Efficient computation of the Prüfer phase function for determining eigenvalues of Sturm-Liouville systems

DOI10.1016/0021-9991(86)90009-4zbMath0614.65095OpenAlexW2036464106MaRDI QIDQ1819908

Petri Pajunen, Juha Tienari

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90009-4

zbMATH Keywords

phase integral approximationPrüfer phase functionSturm-Liouville eigenvalues

Mathematics Subject Classification ID

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

Related Items (3)

An optimized quadrature scheme for evaluating general higher-order phase integrals ⋮ A new multi-purpose software package for Schrödinger and Sturm-Liouville computations ⋮ Complex Prüfer phase function with applications to scattering

Cites Work

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• Computational procedure for Sturm-Liouville problems
• Eigenvalue correction estimates for the one-dimensional Schrödinger equation
• An automatic error-control technique for computation of eigenlengths
• A new method for solving eigenvalue problems
• Solution of two-point boundary-value problems with Jacobian matrix characterized by large positive eigenvalues
• Numerical approximation of eigenvalues of Sturm-Liouville systems
• A slightly modified Prüfer transformation useful for calculating Sturm- Liouville eigenvalues
• A direct method for modifying certain phase-integral approximations of arbitrary order
• Asymptotic eigenvalues of Sturm-Liouville systems
• A modification of the variable phase method for optimum numerical calculation of phase shifts
• The multichannel log-derivative method for scattering calculations
• Asymptotic estimates for the Sturm-Liouville spectrum
• Two classes of special functions for the phase-integral approximation
• Automatic Solution of the Sturm-Liouville Problem
• Sturm-Liouville Eigenvalues via a Phase Function
• Computation of Eigenvalues of Singular Sturm-Liouville Systems
• An Iterative Method for the Solution of Eigenvalue Problems
• Pade Approximation to the Solution of the Ricatti Equation
• Continued fraction solutions of the Riccati equation

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