Chebyshev quadrature for computing the integral \( \int_{-1}^1 \mathrm{dx} \frac{f(x)}{\sqrt{1-x^2}} \). More...

Inheritance diagram for NumA::ChebyshevBIntegrator1D:

Public Member Functions
	ChebyshevBIntegrator1D (unsigned int N=48)

virtual	~ChebyshevBIntegrator1D ()

virtual ChebyshevBIntegrator1D *	clone () const

virtual void	setN (unsigned int n)

Public Member Functions inherited from NumA::QuadratureIntegrator1D
	QuadratureIntegrator1D (unsigned int N=0)
	Constructor. More...

virtual	~QuadratureIntegrator1D ()
	Default destructor. More...

virtual double	integrate (FunctionType1D *pFunction, double a, double b, std::vector< double > &parameters)
	Integration routine. More...

virtual void	configure (const ElemUtils::Parameters &parameters)
	Provides a generic method to configure all types of integrations by passing a Parameters object. More...

unsigned int	getN () const

const std::vector< double > &	getNodes () const

const std::vector< double > &	getWeights () const

Public Member Functions inherited from NumA::Integrator1D
	Integrator1D ()
	Default constructor. More...

virtual	~Integrator1D ()
	Default destructor. More...

const Tolerances &	getTolerances () const

void	setTolerances (const Tolerances &tolerances)

const Errors &	getErrors () const

void	setErrors (const Errors &errors)

Protected Member Functions
	ChebyshevBIntegrator1D (const ChebyshevBIntegrator1D &other)

void	setNodesAndWeights ()

Protected Member Functions inherited from NumA::QuadratureIntegrator1D
	QuadratureIntegrator1D (const QuadratureIntegrator1D &other)
	Copy constructor. More...

Protected Member Functions inherited from NumA::Integrator1D
	Integrator1D (const Integrator1D &other)
	Copy constructor. More...

Additional Inherited Members
Static Public Member Functions inherited from NumA::Integrator1D
template<typename PointerToObj , typename PointerToMemFn >
static Functor1D< PointerToObj, PointerToMemFn > *	newIntegrationFunctor (PointerToObj *object, PointerToMemFn function)
	Use FunctorUtils::newFunctor1D instead. More...

static Integrator1D *	newIntegrator (const IntegratorType1D::Type &oneDimIntegratorType)
	Instantiates an Integrator object. More...

Static Public Attributes inherited from NumA::QuadratureIntegrator1D
static const std::string	PARAM_NAME_N = "numberOfNodes"
	Parameter used in the configure() to set the order of the quadrature. More...

Static Public Attributes inherited from NumA::Integrator1D
static const std::string	PARAM_NAME_ABSOLUTE_TOLERANCE
	Parameter used in the configure() to set the absolute tolerance. More...

static const std::string	PARAM_NAME_RELATIVE_TOLERANCE
	Parameter used in the configure() to set the relative tolerance. More...

Protected Attributes inherited from NumA::QuadratureIntegrator1D
unsigned int	m_N
	Order of the quadrature (number of nodes). More...

std::vector< double >	m_nodes
	Nodes of the quadrature. More...

std::vector< double >	m_weights
	Weights of the quadrature. More...

Protected Attributes inherited from NumA::Integrator1D
Tolerances	m_tolerances
	Absolute and relative tolerances. More...

Errors	m_errors
	Absolute and relative errors estimations. More...

Detailed Description

Chebyshev quadrature for computing the integral \( \int_{-1}^1 \mathrm{dx} \frac{f(x)}{\sqrt{1-x^2}} \).

See Integrator1D documentation for an example.

Constructor & Destructor Documentation

NumA::ChebyshevBIntegrator1D::ChebyshevBIntegrator1D ( unsigned int N = 48 )

NumA::ChebyshevBIntegrator1D::~ChebyshevBIntegrator1D ( )

virtual

NumA::ChebyshevBIntegrator1D::ChebyshevBIntegrator1D ( const ChebyshevBIntegrator1D & other )

protected

ChebyshevBIntegrator1D * NumA::ChebyshevBIntegrator1D::clone ( ) const

virtual

void NumA::ChebyshevBIntegrator1D::setN ( unsigned int n )

virtual

Parameters

n	Order of the quadrature (number of nodes).

void NumA::ChebyshevBIntegrator1D::setNodesAndWeights ( )

protected

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