An Implementation of Fast Wavelet Galerkin Methods for Integral Equations of the Second Kind
Document Type
Article
Publication Date
4-1-2004
Abstract
We present a numerical implementation of the fast Galerkin method for Fredholm integral equations of the second kind using the piecewise polynomial wavelets. We focus on addressing critical issues for the numerical implementation of such a method. They include a choice of practical truncation strategy, numerical integration of weakly singular integrals and the error control of the numerical quadrature. We also implement a multiscale iteration method for solving the resulting compressed linear system. Numerical examples are given to demonstrate the proposed ideas and methods.
Repository Citation
Fang, W.,
Wang, Y.,
& Xu, Y.
(2004). An Implementation of Fast Wavelet Galerkin Methods for Integral Equations of the Second Kind. Journal of Scientific Computing, 20 (2), 277-302.
https://corescholar.libraries.wright.edu/math/431
DOI
10.1023/B:JOMP.0000008723.85496.ce
