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   4 <title>Chapter&#160;1.&#160;Boost.Numeric.Odeint</title>
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  21 <div class="chapter">
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  23 <div><h2 class="title">
  24 <a name="odeint"></a>Chapter&#160;1.&#160;Boost.Numeric.Odeint</h2></div>
  25 <div><div class="author"><h3 class="author">
  26 <span class="firstname">Karsten</span> <span class="surname">Ahnert</span>
  27 </h3></div></div>
  28 <div><div class="author"><h3 class="author">
  29 <span class="firstname">Mario</span> <span class="surname">Mulansky</span>
  30 </h3></div></div>
  31 <div><p class="copyright">Copyright &#169; 2009-2015 Karsten Ahnert and Mario Mulansky</p></div>
  32 <div><div class="legalnotice">
  33 <a name="odeint.legal"></a><p>
  34         Distributed under the Boost Software License, Version 1.0. (See accompanying
  35         file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
  36       </p>
  37 </div></div>
  38 </div></div>
  39 <div class="toc">
  40 <p><b>Table of Contents</b></p>
  41 <dl class="toc">
  42 <dt><span class="section"><a href="boost_numeric_odeint/getting_started.html">Getting started</a></span></dt>
  43 <dd><dl>
  44 <dt><span class="section"><a href="boost_numeric_odeint/getting_started/overview.html">Overview</a></span></dt>
  45 <dt><span class="section"><a href="boost_numeric_odeint/getting_started/usage__compilation__headers.html">Usage,
  46       Compilation, Headers</a></span></dt>
  47 <dt><span class="section"><a href="boost_numeric_odeint/getting_started/short_example.html">Short
  48       Example</a></span></dt>
  49 </dl></dd>
  50 <dt><span class="section"><a href="boost_numeric_odeint/tutorial.html">Tutorial</a></span></dt>
  51 <dd><dl>
  52 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/harmonic_oscillator.html">Harmonic
  53       oscillator</a></span></dt>
  54 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/solar_system.html">Solar system</a></span></dt>
  55 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/chaotic_systems_and_lyapunov_exponents.html">Chaotic
  56       systems and Lyapunov exponents</a></span></dt>
  57 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/stiff_systems.html">Stiff systems</a></span></dt>
  58 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/complex_state_types.html">Complex
  59       state types</a></span></dt>
  60 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/lattice_systems.html">Lattice
  61       systems</a></span></dt>
  62 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/ensembles_of_oscillators.html">Ensembles
  63       of oscillators</a></span></dt>
  64 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_boost__units.html">Using
  65       boost::units</a></span></dt>
  66 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_matrices_as_state_types.html">Using
  67       matrices as state types</a></span></dt>
  68 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_arbitrary_precision_floating_point_types.html">Using
  69       arbitrary precision floating point types</a></span></dt>
  70 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/self_expanding_lattices.html">Self
  71       expanding lattices</a></span></dt>
  72 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_cuda__or_openmp__tbb_______via_thrust.html">Using
  73       CUDA (or OpenMP, TBB, ...) via Thrust</a></span></dt>
  74 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_opencl_via_vexcl.html">Using
  75       OpenCL via VexCL</a></span></dt>
  76 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/parallel_computation_with_openmp_and_mpi.html">Parallel
  77       computation with OpenMP and MPI</a></span></dt>
  78 <dt><span class="section"><a href="boost_numeric_odeint/tutorial/all_examples.html">All examples</a></span></dt>
  79 </dl></dd>
  80 <dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail.html">odeint in detail</a></span></dt>
  81 <dd><dl>
  82 <dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/steppers.html">Steppers</a></span></dt>
  83 <dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/generation_functions.html">Generation
  84       functions</a></span></dt>
  85 <dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/integrate_functions.html">Integrate
  86       functions</a></span></dt>
  87 <dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/iterators_and_ranges.html">Iterators
  88       and Ranges</a></span></dt>
  89 <dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/state_types__algebras_and_operations.html">State
  90       types, algebras and operations</a></span></dt>
  91 <dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/using_boost__ref.html">Using
  92       boost::ref</a></span></dt>
  93 <dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/using_boost__range.html">Using
  94       boost::range</a></span></dt>
  95 <dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/binding_member_functions.html">Binding
