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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 >:
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List of all members.

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_typepoint (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.
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.

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


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