第二类积分方程的多尺度Galerkin快速算法

Multiscale Fast Method for Second Kind Integral Equations

利用区间上具有消失矩性质的多尺度小波基底,构造Fredholm第二类积分方程Galerkin框架,提出相应的截断策略,并优化了收敛阶。

In this paper we make use of multiscale wavelets that have vanishing moment as trial space basis, and purpose Galerkin Scheme for second kind integral equation with weakly kernel. Through corresponding truncation strategy, we improve the order of convergence to almost optimal order and obtain almost optimal computional complexity at the same time.