An operator for building pseudo-spectral coefficients using tensor-product quadrature. More...

#include <Stokhos_TensorProductPseudoSpectralOperator.hpp>

Inheritance diagram for Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >:

Public Types
typedef ordinal_t	ordinal_type

typedef value_t	value_type

typedef PseudoSpectralOperator < ordinal_type, value_type, point_compare_type >	base_type

typedef base_type::point_type	point_type

typedef base_type::point_set_type	point_set_type

typedef base_type::point_map_type	point_map_type

typedef base_type::iterator	iterator

typedef base_type::const_iterator	const_iterator

typedef base_type::set_iterator	set_iterator

typedef base_type::const_set_iterator	const_set_iterator

typedef MultiIndex< ordinal_type >	multiindex_type

Public Types inherited from Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >
typedef ordinal_t	ordinal_type

typedef value_t	value_type

typedef TensorProductElement < ordinal_type, value_type >	point_type

typedef std::map< point_type, std::pair< value_type, ordinal_type > , point_compare_type >	point_set_type

typedef Teuchos::Array < point_type >	point_map_type

typedef point_map_type::iterator	iterator

typedef point_map_type::const_iterator	const_iterator

typedef point_set_type::iterator	set_iterator

typedef point_set_type::const_iterator	const_set_iterator

Public Member Functions
	TensorProductPseudoSpectralOperator (const ProductBasis< ordinal_type, value_type > &product_basis, bool use_pst_=false, multiindex_type multiindex=multiindex_type(), const point_compare_type &point_compare=point_compare_type())
	Constructor. More...

virtual	~TensorProductPseudoSpectralOperator ()
	Destructor. More...

ordinal_type	point_size () const
	Number of points. More...

ordinal_type	coeff_size () const
	Number of coefficients. More...

iterator	begin ()
	Iterator to begining of point set. More...

iterator	end ()
	Iterator to end of point set. More...

const_iterator	begin () const
	Iterator to begining of point set. More...

const_iterator	end () const
	Iterator to end of point set. More...

set_iterator	set_begin ()
	Iterator to begining of point set. More...

set_iterator	set_end ()
	Iterator to end of point set. More...

const_set_iterator	set_begin () const
	Iterator to begining of point set. More...

const_set_iterator	set_end () const
	Iterator to end of point set. More...

ordinal_type	index (const point_type &point) const
	Get point index for given point. More...

const point_type &	point (ordinal_type n) const
	Get point for given index. More...

virtual void	transformQP2PCE (const value_type &alpha, const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &input, Teuchos::SerialDenseMatrix< ordinal_type, value_type > &result, const value_type &beta, bool trans=false) const
	Transform values at quadrature points to PCE coefficients. More...

virtual void	transformPCE2QP (const value_type &alpha, const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &input, Teuchos::SerialDenseMatrix< ordinal_type, value_type > &result, const value_type &beta, bool trans=false) const
	Transform PCE coefficients to quadrature values. More...

Public Member Functions inherited from Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >
	PseudoSpectralOperator ()
	Constructor. More...

virtual	~PseudoSpectralOperator ()
	Destructor. More...

Protected Member Functions
void	apply_direct (const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &A, const value_type &alpha, const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &input, Teuchos::SerialDenseMatrix< ordinal_type, value_type > &result, const value_type &beta, bool trans) const
	Apply transformation operator using direct method. More...

void	apply_pst (const Teuchos::Array< Teuchos::SerialDenseMatrix< ordinal_type, value_type > > &Ak, const value_type &alpha, const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &input, Teuchos::SerialDenseMatrix< ordinal_type, value_type > &result, const value_type &beta, bool trans, bool reorder_input, bool reorder_result) const
	Apply tranformation operator using PST method. More...

Protected Attributes
bool	use_pst
	Use partial-summation-transformation. More...

ordinal_type	coeff_sz
	Number of coefficients. More...

ordinal_type	dim
	Dimension. More...

point_set_type	points
	Quadrature points. More...

point_map_type	point_map
	Map index to point term. More...

bool	reorder
	Do we need to reorder coefficients for PST. More...

