1[/============================================================================
2  Boost.odeint
3
4  Copyright 2011-2013 Karsten Ahnert
5  Copyright 2011-2012 Mario Mulansky
6  Copyright 2012 Sylwester Arabas
7  Copyright 2013 Pascal Germroth
8
9  Use, modification and distribution is subject to the Boost Software License,
10  Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
11  http://www.boost.org/LICENSE_1_0.txt)
12=============================================================================/]
13
14
15[table Examples Overview
16  [[File] [Brief Description]]
17
18  [[[github_link examples/bind_member_functions.cpp bind_member_functions.cpp]]
19  [This examples shows how member functions can be used as system functions in odeint.]]
20
21  [[[github_link examples/bind_member_functions.cpp bind_member_functions_cpp11.cpp]]
22  [This examples shows how member functions can be used as system functions in odeint with `std::bind` in C++11.]]
23
24  [[[github_link examples/bulirsch_stoer.cpp bulirsch_stoer.cpp]]
25  [Shows the usage of the Bulirsch-Stoer method.]]
26
27  [[[github_link examples/chaotic_system.cpp chaotic_system.cpp]]
28  [The chaotic system examples integrates the Lorenz system and calculates the Lyapunov exponents.]]
29
30  [[[github_link examples/elliptic_functions.cpp elliptic_functions.cpp]]
31  [Example calculating the elliptic functions using Bulirsch-Stoer and Runge-Kutta-Dopri5 Steppers with dense output.]]
32
33  [[[github_link examples/fpu.cpp fpu.cpp]]
34  [The Fermi-Pasta-Ulam (FPU) example shows how odeint can be used to integrate lattice systems.]]
35
36  [[[github_link examples/generation_functions.cpp generation_functions.cpp]]
37  [Shows skeletal code on how to implement own factory functions.]]
38
39  [[[github_link examples/harmonic_oscillator.cpp harmonic_oscillator.cpp]]
40  [The harmonic oscillator examples gives a brief introduction to odeint and shows the usage of the classical Runge-Kutta-solvers.]]
41
42  [[[github_link examples/harmonic_oscillator_units.cpp harmonic_oscillator_units.cpp]]
43  [This examples shows how __boost_units can be used with odeint.]]
44
45  [[[github_link examples/heun.cpp heun.cpp]]
46  [The Heun example shows how an custom Runge-Kutta stepper can be created with odeint generic Runge-Kutta method.]]
47
48  [[[github_link examples/list_lattice.cpp list_lattice.cpp]]
49  [Example of a phase lattice integration using `std::list` as state type.]]
50
51  [[[github_link examples/lorenz_point.cpp lorenz_point.cpp]]
52  [Alternative way of integrating lorenz by using a self defined point3d data type as state type.]]
53
54  [[[github_link examples/my_vector.cpp my_vector.cpp]]
55  [Simple example showing how to get odeint to work with a self-defined vector type.]]
56
57  [[[github_link examples/phase_oscillator_ensemble.cpp phase_oscillator_ensemble.cpp]]
58  [The phase oscillator ensemble example shows how globally coupled oscillators can be analyzed and how statistical measures can be computed during integration.]]
59
60  [[[github_link examples/resizing_lattice.cpp resizing_lattice.cpp]]
61  [Shows the strength of odeint's memory management by simulating a Hamiltonian system on an expanding lattice.]]
62
63  [[[github_link examples/simple1d.cpp simple1d.cpp]]
64  [Integrating a simple, one-dimensional ODE showing the usage of integrate- and generate-functions.]]
65
66  [[[github_link examples/solar_system.cpp solar_system.cpp]]
67  [The solar system example shows the usage of the symplectic solvers.]]
68
69  [[[github_link examples/stepper_details.cpp stepper_details.cpp]]
70  [Trivial example showing the usability of the several stepper classes.]]
71
72  [[[github_link examples/stiff_system.cpp stiff_system.cpp]]
73  [The stiff system example shows the usage of the stiff solvers using the Jacobian of the system function.]]
74
75  [[[github_link examples/stochastic_euler.cpp stochastic_euler.cpp]]
76  [Implementation of a custom stepper - the stochastic euler -  for solving stochastic differential equations.]]
