Galerkin-wavelet modeling of wave propagation: Optimal finite-difference stencil design

Authors:
J. O. A. Robertsson;J. O. Blanch;W. W. Symes;C. S. Burrus
Affiliations:
Department of Geology and Geophysics, Rice University P.O. Box 1892, Houston, TX 77251, U.S.A.;Department of Geology and Geophysics, Rice University P.O. Box 1892, Houston, TX 77251, U.S.A.;Department of Computational and Applied Mathematics, Rice University Houston, TX 77251, U.S.A.;Department of Electrical and Computer Engineering, Rice University Houston, TX 77251, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1994

Citing 2
Cited 0

A Theory for Multiresolution Signal Decomposition: The Wavelet Representation

IEEE Transactions on Pattern Analysis and Machine Intelligence
On the representation of operators in bases of compactly supported wavelets

SIAM Journal on Numerical Analysis

Quantified Score

Hi-index	0.98

Visualization

Abstract

In this paper, we describe a method for design of optimal finite-difference stencils for wave propagation problems using an intrinsically explicit Galerkin-wavelet formulation. The method enables an efficient choice of stencils optimal for a certain problem. We compare group velocity curves corresponding to stencils obtained by our choice of wavelet basis and traditional finite-difference schemes. Generally there exist choices of stencils with superior characteristics compared to conventional finite-difference stencils of the same size. Beside gain in accuracy, this leads to large computational savings.