On the convergence of the Bremmer series for the Helmholtz equation in 2- D

DOI10.1016/S0165-2125(86)80050-6zbMath0611.35012MaRDI QIDQ1087714

H. McMaken

Publication date: 1986

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

zbMATH Keywords

Neumann seriesHelmholtz equationsBremmer seriesW.K.B. approximate solution

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (2)

Bremmer series for the multimodal sound propagation in inhomogeneous waveguides ⋮ Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension

Cites Work

• Unnamed Item
• Wave propagation and the Bremmer series
• On the convergence of the time-domain Bremmer series
• Bremmer series that correct parabolic approximations
• Wave propagation and underwater acoustics
• Exponential-Like Solutions of Systems of Linear Ordinary Differential Equations
• On weak reflection of water waves
• The W.K.B. approximation as the first term of a geometric‐optical series

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