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 int	getSparseGridRule () const
	Get sparse grid rule number as defined by Dakota's webbur package.
virtual int	getSparseGridGrowthRule () const
	Get sparse grid rule growth rule as defined by Dakota's webbur package.
Protected Member Functions
Implementation of Stokhos::RecurrenceBasis methods
virtual void	computeRecurrenceCoefficients (ordinal_type n, Teuchos::Array< value_type > &alpha, Teuchos::Array< value_type > &beta, Teuchos::Array< value_type > &delta) const
	Compute recurrence coefficients.
Protected Attributes
bool	isotropic
	Flag determining if expansion is iostropic (same basis in every dim)

---

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.

---

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

---

Member Function Documentation

template<typename ordinal_type , typename value_type >

virtual int Stokhos::ClenshawCurtisLegendreBasis< ordinal_type, value_type >::getSparseGridGrowthRule

(

)

const [inline, virtual]

Get sparse grid rule growth rule as defined by Dakota's webbur package.

This method is needed for building Smolyak sparse grids out of this basis. Returns growth rule appropriate for Clenshaw-Curtis quadrature points. Full expoential growth works well for isotropic case, but not otherwise.

Reimplemented from Stokhos::RecurrenceBasis< ordinal_type, value_type >.

template<typename ordinal_type , typename value_type >

virtual int Stokhos::ClenshawCurtisLegendreBasis< ordinal_type, value_type >::getSparseGridRule

(

)

const [inline, virtual]

Get sparse grid rule number as defined by Dakota's webbur package.

This method is needed for building Smolyak sparse grids out of this basis.

Reimplemented from Stokhos::RecurrenceBasis< ordinal_type, value_type >.

---

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

• Stokhos_ClenshawCurtisLegendreBasis.hpp
• Stokhos_ClenshawCurtisLegendreBasisImp.hpp