多元Fredholm积分方程自适应直接方法的优化

Optimization of adaptive direct methods of Fredholm integral equations of several variables

考虑了以各向异性光滑函数为核及自由项的多元Fredholm积分方程类的自适应直接方法的优化,得到误差阶的精确估计及相应的最优算法.

In this paper, the optimization problem of adaptive direct methods for operator equations is considered. For some classes of the second kind Fredhlom integral equations with anisotropic smooth kernels and free terms the exact order of errors of adaptive direct methods is determined and an optimal algorithm is obtained.