Numerical solution of inverse spectral problems for Sturm-Liouville operators with discontinuous potentials
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AbstractWe 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.
2021 ◽
Vol 14
(2)
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pp. 52-63
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2014 ◽
Vol 14
(3)
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pp. 273-279
2006 ◽
Vol 49
(2)
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pp. 309-329
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2013 ◽
Vol 26
(12)
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pp. 1175-1181
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2017 ◽
Vol 26
(10)
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pp. 1396-1403
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2005 ◽
Vol 222
(1)
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pp. 143-177
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