Backward Euler time stepper. More...

#include <Tempus_StepperBackwardEuler_decl.hpp>

Inheritance diagram for Tempus::StepperBackwardEuler< Scalar >:

Public Member Functions
	StepperBackwardEuler ()
	Default constructor. More...

	StepperBackwardEuler (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel, const Teuchos::RCP< StepperObserver< Scalar > > &obs, const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &solver, const Teuchos::RCP< Stepper< Scalar > > &predictorStepper, bool useFSAL, std::string ICConsistency, bool ICConsistencyCheck, bool zeroInitialGuess)
	Constructor. More...

	StepperBackwardEuler (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel, const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &solver, const Teuchos::RCP< Stepper< Scalar > > &predictorStepper, bool useFSAL, std::string ICConsistency, bool ICConsistencyCheck, bool zeroInitialGuess, const Teuchos::RCP< StepperBackwardEulerAppAction< Scalar > > &stepperBEAppAction)
	Constructor. More...

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	computePredictor (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory)
	Compute predictor given the supplied stepper. More...

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

virtual bool	isValidSetup (Teuchos::FancyOStream &out) const

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

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

virtual void	setAppAction (Teuchos::RCP< StepperBackwardEulerAppAction< Scalar > > appAction)

virtual Teuchos::RCP < StepperBackwardEulerAppAction < Scalar > >	getAppAction () const

void	setPredictor (std::string predictorType="None")
	Set the predictor. More...

void	setPredictor (Teuchos::RCP< Stepper< Scalar > > predictorStepper)
	Set the predictor. 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 bool	isExplicit () const

virtual bool	isImplicit () const

virtual bool	isExplicitImplicit () const

virtual bool	isOneStepMethod () const

virtual bool	isMultiStepMethod () const

virtual OrderODE	getOrderODE () const

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

Implementation of StepperOptimizationInterface
virtual int	stencilLength () const
	Return the number of solution vectors in the time step stencil. More...

virtual void	computeStepResidual (Thyra::VectorBase< Scalar > &residual, const Teuchos::Array< Teuchos::RCP< const Thyra::VectorBase< Scalar > > > &x, const Teuchos::Array< Scalar > &t, const Thyra::VectorBase< Scalar > &p, const int param_index) const
	Compute time step residual. More...

virtual void	computeStepJacobian (Thyra::LinearOpBase< Scalar > &jacobian, const Teuchos::Array< Teuchos::RCP< const Thyra::VectorBase< Scalar > > > &x, const Teuchos::Array< Scalar > &t, const Thyra::VectorBase< Scalar > &p, const int param_index, const int deriv_index) const
	Compute time step Jacobian. More...

virtual void	computeStepParamDeriv (Thyra::LinearOpBase< Scalar > &deriv, const Teuchos::Array< Teuchos::RCP< const Thyra::VectorBase< Scalar > > > &x, const Teuchos::Array< Scalar > &t, const Thyra::VectorBase< Scalar > &p, const int param_index) const
	Compute time step derivative w.r.t. model parameters. More...

virtual void	computeStepSolver (Thyra::LinearOpWithSolveBase< Scalar > &jacobian_solver, const Teuchos::Array< Teuchos::RCP< const Thyra::VectorBase< Scalar > > > &x, const Teuchos::Array< Scalar > &t, const Thyra::VectorBase< Scalar > &p, const int param_index) const
	Compute time step Jacobian solver. More...

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

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

virtual Teuchos::RCP< const WrapperModelEvaluator< Scalar > >	getWrapperModel ()

virtual void	setDefaultSolver ()

virtual void	setSolver (Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > solver)
	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 > > initialGuess)
	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

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

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

virtual bool	isInitialized ()
	True if stepper's member data is initialized. More...

virtual void	checkInitialized ()
	Check initialization, and error out on failure. More...

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 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 std::string	description () const

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

Public Member Functions inherited from Tempus::StepperOptimizationInterface< Scalar >
	StepperOptimizationInterface ()

virtual	~StepperOptimizationInterface ()

Private Member Functions
void	computeStepResidDerivImpl (const Thyra::ModelEvaluatorBase::OutArgs< Scalar > &outArgs, const Teuchos::Array< Teuchos::RCP< const Thyra::VectorBase< Scalar > > > &x, const Teuchos::Array< Scalar > &t, const Thyra::VectorBase< Scalar > &p, const int param_index, const int deriv_index=0) const
	Implementation of computeStep*() methods. More...

