General Implicit Runge-Kutta Butcher Tableau. More...

#include <Tempus_StepperRKButcherTableau.hpp>

Inheritance diagram for Tempus::StepperDIRK_General< Scalar >:

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

	StepperDIRK_General (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel, const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &solver, bool useFSAL, std::string ICConsistency, bool ICConsistencyCheck, bool useEmbedded, bool zeroInitialGuess, const Teuchos::RCP< StepperRKAppAction< Scalar > > &stepperRKAppAction, 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)

std::string	getDescription () const

void	setupTableau ()

void	setTableau (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 >())

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

Public Member Functions inherited from Tempus::StepperDIRK< Scalar >
std::vector< Teuchos::RCP < Thyra::VectorBase< Scalar > > > &	getStageXDot ()

Teuchos::RCP < Thyra::VectorBase< Scalar > > &	getXTilde ()

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...

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

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

virtual void	setStepperDIRKValues (Teuchos::RCP< Teuchos::ParameterList > pl)
	Set StepperDIRK member data from the ParameterList. More...

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

virtual void	setInitialConditions (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory)
	Set the initial conditions and make them consistent. More...

virtual void	setResetInitialGuess (bool reset_guess)
	Set parameter so that the initial guess is reset at the beginning of each timestep. More...

virtual bool	getResetInitialGuess () const

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 bool	isExplicit () const

virtual bool	isImplicit () const

virtual bool	isExplicitImplicit () const

virtual bool	isOneStepMethod () const

virtual bool	isMultiStepMethod () const

virtual OrderODE	getOrderODE () const

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

Public Member Functions inherited from Tempus::StepperImplicit< Scalar >
Teuchos::RCP < Teuchos::ParameterList >	getValidParametersBasicImplicit () const

void	setStepperImplicitValues (Teuchos::RCP< Teuchos::ParameterList > pl)
	Set StepperImplicit member data from the ParameterList. More...

void	setStepperSolverValues (Teuchos::RCP< Teuchos::ParameterList > pl)
	Set solver from ParameterList. More...

void	setSolverName (std::string i)
	Set the Solver Name. More...

std::string	getSolverName () const
	Get the Solver Name. More...

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 >
void	setStepperValues (const Teuchos::RCP< Teuchos::ParameterList > pl)
	Set Stepper member data from ParameterList. More...

Teuchos::RCP < Teuchos::ParameterList >	getValidParametersBasic () const
	Add basic parameters to Steppers ParameterList. More...

virtual void	setNonConstModel (const Teuchos::RCP< Thyra::ModelEvaluator< Scalar > > &)

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

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

void	setStepperName (std::string s)
	Set the stepper name. More...

std::string	getStepperName () const
	Get the stepper name. More...

std::string	getStepperType () const
	Get the stepper type. The stepper type is used as an identifier for the stepper, and can only be set by the derived Stepper class. More...

virtual void	setUseFSAL (bool a)

void	setUseFSALTrueOnly (bool a)

void	setUseFSALFalseOnly (bool a)

bool	getUseFSAL () const

void	setICConsistency (std::string s)

std::string	getICConsistency () const

void	setICConsistencyCheck (bool c)

bool	getICConsistencyCheck () const

virtual Teuchos::RCP < Thyra::VectorBase< Scalar > >	getStepperX ()
	Get Stepper x. More...

virtual Teuchos::RCP < Thyra::VectorBase< Scalar > >	getStepperXDot ()
	Get Stepper xDot. More...

virtual Teuchos::RCP < Thyra::VectorBase< Scalar > >	getStepperXDotDot ()
	Get Stepper xDotDot. 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

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< Stepper< 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

Public Member Functions inherited from Tempus::StepperRKBase< Scalar >
virtual Teuchos::RCP< const RKButcherTableau< Scalar > >	getTableau () const

virtual Scalar	getOrder () const

virtual Scalar	getOrderMin () const

virtual Scalar	getOrderMax () const

virtual int	getNumberOfStages () const

virtual int	getStageNumber () const

virtual void	setStageNumber (int s)

virtual void	setUseEmbedded (bool a)

virtual bool	getUseEmbedded () const

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

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

virtual void	setStepperRKValues (Teuchos::RCP< Teuchos::ParameterList > pl)
	Set StepperRK member data from the ParameterList. More...

virtual Teuchos::RCP < RKButcherTableau< Scalar > >	createTableau (Teuchos::RCP< Teuchos::ParameterList > pl)

Additional Inherited Members
Static Public Member Functions inherited from Teuchos::VerboseObject< Stepper< 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

Protected Member Functions inherited from Tempus::StepperDIRK< Scalar >
virtual void	setupDefault ()
	Default setup for constructor. More...

virtual void	setup (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &wrapperModel, const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &solver, bool useFSAL, std::string ICConsistency, bool ICConsistencyCheck, bool useEmbedded, bool zeroInitialGuess, const Teuchos::RCP< StepperRKAppAction< Scalar > > &stepperRKAppAction)
	Setup for constructor. More...

