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Rapidly Convergent Integrals and Function Evaluation

  • Heba al Kafri
  • David J. Jeffrey
  • Robert M. Corless
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10693)

Abstract

We analyse integrals representing the Lambert W function, paying attention to computations using various rules. Rates of convergence are investigated, with the way in which they vary over the domain of the function being a focus. The first integral evaluates with errors independent of the function variable over a significant range. The second integral converges faster, but the rate varies with the function variable.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Heba al Kafri
    • 1
  • David J. Jeffrey
    • 1
  • Robert M. Corless
    • 1
  1. 1.Department of Applied MathematicsThe University of Western OntarioLondonCanada

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