[/============================================================================ 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]