The classic Dahlquist Test Problem. More...

#include <DahlquistTestModel_decl.hpp>

Inheritance diagram for Tempus_Test::DahlquistTestModel< Scalar >:

Public Member Functions
	DahlquistTestModel ()

	DahlquistTestModel (Scalar lambda, bool includeXDot)

void	constructDahlquistTestModel (Scalar lambda, bool includeXDot)

	~DahlquistTestModel ()=default
	Default destructor. More...

Thyra::ModelEvaluatorBase::InArgs < Scalar >	getExactSolution (double t) const
	Exact solution. More...

Scalar	getLambda () const

Public Member Functions inherited from Thyra::StateFuncModelEvaluatorBase< Scalar >
RCP< const VectorSpaceBase < Scalar > >	get_p_space (int l) const

RCP< const Teuchos::Array < std::string > >	get_p_names (int l) const

RCP< const VectorSpaceBase < Scalar > >	get_g_space (int j) const

Teuchos::ArrayView< const std::string >	get_g_names (int j) const

ModelEvaluatorBase::InArgs < Scalar >	getNominalValues () const

ModelEvaluatorBase::InArgs < Scalar >	getLowerBounds () const

ModelEvaluatorBase::InArgs < Scalar >	getUpperBounds () const

RCP< LinearOpBase< Scalar > >	create_W_op () const

RCP< PreconditionerBase< Scalar > >	create_W_prec () const

RCP< const LinearOpWithSolveFactoryBase < Scalar > >	get_W_factory () const

void	reportFinalPoint (const ModelEvaluatorBase::InArgs< Scalar > &finalPoint, const bool wasSolved)

Public Member Functions inherited from Thyra::ModelEvaluator< class >
virtual int	Np () const =0

virtual int	Ng () const =0

virtual RCP< const VectorSpaceBase< Scalar > >	get_f_multiplier_space () const =0

virtual RCP< const VectorSpaceBase< Scalar > >	get_g_multiplier_space (int j) const =0

virtual RCP< LinearOpBase < Scalar > >	create_DfDp_op (int l) const =0

virtual RCP< LinearOpBase < Scalar > >	create_DgDx_dot_op (int j) const =0

virtual RCP< LinearOpBase < Scalar > >	create_DgDx_op (int j) const =0

virtual RCP< LinearOpBase < Scalar > >	create_DgDp_op (int j, int l) const =0

virtual RCP< LinearOpBase < Scalar > >	create_hess_f_xx () const =0

virtual RCP< LinearOpBase < Scalar > >	create_hess_f_xp (int l) const =0

virtual RCP< LinearOpBase < Scalar > >	create_hess_f_pp (int l1, int l2) const =0

virtual RCP< LinearOpBase < Scalar > >	create_hess_g_xx (int j) const =0

virtual RCP< LinearOpBase < Scalar > >	create_hess_g_xp (int j, int l) const =0

virtual RCP< LinearOpBase < Scalar > >	create_hess_g_pp (int j, int l1, int l2) const =0

virtual ModelEvaluatorBase::OutArgs < Scalar >	createOutArgs () const =0

virtual void	evalModel (const ModelEvaluatorBase::InArgs< Scalar > &inArgs, const ModelEvaluatorBase::OutArgs< Scalar > &outArgs) const =0

	ModelEvaluatorBase ()

std::string	toString (ModelEvaluatorBase::EInArgsMembers)

std::string	toString (ModelEvaluatorBase::EOutArgsMembers)

std::string	toString (ModelEvaluatorBase::EDerivativeMultiVectorOrientation orientation)

ModelEvaluatorBase::EDerivativeMultiVectorOrientation	getOtherDerivativeMultiVectorOrientation (ModelEvaluatorBase::EDerivativeMultiVectorOrientation orientation)

Public Member Functions inherited from Teuchos::Describable
virtual std::string	description () const

virtual void	describe (FancyOStream &out, const EVerbosityLevel verbLevel=verbLevel_default) const

void	describe (std::ostream &out, const EVerbosityLevel verbLevel=verbLevel_default) const

virtual	~Describable ()

