Diagonally Implicit Runge-Kutta (DIRK) time stepper. More...

#include <Tempus_StepperDIRK_decl.hpp>

Inheritance diagram for Tempus::StepperDIRK< Scalar >:

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

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

virtual Scalar	getAlpha (const Scalar dt) const override
	Return alpha = d(xDot)/dx. More...

virtual Scalar	getBeta (const Scalar) const override
	Return beta = d(x)/dx. More...

virtual Scalar	getAlpha (const Scalar dt, int i) const
	Return alpha = d(xDot)/dx for stage i. More...

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

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

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

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

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 Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > >	getModel () const override

virtual Teuchos::RCP< const WrapperModelEvaluator< Scalar > >	getWrapperModel ()

virtual void	setDefaultSolver ()

virtual void	setSolver (Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > solver) override
	Set solver. More...

virtual Teuchos::RCP < Thyra::NonlinearSolverBase < Scalar > >	getSolver () const override
	Get solver. 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, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &y=Teuchos::null, const int index=-1)
	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) override
	Pass initial guess to Newton solver (only relevant for implicit solvers) More...

virtual void	setZeroInitialGuess (bool zIG)

virtual bool	getZeroInitialGuess () const

virtual Scalar	getInitTimeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &) const override

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 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	setErrorNorm (const Teuchos::RCP< Stepper_ErrorNorm< Scalar >> &errCalculator=Teuchos::null)

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)

Protected Member Functions
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...

virtual void	setupTableau ()=0

virtual void	setEmbeddedMemory () override

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
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_
	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

Teuchos::RCP < Stepper_ErrorNorm< Scalar > >	stepperErrorNormCalculator_

int	stageNumber_

Teuchos::RCP < StepperRKAppAction< Scalar > >	stepperRKAppAction_

Basic stepper methods
virtual void	initialize () override
	Initialize after construction and changing input parameters. More...

virtual void	setModel (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel) override
	Set the model. More...

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

virtual void	setResetInitialGuess (bool reset_guess)

virtual bool	getResetInitialGuess () const

virtual void	takeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory) override
	Take the specified timestep, dt, and return true if successful. More...

virtual Teuchos::RCP < Tempus::StepperState< Scalar > >	getDefaultStepperState () override
	Get a default (initial) StepperState. More...

virtual bool	isExplicit () const override

virtual bool	isImplicit () const override

virtual bool	isExplicitImplicit () const override

virtual bool	isOneStepMethod () const override

virtual bool	isMultiStepMethod () const override

virtual OrderODE	getOrderODE () const override

virtual std::string	getDescription () const =0

Overridden from Teuchos::Describable
virtual void	describe (Teuchos::FancyOStream &out, const Teuchos::EVerbosityLevel verbLevel) const override

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

Detailed Description

template<class Scalar>
class Tempus::StepperDIRK< Scalar >

Diagonally Implicit Runge-Kutta (DIRK) time stepper.

For the implicit ODE system, $\mathcal{F}(\dot{x},x,t) = 0$ , the general DIRK method for $s$ -stages, can be written as

$X_{i} = x_{n-1} + \Delta t\,\sum_{j=1}^{i-1} a_{ij}\,\bar{f}(X_{j},t_{n-1}+c_{j}\Delta t) + \Delta t\, a_{ii}\,\bar{f}(X_{i},t_{n-1}+c_{i}\Delta t)$

$x_{n} = x_{n-1} + \Delta t\,\sum_{i=1}^{s}b_{i}\,\bar{f}(X_{i},t_{n-1}+c_{i}\Delta t)$

where $\dot{x}=\bar{f}(x,t)$ is the explicit form of the ODE, $X_{i}$ are intermediate approximations to the solution at times, $t_{n-1}+c_{i}\Delta t$ , (stage solutions) which may be correct to a lower order of accuracy than the solution, $x_{n}$ . We should note that these lower-order approximations are combined through $b_{i}$ so that error terms cancel out and produce a more accurate solution. Note for DIRK methods that $a_{ii}=a$ for all the diagonal components is referred to as Singly Diagonal Implicit Runge-Kutta (SDIRK) methods.

Note that the stage time derivatives,

$\dot{X}_{i} = \bar{f}(X_{i},t_{n-1}+c_{i}\Delta t),$

can be found via

$\begin{eqnarray*} \dot{X}_{i} & = & \frac{1}{a_{ii} \Delta t} [ X_{i} - x_{n-1} - \Delta t\,\sum_{j=1}^{i-1} a_{ij}\,\dot{X}_{j} ] \\ \dot{X}_{i} & = & \frac{X_{i} - \tilde{X}}{a_{ii} \Delta t} \end{eqnarray*}$

where

$\tilde{X} = x_{n-1} + \Delta t \sum_{j=1}^{i-1} a_{ij}\, \dot{X}_{j}$

Recalling that the definition for a DIRK is that for $j>i$ , $a_{ij} = 0$ and $a_{ii} \neq 0$ for at least one $i$ . Thus for stages where $a_{ii} = 0$ , we can use the explicit RK methods (see StepperExplicitRK for additional details).

