A fast multiscale Kantorovich method for weakly singular integral equations

作者：Long, Guangqing^*; Wu, Weifen; Nelakanti, Gnaneshwar

来源：Numerical Algorithms, 2013, 63(1): 49-63.

DOI：10.1007/s11075-012-9610-x

• Integral equations
• Kantorovich method
• Iterated method
• Superconvergence
• Fast method
• Weakly singular kernel

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.

• 出版日期2013-5
• 单位南宁师范大学