On the convergence of the time-domain Bremmer series

DOI10.1016/0165-2125(83)90015-XzbMath0515.73036OpenAlexW2040529635MaRDI QIDQ1052137

Samuel H. Gray

Publication date: 1983

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(83)90015-x

zbMATH Keywords

exampleinhomogeneous mediumFourier transformationone-dimensional wave equationexponential bounds for seriesfrequency-independent version of series convergestime-domain Bremmer seriesvariations in medium remain finite

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Series solutions to PDEs (35C10) Waves in solid mechanics (74J99)

Related Items (2)

On the convergence of the Bremmer series for the Helmholtz equation in 2- D ⋮ Acoustic and elastic scattering by continuously stratified media

Cites Work

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• Wave propagation and the Bremmer series
• On the vibrations of a heterogeneous string
• The W.K.B. approximation as the first term of a geometric‐optical series

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