Algorithm The single-timestep algorithm for DIRK is

$\begin{center} \parbox{6in}{ \rule{6in}{0.4pt} \\ {\bf Algorithm} DIRK \\ \rule{6in}{0.4pt} \vspace{-15pt} \begin{enumerate} \setlength{\itemsep}{0pt} \setlength{\parskip}{0pt} \setlength{\parsep}{0pt} \item {\bf if ("Reset Initial guess.") then} \item \quad $X \leftarrow x_{n-1}$ \hfill {\it * Reset initial guess to last timestep.} \item {\bf endif} \item {\it appAction.execute(solutionHistory, stepper, BEGIN\_STEP)} \item {\bf for {$i = 0 \ldots s-1$}} \item \quad $\tilde{X} \leftarrow x_{n-1} +\Delta t \sum_{j=1}^{i-1} a_{ij}\,\dot{X}_{j}$ \item \quad {\it appAction.execute(solutionHistory, stepper, BEGIN\_STAGE)} \item \quad {\bf if ( $a_{k,i} = 0 \;\forall k = (i+1,\ldots, s-1)$, $b(i) = 0$, $b^\ast(i) = 0$) then} \item \qquad $\dot{X}_i \leftarrow 0$ \hfill {\it * Not needed for later calculations.} \item \quad {\bf else if ($a_{ii} = 0$) then} \hfill {\it * Explicit stage.} \item \qquad {\bf if ($i=0$ and ``Use FSAL'' and (previous step not failed))} \item \qquad \quad $\dot{X}_0 \leftarrow \dot{X}_{s-1}$ \hfill {\it * Use $\dot{X}_{s-1}$ from $n-1$ time step.} \item \qquad {\bf else} \item \qquad \quad $\dot{X}_i \leftarrow \bar{f}(\tilde{X},t_{n-1}+c_i\Delta t)$ \item \qquad {\bf endif} \item \quad {\bf else} \hfill {\it * Implicit stage.} \item \qquad {\it appAction.execute(solutionHistory, stepper, BEFORE\_SOLVE)} \item \qquad {\bf if (``Zero initial guess.'')} \item \qquad \quad $X \leftarrow 0$ \hfill {\it * Else use previous stage value as initial guess.} \item \qquad {\bf endif} \item \qquad {\bf Solve $\mathcal{F}_i( \dot{X}_i = \frac{X - \tilde{X}}{a_{ii} \Delta t}, X, t_{n-1}+c_{i}\Delta t) = 0$ for $X$} \item \qquad {\it appAction.execute(solutionHistory, stepper, AFTER\_SOLVE)} \item \qquad $\dot{X}_i \leftarrow \frac{X - \tilde{X}}{a_{ii} \Delta t}$ \item \quad {\bf endif} \item \quad {\it appAction.execute(solutionHistory, stepper, BEFORE\_EXPLICIT\_EVAL)} \item \quad {\it appAction.execute(solutionHistory, stepper, END\_STAGE)} \item {\bf end for} \item $x_n \leftarrow x_{n-1} + \Delta t\,\sum_{i=0}^{s-1}b_i\,\dot{X}_i$ \item {\bf if (``Embedded'') then} \hfill {\it * Compute the local truncation error estimate.} \item \quad $\mathbf{e} \leftarrow \sum_{i=0}^{s-1} (b_i-b^\ast_i)\Delta t\,\dot{X}_i$ \item \quad $\tilde{\mathbf{e}} \leftarrow \mathbf{e}/(a_{tol} + \max(\|x_n\|, \|x_{n-1}\|)r_{tol})$ \item \quad $e_n \leftarrow \|\tilde{\mathbf{e}}\|_\infty$ \item {\bf endif} \item {\it appAction.execute(solutionHistory, stepper, END\_STEP)} \end{enumerate} \vspace{-10pt} \rule{6in}{0.4pt} } \end{center}$

The First-Same-As-Last (FSAL) principle is not needed with DIRK, but maybe useful if the first stage is explicit (EDIRK) (e.g., Trapezoidal Method). The default is to set useFSAL=false.

Iteration Matrix, . Recalling that the definition of the iteration matrix, $W$ , is

$W = \alpha \frac{\partial \mathcal{F}_n}{\partial \dot{x}_n} + \beta \frac{\partial \mathcal{F}_n}{\partial x_n},$

where $\alpha \equiv \frac{\partial \dot{x}_n(x_n) }{\partial x_n},$ and $\beta \equiv \frac{\partial x_n}{\partial x_n} = 1$ . For the stage solutions, we have

$\mathcal{F}_i = \dot{X}_{i} - \bar{f}(X_{i},t_{n-1}+c_{i}\Delta t) = 0$

where $\mathcal{F}_n \rightarrow \mathcal{F}_i$ , $x_n \rightarrow X_{i}$ , and $\dot{x}_n(x_n) \rightarrow \dot{X}_{i}(X_{i})$ . The time derivative for the DIRK stages is

$\dot{X}_{i}(X_{i}) = \frac{X_{i} - \tilde{X}}{a_{ii} \Delta t},$

and we can determine that $\alpha = \frac{1}{a_{ii} \Delta t}$ and $\beta = 1$ , and therefore write

$W = \frac{1}{a_{ii} \Delta t} \frac{\partial \mathcal{F}_i}{\partial \dot{X}_i} + \frac{\partial \mathcal{F}_i}{\partial X_i}.$

Definition at line 144 of file Tempus_StepperDIRK_decl.hpp.

