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Wavelet Galerkin methods for second-kind integral equations

โœ Scribed by Charles A. Micchelli; Yuesheng Xu; Yunhe Zhao

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
845 KB
Volume
86
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

We use vector-valued multiwavelets on compact sets to develop a Galerkin method for systems of integral equations of the second kind. We propose a compression strategy for the coeflieient matrix of the linear system obtained from this method and show that the compressed scheme preserves almost optimal convergence rate of the original scheme and yields a sparse matrix with a bounded condition number.

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