ASYMPTOTIC FORMULAS FOR DISCRETE EIGENVALUE PROBLEMS IN LIOUVILLE NORMAL FORM
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Publication:4798849
DOI10.1142/S0218202501000738zbMath1020.34078OpenAlexW2094006358MaRDI QIDQ4798849
Frank R. de Hoog, Robert S. Anderssen
Publication date: 16 March 2003
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202501000738
eigenvaluesdiscontinuous coefficientseigenfunctionsSturm-Liouville problemsasymptotic formulasinverse eigenvalue problemsBackus-Gilbert conjectureLiouville normal formsuniformly approximations
Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Difference equations (39A99)
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Cites Work
- Correction of Numerov's eigenvalue estimates
- On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems with general boundary conditions
- Correction of finite element estimates for Sturm-Liouville eigenvalues
- Correction of finite element eigenvalues for problems with natural or periodic boundary conditions
- On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
- High order approximation to Sturm-Liouville eigenvalues
- Asymptotic eigenvalues of Sturm-Liouville systems
- Uniform estimation of the eigenvalues of Sturm–Liouville problems
- Correction of finite difference eigenvalues of periodic Sturm-Liouville problems
