The Expolation Methods for Computing Cauchy Principal Value Integral on Interval
Abstract The generalized composite rectangle (constant) rule for the computation of Cauchy principle value integral with kernel 1/(x-s ) is discussed, and the asymptotic expansion of error function is obtained. Based on the asymptotic expansion, a series is constructed to approach the singular point. An extrapolation algorithm is presented and the convergence rate is proved. At last, some examples are also illustrated to confirm the theoretical results and show the efficiency of the algorithms.
Cauchy principal value integral Extrapolation method Composite rectangle rule Superconvergence
J. Li
School of Science,Shandong Jianzhu University, Jinan, 250101 China
国际会议
长沙
英文
1-5
2012-05-18（万方平台首次上网日期，不代表论文的发表时间）