• DOI:10.1137/130920460
Corpus ID: 35800965

New Exponential Variable Transform Methods for Functions with Endpoint Singularities

@article{Adcock2014NewEV,
  title={New Exponential Variable Transform Methods for Functions with Endpoint Singularities},
  author={B. Adcock and M. Richardson},
  journal={SIAM J. Numer. Anal.},
  year={2014},
  volume={52},
  pages={1887-1912}
}

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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