A numerical method for computing Hadamard finite-part integrals with a non-integral power singularity at an endpoint

作     者：Ogata, Hidenori 

作者机构：Department of Computer and Network Engineering Graduate School of Informatics and Engineering University of Electro-Communications 1-5-1 Chofugaoka Chofu Tokyo182-8585 Japan 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2019年

核心收录：

主　　题：Numerical methods 

摘      要：In this paper, we propose a numerical method of computing a Hadamard finite-part integral with a non-integral power singularity at an endpoint, that is, a finite part of a divergent integral as a limiting procedure. In the proposed method, we express the desired finite-part integral using a complex loop integral, and obtain the finite-part integral by evaluating the complex integral by the trapezoidal formula. Theoretical error estimate and some numerical examples show the effectiveness of the proposed *** codes 65D30 Copyright © 2019, The Authors. All rights reserved.