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