Private Attributes
Teuchos::RCP< Stepper< Scalar > >	predictorStepper_

Teuchos::RCP < StepperBackwardEulerObserver < Scalar > >	stepperBEObserver_

Teuchos::RCP < StepperBackwardEulerAppAction < Scalar > >	stepperBEAppAction_

Additional Inherited Members
Protected Member Functions inherited from Tempus::Stepper< Scalar >
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...

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

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

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

bool	zeroInitialGuess_

Teuchos::RCP< StepperObserver < Scalar > >	stepperObserver_

Protected Attributes inherited from Tempus::Stepper< Scalar >
bool	isInitialized_ = false
	True if stepper's member data is initialized. More...

Detailed Description

template<class Scalar>
class Tempus::StepperBackwardEuler< Scalar >

Backward Euler time stepper.

For the implicit ODE system, $\mathcal{F}(\dot{x},x,t) = 0$ , the solution, $\dot{x}$ and $x$ , is determined using a solver (e.g., a non-linear solver, like NOX).

Algorithm The single-timestep algorithm for Backward Euler is

$\begin{algorithm} \renewcommand{\thealgorithm}{} \caption{Backward Euler} \begin{algorithmic}[1] \State {\it appAction.execute(solutionHistory, stepper, BEGIN\_STEP)} \State Compute the predictor (e.g., apply stepper to $x_n$). \State {\it appAction.execute(solutionHistory, stepper, BEFORE\_SOLVE)} \State Solve $\mathcal{F}_n(\dot{x}=(x_n-x_{n-1})/\Delta t_n, x_n, t_n)=0$ for $x_n$ \State {\it appAction.execute(solutionHistory, stepper, AFTER\_SOLVE)} \State $\dot{x}_n \leftarrow (x_n-x_{n-1})/\Delta t_n$ \State {\it appAction.execute(solutionHistory, stepper, END\_STEP)} \end{algorithmic} \end{algorithm}$

The First-Step-As-Last (FSAL) principle is not needed with Backward Euler. The default is to set useFSAL=false, however useFSAL=true will also work but have no affect (i.e., no-op).

Iteration Matrix, . Recalling that the definition of the iteration matrix, $W$ , is

$W = \alpha \frac{\partial \mathcal{F}_n}{\partial \dot{x}_n} + \beta \frac{\partial \mathcal{F}_n}{\partial x_n},$

where $\alpha \equiv \frac{\partial \dot{x}_n(x_n) }{\partial x_n},$ and $\beta \equiv \frac{\partial x_n}{\partial x_n} = 1$ , and the time derivative for Backward Euler is

$\dot{x}_n(x_n) = \frac{x_n - x_{n-1}}{\Delta t},$

we can determine that $\alpha = \frac{1}{\Delta t}$ and $\beta = 1$ , and therefore write

$W = \frac{1}{\Delta t} \frac{\partial \mathcal{F}_n}{\partial \dot{x}_n} + \frac{\partial \mathcal{F}_n}{\partial x_n}.$

Definition at line 72 of file Tempus_StepperBackwardEuler_decl.hpp.

Constructor & Destructor Documentation

template<class Scalar >

Tempus::StepperBackwardEuler< Scalar >::StepperBackwardEuler ( )

Default constructor.

Requires subsequent setModel(), setSolver() and initialize() calls before calling takeStep().

Definition at line 27 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

Tempus::StepperBackwardEuler< Scalar >::StepperBackwardEuler	(	const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &	appModel,
		const Teuchos::RCP< StepperObserver< Scalar > > &	obs,
		const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &	solver,
		const Teuchos::RCP< Stepper< Scalar > > &	predictorStepper,
		bool	useFSAL,
		std::string	ICConsistency,
		bool	ICConsistencyCheck,
		bool	zeroInitialGuess
	)

Constructor.

