A generalization of Numerov's method using the BVM approach for sturm-liouville eigenvalue estimates

Lidia Aceto, Paolo Ghelardoni, Cecilia Magherini

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Abstract

Boundary Value Methods generalizing the Numerov's method are here proposed for the numerical approximation of the eigenvalues of regular Sturm-Liouville problems subject to Dirichlet boundary conditions. Moreover, an analysis of the error in the approximation of the k-th eigenvalue provided by such methods is reported. Some numerical results showing the possible advantages that may arise from the use of the new schemes are also presented.

Lingua originaleInglese
Titolo della pubblicazione ospiteNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2008
Pagine863-866
Numero di pagine4
DOI
Stato di pubblicazionePubblicato - 2008
Pubblicato esternamente
EventoInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2008 - Psalidi, Kos, Greece
Durata: 16 set 200820 set 2008

Serie di pubblicazioni

NomeAIP Conference Proceedings
Volume1048
ISSN (stampa)0094-243X
ISSN (elettronico)1551-7616

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???event.eventtypes.event.conference???International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2008
Paese/TerritorioGreece
CittàPsalidi, Kos
Periodo16/09/0820/09/08

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