Teuchos::Array< ordinal_type >	perm
	Permutation array when reordering for PST. More...

Teuchos::SerialDenseMatrix < ordinal_type, value_type >	qp2pce
	Matrix mapping points to coefficients. More...

Teuchos::SerialDenseMatrix < ordinal_type, value_type >	pce2qp
	Matrix mapping coefficients to points. More...

Teuchos::Array < Teuchos::SerialDenseMatrix < ordinal_type, value_type > >	qp2pce_k
	Matrix mapping points to coefficients for each dimension for PST. More...

Teuchos::Array < Teuchos::SerialDenseMatrix < ordinal_type, value_type > >	pce2qp_k
	Matrix mapping coefficients to points for each dimension for PST. More...

Teuchos::BLAS< ordinal_type, value_type >	blas
	BLAS wrappers. More...

Detailed Description

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
class Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >

An operator for building pseudo-spectral coefficients using tensor-product quadrature.

Definition at line 29 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

Member Typedef Documentation

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

typedef ordinal_t Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::ordinal_type

Definition at line 33 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

typedef value_t Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::value_type

Definition at line 34 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

typedef PseudoSpectralOperator<ordinal_type,value_type,point_compare_type> Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::base_type

Definition at line 35 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

typedef base_type::point_type Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_type

Definition at line 36 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

typedef base_type::point_set_type Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_set_type

Definition at line 37 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

typedef base_type::point_map_type Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_map_type

Definition at line 38 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

typedef base_type::iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::iterator

Definition at line 39 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

typedef base_type::const_iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::const_iterator

Definition at line 40 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

typedef base_type::set_iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::set_iterator

Definition at line 41 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

typedef base_type::const_set_iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::const_set_iterator

Definition at line 42 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

typedef MultiIndex<ordinal_type> Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::multiindex_type

Definition at line 44 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

Constructor & Destructor Documentation

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::TensorProductPseudoSpectralOperator	(	const ProductBasis< ordinal_type, value_type > &	product_basis,
		bool	use_pst_ = `false`,
		multiindex_type	multiindex = `multiindex_type()`,
		const point_compare_type &	point_compare = `point_compare_type()`
	)

inline

Constructor.

Definition at line 47 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::~TensorProductPseudoSpectralOperator ( )

inlinevirtual

Destructor.

Definition at line 185 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

Member Function Documentation

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

ordinal_type Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_size ( ) const

inlinevirtual

Number of points.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 188 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

ordinal_type Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::coeff_size ( ) const

inlinevirtual

Number of coefficients.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 191 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::begin ( )

inlinevirtual

Iterator to begining of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 194 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::end ( )

inlinevirtual

Iterator to end of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 197 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

const_iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::begin ( ) const

inlinevirtual

Iterator to begining of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 200 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

const_iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::end ( ) const

inlinevirtual

Iterator to end of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 203 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

set_iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::set_begin ( )

inlinevirtual

Iterator to begining of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 206 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

set_iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::set_end ( )

inlinevirtual

Iterator to end of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 209 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

const_set_iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::set_begin ( ) const

inlinevirtual

Iterator to begining of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 212 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

const_set_iterator Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::set_end ( ) const

inlinevirtual

Iterator to end of point set.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 215 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

ordinal_type Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::index ( const point_type & point ) const

inlinevirtual

Get point index for given point.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 218 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

const point_type& Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point ( ordinal_type n ) const

inlinevirtual

Get point for given index.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 226 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual void Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::transformQP2PCE	(	const value_type &	alpha,
		const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	input,
		Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	result,
		const value_type &	beta,
		bool	trans = `false`
	)		const

inlinevirtual

Transform values at quadrature points to PCE coefficients.

input is a vector storing values of a function at the quadrature points, and result will contain the resulting polynomial chaos coefficients. input and result can have multiple columns for vector-valued functions and set trans to true if these (multi-) vectors are layed out in a transposed fashion.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 236 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

virtual void Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::transformPCE2QP	(	const value_type &	alpha,
		const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	input,
		Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	result,
		const value_type &	beta,
		bool	trans = `false`
	)		const

inlinevirtual

Transform PCE coefficients to quadrature values.

input is a vector storing polynomial chaos coefficients and result will contain the resulting values at the quadrature points. input and result can have multiple columns for vector-valued functions and set trans to true if these (multi-) vectors are layed out in a transposed fashion.