Definition at line 46 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

Tempus::StepperBackwardEuler< Scalar >::StepperBackwardEuler	(	const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &	appModel,
		const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &	solver,
		const Teuchos::RCP< Stepper< Scalar > > &	predictorStepper,
		bool	useFSAL,
		std::string	ICConsistency,
		bool	ICConsistencyCheck,
		bool	zeroInitialGuess,
		const Teuchos::RCP< StepperBackwardEulerAppAction< Scalar > > &	stepperBEAppAction
	)

Constructor.

Definition at line 77 of file Tempus_StepperBackwardEuler_impl.hpp.

Member Function Documentation

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::computePredictor ( const Teuchos::RCP< SolutionHistory< Scalar > > & solutionHistory )

virtual

Compute predictor given the supplied stepper.

Definition at line 300 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::computeStepJacobian	(	Thyra::LinearOpBase< Scalar > &	jacobian,
		const Teuchos::Array< Teuchos::RCP< const Thyra::VectorBase< Scalar > > > &	x,
		const Teuchos::Array< Scalar > &	t,
		const Thyra::VectorBase< Scalar > &	p,
		const int	param_index,
		const int	deriv_index
	)		const

virtual

Compute time step Jacobian.

deriv_index determines which component of x the derivative should be computed with respect to.

Implements Tempus::StepperOptimizationInterface< Scalar >.

Definition at line 433 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::computeStepParamDeriv	(	Thyra::LinearOpBase< Scalar > &	deriv,
		const Teuchos::Array< Teuchos::RCP< const Thyra::VectorBase< Scalar > > > &	x,
		const Teuchos::Array< Scalar > &	t,
		const Thyra::VectorBase< Scalar > &	p,
		const int	param_index
	)		const

virtual

Compute time step derivative w.r.t. model parameters.

Implements Tempus::StepperOptimizationInterface< Scalar >.

Definition at line 450 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::computeStepResidDerivImpl	(	const Thyra::ModelEvaluatorBase::OutArgs< Scalar > &	outArgs,
		const Teuchos::Array< Teuchos::RCP< const Thyra::VectorBase< Scalar > > > &	x,
		const Teuchos::Array< Scalar > &	t,
		const Thyra::VectorBase< Scalar > &	p,
		const int	param_index,
		const int	deriv_index = `0`
	)		const

private

Implementation of computeStep*() methods.

Definition at line 483 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::computeStepResidual	(	Thyra::VectorBase< Scalar > &	residual,
		const Teuchos::Array< Teuchos::RCP< const Thyra::VectorBase< Scalar > > > &	x,
		const Teuchos::Array< Scalar > &	t,
		const Thyra::VectorBase< Scalar > &	p,
		const int	param_index
	)		const

virtual

Compute time step residual.

Implements Tempus::StepperOptimizationInterface< Scalar >.

Definition at line 418 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::computeStepSolver	(	Thyra::LinearOpWithSolveBase< Scalar > &	jacobian_solver,
		const Teuchos::Array< Teuchos::RCP< const Thyra::VectorBase< Scalar > > > &	x,
		const Teuchos::Array< Scalar > &	t,
		const Thyra::VectorBase< Scalar > &	p,
		const int	param_index
	)		const

virtual

Compute time step Jacobian solver.

Derivative is always w.r.t. the most current solution vector

Implements Tempus::StepperOptimizationInterface< Scalar >.

Definition at line 467 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::describe	(	Teuchos::FancyOStream &	out,
		const Teuchos::EVerbosityLevel	verbLevel
	)		const

virtual

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 335 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperBackwardEuler< Scalar >::getAlpha ( const Scalar dt ) const

inlinevirtual

Return alpha = d(xDot)/dx.

Implements Tempus::StepperImplicit< Scalar >.

Definition at line 154 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

virtual Teuchos::RCP<StepperBackwardEulerAppAction<Scalar> > Tempus::StepperBackwardEuler< Scalar >::getAppAction ( ) const

inlinevirtual

Definition at line 122 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperBackwardEuler< Scalar >::getBeta ( const Scalar ) const

inlinevirtual

Return beta = d(x)/dx.

Implements Tempus::StepperImplicit< Scalar >.

Definition at line 156 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

Teuchos::RCP< Tempus::StepperState< Scalar > > Tempus::StepperBackwardEuler< Scalar >::getDefaultStepperState ( )

virtual

Get a default (initial) StepperState.

