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.

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

Scalar	getLambda () const

Private functions overridden from ModelEvaluatorDefaultBase.
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.

Scalar	xDotIC_
	Initial condition for xDot.

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

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

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

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

◆ DahlquistTestModel() [1/2]

template<class Scalar >

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

Definition at line 28 of file DahlquistTestModel_impl.hpp.

◆ DahlquistTestModel() [2/2]

template<class Scalar >

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

Definition at line 34 of file DahlquistTestModel_impl.hpp.

◆ ~DahlquistTestModel()

template<class Scalar >

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

default

Default destructor.

Member Function Documentation

◆ constructDahlquistTestModel()

template<class Scalar >

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

Definition at line 40 of file DahlquistTestModel_impl.hpp.

◆ getExactSolution()

template<class Scalar >

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

Exact solution.

Definition at line 119 of file DahlquistTestModel_impl.hpp.

◆ getLambda()

template<class Scalar >

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

inline

Definition at line 51 of file DahlquistTestModel_decl.hpp.

◆ get_x_space()

template<class Scalar >

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

Definition at line 149 of file DahlquistTestModel_impl.hpp.

◆ get_f_space()

template<class Scalar >

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

Definition at line 156 of file DahlquistTestModel_impl.hpp.

◆ getNominalValues()

template<class Scalar >

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

Definition at line 163 of file DahlquistTestModel_impl.hpp.

◆ create_W()

template<class Scalar >

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

Definition at line 245 of file DahlquistTestModel_impl.hpp.

◆ create_W_op()

template<class Scalar >

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

Definition at line 271 of file DahlquistTestModel_impl.hpp.

◆ get_W_factory()

template<class Scalar >

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

Definition at line 281 of file DahlquistTestModel_impl.hpp.

◆ createInArgs()

template<class Scalar >

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

Definition at line 170 of file DahlquistTestModel_impl.hpp.

◆ get_p_space()

template<class Scalar >

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

Definition at line 290 of file DahlquistTestModel_impl.hpp.

◆ get_p_names()

template<class Scalar >

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

Definition at line 305 of file DahlquistTestModel_impl.hpp.

◆ get_g_space()

template<class Scalar >

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

Definition at line 327 of file DahlquistTestModel_impl.hpp.

◆ createOutArgsImpl()

template<class Scalar >

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

private

Definition at line 177 of file DahlquistTestModel_impl.hpp.

◆ evalModelImpl()

template<class Scalar >

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