多元积分方程自适应解法的优化

Optimization of Approximate Solution of Integral Equations of Several Variables

考虑核属于各向异性的Sobolev类的积分方程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方法.

In this paper, we consider the problem of optimization of adaptive direct methods of operator equations. For some classes of the second kind Fredhlom integral equations with anisotropic smooth kernels, we determine the exact order of the error of adaptive direct methods, and also give an optimal algorithm.