The Pearcey integral in the highly oscillatory region
| dc.contributor.author | López García, José Luis | |
| dc.contributor.author | Pagola Martínez, Pedro Jesús | |
| dc.contributor.department | Matematika eta Informatika Ingeniaritza | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.department | Ingeniería Matemática e Informática | es_ES |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
| dc.date.accessioned | 2018-12-14T12:04:13Z | |
| dc.date.available | 2018-12-14T12:04:13Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | We 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.sponsorship | The Universidad Pública de Navarra is acknowledged by its financial support. | en |
| dc.format.extent | 7 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1016/j.amc.2015.11.080 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/31771 | |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Applied Mathematics and Computation 275 (2016) 404–410 | en |
| dc.relation.publisherversion | https://doi.org/10.1016/j.amc.2015.11.080 | |
| dc.rights | © 2015 Elsevier Inc. The manuscript version is made available under the CC BY-NC-ND 4.0 license. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Pearcey integral | en |
| dc.subject | Asymptotic expansions | en |
| dc.subject | Modified saddle point method | en |
| dc.title | The Pearcey integral in the highly oscillatory region | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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