Member Function Documentation

template<class Scalar >

void Tempus::StepperDIRK< Scalar >::initialize ( )

overridevirtual

Initialize after construction and changing input parameters.

Reimplemented from Tempus::Stepper< Scalar >.

Definition at line 72 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >

void Tempus::StepperDIRK< Scalar >::setModel ( const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > & appModel )

overridevirtual

Set the model.

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 87 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >

void Tempus::StepperDIRK< Scalar >::setInitialConditions ( const Teuchos::RCP< SolutionHistory< Scalar > > & solutionHistory )

overridevirtual

Set the initial conditions and make them consistent.

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 129 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >

virtual void Tempus::StepperDIRK< Scalar >::setResetInitialGuess ( bool reset_guess )

inlinevirtual

Set parameter so that the initial guess is reset at the beginning of each timestep.

Definition at line 163 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperDIRK< Scalar >::getResetInitialGuess ( ) const

inlinevirtual

Definition at line 167 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

void Tempus::StepperDIRK< Scalar >::takeStep ( const Teuchos::RCP< SolutionHistory< Scalar > > & solutionHistory )

overridevirtual

Take the specified timestep, dt, and return true if successful.

Implements Tempus::Stepper< Scalar >.

Definition at line 137 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >

Teuchos::RCP< Tempus::StepperState< Scalar > > Tempus::StepperDIRK< Scalar >::getDefaultStepperState ( )

overridevirtual

Get a default (initial) StepperState.

Provide a StepperState to the SolutionState. This Stepper does not have any special state data, so just provide the base class StepperState with the Stepper description. This can be checked to ensure that the input StepperState can be used by this Stepper.

Implements Tempus::Stepper< Scalar >.

Definition at line 331 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >

virtual bool Tempus::StepperDIRK< Scalar >::isExplicit ( ) const

inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 177 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

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

inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 186 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperDIRK< Scalar >::isExplicitImplicit ( ) const

inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 187 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperDIRK< Scalar >::isOneStepMethod ( ) const

inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 191 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperDIRK< Scalar >::isMultiStepMethod ( ) const

inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 192 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

virtual OrderODE Tempus::StepperDIRK< Scalar >::getOrderODE ( ) const

inlineoverridevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 194 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

virtual std::string Tempus::StepperDIRK< Scalar >::getDescription ( ) const

pure virtual

template<class Scalar >

std::vector<Teuchos::RCP<Thyra::VectorBase<Scalar> > >& Tempus::StepperDIRK< Scalar >::getStageXDot ( )

inline

Definition at line 199 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

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

inline

Definition at line 203 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperDIRK< Scalar >::getAlpha ( const Scalar dt ) const

inlineoverridevirtual

Return alpha = d(xDot)/dx.

Implements Tempus::StepperImplicit< Scalar >.

Definition at line 206 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperDIRK< Scalar >::getBeta ( const Scalar ) const

inlineoverridevirtual

Return beta = d(x)/dx.

Implements Tempus::StepperImplicit< Scalar >.

Definition at line 221 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperDIRK< Scalar >::getAlpha	(	const Scalar	dt,
		int	i
	)		const

inlinevirtual

Return alpha = d(xDot)/dx for stage i.

Definition at line 224 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

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

overridevirtual

Reimplemented from Tempus::StepperImplicit< Scalar >.

Reimplemented in Tempus::StepperDIRK_General< Scalar >, Tempus::StepperEDIRK_2StageTheta< Scalar >, Tempus::StepperDIRK_1StageTheta< Scalar >, Tempus::StepperSDIRK_2Stage3rdOrder< Scalar >, and Tempus::StepperSDIRK_2Stage2ndOrder< Scalar >.

Definition at line 389 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >

Teuchos::RCP< Teuchos::ParameterList > Tempus::StepperDIRK< Scalar >::getValidParametersBasicDIRK ( ) const

Definition at line 57 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >

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

overridevirtual

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 339 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >

bool Tempus::StepperDIRK< Scalar >::isValidSetup ( Teuchos::FancyOStream & out ) const

overridevirtual

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 366 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >

virtual void Tempus::StepperDIRK< Scalar >::setStepperDIRKValues ( Teuchos::RCP< Teuchos::ParameterList > pl )

inlinevirtual

Set StepperDIRK member data from the ParameterList.

Definition at line 246 of file Tempus_StepperDIRK_decl.hpp.

template<class Scalar >

void Tempus::StepperDIRK< Scalar >::setupDefault ( )

protectedvirtual

Default setup for constructor.

Definition at line 20 of file Tempus_StepperDIRK_impl.hpp.

template<class Scalar >

void Tempus::StepperDIRK< Scalar >::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
	)