Numerische Mathematik

, Volume 47, Issue 1, pp 1–14 | Cite as

Bessel transforms and rational extrapolation

  • John Lund
Article
Received:

Summary

A numerical method is developed which handles the Bessel transform of functions having slow rates of decrease. The method replaces the Bessel transform by a related damped transform for which the sinc quadrature rule provides an efficient and accurate approximation. It is then shown that the value of the original Bessel transform can be obtained from the damped transform by extrapolation with the Thiele algorithm.

Subject Classifications

AMS(MOS): 65D30 65R10 CR: G.1.4 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • John Lund
    • 1
  1. 1.Montana State UniversityBozemanUSA

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