Numerical solution of the inverse spectral problem for Bessel operators

DOI10.1016/j.cam.2010.05.018zbMath1209.65081OpenAlexW2034067328MaRDI QIDQ711235

Rostyslav O. Hryniv, Paul E. Sacks

Publication date: 25 October 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.05.018

zbMATH Keywords

numerical examplesinverse spectral problemSturm-Liouville equationBessel equation

Mathematics Subject Classification ID

Inverse problems involving ordinary differential equations (34A55) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items

Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints ⋮ Modified Numerov's method for inverse Sturm-Liouville problems ⋮ Unnamed Item ⋮ Inverse spectral problems for Bessel operators with interior transmission conditions

Uses Software

• MATSLISE

Cites Work

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• A Borg-Levinson theorem for Bessel operators
• Inverse spectral problems for Bessel operators
• MATSLISE
• The Inverse Problem in the Quantum Theory of Scattering
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• On the double commutation method
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• INVERSE SPECTRAL PROBLEMS FOR STURM–LIOUVILLE OPERATORS WITH SINGULAR POTENTIALS. IV. POTENTIALS IN THE SOBOLEV SPACE SCALE