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PARABOLIC EQUATION DEVELOPMENT IN THE TWENTIETH CENTURY (Q2981661)

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Language	Label	Description	Also known as
English	PARABOLIC EQUATION DEVELOPMENT IN THE TWENTIETH CENTURY	scientific article

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scholarly article

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PARABOLIC EQUATION DEVELOPMENT IN THE TWENTIETH CENTURY (English)

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Allan D. Pierce

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Journal of Computational Acoustics

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publication date

9 May 2017

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MaRDI profile type

MaRDI publication profile

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Current development in the numerical treatment of ocean acoustic propagation

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PARABOLIC EQUATION DEVELOPMENT IN RECENT DECADE

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A finite-difference treatment of interface conditions for the parabolic wave equation: The horizontal interface

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Relation between the solutions of the Helmhotz and parabolic equations for sound propagation

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A wide-angle split-step algorithm for the parabolic equation

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A finite-difference treatment of interface conditions for the parabolic wave equation: The irregular interface

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Extending the finite difference treatment of interfaces when using the parabolic wave equation

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Helmholtz equation as an initial value problem with application to acoustic propagation

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FINITE DIFFERENCE TREATMENT OF IRREGULAR INTERFACES: AN ERROR ANALYSIS

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Parabolic approximations to the time-independent elastic wave equation

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Numerical solutions of the parabolic wave equation: An ordinary-differential-equation approach

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A class of nonlinear multistep a-stable numerical methods for solving stiff differential equations

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Finite-difference solution to the parabolic wave equation

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A Parabolic Theory of Stress Wave Propagation Through Inhomogeneous Linearly Elastic Solids

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A parabolic approximation for elastic waves

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A range refraction parabolic equation

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A comparison of parabolic wave theories for linearly elastic solids

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A high-angle one-way wave equation for seismic wave propagation along rough and sloping interfaces

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Parabolic Wave Equation Approximations in Heterogenous Media

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Higher Order Paraxial Wave Equation Approximations in Heterogeneous Media

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A modified wide angle parabolic wave equation

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A stochastic parabolic wave equation and field-moment equations for random media having spatial variation of mean refractive index

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Finite-difference treatment of a time-domain parabolic equation: Theory

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The Harvard open ocean model: Calibration and application to dynamical process, forecasting, and data assimilation studies

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Parabolic approximations for underwater sound propagation

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Bremmer series that correct parabolic approximations

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Rays and local modes in a wedge-shaped ocean

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Intrinsic modes in a nonseparable ocean waveguide

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Stable Explicit Schemes for Equations of the Schrödinger Type

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Finite Difference Methods for the Wide-Angle "Parabolic" Equation

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A high-order numerical method for solving ocean acoustic problems

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The Solution of the Diffusion Equation by a High Order Correct Difference Equation

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Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics

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FINITE ELEMENT METHODS FOR THE PARABOLIC EQUATION WITH INTERFACES

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A coupled 3D fluid-elastic wave propagation model: mathematical formulation and analysis

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Current and current shear effects in the parabolic approximation for underwater sound channels

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Reciprocity and energy theorems for waves in compressible inhomogeneous moving fluid

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Reciprocity and energy conservation within the parabolic approximation.

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Numerical Computations of Elastic Wave Equations

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A METHOD FOR THE TREATMENT OF A SLOPING SEA BOTTOM IN THE PARABOLIC APPROXIMATION

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Modeling of reciprocity in the time domain using the parabolic equation method

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full work available at URL

https://doi.org/10.1142/s0218396x00000388

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Identifiers

zbMATH Open document ID

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10.1142/S0218396X00000388

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:2981661

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