SG++
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...

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...

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  OperationLaplaceEnhancedLinear
Implements the Laplace operator based on the UpDownOneOpDimEnhanced method. More...

class  OperationLaplaceEnhancedLinearBoundary
Implements the Laplace operator based on the UpDownOneOpDimEnhanced method. 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  OperationLaplaceModLinear
Implementation of Laplace for mod linear functions. 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  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  OperationMatrixLTwoDotExplicitPeriodic
Explicit representation of the matrix $$(\Phi_i,\Phi_j)_{L2}$$ for a sparse grid. More...

class  OperationMatrixLTwoDotPeriodic
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...

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...
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...