TimeIntegration Namespace Reference

Utilities for time integration. More...

Classes
class	BDF
	Helper class for Backwards Difference Formula integration schemes. More...
class	BDFD2
	Helper class for Backwards Difference schemes for 2nd order problems. More...
class	SIMExplicitLMM
	Explicit linear multistep time stepping for SIM classes. More...
class	SIMExplicitRK
	Explicit Runge-Kutta based time stepping for SIM classes. More...
class	SIMExplicitRKE
	Explicit embedded Runge-Kutta based time stepping for SIM classes. More...
class	SIMImplicitLMM
	Implicit multi-step time integration for SIM classes. More...
struct	RKTableaux
	Struct holding a Runge-Kutta tableaux. More...

Enumerations
enum	Method {   NONE = 0 , EULER , HEUN , RK3 ,   RK4 , AB1 , AB2 , AB3 ,   AB4 , AB5 , AM1 , AM2 ,   AM3 , AM4 , BE , BDF2 ,   HEUNEULER , BOGACKISHAMPINE , FEHLBERG , THETA }
	Enum defining various solution methods. More...

Functions
Method	get (const std::string &type)
	Maps a text string into a Method enum value.
int	Order (Method method)
	Returns the temporal order of the given method.
int	Steps (Method method)
	Returns the number of steps the given method.

Detailed Description

Utilities for time integration.

Enumeration Type Documentation

Method

enum TimeIntegration::Method

Enum defining various solution methods.

The BE and HEUNEULER methods are used as starting markers for implicit methods and embedded methods, respecively. Therefore keep them first in these groups.

Enumerator
NONE	No time integration.
EULER	Forward Euler, explicit.
HEUN	Heun-Euler, explicit.
RK3	Kutta's third order method, explicit.
RK4	Kutta's fourth order method, explicit.
AB1	First order Adams-Bashforth, explicit.
AB2	Second order Adams-Bashforth, explicit.
AB3	Third order Adams-Bashforth, explicit.
AB4	Fourth order Adams-Bashforth, explicit.
AB5	Fifth order Adams-Bashforth, explicit.
AM1	First order Adams-Moulton, implicit.
AM2	Second order Adams-Moulton, implicit.
AM3	Third order Adams-Moulton, implicit.
AM4	Fourth order Adams-Moulton, implicit.
BE	Backward Euler, implicit.
BDF2	Second order backward differencing, implicit.
HEUNEULER	Heun-Euler embedded order 1(2)
BOGACKISHAMPINE	Bogacki-Shampine order 2(3)
FEHLBERG	Runge-Kutta-Fehlberg order 4(5)
THETA	Theta rule (includes EULER, BE and Crank-Nicolson)