The recovery of even polynomial potentials

DOI10.1016/j.amc.2009.09.037zbMath1180.65088OpenAlexW1980320710MaRDI QIDQ1049300

Amin Boumenir

Publication date: 8 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.09.037

zbMATH Keywords

numerical examplesinverse spectral probleminverse eigenvalue probleminverse Sturm-Liouville

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 (1)

On some polynomial potentials in d-dimensions

Cites Work

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• Method of spectral mappings in the inverse problem theory
• Reconstruction of potentials in the Sturm-Liouville inverse problem by the variational method
• Asymptotic correction of more Sturm-Liouville eigenvalue estimates.
• Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data
• Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
• Half-inverse spectral problems for Sturm–Liouville operators with singular potentials
• Numerov's method for inverse Sturm–Liouville problems
• The recovery of analytic potentials
• Some questions in the theory of one-dimensional linear differential operators of the second order. I
• An introduction to the mathematical theory of inverse problems

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