An 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 nonlinear 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 results to be favourable for osci11ating integrands.
Automatic quadrature on Chebyshev points
1987
Abstract
An 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 nonlinear 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 results to be favourable for osci11ating integrands.File in questo prodotto:
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Descrizione: Automatic quadrature on Chebyshev points
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