A fast multiscale Kantorovich method for weakly singular integral equations |
| |
| Authors: | Guangqing Long Weifen Wu Gnaneshwar Nelakanti |
| |
| Institution: | 1. Department of Mathematics, Guangxi Normal College, Nanning, 530001, People’s Republic of China
2. Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, West Bengal, India
|
| |
| Abstract: | In this paper, we use the idea of Kantorovich regularization to develop the fast multiscale Kantorovich method and the fast iterated multiscale Kantorovich method. For some kinds of weakly singular integral equations with nonsmooth inhomogeneous terms, we show that our two proposed methods can still obtain the optimal order of convergence and superconvergence order, respectively. Numerical examples are given to demonstrate the efficiency of the methods. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
