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Hankel变换数值积分算法的加速收敛方法比较 被引量:1

Hankel transform to accelerate the convergence of the numerical integration algorithm
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摘要 文章将交错级数的线性变换加速收敛方法引入到Hankel变换数值积分算法中。分析比较了Hankel变换数值积分算法中的euler变换法,连分式法和线性变换法的加速收敛效率。数值算例表明:线性变换法也是一种可以明显提高Hankel变换数值积分精度和效率的有效方法。 The article introduced alternating series of linear transformation method to the Hankel transform numerical integration algo- rithms accelerate convergence.Analysis and compares the Hankel transform in the numerical integration algorithm euler transformation method, continued fraction method and accelerate the convergence of linear transformation efficiency.Numerical examples show that the linear transformation method is also a kind of effective method to improve Hankel transformation numerical's precision and efficiency.
作者 王海军 李刚
出处 《企业技术开发》 2012年第6期8-9,44,共3页 Technological Development of Enterprise
关键词 HANKEL变换 Euler变换 连分式 线性变换 the Hankel transform the Euler transform continued fractions linear transformation
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  • 1李吉松,朴化荣.电偶源瞬变测深—维正演及视电阻率响应研究[J].物探化探计算技术,1993,15(2):108-116. 被引量:29
  • 2Nabighian N M. 1992.电磁法勘探: 理论卷[M]. 赵经祥译.北京:地质出版社.Nabighian N M. (translated into Chinese by ZHAO Jing-xiang). 1992. Electromagnetic Methods in Applied Geophysics (Volume 1) [M]. Geological Publishing House, Beijing (in Chinese).
  • 3长谷川健.1985.水平电气双极子によろ层状大地のスチツア应答と见挂导电率について[J]. 物理探查, 38(3): 21-31.Hasegawa K . 1985. On the step response and the apparent conductivity for a stratified earth by a horizontal electric dipole [J]. Geophysical Exploration, 38(3): 21-31 (in Japanese).
  • 4Anderson W L. 1979. Numerical integration of related Hankel transforms of orders 0 and 1 by adaptive digital filtering [J]. Geophysics, 44(10): 1287-1305.
  • 5Chave A D. 1983. Numerical integration of related Hankel transforms by quadrature and continued fraction expansion [J]. Geophysics, 48(12): 1671-1677.
  • 6Ghosh P P. 1971. The application of linear filter theory to the direct integration of geoelectrical resistivity sounding measurements [J]. Geophysical prospecting, 19(2): 192-217.
  • 7Gubatenko V P, Nazarov A A. 1999. Multiple integration by parts as applied to processing of transient electromagnetic field in a horizontally layered medium [J]. Geology and Geophysics, 40(12): 1843-1849 (in Russian).
  • 8Hnggi P, Roesel F, Trautmann D. 1980. Evaluation of infinite series by use of continuous fraction expansion: a numerical study [J]. Jour Comp Phys, 37: 252-258.
  • 9Strack K M. 1992. Methods in Geochemistry and Geophysics: Exploration with Deep Transient Electromagnetics [M]. Elsevier Science Publishers, Netherlands. 247-284.
  • 10昌彦君,罗延钟,仇高喜.全时域时间谱视电阻率算法研究[J].物探化探计算技术,1998,20(3):193-198. 被引量:6

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