Multilevel augmentation algorithms based on fast collocation methods for solving ill-posed integral equations
This paper continues the theme of the recent work Chen et al. (2008)1181, in which fast collocation methods are introduced for solving ill-posed Fredholm integral equations of the first kind. We develop in this paper multilevel augmentation algorithms, which lead to fast solutions of the discrete equations resulting from fast collocation methods. Regularization parameter choice strategies are given for proposed methods. The theoretical analysis and numerical experiments illustrate the accuracy and efficiency of the algorithm. (C) 2011 Elsevier Ltd. All rights reserved.
fast collocation methods iii-posed integral equations of the first kind multilevel augmentation methods regularization methods