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解麦克斯韦方程的谱方法
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作者 辛欣 王加霞 +1 位作者 黄健飞 赵维加 《青岛大学学报(自然科学版)》 CAS 2008年第1期27-32,共6页
本文研究了在时间和空间方向同时采用高精度谱方法对麦克斯韦方程的数值离散求解的数值方法。在空间方向利用谱元素作Galerkin有限元进行半离散,形成具有分块稀疏刚度矩阵的大型常微分方程组。对时间变量采用谱延迟校正的方法离散,然后... 本文研究了在时间和空间方向同时采用高精度谱方法对麦克斯韦方程的数值离散求解的数值方法。在空间方向利用谱元素作Galerkin有限元进行半离散,形成具有分块稀疏刚度矩阵的大型常微分方程组。对时间变量采用谱延迟校正的方法离散,然后用Krylov子空间方法加速求解。这种方法不但空间离散可以达到高精度,而且在时间方向的离散具有A稳定性并可以达到任意阶精度。 展开更多
关键词 麦克斯韦方程 GALERKIN法 元素方法 延迟校正方法
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基于SDC的电力系统高精度动态仿真方法 被引量:1
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作者 戴汉扬 汤涌 +4 位作者 宋新立 刘涛 吴国旸 叶小晖 项胤兴 《中国电机工程学报》 EI CSCD 北大核心 2019年第2期427-435,共9页
动态仿真数值计算结果的准确性对电力系统规划运行具有重要的意义。该文提出一种具备辛特性的谱亏损校正(spectral deferred correction,SDC)积分方法应用于电力系统动态仿真。该方法在低阶积分方法的基础上,结合Gauss型正交多项式插值... 动态仿真数值计算结果的准确性对电力系统规划运行具有重要的意义。该文提出一种具备辛特性的谱亏损校正(spectral deferred correction,SDC)积分方法应用于电力系统动态仿真。该方法在低阶积分方法的基础上,结合Gauss型正交多项式插值构造一种高阶谱积分校正量,并采用迭代的方式对低阶计算结果进行校正,从而获得高阶收敛精度和大步长仿真能力。在采用交替求解法时,该方法具备很好的程序兼容性,易于完成现有仿真程序的改造。该文基于一个小系统验证SDC方法的高精度收敛特性和辛特性,并基于全过程动态仿真程序PSD-FDS,针对IEEE标准140节点系统对比分析SDC方法和梯形积分方法在不同步长下的仿真特性。结果表明SDC方法仿真结果更加准确可靠,不仅具有高阶收敛精度,还能够有效克服梯形积分方法在长时间计算过程中存在的累积误差和相位滞后问题。 展开更多
关键词 电力系统 动态仿真 谱校正方法 高精度
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Auto-registration and Orthorecification Algorithm for the Time Series HJ-1A/B CCD Images 被引量:5
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作者 BIAN Jin-hu LI Ai-nong +3 位作者 JIN Hua-an LEI Guang-bin HUANG Cheng-quan LI Meng-xue 《Journal of Mountain Science》 SCIE CSCD 2013年第5期754-767,共14页
How to deal with geometric distortion is an open problem when using the massive amount of satellite images at a national or global scale, especially for multi-temporal image analysis. In this paper, an algorithm is pr... How to deal with geometric distortion is an open problem when using the massive amount of satellite images at a national or global scale, especially for multi-temporal image analysis. In this paper, an algorithm is proposed to automatically rectify the geometric distortion of time-series CCD multi- spectral data of small constellation for environmental and disaster mitigation (HJ-1A/B) which was launched by China in 2008. In this algorithm, the area-based matching method was used to automatically search tie points firstly, and then the polynomial function was introduced to correct the systematic errors caused by the satellite motion along the roll, pitch and yaw direction. The improved orthorectification method was finally used to correct pixel displacement caused by off-nadir viewing of topography, which are random errors in the images and cannot be corrected by the polynomial equation. Nine scenes of level 2 HJ CCD images from one path/row were taken as the warp images to test the algorithm. The test result showed that the overall accuracy of the proposed algorithm was within 2 pixels (the average residuals were 37.8 m, and standard deviations were 19.8 m). The accuracies of 45.96% validation points (VPs) were within 1 pixel and 90.33% VPs were within 2 pixels. The discussion showed that three main factors including the distortion patterns of HJ CCD images, pereent of cloud cover and the varying altitude of the satellite orbit may affect the search of tie points and the accuracy of results. Although the influence of varying altitude of the satellite orbits is less than the other factors, it is noted that detailed satellite altitude information should be given in the future to get a more precise result. The proposed algorithm should be an efficient tool for the geo-correction of HJ CCD multi-spectral images. 展开更多
关键词 HJ time series images Auto-geocorrection Topographic correction Widecoverage CCD cameras
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Timedelay based all-frequency correction method for discrete spectrum
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作者 秦强 Jiang Zhinong He Wei Feng Kun 《High Technology Letters》 EI CAS 2011年第1期106-111,共6页
