自适应离散分数阶渐进正则化方法

An Efficient Adaptive Discretization for Fractional Asymptotical Regularization

采用有效的自适应投影离散方法,用于求解第一类算子方程.该方法将分数阶渐近正则化与自适应投影方法相结合,与标准投影方法相比,所需的离散信息少得多,得到了近似解的最优收敛率.

A fast multiscale projection method with compression technique was developed for the numerical solution of operator equations of the first kind.This method consists of combining the fractional asymptotical regularization with an adaptive projection scheme.Optimality of the proposed method was proved but requires substantially less discrete information compared with standard projection methods.