Inverse Sturm-Liouville problems: some recent developments

Authors

  • Alan Andrew

DOI:

https://doi.org/10.21914/anziamj.v52i0.3888

Keywords:

inverse Sturm-Liouville problems, asymptotic correction, eigenvalues

Abstract

We consider numerical methods for obtaining, from spectral data, information on the potentials of Sturm--Liouville operators. In particular, we describe some recent work on methods using an asymptotic correction technique of Paine, de Hoog and Anderssen. Topics covered include a discussion of difficulties arising from the scarcity of accurate data in physical applications, a preview of some work in progress on the Hochstadt--Lieberman problem, and suggestions for future work. References

Published

2011-07-01

Issue

Section

Proceedings Computational Techniques and Applications Conference