Many spectrum correction methods have been developed, but their performance degrades significantly when they are applied to the correction of low frequency component ( LFC ). It owns to that the model underlying the... Many spectrum correction methods have been developed, but their performance degrades significantly when they are applied to the correction of low frequency component ( LFC ). It owns to that the model underlying the conventional approaches neglects the interference of the negative frequency in the real signal. A new approach for the correction of the LFC is proposed, which suits all kinds of symmetrical windows. It divides a signal into three sections and makes use of the first spectrum line of each section. Then this approach is modified so that it is also applicable to the correction of the high frequency component. Thus a timedelay-based all-frequency correction method is proposed. The simulation results show that this method is simple and feasible. By this method, the accurate frequency, amplitude and phase of the spectral line can be obtained whether it is close to or far from OHz. 展开更多
关键词 signal analysis fault diagnosis discrete spectrum low frequency spectrum correction
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A variable differential consensus method for improving the quantitative near-infrared spectroscopic analysis 被引量:1
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作者 DU GuoRong CAI WenSheng SHAO XueGuang 《Science China Chemistry》 SCIE EI CAS 2012年第9期1946-1952,共7页
Consensus methods have presented promising tools for improving the reliability of quantitative models in near-infrared(NIR) spectroscopic analysis.A strategy for improving the performance of consensus methods in multi... Consensus methods have presented promising tools for improving the reliability of quantitative models in near-infrared(NIR) spectroscopic analysis.A strategy for improving the performance of consensus methods in multivariate calibration of NIR spectra is proposed.In the approach,a subset of non-collinear variables is generated using successive projections algorithm(SPA) for each variable in the reduced spectra by uninformative variables elimination(UVE).Then sub-models are built using the variable subsets and the calibration subsets determined by Monte Carlo(MC) re-sampling,and the sub-model that produces minimal error in cross validation is selected as a member model.With repetition of the MC re-sampling,a series of member models are built and a consensus model is achieved by averaging all the member models.Since member models are built with the best variable subset and the randomly selected calibration subset,both the quality and the diversity of the member models are insured for the consensus model.Two NIR spectral datasets of tobacco lamina are used to investigate the proposed method.The superiority of the method in both accuracy and reliability is demonstrated. 展开更多
关键词 near infrared spectroscopy multivariate calibration consensus model variable selection uninformative variable elim-ination successive projections algorithm
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HPLC-DAD data coupled with second-order calibration method applied to food analysis: Simultaneous determination of six benzoylurea insecticides in various fruit samples by selecting time region of chromatogram 被引量:2
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作者 QING XiangDong WU HaiLong +5 位作者 NIE ChongChong LI Yong YAN XiuFang ZHANG XiHua YIN XiaoLi YU RuQin 《Science China Chemistry》 SCIE EI CAS 2013年第11期1641-1650,共10页
This work presents a novel application of second-order calibration based on self-weighted alternating trilinear decomposition(SWATLD)algorithm for analyzing the HPLC-DAD data.The proposed method makes it possible to s... This work presents a novel application of second-order calibration based on self-weighted alternating trilinear decomposition(SWATLD)algorithm for analyzing the HPLC-DAD data.The proposed method makes it possible to simultaneously determine teflubenzuron,hexaflumuron,flufenoxuron,chlorfluazuron,diflubenzuron and benzoylurea in different fruit samples,i.e.pear,apple and banana,in the selected time region of chromatogram.The concentration,elution time and spectral information of these benzoylurea insecticides are selectively extracted from complex matrices even in the presence of unknown interferences.The root-mean-square error of prediction(RMSEP)and figures of merit,including sensitivity(SEN),selectivity(SEL)and limit of detection(LOD)are employed to access the performance of the method.The LODs obtained for these insecticides are within the range 0.017–0.26 ppm in pears,0.039–0.33 ppm in apples,0.041–0.44 ppm in bananas,respectively.Such a chemometrics-based protocol holds great potential to be extended as a promising alternative for more practical applications in food safety and quality monitoring. 展开更多
关键词 second-order calibration HPLC-DAD SWATLD benzoylurea insecticide FRUIT
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