Numerical evaluation of oscillatory-singular integrals. Issue 12 (2nd December 2019)

• Record Type: Journal Article
• Authors: Yang, Gang; Yao, Luogen; Chen, Ruyun
• Is Part Of: International journal of computer mathematics. Volume 96:Issue 12(2019)
• Page Start: 2473
• Page End: 2486
• Publication Date: 2019-12-02
• Subjects: Singularity -- approximate polynomial -- oscillatory integrals -- numerical evaluation -- error analysis; 65D32 -- 65D30; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2019.1572884
• Languages: English
• ISSNs: 0020-7160

Abstract

ABSTRACT: In this paper, we consider an asymptotic Filon-type method for computing the oscillatory Cauchy principal value integrals and end-point oscillatory-singular integrals. The method is constructed by using a Lagrange interpolating polynomial to approximate the non-oscillatory function so that it successfully avoids the singularity and solving the systems of equations. Numerical examples and theoretical results show the accuracy and efficiency of the proposed method.