High-accuracy finite-element method for the Sturm-Liouville problem

DOI10.1023/B:CASA.0000028093.06430.B7zbMath1071.65116OpenAlexW2051090133MaRDI QIDQ557459

M. V. Loseva, Viktor G. Prikazchikov

Publication date: 30 June 2005

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:casa.0000028093.06430.b7

zbMATH Keywords

eigenvaluedifference schemeSturm-Liouville problemeigenvalue problemsfinite-element methodasymptotic error boundcoordinate functions

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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Two very accurate and efficient methods for computing eigenvalues of Sturm-Liouville problems

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