Boundary value method for inverse Sturm-Liouville problems

DOI10.1016/j.amc.2009.04.002zbMath1170.65064OpenAlexW1964040568MaRDI QIDQ833121

Christine Böckmann, Athassawat Kammanee

Publication date: 12 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.002

zbMATH Keywords

numerical resultseigenvaluesNewton methodlinear multistep methodsymmetric potentialboundary value methodnon-symmetric potentialasymptotic correctioninverse Sturm-Liouville methodNeumann-Neumann boundary conditions

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) 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 (19)

Bvms for computing Sturm-Liouville symmetric potentials ⋮ Boundary Inverse Problem for Star-Shaped Graph with Different Densities Strings-Edges ⋮ Solving Sturm-Liouville inverse problems by an orthogonalized enhanced boundary function method and a product formula for symmetric potential ⋮ Solving symmetric inverse Sturm-Liouville problem using Chebyshev polynomials ⋮ Spectrum completion and inverse Sturm–Liouville problems ⋮ Optimal grid method for the recovery of the potential from two spectra ⋮ Reconstruction techniques for complex potentials ⋮ Broyden method for inverse non-symmetric Sturm-Liouville problems ⋮ Matrix methods for computing eigenvalues of Sturm-Liouville problems of order four ⋮ Modified Numerov's method for inverse Sturm-Liouville problems ⋮ Convergence of Numerov's method for inverse Sturm-Liouville problems ⋮ A direct method for solving 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 ⋮ On a method for solving the inverse Sturm-Liouville problem ⋮ Inverse Sturm–Liouville problems with pseudospectral methods ⋮ On a boundary value method for computing Sturm–Liouville potentials from two spectra ⋮ Solving inverse Sturm–Liouville problem with separated boundary conditions by using two different input data

Uses Software

• MATSLISE

Cites Work

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• MATSLISE
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