The adaptive composite trapezoidal rule for Hadamard finite-part integrals on an interval

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:325

Article

Liu, Dongjie¹  Wu, Jiming²  Zhang, Xiaoping³ 

[1] Shanghai Univ, Coll Sci, Dept Math, Shanghai 200444, Peoples R China

[2] Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China

[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

关键词: Adaptivity;    Trapezoidal rule;    Hadamard finite-part integrals;    Error estimate;   

DOI  :  10.1016/j.cam.2017.04.041

来源: Elsevier

【 摘 要 】

In this article, we discuss an adaptive strategy of implementing trapezoidal rule for evaluating Hadamard finite-part integrals with kernels having different singularity. The purpose is to demonstrate cost savings and fast convergence rates engendered through adaptivity for the computation of finite-part integrals. The error indicators obtained from the a posteriori error estimate are used for mesh refinement. Numerical experiments demonstrate that the a posteriori error estimate is efficient, and there is no reliability-efficient gap. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free