Numerical solution of inverse spectral problems for Sturm-Liouville operators with discontinuous potentials

Liubov Efremova; Gerhard Freiling

Open Mathematics (2013)

  • Volume: 11, Issue: 11, page 2044-2051
  • ISSN: 2391-5455

Abstract

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We consider Sturm-Liouville differential operators on a finite interval with discontinuous potentials having one jump. As the main result we obtain a procedure of recovering the location of the discontinuity and the height of the jump. Using our result, we apply a generalized Rundell-Sacks algorithm of Rafler and Böckmann for a more effective reconstruction of the potential and present some numerical examples.

How to cite

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Liubov Efremova, and Gerhard Freiling. "Numerical solution of inverse spectral problems for Sturm-Liouville operators with discontinuous potentials." Open Mathematics 11.11 (2013): 2044-2051. <http://eudml.org/doc/269082>.

@article{LiubovEfremova2013,
abstract = {We consider Sturm-Liouville differential operators on a finite interval with discontinuous potentials having one jump. As the main result we obtain a procedure of recovering the location of the discontinuity and the height of the jump. Using our result, we apply a generalized Rundell-Sacks algorithm of Rafler and Böckmann for a more effective reconstruction of the potential and present some numerical examples.},
author = {Liubov Efremova, Gerhard Freiling},
journal = {Open Mathematics},
keywords = {Sturm-Liouville differential operators; Discontinuous potentials; Inverse spectral problems; Numerical solution; discontinuous potentials; inverse spectral problems; numerical solution},
language = {eng},
number = {11},
pages = {2044-2051},
title = {Numerical solution of inverse spectral problems for Sturm-Liouville operators with discontinuous potentials},
url = {http://eudml.org/doc/269082},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Liubov Efremova
AU - Gerhard Freiling
TI - Numerical solution of inverse spectral problems for Sturm-Liouville operators with discontinuous potentials
JO - Open Mathematics
PY - 2013
VL - 11
IS - 11
SP - 2044
EP - 2051
AB - We consider Sturm-Liouville differential operators on a finite interval with discontinuous potentials having one jump. As the main result we obtain a procedure of recovering the location of the discontinuity and the height of the jump. Using our result, we apply a generalized Rundell-Sacks algorithm of Rafler and Böckmann for a more effective reconstruction of the potential and present some numerical examples.
LA - eng
KW - Sturm-Liouville differential operators; Discontinuous potentials; Inverse spectral problems; Numerical solution; discontinuous potentials; inverse spectral problems; numerical solution
UR - http://eudml.org/doc/269082
ER -

References

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