Spectrum completion and inverse Sturm–Liouville problems

DOI10.1002/mma.8869arXiv2210.13460OpenAlexW4309492127MaRDI QIDQ6180826

Vladislav V. Kravchenko

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.13460

zbMATH Keywords

Sturm-Liouville probleminverse Sturm-Liouville problemNeumann series of Bessel functionsspectrum completion

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (1)

Reconstruction techniques for complex potentials

Cites Work

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• Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems
• Boundary value method for inverse Sturm-Liouville problems
• Numerical methods for solving inverse Sturm-Liouville problems
• Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions
• A Neumann series of Bessel functions representation for solutions of Sturm-Liouville equations
• Transmutations, singular and fractional differential equations with applications to mathematical physics
• On a method for solving the inverse Sturm-Liouville problem
• Solving symmetric inverse Sturm-Liouville problem using Chebyshev polynomials
• Modified Numerov's method for inverse Sturm-Liouville problems
• On a boundary value method for computing Sturm–Liouville potentials from two spectra
• A least-squares functional for solving inverse Sturm–Liouville problems
• A Newton-type method for solving an inverse Sturm-Liouville problem
• MATSLISE
• An iterative method for the inverse Dirichlet problem
• Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
• The Recovery of Potentials from Finite Spectral Data
• A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations
• Inverse spectral problem for the Sturm Liouville equation
• A practical method for recovering Sturm–Liouville problems from the Weyl function
• Solving inverse Sturm–Liouville problem with separated boundary conditions by using two different input data
• Direct and Inverse Sturm-Liouville Problems
• A transmutation operator method for solving the inverse quantum scattering problem ^*
• A direct method for solving inverse Sturm–Liouville problems*

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