Sampling eigenvalues by Hermite revisited

H. Al Attas; A. Boumenir

doi:10.1080/00207160.2019.1618847

Sampling eigenvalues by Hermite revisited

H. Al Attas, A. Boumenir^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show how the Hermite sampling method can be used to approximate the eigenvalues of Sturm-Liouville problems. Because it involves the derivatives with respect to the eigenvalue parameter, it requires more smoothness on the coefficients and integrating a one parameter family of matrix Sturm-Liouville operators to generate the required samples.

Original language	English
Pages (from-to)	1380-1390
Number of pages	11
Journal	International Journal of Computer Mathematics
Volume	97
Issue number	7
DOIs	https://doi.org/10.1080/00207160.2019.1618847
State	Published - 2 Jul 2020

Bibliographical note

Publisher Copyright:
© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Eigenvalues of Sturm Liouville
Hermite interpolation
Shannon sampling theorem
computational spectral theory
matrix Sturm Liouville

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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10.1080/00207160.2019.1618847

Cite this

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abstract = "We show how the Hermite sampling method can be used to approximate the eigenvalues of Sturm-Liouville problems. Because it involves the derivatives with respect to the eigenvalue parameter, it requires more smoothness on the coefficients and integrating a one parameter family of matrix Sturm-Liouville operators to generate the required samples.",

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Sampling eigenvalues by Hermite revisited

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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