Leighton's bounds for Sturm-Liouville eigenvalues

DOI10.1016/0022-247X(81)90242-0zbMath0477.65063OpenAlexW2076229781MaRDI QIDQ1161044

Frank R. de Hoog, Alan L. Andrew, Peter J. Robb

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(81)90242-0

zbMATH Keywords

second order convergencecorrected algorithmtwo-sided bounds Sturm-Liouville problem

Mathematics Subject Classification ID

Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items

Day's implementation of the Pruess method for Sturm-Liouville eigenvalues ⋮ Discrete least-squares technique for eigenvalues. I: The one-dimensional case ⋮ Leighton's bounds for Sturm-Liouville eigenvalues with eigenvalue parameter in the boundary conditions ⋮ Bounds and higher-order estimates for Sturm-Liouville eigenvalues

Cites Work

• Unnamed Item
• More bounds for eigenvalues
• Upper and lower bounds for eigenvalues
• Uniform estimation of the eigenvalues of Sturm–Liouville problems