Abstract: | A discretized Stieltjes procedure is used to generate Rys polynomials from a three-term recurrence relationship. We show that this process is numerically stable in contrast to the evaluation from the moments of the system and polynomial coefficients, i.e., the Stieltjes procedure, where numerical instabilities arise. Rys quadratures may thus be calculated in an accurate manner from the Rys polynomials generated via this discretized Stieltjes procedure. |