RK Trapezoidal Rule (A.K.A. RK Crank-Nicolson) More...

#include <Tempus_StepperRKButcherTableau.hpp>

Inheritance diagram for Tempus::StepperEDIRK_TrapezoidalRule< Scalar >:

Public Member Functions
	StepperEDIRK_TrapezoidalRule ()

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

std::string	getDescription () const

virtual bool	getICConsistencyCheckDefault () const

Teuchos::RCP< const Teuchos::ParameterList >	getValidParameters () const

Public Member Functions inherited from Tempus::StepperDIRK< Scalar >
virtual Scalar	getAlpha (const Scalar dt) const
	Return alpha = d(xDot)/dx. More...

virtual Scalar	getBeta (const Scalar) const
	Return beta = d(x)/dx. More...

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	setResetInitialGuess (bool reset_guess)
	Set parameter so that the initial guess is reset at the beginning of each timestep. More...

virtual bool	getResetInitialGuess () const

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 bool	isExplicit () const

virtual bool	isImplicit () const

virtual bool	isExplicitImplicit () const

virtual bool	isOneStepMethod () const

virtual bool	isMultiStepMethod () const

virtual OrderODE	getOrderODE () const

void	getValidParametersBasicDIRK (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::StepperImplicit< 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 Teuchos::RCP< const WrapperModelEvaluator< Scalar > >	getWrapperModel ()

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...

const Thyra::SolveStatus< Scalar >	solveImplicitODE (const Teuchos::RCP< Thyra::VectorBase< Scalar > > &x)
	Solve problem using x in-place. (Needs to be deprecated!) More...

const Thyra::SolveStatus< Scalar >	solveImplicitODE (const Teuchos::RCP< Thyra::VectorBase< Scalar > > &x, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &xDot, const Scalar time, const Teuchos::RCP< ImplicitODEParameters< Scalar > > &p)
	Solve implicit ODE, f(x, xDot, t, p) = 0. More...

void	evaluateImplicitODE (Teuchos::RCP< Thyra::VectorBase< Scalar > > &f, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &x, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &xDot, const Scalar time, const Teuchos::RCP< ImplicitODEParameters< Scalar > > &p)
	Evaluate implicit ODE residual, f(x, xDot, t, p). More...

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

virtual void	setZeroInitialGuess (bool zIG)
	Set parameter so that the initial guess is set to zero (=True) or use last timestep (=False). More...

virtual bool	getZeroInitialGuess () const

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

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

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 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::StepperDIRK< Scalar >
virtual void	setupDefault ()
	Default setup for constructor. More...

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

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

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

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

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

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

bool	resetGuess_ = true

Protected Attributes inherited from Tempus::StepperImplicit< Scalar >
Teuchos::RCP < WrapperModelEvaluator < Scalar > >	wrapperModel_

Teuchos::RCP < Thyra::NonlinearSolverBase < Scalar > >	solver_

Teuchos::RCP< const Thyra::VectorBase< Scalar > >	initial_guess_

bool	zeroInitialGuess_

Teuchos::RCP< StepperObserver < Scalar > >	stepperObserver_

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

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

Detailed Description

template<class Scalar>
class Tempus::StepperEDIRK_TrapezoidalRule< Scalar >

RK Trapezoidal Rule (A.K.A. RK Crank-Nicolson)

The tableau (order=3) is

$\begin{array}{c|c} c & A \\ \hline & b^T \end{array} \;\;\;\;\mbox{ where }\;\;\;\; \begin{array}{c|cc} 0 & 0 & \\ 1 & 1/2 & 1/2 \\ \hline & 1/2 & 1/2 \end{array}$

It is second-order accurate and A-stable.

Reference: Computer Methods for ODEs and DAEs, U. M. Ascher and L. R. Petzold, p. 113.

Definition at line 2148 of file Tempus_StepperRKButcherTableau.hpp.

Constructor & Destructor Documentation

template<class Scalar >

Tempus::StepperEDIRK_TrapezoidalRule< Scalar >::StepperEDIRK_TrapezoidalRule ( )

inline

Definition at line 2152 of file Tempus_StepperRKButcherTableau.hpp.

template<class Scalar >

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