	LabeledObject ()

virtual	~LabeledObject ()

virtual void	setObjectLabel (const std::string &objectLabel)

virtual std::string	getObjectLabel () const

DescribableStreamManipulatorState	describe (const Describable &describable, const EVerbosityLevel verbLevel=Describable::verbLevel_default)

std::ostream &	operator<< (std::ostream &os, const DescribableStreamManipulatorState &d)

Private Attributes
int	dim_

int	Np_

int	np_

int	Ng_

int	ng_

bool	haveIC_

bool	acceptModelParams_

Scalar	lambda_

bool	includeXDot_

bool	isInitialized_

Thyra::ModelEvaluatorBase::InArgs < Scalar >	inArgs_

Thyra::ModelEvaluatorBase::OutArgs < Scalar >	outArgs_

Thyra::ModelEvaluatorBase::InArgs < Scalar >	nominalValues_

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > >	x_space_

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > >	f_space_

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > >	p_space_

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > >	g_space_

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > >	DxDp_space_

Scalar	xIC_
	Initial condition for x. More...

Scalar	xDotIC_
	Initial condition for xDot. More...

Public functions overridden from ModelEvaluator.
Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > >	get_x_space () const

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > >	get_f_space () const

Thyra::ModelEvaluatorBase::InArgs < Scalar >	getNominalValues () const

Teuchos::RCP < Thyra::LinearOpWithSolveBase < Scalar > >	create_W () const

Teuchos::RCP < Thyra::LinearOpBase< Scalar > >	create_W_op () const

Teuchos::RCP< const Thyra::LinearOpWithSolveFactoryBase < Scalar > >	get_W_factory () const

Thyra::ModelEvaluatorBase::InArgs < Scalar >	createInArgs () const

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > >	get_p_space (int l) const

Teuchos::RCP< const Teuchos::Array< std::string > >	get_p_names (int l) const

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > >	get_g_space (int j) const

Private functions overridden from ModelEvaluatorDefaultBase.
Thyra::ModelEvaluatorBase::OutArgs < Scalar >	createOutArgsImpl () const

void	evalModelImpl (const Thyra::ModelEvaluatorBase::InArgs< Scalar > &inArgs_bar, const Thyra::ModelEvaluatorBase::OutArgs< Scalar > &outArgs_bar) const

Additional Inherited Members
Public Types inherited from Thyra::ModelEvaluator< class >
enum	EInArgsMembers

enum	EInArgs_p_mp

enum	EEvalType

enum	EDerivativeMultiVectorOrientation

enum	EDerivativeLinearOp

enum	EDerivativeLinearity

enum	ERankStatus

enum	EOutArgsMembers

enum	EOutArgsDfDp

enum	EOutArgsDgDx_dot

enum	EOutArgsDgDx

enum	EOutArgsDgDp

enum	EOutArgs_hess_vec_prod_f_xx

enum	EOutArgs_hess_vec_prod_f_xp

enum	EOutArgs_hess_vec_prod_f_px

enum	EOutArgs_hess_vec_prod_f_pp

enum	EOutArgs_hess_vec_prod_g_xx

enum	EOutArgs_hess_vec_prod_g_xp

enum	EOutArgs_hess_vec_prod_g_px

enum	EOutArgs_hess_vec_prod_g_pp

enum	EOutArgs_hess_f_xx

enum	EOutArgs_hess_f_xp

enum	EOutArgs_hess_f_pp

enum	EOutArgs_hess_g_xx

enum	EOutArgs_hess_g_xp

enum	EOutArgs_hess_g_pp

enum	EOutArgs_H_xx

enum	EOutArgs_H_xp

enum	EOutArgs_H_pp

enum	EOutArgsDfDp_mp

enum	EOutArgs_g_mp

enum	EOutArgsDgDx_dot_mp

enum	EOutArgsDgDx_mp

enum	EOutArgsDgDp_mp

typedef Teuchos::ScalarTraits < Scalar >::magnitudeType	ScalarMag

Static Public Attributes inherited from Thyra::ModelEvaluator< class >
static const int	NUM_E_IN_ARGS_MEMBERS

static const int	NUM_E_OUT_ARGS_MEMBERS

Static Public Attributes inherited from Teuchos::Describable
static const EVerbosityLevel	verbLevel_default

Detailed Description

template<class Scalar>
class Tempus_Test::DahlquistTestModel< Scalar >

The classic Dahlquist Test Problem.

