arXiv:2101.09501 Abstract | arXiv Analytics

arXiv:2101.09501 [math.NA]Abstract References Reviews Resources

Exactness of quadrature formulas

Published 2021-01-23Version 1

The standard design principle for quadrature formulas is that they should be exact for integrands of a given class, such as polynomials of a fixed degree. We show how this principle fails to predict the actual behavior in four cases: Newton-Cotes, Clenshaw-Curtis, Gauss-Legendre, and Gauss-Hermite quadrature. Three further examples are mentioned more briefly.

Categories: math.NA, cs.NA

Subjects: 41A55, 65D32

Keywords: quadrature formulas, standard design principle, gauss-hermite quadrature, principle fails, actual behavior

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