奇异积分算子的逼近及其数值计算

On Approximation of Singular Integral Operators and Their Evaluation

讨论了带 Cauchy 核奇异积分算子多项式逼近及其数值计算,获得了这种逼近的阶估计,给出了一个计算方法,同时还给出了计算 p.p.(X(z),x)的递推公式和一个计算实例。

This paper discusses the interpolation approximation of singular integral operatorswith a Cauehy kernel and their evaluation.The degree of the approximation is abtained and a nu-merical method is reprecented.Also,a recurrence formula for calculating p.p.(X(z),x).and a nu-merical example are given.