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| <div class="section"> |
| <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"> |
| </div> |
| <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 © 2009-2012 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> |
| <hr> |
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