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...

void	setStepperType (std::string s)
	Set the stepper type. More...

Protected Member Functions inherited from Teuchos::VerboseObject< Stepper< 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 inherited from Tempus::StepperDIRK< Scalar >
std::vector< Teuchos::RCP < Thyra::VectorBase< Scalar > > >	stageXDot_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	xTilde_

bool	resetGuess_ = true

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_

std::string	solverName_

Protected Attributes inherited from Tempus::Stepper< Scalar >
bool	useFSAL_ = false
	Use First-Same-As-Last (FSAL) principle. More...

bool	isInitialized_ = false
	True if stepper's member data is initialized. More...

Protected Attributes inherited from Tempus::StepperRKBase< Scalar >
Teuchos::RCP< RKButcherTableau < Scalar > >	tableau_

bool	useEmbedded_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	ee_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	abs_u0

Teuchos::RCP < Thyra::VectorBase< Scalar > >	abs_u

Teuchos::RCP < Thyra::VectorBase< Scalar > >	sc

int	stageNumber_
	The current Runge-Kutta stage number, {0,...,s-1}. -1 indicates outside stage loop. More...

Teuchos::RCP < StepperRKAppAction< Scalar > >	stepperRKAppAction_

Detailed Description

template<class Scalar>
class Tempus::StepperDIRK_General< Scalar >

General Implicit Runge-Kutta Butcher Tableau.

The format of the Butcher Tableau parameter list is

  <Parameter name="A" type="string" value="# # # ;
                                           # # # ;
                                           # # #">
  <Parameter name="b" type="string" value="# # #">
  <Parameter name="c" type="string" value="# # #">

Note the number of stages is implicit in the number of entries. The number of stages must be consistent.

Default tableau is "SDIRK 2 Stage 2nd order":

$\begin{array}{c|c} c & A \\ \hline & b^T \end{array} \;\;\;\;\mbox{ where }\;\;\;\; \begin{array}{c|cc} \gamma & \gamma & \\ 1 & 1-\gamma & \gamma \\ \hline & 1-\gamma & \gamma \end{array}$

where $\gamma = (2\pm \sqrt{2})/2$ . This will produce an L-stable 2nd order method.

Reference: U. M. Ascher and L. R. Petzold, Computer Methods for ODEs and DAEs, p. 106.

Definition at line 4958 of file Tempus_StepperRKButcherTableau.hpp.

Constructor & Destructor Documentation

template<class Scalar >

Tempus::StepperDIRK_General< Scalar >::StepperDIRK_General ( )

inline

Default constructor.

Requires subsequent setModel() and initialize() calls before calling takestep().

Definition at line 4967 of file Tempus_StepperRKButcherTableau.hpp.

template<class Scalar >

Tempus::StepperDIRK_General< Scalar >::StepperDIRK_General	(	const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &	appModel,
		const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &	solver,
		bool	useFSAL,
		std::string	ICConsistency,
		bool	ICConsistencyCheck,
		bool	useEmbedded,
		bool	zeroInitialGuess,
		const Teuchos::RCP< StepperRKAppAction< Scalar > > &	stepperRKAppAction,
		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
	)

inline

Definition at line 4978 of file Tempus_StepperRKButcherTableau.hpp.

Member Function Documentation

template<class Scalar >

std::string Tempus::StepperDIRK_General< Scalar >::getDescription ( ) const

inlinevirtual

Implements Tempus::StepperDIRK< Scalar >.

Definition at line 5007 of file Tempus_StepperRKButcherTableau.hpp.

template<class Scalar >

void Tempus::StepperDIRK_General< Scalar >::setupTableau ( )

inlinevirtual

Implements Tempus::StepperDIRK< Scalar >.

Definition at line 5032 of file Tempus_StepperRKButcherTableau.hpp.

template<class Scalar >

void Tempus::StepperDIRK_General< Scalar >::setTableau	(	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>()`
	)

inline

Definition at line 5047 of file Tempus_StepperRKButcherTableau.hpp.

template<class Scalar >

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

inlinevirtual

Reimplemented from Tempus::StepperDIRK< Scalar >.

Definition at line 5062 of file Tempus_StepperRKButcherTableau.hpp.

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

Tempus_StepperRKButcherTableau.hpp

Public Member Functions

Additional Inherited Members

Detailed Description

template<class Scalar> class Tempus::StepperDIRK_General< Scalar >

Constructor & Destructor Documentation

Member Function Documentation

template<class Scalar>
class Tempus::StepperDIRK_General< Scalar >