Prüfer method for periodic and semi-periodic sturm-liouville eigenvalue problems∗

DOI10.1080/00207169108803983zbMath0752.65064OpenAlexW2129899071MaRDI QIDQ3989858

Xingzhi Ji, Yau Shu Wong

Publication date: 28 June 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169108803983

zbMATH Keywords

eigenvaluenumerical examplesspectrumNewton iterationeigenfunctionshooting methodperiodicPrüfer transformationsemi-periodicnon-stiff systemSturm-Liouville eigenproblemPrüfer method

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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 (4)

PRÜFER ANALYSIS OF PERIODIC SINGULAR STURM–LIOUVILLE PROBLEM WITH PIECEWISE CHARACTERISTIC ⋮ On the estimations of the small eigenvalues of Sturm-Liouville operators with periodic and antiperiodic boundary conditions ⋮ On the estimations of the small periodic eigenvalues ⋮ On the estimates of periodic eigenvalues of Sturm-Liouville operators with trigonometric polynomial potentials

Cites Work

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• Numerical approximation of eigenvalues of Sturm-Liouville systems
• A slightly modified Prüfer transformation useful for calculating Sturm- Liouville eigenvalues
• Eigenvalues of the Laplacian in Two Dimensions
• Curvilinear Co-ordinate Systems in which the Helmholtz Equation Separates
• Eigenproblems for Matrices Associated with Periodic Boundary Conditions
• Automatic Solution of the Sturm-Liouville Problem

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