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A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel
- Source :
-
Journal of Computational & Applied Mathematics . Dec2006, Vol. 197 Issue 1, p218-232. 15p. - Publication Year :
- 2006
-
Abstract
- Abstract: We examine the use of wavelet packets for the fast solution of integral equations with a highly oscillatory kernel. The redundancy of the wavelet packet transform allows the selection of a basis tailored to the problem at hand. It is shown that a well chosen wavelet packet basis is better suited to compress the discretized system than wavelets. The complexity of the matrix–vector product in an iterative solution method is then substantially reduced. A two-dimensional wavelet packet transform is derived and compared with a number of one-dimensional transforms that were presented earlier in literature. By means of some numerical experiments we illustrate the improved efficiency of the two-dimensional approach. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 197
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 21920125
- Full Text :
- https://doi.org/10.1016/j.cam.2005.11.001