Numerical computation of eigenvalues in spectral gaps of Sturm-Liouville operators

DOI10.1016/j.cam.2005.01.008zbMath1104.65080OpenAlexW2056196261MaRDI QIDQ818202

Paolo Ghelardoni, Lidia Aceto, Marco Marlettta

Publication date: 24 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.01.008

zbMATH Keywords

numerical exampleseigenvalue problemSturm-Liouville operatoressential spectrumspectral gapshooting method

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Numerical solution of boundary value problems involving ordinary differential equations (65L10) 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)

Related Items (7)

Renormalized oscillation theory for singular linear Hamiltonian systems ⋮ Generalised Meissner Equations with an Eigenvalue-inducing Interface ⋮ Numerical computation of eigenvalues in spectral gaps of Schrödinger operators ⋮ Generalized Weyl theorems and spectral pollution in the Galerkin method ⋮ A new approach to spectral approximation ⋮ Boundary value methods as an extension of Numerov's method for Sturm-Liouville eigenvalue estimates ⋮ THE FINITE SECTION METHOD FOR DISSIPATIVE OPERATORS

Cites Work

• Approximations of Sturm-Liouville eigenvalues using boundary value methods
• Critical coupling constants and eigenvalue asymptotics of perturbed periodic Sturm-Liouville operators
• Perturbation theory for linear operators.
• Regular approximations of singular Sturm-Liouville problems
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Perturbation theory for the Schrödinger operator with a periodic potential
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