Convergence Properties of Gaussian Quadrature Formulae
Open Access
- 1 January 1961
- journal article
- research article
- Published by Oxford University Press (OUP) in The Computer Journal
- Vol. 3 (4) , 272-277
- https://doi.org/10.1093/comjnl/3.4.272
Abstract
An expression is found for the remainder of any Gaussian quadrature formula as a contour integral, and is then used to obtain estimates of the error in certain cases. Numerical examples are given comparing the actual and estimated errors. A method of constructing more general quadrature formulae is described, and two examples are given of formulae so constructed.Keywords
This publication has 0 references indexed in Scilit: