QGaussLog< dim > Class Template Reference
[Quadrature formulas]

Inheritance diagram for QGaussLog< dim >:

[legend]

List of all members.

Public Member Functions
	QGaussLog (const unsigned int n, const bool revert=false)
template<>
std::vector< double >	set_quadrature_points (const unsigned int) const
template<>
std::vector< double >	set_quadrature_weights (const unsigned int) const
template<>
	QGaussLog (const unsigned int n, const bool revert)
Protected Member Functions
std::vector< double >	set_quadrature_points (const unsigned int n) const
std::vector< double >	set_quadrature_weights (const unsigned int n) const

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Detailed Description

template<int dim>
class QGaussLog< dim >

Gauss Quadrature Formula with logarithmic weighting function. This formula is used to to integrate ln|x|*f(x) on the interval [0,1], where f is a smooth function without singularities. The collection of quadrature points and weights has been obtained using Numerical Recipes.

Notice that only the function f(x) should be provided, i.e., . Setting the revert flag to true at construction time switches the weight from ln|x| to ln|1-x|.

The weights and functions have been tabulated up to order 12.

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Constructor & Destructor Documentation

template<int dim>

QGaussLog< dim >::QGaussLog	(	const unsigned int	n,
		const bool	revert = false
	)

Generate a formula with n quadrature points

template<>

QGaussLog< 1 >::QGaussLog	(	const unsigned int	n,
		const bool	revert
	)			[inline]

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Member Function Documentation

template<int dim>

std::vector<double> QGaussLog< dim >::set_quadrature_points

(

const unsigned int

n

)

const [protected]

Sets the points of the quadrature formula.

template<int dim>

std::vector<double> QGaussLog< dim >::set_quadrature_weights

(

const unsigned int

n

)

const [protected]

Sets the weights of the quadrature formula.

template<>

std::vector< double > QGaussLog< 1 >::set_quadrature_points

(

const unsigned

int

)

const [inline]

template<>

std::vector< double > QGaussLog< 1 >::set_quadrature_weights

(

const unsigned

int

)

const [inline]

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

• base/include/base/quadrature_lib.h