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

Generates three-term recurrence using the Lanczos procedure applied to a polynomial chaos expansion in another basis. More...

#include <Stokhos_MonoProjPCEBasis.hpp>

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

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

List of all members.

Public Member Functions
	MonoProjPCEBasis (ordinal_type p, const Stokhos::OrthogPolyApprox< ordinal_type, value_type > &pce, const Stokhos::Quadrature< ordinal_type, value_type > &quad, const Stokhos::Sparse3Tensor< ordinal_type, value_type > &Cijk, bool limit_integration_order=false)
	Constructor.
	~MonoProjPCEBasis ()
	Destructor.
value_type	getNewCoeffs (ordinal_type i) const
	Get new coefficients in this new basis.
void	transformCoeffs (const value_type *in, value_type *out) const
	Map expansion coefficients from this basis to original.
Implementation of Stokhos::OneDOrthogPolyBasis methods
virtual void	getQuadPoints (ordinal_type quad_order, Teuchos::Array< value_type > &points, Teuchos::Array< value_type > &weights, Teuchos::Array< Teuchos::Array< value_type > > &values) const
	Get Gauss quadrature points, weights, and values of basis at points.
virtual Teuchos::RCP < OneDOrthogPolyBasis < ordinal_type, value_type > >	cloneWithOrder (ordinal_type p) const
	Clone this object with the option of building a higher order basis.
Protected Types
typedef Teuchos::SerialDenseMatrix < ordinal_type, value_type >	matrix_type
typedef Teuchos::SerialDenseVector < ordinal_type, value_type >	vector_type
Protected Member Functions
Implementation of Stokhos::RecurrenceBasis methods
virtual bool	computeRecurrenceCoefficients (ordinal_type n, Teuchos::Array< value_type > &alpha, Teuchos::Array< value_type > &beta, Teuchos::Array< value_type > &delta, Teuchos::Array< value_type > &gamma) const
	Compute recurrence coefficients.
Protected Attributes
bool	limit_integration_order
	Flag indicating whether to limit the integration order.
ordinal_type	pce_sz
	Size of PC expansion.
Teuchos::Array< value_type >	pce_norms
	Basis norms.
Teuchos::Array< value_type >	a
	Stores full set of alpha coefficients.
Teuchos::Array< value_type >	b
	Stores full set of beta coefficients.
matrix_type	basis_vecs
	Basis vectors.
vector_type	new_pce
	Projection of pce in new basis.

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Detailed Description

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

Generates three-term recurrence using the Lanczos procedure applied to a polynomial chaos expansion in another basis.

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Constructor & Destructor Documentation

template<typename ordinal_type , typename value_type >

Stokhos::MonoProjPCEBasis< ordinal_type, value_type >::MonoProjPCEBasis	(	ordinal_type	p,
		const Stokhos::OrthogPolyApprox< ordinal_type, value_type > &	pce,
		const Stokhos::Quadrature< ordinal_type, value_type > &	quad,
		const Stokhos::Sparse3Tensor< ordinal_type, value_type > &	Cijk,
		bool	limit_integration_order = false
	)

Constructor.

Parameters:

p	order of the basis
pce	polynomial chaos expansion defining new density function
quad	quadrature data for basis of PC expansion

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Member Function Documentation

template<typename ordinal_type , typename value_type >

Teuchos::RCP< Stokhos::OneDOrthogPolyBasis< ordinal_type, value_type > > Stokhos::MonoProjPCEBasis< ordinal_type, value_type >::cloneWithOrder

(

ordinal_type

p

)

const [virtual]

Clone this object with the option of building a higher order basis.

This method is following the Prototype pattern (see Design Pattern's textbook). The slight variation is that it allows the order of the polynomial to be modified, otherwise an exact copy is formed. The use case for this is creating basis functions for column indices in a spatially varying adaptive refinement context.

Implements Stokhos::OneDOrthogPolyBasis< ordinal_type, value_type >.

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

• Stokhos_MonoProjPCEBasis.hpp
• Stokhos_MonoProjPCEBasisImp.hpp