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Error estimation for quadrature formulas based on equally spaced nodes

    K. Plukas Affiliation
    ; D. Plukiene Affiliation

Abstract

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

Keyword : numerical integration, quadrature formula, error estimate, locally adaptive procedure

How to Cite
Plukas, K., & Plukiene, D. (2006). Error estimation for quadrature formulas based on equally spaced nodes. Mathematical Modelling and Analysis, 11(3), 315-330. https://doi.org/10.3846/13926292.2006.9637320
Published in Issue
Sep 30, 2006
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