[/============================================================================ Boost.odeint Copyright 2011-2013 Karsten Ahnert Copyright 2011-2012 Mario Mulansky Copyright 2012 Sylwester Arabas Copyright 2013 Pascal Germroth Use, modification and distribution is subject to the Boost Software License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) =============================================================================/] [table Examples Overview [[File] [Brief Description]] [[[github_link examples/bind_member_functions.cpp bind_member_functions.cpp]] [This examples shows how member functions can be used as system functions in odeint.]] [[[github_link examples/bind_member_functions.cpp bind_member_functions_cpp11.cpp]] [This examples shows how member functions can be used as system functions in odeint with `std::bind` in C++11.]] [[[github_link examples/bulirsch_stoer.cpp bulirsch_stoer.cpp]] [Shows the usage of the Bulirsch-Stoer method.]] [[[github_link examples/chaotic_system.cpp chaotic_system.cpp]] [The chaotic system examples integrates the Lorenz system and calculates the Lyapunov exponents.]] [[[github_link examples/elliptic_functions.cpp elliptic_functions.cpp]] [Example calculating the elliptic functions using Bulirsch-Stoer and Runge-Kutta-Dopri5 Steppers with dense output.]] [[[github_link examples/fpu.cpp fpu.cpp]] [The Fermi-Pasta-Ulam (FPU) example shows how odeint can be used to integrate lattice systems.]] [[[github_link examples/generation_functions.cpp generation_functions.cpp]] [Shows skeletal code on how to implement own factory functions.]] [[[github_link examples/harmonic_oscillator.cpp harmonic_oscillator.cpp]] [The harmonic oscillator examples gives a brief introduction to odeint and shows the usage of the classical Runge-Kutta-solvers.]] [[[github_link examples/harmonic_oscillator_units.cpp harmonic_oscillator_units.cpp]] [This examples shows how __boost_units can be used with odeint.]] [[[github_link examples/heun.cpp heun.cpp]] [The Heun example shows how an custom Runge-Kutta stepper can be created with odeint generic Runge-Kutta method.]] [[[github_link examples/list_lattice.cpp list_lattice.cpp]] [Example of a phase lattice integration using `std::list` as state type.]] [[[github_link examples/lorenz_point.cpp lorenz_point.cpp]] [Alternative way of integrating lorenz by using a self defined point3d data type as state type.]] [[[github_link examples/my_vector.cpp my_vector.cpp]] [Simple example showing how to get odeint to work with a self-defined vector type.]] [[[github_link examples/phase_oscillator_ensemble.cpp phase_oscillator_ensemble.cpp]] [The phase oscillator ensemble example shows how globally coupled oscillators can be analyzed and how statistical measures can be computed during integration.]] [[[github_link examples/resizing_lattice.cpp resizing_lattice.cpp]] [Shows the strength of odeint's memory management by simulating a Hamiltonian system on an expanding lattice.]] [[[github_link examples/simple1d.cpp simple1d.cpp]] [Integrating a simple, one-dimensional ODE showing the usage of integrate- and generate-functions.]] [[[github_link examples/solar_system.cpp solar_system.cpp]] [The solar system example shows the usage of the symplectic solvers.]] [[[github_link examples/stepper_details.cpp stepper_details.cpp]] [Trivial example showing the usability of the several stepper classes.]] [[[github_link examples/stiff_system.cpp stiff_system.cpp]] [The stiff system example shows the usage of the stiff solvers using the Jacobian of the system function.]] [[[github_link examples/stochastic_euler.cpp stochastic_euler.cpp]] [Implementation of a custom stepper - the stochastic euler - for solving stochastic differential equations.]] [[[github_link examples/stuart_landau.cpp stuart_landau.cpp]] [The Stuart-Landau example shows how odeint can be used with complex state types.]] [[[github_link examples/two_dimensional_phase_lattice.cpp two_dimensional_phase_lattice.cpp]] [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.]] [[[github_link examples/van_der_pol_stiff.cpp van_der_pol_stiff.cpp]] [This stiff system example again shows the usage of the stiff solvers by integrating the van der Pol oscillator.]] [[[github_link examples/gmpxx/lorenz_gmpxx.cpp gmpxx/lorenz_gmpxx.cpp]] [This examples integrates the Lorenz system by means of an arbitrary precision type.]] [[[github_link examples/mtl/gauss_packet.cpp mtl/gauss_packet.cpp]] [The MTL-Gauss-packet example shows how the MTL can be easily used with odeint.]] [[[github_link examples/mtl/implicit_euler_mtl.cpp mtl/implicit_euler_mtl.cpp]] [This examples shows the usage of the MTL implicit Euler method with a sparse matrix type.]] [[[github_link examples/thrust/phase_oscillator_ensemble.cu thrust/phase_oscillator_ensemble.cu]] [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.]] [[[github_link examples/thrust/phase_oscillator_chain.cu thrust/phase_oscillator_chain.cu]] [The Thrust phase oscillator chain example shows how chains of nearest neighbor coupled oscillators can be integrated with Thrust and odeint.]] [[[github_link examples/thrust/lorenz_parameters.cu thrust/lorenz_parameters.cu]] [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.]] [[[github_link examples/thrust/relaxation.cu thrust/relaxation.cu]] [Another examples for the usage of Thrust.]] [[[github_link examples/ublas/lorenz_ublas.cpp ublas/lorenz_ublas.cpp]] [This example shows how the ublas vector types can be used with odeint.]] [[[github_link examples/vexcl/lorenz_ensemble.cpp vexcl/lorenz_ensemble.cpp]] [This example shows how the VexCL - a framework for OpenCL computation - can be used with odeint.]] [[[github_link examples/openmp/lorenz_ensemble_simple.cpp openmp/lorenz_ensemble_simple.cpp]] [OpenMP Lorenz attractor parameter study with continuous data.]] [[[github_link examples/openmp/lorenz_ensemble.cpp openmp/lorenz_ensemble.cpp]] [OpenMP Lorenz attractor parameter study with split data.]] [[[github_link examples/openmp/lorenz_ensemble.cpp openmp/lorenz_ensemble_nested.cpp]] [OpenMP Lorenz attractor parameter study with nested `vector_space_algebra`.]] [[[github_link examples/openmp/phase_chain.cpp openmp/phase_chain.cpp]] [OpenMP nearest neighbour coupled phase chain with continuous state.]] [[[github_link examples/openmp/phase_chain_omp_state.cpp openmp/phase_chain_omp_state.cpp]] [OpenMP nearest neighbour coupled phase chain with split state.]] [[[github_link examples/mpi/phase_chain.cpp mpi/phase_chain.cpp]] [MPI nearest neighbour coupled phase chain.]] [[[github_link examples/2d_lattice/spreading.cpp 2d_lattice/spreading.cpp]] [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.]] [[[github_link examples/quadmath/black_hole.cpp quadmath/black_hole.cpp]] [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.]] [[[github_link examples/molecular_dynamics.cpp molecular_dynamics.cpp]] [A very basic molecular dynamics simulation with the Velocity-Verlet method.]] ]