TITLE:
Simple Method for Evaluating Singular Integrals
AUTHORS:
Nhan T. Tran
KEYWORDS:
Singular Integral, Weakly Singular, Strongly Singular, Hyper Singular, Numerical Integration
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.7 No.4,
December
14,
2017
ABSTRACT: In this
paper, we develop a method for evaluating one dimensional singular integrals
(weakly, strongly, and hyper-singular) that converge in the sense of Cauchy
principal value and Hadamard finite part integrals. A proof of convergence of
this method is also provided.