Error estimation for quadrature formulas based on equally spaced nodes
DOI: https://doi.org/10.3846/13926292.2006.9637320Abstract
The error estimation for quadrature formulas based on equally spaced nodes is discussed in this paper. The error estimates use embedded formulas and they are obtained for Newton‐Cotes and Hermitian quadrature formulas. The coefficients of these formulas and error estimates are presented. The locally adaptive integration procedures implementing the truncation error estimation method proposed in this paper were developed in MATLAB and results of appropriate comparative tests are presented.
First Published Online: 14 Oct 2010
Keywords:
numerical integration, quadrature formula, error estimate, locally adaptive procedureHow to Cite
Share
License
Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
View article in other formats
CrossMark check
Published
Issue
Section
Copyright
Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.