cheb_dictmat Subroutine

public subroutine cheb_dictmat(n, mat)

Calculates the discrete inverse Chebyshev transform matrix. The matrix is not symmetric and yields the nodal function values assuming the nodal coordinates are in ascending order.

Reference

  1. Canuto et al. (2006), 'Spectral Methods: Fundamentals in Single Domains', Chapter 2, pp. 86, eqn. (2.4.15)

  2. Gheorghiu, C. I. (2007), 'Spectral Methods for Differential Problems', Casa Cartii de Stiinta, Cluj-Napoca, ISBN 978-973-133-099-0 pp. 18, eqn. (1.40, 1.41)

Arguments

Type IntentOptional Attributes Name
integer, intent(in) :: n

Degree of polynomial
real(kind=rp), intent(out), dimension(:,:) :: mat

(n+1,n+1). Inverse transform matrix.