NuTo::Math::Polynomial Namespace Reference

Functions
double	Legendre (int n, double x, int k=0)
	value of the k-th derivative of legendre polynomial More...
std::vector< double >	LegendreRoots (int n)
	roots of legendre polynomial More...
std::vector< double >	LegendreDerivRoots (int n)
	roots of first derivative of legendre polynomial More...

Function Documentation

double NuTo::Math::Polynomial::Legendre	(	int	n,
		double	x,
		int	k = 0
	)

value of the k-th derivative of legendre polynomial

Remarks

this includes the 0-th derivative, the actual legendre polynomial

Parameters

n	polynomial order
x	argument of polynomial
k	derivative order

Returns

value of polynomial at x

std::vector< double > NuTo::Math::Polynomial::LegendreDerivRoots

(

int

n

)

roots of first derivative of legendre polynomial

Parameters

n	polynomial order

Returns

vector of the n-2 roots

std::vector< double > NuTo::Math::Polynomial::LegendreRoots

(

int

n

)

roots of legendre polynomial

Parameters

n	polynomial order

Returns

vector of the n-1 roots