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Discrete Wavelet Petrov–Galerkin Methods |
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| Authors: | Zhongying Chen Charles A Micchelli Yuesheng Xu |
| Institution: | (1) Department of Scientific Computation, Zhongshan University, Guangzhou, 510275, P.R. China;(2) Department of Mathematics and Statistics, State University of New York at Albany, Albany, NY 12222, USA;(3) Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA;(4) Academy of Mathematics and System Sciences, Academia Sinica, Beijing, 100080, People's Republic of China |
| Abstract: | In this paper, we develop a discrete wavelet Petrov–Galerkin method for integral equations of the second kind with weakly singular kernels suitable for solving boundary integral equations. A compression strategy for the design of a fast algorithm is suggested. Estimates for the rate of convergence and computational complexity of the method are provided. |
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