Uniform Asymptotic Expansion of the Square-Root Helmholtz Operator and the One-Way Wave Propagator

DOI10.1137/S0036139902402300zbMath1024.35026MaRDI QIDQ4429756

A. K. Gautesen, Maarten V. de Hoop

Publication date: 28 September 2003

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bremmer serieshigh-frequency limitdirectional decompositionclosed-form representationsthin slabswave field decomposition

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Wave equation (35L05) Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Pseudodifferential operators (47G30)

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