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奇异积分的有限积分及其截断Hermite插值逼近
THE APPROXIMATION OF SINGULAR INTEGRALS BY FINITE-INTEGRATION AN HERMITE INTERPOLATORY
【摘要】 本文讨论具有形式的Cauchy主值积分.文中定义了奇异积分对于给定点集的有限积分,并导出了上述Cauchy主值积分用有限积分表示的公式。在上述基础上,本文给出了一种对上述Cauchy主值积分的简便而有效的截断Hermite插值逼近方法,并给出了其误差估计和收敛性定理.
【Abstract】 In this paper,the cauchy principal value integrals of the form is discussed.The finite-pair intrgration of singlar integrals is defined,and the formula for the Cauchy principal value integrals by finite-part integration is gerived. On the basis of the above, We get a simple amd effectove approximate metyhod by Hermite interpolatory is edscribed, and the its error estimate and the convergence theorem are obtained.
【关键词】 奇异积分;
有限积分;
插值逼近;
边界元方法;
【Key words】 singular integrals; finnite-part integration; interpolatory approximation; boundary element method;
【Key words】 singular integrals; finnite-part integration; interpolatory approximation; boundary element method;
【基金】 高等学校博士学科点专项基金
- 【文献出处】 合肥工业大学学报(自然科学版) ,JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE) , 编辑部邮箱 ,1994年01期
- 【分类号】O175.5
- 【被引频次】2
- 【下载频次】48