Simple quadratic equation with a stable steady-state. This is a simple differential equation

$\mathbf{\dot{x}}=\mathbf{x}^2 - b^2$

which has steady state solutions $\mathbf{x} = \pm b$ . The solution $\mathbf{x} = b$ is stable if $b < 0$ and the solution $\mathbf{x} = -b$ is stable if $b > 0$ . This model is used to test pseudo-transient sensitivity analysis methods. More...

#include <SteadyQuadraticModel_decl.hpp>

Inheritance diagram for Tempus_Test::SteadyQuadraticModel< Scalar >:

[legend]

Public Member Functions
	SteadyQuadraticModel (Teuchos::RCP< Teuchos::ParameterList > pList=Teuchos::null)

Scalar	getSteadyStateSolution () const

Scalar	getSteadyStateSolutionSensitivity () 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)

Public Member Functions inherited from Teuchos::ParameterListAcceptorDefaultBase
RCP< ParameterList >	getNonconstParameterList ()

RCP< ParameterList >	unsetParameterList ()

RCP< const ParameterList >	getParameterList () const

Private Member Functions
void	setupInOutArgs_ () const

Private Attributes
int	dim_
	Number of state unknowns (2) More...

int	Np_
	Number of parameter vectors (1) More...

int	np_
	Number of parameters in this vector (2) More...

int	Ng_
	Number of observation functions (1) More...

int	ng_
	Number of elements in this observation function (1) More...

bool	useDfDpAsTangent_
	Treat DfDp OutArg as tangent (df/dx*dx/dp+df/dp) More...

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	b_
	Model parameter. 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

Public functions overridden from ParameterListAcceptor.
void	setParameterList (Teuchos::RCP< Teuchos::ParameterList > const &paramList)

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

Protected Member Functions inherited from Teuchos::ParameterListAcceptorDefaultBase
void	setMyParamList (const RCP< ParameterList > &paramList)

RCP< ParameterList >	getMyNonconstParamList ()

RCP< const ParameterList >	getMyParamList () const

Detailed Description

template<class Scalar>
class Tempus_Test::SteadyQuadraticModel< Scalar >

Simple quadratic equation with a stable steady-state. This is a simple differential equation

$\mathbf{\dot{x}}=\mathbf{x}^2 - b^2$

which has steady state solutions $\mathbf{x} = \pm b$ . The solution $\mathbf{x} = b$ is stable if $b < 0$ and the solution $\mathbf{x} = -b$ is stable if $b > 0$ . This model is used to test pseudo-transient sensitivity analysis methods.

Definition at line 31 of file SteadyQuadraticModel_decl.hpp.

Constructor & Destructor Documentation

template<class Scalar >

Tempus_Test::SteadyQuadraticModel< Scalar >::SteadyQuadraticModel ( Teuchos::RCP< Teuchos::ParameterList > pList = Teuchos::null )

Definition at line 31 of file SteadyQuadraticModel_impl.hpp.

Member Function Documentation

template<class Scalar >

Scalar Tempus_Test::SteadyQuadraticModel< Scalar >::getSteadyStateSolution ( ) const

Definition at line 58 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

Scalar Tempus_Test::SteadyQuadraticModel< Scalar >::getSteadyStateSolutionSensitivity ( ) const

Definition at line 68 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 78 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 87 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 96 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 107 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 140 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 151 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 162 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 301 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 314 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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

virtual

Implements Thyra::ModelEvaluator< class >.

Definition at line 332 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

void Tempus_Test::SteadyQuadraticModel< Scalar >::setParameterList ( Teuchos::RCP< Teuchos::ParameterList > const & paramList )

virtual

Implements Teuchos::ParameterListAcceptor.

Definition at line 409 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

Teuchos::RCP< const Teuchos::ParameterList > Tempus_Test::SteadyQuadraticModel< Scalar >::getValidParameters ( ) const

virtual

Reimplemented from Teuchos::ParameterListAcceptor.

Definition at line 428 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

void Tempus_Test::SteadyQuadraticModel< Scalar >::setupInOutArgs_ ( ) const

private

Definition at line 343 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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

private

Definition at line 175 of file SteadyQuadraticModel_impl.hpp.

template<class Scalar >

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