WAVELET SOLUTIONS FOR TIME HARMONIC ACOUSTIC WAVES IN A FINITE OCEAN-Reference-Cited by-同舟云学术

WAVELET SOLUTIONS FOR TIME HARMONIC ACOUSTIC WAVES IN A FINITE OCEAN

Published:1993-03 Issue:01 Volume:01 Page:31-60
ISSN:0218-396X
Container-title:Journal of Computational Acoustics
language:en
Short-container-title:J. Comp. Acous.

Author:

GILBERT R. P.¹,LIN WEI²

Affiliation:

1. University of Delaware, Department of Mathematical Sciences, Newark, DE19176, USA

2. Zhongshan University, Department of Mathematics, Guanzhou, Canton, People's Republic of China

Abstract

In this paper, we show how wavelet analysis may be used to solve the parabolic approximate wave equation. The paper is naturally subdivided into three parts. The first entails a crash course in wavelet analysis with the aim of using it to solve partial differential equations. The second part develops the wavelet-Galerkin approximation for solving partial differential equations in variational form. Finally, the third section derives a range-depth adaptive wavelet approach, and, moreover, provides an algorithm for solving the propagation problem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Acoustics and Ultrasonics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218396X93000032

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