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.
@article{bwmeta1.element.doi-10_2478_s11533-013-0301-1,
author = {Liubov Efremova and Gerhard Freiling},
title = {Numerical solution of inverse spectral problems for Sturm-Liouville operators with discontinuous potentials},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {2044-2051},
zbl = {1285.31002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0301-1}
}
Liubov Efremova; Gerhard Freiling. Numerical solution of inverse spectral problems for Sturm-Liouville operators with discontinuous potentials. Open Mathematics, Tome 11 (2013) pp. 2044-2051. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0301-1/
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