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

• Autorzy: Liubov Efremova , Gerhard Freiling
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Sturm-Liouville differential operators; Discontinuous potentials; Inverse spectral problems; Numerical solution

Kategorie tematyczne

• 65D18: Computer graphics, image analysis, and computational geometry
• 34A55: Inverse problems
• 31A25: Boundary value and inverse problems
• 47E05: Ordinary differential operators (should also be assigned at least one other classification number in section 47)
• 34L05: General spectral theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 11
• Strony: 2044-2051

Daty

wydano

2013-11-01

online

2013-08-23

Twórcy

autor

Liubov Efremova

• Saratov State University

autor

Gerhard Freiling

• Universität Duisburg-Essen

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0301-1