Publication:
Radial basis function interpolation in the limit of increasingly flat basis functions

Simple item page
dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
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 Ciencia e Innovación (España)es
dc.date.accessioned2023-05-31T11:31:34Z
dc.date.available2023-05-31T11:31:34Z
dc.date.issued2016-02-15
dc.description.abstractWe propose a new approach to study Radial Basis Function (RBF) interpolation in the limit of increasingly flat functions. The new approach is based on the semi-analytical computation of the Laurent series of the inverse of the RBF interpolation matrix described in a previous paper [3]. Once the Laurent series is obtained, it can be used to compute the limiting polynomial interpolant, the optimal shape parameter of the RBFs used for interpolation, and the weights of RBF finite difference formulas, among other things.en
dc.description.sponsorshipThis work has been supported by Spanish MICINN Grants FIS2010-18473, FIS2013-41802-R, CSD2010-00011.en
dc.format.extent18
dc.identifier.bibliographicCitationKindelan, M., Moscoso, M., & González-Rodríguez, P. (2016). Radial basis function interpolation in the limit of increasingly flat basis functions. Journal of Computational Physics, 307, 225-242.en
dc.identifier.doihttps://doi.org/10.1016/j.jcp.2015.12.015
dc.identifier.issn0021-9991
dc.identifier.publicationfirstpage225
dc.identifier.publicationlastpage242
dc.identifier.publicationtitleJournal of Computational Physicsen
dc.identifier.publicationvolume307
dc.identifier.urihttps://hdl.handle.net/10016/37398
dc.identifier.uxxiAR/0000016823
dc.language.isoeng
dc.publisherElsevieren
dc.relation.projectIDGobierno de España. FIS2010-18473es
dc.relation.projectIDGobierno de España. CSD2010-00011es
dc.relation.projectIDGobierno de España. FIS2013-41802-Res
dc.rights© 2015 Elsevier Inc.en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherRadial Basis Functionsen
dc.subject.otherRBF-FDen
dc.subject.otherInterpolationen
dc.titleRadial basis function interpolation in the limit of increasingly flat basis functionsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Radial_JCP_2016_ps.pdf
Size:
1.39 MB
Format:
Adobe Portable Document Format
Download
Collections
DM - MSNMI - Artículos de Revistas
DM - TCBIG - Artículos de Revistas