concepts::QuadratureRule1dGaussLobatto Class Reference

Gauss Lobatto quadrature rule including both endpoints. More...

#include <quadRule.hh>

Inheritance diagram for concepts::QuadratureRule1dGaussLobatto:

Public Member Functions
virtual const Real *	abscissas () const
	Returns a pointer into the array of the abscissas. More...
virtual uint	n () const
	Returns the number of points. More...
virtual void	printRule ()
	print weights and abscissas to stdout More...
	QuadratureRule1dGaussLobatto (uint n)
	Constructor. More...
virtual const Real *	weights () const
	Returns a pointer into the array of the weights. More...
virtual	~QuadratureRule1dGaussLobatto ()

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream. More...

Protected Attributes
const Real *	abscissas_
	Abscissas. More...
const Real *	weights_
	Weights. More...

Private Attributes
Quadrature< 0 >	rule_

Detailed Description

Gauss Lobatto quadrature rule including both endpoints.

is exact for and n = p+1 points. n must be greater or equal to 2.

The abscissas are the zeros of and the weights are .

The computations and the storage of the values are done by the class Quadrature with template parameter 0. The difference between this class and Quadrature is that it is in a class hierarchy of quadrature rules. This has advantages when dynamically switching quadrature rules is needed. On the other hand, this class returns the values via a virtual function call abscissas() and weights() should therefore not be called to often (inside loops etc.).

See also

Quadrature

Author

Philipp Frauenfelder, 2004

Definition at line 94 of file quadRule.hh.

Constructor & Destructor Documentation

QuadratureRule1dGaussLobatto()

concepts::QuadratureRule1dGaussLobatto::QuadratureRule1dGaussLobatto ( uint  n )

inline

Constructor.

Computes the quadrature points.

Parameters

n	Number of points to be computed

Definition at line 100 of file quadRule.hh.

~QuadratureRule1dGaussLobatto()

virtual concepts::QuadratureRule1dGaussLobatto::~QuadratureRule1dGaussLobatto ( )

virtual

Member Function Documentation

abscissas()

virtual const Real* concepts::QuadratureRule1dDynamic::abscissas ( ) const

inlinevirtualinherited

Returns a pointer into the array of the abscissas.

Implements concepts::QuadratureRule1d.

Reimplemented in concepts::QuadratureRule1dTrapeze.

Definition at line 62 of file quadRule.hh.

info()

virtual std::ostream& concepts::QuadratureRule1dGaussLobatto::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::OutputOperator.

n()

virtual uint concepts::QuadratureRule1dGaussLobatto::n ( ) const

inlinevirtual

Returns the number of points.

Implements concepts::QuadratureRule1d.

Definition at line 105 of file quadRule.hh.

printRule()

virtual void concepts::QuadratureRule1d::printRule ( )

virtualinherited

print weights and abscissas to stdout

Reimplemented in concepts::AdaptiveQuadratureRule1d< ruleType >.

weights()

virtual const Real* concepts::QuadratureRule1dDynamic::weights ( ) const

inlinevirtualinherited

Returns a pointer into the array of the weights.

Implements concepts::QuadratureRule1d.

Reimplemented in concepts::QuadratureRule1dTrapeze.

Definition at line 63 of file quadRule.hh.

Member Data Documentation

abscissas_

const Real* concepts::QuadratureRule1dDynamic::abscissas_

protectedinherited

Abscissas.

Definition at line 66 of file quadRule.hh.

rule_

Quadrature<0> concepts::QuadratureRule1dGaussLobatto::rule_

private

Definition at line 109 of file quadRule.hh.

weights_

const Real* concepts::QuadratureRule1dDynamic::weights_

protectedinherited

Weights.

Definition at line 68 of file quadRule.hh.

---

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

• integration/quadRule.hh