A quasi-extrapolation procedure for error estimation of numerical methods in Sturm--Liouville eigenproblems.

DOI10.1016/S0377-0427(03)00489-8zbMath1046.65066MaRDI QIDQ1426780

G. Gheri, Marco Marlettta, Paolo Ghelardoni

Publication date: 15 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenvaluenumerical examplesSturm-Liouville problemshooting methodquasi-extrapolation method

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) 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)

Related Items (3)

Iterated fast multiscale Galerkin methods for eigen-problems of compact integral operators ⋮ An improved local convergence analysis for Newton-Steffensen-type method ⋮ Richardson extrapolation of iterated discrete projection methods for eigenvalue approximation

Cites Work

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• On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
• On some numerical methods for spectral computations in \(\lambda\)-rational Sturm-Liouville problems
• Numerical solution of a  -rational Sturm-Liouville problem
• A spectral theory for a \(\lambda\)-rational Sturm-Liouville problem
• Spectral corrections for Sturm-Liouville problems

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