Galerkin-wavelet modeling of wave propagation: Optimal finite-difference stencil design
type: Item
instance of: scholarly article
title: Galerkin-wavelet modeling of wave propagation: Optimal finite-difference stencil design
zbMATH Open document ID: 0801.65097
DOI: 10.1016/0895-7177(94)90113-9
author: J. O. Blanch
author: William W. Symes
author: Johan O. A. Robertsson
author: C. Sidney Burrus
published in: Mathematical and Computer Modelling
publication date: 1994-05-24T00:00:00Z
review text: Galerkin approximations to the wave equation, using compactly supported wavelets as basis functions, are considered. It is shown that a suitable choice of the wavelets leads to an explicit scheme. The proposed method is illustrated by two examples.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 571382
zbMATH Keywords: Galerkin method
zbMATH Keywords: numerical examples
zbMATH Keywords: wave equation
zbMATH Keywords: wavelets
zbMATH Keywords: explicit scheme
reviewed by: Reinhard Redlinger
MaRDI profile type: Publication
full work available at URL: 0895-7177(94)90113-9
OpenAlex ID: W1965266376
cites work: Orthonormal bases of compactly supported wavelets
cites work: Ten Lectures on Wavelets
cites work: Q4404383
cites work: Q4326957
cites work: Wavelets on the interval and fast wavelet transforms
cites work: Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
cites work: A theory for multiresolution signal decomposition: the wavelet representation
cites work: Optimal wavelet representation of signals and the wavelet sampling theorem
cites work: Q4027550
cites work: Q4502357
cites work: On the Representation of Operators in Bases of Compactly Supported Wavelets
cites work: Wavelet Calculus and Finite Difference Operators
cites work: Q3816503
description: scientific article; zbMATH DE number 571382