Chebyshev1

Methods

📄️ Chebyshev1Alpha

Recurrence coeff for Chebyshev1 polynomial.

📄️ Chebyshev1Beta

Recurrence coeff for Chebyshev1 polynomial.

📄️ Chebyshev1DMatrix

Interface

📄️ Chebyshev1Eval

Evaluate Chebyshev1 polynomials of order n at single or several points.

📄️ Chebyshev1EvalAll

Evaluate Chebyshev1 polynomials from order = 0 to n at single or several points.

📄️ Chebyshev1EvalSum

Evaluate the finite sum of Chebyshev1 polynomials at point x.

📄️ Chebyshev1GaussLobattoQuadrature

This routine returns the $n+2$ Quadrature points and weights.

📄️ Chebyshev1GaussQuadrature

This routine computes the n Gauss-Quadrature points.

📄️ Chebyshev1GaussRadauQuadrature

This routine returns the $n+1$ Quadrature points and weights.

📄️ Chebyshev1GradientCoeff

This routine returns the coefficients of gradient of Chebyshev1 expansion.

📄️ Chebyshev1GradientEval

Evaluate gradient of Chebyshev1 polynomials.

📄️ Chebyshev1GradientEvalAll

Evaluate gradient of Chebyshev1 polynomials.

📄️ Chebyshev1GradientEvalSum

Evaluate finite sum of gradient of Chebyshev1 polynomials.

📄️ Chebyshev1InvTransform

Discrete Inverse Chebyshev1 transform.

📄️ Chebyshev1JacobiLobattoMatrix

Chebyshev1 Lobatto matrix for Jacobi polynomial.

📄️ Chebyshev1JacobiMatrix

Chebyshev1 matrix for Jacobi polynomials.

📄️ Chebyshev1JacobiRadauMatrix

Radau matrix for Chebyshev1 polynomials.

📄️ Chebyshev1LeadingCoeff

Leading coefficient of Chebyshev1 polynomials.

📄️ Chebyshev1LeadingCoeffRatio

Ratio of Leading coefficient of Chebyshev1 polynomials.

📄️ Chebyshev1NormSQR

Square norm of Chebyshev1 polynomial.

📄️ Chebyshev1NormSQR2