ceph/src/boost/libs/numeric/odeint/doc/examples_table.qbk

   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 ]