Runge-Kutta methods. More...

#include <Tempus_RKButcherTableau.hpp>

Inheritance diagram for Tempus::RKButcherTableau< Scalar >:

Public Member Functions
	RKButcherTableau (std::string stepperType, const Teuchos::SerialDenseMatrix< int, Scalar > &A, const Teuchos::SerialDenseVector< int, Scalar > &b, const Teuchos::SerialDenseVector< int, Scalar > &c, const int order, const int orderMin, const int orderMax, const Teuchos::SerialDenseVector< int, Scalar > &bstar=Teuchos::SerialDenseVector< int, Scalar >(), bool checkC=true)

virtual std::size_t	numStages () const
	Return the number of stages. More...

virtual const Teuchos::SerialDenseMatrix < int, Scalar > &	A () const
	Return the matrix coefficients. More...

virtual const Teuchos::SerialDenseVector < int, Scalar > &	b () const
	Return the vector of quadrature weights. More...

virtual const Teuchos::SerialDenseVector < int, Scalar > &	bstar () const
	Return the vector of quadrature weights for embedded methods. More...

virtual const Teuchos::SerialDenseVector < int, Scalar > &	c () const
	Return the vector of stage positions. More...

virtual int	order () const
	Return the order. More...

virtual int	orderMin () const
	Return the minimum order. More...

virtual int	orderMax () const
	Return the maximum order. More...

virtual bool	isImplicit () const
	Return true if the RK method is implicit. More...

virtual bool	isDIRK () const
	Return true if the RK method is Diagonally Implicit. More...

virtual bool	isEmbedded () const
	Return true if the RK method has embedded capabilities. More...

virtual bool	isTVD () const
	Return true if the RK method is TVD. More...

virtual Scalar	getTVDCoeff () const
	Return TVD coefficient of RK method. More...

virtual void	setTVDCoeff (const Scalar a)
	set TVD coefficient of RK method More...

virtual void	setTVD (bool a)

virtual void	setEmbedded (bool a)

bool	operator== (const RKButcherTableau &t) const

bool	operator!= (const RKButcherTableau &t) const

Public Member Functions inherited from Teuchos::Describable
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::VerboseObject< RKButcherTableau< Scalar > >
	VerboseObject (const EVerbosityLevel verbLevel=VERB_DEFAULT, const RCP< FancyOStream > &oStream=Teuchos::null)

virtual const VerboseObject &	setVerbLevel (const EVerbosityLevel verbLevel) const

virtual const VerboseObject &	setOverridingVerbLevel (const EVerbosityLevel verbLevel) const

virtual EVerbosityLevel	getVerbLevel () const

TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT RCP< const ParameterList >	getValidVerboseObjectSublist ()

TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT void	setupVerboseObjectSublist (ParameterList *paramList)

TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT void	readVerboseObjectSublist (ParameterList paramList, RCP< FancyOStream > oStream, EVerbosityLevel *verbLevel)

void	readVerboseObjectSublist (ParameterList paramList, VerboseObject< ObjectType > verboseObject)

Public Member Functions inherited from Teuchos::VerboseObjectBase
virtual	~VerboseObjectBase ()

	VerboseObjectBase (const RCP< FancyOStream > &oStream=Teuchos::null)

virtual const VerboseObjectBase &	setOStream (const RCP< FancyOStream > &oStream) const

virtual const VerboseObjectBase &	setOverridingOStream (const RCP< FancyOStream > &oStream) const

virtual VerboseObjectBase &	setLinePrefix (const std::string &linePrefix)

virtual RCP< FancyOStream >	getOStream () const

virtual RCP< FancyOStream >	getOverridingOStream () const

virtual std::string	getLinePrefix () const

virtual OSTab	getOSTab (const int tabs=1, const std::string &linePrefix="") const

Protected Member Functions
void	set_isImplicit ()

void	set_isDIRK ()
	DIRK is defined as if a_ij = 0 for j>i and a_ii != 0 for at least one i. More...

