Chebyshev Namespace Reference

Evaluation of Chebyshev polynomials. More...

Functions
Real	evalPol1 (int polnum, Real xi)
	Evaluates a 1D Chebyshev polynomial of first kind. More...
Real	evalPol2 (int polnum, Real xi)
	Evaluates a 1D Chebyshev polynomial of second kind. More...
Real	evalDer1 (int polnum, Real xi)
	Evaluates the first derivative of a 1D Chebyshev polynomial of first kind. More...
Real	evalDer2 (int polnum, Real xi)
	Evaluates the first derivative of a 1D Chebyshev polynomial of second kind. More...
Real	eval2Der1 (int polnum, Real xi)
	Evaluates the second derivative of a 1D Chebyshev polynomial of first kind. More...

Detailed Description

Evaluation of Chebyshev polynomials.

Function Documentation

eval2Der1()

Real Chebyshev::eval2Der1	(	int	polnum,
		Real	xi
	)

Evaluates the second derivative of a 1D Chebyshev polynomial of first kind.

Parameters

[in]	polnum	Which polynomial of the basis to evaluate
[in]	xi	Natural coordinate of the evaluation point

References evalPol1(), and evalPol2().

Referenced by ChebyshevFunc::dderiv().

evalDer1()

Real Chebyshev::evalDer1	(	int	polnum,
		Real	xi
	)

Evaluates the first derivative of a 1D Chebyshev polynomial of first kind.

Parameters

[in]	polnum	Which polynomial of the basis to evaluate
[in]	xi	Natural coordinate of the evaluation point

References evalPol2().

Referenced by ChebyshevFunc::dderiv(), and ChebyshevFunc::deriv().

evalDer2()

Real Chebyshev::evalDer2	(	int	polnum,
		Real	xi
	)

Evaluates the first derivative of a 1D Chebyshev polynomial of second kind.

Parameters

[in]	polnum	Which polynomial of the basis to evaluate
[in]	xi	Natural coordinate of the evaluation point

References evalPol1(), and evalPol2().

evalPol1()

Real Chebyshev::evalPol1	(	int	polnum,
		Real	xi
	)

Evaluates a 1D Chebyshev polynomial of first kind.

Parameters

[in]	polnum	Which polynomial of the basis to evaluate
[in]	xi	Natural coordinate of the evaluation point

Referenced by ChebyshevFunc::dderiv(), ChebyshevFunc::deriv(), eval2Der1(), evalDer2(), and ChebyshevFunc::evaluate().

evalPol2()

Real Chebyshev::evalPol2	(	int	polnum,
		Real	xi
	)

Evaluates a 1D Chebyshev polynomial of second kind.

Parameters

[in]	polnum	Which polynomial of the basis to evaluate
[in]	xi	Natural coordinate of the evaluation point

Referenced by eval2Der1(), evalDer1(), and evalDer2().