doi:10.1007/s11139-022-00675-0engFerreira, CheloLópez, José L.Pérez Sinusía, EsterAn asymptotic expansion of the hyberbolic umbilic catastrophe integralART-2023-132448We 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.2023http://zaguan.unizar.es/record/12406310.1007/s11139-022-00675-0http://zaguan.unizar.es/record/124063oai:zaguan.unizar.es:124063RAMANUJAN JOURNAL 61, 3 (2023), 921–933byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess