: The Art of Scientific Computing, 3rd ed. (Cambridge University
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Press, 2007).
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</p>
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<p>
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<a name="hairer_solving_odes_1"></a>[2] Ernst Hairer, Syvert P. Nørsett, and
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Gerhard Wanner, Solving Ordinary Differential Equations I: Nonstiff Problems,
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2nd ed. (Springer, Berlin, 2009).
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</p>
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<p>
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<a name="hairer_solving_odes_2"></a>[3] Ernst Hairer and Gerhard Wanner, Solving
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Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems,
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2nd ed. (Springer, Berlin, 2010).
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</p>
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<p>
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<span class="bold"><strong>Symplectic integration of numerical integration:</strong></span>
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</p>
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<p>
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<a name="hairer_geometrical_numeric_integration"></a>[4] Ernst Hairer, Gerhard
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Wanner, and Christian Lubich, Geometric Numerical Integration: Structure-Preserving
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Algorithms for Ordinary Differential Equations, 2nd ed. (Springer-Verlag Gmbh,
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2006).
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</p>
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<p>
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<a name="leimkuhler_reich_simulating_hamiltonian_dynamics"></a>[5] Leimkuhler
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Benedict and Reich Sebastian, Simulating Hamiltonian Dynamics (Cambridge University
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Press, 2005).
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</p>
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<p>
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<span class="bold"><strong>Special symplectic methods:</strong></span>
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</p>
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<p>
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<a name="symplectic_yoshida_symplectic_integrators"></a>[6] Haruo Yoshida,
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“Construction of higher order symplectic integrators,” Physics Letters
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A 150, no. 5 (November 12, 1990): 262-268.
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</p>
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<p>
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<a name="symplectic_mylachlan_symmetric_composition_mehtods"></a>[7] Robert
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I. McLachlan, “On the numerical integration of ordinary differential equations
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by symmetric composition methods,” SIAM J. Sci. Comput. 16, no. 1 (1995):
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151-168.
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</p>
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<p>
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<span class="bold"><strong>Special systems:</strong></span>
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</p>
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<p>
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<a name="fpu_scholarpedia"></a>[8] <a href="http://www.scholarpedia.org/article/Fermi-Pasta-Ulam_nonlinear_lattice_oscillations" target="_top">Fermi-Pasta-Ulam
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nonlinear lattice oscillations</a>
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</p>
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<p>
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<a name="synchronization_pikovsky_rosenblum"></a>[9] Arkady Pikovsky, Michael
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Rosemblum, and Jürgen Kurths, Synchronization: A Universal Concept in Nonlinear
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Sciences. (Cambridge University Press, 2001).
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</p>
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</div>
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<td align="right"><div class="copyright-footer">Copyright © 2009-2015 Karsten Ahnert 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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