Automatic quadrature on Chebyshev points

AbstractAn automatic, non-adaptive, quadrature schema is proposed, based on three different formulas on the same set of points: Clenshaw-Curtis rule, Fejer First rule and Cosine Transformed Romberg rule. Also a non-linear extrapolation schema is taken into consideration to deal with singular integrands.An experimental program using this schema (named QCC) is compared with other well-known routines like CCQUAD, CADRE, QAGS (from QUADPACK) and it results to be favourable for oscillating integrands