Optimized Finite Difference Formulas for Accurate High Frequency Components

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dc.contributor.author Kindelan Segura, Manuel
dc.contributor.author Moscoso Castro, Miguel Ángel
dc.contributor.author González Rodríguez, Pedro
dc.date.accessioned 2021-03-26T13:14:27Z
dc.date.available 2021-03-26T13:14:27Z
dc.date.issued 2016-12-14
dc.identifier.bibliographicCitation Manuel Kindelan, Miguel Moscoso, Pedro Gonzalez-Rodriguez, "Optimized Finite Difference Formulas for Accurate High Frequency Components", Mathematical Problems in Engineering, vol. 2016, Article ID 7860618, 15 pages, 2016
dc.identifier.issn 1024-123X
dc.identifier.uri http://hdl.handle.net/10016/32244
dc.description.abstract We present a method to obtain optimal finite difference formulas which maximize their frequency range of validity. The optimization is based on the idea of keeping an error of interest (dispersion, phase, or group velocities errors) below a given threshold for a wavenumber interval as large as possible. To find the weights of these optimal finite difference formulas we solve a system of nonlinear equations. Furthermore, we give compact formulas for the optimal weights as function of the error bound. Several numerical experiments illustrate the performance of the obtained finite difference formulas compared to the standard ones.
dc.format.extent 15 p.
dc.language.iso eng
dc.publisher Hindawi
dc.rights © 2016 Manuel Kindelan et al.
dc.rights Atribución 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by/3.0/es/
dc.title Optimized Finite Difference Formulas for Accurate High Frequency Components
dc.type article
dc.subject.eciencia Biología y Biomedicina
dc.identifier.doi https://doi.org/10.1155/2016/7860618
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2013-41802-R
dc.type.version publishedVersion
dc.identifier.publicationissue Article ID 7860618
dc.identifier.publicationtitle Mathematical Problems in Engineering
dc.identifier.publicationvolume 2016
dc.identifier.uxxi AR/0000018762
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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