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  5. Complex Integral Method For Computing Hypersingular Integrals And Error Estimation

Complex Integral Method For Computing Hypersingular Integrals And Error Estimation

来源 :第五届亚太国际工程中计算方法学术会议暨第11届全国工程计算方法学术会议 | 被引量 : 0次 | 上传用户：jsnjwh
【摘 要】
：
　　In this paper,the complex integral method is firstly put forward to compute hypersingular integrals on interval.Based on the classical Cauchy integral formu
【作 者】
：
YimingChen[1]XuanLi[1]XuedaoShu[2]GuangxianShen[3] 
【机 构】
：
College of Science,Yanshan University,Qinhuangdao,066004,China
【出 处】
：
第五届亚太国际工程中计算方法学术会议暨第11届全国工程计算方法学术会议
【发表日期】
：
2015年期
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　　In this paper,the complex integral method is firstly put forward to compute hypersingular integrals on interval.Based on the classical Cauchy integral formula,the integral paths of hypersingular integrals is moved to the complex plane from the real axis so that there is no singular points in the new integral paths,and then the computational formulas of the exact value of hypersingular integrals is obtained.At the same time,the numerical algorithm of complex integral and error estimation are derived.Numerical examples are provided to show that the method is computationally efficient.
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