GaussianQuadrature Class Reference

Integral of a 1-dimensional function using the Gauss quadratures method. More...

#include <gaussianquadratures.hpp>

Inheritance diagram for GaussianQuadrature:

Collaboration diagram for GaussianQuadrature:

Public Member Functions
	GaussianQuadrature (Size n, const GaussianOrthogonalPolynomial &p)
template<class F >
Real	operator() (const F &f) const
Size	order () const
const Array &	weights ()
const Array &	x ()

Protected Attributes
Array	x_
Array	w_

Detailed Description

Integral of a 1-dimensional function using the Gauss quadratures method.

References: Gauss quadratures and orthogonal polynomials

G.H. Gloub and J.H. Welsch: Calculation of Gauss quadrature rule. Math. Comput. 23 (1986), 221-230

"Numerical Recipes in C", 2nd edition, Press, Teukolsky, Vetterling, Flannery,

Tests:

the correctness of the result is tested by checking it against known good values.

Definition at line 48 of file gaussianquadratures.hpp.

Constructor & Destructor Documentation

GaussianQuadrature()

GaussianQuadrature	(	Size	n,
		const GaussianOrthogonalPolynomial &	p
	)

Definition at line 32 of file gaussianquadratures.cpp.

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Member Function Documentation

operator()()

Real operator()

(

const F &

f

)

const

Definition at line 59 of file gaussianquadratures.hpp.

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order()

Size order

(

)

const

Definition at line 71 of file gaussianquadratures.hpp.

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weights()

const Array & weights

(

)

Definition at line 72 of file gaussianquadratures.hpp.

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x()

const Array & x

(

)

Definition at line 73 of file gaussianquadratures.hpp.

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Member Data Documentation

x_

Array x_

protected

Definition at line 76 of file gaussianquadratures.hpp.

w_

Array w_

protected

Definition at line 76 of file gaussianquadratures.hpp.