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.
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页码：15 / 21
页数：7
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