This class implements a step size control using the midpoint method and BDF2 for solving ordinary partial equations. More...

#include <StepsizeControlBDF.hpp>

Inheritance diagram for sgpp::solver::StepsizeControlBDF:

Public Member Functions
	StepsizeControlBDF (size_t nTimesteps, double timestepSize, double eps, sgpp::base::ScreenOutput *screen=NULL)
	Std-Constructer. More...

virtual	~StepsizeControlBDF ()
	Std-Destructor. More...

Public Member Functions inherited from sgpp::solver::VarTimestep
	VarTimestep (std::string pred, std::string corr, size_t imax, double timestepSize, double eps, sgpp::base::ScreenOutput *screen=NULL, double gamma=-1)
	Std-Constructer. More...

virtual	~VarTimestep ()
	Std-Destructor. More...

Public Member Functions inherited from sgpp::solver::StepsizeControl
void	solve (SLESolver &LinearSystemSolver, sgpp::solver::OperationParabolicPDESolverSystem &System, bool bIdentifyLastStep=false, bool verbose=false)
	Pure virtual Function that defines a solve method for an ODE solver. More...

	StepsizeControl (size_t imax, double timestepSize, double eps, double sc, sgpp::base::ScreenOutput *screen=NULL, double gamma=0.5)
	Std-Constructer. More...

virtual	~StepsizeControl ()
	Std-Destructor. More...

Public Member Functions inherited from sgpp::solver::ODESolver
	ODESolver (size_t imax, double timestepSize)
	Std-Constructor. More...

virtual	~ODESolver ()
	Std-Destructor. More...

Public Member Functions inherited from sgpp::solver::SGSolver
double	getEpsilon ()
	gets the the epsilon, that is used in the SGSolver More...

size_t	getNumberIterations ()
	function that returns the number of needed solve steps More...

double	getResiduum ()
	function the returns the residuum (current or final), error of the solver More...

void	setEpsilon (double eps)
	resets the epsilon, that is used in the SGSolver More...

void	setMaxIterations (size_t nIterations)
	resets the number of maximum iterations More...

	SGSolver (size_t nMaximumIterations, double epsilon)
	Std-Constructor. More...

virtual	~SGSolver ()
	Std-Destructor. More...

Protected Member Functions
double	nextTimestep (double tmp_timestepsize, double tmp_timestepsize_old, double norm, double epsilon)

Protected Member Functions inherited from sgpp::solver::VarTimestep
void	corrector (SLESolver &LinearSystemSolver, sgpp::solver::OperationParabolicPDESolverSystem &System, double tmp_timestepsize, sgpp::base::DataVector &dv, sgpp::base::DataVector *rhs)

void	predictor (SLESolver &LinearSystemSolver, sgpp::solver::OperationParabolicPDESolverSystem &System, double tmp_timestepsize, sgpp::base::DataVector &dv, sgpp::base::DataVector &corr, sgpp::base::DataVector *rhs)

Protected Member Functions inherited from sgpp::solver::StepsizeControl
double	maxNorm (sgpp::solver::OperationParabolicPDESolverSystem &System, sgpp::base::DataVector &dv1, sgpp::base::DataVector &dv2)

virtual double	norm (sgpp::solver::OperationParabolicPDESolverSystem &System, sgpp::base::DataVector &dv1, sgpp::base::DataVector &dv2)

double	twoNorm (sgpp::solver::OperationParabolicPDESolverSystem &System, sgpp::base::DataVector &dv1, sgpp::base::DataVector &dv2)

Additional Inherited Members
Protected Attributes inherited from sgpp::solver::VarTimestep
std::string	_corrector

std::string	_predictor

Protected Attributes inherited from sgpp::solver::StepsizeControl
double	_gamma
	damping factor More...

std::string	filename

double	myEps
	epsilon for the step size control More...

double	mySC
	temp. Stepsize Control More...

sgpp::base::ScreenOutput *	myScreen
	Pointer to sgpp::base::ScreenOutput object. More...

Protected Attributes inherited from sgpp::solver::SGSolver
double	myEpsilon
	epsilon needed in the, e.g. final error in the iterative solver, or a timestep More...

size_t	nIterations
	Number of Iterations needed for the solve. More...

size_t	nMaxIterations
	Number of maximum iterations for cg. More...

double	residuum
	residuum More...

Detailed Description

This class implements a step size control using the midpoint method and BDF2 for solving ordinary partial equations.

For solving the system of linear equations the already implemented CG-method is used

Constructor & Destructor Documentation

◆ StepsizeControlBDF()

sgpp::solver::StepsizeControlBDF::StepsizeControlBDF	(	size_t	nTimesteps,
		double	timestepSize,
		double	eps,
		sgpp::base::ScreenOutput *	screen = `NULL`
	)

Std-Constructer.

Parameters

nTimesteps	number of maximum executed iterations
timestepSize	the size of one timestep
eps	the epsilon for the step size control
screen	possible pointer to a sgpp::base::ScreenOutput object

References sgpp::solver::StepsizeControl::filename, and sgpp::solver::StepsizeControl::myEps.

◆ ~StepsizeControlBDF()

sgpp::solver::StepsizeControlBDF::~StepsizeControlBDF ( )

virtual

Std-Destructor.

Member Function Documentation

◆ nextTimestep()

double sgpp::solver::StepsizeControlBDF::nextTimestep	(	double	tmp_timestepsize,
		double	tmp_timestepsize_old,
		double	norm,
		double	epsilon
	)

protectedvirtual

Reimplemented from sgpp::solver::VarTimestep.

References sgpp::combigrid::pow().

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

solver/src/sgpp/solver/ode/StepsizeControlBDF.hpp
solver/src/sgpp/solver/ode/StepsizeControlBDF.cpp

Public Member Functions