Abstract
Gauss quadrature rules associated with a nonnegative measure with support on (part of) the real axis find many applications in Scientific Computing. It is important to be able to estimate the quadrature error when replacing an integral by an ℓ-node Gauss quadrature rule in order to choose a suitable number of nodes. A classical approach to estimate this error is to evaluate the associated (2ℓ+1)-node Gauss–Kronrod rule. However, Gauss–Kronrod rules with 2ℓ+1 real nodes might not exist. The (2ℓ+1)-node generalized averaged Gauss formula associated with the ℓ-node Gauss rule described in Spalević (2007) [16] is guaranteed to exist and provides an attractive alternative to the (2ℓ+1)-node Gauss–Kronrod rule. This paper describes a new representation of generalized averaged Gauss formulas that is cheaper to evaluate than the available representation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
