Uniformly accurate Sturm-Liouville eigenvalues

DOI10.1007/BF02320206zbMath0763.65069OpenAlexW1765140139MaRDI QIDQ1184711

Lawrence F. Shampine, G. L. Kraut

Publication date: 28 June 1992

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02320206

zbMATH Keywords

eigenvaluesfinite elementSturm-Liouville problemfinite differenceasymptotic correction

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Asymptotic theory for ordinary differential equations (34E99)

Related Items (1)

The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian

Uses Software

• NAG
• EISPACK
• nag

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
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• Asymptotic eigenvalues of Sturm-Liouville systems
• A modified numerov method for higher sturm-liouville eigenvalues
• Correction of finite difference eigenvalues of periodic Sturm-Liouville problems

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