Publication: An asymptotic expansion of the hyberbolic umbilic catastrophe integral
| dc.contributor.author | Ferreira González, Chelo | |
| dc.contributor.author | López García, José Luis | |
| dc.contributor.author | Pérez Sinusía, Ester | |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute for Advanced Materials and Mathematics - INAMAT2 | en |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
| dc.date.accessioned | 2023-03-24T17:16:03Z | |
| dc.date.available | 2023-03-24T17:16:03Z | |
| dc.date.issued | 2022 | |
| dc.date.updated | 2023-03-24T13:40:54Z | |
| dc.description.abstract | We obtain an asymptotic expansion of the hyperbolic umbilic catastrophe integral Ψ(H) (x,y,z) := ∫∞−∞∫∞−∞exp(i(s3+t3+zst +yt+xs))ds dt for large values of |x| and bounded values of |y| and |z|. The expansion is given in terms of Airy functions and inverse powers of x. There is only one Stokes ray at argx=π . We use the modified saddle point method introduced in (López et al. J Math Anal Appl 354(1):347–359, 2009). The accuracy and the asymptotic character of the approximations are illustrated with numerical experiments. | en |
| dc.description.sponsorship | This research was supported by the Universidad Pública de Navarra, research grant PRO-UPNA (6158) 01/01/2022. | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Ferreira, C., López, J. L., & Pérez Sinusía, E. (2022). An asymptotic expansion of the hyberbolic umbilic catastrophe integral. The Ramanujan Journal. https://doi.org/10.1007/s11139-022-00675-0 | en |
| dc.identifier.doi | 10.1007/s11139-022-00675-0 | es_ES |
| dc.identifier.issn | 1382-4090 | es_ES |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/44956 | |
| dc.language.iso | eng | en |
| dc.publisher | Springer | en |
| dc.relation.ispartof | The Ramanujan Journal (2022) | en |
| dc.relation.publisherversion | https://doi.org/10.1007/s11139-022-00675-0 | |
| dc.rights | © 2022, The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Asymptotic approximations | en |
| dc.subject | Hyperbolic umbilic catastrophe integral | en |
| dc.subject | Modified saddle point method | en |
| dc.title | An asymptotic expansion of the hyberbolic umbilic catastrophe integral | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | Versión publicada / Argitaratu den bertsioa | es |
| dc.type.version | info:eu-repo/semantics/publishedVersion | en |
| dspace.entity.type | Publication | |
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