Protected Member Functions inherited from Teuchos::VerboseObject< RKButcherTableau< Scalar > >
void	initializeVerboseObject (const EVerbosityLevel verbLevel=VERB_DEFAULT, const RCP< FancyOStream > &oStream=Teuchos::null)

Protected Member Functions inherited from Teuchos::VerboseObjectBase
void	initializeVerboseObjectBase (const RCP< FancyOStream > &oStream=Teuchos::null)

virtual void	informUpdatedVerbosityState () const

Protected Attributes
std::string	description_

Teuchos::SerialDenseMatrix < int, Scalar >	A_

Teuchos::SerialDenseVector < int, Scalar >	b_

Teuchos::SerialDenseVector < int, Scalar >	c_

int	order_

int	orderMin_

int	orderMax_

bool	isImplicit_

bool	isDIRK_

bool	isEmbedded_

bool	isTVD_ = false

Teuchos::SerialDenseVector < int, Scalar >	bstar_

Scalar	tvdCoeff_ = 0

Private Member Functions
	RKButcherTableau ()

virtual std::string	description () const

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

Additional Inherited Members
Static Public Member Functions inherited from Teuchos::VerboseObject< RKButcherTableau< Scalar > >
static void	setDefaultVerbLevel (const EVerbosityLevel defaultVerbLevel)

static EVerbosityLevel	getDefaultVerbLevel ()

Static Public Member Functions inherited from Teuchos::VerboseObjectBase
static void	setDefaultOStream (const RCP< FancyOStream > &defaultOStream)

static RCP< FancyOStream >	getDefaultOStream ()

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

Detailed Description

template<class Scalar>
class Tempus::RKButcherTableau< Scalar >

Runge-Kutta methods.

This base class specifies the Butcher tableau which defines the Runge-Kutta (RK) method. Both explicit and implicit RK methods can be specified here, and of arbitrary number of stages and orders. Embedded methods are also supported.

Since this is a generic RK class, no low-storage methods are incorporated here, however any RK method with a Butcher tableau can be created with the base class.

There are over 40 derived RK methods that have been implemented, ranging from first order and eight order, and from single stage to 5 stages.

This class was taken and modified from Rythmos' RKButcherTableau class.

Definition at line 44 of file Tempus_RKButcherTableau.hpp.

Constructor & Destructor Documentation

template<class Scalar >

Tempus::RKButcherTableau< Scalar >::RKButcherTableau	(	std::string	stepperType,
		const Teuchos::SerialDenseMatrix< int, Scalar > &	A,
		const Teuchos::SerialDenseVector< int, Scalar > &	b,
		const Teuchos::SerialDenseVector< int, Scalar > &	c,
		const int	order,
		const int	orderMin,
		const int	orderMax,
		const Teuchos::SerialDenseVector< int, Scalar > &	bstar = `Teuchos::SerialDenseVector<int, Scalar>()`,
		bool	checkC = `true`
	)

inline

Definition at line 48 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

Tempus::RKButcherTableau< Scalar >::RKButcherTableau ( )

private

Member Function Documentation

template<class Scalar >

virtual std::size_t Tempus::RKButcherTableau< Scalar >::numStages ( ) const

inlinevirtual

Return the number of stages.

Definition at line 115 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual const Teuchos::SerialDenseMatrix<int, Scalar>& Tempus::RKButcherTableau< Scalar >::A ( ) const

inlinevirtual

Return the matrix coefficients.

Definition at line 117 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual const Teuchos::SerialDenseVector<int, Scalar>& Tempus::RKButcherTableau< Scalar >::b ( ) const

inlinevirtual

Return the vector of quadrature weights.

Definition at line 122 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual const Teuchos::SerialDenseVector<int, Scalar>& Tempus::RKButcherTableau< Scalar >::bstar ( ) const

inlinevirtual

Return the vector of quadrature weights for embedded methods.

Definition at line 127 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual const Teuchos::SerialDenseVector<int, Scalar>& Tempus::RKButcherTableau< Scalar >::c ( ) const

inlinevirtual

Return the vector of stage positions.

Definition at line 132 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual int Tempus::RKButcherTableau< Scalar >::order ( ) const

inlinevirtual

Return the order.

Definition at line 137 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual int Tempus::RKButcherTableau< Scalar >::orderMin ( ) const

inlinevirtual

Return the minimum order.

Definition at line 139 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual int Tempus::RKButcherTableau< Scalar >::orderMax ( ) const

inlinevirtual

Return the maximum order.

