Exactness of quadrature formulas
Numerical Analysis
2021-01-26 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2101.09501,
title = {Exactness of quadrature formulas},
author = {Lloyd N. Trefethen},
journal= {arXiv preprint arXiv:2101.09501},
year = {2021}
}