Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type > Class Template Reference

Class for building a reduced-dimension basis and quadrature from a given set of polynomial chaos expansions. First generates 1-D orthogonal bases using the discretized Stieltjes procedure, forms their tensor product, and then orthogonalizes using Gram-Schmidt. More...

#include <Stokhos_StieltjesGramSchmidtBuilder.hpp>

Public Member Functions
	StieltjesGramSchmidtBuilder (const Teuchos::RCP< const Quadrature< ordinal_type, value_type > > &quad, const Teuchos::Array< OrthogPolyApprox< ordinal_type, value_type > > &pces, ordinal_type new_order, bool use_pce_qp, bool normalize)
	Constructor. More...
	~StieltjesGramSchmidtBuilder ()
	Destructor. More...
Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > >	getReducedBasis () const
	Get reduced basis. More...
Teuchos::RCP< Quadrature < ordinal_type, value_type > >	getReducedQuadrature () const
	Get reduced quadrature. More...
void	computeReducedPCEs (const Teuchos::Array< OrthogPolyApprox< ordinal_type, value_type > > &pces, Teuchos::Array< OrthogPolyApprox< ordinal_type, value_type > > &new_pces)
	Get reduced PCEs. More...

Protected Attributes
Teuchos::RCP< const Quadrature < ordinal_type, value_type > >	quad
	Quadrature object for original basis. More...
Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > >	tensor_basis
	Reduced tensor basis. More...
Teuchos::RCP< GramSchmidtBasis < ordinal_type, value_type > >	gs_basis
	Reduced Gram-Schmidt basis. More...
Teuchos::RCP < UserDefinedQuadrature < ordinal_type, value_type > >	gs_quad
	Reduced quadrature. More...

Private Member Functions
	StieltjesGramSchmidtBuilder (const StieltjesGramSchmidtBuilder &)
StieltjesGramSchmidtBuilder &	operator= (const StieltjesGramSchmidtBuilder &b)

Detailed Description

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

Class for building a reduced-dimension basis and quadrature from a given set of polynomial chaos expansions. First generates 1-D orthogonal bases using the discretized Stieltjes procedure, forms their tensor product, and then orthogonalizes using Gram-Schmidt.

Definition at line 31 of file Stokhos_StieltjesGramSchmidtBuilder.hpp.

Constructor & Destructor Documentation

template<typename ordinal_type , typename value_type >

Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type >::StieltjesGramSchmidtBuilder	(	const Teuchos::RCP< const Quadrature< ordinal_type, value_type > > &	quad,
		const Teuchos::Array< OrthogPolyApprox< ordinal_type, value_type > > &	pces,
		ordinal_type	new_order,
		bool	use_pce_qp,
		bool	normalize
	)

Constructor.

Definition at line 16 of file Stokhos_StieltjesGramSchmidtBuilderImp.hpp.

template<typename ordinal_type , typename value_type >

Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type >::~StieltjesGramSchmidtBuilder ( )

inline

Destructor.

Definition at line 41 of file Stokhos_StieltjesGramSchmidtBuilder.hpp.

template<typename ordinal_type , typename value_type >

Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type >::StieltjesGramSchmidtBuilder ( const StieltjesGramSchmidtBuilder< ordinal_type, value_type > &  )

private

Member Function Documentation

template<typename ordinal_type , typename value_type >

Teuchos::RCP< const Stokhos::OrthogPolyBasis< ordinal_type, value_type > > Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type >::getReducedBasis

(

)

const

Get reduced basis.

Definition at line 82 of file Stokhos_StieltjesGramSchmidtBuilderImp.hpp.

template<typename ordinal_type , typename value_type >

Teuchos::RCP< Stokhos::Quadrature< ordinal_type, value_type > > Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type >::getReducedQuadrature

(

)

const

Get reduced quadrature.

Definition at line 90 of file Stokhos_StieltjesGramSchmidtBuilderImp.hpp.

template<typename ordinal_type , typename value_type >

void Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type >::computeReducedPCEs	(	const Teuchos::Array< OrthogPolyApprox< ordinal_type, value_type > > &	pces,
		Teuchos::Array< OrthogPolyApprox< ordinal_type, value_type > > &	new_pces
	)

Get reduced PCEs.

Definition at line 98 of file Stokhos_StieltjesGramSchmidtBuilderImp.hpp.

template<typename ordinal_type , typename value_type >

StieltjesGramSchmidtBuilder& Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type >::operator= ( const StieltjesGramSchmidtBuilder< ordinal_type, value_type > &  b )

private

Member Data Documentation

template<typename ordinal_type , typename value_type >

Teuchos::RCP<const Quadrature<ordinal_type, value_type> > Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type >::quad

protected

Quadrature object for original basis.

Definition at line 68 of file Stokhos_StieltjesGramSchmidtBuilder.hpp.

template<typename ordinal_type , typename value_type >

Teuchos::RCP<const OrthogPolyBasis<ordinal_type,value_type> > Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type >::tensor_basis

protected

Reduced tensor basis.

Definition at line 71 of file Stokhos_StieltjesGramSchmidtBuilder.hpp.

template<typename ordinal_type , typename value_type >

Teuchos::RCP< GramSchmidtBasis<ordinal_type,value_type> > Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type >::gs_basis

protected

Reduced Gram-Schmidt basis.

Definition at line 74 of file Stokhos_StieltjesGramSchmidtBuilder.hpp.

template<typename ordinal_type , typename value_type >

Teuchos::RCP< UserDefinedQuadrature<ordinal_type, value_type> > Stokhos::StieltjesGramSchmidtBuilder< ordinal_type, value_type >::gs_quad

protected

Reduced quadrature.

Definition at line 77 of file Stokhos_StieltjesGramSchmidtBuilder.hpp.

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

• Stokhos_StieltjesGramSchmidtBuilder.hpp
• Stokhos_StieltjesGramSchmidtBuilderImp.hpp