牛顿科茨公式计算超奇异积分的误差估计
THE ERROR ESTIMATE OF NEWTON-COTES METHODS TO COMPUTE HYPERSINGULAR INTEGRAL
查看参考文献18篇
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文摘
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超奇异积分的数值计算是边界元方法中的重要的课题之一, 本文得到了牛顿科茨公式计算任意阶超奇异积分误差估计, 当误差函数中的S_k~((p))(τ)=o时, 便得到超收敛现象, 并给出了S_k~((p))(τ)之间的相互关系.相应的数值算例验证了理论分析的正确性 |
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其他语种文摘
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The composite Newton-Cotes rules for the computation of hypersingular integral on interval is studied. The emphasis is placed on certain function, denoted by S_K(P) (τ), in the error functional, where τ is the local coordinate of the singular point. When S_K(P) (τ) = 0 the so-called point wise superconvergence phenomenon occurs. Besides, the property of S_K~(P) (τ) is presented. At last, numerical examples are provided to validate the theoretical analysis |
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来源
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计算数学
,2011,33(1):77-86 【核心库】
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关键词
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超奇异积分
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牛顿科茨公式
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误差展开式
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地址
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1.
山东建筑大学理学院, 济南, 250101
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LSEC, 中国科学院, 数学与系统科学研究院, 计算数学研究所, 北京, 100080
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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0254-7791 |
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学科
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数学 |
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基金
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国家973计划
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文献收藏号
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CSCD:4144324
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参考文献 共
18
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