Small potential corrections for the discrete eigenvalues of the Sturm- Liouville problem

DOI10.1007/BF01386396zbMath0698.65051OpenAlexW2132594769MaRDI QIDQ912578

J. T. Marti

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133434

zbMATH Keywords

numerical examplefinite element methodSturm-Liouville problemtwo-sided boundsinverse eigenvalue problemuniform meshasymptotic correctionlinear hat functions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Inverse problems involving ordinary differential equations (34A55) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items

Enclosing solutions of an inverse Sturm-Liouville problem with finite data ⋮ A finite difference method for an inverse Sturm-Liouville problem in impedance form ⋮ Optimal grid method for the recovery of the potential from two spectra ⋮ Modified Numerov's method for inverse Sturm-Liouville problems ⋮ Descent flow methods for inverse Sturm-Liouville problem ⋮ Finite difference methods for half inverse Sturm-Liouville problems ⋮ Asymptotic correction of Numerov's eigenvalue estimates with natural boundary conditions

Cites Work

• Correction of Numerov's eigenvalue estimates
• Correction of finite element estimates for Sturm-Liouville eigenvalues
• New upper and lower bounds for the eigenvalues of the Sturm-Liouville problem
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