Class for 1D Hermite polynomialsCalculates 1D Hermite polynomials and first and second order derivatives on the given coordinates@. More...

#include <Hermite1D.h>

Public Member Functions
void	GetPolynomialValue (unsigned long PolyOrder, double const Coordinates, unsigned long NumCoordinates, double Phi)
	Calculate the 1D Hermite polynomial values on Coordinates for degrees 0 to PolyOrder.
void	Get1stDerivative (unsigned long PolyOrder, double const Coordinates, unsigned long NumCoordinates, double dPhi)
	Calculate the 1D first derivative of the Hermite polynomial values on Coordinates for order 0 to PolyOrder.
void	Get2ndDerivative (unsigned long PolyOrder, double const Coordinates, unsigned long NumCoordinates, double d2Phi)
	Calculate the 1D second derivative of the Hermite polynomial values on Coordinates for order 0 to PolyOrder.

Detailed Description

Class for 1D Hermite polynomialsCalculates 1D Hermite polynomials and first and second order derivatives on the given coordinates@.

Member Function Documentation

void Hermite1D::Get1stDerivative	(	unsigned long	PolyOrder,
		double *const	Coordinates,
		unsigned long	NumCoordinates,
		double *	dPhi
	)

Calculate the 1D first derivative of the Hermite polynomial values on Coordinates for order 0 to PolyOrder.

Parameters:

[in]	PolyOrder	: polynomial order
[in]	Coordinates	: coordinates on which the polynomial values are calculated.
[in]	NumCoordinates	- number of coordinates qhere the polynomials are calculated.
[out]	dPhi	: Matix with the first derivative of the Hermite polynomials for orders 0 to PolyOrder. The rows indicate the polynomial orders and the columns store the values.

void Hermite1D::Get2ndDerivative	(	unsigned long	PolyOrder,
		double *const	Coordinates,
		unsigned long	NumCoordinates,
		double *	d2Phi
	)

Calculate the 1D second derivative of the Hermite polynomial values on Coordinates for order 0 to PolyOrder.

Parameters:

[in]	PolyOrder	: polynomial order
[in]	Coordinates	: coordinates on which the polynomial values are calculated.
[in]	NumCoordinates	- number of coordinates qhere the polynomials are calculated.
[out]	dPhi	: Matix with the second derivative of the Hermite polynomials for orders 0 to PolyOrder. The rows indicate the polynomial orders and the columns store the values.

void Hermite1D::GetPolynomialValue	(	unsigned long	PolyOrder,
		double *const	Coordinates,
		unsigned long	NumCoordinates,
		double *	Phi
	)

Calculate the 1D Hermite polynomial values on Coordinates for degrees 0 to PolyOrder.

Parameters:

[in]	PolyOrder	: polynomial order
[in]	Coordinates	: coordinates on which the polynomial values are calculated.
[in]	NumCoordinates	- number of coordinates where the polynomials are calculated.
[out]	Phi	: Matix with Hermite polynomials for orders 0 to order. The rows indicate the polynomial orders and the columns store the values.

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