Day's implementation of the Pruess method for Sturm-Liouville eigenvalues

DOI10.1016/0898-1221(94)00233-BzbMath0820.65049OpenAlexW2057079801MaRDI QIDQ1346826

D. J. Condon

Publication date: 27 March 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)00233-b

zbMATH Keywords

algorithmnumerical resultseigenvaluesSturm-Liouville problemstwo-sided boundsPruess method

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Day's implementation of the Pruess method for Sturm-Liouville eigenvalues

Uses Software

• SLEDGE

Cites Work

• Unnamed Item
• Bounds and higher-order estimates for Sturm-Liouville eigenvalues
• Leighton's bounds for Sturm-Liouville eigenvalues
• Leighton's bounds for Sturm-Liouville eigenvalues with eigenvalue parameter in the boundary conditions
• Automatic solution of Sturm-Liouville problems using the Pruess method
• High order approximation to Sturm-Liouville eigenvalues
• Day's implementation of the Pruess method for Sturm-Liouville eigenvalues
• More bounds for eigenvalues
• Upper and lower bounds for eigenvalues
• Uniform estimation of the eigenvalues of Sturm–Liouville problems
• Mathematical software for Sturm-Liouville problems
• On the Realization of the Eigenvalues of Integral Equations whose Kernels are Entire or Meromorphic in the Eigenvalue Parameter
• Estimating the Eigenvalues of Sturm–Liouville Problems by Approximating the Differential Equation