Numerical algorithms for inverse Sturm-Liouville problems

DOI10.1007/S11075-021-01153-2zbMath1485.65083OpenAlexW3182831946MaRDI QIDQ2116056

Xiang Xu, Xiaoying Jiang, Xiao Wen Li

Publication date: 16 March 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01153-2

zbMATH Keywords

inverse spectral problemstrace formulasreconstruction algorithms

Mathematics Subject Classification ID

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 (1)

Numerical estimation of the inverse eigenvalue problem for a weighted Helmholtz equation

Cites Work

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• Finite difference methods for half inverse Sturm-Liouville problems
• A finite difference method for an inverse Sturm-Liouville problem in impedance form
• The inverse Sturm-Liouville problem with symmetric potentials
• An inverse spectral problem for a fourth-order Sturm-Liouville operator based on trace formulae
• Boundary value methods for the reconstruction of Sturm-Liouville potentials
• Matrix methods for computing eigenvalues of Sturm-Liouville problems of order four
• Determination of partially known Sturm-Liouville potentials
• Computing Sturm–Liouville potentials from two spectra
• Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data
• Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
• The Recovery of Potentials from Finite Spectral Data
• An Inverse Eigenvalue Problem of Order Four—An Infinite Case
• A finite-difference algorithm for an inverse Sturm-Liouville problem
• An Introduction to Inverse Scattering and Inverse Spectral Problems
• An inverse spectral problem for the Euler - Bernoulli equation for the vibrating beam
• On the Realization of the Wolfe Conditions in Reduced Quasi-Newton Methods for Equality Constrained Optimization
• Numerov's method for inverse Sturm–Liouville problems
• Iterative solution of the inverse Sturm-Liouville problem
• Inverse problems in quantifying mechanical properties in nanomaterials
• Reconstruction method for inverse Sturm–Liouville problems with discontinuous potentials
• Can One Hear the Shape of a Drum?

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