Numerical reconstruction in a three-spectra inverse Sturm–Liouville problem with mixed boundary conditions

DOI10.1080/17415977.2013.764603zbMath1300.65051OpenAlexW2093042030MaRDI QIDQ2929923

Mihaela-Cristina Drignei

Publication date: 17 November 2014

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2013.764603

zbMATH Keywords

mixed boundary conditionsspectrainverse Sturm-Liouville problemGoursat boundary value problemGelfand-Levitan-Marchenko kernel

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (6)

An inverse three spectra problem for Sturm-Liouville operators ⋮ A Newton-type method for solving an inverse Sturm-Liouville problem ⋮ Numerical Reconstruction of Potentials Based on a Sequence of Inverse Sturm–Liouville Problems ⋮ On three spectra problem and Ambarzumian's theorem ⋮ Uncertainty Analysis for Functional Computer Output: A Simulation Study in Inverse Problems ⋮ On solvability of three spectra problem

Cites Work

• An inverse Sturm-Liouville problem by three spectra
• One Can Hear the Composition of a String: Experiments with an Inverse Eigenvalue Problem
• The inverse Sturm–Liouville problem III
• Constructibility of an L^2_{{\bb R}}(0\hbox{, }a) solution to an inverse Sturm–Liouville problem using three Dirichlet spectra
• The inverse three-spectral problem for a Stieltjes string and the inverse problem with one-dimensional damping

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