University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 11 1 2000 03 01 TWO LOW-ORDER METHODS FOR THE NUMERICAL EVALUATION OF CAUCHY PRINCIPAL VSlLUE INTEGRALS OF OSCILLATORY KIND - 31306 EN Journal Article In this paper, we develop two piecewise polynomial methods for the numerical evaluation of Cauchy Principal Value integrals of oscillatory kind. The two piecewisepolynomial quadratures are compact, easy to implement, and are numerically stable. Two numerical examples are presented to illustrate the two rules developed, The convergence of the two schemes is proved and some error bounds obtained, https://jsciences.ut.ac.ir/article_31306_5f4d36824abbbe0b96729728d035a7ae.pdf