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Dynamical Inverse Problems: Theory and Application pp 63–83Cite as

A Least Squares Functional for Solving Inverse Sturm-Liouville Problems

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Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 529))

Abstract

We present a method to numerically solve the Sturm-Liouville inverse problem using least squares following (Röhrl, 2005, 2006). We show its merits by computing potential and boundary conditions from two sequences of spectral data in several examples. Finally we prove theorems which show why this approach works particularly well.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Physics, University of Stuttgart, Stuttgart, Germany

    Norbert Röhrl

Authors
  1. Norbert Röhrl
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Editor information

Editors and Affiliations

  1. University of Waterloo, Ontario, Canada

    Graham M. L. Gladwell

  2. University of Udine, Italy

    Antonino Morassi

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Röhrl, N. (2011). A Least Squares Functional for Solving Inverse Sturm-Liouville Problems. In: Gladwell, G.M.L., Morassi, A. (eds) Dynamical Inverse Problems: Theory and Application. CISM International Centre for Mechanical Sciences, vol 529. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0696-9_3

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  • DOI: https://doi.org/10.1007/978-3-7091-0696-9_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-0695-2

  • Online ISBN: 978-3-7091-0696-9

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