Abstract
This paper is concerned with estimating the Gaussian quadrature error in the numerical integration of an analytic function ⨍(x) over the interval−1< x<1. An approximate expression for the quadrature error is given in terms of a contour integral in the complex plane. Known techniques can be applied directly to this contour integral to obtain quadrature error estimates. This approach has the advantage of avoiding the computation of high order derivatives as required in classical Gaussian quadrature error representations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.