TimeStepping Namespace Reference

Classes
class	EmbeddedExplicitRungeKutta
class	ExplicitRungeKutta
class	ImplicitRungeKutta
class	RungeKutta
class	TimeStepping

Enumerations

Detailed Description

Namespace containing the time stepping methods.

Author

Bruno Turcksin

Date

2014

Enumeration Type Documentation

enum TimeStepping::runge_kutta_method

The following Runge-Kutta methods are available:

• Explicit methods (see ExplicitRungeKutta::initialize):
  • FORWARD_EULER (first order)
  • RK_THIRD_ORDER (third order Runge-Kutta)
  • RK_CLASSIC_FOURTH_ORDER (classical fourth order Runge-Kutta)
• Implicit methods (see ImplicitRungeKutta::initialize):
  • BACKWARD_EULER (first order)
  • IMPLICIT_MIDPOINT (second order)
  • CRANK_NICOLSON (second order)
  • SDIRK_TWO_STAGES (second order)
• Embedded explicit methods (see EmbeddedExplicitRungeKutta::initialize):
  • HEUN_EULER (second order)
  • BOGACKI_SHAMPINE (third order)
  • DOPRI: Dormand-Prince (fifth order; this is the method used by ode45 in MATLAB)
  • FEHLBERG (fifth order)
  • CASH_KARP (firth order)

Definition at line 57 of file time_stepping.h.

enum TimeStepping::embedded_runge_kutta_time_step

Reason for exiting evolve_one_time_step when using an embedded method: DELTA_T (the time step is in the valid range), MIN_DELTA_T (the time step was increased to the minimum acceptable time step), MAX_DELTA_T (the time step was reduced to the maximum acceptable time step).

Definition at line 82 of file time_stepping.h.