Explicit RK Merson Butcher Tableau. More...

#include <Tempus_StepperRKButcherTableau.hpp>

Inheritance diagram for Tempus::StepperERK_Merson45< Scalar >:

Public Member Functions
	StepperERK_Merson45 ()

	StepperERK_Merson45 (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel, const Teuchos::RCP< StepperRKObserverComposite< Scalar > > &obs, bool useFSAL, std::string ICConsistency, bool ICConsistencyCheck, bool useEmbedded)

std::string	getDescription () const

Public Member Functions inherited from Tempus::StepperExplicitRK< Scalar >
Teuchos::RCP< const Teuchos::ParameterList >	getValidParameters () const

virtual void	setObserver (Teuchos::RCP< StepperObserver< Scalar > > obs=Teuchos::null)
	Set Observer. More...

virtual Teuchos::RCP< const RKButcherTableau< Scalar > >	getTableau ()

virtual Teuchos::RCP < StepperObserver< Scalar > >	getObserver () const
	Get Observer. More...

virtual void	initialize ()
	Initialize during construction and after changing input parameters. More...

virtual void	setInitialConditions (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory)
	Set the initial conditions and make them consistent. More...

virtual void	takeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory)
	Take the specified timestep, dt, and return true if successful. More...

virtual Teuchos::RCP < Tempus::StepperState< Scalar > >	getDefaultStepperState ()
	Get a default (initial) StepperState. More...

virtual Scalar	getOrder () const

virtual Scalar	getOrderMin () const

virtual Scalar	getOrderMax () const

virtual Scalar	getInitTimeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory) const

virtual Teuchos::RCP < Thyra::VectorBase< Scalar > >	getStageX ()

virtual bool	isExplicit () const

virtual bool	isImplicit () const

virtual bool	isExplicitImplicit () const

virtual bool	isOneStepMethod () const

virtual bool	isMultiStepMethod () const

virtual OrderODE	getOrderODE () const

void	getValidParametersBasicERK (Teuchos::RCP< Teuchos::ParameterList > pl) const

virtual void	describe (Teuchos::FancyOStream &out, const Teuchos::EVerbosityLevel verbLevel) const

virtual void	setUseEmbedded (bool a)
	Use embedded if avialable. More...

virtual bool	getUseEmbedded () const

virtual bool	getUseEmbeddedDefault () const

Public Member Functions inherited from Tempus::StepperExplicit< Scalar >
virtual void	setModel (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel)

virtual void	setNonConstModel (const Teuchos::RCP< Thyra::ModelEvaluator< Scalar > > &appModel)

virtual Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > >	getModel ()

virtual void	setSolver (Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > solver=Teuchos::null)
	Set solver. More...

virtual Teuchos::RCP < Thyra::NonlinearSolverBase < Scalar > >	getSolver () const
	Get solver. More...

virtual void	setInitialGuess (Teuchos::RCP< const Thyra::VectorBase< Scalar > >)
	Pass initial guess to Newton solver (only relevant for implicit solvers) More...

virtual void	setStepperX (Teuchos::RCP< Thyra::VectorBase< Scalar > > x)
	Set x for Stepper storage. More...

virtual void	setStepperXDot (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDot)
	Set xDot for Stepper storage. More...

virtual void	setStepperXDotDot (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDotDot)
	Set x for Stepper storage. More...

virtual Teuchos::RCP < Thyra::VectorBase< Scalar > >	getStepperX (Teuchos::RCP< SolutionState< Scalar > > state)
	Get x from SolutionState or Stepper storage. More...

virtual Teuchos::RCP < Thyra::VectorBase< Scalar > >	getStepperXDot (Teuchos::RCP< SolutionState< Scalar > > state)
	Get xDot from SolutionState or Stepper storage. More...

virtual Teuchos::RCP < Thyra::VectorBase< Scalar > >	getStepperXDotDot (Teuchos::RCP< SolutionState< Scalar > > state)
	Get xDotDot from SolutionState or Stepper storage. More...

virtual void	evaluateExplicitODE (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDot, Teuchos::RCP< const Thyra::VectorBase< Scalar > > x, const Scalar time, const Teuchos::RCP< ExplicitODEParameters< Scalar > > &p)
	Evaluate xDot = f(x,t). More...

virtual void	evaluateExplicitODE (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDotDot, Teuchos::RCP< const Thyra::VectorBase< Scalar > > x, Teuchos::RCP< const Thyra::VectorBase< Scalar > > xDot, const Scalar time, const Teuchos::RCP< ExplicitODEParameters< Scalar > > &p)
	Evaluate xDotDot = f(x, xDot, t). More...

