sgpp::solver::Euler Class Reference

This class implements the explicit and implicit Euler method for solving ordinary partial equations. More...

#include <Euler.hpp>

Inheritance diagram for sgpp::solver::Euler:

Public Member Functions
	Euler (std::string Mode, size_t imax, double timestepSize, bool generateAnimation=false, sgpp::base::ScreenOutput *screen=NULL)
	Std-Constructer. More...
virtual 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...
virtual	~Euler ()
	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...

Additional Inherited Members
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 the explicit and implicit Euler method for solving ordinary partial equations.

Constructor & Destructor Documentation

Euler()

sgpp::solver::Euler::Euler	(	std::string	Mode,
		size_t	imax,
		double	timestepSize,
		bool	generateAnimation = false,
		sgpp::base::ScreenOutput *	screen = NULL
	)

Std-Constructer.

Parameters

Mode	the mode of the euler that should be executed, must be ExEul or ImEul
imax	number of maximum executed iterations
timestepSize	the size of one timestep
generateAnimation	set this, if you want to create a grid evaluation in every time step, in order to create an animation
screen	possible pointer to a sgpp::base::ScreenOutput object

References sgpp::solver::SGSolver::residuum.

~Euler()

sgpp::solver::Euler::~Euler ( )

virtual

Std-Destructor.

Member Function Documentation

solve()

void sgpp::solver::Euler::solve ( SLESolver &  LinearSystemSolver, sgpp::solver::OperationParabolicPDESolverSystem &  System, bool  bIdentifyLastStep = false, bool  verbose = false  )

virtual

Pure virtual Function that defines a solve method for an ODE solver.

Parameters

LinearSystemSolver	reference to an instance of a linear system solver that is used by this ODE solver
System	reference to an sgpp::base::OperationMatrix Object that implements the matrix vector multiplication
bIdentifyLastStep	set this to true to tell System the last step
verbose	prints information during execution of the solver

Implements sgpp::solver::ODESolver.

References sgpp::solver::OperationParabolicPDESolverSystem::coarsenAndRefine(), sgpp::solver::OperationParabolicPDESolverSystem::finishTimestep(), sgpp::solver::OperationParabolicPDESolverSystem::generateRHS(), sgpp::solver::OperationParabolicPDESolverSystem::getGrid(), sgpp::solver::OperationParabolicPDESolverSystem::getGridCoefficients(), sgpp::solver::OperationParabolicPDESolverSystem::getGridCoefficientsForCG(), sgpp::solver::SGSolver::getNumberIterations(), sgpp::solver::SGSolver::getResiduum(), python.statsfileInfo::i, sgpp::solver::SGSolver::nIterations, sgpp::solver::SGSolver::nMaxIterations, sgpp::base::GridPrinter::printSparseGrid(), sgpp::solver::SLESolver::solve(), sgpp::base::ScreenOutput::update(), and sgpp::base::ScreenOutput::writeEmptyLines().

Referenced by sgpp::pde::HeatEquationSolver::solveCrankNicolson(), sgpp::pde::HeatEquationSolverWithStretching::solveCrankNicolson(), sgpp::pde::HeatEquationSolver::solveExplicitEuler(), sgpp::pde::HeatEquationSolverWithStretching::solveExplicitEuler(), sgpp::pde::HeatEquationSolver::solveImplicitEuler(), sgpp::pde::HeatEquationSolverWithStretching::solveImplicitEuler(), and sgpp::pde::HeatEquationSolver::storeInnerSolution().

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

• solver/src/sgpp/solver/ode/Euler.hpp
• solver/src/sgpp/solver/ode/Euler.cpp