Journal title
CoRR
Volume
abs/2101.09501
Last updated
2024-04-13T13:44:42.443+01:00
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.
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.
Symplectic ID
1187551
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Publication type
Journal Article
Publication date
01 Jan 2021