Defines a Gauss-Legendre quadrature set on the interval [-1,1]. More...

Inheritance diagram for hummingbird::GaussLegendre:

Collaboration diagram for hummingbird::GaussLegendre:

Public Member Functions
	GaussLegendre (const unsigned int n_points)
	Construct a new GaussLegendre object.
Public Member Functions inherited from hummingbird::QuadratureBase< double >
	QuadratureBase ()=default
double	GetWeight (const unsigned int abscissa_index) const
	Get the weight value corresponding to a given abscissa value.
double	GetAbscissa (const unsigned int index) const
	Get the abscissa corresponding to the index.
double	Integrate (const std::vector< QuadraturePair > &quad_pairs) const
	Integrate the function using the function value and its location on the quadrature grid.
const std::vector< double > &	abscissas () const
	Getter for the abscissas in the quadrature set.
size_t	n_points () const
	Get total number of abscissas.

Private Member Functions
double	ComputeWeight (const size_t k, const size_t n) override
	Compute the weight for abscissa value k for a n-th order Gauss-Legendre polynomial.

Additional Inherited Members
Protected Member Functions inherited from hummingbird::QuadratureBase< double >
void	CreateWeightMap ()
	Create the weight map.
Protected Attributes inherited from hummingbird::QuadratureBase< double >
std::vector< double >	abscissas_
	Abscissa values.
std::map< unsigned int, double >	weight_map_
	Map to store the weights of the quadrature set where the keys are the indices corresponding to abscissa values.

Detailed Description

Defines a Gauss-Legendre quadrature set on the interval [-1,1].

Definition at line 14 of file gauss_legendre.h.

Constructor & Destructor Documentation

hummingbird::GaussLegendre::GaussLegendre ( const unsigned int n_points )

Construct a new GaussLegendre object.

Parameters

n_points Number of quadrature points to be created

Definition at line 6 of file gauss_legendre.cc.

double hummingbird::GaussLegendre::ComputeWeight	(	const size_t	k,
		const size_t	n )

overrideprivatevirtual

Compute the weight for abscissa value k for a n-th order Gauss-Legendre polynomial.

Parameters

k	Abscissa number
n	Order of Gauss-Legendre polynomial

Definition at line 11 of file gauss_legendre.cc.

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

	hummingbird Solving the self-adjoint angular flux transport equation using spectral elements on Cartesian geometry