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<div class="titlepage"><div><div><h3 class="title">
<a name="boost_numeric_odeint.tutorial.all_examples"></a><a class="link" href="all_examples.html" title="All examples">All examples</a>
</h3></div></div></div>
<p>
The following table gives an overview over all examples.
</p>
<div class="table">
<a name="boost_numeric_odeint.tutorial.all_examples.examples_overview"></a><p class="title"><b>Table 1.4. Examples Overview</b></p>
<div class="table-contents"><table class="table" summary="Examples Overview">
<colgroup>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
File
</p>
</th>
<th>
<p>
Brief Description
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/bind_member_functions.cpp" target="_top">bind_member_functions.cpp</a>
</p>
</td>
<td>
<p>
This examples shows how member functions can be used as system
functions in odeint.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/bind_member_functions.cpp" target="_top">bind_member_functions_cpp11.cpp</a>
</p>
</td>
<td>
<p>
This examples shows how member functions can be used as system
functions in odeint with <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">bind</span></code>
in C++11.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/bulirsch_stoer.cpp" target="_top">bulirsch_stoer.cpp</a>
</p>
</td>
<td>
<p>
Shows the usage of the Bulirsch-Stoer method.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/chaotic_system.cpp" target="_top">chaotic_system.cpp</a>
</p>
</td>
<td>
<p>
The chaotic system examples integrates the Lorenz system and calculates
the Lyapunov exponents.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/elliptic_functions.cpp" target="_top">elliptic_functions.cpp</a>
</p>
</td>
<td>
<p>
Example calculating the elliptic functions using Bulirsch-Stoer
and Runge-Kutta-Dopri5 Steppers with dense output.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/fpu.cpp" target="_top">fpu.cpp</a>
</p>
</td>
<td>
<p>
The Fermi-Pasta-Ulam (FPU) example shows how odeint can be used
to integrate lattice systems.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/generation_functions.cpp" target="_top">generation_functions.cpp</a>
</p>
</td>
<td>
<p>
Shows skeletal code on how to implement own factory functions.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/harmonic_oscillator.cpp" target="_top">harmonic_oscillator.cpp</a>
</p>
</td>
<td>
<p>
The harmonic oscillator examples gives a brief introduction to
odeint and shows the usage of the classical Runge-Kutta-solvers.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/harmonic_oscillator_units.cpp" target="_top">harmonic_oscillator_units.cpp</a>
</p>
</td>
<td>
<p>
This examples shows how <a href="http://www.boost.org/doc/libs/release/libs/units/" target="_top">Boost.Units</a>
can be used with odeint.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/heun.cpp" target="_top">heun.cpp</a>
</p>
</td>
<td>
<p>
The Heun example shows how an custom Runge-Kutta stepper can be
created with odeint generic Runge-Kutta method.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/list_lattice.cpp" target="_top">list_lattice.cpp</a>
</p>
</td>
<td>
<p>
Example of a phase lattice integration using <code class="computeroutput"><span class="identifier">std</span><span class="special">::</span><span class="identifier">list</span></code>
as state type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/lorenz_point.cpp" target="_top">lorenz_point.cpp</a>
</p>
</td>
<td>
<p>
Alternative way of integrating lorenz by using a self defined point3d
data type as state type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/my_vector.cpp" target="_top">my_vector.cpp</a>
</p>
</td>
<td>
<p>
Simple example showing how to get odeint to work with a self-defined
vector type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/phase_oscillator_ensemble.cpp" target="_top">phase_oscillator_ensemble.cpp</a>
</p>
</td>
<td>
<p>
The phase oscillator ensemble example shows how globally coupled
oscillators can be analyzed and how statistical measures can be
computed during integration.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/resizing_lattice.cpp" target="_top">resizing_lattice.cpp</a>
</p>
</td>
<td>
<p>
Shows the strength of odeint's memory management by simulating
a Hamiltonian system on an expanding lattice.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/simple1d.cpp" target="_top">simple1d.cpp</a>
</p>
</td>
<td>
<p>
Integrating a simple, one-dimensional ODE showing the usage of
integrate- and generate-functions.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/solar_system.cpp" target="_top">solar_system.cpp</a>
</p>
</td>
<td>
<p>
The solar system example shows the usage of the symplectic solvers.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/stepper_details.cpp" target="_top">stepper_details.cpp</a>
</p>
</td>
<td>
<p>
Trivial example showing the usability of the several stepper classes.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/stiff_system.cpp" target="_top">stiff_system.cpp</a>
</p>
</td>
<td>
<p>
The stiff system example shows the usage of the stiff solvers using
the Jacobian of the system function.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/stochastic_euler.cpp" target="_top">stochastic_euler.cpp</a>
</p>
</td>
<td>
<p>
Implementation of a custom stepper - the stochastic euler - for
solving stochastic differential equations.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/stuart_landau.cpp" target="_top">stuart_landau.cpp</a>
</p>
</td>
<td>
<p>
