pyarts.arts.math.schmidt_legendre_polynomial

math.schmidt_legendre_polynomial(theta: float, nmax: int) → tuple[pyarts.arts.Matrix, pyarts.arts.Matrix]

Computes the Positive Gauss-Legendre quadrature

Parameters:

  • theta (Numeric) – The colatitude in radians

  • nmax (int) – The maximum degree of the polynomial matrix

Returns:

  • Pnm (Matrix) – The Polynominal matrix (nmax+1 x nmax+1; valid the the left of the diagonal only)

  • dPnm (Matrix) – The Polynominal matrix derivative (nmax+1 x nmax+1; valid the the left of the diagonal only)