An asymptotic expansion of the hyberbolic umbilic catastrophe integral

Ferreira, Chelo (Universidad de Zaragoza) ; López, José L. ; Pérez Sinusía, Ester (Universidad de Zaragoza)

Resumen: We obtain an asymptotic expansion of the hyperbolic umbilic catastrophe integral Ψ(H)(x,y,z):=∫∞−∞∫∞−∞exp(i(s3+t3+zst+yt+xs))dsdt 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.

Idioma: Inglés

DOI: 10.1007/s11139-022-00675-0

Año: 2023

Publicado en: RAMANUJAN JOURNAL 61, 3 (2023), 921–933
ISSN: 1382-4090

Factor impacto JCR: 0.6 (2023)

Categ. JCR: MATHEMATICS rank: 264 / 490 = 0.539 (2023) - Q3 - T2

Factor impacto CITESCORE: 1.4 - Algebra and Number Theory (Q2)

Factor impacto SCIMAGO: 0.712 - Algebra and Number Theory (Q1)

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)