sgpp::pde Namespace Reference

Classes
class	DowndPhidPhiBBIterativeLinear
	This class is helper class to implement the complete Down of following bilinearform \(\int_{x} \frac{\partial \phi(x)}{x} \frac{\partial \phi(x)}{x} dx\) for a given dimension by an iterative algorithms on adaptive Sparse Grids with linear ansatzfunctions without boundaries. More...
class	DowndPhidPhiBBIterativeLinearBoundary
	This class is helper class to implement the complete Down of following bilinearform \(\int_{x} \frac{\partial \phi(x)}{x} \frac{\partial \phi(x)}{x} dx\) for a given dimension by an iterative algorithms on adaptive Sparse Grids with linear ansatzfunctions with boundaries. More...
class	DowndPhidPhiBBIterativeLinearStretched
	This class is helper class to implement the complete Down of following bilinearform \(\int_{x} \frac{\partial \phi(x)}{x} \frac{\partial \phi(x)}{x} dx\) for a given dimension by an iterative algorithms on adaptive Sparse Grids with linear ansatzfunctions without boundaries. More...
class	DowndPhidPhiBBIterativeLinearStretchedBoundary
	This class is helper class to implement the complete Down of following bilinearform \(\int_{x} \frac{\partial \phi(x)}{x} \frac{\partial \phi(x)}{x} dx\) for a given dimension by an iterative algorithms on adaptive Sparse Grids with linear ansatzfunctions with boundaries. More...
class	dPhidPhiDownModLinear
	Implementation of sweep operator (): 1D Down for Bilinearform \(\int_{x} \frac{\partial \phi(x)}{\partial x} \frac{\partial \phi(x)}{\partial x} dx\) on mod-linear grids. More...
class	dPhidPhiUpModLinear
	Implementation of sweep operator (): 1D Up for Bilinearform \(\int_{x} \frac{\partial \phi(x)}{\partial x} \frac{\partial \phi(x)}{\partial x} dx\) on mod-linear grids. More...
class	EllipticPDESolver
	This class extends the PDESolver with functions that are needed to solve elliptic PDEs. More...
class	HeatEquationParabolicPDESolverSystem
	This class implements the ParabolicPDESolverSystem for the Heat Equation. More...
class	HeatEquationParabolicPDESolverSystemParallelOMP
	This class implements the ParabolicPDESolverSystem for the Heat Equation. More...
class	HeatEquationSolver
	This class provides a simple-to-use solver of the multi dimensional Heat Equation on Sparse Grids. More...
class	HeatEquationSolverWithStretching
	This class provides a simple-to-use solver of the multi dimensional Heat Equation that uses Sparse Grids. More...
class	LaplaceDownGradientPrewavelet
	Implements the downGradient Method needed for the Laplace operator on prewavelet grids. More...
class	LaplaceEnhancedDownBBLinear
	Implementation of sweep operator () for enhanced Laplace operator, down operation. More...
class	LaplaceEnhancedDownBBLinearBoundary
	Implementation of sweep operator () for enhanced Laplace operator, down operation. More...
class	LaplaceEnhancedUpBBLinear
	Implementation of sweep operator () for enhanced Laplace operator, up operation. More...
class	LaplaceEnhancedUpBBLinearBoundary
	Implementation of sweep operator () for enhanced Laplace operator, up operation. More...
class	LaplaceUpGradientPrewavelet
	Implements the upGradient Method needed for the Laplace operator on prewavelet grids. More...
class	LaplaceUpPrewavelet
	Implements the down Method needed for the Laplace operator on prewavelet grids. More...
class	OperationEllipticPDESolverSystem
	Abstract definition of a System that is used to solve elliptic partial differential equations. More...
class	OperationEllipticPDESolverSystemDirichlet
	Defines a System that is used to solve elliptic partial differential equations. More...
class	OperationEllipticPDESolverSystemFreeBoundaries
	Defines a System that is used to solve elliptic partial differential equations. More...
class	OperationLaplaceBspline
	Implementation for Bspline functions of Laplace Operation, bspline grids without boundaries. More...
class	OperationLaplaceBsplineBoundary
	Implementation for BsplineBoundary functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplaceBsplineClenshawCurtis
	Implementation for BsplineClenshawCurtis functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplaceEnhancedLinear
	Implements the Laplace operator based on the UpDownOneOpDimEnhanced method. More...
class	OperationLaplaceEnhancedLinearBoundary
	Implements the Laplace operator based on the UpDownOneOpDimEnhanced method. More...
class	OperationLaplaceExplicitBspline
	Implementation for B-spline functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplaceExplicitLinear
	Implementation for B-spline functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplaceExplicitModBspline
	Implementation for B-spline functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplaceLinear
	Implementation for linear functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplaceLinearBoundary
	Implementation of Laplace for linear functions with boundaries. More...
class	OperationLaplaceLinearStretched
	Implementation for linear functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplaceLinearStretchedBoundary
	Implementation of Laplace for linear functions with boundaries. More...
class	OperationLaplaceModBspline
	Implementation for ModBspline functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplaceModBsplineClenshawCurtis
	Implementation for ModBsplineClenshawCurtis functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplaceModLinear
	Implementation of Laplace for mod linear functions. More...
class	OperationLaplaceModPoly
	Implementation for ModPoly functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplaceModPolyClenshawCurtis
	Implementation for ModPolyClenshawCurtis functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplacePoly
	Implementation for Poly functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplacePolyBoundary
	Implementation for PolyBoundary functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplacePolyClenshawCurtis
	Implementation for PolyClenshawCurtis functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplacePolyClenshawCurtisBoundary
	Implementation for PolyClenshawCurtisBoundary functions of Laplace Operation, linear grids without boundaries. More...
