The Recovery of Potentials from Finite Spectral Data

Authors:
  • BLBruce D. Lowe
    Bruce D. Lowe
  • MPMichael Pilant
    Michael Pilant
  • WRWilliam Rundell
    William Rundell

Abstract
The reconstruction of a Sturm–Liouville potential from finite spectral data is considered. A numerical technique based on a shooting method determines a potential with the given spectral data. Convergence of reconstructed potentials is shown and numerical examples are considered.

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