New Exponential Variable Transform Methods for Functions with Endpoint Singularities

  title={New Exponential Variable Transform Methods for Functions with Endpoint Singularities},
  author={B. Adcock and M. Richardson},
  journal={SIAM J. Numer. Anal.},
  • B. Adcock, M. Richardson
  • Published 2014
  • Computer Science, Mathematics
  • SIAM J. Numer. Anal.
  • The focus of this paper is the approximation of functions which are analytic on a compact interval except at the endpoints. Typical numerical methods for approximating such functions depend upon the use of particular conformal maps from the original interval to either a semi-infinite or an infinite interval, followed by an appropriate approximation procedure on the new region. We first analyze the convergence of these existing methods and show that, in a precisely defined sense, they are… CONTINUE READING
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