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.
	~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.

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

• Stokhos_StieltjesGramSchmidtBuilder.hpp
• Stokhos_StieltjesGramSchmidtBuilderImp.hpp