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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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 . More...

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 . More...

Public Member Functions inherited from Stokhos::OrthogPolyBasis< ordinal_type, value_type >
	OrthogPolyBasis ()
	Constructor.

virtual	~OrthogPolyBasis ()
	Destructor.

virtual ordinal_type	order () const =0
	Return order of basis.

virtual ordinal_type	dimension () const =0
	Return dimension of basis.

virtual ordinal_type	size () const =0
	Return total size of basis.

virtual const Teuchos::Array < value_type > &	norm_squared () const =0
	Return array storing norm-squared of each basis polynomial. More...

virtual const value_type &	norm_squared (ordinal_type i) const =0
	Return norm squared of basis polynomial `i`.

virtual Teuchos::RCP < Stokhos::Sparse3Tensor < ordinal_type, value_type > >	computeTripleProductTensor () const =0
	Compute triple product tensor. More...

virtual Teuchos::RCP < Stokhos::Sparse3Tensor < ordinal_type, value_type > >	computeLinearTripleProductTensor () const =0
	Compute linear triple product tensor where k = 0,1.

virtual value_type	evaluateZero (ordinal_type i) const =0
	Evaluate basis polynomial `i` at zero.

virtual void	evaluateBases (const Teuchos::ArrayView< const value_type > &point, Teuchos::Array< value_type > &basis_vals) const =0
	Evaluate basis polynomials at given point `point`. More...

virtual void	print (std::ostream &os) const =0
	Print basis to stream `os`.

virtual const std::string &	getName () const =0
	Return string name of basis.

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 >