Laser optogalvanic investigations of the Neon 6302  transition

The optogalvanic effect of neon,in the presence of CO gas,has been specifically investigated for the 630.2 nm transition.Our theoretical model,based on rate equations,predicts well the observed signals as a sum of exponential functions.     

Room-temperature excitation-emission phosphorescence matrices and second-order multivariate calibration for the simultaneous determination of pyrene and benzo[a]pyrene

The present article describes the simultaneous phosphorimetric determination of pyrene and benzo[a]pyrene, two highly toxic polycyclic aromatic hydrocarbons, through excitation-emission phosphorescence matrices (EEPMs) and second-order calibration. The developed approach enabled us to determine both compounds at μg L⁻¹ concentration levels without the necessity of applying separation steps, as well as significantly reducing the experimental time. An artificial neural network (ANN) approach was applied to optimize the chemical variables which have an influence on the room-temperature phosphorescence emission of the studied analytes. The present study was employed for the discussion of the scopes of the applied second-order chemometric tools: parallel factor analysis (PARAFAC) and partial least-squares with residual bilinearization (PLS/RBL). The superior capability of PLS/RBL to model the profiles of other potentially interferent polycyclic aromatic hydrocarbons (PAHs) was demonstrated. The quality of the proposed method was established with the determination of both pyrene and benzo[a]pyrene in artificial and real water samples.     

Estimation of performance characteristics of a confirmation method for thyreostats in plasma by means of a weighted least-squares approach

A weighted linear regression-based approach was applied to ascertain analytical performance characteristics of a method for the quantitative determination of thyreostats in plasma by LC-MS. The weights were set equal to the reciprocal of the variances. A straightforward and practical procedure is presented that was used to model the variance of the replicate measurements as a function of concentration. Different function types were tested for their suitability.     

A novel interpolating element-free Galerkin (IEFG) method for two-dimensional elastoplasticity

Using the interpolating moving least-squares (IMLS) method to obtain the shape function, we present a novel interpolating element-free Galerkin (IEFG) method to solve two-dimensional elastoplasticity problems. The shape function of the IMLS method satisfies the property of Kronecker δ function, then in the meshless methods based on the IMLS method, the essential boundary conditions can applied directly. Based on the Galerkin weak form, we obtain the formulae of the IEFG method for solving two-dimensional elastoplasticity problems. The IEFG method has some advantages, such as simpler formulae and directly applying the essential boundary conditions, over the conventional element-free Galerkin (EFG) method. The results of three numerical examples show that the computational precision of the IEFG method is higher than that of the EFG method.     

矩阵方程AX＋XB=C的双对称解及其最佳逼近

提出一种求解线性矩阵方程AX＋XB=C双对称解的迭代法.该算法能够自动地判断解的情况,并在方程相容时得到方程的双对称解,在方程不相容时得到方程的最小二乘双对称解.对任意的初始矩阵,在没有舍入误差的情况下,经过有限步迭代得到问题的一个双对称解.若取特殊的初始矩阵,则可以得到问题的极小范数双对称解,从而巧妙地解决了对给定矩...     

激光陀螺捷联惯导系统多位置标定方法

在建立惯性仪表简化误差模型的基础上,提出了一种多位置标定方法.该方法充分考虑标定条件、设备以及时间等因素,设计了一种多位置连续转动标定方案,充分激励惯性仪表各项误差参数,从而建立起所有误差参数与系统导航误差之间的关系,通过测量每个位置静态导航状态下的速度误差,采用最小二乘估计,全面辨识出所有21个误差参数.理论分析和实验结果表明,与传统标定方法相比,该方法对标定设备要求低,无需北向基准,实现简单方便,在较短的时间内就可以一次标定出惯性仪表所有21个误差参数,标定精度与基于精密转台的标定精度相当,具有较强的工程实用性.     

基于LED峰值的太阳光谱合成方法

为了利用不同波段LED快速准确地模拟太阳光谱,基于LED的光谱合成原理,提出了一种利用LED光谱峰值波长处的数据合成太阳光谱的方法,简化了太阳光谱的拟合过程。首先,建立所有LED峰值波长处的函数方程组,利用约束最小二乘法确定各波段的拟合参数。进而,通过3组等间隔的LED光谱数据组对该方法进行了仿真分析,间隔40,30,20 nm的LED合成光谱与目标光谱相关系数对应为0.902,0.935,0.977,并对合成光谱失真处进行了分析和修正。最后,根据所选LED的实际光谱对太阳光谱进行了仿真分析。仿真结果表明：合成光谱与太阳光谱最大失配误差为4%,达到AM1.5的A级标准,满足LED太阳模拟器光谱匹配要求。     

加权残值法对Stokes流的应用

本文通过综述加权残值法对流体力学一个分支——Stokes流动的应用,试图说明这一方法对于解决流体力学问题具有广阔的前景。      

Comparison of Retention Indices of Some Explosives and Related Compounds Calculated by Different Mathematical Methods in Reversed-Phase Liquid Chromatography

In reversed phase liquid chromatography, the retention indices of some neutral and acidic explosives and related compounds (nitramines, nitroaromatics, aminoaromatics, and nitrophenols) based on the alkan-2-one, alkyl aryl ketone, and 1-nitroalkane retention index standards have been determined by the application of a new mathematical adaptation method, viz. a multiparametric least-squares regression iterative method. This method was applied to two types of columns. The first group includes six octadecyl-C₁₈ columns with different packing materials and obtained from different manufacturers, while the second group comprises one octyl-C₈ column. The retention indices have been extensively studied using either methanol-water or methanol-phosphate buffer mobile phase systems. The calculated multiparametric retention indices values were compared with those obtained by Guardino's, Grobler's, and Kovàts' methods. The influences of the concentration of the organic modifier in the mobile phase, aqueous mobile phase pH, and the column packing material on the retention indices of the explosives were also investigated. Good agreement was observed between the retention indices calculated by the use of the four mathematical methods for both neutral and acidic explosives.     

A two-stage least-squares finite element method for the stress-pressure-displacement elasticity equations

A new stress-pressure-displacement formulation for the planar elasticity equations is proposed by introducing the auxiliary variables, stresses, and pressure. The resulting first-order system involves a nonnegative parameter that measures the material compressibility for the elastic body. A two-stage least-squares finite element procedure is introduced for approximating the solution to this system with appropriate boundary conditions. It is shown that the two-stage least-squares scheme is stable and, with respect to the order of approximation for smooth exact solutions, the rates of convergence of the approximations for all the unknowns are optimal both in the H¹-norm and in the L²-norm. Numerical experiments with various values of the parameter are examined, which demonstrate the theoretical estimates. Among other things, computational results indicate that the behavior of convergence is uniform in the nonnegative parameter. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14: 297–315, 1998