Difference schemes for the parabolic wave equation in ocean acoustics

DOI10.1016/0898-1221(85)90169-5zbMath0576.76065OpenAlexW2006565384WikidataQ57397471 ScholiaQ57397471MaRDI QIDQ1064907

Tony F. Chan, Ding Lee, Long-jun Shen

Publication date: 1985

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90169-5

zbMATH Keywords

finite difference schemeexplicit and implicit schemesmultidimensional equation of Schrödinger typeNeumann type stabilityreal and complex schemesthree-dimensional parabolic wave equationtwo-level and three-level schemes

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Hydro- and aero-acoustics (76Q05) Basic methods in fluid mechanics (76M99)

Uses Software

• YSMP

Cites Work

• Unnamed Item
• An explicit finite-difference scheme for solving the ocean acoustic parabolic wave equation
• A multiscale derivation of a new parabolic equation which includes density variations
• Analysis of an implicit finite-difference scheme for a third-order partial differential equation in three dimensions
• A stable explicit scheme for the ocean acoustic wave equation
• Stability Analysis of Finite Difference Schemes for the Advection-Diffusion Equation
• A mathematical model for the 3-dimensional ocean sound propagation
• Stability Analysis of Difference Schemes for Variable Coefficient Schrödinger Type Equations
• Acoustic propagation in random oceans using the radiation transport equation
• Finite-difference solution to the parabolic wave equation
• Yale sparse matrix package I: The symmetric codes
• Stable Explicit Schemes for Equations of the Schrödinger Type
• The spin down of rotating stratified fluids

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