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数值微分的小波最小二乘方法
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作者 尹伟石 孟品超 姜志侠 《沈阳航空航天大学学报》 2012年第5期89-92,共4页
给出了利用小波求解数值微分的方法。将微分问题转化为等价的第一类Fredholm积分方程,然后选取小波基,使用最小二乘求解该积分方程。我们给出的分析框架容许使用具紧支集的小波,利用正则化保证了计算的稳定性。数值计算实例表明,本方法... 给出了利用小波求解数值微分的方法。将微分问题转化为等价的第一类Fredholm积分方程,然后选取小波基,使用最小二乘求解该积分方程。我们给出的分析框架容许使用具紧支集的小波,利用正则化保证了计算的稳定性。数值计算实例表明,本方法稳定,运算速度快,计算精度高。 展开更多
关键词 数值微分 第一类FREDHOLM积分方程 最小二乘法方法 正则化
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Research on Determination of Nitrogen Content in Petroleum Using Mid-infrared Spectroscopy 被引量:2
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作者 Li Jingyan Chu Xiaoli +1 位作者 Tian Songbai Lu Wanzhen (SINOPEC Research Institute of Petroleum Processing, Beijing 100083) 《China Petroleum Processing & Petrochemical Technology》 SCIE CAS 2011年第4期1-7,共7页
Nitrogen content is an important parameter for petroleum refining processes. The combined use of mid-infrared attenuated total reflection spectroscopy and multivariate calibration allows accurate determination of nitr... Nitrogen content is an important parameter for petroleum refining processes. The combined use of mid-infrared attenuated total reflection spectroscopy and multivariate calibration allows accurate determination of nitrogen content in petroleum and its products. The calibration models of nitrogen content in crude oils have been established by partial least squares (PLS) method. The results predicted by this method were very close to those determined by standard methods. Compared with standard methods, this method is provided with advantages such as high-speed, simplicity and good-repeat- ability without any needs for pretreatment. 展开更多
关键词 PETROLEUM mid-infrared spectroscopy partial least square NITROGEN
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Calculation of stratum surface principal curvature based on a moving least square method 被引量:2
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作者 LI Guo-qing MENG Zhao-ping +4 位作者 MA Feng-shan ZHAO Hai-jun DING De-min LIU Qin WANG Cheng 《Journal of China University of Mining and Technology》 EI 2008年第1期59-63,共5页
With the east section of the Changji sag Zhunger Basin as a case study, both a principal curvature method and a moving least square method are elaborated. The moving least square method is introduced, for the first ti... With the east section of the Changji sag Zhunger Basin as a case study, both a principal curvature method and a moving least square method are elaborated. The moving least square method is introduced, for the first time, to fit a stratum surface. The results show that, using the same-degree base function, compared with a traditional least square method, the moving least square method can produce lower fitting errors, the fitting surface can describe the morphological characteristics of stratum surfaces more accurately and the principal curvature values vary within a wide range and may be more suitable for the prediction of the distribution of structural fractures. The moving least square method could be useful in curved surface fitting and stratum curvature analysis. 展开更多
关键词 principal curvatures moving least square method surface fitting structural fractures
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Parameter Estimation with Constraints Based on Variational Method
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作者 施闻明 《Journal of Marine Science and Application》 2010年第1期105-108,共4页
The accuracy of parameter estimation is critical when digitally modeling a ship. A parameter estimation method with constraints was developed, based on the variational method. Performance functions and constraint equa... The accuracy of parameter estimation is critical when digitally modeling a ship. A parameter estimation method with constraints was developed, based on the variational method. Performance functions and constraint equations in the variational method are constructed by analyzing input and output equations of the system. The problem of parameter estimation was transformed into a problem of least squares estimation. The parameter estimation equation was analyzed in order to get an optimized estimation of parameters based on the Lagrange multiplication operator. Simulation results showed that this method is better than the traditional least squares estimation, producing a higher precision when identifying parameters. It has very important practical value in areas of application such as system identification and parameter estimation. 展开更多
关键词 least squares estimation parameter estimation variational method CONSTRAINT
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