On the Asymptotic Solution to a Class of Linear Integral Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1988 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Applied Mathematics, volume 48, pages 294-306 (issn: 0036-1399, eissn: 1095-712X,

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Authors: Gautesen, A. K.;

doi: 10.1137/0148015

On the Asymptotic Solution to a Class of Linear Integral Equations

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Abstract

The author obtains complete uniform asymptotic expansions of the solutions to the integral equations \(Ku=f(x),\) and \(L_ xL^*_ XKu=f(x),\) \(0

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Iowa State University
United States

Keywords

steady-state acoustic scattering, Hydro- and aero-acoustics, complete uniform asymptotic expansions, Fredholm integral equations, Wiener-Hopf factorization, Asymptotics of solutions to integral equations, Hankel function

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