Definition at line 141 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

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

inlinevirtual

Return true if the RK method is implicit.

Definition at line 143 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual bool Tempus::RKButcherTableau< Scalar >::isDIRK ( ) const

inlinevirtual

Return true if the RK method is Diagonally Implicit.

Definition at line 145 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual bool Tempus::RKButcherTableau< Scalar >::isEmbedded ( ) const

inlinevirtual

Return true if the RK method has embedded capabilities.

Definition at line 147 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual bool Tempus::RKButcherTableau< Scalar >::isTVD ( ) const

inlinevirtual

Return true if the RK method is TVD.

Definition at line 149 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual Scalar Tempus::RKButcherTableau< Scalar >::getTVDCoeff ( ) const

inlinevirtual

Return TVD coefficient of RK method.

Definition at line 151 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual void Tempus::RKButcherTableau< Scalar >::setTVDCoeff ( const Scalar a )

inlinevirtual

set TVD coefficient of RK method

Definition at line 153 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual void Tempus::RKButcherTableau< Scalar >::setTVD ( bool a )

inlinevirtual

Definition at line 154 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual void Tempus::RKButcherTableau< Scalar >::setEmbedded ( bool a )

inlinevirtual

Definition at line 155 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

virtual std::string Tempus::RKButcherTableau< Scalar >::description ( ) const

inlinevirtual

Reimplemented from Teuchos::Describable.

Definition at line 159 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

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

inlinevirtual

Reimplemented from Teuchos::Describable.

Definition at line 161 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

bool Tempus::RKButcherTableau< Scalar >::operator== ( const RKButcherTableau< Scalar > & t ) const

inline

Definition at line 185 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

bool Tempus::RKButcherTableau< Scalar >::operator!= ( const RKButcherTableau< Scalar > & t ) const

inline

Definition at line 217 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

void Tempus::RKButcherTableau< Scalar >::set_isImplicit ( )

inlineprotected

Definition at line 223 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

void Tempus::RKButcherTableau< Scalar >::set_isDIRK ( )

inlineprotected

DIRK is defined as if a_ij = 0 for j>i and a_ii != 0 for at least one i.

Definition at line 232 of file Tempus_RKButcherTableau.hpp.

Member Data Documentation

template<class Scalar >

std::string Tempus::RKButcherTableau< Scalar >::description_

protected

Definition at line 244 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

Teuchos::SerialDenseMatrix<int, Scalar> Tempus::RKButcherTableau< Scalar >::A_

protected

Definition at line 246 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

Teuchos::SerialDenseVector<int, Scalar> Tempus::RKButcherTableau< Scalar >::b_

protected

Definition at line 247 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

Teuchos::SerialDenseVector<int, Scalar> Tempus::RKButcherTableau< Scalar >::c_

protected

Definition at line 248 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

int Tempus::RKButcherTableau< Scalar >::order_

protected

Definition at line 249 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

int Tempus::RKButcherTableau< Scalar >::orderMin_

protected

Definition at line 250 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

int Tempus::RKButcherTableau< Scalar >::orderMax_

protected

Definition at line 251 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

bool Tempus::RKButcherTableau< Scalar >::isImplicit_

protected

Definition at line 252 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

bool Tempus::RKButcherTableau< Scalar >::isDIRK_

protected

Definition at line 253 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

bool Tempus::RKButcherTableau< Scalar >::isEmbedded_

protected

Definition at line 254 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

bool Tempus::RKButcherTableau< Scalar >::isTVD_ = false

protected

Definition at line 255 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

Teuchos::SerialDenseVector<int, Scalar> Tempus::RKButcherTableau< Scalar >::bstar_

protected

Definition at line 256 of file Tempus_RKButcherTableau.hpp.

template<class Scalar >

Scalar Tempus::RKButcherTableau< Scalar >::tvdCoeff_ = 0

protected

Definition at line 257 of file Tempus_RKButcherTableau.hpp.

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

Tempus_RKButcherTableau.hpp

Public Member Functions

Protected Member Functions

Protected Attributes

Private Member Functions

Additional Inherited Members

Detailed Description

template<class Scalar> class Tempus::RKButcherTableau< Scalar >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class Scalar>
class Tempus::RKButcherTableau< Scalar >