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Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain 被引量:8
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作者 Liu Xiaogang Li Yingchun +1 位作者 Xiao Yun Guan Bin 《Geodesy and Geodynamics》 2015年第1期34-40,共7页
Downward continuation is a key step in processing airborne geomagnetic data. However,downward continuation is a typically ill-posed problem because its computation is unstable; thus, regularization methods are needed ... Downward continuation is a key step in processing airborne geomagnetic data. However,downward continuation is a typically ill-posed problem because its computation is unstable; thus, regularization methods are needed to realize effective continuation. According to the Poisson integral plane approximate relationship between observation and continuation data, the computation formulae combined with the fast Fourier transform(FFT)algorithm are transformed to a frequency domain for accelerating the computational speed. The iterative Tikhonov regularization method and the iterative Landweber regularization method are used in this paper to overcome instability and improve the precision of the results. The availability of these two iterative regularization methods in the frequency domain is validated by simulated geomagnetic data, and the continuation results show good precision. 展开更多
关键词 Downward continuation Regularization parameter Iterative Tikhonov regularization method Iterative Landweber regularization metho
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Continuous Dependence of Bounded Φ-Variation Solutions on Parameters for Kurzweil Equations 被引量:3
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作者 李宝麟 吴从炘 《Northeastern Mathematical Journal》 CSCD 2005年第4期421-430,共10页
The continuous dependence of bounded Φ-variation solutions on parameters for Kurzweil equations are established by using the functions of bounded Φ- variation that were introduced by Musielak-Orlice. These results a... The continuous dependence of bounded Φ-variation solutions on parameters for Kurzweil equations are established by using the functions of bounded Φ- variation that were introduced by Musielak-Orlice. These results are essential generalizations of continuous dependence of bounded variation solutions on parameters for Kurzweil equations. 展开更多
关键词 Kurzweil equation bounded Φ-variation solution continuous dependence on parameter
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