Public Member Functions inherited from Tempus::Stepper< Scalar >
void	setStepperType (std::string s)

std::string	getStepperType () const

void	setUseFSAL (bool a)

bool	getUseFSAL () const

virtual bool	getUseFSALDefault () const

void	setICConsistency (std::string s)

std::string	getICConsistency () const

virtual std::string	getICConsistencyDefault () const

void	setICConsistencyCheck (bool c)

bool	getICConsistencyCheck () const

virtual bool	getICConsistencyCheckDefault () const

virtual std::string	description () const

virtual void	createSubSteppers (std::vector< Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > >)

Protected Member Functions
void	setupTableau ()

Protected Member Functions inherited from Tempus::StepperExplicitRK< Scalar >
virtual void	setupDefault ()
	Default setup for constructor. More...

virtual void	setup (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel, const Teuchos::RCP< StepperRKObserverComposite< Scalar > > &obs, bool useFSAL, std::string ICConsistency, bool ICConsistencyCheck, bool useEmbedded)
	Setup for constructor. More...

Additional Inherited Members
Protected Attributes inherited from Tempus::StepperExplicitRK< Scalar >
Teuchos::RCP< RKButcherTableau < Scalar > >	tableau_

std::vector< Teuchos::RCP < Thyra::VectorBase< Scalar > > >	stageXDot_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	stageX_

Teuchos::RCP < StepperRKObserverComposite < Scalar > >	stepperObserver_

bool	useEmbedded_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	ee_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	abs_u0

Teuchos::RCP < Thyra::VectorBase< Scalar > >	abs_u

Teuchos::RCP < Thyra::VectorBase< Scalar > >	sc

Protected Attributes inherited from Tempus::StepperExplicit< Scalar >
Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > >	appModel_
	Explicit ODE ModelEvaluator. More...

Thyra::ModelEvaluatorBase::InArgs < Scalar >	inArgs_

Thyra::ModelEvaluatorBase::OutArgs < Scalar >	outArgs_

Teuchos::RCP< StepperObserver < Scalar > >	stepperObserver_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	stepperX_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	stepperXDot_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	stepperXDotDot_

Detailed Description

template<class Scalar>
class Tempus::StepperERK_Merson45< Scalar >

Explicit RK Merson Butcher Tableau.

The tableau (order=4(5)) is

$\begin{array}{c|c} c & A \\ \hline & b^T \\ & b^{*T} \end{array} \;\;\;\;\mbox{ where }\;\;\;\; \begin{array}{c|ccccc} 0 & 0 & & & & \\ 1/3 & 1/3 & 0 & & & \\ 1/3 & 1/6 & 1/6 & 0 & & \\ 1/2 & 1/8 & 0 & 3/8 & & \\ 1 & 1/2 & 0 & -3/2 & 2 & \\ \hline & 1/6 & 0 & 0 & 2/3 & 1/6 \\ & 1/10 & 0 & 3/10 & 2/5 & 1/5 \end{array}$

Reference: E. Hairer, S.P. Norsett, G. Wanner, "Solving Ordinary Differential Equations I: Nonstiff Problems", 2nd Revised Edition, Table 4.1, pg 167.

Definition at line 325 of file Tempus_StepperRKButcherTableau.hpp.

Constructor & Destructor Documentation

template<class Scalar >

Tempus::StepperERK_Merson45< Scalar >::StepperERK_Merson45 ( )

inline

Definition at line 329 of file Tempus_StepperRKButcherTableau.hpp.

template<class Scalar >

Tempus::StepperERK_Merson45< Scalar >::StepperERK_Merson45	(	const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &	appModel,
		const Teuchos::RCP< StepperRKObserverComposite< Scalar > > &	obs,
		bool	useFSAL,
		std::string	ICConsistency,
		bool	ICConsistencyCheck,
		bool	useEmbedded
	)