This is the canonical Dahlquist test equation

$\mathbf{\dot{x}} = \lambda \mathbf{x}.$

where $\lambda \in \mathbf{C}$ with the initial condition $\mathbf{x}(0) = 1$ . The exact solution is

$\mathbf{x}(t) = \exp{\lambda t}.$

When $\mathbf{R}(\lambda) < 0$ , $\mathbf{x} \rightarrow 0$ as $t \rightarrow \infty$ . Numerical methods that exhibit this property are said to be A-stable.

Definition at line 35 of file DahlquistTestModel_decl.hpp.

Constructor & Destructor Documentation

template<class Scalar >

Tempus_Test::DahlquistTestModel< Scalar >::DahlquistTestModel ( )

Definition at line 28 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Tempus_Test::DahlquistTestModel< Scalar >::DahlquistTestModel	(	Scalar	lambda,
		bool	includeXDot
	)

Definition at line 34 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Tempus_Test::DahlquistTestModel< Scalar >::~DahlquistTestModel ( )

default

Default destructor.

Member Function Documentation

template<class Scalar >

void Tempus_Test::DahlquistTestModel< Scalar >::constructDahlquistTestModel	(	Scalar	lambda,
		bool	includeXDot
	)

Definition at line 41 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Thyra::ModelEvaluatorBase::InArgs< Scalar > Tempus_Test::DahlquistTestModel< Scalar >::getExactSolution ( double t ) const

Exact solution.

Definition at line 124 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Scalar Tempus_Test::DahlquistTestModel< Scalar >::getLambda ( ) const

inline

Definition at line 54 of file DahlquistTestModel_decl.hpp.

template<class Scalar >

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::DahlquistTestModel< Scalar >::get_x_space ( ) const

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 155 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::DahlquistTestModel< Scalar >::get_f_space ( ) const

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 164 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Thyra::ModelEvaluatorBase::InArgs< Scalar > Tempus_Test::DahlquistTestModel< Scalar >::getNominalValues ( ) const

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 173 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Teuchos::RCP< Thyra::LinearOpWithSolveBase< Scalar > > Tempus_Test::DahlquistTestModel< Scalar >::create_W ( ) const

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 264 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Teuchos::RCP< Thyra::LinearOpBase< Scalar > > Tempus_Test::DahlquistTestModel< Scalar >::create_W_op ( ) const

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 291 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Teuchos::RCP< const Thyra::LinearOpWithSolveFactoryBase< Scalar > > Tempus_Test::DahlquistTestModel< Scalar >::get_W_factory ( ) const

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 302 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Thyra::ModelEvaluatorBase::InArgs< Scalar > Tempus_Test::DahlquistTestModel< Scalar >::createInArgs ( ) const

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 182 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::DahlquistTestModel< Scalar >::get_p_space ( int l ) const

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 312 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Teuchos::RCP< const Teuchos::Array< std::string > > Tempus_Test::DahlquistTestModel< Scalar >::get_p_names ( int l ) const

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 329 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Teuchos::RCP< const Thyra::VectorSpaceBase< Scalar > > Tempus_Test::DahlquistTestModel< Scalar >::get_g_space ( int j ) const

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 352 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

Thyra::ModelEvaluatorBase::OutArgs< Scalar > Tempus_Test::DahlquistTestModel< Scalar >::createOutArgsImpl ( ) const

private

Definition at line 191 of file DahlquistTestModel_impl.hpp.

template<class Scalar >

void Tempus_Test::DahlquistTestModel< Scalar >::evalModelImpl	(	const Thyra::ModelEvaluatorBase::InArgs< Scalar > &	inArgs_bar,
		const Thyra::ModelEvaluatorBase::OutArgs< Scalar > &	outArgs_bar
	)		const