Asymptotic approximation of a highly oscillatory integral with application to the canonical catastrophe integrals

DOI10.1111/sapm.12539zbMath1530.41024MaRDI QIDQ6089547

José Luis López, Chelo Ferreira, Ester Pérez Sinusía

Publication date: 15 December 2023

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionshighly oscillatory integralsmodified saddle point methodcatastrophe integrals

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A systematization of the saddle point method. Application to the Airy and Hankel functions
• On the asymptotics for late coefficients in uniform asymptotic expansions of integrals with coalescing saddles
• The asymptotic expansion of the swallowtail integral in the highly oscillatory region
• The swallowtail integral in the highly oscillatory region. II
• Convergent and asymptotic expansions of the Pearcey integral
• A method for the numerical evaluation of the oscillatory integrals associated with the cuspoid catastrophes: application to Pearcey's integral and its derivatives
• The asymptotic behaviour of Pearcey’s integral for complex variables
• The swallowtail integral in the highly oscillatory region III

This page was built for publication: Asymptotic approximation of a highly oscillatory integral with application to the canonical catastrophe integrals