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Optimized Finite Difference Formulas for Accurate High Frequency Components

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Métodos Numéricos y Aplicacioneses
dc.affiliation.institutoUC3M. Instituto Universitario sobre Modelización y Simulación en Fluidodinámica, Nanociencia y Matemática Industrial Gregorio Millán Barbanyes
dc.contributor.authorKindelan Segura, Manuel
dc.contributor.authorMoscoso, Miguel
dc.contributor.authorGonzález Rodríguez, Pedro
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-03-26T13:14:27Z
dc.date.available2021-03-26T13:14:27Z
dc.date.issued2016-12-14
dc.description.abstractWe 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.en
dc.format.extent15 p.
dc.identifier.bibliographicCitationManuel 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.doihttps://doi.org/10.1155/2016/7860618
dc.identifier.issn1024-123X
dc.identifier.publicationissueArticle ID 7860618
dc.identifier.publicationtitleMathematical Problems in Engineering
dc.identifier.publicationvolume2016
dc.identifier.urihttps://hdl.handle.net/10016/32244
dc.identifier.uxxiAR/0000018762
dc.language.isoeng
dc.publisherHindawi
dc.relation.projectIDGobierno de España. FIS2013-41802-R
dc.rights© 2016 Manuel Kindelan et al.
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/
dc.subject.ecienciaBiologĂ­a y Biomedicinaes
dc.titleOptimized Finite Difference Formulas for Accurate High Frequency Componentsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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