Bvms for computing Sturm-Liouville symmetric potentials

DOI10.1016/j.amc.2010.08.036zbMath1204.65092OpenAlexW2031539775MaRDI QIDQ613226

Paolo Ghelardoni, Cecilia Magherini

Publication date: 20 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.036

zbMATH Keywords

stabilityeigenvaluesnumerical experimentsNumerov schemeboundary value methodsinverse Sturm-Liouville problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) 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 (11)

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 ⋮ Optimal grid method for the recovery of the potential from two spectra ⋮ Broyden method for inverse non-symmetric Sturm-Liouville problems ⋮ Modified Numerov's method for inverse Sturm-Liouville problems ⋮ Convergence of Numerov's method for inverse Sturm-Liouville problems ⋮ On a modified Numerov's method for inverse Sturm–Liouville problems ⋮ Boundary value methods for the reconstruction of Sturm-Liouville potentials ⋮ Finite difference methods for half inverse Sturm-Liouville problems ⋮ Inverse Sturm–Liouville problems with pseudospectral methods ⋮ On a boundary value method for computing Sturm–Liouville potentials from two spectra

Uses Software

• MATSLISE

Cites Work

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