BIT Numerical Mathematics

, Volume 23, Issue 2, pp 209–216 | Cite as

How and how not to check Gaussian quadrature formulae

  • Walter Gautschi
Part II Numerical Mathematics

Abstract

We discuss characteristic difficulties inherent in the validation of Gaussian quadrature formulae, in particular the futility of moment-related tests. We propose instead more effective tests based on the recursion coefficients of the appropriate orthogonal polynomials and on the sum of the quadrature nodes.

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    Soo-Y. Lee,The inhomogeneous Airy functions Gi(z)and Hi(z), J. Chem. Phys. 72 (1980), 332–336.Google Scholar

Copyright information

© BIT Foundations 1983

Authors and Affiliations

  • Walter Gautschi
    • 1
  1. 1.Department of Computer SciencesPurdue UniversityWest LafayetteUSA

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