| [/============================================================================ |
| Boost.odeint |
| |
| Copyright 2011-2012 Karsten Ahnert |
| Copyright 2011-2012 Mario Mulansky |
| Copyright 2012 Sylwester Arabas |
| |
| 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 Stepper Algorithms |
| [[Algorithm] [Class] [Concept] [System Concept] [Order] [Error Estimation] [Dense Output] [Internal state] [Remarks]] |
| [[Explicit Euler] [`euler`] [__dense_output_stepper] [__system] [1] [No] [Yes] [No] [Very simple, only for demonstrating purpose]] |
| [[Modified Midpoint] [`modified_midpoint`] [__stepper] [__system] [configurable (2)] [No] [No] [No] [Used in Bulirsch-Stoer implementation]] |
| [[Runge-Kutta 4] [`runge_kutta4`] [__stepper] [__system] [4] [No] [No] [No] [The classical Runge-Kutta scheme, good general scheme without error control]] |
| [[Cash-Karp] [`runge_kutta_cash_karp54`] [__error_stepper] [__system] [5] [Yes (4)] [No] [No] [Good general scheme with error estimation, to be used in controlled_error_stepper]] |
| [[Dormand-Prince 5] [`runge_kutta_dopri5`] [__error_stepper] [__system] [5] [Yes (4)] [Yes] [Yes] [Standard method with error control and dense output, to be used in controlled_error_stepper and in dense_output_controlled_explicit_fsal.]] |
| [[Fehlberg 78] [`runge_kutta_fehlberg78`] [__error_stepper] [__system] [8] [Yes (7)] [No] [No] [Good high order method with error estimation, to be used in controlled_error_stepper.]] |
| |
| [[Adams Bashforth] [`adams_bashforth`] [__stepper] [__system] [configurable] [No] [No] [Yes] [Multistep method]] |
| [[Adams Moulton] [`adams_moulton`] [__stepper] [__system] [configurable] [No] [No] [Yes] [Multistep method]] |
| [[Adams Bashforth Moulton] [`adams_bashforth_moulton`] [__stepper] [__system] [configurable] [No] [No] [Yes] [Combined multistep method]] |
| |
| [[Controlled Runge-Kutta] [`controlled_runge_kutta`] [__controlled_stepper] [__system] [depends] [Yes] [No] [depends] [Error control for __error_stepper. Requires an __error_stepper from above. Order depends on the given ErrorStepper]] |
| [[Dense Output Runge-Kutta] [`dense_output_runge_kutta`] [__dense_output_stepper] [__system] [depends] [No] [Yes] [Yes] [Dense output for __stepper and __error_stepper from above if they provide dense output functionality (like `euler` and `runge_kutta_dopri5`). Order depends on the given stepper.]] |
| |
| [[Bulirsch-Stoer] [`bulirsch_stoer`] [__controlled_stepper] [__system] [variable] [Yes] [No] [No] [Stepper with step size and order control. Very good if high precision is required.]] |
| [[Bulirsch-Stoer Dense Output] [`bulirsch_stoer_dense_out`] [__dense_output_stepper] [__system] [variable] [Yes] [Yes] [No] [Stepper with step size and order control as well as dense output. Very good if high precision and dense output is required.]] |
| |
| [[Implicit Euler] [`implicit_euler`] [__stepper] [__implicit_system] [1] [No] [No] [No] [Basic implicit routine. Requires the Jacobian. Works only with __ublas vectors as state types.]] |
| [[Rosenbrock 4] [`rosenbrock4`] [__error_stepper] [__implicit_system] [4] [Yes] [Yes] [No] [Good for stiff systems. Works only with __ublas vectors as state types.]] |
| [[Controlled Rosenbrock 4] [`rosenbrock4_controller`] [__controlled_stepper] [__implicit_system] [4] [Yes] [Yes] [No] [Rosenbrock 4 with error control. Works only with __ublas vectors as state types.]] |
| [[Dense Output Rosenbrock 4] [`rosenbrock4_dense_output`] [__dense_output_stepper] [__implicit_system] [4] [Yes] [Yes] [No] [Controlled Rosenbrock 4 with dense output. Works only with __ublas vectors as state types.]] |
| |
| [[Symplectic Euler] [`symplectic_euler`] [__stepper] [__symplectic_system __simple_symplectic_system] [1] [No] [No] [No] [Basic symplectic solver for separable Hamiltonian system]] |
| [[Symplectic RKN McLachlan] [`symplectic_rkn_sb3a_mclachlan`] [__stepper] [__symplectic_system __simple_symplectic_system] [4] [No] [No] [No] [Symplectic solver for separable Hamiltonian system with 6 stages and order 4.]] |
| [[Symplectic RKN McLachlan] [`symplectic_rkn_sb3a_m4_mclachlan`] [__stepper] [__symplectic_system __simple_symplectic_system] [4] [No] [No] [No] [Symplectic solver with 5 stages and order 4, can be used with arbitrary precision types.]] |
| |
| [[Velocity Verlet] [`velocity_verlet`] [__stepper] [__second_order_system] [1] [No] [No] [Yes] [Velocity verlet method suitable for molecular dynamics simulation.]] |
| ] |