  96       member functions</a></span></dt>
  97 </dl></dd>
  98 <dt><span class="section"><a href="boost_numeric_odeint/concepts.html">Concepts</a></span></dt>
  99 <dd><dl>
 100 <dt><span class="section"><a href="boost_numeric_odeint/concepts/system.html">System</a></span></dt>
 101 <dt><span class="section"><a href="boost_numeric_odeint/concepts/second_order_system.html">Second
 102       Order System</a></span></dt>
 103 <dt><span class="section"><a href="boost_numeric_odeint/concepts/symplectic_system.html">Symplectic
 104       System</a></span></dt>
 105 <dt><span class="section"><a href="boost_numeric_odeint/concepts/simple_symplectic_system.html">Simple
 106       Symplectic System</a></span></dt>
 107 <dt><span class="section"><a href="boost_numeric_odeint/concepts/implicit_system.html">Implicit
 108       System</a></span></dt>
 109 <dt><span class="section"><a href="boost_numeric_odeint/concepts/stepper.html">Stepper</a></span></dt>
 110 <dt><span class="section"><a href="boost_numeric_odeint/concepts/error_stepper.html">Error Stepper</a></span></dt>
 111 <dt><span class="section"><a href="boost_numeric_odeint/concepts/controlled_stepper.html">Controlled
 112       Stepper</a></span></dt>
 113 <dt><span class="section"><a href="boost_numeric_odeint/concepts/dense_output_stepper.html">Dense
 114       Output Stepper</a></span></dt>
 115 <dt><span class="section"><a href="boost_numeric_odeint/concepts/state_algebra_operations.html">State
 116       Algebra Operations</a></span></dt>
 117 <dt><span class="section"><a href="boost_numeric_odeint/concepts/state_wrapper.html">State Wrapper</a></span></dt>
 118 </dl></dd>
 119 <dt><span class="section"><a href="boost_numeric_odeint/literature.html">Literature</a></span></dt>
 120 <dt><span class="section"><a href="boost_numeric_odeint/acknowledgments.html">Acknowledgments</a></span></dt>
 121 <dt><span class="section"><a href="odeint_reference.html">odeint Reference</a></span></dt>
 122 <dd><dl>
 123 <dt><span class="section"><a href="header/boost/numeric/odeint/integrate/check_adapter_hpp.html">Header &lt;boost/numeric/odeint/integrate/check_adapter.hpp&gt;</a></span></dt>
 124 <dt><span class="section"><a href="header/boost/numeric/odeint/integrate/integrate_hpp.html">Header &lt;boost/numeric/odeint/integrate/integrate.hpp&gt;</a></span></dt>
 125 <dt><span class="section"><a href="header/boost/numeric/odeint/integrate/integrate_adaptive_hpp.html">Header &lt;boost/numeric/odeint/integrate/integrate_adaptive.hpp&gt;</a></span></dt>
 126 <dt><span class="section"><a href="header/boost/numeric/odeint/integrate/integrate_const_hpp.html">Header &lt;boost/numeric/odeint/integrate/integrate_const.hpp&gt;</a></span></dt>
 127 <dt><span class="section"><a href="header/boost/numeric/odeint/integrate/integrate_n_steps_hpp.html">Header &lt;boost/numeric/odeint/integrate/integrate_n_steps.hpp&gt;</a></span></dt>
 128 <dt><span class="section"><a href="header/boost/numeric/odeint/integrate/integrate_times_hpp.html">Header &lt;boost/numeric/odeint/integrate/integrate_times.hpp&gt;</a></span></dt>
 129 <dt><span class="section"><a href="header/boost/numeric/odeint/integrate/max_step_checker_hpp.html">Header &lt;boost/numeric/odeint/integrate/max_step_checker.hpp&gt;</a></span></dt>
 130 <dt><span class="section"><a href="header/boost/numeric/odeint/iterator/adaptive_iterator_hpp.html">Header &lt;boost/numeric/odeint/iterator/adaptive_iterator.hpp&gt;</a></span></dt>
 131 <dt><span class="section"><a href="header/boost/numeric/odeint/iterator/adaptive_time_iterator_hpp.html">Header &lt;boost/numeric/odeint/iterator/adaptive_time_iterator.hpp&gt;</a></span></dt>
 132 <dt><span class="section"><a href="header/boost/numeric/odeint/iterator/const_step_iterator_hpp.html">Header &lt;boost/numeric/odeint/iterator/const_step_iterator.hpp&gt;</a></span></dt>
 133 <dt><span class="section"><a href="header/boost/numeric/odeint/iterator/const_step_time_iterator_hpp.html">Header &lt;boost/numeric/odeint/iterator/const_step_time_iterator.hpp&gt;</a></span></dt>
 134 <dt><span class="section"><a href="header/boost/numeric/odeint/iterator/n_step_iterator_hpp.html">Header &lt;boost/numeric/odeint/iterator/n_step_iterator.hpp&gt;</a></span></dt>
 135 <dt><span class="section"><a href="header/boost/numeric/odeint/iterator/n_step_time_iterator_hpp.html">Header &lt;boost/numeric/odeint/iterator/n_step_time_iterator.hpp&gt;</a></span></dt>
 136 <dt><span class="section"><a href="header/boost/numeric/odeint/iterator/times_iterator_hpp.html">Header &lt;boost/numeric/odeint/iterator/times_iterator.hpp&gt;</a></span></dt>
 137 <dt><span class="section"><a href="header/boost/numeric/odeint/iterator/times_time_iterator_hpp.html">Header &lt;boost/numeric/odeint/iterator/times_time_iterator.hpp&gt;</a></span></dt>
 138 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/adams_bashforth_hpp.html">Header &lt;boost/numeric/odeint/stepper/adams_bashforth.hpp&gt;</a></span></dt>
 139 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/adams_bashforth_moulton_hpp.html">Header &lt;boost/numeric/odeint/stepper/adams_bashforth_moulton.hpp&gt;</a></span></dt>
