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

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publicationNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2008
Pages863-866
Number of pages4
DOIs
Publication statusPublished - 2008
Externally publishedYes
EventInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2008 - Psalidi, Kos, Greece
Duration: 16 Sept 200820 Sept 2008

Publication series

NameAIP Conference Proceedings
Volume1048
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2008
Country/TerritoryGreece
CityPsalidi, Kos
Period16/09/0820/09/08

Keywords

  • Boundary Value Methods
  • Eigenvalues
  • Sturm-Liouville problems

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