BIT Numerical Mathematics

, Volume 35, Issue 1, pp 64–82

Some error expansions for Gaussian quadrature

  • D. B. Hunter

DOI: 10.1007/BF01732979

Cite this article as:
Hunter, D.B. Bit Numer Math (1995) 35: 64. doi:10.1007/BF01732979


Complex-variable methods are used to obtain some expansions in the error in Gaussian quadrature formulae over the interval [− 1, 1]. Much of the work is based on an approach due to Stenger, and both circular and elliptical contours are used. Stenger's theorem on monotonicity of convergence of Gaussian quadrature formulae is generalized, and a number of error bounds are obtained.

Key words

Gaussian quadratureerror expansion

Copyright information

© BIT Foundation 1995

Authors and Affiliations

  • D. B. Hunter
    • 1
  1. 1.Department of MathematicsUniverstiy of BradfordBradfordEngland