77
78  [[[github_link examples/stuart_landau.cpp stuart_landau.cpp]]
79  [The Stuart-Landau example shows how odeint can be used with complex state types.]]
80
81  [[[github_link examples/two_dimensional_phase_lattice.cpp two_dimensional_phase_lattice.cpp]]
82  [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.]]
83
84  [[[github_link examples/van_der_pol_stiff.cpp van_der_pol_stiff.cpp]]
85  [This stiff system example again shows the usage of the stiff solvers by integrating the van der Pol oscillator.]]
86
87  [[[github_link examples/gmpxx/lorenz_gmpxx.cpp gmpxx/lorenz_gmpxx.cpp]]
88  [This examples integrates the Lorenz system by means of an arbitrary precision type.]]
89
90  [[[github_link examples/mtl/gauss_packet.cpp mtl/gauss_packet.cpp]]
91  [The MTL-Gauss-packet example shows how the MTL can be easily used with odeint.]]
92
93  [[[github_link examples/mtl/implicit_euler_mtl.cpp mtl/implicit_euler_mtl.cpp]]
94  [This examples shows the usage of the MTL implicit Euler method with a sparse matrix type.]]
95
96  [[[github_link examples/thrust/phase_oscillator_ensemble.cu thrust/phase_oscillator_ensemble.cu]]
97  [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.]]
98
99  [[[github_link examples/thrust/phase_oscillator_chain.cu thrust/phase_oscillator_chain.cu]]
100  [The Thrust phase oscillator chain example shows how chains of nearest neighbor coupled oscillators can be integrated with Thrust and odeint.]]
101
102  [[[github_link examples/thrust/lorenz_parameters.cu thrust/lorenz_parameters.cu]]
103  [The Lorenz parameters examples show how ensembles of ordinary differential equations can be solved by means of Thrust to study
104  the dependence of an ODE on some parameters.]]
105
106  [[[github_link examples/thrust/relaxation.cu thrust/relaxation.cu]]
107  [Another examples for the usage of Thrust.]]
108
109  [[[github_link examples/ublas/lorenz_ublas.cpp ublas/lorenz_ublas.cpp]]
110  [This example shows how the ublas vector types can be used with odeint.]]
111
112  [[[github_link examples/vexcl/lorenz_ensemble.cpp vexcl/lorenz_ensemble.cpp]]
113  [This example shows how the VexCL - a framework for OpenCL computation - can be used with odeint.]]
114
115  [[[github_link examples/openmp/lorenz_ensemble_simple.cpp openmp/lorenz_ensemble_simple.cpp]]
116  [OpenMP Lorenz attractor parameter study with continuous data.]]
117
118  [[[github_link examples/openmp/lorenz_ensemble.cpp openmp/lorenz_ensemble.cpp]]
119  [OpenMP Lorenz attractor parameter study with split data.]]
120
121  [[[github_link examples/openmp/lorenz_ensemble.cpp openmp/lorenz_ensemble_nested.cpp]]
122  [OpenMP Lorenz attractor parameter study with nested `vector_space_algebra`.]]
123
124  [[[github_link examples/openmp/phase_chain.cpp openmp/phase_chain.cpp]]
125  [OpenMP nearest neighbour coupled phase chain with continuous state.]]
126
127  [[[github_link examples/openmp/phase_chain_omp_state.cpp openmp/phase_chain_omp_state.cpp]]
128  [OpenMP nearest neighbour coupled phase chain with split state.]]
129
130  [[[github_link examples/mpi/phase_chain.cpp mpi/phase_chain.cpp]]
131  [MPI nearest neighbour coupled phase chain.]]
132
133  [[[github_link examples/2d_lattice/spreading.cpp 2d_lattice/spreading.cpp]]
134  [This examples shows how a `vector< vector< T > >` can be used a state type for odeint and how a resizing mechanism of this state can be implemented.]]
135
136  [[[github_link examples/quadmath/black_hole.cpp quadmath/black_hole.cpp]]
137  [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.]]
138
139  [[[github_link examples/molecular_dynamics.cpp molecular_dynamics.cpp]]
140  [A very basic molecular dynamics simulation with the Velocity-Verlet method.]]
141
142]
143