| 对数型奇异核小波展开的递推算法 |
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| 引用本文： | 徐长发,姚亦峰.对数型奇异核小波展开的递推算法[J].华中科技大学学报(自然科学版),1998(5). |
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| 作者姓名： | 徐长发 姚亦峰 |
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| 作者单位： | 华中理工大学数学系 |
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| 基金项目： | 国家自然科学基金,湖北省自然科学基金项目,模具技术国家重点实验室资助项目 |
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| 摘 要： | 讨论了对数型奇异核小波展开的数值方法．该问题是小波Ｇａｌｅｒｋｉｎ方法数值求解对数型弱奇异积分方程的核心问题．分析了解决该问题的难点，利用小波和正交多项式建立了一系列递推关系来解决该问题．理论分析和数值例子都说明提出的递推算法是快速稳定的．
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| 关 键 词： | 奇异积分 边界元 小波 正交多项式 |
A Recurrence Formula to Calculate the Logarithm Type Singular Integral with Wavelets |
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| Xu Changfa Prof., Dept. of Mathematics,HUST,Wuhan ,China. Yao Yifong.A Recurrence Formula to Calculate the Logarithm Type Singular Integral with Wavelets[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1998(5). |
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| Authors: | Xu Changfa Prof Dept of Mathematics HUST Wuhan China Yao Yifong |
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| Institution: | Xu Changfa Prof., Dept. of Mathematics,HUST,Wuhan 430074,China. Yao Yifong |
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| Abstract: | A numerical recurrence formula to calculate one dimensional singular integral with log kernel and scaling functions is presented. It is an essential problem that arises when using wavelets to discretize a type of singular integral equations. The difficulties to deal with this problem are discussed in brief, then the advantages of the relations between wavelets and orthogonal polynomials are taken to cope with this problem. At the end, the numerical results are given. |
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| Keywords: | singular integration wavelets boundary element methods orthogonal polynomials |
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