A unified framework for the computation of polynomial quadrature weights and errors
Numerical Analysis
2012-04-02 v2
Abstract
For the class of polynomial quadrature rules we show that conveniently chosen bases allow to compute both the weights and the theoretical error expression of a -point rule via the undetermined coefficients method. As an illustration, the framework is applied to some classical rules such as Newton-Cotes, Adams-Bashforth, Adams-Moulton and Gaussian rules.
Keywords
Cite
@article{arxiv.1203.4795,
title = {A unified framework for the computation of polynomial quadrature weights and errors},
author = {Mário M. Graça and M. Esmeralda Sousa-Dias},
journal= {arXiv preprint arXiv:1203.4795},
year = {2012}
}
Comments
Minor misprints corrected