Abstract base class for multivariate orthogonal polynomials that support computing double and triple products involving derivatives of the basis polynomials. More...

#include <Stokhos_DerivBasis.hpp>

Inheritance diagram for Stokhos::DerivBasis< ordinal_type, value_type >:

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Collaboration diagram for Stokhos::DerivBasis< ordinal_type, value_type >:

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List of all members.

Public Member Functions
	DerivBasis ()
	Constructor.
virtual	~DerivBasis ()
	Destructor.
virtual Teuchos::RCP < Stokhos::Dense3Tensor < ordinal_type, value_type > >	computeDerivTripleProductTensor (const Teuchos::RCP< const Teuchos::SerialDenseMatrix< ordinal_type, value_type > > &Bij, const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &Cijk) const =0
	Compute triple product tensor $D_{ijk} = \langle\Psi_i\Psi_j D_v\Psi_k\rangle$ where $D_v\Psi_k$ represents the derivative of $\Psi_k$ in the direction .
virtual Teuchos::RCP < Teuchos::SerialDenseMatrix < ordinal_type, value_type > >	computeDerivDoubleProductTensor () const =0
	Compute double product tensor $B_{ij} = \langle \Psi_i D_v\Psi_j\rangle$ where $D_v\Psi_j$ represents the derivative of $\Psi_j$ in the direction .

Detailed Description

template<typename ordinal_type, typename value_type>
class Stokhos::DerivBasis< ordinal_type, value_type >

Abstract base class for multivariate orthogonal polynomials that support computing double and triple products involving derivatives of the basis polynomials.

Member Function Documentation

template<typename ordinal_type , typename value_type >

virtual Teuchos::RCP< Teuchos::SerialDenseMatrix<ordinal_type, value_type> > Stokhos::DerivBasis< ordinal_type, value_type >::computeDerivDoubleProductTensor ( ) const [pure virtual]

Compute double product tensor $B_{ij} = \langle \Psi_i D_v\Psi_j\rangle$ where $D_v\Psi_j$ represents the derivative of $\Psi_j$ in the direction $v$ .

The definition of $v$ is defined by the derived class implementation.

Implemented in Stokhos::CompletePolynomialBasis< ordinal_type, value_type >.

template<typename ordinal_type , typename value_type >

virtual Teuchos::RCP< Stokhos::Dense3Tensor<ordinal_type, value_type> > Stokhos::DerivBasis< ordinal_type, value_type >::computeDerivTripleProductTensor	(	const Teuchos::RCP< const Teuchos::SerialDenseMatrix< ordinal_type, value_type > > &	Bij,
		const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &	Cijk
	)		const `[pure virtual]`

Compute triple product tensor $D_{ijk} = \langle\Psi_i\Psi_j D_v\Psi_k\rangle$ where $D_v\Psi_k$ represents the derivative of $\Psi_k$ in the direction $v$ .

The definition of $v$ is defined by the derived class implementation.

Implemented in Stokhos::CompletePolynomialBasis< ordinal_type, value_type >.

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

Stokhos_DerivBasis.hpp

Public Member Functions

Detailed Description

template<typename ordinal_type, typename value_type> class Stokhos::DerivBasis< ordinal_type, value_type >

Member Function Documentation

template<typename ordinal_type, typename value_type>
class Stokhos::DerivBasis< ordinal_type, value_type >