1<html> 2<head> 3<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> 4<title>Chapter 1. Boost.Numeric.Odeint</title> 5<link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css"> 6<meta name="generator" content="DocBook XSL Stylesheets V1.79.1"> 7<link rel="home" href="index.html" title="Chapter 1. Boost.Numeric.Odeint"> 8<link rel="next" href="boost_numeric_odeint/getting_started.html" title="Getting started"> 9</head> 10<body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> 11<table cellpadding="2" width="100%"><tr> 12<td valign="top"><img alt="Boost C++ Libraries" width="277" height="86" src="logo.jpg"></td> 13<td align="center"><a href="../../../../../index.html">Home</a></td> 14<td align="center"><a href="../../../../../libs/libraries.htm">Libraries</a></td> 15<td align="center"><a href="http://www.boost.org/users/people.html">People</a></td> 16<td align="center"><a href="http://www.boost.org/users/faq.html">FAQ</a></td> 17<td align="center"><a href="../../../../../more/index.htm">More</a></td> 18</tr></table> 19<hr> 20<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> 21<div class="chapter"> 22<div class="titlepage"><div> 23<div><h2 class="title"> 24<a name="odeint"></a>Chapter 1. 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 © 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 <boost/numeric/odeint/integrate/check_adapter.hpp></a></span></dt> 124<dt><span class="section"><a href="header/boost/numeric/odeint/integrate/integrate_hpp.html">Header <boost/numeric/odeint/integrate/integrate.hpp></a></span></dt> 125<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> 126<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> 127<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> 128<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> 129<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> 130<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> 131<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> 132<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> 133<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> 134<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> 135<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> 136<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> 137<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> 138<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> 139<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> 140<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> 141<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/adaptive_adams_bashforth_moulton_hpp.html">Header <boost/numeric/odeint/stepper/adaptive_adams_bashforth_moulton.hpp></a></span></dt> 142<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> 143<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> 144<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/controlled_adams_bashforth_moulton_hpp.html">Header <boost/numeric/odeint/stepper/controlled_adams_bashforth_moulton.hpp></a></span></dt> 145<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> 146<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> 147<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> 148<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/euler_hpp.html">Header <boost/numeric/odeint/stepper/euler.hpp></a></span></dt> 149<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> 150<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> 151<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> 152<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> 153<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> 154<dt><span class="section"><a href="header/boost/numeric/odeint/stepper/rosenbrock4_hpp.html">Header <boost/numeric/odeint/stepper/rosenbrock4.hpp></a></span></dt> 155<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> 156<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> 157<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> 158<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> 159<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> 160<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> 161<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> 162<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> 163<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> 164<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> 165<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> 166<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> 167<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> 168</dl></dd> 169<dt><span class="section"><a href="odeint/indexes.html">Indexes</a></span></dt> 170<dd><dl> 171<dt><span class="section"><a href="odeint/indexes/s01.html">Class Index</a></span></dt> 172<dt><span class="section"><a href="odeint/indexes/s02.html">Function Index</a></span></dt> 173<dt><span class="section"><a href="odeint/indexes/s03.html">Index</a></span></dt> 174</dl></dd> 175</dl> 176</div> 177</div> 178<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> 179<td align="left"><p><small>Last revised: August 11, 2020 at 14:59:49 GMT</small></p></td> 180<td align="right"><div class="copyright-footer"></div></td> 181</tr></table> 182<hr> 183<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> 184</body> 185</html> 186
