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dc.creatorLópez García, José Luises_ES
dc.creatorPagola Martínez, Pedro Jesúses_ES
dc.date.accessioned2018-12-14T12:04:13Z
dc.date.available2018-12-14T12:04:13Z
dc.date.issued2016
dc.identifier.issn0096-3003
dc.identifier.urihttps://hdl.handle.net/2454/31771
dc.description.abstractWe consider the Pearcey integral P(x, y) for large values of |y| and bounded values of |x|. The integrand of the Pearcey integral oscillates wildly in this region and the asymptotic saddle point analysis is complicated. Then we consider here the modified saddle point method introduced in [Lopez, Pérez and Pagola, 2009] [4]. With this method, the analysis is simpler and it is possible to derive a complete asymptotic expansion of P(x, y) for large |y|. The asymptotic analysis requires the study of three different regions for separately. In the three regions, the expansion is given in terms of inverse powers of y2/3 and the coefficients are elementary functions of x. The accuracy of the approximation is illustrated with some numerical experiments.en
dc.description.sponsorshipThe Universidad Pública de Navarra is acknowledged by its financial support.en
dc.format.extent7 p.
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevieren
dc.relation.ispartofApplied Mathematics and Computation 275 (2016) 404–410en
dc.rights© 2015 Elsevier Inc. The manuscript version is made available under the CC BY-NC-ND 4.0 license.en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectPearcey integralen
dc.subjectAsymptotic expansionsen
dc.subjectModified saddle point methoden
dc.titleThe Pearcey integral in the highly oscillatory regionen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentIngeniería Matemática e Informáticaes_ES
dc.contributor.departmentMatematika eta Informatika Ingeniaritzaeu
dc.contributor.departmentInstitute for Advanced Materials and Mathematics - INAMAT2es_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.identifier.doi10.1016/j.amc.2015.11.080
dc.relation.publisherversionhttps://doi.org/10.1016/j.amc.2015.11.080
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.type.versionVersión aceptada / Onetsi den bertsioaes
dc.contributor.funderUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoaes


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© 2015 Elsevier Inc. The manuscript version is made available under the CC BY-NC-ND 4.0 license.
La licencia del ítem se describe como © 2015 Elsevier Inc. The manuscript version is made available under the CC BY-NC-ND 4.0 license.

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