中文摘要：

考虑一类积分算子特征值问题的多尺度Galerkin逼近格式,给出了相应的截断策略,大大减少了计算量,证明了收敛阶和计算复杂度达到几乎最优。

英文摘要：

A fast multiscale Galerkin method for solving eigenvalue problem of compact integral operator with symmetrical and smooth kernel is developed.Through corresponding truncation strategy,it is proved that the order of convergence and the computational complexity are both almost optimal.