Convergence of a simple discretization of the finite Hilbert transformation

被引：1

作者：

Costabel, Martin ^{[1
]}

机构：

[1] Univ Rennes, CNRS, IRMAR UMR 6625, F-35000 Rennes, France

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2023年 / 150卷

关键词：

Singular integral equation; Hilbert transform; Delta-delta discretization; Method of discrete vortices; Discrete dipole approximation; DISCRETE DIPOLE APPROXIMATION;

D O I：

10.1016/j.camwa.2023.09.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a singular integral equation on an interval of the real line, we study the behavior of the error of a delta-delta discretization. We show that the convergence is non-uniform, between order O(h(2)) in the interior of the interval and a boundary layer where the consistency error does not tend to zero.

引用

页码：15 / 21

页数：7

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