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- [/============================================================================
- Boost.odeint
- Copyright 2010-2012 Karsten Ahnert
- Copyright 2010-2012 Mario Mulansky
- Use, modification and distribution is subject to the Boost Software License,
- Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
- http://www.boost.org/LICENSE_1_0.txt)
- =============================================================================/]
- [section Literature]
- [*General information about numerical integration of ordinary differential equations:]
- [#numerical_recipies]
- [1] Press William H et al., Numerical Recipes 3rd Edition: The Art of Scientific Computing, 3rd ed. (Cambridge University Press, 2007).
- [#hairer_solving_odes_1]
- [2] Ernst Hairer, Syvert P. Nørsett, and Gerhard Wanner, Solving Ordinary Differential Equations I: Nonstiff Problems, 2nd ed. (Springer, Berlin, 2009).
- [#hairer_solving_odes_2]
- [3] Ernst Hairer and Gerhard Wanner, Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, 2nd ed. (Springer, Berlin, 2010).
- [*Symplectic integration of numerical integration:]
- [#hairer_geometrical_numeric_integration]
- [4] Ernst Hairer, Gerhard Wanner, and Christian Lubich, Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations, 2nd ed. (Springer-Verlag Gmbh, 2006).
- [#leimkuhler_reich_simulating_hamiltonian_dynamics]
- [5] Leimkuhler Benedict and Reich Sebastian, Simulating Hamiltonian Dynamics (Cambridge University Press, 2005).
- [*Special symplectic methods:]
- [#symplectic_yoshida_symplectic_integrators]
- [6] Haruo Yoshida, “Construction of higher order symplectic integrators,” Physics Letters A 150, no. 5 (November 12, 1990): 262-268.
- [#symplectic_mylachlan_symmetric_composition_mehtods]
- [7] Robert I. McLachlan, “On the numerical integration of ordinary differential equations by symmetric composition methods,” SIAM J. Sci. Comput. 16, no. 1 (1995): 151-168.
- [*Special systems:]
- [#fpu_scholarpedia]
- [8] [@http://www.scholarpedia.org/article/Fermi-Pasta-Ulam_nonlinear_lattice_oscillations Fermi-Pasta-Ulam nonlinear lattice oscillations]
- [#synchronization_pikovsky_rosenblum]
- [9] Arkady Pikovsky, Michael Rosemblum, and Jürgen Kurths, Synchronization: A Universal Concept in Nonlinear Sciences. (Cambridge University Press, 2001).
- [endsect]
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