 140 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/adams_moulton_hpp.html">Header &lt;boost/numeric/odeint/stepper/adams_moulton.hpp&gt;</a></span></dt>
 141 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/bulirsch_stoer_hpp.html">Header &lt;boost/numeric/odeint/stepper/bulirsch_stoer.hpp&gt;</a></span></dt>
 142 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/bulirsch_stoer_dense_out_hpp.html">Header &lt;boost/numeric/odeint/stepper/bulirsch_stoer_dense_out.hpp&gt;</a></span></dt>
 143 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/controlled_runge_kutta_hpp.html">Header &lt;boost/numeric/odeint/stepper/controlled_runge_kutta.hpp&gt;</a></span></dt>
 144 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/controlled_step_result_hpp.html">Header &lt;boost/numeric/odeint/stepper/controlled_step_result.hpp&gt;</a></span></dt>
 145 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/dense_output_runge_kutta_hpp.html">Header &lt;boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp&gt;</a></span></dt>
 146 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/euler_hpp.html">Header &lt;boost/numeric/odeint/stepper/euler.hpp&gt;</a></span></dt>
 147 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/explicit_error_generic_rk_hpp.html">Header &lt;boost/numeric/odeint/stepper/explicit_error_generic_rk.hpp&gt;</a></span></dt>
 148 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/explicit_generic_rk_hpp.html">Header &lt;boost/numeric/odeint/stepper/explicit_generic_rk.hpp&gt;</a></span></dt>
 149 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/extrapolation_stepper_hpp.html">Header &lt;boost/numeric/odeint/stepper/extrapolation_stepper.hpp&gt;</a></span></dt>
 150 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/implicit_euler_hpp.html">Header &lt;boost/numeric/odeint/stepper/implicit_euler.hpp&gt;</a></span></dt>
 151 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/modified_midpoint_hpp.html">Header &lt;boost/numeric/odeint/stepper/modified_midpoint.hpp&gt;</a></span></dt>
 152 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/rosenbrock4_hpp.html">Header &lt;boost/numeric/odeint/stepper/rosenbrock4.hpp&gt;</a></span></dt>
 153 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/rosenbrock4_controller_hpp.html">Header &lt;boost/numeric/odeint/stepper/rosenbrock4_controller.hpp&gt;</a></span></dt>
 154 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/rosenbrock4_dense_output_hpp.html">Header &lt;boost/numeric/odeint/stepper/rosenbrock4_dense_output.hpp&gt;</a></span></dt>
 155 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta4_hpp.html">Header &lt;boost/numeric/odeint/stepper/runge_kutta4.hpp&gt;</a></span></dt>
 156 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta4_classic_hpp.html">Header &lt;boost/numeric/odeint/stepper/runge_kutta4_classic.hpp&gt;</a></span></dt>
 157 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta_cash_karp54_hpp.html">Header &lt;boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp&gt;</a></span></dt>
 158 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic_hpp.html">Header &lt;boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic.hpp&gt;</a></span></dt>
 159 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta_dopri5_hpp.html">Header &lt;boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp&gt;</a></span></dt>
 160 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta_fehlberg78_hpp.html">Header &lt;boost/numeric/odeint/stepper/runge_kutta_fehlberg78.hpp&gt;</a></span></dt>
 161 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/stepper_categories_hpp.html">Header &lt;boost/numeric/odeint/stepper/stepper_categories.hpp&gt;</a></span></dt>
 162 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/symplectic_euler_hpp.html">Header &lt;boost/numeric/odeint/stepper/symplectic_euler.hpp&gt;</a></span></dt>
 163 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/symplectic_rkn_sb3a_m4_mclachlan_hpp.html">Header &lt;boost/numeric/odeint/stepper/symplectic_rkn_sb3a_m4_mclachlan.hpp&gt;</a></span></dt>
 164 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/symplectic_rkn_sb3a_mclachlan_hpp.html">Header &lt;boost/numeric/odeint/stepper/symplectic_rkn_sb3a_mclachlan.hpp&gt;</a></span></dt>
 165 <dt><span class="section"><a href="header/boost/numeric/odeint/stepper/velocity_verlet_hpp.html">Header &lt;boost/numeric/odeint/stepper/velocity_verlet.hpp&gt;</a></span></dt>
 166 </dl></dd>
 167 <dt><span class="section"><a href="odeint/indexes.html">Indexes</a></span></dt>
 168 </dl>
 169 </div>
 170 </div>
 171 <table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
 172 <td align="left"><p><small>Last revised: April 17, 2017 at 02:26:24 GMT</small></p></td>
 173 <td align="right"><div class="copyright-footer"></div></td>
 174 </tr></table>
 175 <hr>
 176 <div class="spirit-nav"><a accesskey="n" href="boost_numeric_odeint/getting_started.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a></div>
 177 </body>
 178 </html>