Abstract

Abstract : The Parabolic Equation (PE) has applications in many different scientific fields such as electromagnetics, optics theory, quantum mechanics, plasma physics, seismology, underwater acoustics, and others. The subject of this presentation is PE approximation as applied to underwater acoustic wave propagation. A review will be given on past contributions, recent developments will be highlighted, and, looking ahead, we will discuss what the PE method can do in order to simulate future search and development, as well as applications. Intensive computations with respect to the PE implementation will also be discussed.

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