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