Use the Gauss-Legendre formula to perform integration. More...

Public Member Functions
double	Integrate (double(*f)(double), double a, double b, int n=3)

Detailed Description

Use the Gauss-Legendre formula to perform integration.

Numerical integration (Gauss-Legendre formula). Integrates function f(x) from x=a to x=b in n points.

Definition at line 39 of file itkFEMUtility.h.

Member Function Documentation

double itk::fem::GaussIntegrate::Integrate	(	double(*)(double)	f,
		double	a,
		double	b,
		int	n = `3`
	)

Numerical integration (Gauss-Legendre formula). Integrates function f(x) from x=a to x=b in n points.

This subprogram produces the gauss-legendre numerical integral for

b int f(x)*dx a

The number of nodes n must satisfy 2 <= n <= 20 The following data statements contain the gauss-legendre nodes for the interval [-1,1].

Definition at line 32 of file itkFEMUtility.cxx.

References one, two, w, z, and zero.

const double itk::fem::GaussIntegrate::one = 1.0

static

Definition at line 42 of file itkFEMUtility.h.

Referenced by Integrate().

const double itk::fem::GaussIntegrate::two = 2.0

static

Definition at line 43 of file itkFEMUtility.h.

Referenced by Integrate().

const double itk::fem::GaussIntegrate::w

static

Definition at line 45 of file itkFEMUtility.h.

Referenced by Integrate().

const double itk::fem::GaussIntegrate::z

static

Definition at line 44 of file itkFEMUtility.h.

Referenced by Integrate().

const double itk::fem::GaussIntegrate::zero = 0.0

static

Definition at line 41 of file itkFEMUtility.h.

Referenced by Integrate().

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