class	OperationLaplacePrewavelet
	Implementation for linear functions of Laplace Operation, prewavelet grids without boundaries. More...
class	OperationLTwoDotProductLinear
	Implements the standard L 2 scalar product on linear grids (no boundaries) More...
class	OperationLTwoDotProductLinearBoundary
	Implements the standard L 2 scalar product on linear boundary grids. More...
class	OperationLTwoDotProductLinearStretched
	Implements the standard L 2 scalar product on linear grids (no boundaries) More...
class	OperationLTwoDotProductLinearStretchedBoundary
	Implements the standard L 2 scalar product on linear boundary grids. More...
class	OperationMatrixLTwoDotBspline
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotBsplineBoundary
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotBsplineClenshawCurtis
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotExplicitBspline
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitBsplineBoundary
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitBsplineClenshawCurtis
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitLinear
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitLinearBoundary
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitModBspline
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitModBsplineClenshawCurtis
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitModifiedLinear
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitModLinear
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitModPoly
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitModPolyClenshawCurtis
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitPeriodic
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitPoly
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitPolyBoundary
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitPolyClenshawCurtis
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotExplicitPolyClenshawCurtisBoundary
	Explicit representation of the matrix \((\Phi_i,\Phi_j)_{L2}\) for a sparse grid. More...
class	OperationMatrixLTwoDotModBspline
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotModBsplineClenshawCurtis
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotModLinear
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotModPoly
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotModPolyClenshawCurtis
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotPeriodic
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotPoly
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotPolyBoundary
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotPolyClenshawCurtis
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationMatrixLTwoDotPolyClenshawCurtisBoundary
	Implements the standard L 2 scalar product on periodic grids. More...
class	OperationParabolicPDESolverSystemDirichlet
	Defines a System that is used to solve parabolic partial differential equations. More...
class	OperationParabolicPDESolverSystemFreeBoundaries
	Defines a System that is used to solve parabolic partial differential equations. More...
class	ParabolicPDESolver
	This class extends the PDESolver with functions that are needed to solve parabolic PDEs. More...
class	PDESolver
	This class provides defines a implements basic task and tools which are useful while solving PDEs. More...
class	PhiPhiDownBBLinear
	Implementation of sweep operator (): 1D Down for Bilinearform \(\int_{x} \phi(x) \phi(x) dx\). More...
class	PhiPhiDownBBLinearBoundary
	Implementation of sweep operator (): 1D Down for Bilinearform \(\int_{x} \phi(x) \phi(x) dx\) on linear boundary grids. More...
class	PhiPhiDownBBLinearStretched
	Implementation of sweep operator (): 1D Down for Bilinearform \(\int_{x} \phi(x) \phi(x) dx\). More...
class	PhiPhiDownBBLinearStretchedBoundary
	Implementation of sgpp::base::sweep operator (): 1D Down for Bilinearform \(\int_{x} \phi(x) \phi(x) dx\) on linear boundary grids. More...
class	PhiPhiDownModLinear
	Implementation of sweep operator (): 1D Down for Bilinearform \(\int_{x} \phi(x) \phi(x) dx\) on mod-linear grids. More...
class	PhiPhiUpBBLinear
	Implementation of sweep operator (): 1D Up for Bilinearform \(\int_{x} \phi(x) \phi(x) dx\). More...
class	PhiPhiUpBBLinearBoundary
	Implementation of sweep operator (): 1D Up for Bilinearform \(\int_{x} \phi(x) \phi(x) dx\) on linear boundary grids. More...
class	PhiPhiUpBBLinearStretched
	Implementation of sweep operator (): 1D Up for Bilinearform \(\int_{x} \phi(x) \phi(x) dx\). More...
class	PhiPhiUpBBLinearStretchedBoundary
	Implementation of sgpp::base::sweep operator (): 1D Up for Bilinearform \(\int_{x} \phi(x) \phi(x) dx\) on linear boundary grids. More...
class	PhiPhiUpModLinear
	Implementation of sweep operator (): 1D Up for Bilinearform \(\int_{x} \phi(x) \phi(x) dx\) on mod-linear grids. More...
class	PoissonEquationEllipticPDESolverSystemDirichlet
	This class uses OperationEllipticPDESolverSystemDirichlet to define a solver system for the Poission Equation. More...
class	PoissonEquationSolver
	This class provides a simple-to-use solver of the multi dimensional Poisson Equation on Sparse Grids. More...
class	StdUpDown
	Implements a standard Up/Down Schema without any operation dim. More...
class	UpDownFourOpDims
	Implements the Up/Down scheme with four dimensions with special operations: i,j,k,l. More...
class	UpDownOneOpDim
	Implements the Up/Down scheme with one dimension with a special operation. More...
class	UpDownOneOpDimEnhanced
	Implements a modified Up/Down Schema with one operation dim. More...
class	UpDownOneOpDimWithShadow
	Implements the Up/Down scheme with one dimension with a special operation. More...
class	UpDownTwoOpDims
	Implements the Up/Down scheme with two dimensions with special operations: i,j. More...
class	UpdPhidPhiBBIterativeLinearBoundary
	This class is helper class to implement the complete Up of following bilinearform \(\int_{x} \frac{\partial \phi(x)}{x} \frac{\partial \phi(x)}{x} dx\) for a given dimension by an iterative algorithms on adaptive Sparse Grids with linear ansatzfunctions with boundaries. More...
class	UpdPhidPhiBBIterativeLinearStretchedBoundary
	This class is helper class to implement the complete Up of following bilinearform \(\int_{x} \frac{\partial \phi(x)}{x} \frac{\partial \phi(x)}{x} dx\) for a given dimension by an iterative algorithms on adaptive Sparse Grids with linear ansatzfunctions with boundaries. More...