ChebyshevFirst1D

📄️ Methods

Chebyshev polynomial of first kind is defined. The nth order Chebyshev polynomial is denoted by $T_(x)$. Chebyshev polynomials are orthogonal polynomials.

📄️ ChebyshevFirst1D example 1

This example shows the usage of [[ChebyshevFirst1D_]] class.

📄️ ChebyshevFirst1D example 2

This example shows the usage of [[ChebyshevFirst1D_]] class. It checks the memory leak.

📄️ ChebyshevFirst1D example 3

This example shows the usage of [[ChebyshevFirst1D_]] class. We test Eval in this routine

📄️ ChebyshevFirst1D example 4

This example shows the usage of [[ChebyshevFirst1D_]] class. We test EvalGradient in this routine. the argument of EvalGradient is scalar in this routine.

📄️ ChebyshevFirst1D example 5

This example shows the usage of [[ChebyshevFirst1D_]] class. We test EvalGradient in this routine. the argument of EvalGradient is vector in this routine.

📄️ ChebyshevFirst1D example 6

This example shows the usage of [[ChebyshevFirst1D_]] class. We test Zeros function in this routine, which returns the zeros of Chebyshev1 polynomial.

📄️ ChebyshevFirst1D example 7

This example shows the usage of [[ChebyshevFirst1D_]] class. We test GaussQuadrature function in this routine, which returns the GaussQuadrature points for Chebyshev1 polynomial.

📄️ ChebyshevFirst1D example 8

This example shows the usage of [[ChebyshevFirst1D_]] class. We test GaussRadauQuadrature function in this routine, which returns the GaussRadauQuadrature points for Chebyshev1 polynomial.

📄️ ChebyshevFirst1D example 9

This example shows the usage of [[ChebyshevFirst1D_]] class. We test GaussLobattoQuadrature function in this routine, which returns the Gauss-Lobatto Quadrature points for Chebyshev1 polynomial.