Uniform high-frequency approximations of the square root Helmholtz operator symbol

DOI10.1016/S0165-2125(97)00018-8zbMath0918.35039OpenAlexW2065369632MaRDI QIDQ1276614

Louis Fishman, Zhiming Sun, A. K. Gautesen

Publication date: 24 August 1999

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

Full work available at URL: https://doi.org/10.1016/s0165-2125(97)00018-8

zbMATH Keywords

Dirichlet-to-Neumann operatorsoperator symbol approximationsWeyl pseudodifferential operator calculus

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Wave equation (35L05) Theoretical approximation in context of PDEs (35A35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (11)

An operator marching method for inverse problems in range-dependent waveguides ⋮ An improved surface radiation condition for high-frequency acoustic scattering problems ⋮ Discrete non-local boundary conditions for split-step Padé approximations of the one-way Helmholtz equation ⋮ The inverse fundamental operator marching method for Cauchy problems in range-dependent stratified waveguides ⋮ Exact constructions of square-root Helmholtz operator symbols: The focusing quadratic profile ⋮ Efficient numerical simulation for long range wave propagation ⋮ Parabolic approximation of nonlocal boundary conditions for elastic seabeds ⋮ On inverse source problems for the one-way wave equation. ⋮ A three-dimensional Laguerre one-way wave equation solver ⋮ Local orthogonal transformation for acoustic waveguide ⋮ Local orthogonal transformation and one-way methods for acoustic waveguides

Uses Software

• OASES

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