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最小二乘法的改进算法辨识棱镜摄谱仪定标多项式 被引量:1
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作者 王淑青 王慧 陈春雷 《湛江海洋大学学报》 CAS 2006年第1期62-66,共5页
提出了采用最小二乘法的改进算法拟和一元非线性函数,并用该算法辨识棱镜摄谱仪的定标多项式,数值计算结果表明:采用改进的算法,非常显著地降低了求解定标多项式系数方程组的系数矩阵的条件数,定标多项式能更精确地反映谱平面坐标和谱... 提出了采用最小二乘法的改进算法拟和一元非线性函数,并用该算法辨识棱镜摄谱仪的定标多项式,数值计算结果表明:采用改进的算法,非常显著地降低了求解定标多项式系数方程组的系数矩阵的条件数,定标多项式能更精确地反映谱平面坐标和谱线波长的定量关系。 展开更多
关键词 最小二乘法 改进算法 定标多项式 一元非线性函数
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A linear crack length measurement method for railway bridges based on calibration points fitting 被引量:1
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作者 WANG Ji-wu YU Peng-fei +1 位作者 LUO Hai-bao YU Pei-long 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2020年第2期118-125,共8页
For the linear crack skeleton of railway bridges with irregular strike,it is difficult to accurately express the crack contour feature by using a single smoothing fitting algorithm.In order to improve the measurement ... For the linear crack skeleton of railway bridges with irregular strike,it is difficult to accurately express the crack contour feature by using a single smoothing fitting algorithm.In order to improve the measurement accuracy,a polynomial curve fitting was proposed,which used the calibration point of crack contour as the boundary point,and then put them all together to produce a continuous contour curve to achieve the crack length measurement.The method was tested by measuring the linar cracks with different shapes.It is shown that this proposed algorithm can not only solve the jagged problem generated in the crack skeleton extraction process,but also improve the crack length measurement accuracy.The relative deviation is less than 0.15,and the measurement accuracy is over 98.05%,which provides a more effective means for the crack length measurement in railway bridges. 展开更多
关键词 crack skeleton length measurement calibration point polynomial fitting railway bridge
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Strategies for h-Adaptive Refinement for a Finite Element Treatment of Harmonic Oscillator Schrodinger Eigenproblem
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作者 T.D.Young R.Armiento 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第6期1017-1023,共7页
A Schrodinger eigenvalue problem is solved for the 219 quantum simple harmonic oscillator using a finite element discretization of real space within which elements are adaptively spatially refined. We compare two comp... A Schrodinger eigenvalue problem is solved for the 219 quantum simple harmonic oscillator using a finite element discretization of real space within which elements are adaptively spatially refined. We compare two competing methods of adaptively discretizing the real-space grid on which computations are performed without modifying the standard polynomial basis-set traditionally used in finite element interpolations; namely, (i) an application of the Kelly error estimator, and (ii) a refinement based on the local potential level. When the performance of these methods are compared to standard uniform global refinement, we find that they significantly improve the total time spent in the eigensolver. 展开更多
关键词 adaptive finite element analysis Harmonic oscillator problems Schrodinger equation
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