A finite difference method for the wide-angle “parabolic” equation in a waveguide with downsloping bottom

DOI10.1002/num.21762zbMath1282.76136arXiv1110.3438OpenAlexW2040098228WikidataQ115398260 ScholiaQ115398260MaRDI QIDQ2846188

Georgios E. Zouraris, Dimitra Antonopoulou, Vassilios A. Dougalis

Publication date: 5 September 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.3438

zbMATH Keywords

error estimatesfinite difference methodsvariable domainsinitial-boundary-value problemswide-angle parabolic equationunderwater sound propagationdownsloping bottom

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hydro- and aero-acoustics (76Q05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (1)

Crank-Nicolson finite element discretizations for a two-dimensional linear Schrödinger-type equation posed in a noncylindrical domain

Cites Work

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• A high-angle one-way wave equation for seismic wave propagation along rough and sloping interfaces
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• Finite Difference Methods for the Wide-Angle "Parabolic" Equation
• Error Estimates for Finite Difference Methods for a Wide-Angle “Parabolic” Equation
• On an initial‐boundary value problem for a wide‐angle parabolic equation in a waveguide with a variable bottom
• Exponential Stability of Solutions of Differential Equations of Sobolev Type
• General Boundary Value Problems for Differential Equations of Sobolev Type
• Reciprocity and energy conservation within the parabolic approximation.

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