迭代离散Galerkin方法求解特征值问题的数值实现(英文)

A Numerical Implementation of Iterated Discrete Galerkin Methods for Eigen-problems

针对光滑核的积分算子特征值问题建立离散Galerkin、迭代离散Galerkin方法.同时,提出迭代离散Galerkin方法求解特征值问题的算法.最后给出一个数值算例充分说明算法的有效性及数值结果与理论误差一致.

We develop discrete Galerkin and iterated discrete Galerkin methods for eigen-problems of an integral operator with smooth kernel functions .We propose the algorithm steps of the iterated discrete Galerkin method for solving eigen-problems .A numerical example is presented to fully demonstrate the validity of algorithms and numer-ical results that coincide with theoretical values .