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Li, J.B., Wang, X.S. and Wang, T. (2010) Evaluation of Cauchy Principal Value Integrals of Oscillatory Kind. Applied Mathematics and Computation, 217, 2390-2396. https://doi.org/10.1016/j.amc.2010.07.039

has been cited by the following article:

• 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.