An asymptotic expansion of the hyberbolic umbilic catastrophe integral

DOI10.1007/s11139-022-00675-0MaRDI QIDQ6116100

Ester Pérez Sinusía, José Luis López, Chelo Ferreira

Publication date: 17 July 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

asymptotic approximationsmodified saddle point methodhyperbolic umbilic catastrophe integral

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Catastrophe theory (58K35)

Cites Work

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• The Pearcey integral in the highly oscillatory region
• 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
• Topological models in Biology
• Stokes surfaces of diffraction catastrophes with codimension three
• Dislocation lines in the hyperbolic umbilic diffraction catastrophe
• 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
• Axial and focal-plane diffraction catastrophe integrals
• The swallowtail integral in the highly oscillatory region III

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