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

Abstract base class for reduced basis strategies built from polynomial chaos expansions in some other basis. More...

#include <Stokhos_ReducedPCEBasis.hpp>

Inheritance diagram for Stokhos::ReducedPCEBasis< ordinal_type, value_type >:

Collaboration diagram for Stokhos::ReducedPCEBasis< ordinal_type, value_type >:

Public Member Functions
	ReducedPCEBasis ()
	Default constructor.
virtual	~ReducedPCEBasis ()
	Destructor.
Public Member Functions inherited from Stokhos::OrthogPolyBasis< ordinal_type, value_type >
	OrthogPolyBasis ()
	Constructor.
virtual	~OrthogPolyBasis ()
	Destructor.
virtual ordinal_type	order () const =0
	Return order of basis.
virtual ordinal_type	dimension () const =0
	Return dimension of basis.
virtual ordinal_type	size () const =0
	Return total size of basis.
virtual const Teuchos::Array< value_type > &	norm_squared () const =0
	Return array storing norm-squared of each basis polynomial.
virtual const value_type &	norm_squared (ordinal_type i) const =0
	Return norm squared of basis polynomial i.
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > >	computeTripleProductTensor () const =0
	Compute triple product tensor.
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > >	computeLinearTripleProductTensor () const =0
	Compute linear triple product tensor where k = 0,1.
virtual value_type	evaluateZero (ordinal_type i) const =0
	Evaluate basis polynomial i at zero.
virtual void	evaluateBases (const Teuchos::ArrayView< const value_type > &point, Teuchos::Array< value_type > &basis_vals) const =0
	Evaluate basis polynomials at given point point.
virtual void	print (std::ostream &os) const =0
	Print basis to stream os.
virtual const std::string &	getName () const =0
	Return string name of basis.

ReducedBasis virtual methods
virtual void	transformToOriginalBasis (const value_type *in, value_type *out, ordinal_type ncol=1, bool transpose=false) const =0
	Transform coefficients to original basis from this basis.
virtual void	transformFromOriginalBasis (const value_type *in, value_type *out, ordinal_type ncol=1, bool transpose=false) const =0
	Transform coefficients from original basis to this basis.
virtual Teuchos::RCP< const Stokhos::Quadrature< ordinal_type, value_type > >	getReducedQuadrature () const =0
	Get reduced quadrature object.

Detailed Description

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

Abstract base class for reduced basis strategies built from polynomial chaos expansions in some other basis.

Member Function Documentation

getReducedQuadrature()

template<typename ordinal_type, typename value_type>

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

pure virtual

Get reduced quadrature object.

Implemented in Stokhos::GSReducedPCEBasisBase< ordinal_type, value_type >, Stokhos::MonomialProjGramSchmidtPCEBasis2< ordinal_type, value_type >, Stokhos::ProductLanczosGramSchmidtPCEBasis< ordinal_type, value_type >, and Stokhos::ProductLanczosPCEBasis< ordinal_type, value_type >.

References ReducedPCEBasis().

transformFromOriginalBasis()

template<typename ordinal_type, typename value_type>

virtual void Stokhos::ReducedPCEBasis< ordinal_type, value_type >::transformFromOriginalBasis ( const value_type * in, value_type * out, ordinal_type ncol = 1, bool transpose = false ) const

pure virtual

Transform coefficients from original basis to this basis.

Implemented in Stokhos::GSReducedPCEBasisBase< ordinal_type, value_type >, Stokhos::MonomialProjGramSchmidtPCEBasis2< ordinal_type, value_type >, Stokhos::ProductLanczosGramSchmidtPCEBasis< ordinal_type, value_type >, and Stokhos::ProductLanczosPCEBasis< ordinal_type, value_type >.

transformToOriginalBasis()

template<typename ordinal_type, typename value_type>

virtual void Stokhos::ReducedPCEBasis< ordinal_type, value_type >::transformToOriginalBasis ( const value_type * in, value_type * out, ordinal_type ncol = 1, bool transpose = false ) const

pure virtual

Transform coefficients to original basis from this basis.

Implemented in Stokhos::GSReducedPCEBasisBase< ordinal_type, value_type >, Stokhos::MonomialProjGramSchmidtPCEBasis2< ordinal_type, value_type >, Stokhos::ProductLanczosGramSchmidtPCEBasis< ordinal_type, value_type >, and Stokhos::ProductLanczosPCEBasis< ordinal_type, value_type >.

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

• Stokhos_ReducedPCEBasis.hpp