#include <deal.II/base/polynomials_integrated_legendre_sz.h>

Inheritance diagram for IntegratedLegendreSZ:

Public Member Functions
	IntegratedLegendreSZ (const unsigned int p)

Public Member Functions inherited from Polynomials::Polynomial< double >
	Polynomial (const std::vector< double > &coefficients)

	Polynomial (const unsigned int n)

	Polynomial (const std::vector< Point< 1 >> &lagrange_support_points, const unsigned int evaluation_point)

	Polynomial ()

double	value (const double x) const

void	value (const double x, std::vector< double > &values) const

void	value (const double x, const unsigned int n_derivatives, double *values) const

unsigned int	degree () const

void	scale (const double factor)

void	shift (const number2 offset)

Polynomial< double >	derivative () const

Polynomial< double >	primitive () const

Polynomial< double > &	operator*= (const double s)

Polynomial< double > &	operator*= (const Polynomial< double > &p)

Polynomial< double > &	operator+= (const Polynomial< double > &p)

Polynomial< double > &	operator-= (const Polynomial< double > &p)

bool	operator== (const Polynomial< double > &p) const

void	print (std::ostream &out) const

void	serialize (Archive &ar, const unsigned int version)

virtual std::size_t	memory_consumption () const

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

	Subscriptor (Subscriptor &&) noexcept

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&) noexcept

void	subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

unsigned int	n_subscriptions () const

template<typename StreamType >
void	list_subscribers (StreamType &stream) const

void	list_subscribers () const

template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Static Public Member Functions
static std::vector< Polynomials::Polynomial< double > >	generate_complete_basis (const unsigned int degree)

Static Public Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)

static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)

Static Private Member Functions
static const std::vector< double >	get_coefficients (const unsigned int k)

Additional Inherited Members
Protected Member Functions inherited from Polynomials::Polynomial< double >
void	transform_into_standard_form ()

Static Protected Member Functions inherited from Polynomials::Polynomial< double >
static void	scale (std::vector< double > &coefficients, const double factor)

static void	shift (std::vector< double > &coefficients, const number2 shift)

static void	multiply (std::vector< double > &coefficients, const double factor)

Protected Attributes inherited from Polynomials::Polynomial< double >
std::vector< double >	coefficients

bool	in_lagrange_product_form

std::vector< double >	lagrange_support_points

double	lagrange_weight

Detailed Description

Class implementing the integrated Legendre polynomials described in the PhD thesis of Sabine Zaglmayr.

This class was written based upon the existing deal.II Legendre class as a base, but with the coefficients adjusted so that the recursive formula is for the integrated Legendre polynomials described in the PhD thesis of Sabine Zaglmayr. The polynomials can be generated recursively from: