Detailed Description

1d Gauss Patterson nested quadrature rule

Definition at line 14 of file GaussPattersonQuadrature.h.

Public Member Functions
	GaussPattersonQuadrature ()

virtual	~GaussPattersonQuadrature ()=default

virtual void	Compute (unsigned int index) override

virtual unsigned int	Exactness (unsigned int quadOrder) const override

Public Member Functions inherited from muq::Approximation::Quadrature
	Quadrature (unsigned int dimIn)

virtual	~Quadrature ()=default

virtual void	Compute (Eigen::RowVectorXi const &orders)

virtual unsigned int	Dim () const

virtual Eigen::MatrixXd const &	Points () const

virtual Eigen::VectorXd const &	Weights () const

Constructor & Destructor Documentation

◆ GaussPattersonQuadrature()

GaussPattersonQuadrature::GaussPattersonQuadrature ( )

Definition at line 5 of file GaussPattersonQuadrature.cpp.

◆ ~GaussPattersonQuadrature()

virtual muq::Approximation::GaussPattersonQuadrature::~GaussPattersonQuadrature ( )

virtualdefault

Member Function Documentation

◆ Compute()

void GaussPattersonQuadrature::Compute ( unsigned int index )

overridevirtual

Implements muq::Approximation::Quadrature.

Definition at line 33 of file GaussPattersonQuadrature.cpp.

References muq::Approximation::Quadrature::pts, and muq::Approximation::Quadrature::wts.

◆ Exactness()

unsigned int GaussPattersonQuadrature::Exactness ( unsigned int quadOrder ) const

overridevirtual

Returns the order of the polynomial that can be integrated exactly by this quadrature rule. An \(n\)-point Gauss quadrature rule integrates polynomials of order \(2n-1\) exactly. Thus, since \(n\)= quadOrder+1, for Gauss quadrature rules, this function will return 2*quadOrder+1.

In the multivariate tensor product rule, the maximum exactness across all dimensions is returned.

If not exactness information is known (or implemented) for a particular quadrature rule, an exception will be thrown.

Reimplemented from muq::Approximation::Quadrature.

Definition at line 10 of file GaussPattersonQuadrature.cpp.

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

doxygen_prep/MUQ/Approximation/Quadrature/GaussPattersonQuadrature.h
doxygen_prep/modules/Approximation/src/Quadrature/GaussPattersonQuadrature.cpp