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  27. <a name="boost_numeric_odeint.literature"></a><a class="link" href="literature.html" title="Literature">Literature</a>
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  29. <p>
  30. <span class="bold"><strong>General information about numerical integration of ordinary
  31. differential equations:</strong></span>
  32. </p>
  33. <p>
  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
  36. Press, 2007).
  37. </p>
  38. <p>
  39. <a name="hairer_solving_odes_1"></a>[2] Ernst Hairer, Syvert P. N&#248;rsett, and
  40. Gerhard Wanner, Solving Ordinary Differential Equations I: Nonstiff Problems,
  41. 2nd ed. (Springer, Berlin, 2009).
  42. </p>
  43. <p>
  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).
  47. </p>
  48. <p>
  49. <span class="bold"><strong>Symplectic integration of numerical integration:</strong></span>
  50. </p>
  51. <p>
  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,
  55. 2006).
  56. </p>
  57. <p>
  58. <a name="leimkuhler_reich_simulating_hamiltonian_dynamics"></a>[5] Leimkuhler
  59. Benedict and Reich Sebastian, Simulating Hamiltonian Dynamics (Cambridge University
  60. Press, 2005).
  61. </p>
  62. <p>
  63. <span class="bold"><strong>Special symplectic methods:</strong></span>
  64. </p>
  65. <p>
  66. <a name="symplectic_yoshida_symplectic_integrators"></a>[6] Haruo Yoshida,
  67. &#8220;Construction of higher order symplectic integrators,&#8221; Physics Letters
  68. A 150, no. 5 (November 12, 1990): 262-268.
  69. </p>
  70. <p>
  71. <a name="symplectic_mylachlan_symmetric_composition_mehtods"></a>[7] Robert
  72. I. McLachlan, &#8220;On the numerical integration of ordinary differential equations
  73. by symmetric composition methods,&#8221; SIAM J. Sci. Comput. 16, no. 1 (1995):
  74. 151-168.
  75. </p>
  76. <p>
  77. <span class="bold"><strong>Special systems:</strong></span>
  78. </p>
  79. <p>
  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>
  82. </p>
  83. <p>
  84. <a name="synchronization_pikovsky_rosenblum"></a>[9] Arkady Pikovsky, Michael
  85. Rosemblum, and J&#252;rgen Kurths, Synchronization: A Universal Concept in Nonlinear
  86. Sciences. (Cambridge University Press, 2001).
  87. </p>
  88. </div>
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  91. <td align="right"><div class="copyright-footer">Copyright &#169; 2009-2015 Karsten Ahnert and Mario Mulansky<p>
  92. Distributed under the Boost Software License, Version 1.0. (See accompanying
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