Boundary value methods for the reconstruction of Sturm-Liouville potentials

DOI10.1016/j.amc.2012.09.021zbMath1309.65088OpenAlexW2064772523MaRDI QIDQ2018982

Cecilia Magherini, Lidia Aceto, Paolo Ghelardoni

Publication date: 26 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.09.021

zbMATH Keywords

eigenvaluesboundary value methodsinverse Sturm-Liouville problems

Mathematics Subject Classification ID

Inverse problems involving ordinary differential equations (34A55) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

On the factorization and the inverse of a tridiagonal matrix, Unnamed Item, A finite difference method for an inverse Sturm-Liouville problem in impedance form, Solving symmetric inverse Sturm-Liouville problem using Chebyshev polynomials, Optimal grid method for the recovery of the potential from two spectra, An explicit formula for the inverse of a pentadiagonal Toeplitz matrix, Convergence of Numerov's method for inverse Sturm-Liouville problems, On a modified Numerov's method for inverse Sturm–Liouville problems, An inverse spectral problem for a fourth-order Sturm-Liouville operator based on trace formulae, Inverse Sturm–Liouville problems with pseudospectral methods, On a boundary value method for computing Sturm–Liouville potentials from two spectra, Numerical algorithms for inverse Sturm-Liouville problems, Solving inverse Sturm–Liouville problem with separated boundary conditions by using two different input data

Uses Software

• MATSLISE

Cites Work

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