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30 <span class="bold"><strong>General information about numerical integration of ordinary
31 differential equations:</strong></span>
34 <a name="numerical_recipies"></a>[1] Press William H et al., Numerical Recipes
35 3rd Edition: The Art of Scientific Computing, 3rd ed. (Cambridge University
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).
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).
49 <span class="bold"><strong>Symplectic integration of numerical integration:</strong></span>
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,
58 <a name="leimkuhler_reich_simulating_hamiltonian_dynamics"></a>[5] Leimkuhler
59 Benedict and Reich Sebastian, Simulating Hamiltonian Dynamics (Cambridge University
63 <span class="bold"><strong>Special symplectic methods:</strong></span>
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.
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):
77 <span class="bold"><strong>Special systems:</strong></span>
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>
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).
89 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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91 <td align="right"><div class="copyright-footer">Copyright © 2009-2012 Karsten
92 Ahnert and Mario Mulansky<p>
93 Distributed under the Boost Software License, Version 1.0. (See accompanying
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