TITLE:
On the Evaluation of Oscillatory Kind with Cauchy Principal Value
AUTHORS:
Changhao Li
KEYWORDS:
Gauss-Quadrature, Cauchy Principal Value, Oscillatory Kind Function
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.5,
May
20,
2021
ABSTRACT:
In this paper, we discuss the integrals of oscillatory kind function with Cauchy principal value in point zero which have the form like , where f (x) is smooth function and r is odd integer. In this integral, xr has several stationary points , and the Cauchy principal value . We use some integral technique to transform it into the form like so that we can calculate it. At the end, we give some numerical examples to prove the accuracy of this method.