The swallowtail integral in the highly oscillatory region. II

DOI10.1553/etna_vol52s88zbMath1437.33021OpenAlexW3005337425MaRDI QIDQ2303347

Chelo Ferreira, Ester Pérez Sinusía, José Luis López

Publication date: 3 March 2020

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol52/abstract.php?vol=52&pages=88-99

zbMATH Keywords

asymptotic expansionsmodified saddle point methodswallowtail integral

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other functions defined by series and integrals (33E20)

Related Items (3)

The swallowtail integral in the highly oscillatory region III ⋮ Asymptotic approximation of a highly oscillatory integral with application to the canonical catastrophe integrals ⋮ An asymptotic expansion of the hyberbolic umbilic catastrophe integral

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Pearcey integral in the highly oscillatory region
• Hyperasymptotic evaluation of the Pearcey integral via Hadamard expansions
• 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
• Convergent and asymptotic expansions of the Pearcey integral
• The uniform asymptotic swallowtail approximation: practical methods for oscillating integrals with four coalescing saddle points
• Asymptotic Expansion of the Pearcey Integral Near the Caustic
• 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
• Asymptotics of the Swallowtail Integral Near the Cusp of the Caustic

This page was built for publication: The swallowtail integral in the highly oscillatory region. II