Exactness of quadrature formulas

Author: 

Trefethen, L

Publication Date: 

1 January 2021

Journal: 

CoRR

Last Updated: 

2021-10-19T13:24:21.977+01:00

Volume: 

abs/2101.09501

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.

Symplectic id: 

1187551

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article