# Clenshaw–Curtis

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## 5 matching pages

##### 1: 3.5 Quadrature

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►If we add $-1$ and $1$ to this set of ${x}_{k}$, then the resulting closed formula is the frequently-used

*Clenshaw–Curtis formula*, whose weights are positive and given by … ►For detailed comparisons of the Clenshaw–Curtis formula with Gauss quadrature (§3.5(v)), see Trefethen (2008, 2011). … ►A comparison of several methods, including an extension of the Clenshaw–Curtis formula (§3.5(iv)), is given in Evans and Webster (1999). …##### 2: Bibliography T

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Is Gauss quadrature better than Clenshaw-Curtis?.
SIAM Rev. 50 (1), pp. 67–87.
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##### 3: Bibliography P

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Modified Clenshaw-Curtis method for the computation of Bessel function integrals.
BIT 23 (3), pp. 370–381.
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##### 4: Bibliography W

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Fast construction of the Fejér and Clenshaw-Curtis quadrature rules.
BIT 46 (1), pp. 195–202.
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##### 5: Bibliography C

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A method for numerical integration on an automatic copmputer.
Numer. Math. 2 (4), pp. 197–205.
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