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.
	~StieltjesGramSchmidtBuilder ()
	Destructor.
Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > >	getReducedBasis () const
	Get reduced basis.
Teuchos::RCP< Quadrature< ordinal_type, value_type > >	getReducedQuadrature () const
	Get reduced quadrature.
void	computeReducedPCEs (const Teuchos::Array< OrthogPolyApprox< ordinal_type, value_type > > &pces, Teuchos::Array< OrthogPolyApprox< ordinal_type, value_type > > &new_pces)
	Get reduced PCEs.

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

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.

Constructor & Destructor Documentation

◆ StieltjesGramSchmidtBuilder()

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.

References quad.

Member Function Documentation

◆ computeReducedPCEs()

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.

References Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::coeff(), gs_basis, Stokhos::ProductContainer< coeff_type >::size(), tensor_basis, and Stokhos::OrthogPolyApprox< ordinal_type, value_type, storage_type >::term().

◆ getReducedBasis()

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.

References gs_basis.

◆ getReducedQuadrature()

template<typename ordinal_type, typename value_type>

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