Stokhos::PseudoSpectralOperator< ordinal_t, value_t, point_compare_type > Class Template Reference

An operator interface for building pseudo-spectral approximations. More...

#include <Stokhos_PseudoSpectralOperator.hpp>

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

Public Types
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
	PseudoSpectralOperator ()
	Constructor.
virtual	~PseudoSpectralOperator ()
	Destructor.
virtual ordinal_type	point_size () const =0
	Number of points.
virtual ordinal_type	coeff_size () const =0
	Number of coefficients.
virtual iterator	begin ()=0
	Iterator to begining of point set.
virtual iterator	end ()=0
	Iterator to end of point set.
virtual const_iterator	begin () const =0
	Iterator to begining of point set.
virtual const_iterator	end () const =0
	Iterator to end of point set.
virtual set_iterator	set_begin ()=0
	Iterator to begining of point set.
virtual set_iterator	set_end ()=0
	Iterator to end of point set.
virtual const_set_iterator	set_begin () const =0
	Iterator to begining of point set.
virtual const_set_iterator	set_end () const =0
	Iterator to end of point set.
virtual ordinal_type	index (const point_type &point) const =0
	Get point index for given point.
virtual const point_type &	point (ordinal_type n) const =0
	Get point for given index.
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 =0
	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 =0
	Transform PCE coefficients to quadrature values. More...

Detailed Description

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

An operator interface for building pseudo-spectral approximations.

Member Function Documentation

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

virtual void Stokhos::PseudoSpectralOperator< 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

pure virtual

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.

Implemented in Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

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

virtual void Stokhos::PseudoSpectralOperator< 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

pure virtual

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.

Implemented in Stokhos::TensorProductPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, Stokhos::QuadraturePseudoSpectralOperator< ordinal_t, value_t, point_compare_type >, and Stokhos::SmolyakPseudoSpectralOperator< ordinal_t, value_t, point_compare_type >.

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

• Stokhos_PseudoSpectralOperator.hpp