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

Legendre polynomial basis using Clenshaw-Curtis quadrature points. More...

#include <Stokhos_ClenshawCurtisLegendreBasis.hpp>

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

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

List of all members.

Public Member Functions
	ClenshawCurtisLegendreBasis (ordinal_type p, bool normalize=false, bool isotropic=false)
	Constructor.
	~ClenshawCurtisLegendreBasis ()
	Destructor.
Implementation of Stokhos::OneDOrthogPolyBasis methods
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 Member Functions
	ClenshawCurtisLegendreBasis (ordinal_type p, const ClenshawCurtisLegendreBasis &basis)
	Copy constructor with specified order.
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	isotropic
	Flag determining if expansion is iostropic (same basis in every dim)

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Detailed Description

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

Legendre polynomial basis using Clenshaw-Curtis quadrature points.

This is the same as Stokhos::LegendreBasis, but uses Clenshaw-Curtis quadrature points (instead of Gauss-Legendre) for sparse grids only.

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Constructor & Destructor Documentation

template<typename ordinal_type , typename value_type >

Stokhos::ClenshawCurtisLegendreBasis< ordinal_type, value_type >::ClenshawCurtisLegendreBasis	(	ordinal_type	p,
		bool	normalize = false,
		bool	isotropic = false
	)

Constructor.

Parameters:

p	order of the basis
normalize	whether polynomials should be given unit norm

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Member Function Documentation

template<typename ordinal_type , typename value_type >

Teuchos::RCP< Stokhos::OneDOrthogPolyBasis< ordinal_type, value_type > > Stokhos::ClenshawCurtisLegendreBasis< 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_ClenshawCurtisLegendreBasis.hpp
• Stokhos_ClenshawCurtisLegendreBasisImp.hpp