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<title>Chapter 1. Boost.Numeric.Odeint</title>
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<div class="chapter">
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<div><h2 class="title">
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<a name="odeint"></a>Chapter 1. Boost.Numeric.Odeint</h2></div>
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<div><div class="author"><h3 class="author">
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<span class="firstname">Karsten</span> <span class="surname">Ahnert</span>
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</h3></div></div>
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<div><div class="author"><h3 class="author">
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<span class="firstname">Mario</span> <span class="surname">Mulansky</span>
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</h3></div></div>
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<div><p class="copyright">Copyright © 2009-2015 Karsten Ahnert and Mario Mulansky</p></div>
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<a name="odeint.legal"></a><p>
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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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">
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<p><b>Table of Contents</b></p>
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<dl class="toc">
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<dt><span class="section"><a href="boost_numeric_odeint/getting_started.html">Getting started</a></span></dt>
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<dd><dl>
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<dt><span class="section"><a href="boost_numeric_odeint/getting_started/overview.html">Overview</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/getting_started/usage__compilation__headers.html">Usage,
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Compilation, Headers</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/getting_started/short_example.html">Short
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Example</a></span></dt>
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</dl></dd>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial.html">Tutorial</a></span></dt>
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<dd><dl>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/harmonic_oscillator.html">Harmonic
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oscillator</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/solar_system.html">Solar system</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/chaotic_systems_and_lyapunov_exponents.html">Chaotic
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systems and Lyapunov exponents</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/stiff_systems.html">Stiff systems</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/complex_state_types.html">Complex
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state types</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/lattice_systems.html">Lattice
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systems</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/ensembles_of_oscillators.html">Ensembles
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of oscillators</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_boost__units.html">Using
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boost::units</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_matrices_as_state_types.html">Using
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matrices as state types</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_arbitrary_precision_floating_point_types.html">Using
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arbitrary precision floating point types</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/self_expanding_lattices.html">Self
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expanding lattices</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_cuda__or_openmp__tbb_______via_thrust.html">Using
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CUDA (or OpenMP, TBB, ...) via Thrust</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/using_opencl_via_vexcl.html">Using
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OpenCL via VexCL</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/parallel_computation_with_openmp_and_mpi.html">Parallel
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computation with OpenMP and MPI</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/tutorial/all_examples.html">All examples</a></span></dt>
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</dl></dd>
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<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail.html">odeint in detail</a></span></dt>
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<dd><dl>
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<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/steppers.html">Steppers</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/generation_functions.html">Generation
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functions</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/integrate_functions.html">Integrate
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functions</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/iterators_and_ranges.html">Iterators
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and Ranges</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/state_types__algebras_and_operations.html">State
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types, algebras and operations</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/using_boost__ref.html">Using
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boost::ref</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/using_boost__range.html">Using
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boost::range</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/odeint_in_detail/binding_member_functions.html">Binding
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member functions</a></span></dt>
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</dl></dd>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts.html">Concepts</a></span></dt>
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<dd><dl>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts/system.html">System</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts/second_order_system.html">Second
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Order System</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts/symplectic_system.html">Symplectic
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System</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts/simple_symplectic_system.html">Simple
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Symplectic System</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts/implicit_system.html">Implicit
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System</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts/stepper.html">Stepper</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts/error_stepper.html">Error Stepper</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts/controlled_stepper.html">Controlled
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Stepper</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts/dense_output_stepper.html">Dense
