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
error estimatesfinite difference methodsvariable domainsinitial-boundary-value problemswide-angle parabolic equationunderwater sound propagationdownsloping bottom
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)
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Cites Work
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- Ocean acoustic propagation by finite difference methods
- Finite Difference Schemes for the "Parabolic" Equation in a Variable Depth Environment with a Rigid Bottom Boundary Condition
- Galerkin Methods for Parabolic and Schrödinger Equations with Dynamical Boundary Conditions and Applications to Underwater Acoustics
- A high-angle one-way wave equation for seismic wave propagation along rough and sloping interfaces
- Parabolic Wave Equation Approximations in Heterogenous Media
- 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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