Numerical methods for solving inverse Sturm-Liouville problems

DOI10.1007/s00025-007-0276-yzbMath1147.65062OpenAlexW1977654453MaRDI QIDQ941105

Mikhail Ignatiev, Vjacheslav Anatoljevich Yurko

Publication date: 4 September 2008

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-007-0276-y

zbMATH Keywords

numerical experimentsdifferential equationsinverse spectral problems

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 (15)

A uniqueness theorem on inverse spectral problems for the Sturm-Liouville differential operators on time scales ⋮ Solving the inverse Sturm-Liouville problem with singular potential and with polynomials in the boundary conditions ⋮ Solving symmetric inverse Sturm-Liouville problem using Chebyshev polynomials ⋮ Uniform stability of recovering Sturm-Liouville-type operators with frozen argument ⋮ Spectrum completion and inverse Sturm–Liouville problems ⋮ Application of machine learning regression models to inverse eigenvalue problems ⋮ Reconstruction techniques for complex potentials ⋮ Numerical solution and stability of the inverse spectral problem for a convolution integro-differential operator ⋮ Numerical solution of inverse spectral problems for Sturm-Liouville operators with discontinuous potentials ⋮ A direct method for solving inverse Sturm–Liouville problems* ⋮ Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument ⋮ Boundary value methods for the reconstruction of Sturm-Liouville potentials ⋮ On a method for solving the inverse Sturm-Liouville problem ⋮ Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator ⋮ Solving inverse Sturm–Liouville problem with separated boundary conditions by using two different input data

This page was built for publication: Numerical methods for solving inverse Sturm-Liouville problems