dc.contributor.author | Dunster, T. M. | |
dc.contributor.author | Gil Gómez, Amparo | |
dc.contributor.author | Segura Sala, José Javier | |
dc.contributor.other | Universidad de Cantabria | es_ES |
dc.date.accessioned | 2021-06-07T08:15:31Z | |
dc.date.available | 2022-08-01T23:18:17Z | |
dc.date.issued | 2021-07 | |
dc.identifier.issn | 0219-5305 | |
dc.identifier.issn | 1793-6861 | |
dc.identifier.other | MTM2015-67142-P | es_ES |
dc.identifier.other | PGC2018-098279-B-I00 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10902/21839 | |
dc.description.abstract | ABSTRACT: Recently, the present authors derived new asymptotic expansions for linear differential equations having a simple turning point. These involve Airy functions and slowly varying coefficient functions, and were simpler than previous approximations, in particular being computable to a high degree of accuracy. Here we present explicit error bounds for these expansions which only involve elementary functions, and thereby provide a simplification of the bounds associated with the classical expansions of Olver. | es_ES |
dc.description.sponsorship | Financial support from Ministerio de Ciencia e Innovación, Spain, projects MTM2015-67142-P (MINECO/FEDER, UE) and PGC2018-098279-B-I00 (MCIU/AEI/FEDER, UE) is acknowledged | es_ES |
dc.format.extent | 30 p. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | World Scientific | es_ES |
dc.rights | Electronic version of an article published as Analysis and ApplicationsVol. 19, No. 04, pp. 647-678 (2021) https://doi.org/10.1142/S0219530520500104 © World Scientific Publishing Company https://www.worldscientific.com/worldscinet/aa" | es_ES |
dc.source | Analysis and Applications, Vol. 19, No. 04, pp.647-678 | es_ES |
dc.subject.other | Asymptotic expansions | es_ES |
dc.subject.other | Airy functions | es_ES |
dc.subject.other | Turning point theory | es_ES |
dc.subject.other | WKB methods | es_ES |
dc.title | Simplified error bounds for turning point expansions | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherVersion | https://doi.org/10.1142/S0219530520500104 | es_ES |
dc.rights.accessRights | openAccess | es_ES |
dc.identifier.DOI | 10.1142/S0219530520500104 | |
dc.type.version | acceptedVersion | es_ES |