Provide a StepperState to the SolutionState. This Stepper does not have any special state data, so just provide the base class StepperState with the Stepper description. This can be checked to ensure that the input StepperState can be used by this Stepper.

Implements Tempus::Stepper< Scalar >.

Definition at line 326 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

virtual Teuchos::RCP<StepperObserver<Scalar> > Tempus::StepperBackwardEuler< Scalar >::getObserver ( ) const

inlinevirtual

Get Observer.

Reimplemented from Tempus::Stepper< Scalar >.

Definition at line 115 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperBackwardEuler< Scalar >::getOrder ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 139 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperBackwardEuler< Scalar >::getOrderMax ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 141 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperBackwardEuler< Scalar >::getOrderMin ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 140 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

virtual OrderODE Tempus::StepperBackwardEuler< Scalar >::getOrderODE ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 150 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

Teuchos::RCP< const Teuchos::ParameterList > Tempus::StepperBackwardEuler< Scalar >::getValidParameters ( ) const

virtual

Implements Tempus::Stepper< Scalar >.

Definition at line 394 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

virtual bool Tempus::StepperBackwardEuler< Scalar >::isExplicit ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 143 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperBackwardEuler< Scalar >::isExplicitImplicit ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 145 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperBackwardEuler< Scalar >::isImplicit ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 144 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperBackwardEuler< Scalar >::isMultiStepMethod ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 148 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperBackwardEuler< Scalar >::isOneStepMethod ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 147 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

bool Tempus::StepperBackwardEuler< Scalar >::isValidSetup ( Teuchos::FancyOStream & out ) const

virtual

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 363 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::setAppAction ( Teuchos::RCP< StepperBackwardEulerAppAction< Scalar > > appAction )

virtual

Definition at line 178 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::setInitialConditions ( const Teuchos::RCP< SolutionHistory< Scalar > > & solutionHistory )

virtual

Set the initial conditions and make them consistent.

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 193 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::setObserver ( Teuchos::RCP< StepperObserver< Scalar > > obs = Teuchos::null )

virtual

Set Observer.

Reimplemented from Tempus::Stepper< Scalar >.

Definition at line 154 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::setPredictor ( std::string predictorType = "None" )

Set the predictor.

Set the predictor to a Stepper with default settings.

Definition at line 109 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::setPredictor ( Teuchos::RCP< Stepper< Scalar > > predictorStepper )

Set the predictor.

Definition at line 132 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

int Tempus::StepperBackwardEuler< Scalar >::stencilLength ( ) const

virtual

Return the number of solution vectors in the time step stencil.

Implements Tempus::StepperOptimizationInterface< Scalar >.

Definition at line 410 of file Tempus_StepperBackwardEuler_impl.hpp.

template<class Scalar >

void Tempus::StepperBackwardEuler< Scalar >::takeStep ( const Teuchos::RCP< SolutionHistory< Scalar > > & solutionHistory )

virtual

Take the specified timestep, dt, and return true if successful.

Implements Tempus::Stepper< Scalar >.

Definition at line 218 of file Tempus_StepperBackwardEuler_impl.hpp.

Member Data Documentation

template<class Scalar >

Teuchos::RCP<Stepper<Scalar> > Tempus::StepperBackwardEuler< Scalar >::predictorStepper_

private

Definition at line 215 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

Teuchos::RCP<StepperBackwardEulerAppAction<Scalar> > Tempus::StepperBackwardEuler< Scalar >::stepperBEAppAction_

private

Definition at line 219 of file Tempus_StepperBackwardEuler_decl.hpp.

template<class Scalar >

Teuchos::RCP<StepperBackwardEulerObserver<Scalar> > Tempus::StepperBackwardEuler< Scalar >::stepperBEObserver_

private

Definition at line 217 of file Tempus_StepperBackwardEuler_decl.hpp.

The documentation for this class was generated from the following files:

http://docs.trilinos.org/r13.0/packages/tempus/src/Tempus_StepperBackwardEuler_decl.hpp
http://docs.trilinos.org/r13.0/packages/tempus/src/Tempus_StepperBackwardEuler_impl.hpp

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class Scalar> class Tempus::StepperBackwardEuler< Scalar >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class Scalar>
class Tempus::StepperBackwardEuler< Scalar >