Implements Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

Definition at line 256 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

void Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::apply_direct	(	const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	A,
		const value_type &	alpha,
		const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	input,
		Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	result,
		const value_type &	beta,
		bool	trans
	)		const

inlineprotected

Apply transformation operator using direct method.

Definition at line 280 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

void Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::apply_pst	(	const Teuchos::Array< Teuchos::SerialDenseMatrix< ordinal_type, value_type > > &	Ak,
		const value_type &	alpha,
		const Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	input,
		Teuchos::SerialDenseMatrix< ordinal_type, value_type > &	result,
		const value_type &	beta,
		bool	trans,
		bool	reorder_input,
		bool	reorder_result
	)		const

inlineprotected

Apply tranformation operator using PST method.

For k=1,...,d, let A_k be the m_k-by-n_k quadrature operator for dimension k and A = A_1 ... A_d be m--n where m = m_1...m_d and n = n_1...n_d. For any two matrices B and C and vector x, (B C)x = vec( C*X*B^T ) = vec( C*(B*X^T)^T ) where x = vec(X), and the vec() operator makes a vector out of a matrix by stacking columns. Applying this formula recursively to A yields the simple algorithm for computing y = A*x (x is n-by-1 and y is m-by-1): X = x; for k=1:d n = n / n_k; X = reshape(X, n, n_k); X = A_k*X'; n = n * m_k; end y = reshape(X, m, 1);

When x has p columns, it is somehwat more complicated because the standard transpose above isn't correct. Instead the transpose needs to be applied to each p block in X.

The strategy here for dealing with transposed input and result is to transpose them when copying to/from the temporary buffers used in the algorithm.

Definition at line 334 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

Member Data Documentation

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

bool Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::use_pst

protected

Use partial-summation-transformation.

Definition at line 466 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

ordinal_type Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::coeff_sz

protected

Number of coefficients.

Definition at line 469 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

ordinal_type Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::dim

protected

Dimension.

Definition at line 472 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

point_set_type Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::points

protected

Quadrature points.

Definition at line 475 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

point_map_type Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::point_map

protected

Map index to point term.

Definition at line 478 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

bool Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::reorder

protected

Do we need to reorder coefficients for PST.

Definition at line 481 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

Teuchos::Array<ordinal_type> Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::perm

protected

Permutation array when reordering for PST.

Definition at line 484 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

Teuchos::SerialDenseMatrix<ordinal_type,value_type> Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::qp2pce

protected

Matrix mapping points to coefficients.

Definition at line 487 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

Teuchos::SerialDenseMatrix<ordinal_type,value_type> Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::pce2qp

protected

Matrix mapping coefficients to points.

Definition at line 490 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

Teuchos::Array< Teuchos::SerialDenseMatrix<ordinal_type,value_type> > Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::qp2pce_k

protected

Matrix mapping points to coefficients for each dimension for PST.

Definition at line 493 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

Teuchos::Array< Teuchos::SerialDenseMatrix<ordinal_type,value_type> > Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::pce2qp_k

protected

Matrix mapping coefficients to points for each dimension for PST.

Definition at line 496 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>

Teuchos::BLAS<ordinal_type,value_type> Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >::blas

protected

BLAS wrappers.

Definition at line 499 of file Stokhos_TensorProductPseudoSpectralOperator.hpp.

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

Stokhos_TensorProductPseudoSpectralOperator.hpp

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type> class Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<typename ordinal_t, typename value_t, typename point_compare_type = typename DefaultPointCompare<ordinal_t,value_t>::type>
class Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >