A direct multiple-scale approach to the parabolic equation method

DOI10.1016/j.wavemoti.2012.12.004zbMath1454.35067OpenAlexW2037716625MaRDI QIDQ1756379

A. D. Zakharenko, M. Yu. Trofimov, Pavel Petrov

Publication date: 14 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2012.12.004

zbMATH Keywords

multiple-scale methodparabolic equation methodenergy flux conservation

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Transparent boundary conditions for iterative high-order parabolic equations ⋮ On the numerical solution of the iterative parabolic equations by ETDRK pseudospectral methods in linear and nonlinear media ⋮ Random matrix theory for an adiabatically-varying oceanic acoustic waveguide ⋮ On decomposition of the fundamental solution of the Helmholtz equation over solutions of iterative parabolic equations

Uses Software

• OASES

Cites Work

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• A multiscale derivation of a new parabolic equation which includes density variations
• Computational Ocean Acoustics
• The one-way wave equation and its invariance properties
• Reciprocity and energy conservation within the parabolic approximation.

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