QuantLib
A free/open-source library for quantitative finance
Reference manual - version 1.20
Public Member Functions | Protected Attributes | List of all members
GaussianQuadrature Class Reference

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

#include <ql/math/integrals/gaussianquadratures.hpp>

+ Inheritance 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 Arrayweights ()
 
const Arrayx ()
 

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.