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<title>Chapter&#160;1.&#160;Boost.Numeric.Odeint</title>
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<div><h2 class="title">
<a name="odeint"></a>Chapter&#160;1.&#160;Boost.Numeric.Odeint</h2></div>
<div><div class="author"><h3 class="author">
<span class="firstname">Karsten</span> <span class="surname">Ahnert</span>
</h3></div></div>
<div><div class="author"><h3 class="author">
<span class="firstname">Mario</span> <span class="surname">Mulansky</span>
</h3></div></div>
<div><p class="copyright">Copyright &#169; 2009-2015 Karsten Ahnert and Mario Mulansky</p></div>
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<a name="odeint.legal"></a><p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        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>)
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<div class="toc">
<p><b>Table of Contents</b></p>
<dl class="toc">
<dt><span class="section"><a href="boost_numeric_odeint/getting_started.html">Getting started</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="boost_numeric_odeint/getting_started/overview.html">Overview</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/getting_started/usage__compilation__headers.html">Usage,
      Compilation, Headers</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/getting_started/short_example.html">Short
      Example</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial.html">Tutorial</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/harmonic_oscillator.html">Harmonic
      oscillator</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/solar_system.html">Solar system</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/chaotic_systems_and_lyapunov_exponents.html">Chaotic
      systems and Lyapunov exponents</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/stiff_systems.html">Stiff systems</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/complex_state_types.html">Complex
      state types</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/lattice_systems.html">Lattice
      systems</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/ensembles_of_oscillators.html">Ensembles
      of oscillators</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_boost__units.html">Using
      boost::units</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_matrices_as_state_types.html">Using
      matrices as state types</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_arbitrary_precision_floating_point_types.html">Using
      arbitrary precision floating point types</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/self_expanding_lattices.html">Self
      expanding lattices</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_cuda__or_openmp__tbb_______via_thrust.html">Using
      CUDA (or OpenMP, TBB, ...) via Thrust</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_opencl_via_vexcl.html">Using
      OpenCL via VexCL</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/parallel_computation_with_openmp_and_mpi.html">Parallel
      computation with OpenMP and MPI</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/tutorial/all_examples.html">All examples</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail.html">odeint in detail</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/steppers.html">Steppers</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/generation_functions.html">Generation
      functions</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/integrate_functions.html">Integrate
      functions</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/iterators_and_ranges.html">Iterators
      and Ranges</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/state_types__algebras_and_operations.html">State
      types, algebras and operations</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/using_boost__ref.html">Using
      boost::ref</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/using_boost__range.html">Using
      boost::range</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/binding_member_functions.html">Binding
      member functions</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="boost_numeric_odeint/concepts.html">Concepts</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="boost_numeric_odeint/concepts/system.html">System</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/concepts/second_order_system.html">Second
      Order System</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/concepts/symplectic_system.html">Symplectic
      System</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/concepts/simple_symplectic_system.html">Simple
      Symplectic System</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/concepts/implicit_system.html">Implicit
      System</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/concepts/stepper.html">Stepper</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/concepts/error_stepper.html">Error Stepper</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/concepts/controlled_stepper.html">Controlled
      Stepper</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/concepts/dense_output_stepper.html">Dense
      Output Stepper</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/concepts/state_algebra_operations.html">State
      Algebra Operations</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/concepts/state_wrapper.html">State Wrapper</a></span></dt>
</dl></dd>
<dt><span class="section"><a href="boost_numeric_odeint/literature.html">Literature</a></span></dt>
<dt><span class="section"><a href="boost_numeric_odeint/acknowledgments.html">Acknowledgments</a></span></dt>
<dt><span class="section"><a href="odeint_reference.html">odeint Reference</a></span></dt>
<dd><dl>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/adaptive_adams_bashforth_moulton_hpp.html">Header &lt;boost/numeric/odeint/stepper/adaptive_adams_bashforth_moulton.hpp&gt;</a></span></dt>
<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>
<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>
<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/controlled_adams_bashforth_moulton_hpp.html">Header &lt;boost/numeric/odeint/stepper/controlled_adams_bashforth_moulton.hpp&gt;</a></span></dt>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
<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>
</dl></dd>
<dt><span class="section"><a href="odeint/indexes.html">Indexes</a></span></dt>
<dd><dl>
<dt><span class="section"><a href="odeint/indexes/s01.html">Class Index</a></span></dt>
<dt><span class="section"><a href="odeint/indexes/s02.html">Function Index</a></span></dt>
<dt><span class="section"><a href="odeint/indexes/s03.html">Index</a></span></dt>
</dl></dd>
</dl>
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<td align="left"><p><small>Last revised: December 10, 2019 at 00:22:19 GMT</small></p></td>
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