The Stuart-Landau example shows how odeint can be used with complex
state types.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/two_dimensional_phase_lattice.cpp" target="_top">two_dimensional_phase_lattice.cpp</a>
</p>
</td>
<td>
<p>
The 2D phase oscillator example shows how a two-dimensional lattice
works with odeint and how matrix types can be used as state types
in odeint.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/van_der_pol_stiff.cpp" target="_top">van_der_pol_stiff.cpp</a>
</p>
</td>
<td>
<p>
This stiff system example again shows the usage of the stiff solvers
by integrating the van der Pol oscillator.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/gmpxx/lorenz_gmpxx.cpp" target="_top">gmpxx/lorenz_gmpxx.cpp</a>
</p>
</td>
<td>
<p>
This examples integrates the Lorenz system by means of an arbitrary
precision type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/mtl/gauss_packet.cpp" target="_top">mtl/gauss_packet.cpp</a>
</p>
</td>
<td>
<p>
The MTL-Gauss-packet example shows how the MTL can be easily used
with odeint.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/mtl/implicit_euler_mtl.cpp" target="_top">mtl/implicit_euler_mtl.cpp</a>
</p>
</td>
<td>
<p>
This examples shows the usage of the MTL implicit Euler method
with a sparse matrix type.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/thrust/phase_oscillator_ensemble.cu" target="_top">thrust/phase_oscillator_ensemble.cu</a>
</p>
</td>
<td>
<p>
The Thrust phase oscillator ensemble example shows how globally
coupled oscillators can be analyzed with Thrust and CUDA, employing
the power of modern graphic devices.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/thrust/phase_oscillator_chain.cu" target="_top">thrust/phase_oscillator_chain.cu</a>
</p>
</td>
<td>
<p>
The Thrust phase oscillator chain example shows how chains of nearest
neighbor coupled oscillators can be integrated with Thrust and
odeint.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/thrust/lorenz_parameters.cu" target="_top">thrust/lorenz_parameters.cu</a>
</p>
</td>
<td>
<p>
The Lorenz parameters examples show how ensembles of ordinary differential
equations can be solved by means of Thrust to study the dependence
of an ODE on some parameters.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/thrust/relaxation.cu" target="_top">thrust/relaxation.cu</a>
</p>
</td>
<td>
<p>
Another examples for the usage of Thrust.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/ublas/lorenz_ublas.cpp" target="_top">ublas/lorenz_ublas.cpp</a>
</p>
</td>
<td>
<p>
This example shows how the ublas vector types can be used with
odeint.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/vexcl/lorenz_ensemble.cpp" target="_top">vexcl/lorenz_ensemble.cpp</a>
</p>
</td>
<td>
<p>
This example shows how the VexCL - a framework for OpenCL computation
- can be used with odeint.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/openmp/lorenz_ensemble_simple.cpp" target="_top">openmp/lorenz_ensemble_simple.cpp</a>
</p>
</td>
<td>
<p>
OpenMP Lorenz attractor parameter study with continuous data.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/openmp/lorenz_ensemble.cpp" target="_top">openmp/lorenz_ensemble.cpp</a>
</p>
</td>
<td>
<p>
OpenMP Lorenz attractor parameter study with split data.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/openmp/lorenz_ensemble.cpp" target="_top">openmp/lorenz_ensemble_nested.cpp</a>
</p>
</td>
<td>
<p>
OpenMP Lorenz attractor parameter study with nested <code class="computeroutput"><span class="identifier">vector_space_algebra</span></code>.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/openmp/phase_chain.cpp" target="_top">openmp/phase_chain.cpp</a>
</p>
</td>
<td>
<p>
OpenMP nearest neighbour coupled phase chain with continuous state.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/openmp/phase_chain_omp_state.cpp" target="_top">openmp/phase_chain_omp_state.cpp</a>
</p>
</td>
<td>
<p>
OpenMP nearest neighbour coupled phase chain with split state.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/mpi/phase_chain.cpp" target="_top">mpi/phase_chain.cpp</a>
</p>
</td>
<td>
<p>
MPI nearest neighbour coupled phase chain.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/2d_lattice/spreading.cpp" target="_top">2d_lattice/spreading.cpp</a>
</p>
</td>
<td>
<p>
This examples shows how a <code class="computeroutput"><span class="identifier">vector</span><span class="special"><</span> <span class="identifier">vector</span><span class="special"><</span> <span class="identifier">T</span>
<span class="special">></span> <span class="special">></span></code>
can be used a state type for odeint and how a resizing mechanism
of this state can be implemented.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/quadmath/black_hole.cpp" target="_top">quadmath/black_hole.cpp</a>
</p>
</td>
<td>
<p>
This examples shows how gcc libquadmath can be used with odeint.
It provides a high precision floating point type which is adapted
to odeint in this example.
</p>
</td>
</tr>
<tr>
<td>
<p>
<a href="https://github.com/headmyshoulder/odeint-v2/blob/master/examples/molecular_dynamics.cpp" target="_top">molecular_dynamics.cpp</a>
</p>
</td>
<td>
<p>
A very basic molecular dynamics simulation with the Velocity-Verlet
method.
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break">
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2009-2015 Karsten Ahnert and Mario Mulansky<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>)
</p>
</div></td>
</tr></table>
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