A Numerical Method for the Inverse Sturm–Liouville Problem
From MaRDI portal
Publication:3321379
DOI10.1137/0905011zbMath0536.65067OpenAlexW1977430294MaRDI QIDQ3321379
Publication date: 1984
Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0905011
inverse eigenvalue problemcorrection techniquesymmetric potentialinverse Sturm-Liouville problemNumerov's methodfinite difference matrix
Inverse problems involving ordinary differential equations (34A55) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)
Related Items
Reconstruction of the residual stresses in a hyperelastic body using ultrasound techniques, Reconstruction of the potential of the Sturm-Liouville operator from a finite set of eigenvalues and normalizing constants, Correction of finite element eigenvalues for problems with natural or periodic boundary conditions, Bvms for computing Sturm-Liouville symmetric potentials, A finite difference method for an inverse Sturm-Liouville problem in impedance form, Solving Sturm-Liouville inverse problems by an orthogonalized enhanced boundary function method and a product formula for symmetric potential, Solving an inverse eigenvalue problem with triple constraints on eigenvalues, singular values, and diagonal elements, Optimal grid method for the recovery of the potential from two spectra, Modified Numerov's method for inverse Sturm-Liouville problems, Convergence of Numerov's method for inverse Sturm-Liouville problems, Spectral Confonning Model and Its Application, On a modified Numerov's method for inverse Sturm–Liouville problems, Solving inverse eigenvalue problems via Householder and rank-one matrices, Descent flow methods for inverse Sturm-Liouville problem, Computing eigenvalues of periodic sturm-liouville problems using shooting technique and direct integration method, Improvement of eigenvalues of Sturm-Liouville problem with \(t\)-periodic boundary conditions, On the inverse resonance problem for Schrödinger operators, Finite difference methods for half inverse Sturm-Liouville problems, Optimization problems on the rank of the solution to left and right inverse eigenvalue problem, Determination of partially known Sturm-Liouville potentials, An inverse Sturm-Liouville problem for an impedance, Correction of Numerov's eigenvalue estimates, The numerically stable reconstruction of Jacobi matrices from spectral data, Solving a nonlinear inverse Sturm–Liouville problem with nonlinear convective term using a boundary functional method, Asymptotic correction of Numerov's eigenvalue estimates with natural boundary conditions, On a boundary value method for computing Sturm–Liouville potentials from two spectra, Correction of finite element estimates for Sturm-Liouville eigenvalues