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Output Stepper</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts/state_algebra_operations.html">State
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Algebra Operations</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/concepts/state_wrapper.html">State Wrapper</a></span></dt>
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</dl></dd>
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<dt><span class="section"><a href="boost_numeric_odeint/literature.html">Literature</a></span></dt>
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<dt><span class="section"><a href="boost_numeric_odeint/acknowledgments.html">Acknowledgments</a></span></dt>
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<dt><span class="section"><a href="odeint_reference.html">odeint Reference</a></span></dt>
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<dd><dl>
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<dt><span class="section"><a href="header/boost/numeric/odeint/integrate/check_adapter_hpp.html">Header <boost/numeric/odeint/integrate/check_adapter.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/integrate/integrate_hpp.html">Header <boost/numeric/odeint/integrate/integrate.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/integrate/integrate_adaptive_hpp.html">Header <boost/numeric/odeint/integrate/integrate_adaptive.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/integrate/integrate_const_hpp.html">Header <boost/numeric/odeint/integrate/integrate_const.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/integrate/integrate_n_steps_hpp.html">Header <boost/numeric/odeint/integrate/integrate_n_steps.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/integrate/integrate_times_hpp.html">Header <boost/numeric/odeint/integrate/integrate_times.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/integrate/max_step_checker_hpp.html">Header <boost/numeric/odeint/integrate/max_step_checker.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/iterator/adaptive_iterator_hpp.html">Header <boost/numeric/odeint/iterator/adaptive_iterator.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/iterator/adaptive_time_iterator_hpp.html">Header <boost/numeric/odeint/iterator/adaptive_time_iterator.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/iterator/const_step_iterator_hpp.html">Header <boost/numeric/odeint/iterator/const_step_iterator.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/iterator/const_step_time_iterator_hpp.html">Header <boost/numeric/odeint/iterator/const_step_time_iterator.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/iterator/n_step_iterator_hpp.html">Header <boost/numeric/odeint/iterator/n_step_iterator.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/iterator/n_step_time_iterator_hpp.html">Header <boost/numeric/odeint/iterator/n_step_time_iterator.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/iterator/times_iterator_hpp.html">Header <boost/numeric/odeint/iterator/times_iterator.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/iterator/times_time_iterator_hpp.html">Header <boost/numeric/odeint/iterator/times_time_iterator.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/adams_bashforth_hpp.html">Header <boost/numeric/odeint/stepper/adams_bashforth.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/adams_bashforth_moulton_hpp.html">Header <boost/numeric/odeint/stepper/adams_bashforth_moulton.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/adams_moulton_hpp.html">Header <boost/numeric/odeint/stepper/adams_moulton.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/bulirsch_stoer_hpp.html">Header <boost/numeric/odeint/stepper/bulirsch_stoer.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/bulirsch_stoer_dense_out_hpp.html">Header <boost/numeric/odeint/stepper/bulirsch_stoer_dense_out.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/controlled_runge_kutta_hpp.html">Header <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/controlled_step_result_hpp.html">Header <boost/numeric/odeint/stepper/controlled_step_result.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/dense_output_runge_kutta_hpp.html">Header <boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/euler_hpp.html">Header <boost/numeric/odeint/stepper/euler.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/explicit_error_generic_rk_hpp.html">Header <boost/numeric/odeint/stepper/explicit_error_generic_rk.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/explicit_generic_rk_hpp.html">Header <boost/numeric/odeint/stepper/explicit_generic_rk.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/extrapolation_stepper_hpp.html">Header <boost/numeric/odeint/stepper/extrapolation_stepper.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/implicit_euler_hpp.html">Header <boost/numeric/odeint/stepper/implicit_euler.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/modified_midpoint_hpp.html">Header <boost/numeric/odeint/stepper/modified_midpoint.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/rosenbrock4_hpp.html">Header <boost/numeric/odeint/stepper/rosenbrock4.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/rosenbrock4_controller_hpp.html">Header <boost/numeric/odeint/stepper/rosenbrock4_controller.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/rosenbrock4_dense_output_hpp.html">Header <boost/numeric/odeint/stepper/rosenbrock4_dense_output.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta4_hpp.html">Header <boost/numeric/odeint/stepper/runge_kutta4.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta4_classic_hpp.html">Header <boost/numeric/odeint/stepper/runge_kutta4_classic.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta_cash_karp54_hpp.html">Header <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic_hpp.html">Header <boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta_dopri5_hpp.html">Header <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/runge_kutta_fehlberg78_hpp.html">Header <boost/numeric/odeint/stepper/runge_kutta_fehlberg78.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/stepper_categories_hpp.html">Header <boost/numeric/odeint/stepper/stepper_categories.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/symplectic_euler_hpp.html">Header <boost/numeric/odeint/stepper/symplectic_euler.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/symplectic_rkn_sb3a_m4_mclachlan_hpp.html">Header <boost/numeric/odeint/stepper/symplectic_rkn_sb3a_m4_mclachlan.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/symplectic_rkn_sb3a_mclachlan_hpp.html">Header <boost/numeric/odeint/stepper/symplectic_rkn_sb3a_mclachlan.hpp></a></span></dt>
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<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/velocity_verlet_hpp.html">Header <boost/numeric/odeint/stepper/velocity_verlet.hpp></a></span></dt>
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</dl></dd>
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<dt><span class="section"><a href="odeint/indexes.html">Indexes</a></span></dt>
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</dl>
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</div>
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</div>
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="left"><p><small>Last revised: December 22, 2016 at 12:49:14 GMT</small></p></td>
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<td align="right"><div class="copyright-footer"></div></td>
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<hr>
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