Thin-Layer Solutions of the Helmholtz and Related Equations

DOI10.1137/090761641zbMath1237.31004OpenAlexW2086299161MaRDI QIDQ2879874

R. H. Tew, John R. Ockendon

Publication date: 5 April 2012

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090761641

zbMATH Keywords

convection-diffusion equationHelmholtz equationheat conduction equationgeometrical theory of diffractionmodified Helmholtz equationparabolic wave equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Diffraction, scattering (78A45) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Waves and radiation in optics and electromagnetic theory (78A40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Diffusion and convection (76R99) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Geometric optics (78A05)

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