Publication:
Using local PHS+ poly approximations for Laplace transform inversion by Gaver-Stehfest algorithm

dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Modelización, Simulación Numérica y Matemática Industriales
dc.contributor.authorCampagna, Rosanna
dc.contributor.authorBayona Revilla, Víctor
dc.contributor.authorCuomo, Salvatore
dc.date.accessioned2021-03-01T12:04:22Z
dc.date.available2021-03-01T12:04:22Z
dc.date.issued2020-12
dc.description.abstractThe Laplace transform inversion is a well-known ill-conditioned problem and many numerical schemes in literature have investigated how to solve it. In this paper, we revise the Gaver-Stehfest method by using polyharmonic splines augmented with polynomials to approximate the Laplace transform into the numerical inversion formula. Theoretical accuracy bounds for the fitting model are given. Discussions on the effectiveness of the inversion algorithm are produced and confirmed by numerical experiments about approximation errors and inversion results. Comparisons with an existing model are also presented.en
dc.format.extent10es
dc.identifier.bibliographicCitationDolomites research notes on approximation, vol. 13, 2020, Pp. 55-64en
dc.identifier.doihttps://doi.org/10.14658/PUPJ-DRNA-2020-1-7
dc.identifier.issn2035-6803
dc.identifier.publicationfirstpage55es
dc.identifier.publicationlastpage64es
dc.identifier.publicationtitleDolomites Research Notes on Approximationen
dc.identifier.publicationvolume13es
dc.identifier.urihttps://hdl.handle.net/10016/32062
dc.identifier.uxxiAR/0000026412
dc.language.isoengen
dc.publisherPadova University Pressen
dc.rightsDolomites Research Notes on Approximation is an open access journal that publishes peer-reviewed papers.en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticases
dc.subject.otherNumerical inversionen
dc.subject.otherPolynomialsen
dc.subject.otherLaplace transformsen
dc.titleUsing local PHS+ poly approximations for Laplace transform inversion by Gaver-Stehfest algorithmen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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