Finite-difference solution to the parabolic wave equation

DOI10.1121/1.386918zbMath0469.76055OpenAlexW2081344277MaRDI QIDQ3923807

John S. Papadakis, George Botseas, Ding Lee

Publication date: 1981

Published in: The Journal of the Acoustical Society of America (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1121/1.386918

zbMATH Keywords

parabolic wave equationunderwater acoustic wave propagationfree surface and arbitrary bottom

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Finite difference methods for boundary value problems involving PDEs (65N06)

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A stable explicit scheme for the ocean acoustic wave equation ⋮ Analysis of an implicit finite difference solution to an underwater wave propagation problem ⋮ Pseudodifferential operators, operator orderings, marching algorithms and path integrals for one-way equations ⋮ Applying the Chebyshev–Tau Spectral Method to Solve the Parabolic Equation Model of Wide-Angle Rational Approximation in Ocean Acoustics ⋮ PARABOLIC EQUATION DEVELOPMENT IN THE TWENTIETH CENTURY ⋮ Analytic discrete transparent boundary conditions for high-order Padé parabolic equations ⋮ An explicit finite-difference scheme for solving the ocean acoustic parabolic wave equation ⋮ Using cyclic reduction on a parallel computer to improve the performance of an underwater sound implicit finite difference model ⋮ Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics ⋮ Difference schemes for the parabolic wave equation in ocean acoustics ⋮ Applications of energy methods to finite-difference solutions of the parabolic wave equation ⋮ The natural reference wavenumber for parabolic approximations in ocean acoustics

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