Schrödinger方程的连续时空有限元方法

本文讨论Schr?dinger方程的连续时空有限元方法,通过引入相应的时空投影算子,利用实部虚部分离技巧,得到了变量u在时间节点处的L²范数,以及u和u_t的全局L²(H¹)和L²(L²)范数意义下的最优误差估计结果.该文的结论对进一步探索和设计Schr?dinger方程的数值算法是有益的.     

坐标测量机的空间误差检测及误差修正

如何简单、迅速地获取坐标测量机的机构误差,并对其进行软件修正,是近年来国内外学者研究的一个重要课题。本文研究了三坐标测量机的误差修正理论及用三维检具检测测量机误差的方法,提出了空间球检具晶格移位法误差检测原理和多项式拟合的误差函数获得方法,并将其应用于一台中型的坐标测量机的误差修正中,收到了满意的效果。     

测长仪器数字化微机化改造中的精度保证

本文介绍了测长仪器数字化微机化改造中的精度保证方法:标尺倾斜调整法和计算机软件补偿法。作者将这些方法应用于万能工具显微镜的改造中,获得了满意的效果。该方法简单有效,而且亦适用于新测长仪器的制造。文中还对测长标尺的制造提出了“标尺刻度间距的公差带应正向单向布置”的指导性意见。     

〔23，12，7〕Golay码的改进译码算法

ＭａｒｉｏＢｌａｕｍ和ＪｅｈｏｓｈｕａＢｒｕｃｋ提出了一种基于［２３,１２,７］Ｇｏｌａｙ码校验矩阵＂设计＂特性的译码算法,和其它的Ｇｏｌａｙ码译码算法相比,这种译码算法的复杂度最小,但它不便于用集成器件实现和不便于完全集成化,作者对该算法进行了改进,使其易于集成实现;同时使［２３,１２,７］Ｇｏｌａｙ码译码算法进一步简化．对其复杂度分析证明,当误码率≤１０％时,作者所设计的译码算法优于其它译码算法。     

Estimation of a quantile in some nonstandard cases

A necessary condition for the asymptotic normality of the sample quantile estimator isf(Q(p))=F(Q(p))>0, whereQ(p) is thep-th quantile of the distribution functionF(x). In this paper, we estimate a quantile by a kernel quantile estimator when this condition is violated. We have shown that the kernel quantile estimator is asymptotically normal in some nonstandard cases. The optimal convergence rate of the mean squared error for the kernel estimator is obtained with respect to the asymptotically optimal bandwidth. A law of the iterated logarithm is also established.This research was partially supported by the new faculty award from the University of Oregon.     

凸轮实测中角度基准偏移误差的消除方法

引起凸轮测量误差的主要原因之一是实测时的角度基准与理论设计时的角度基准不一致,本文利用凸轮的一次离散实测数据,采用分段抛物线拟合函数,以角度搜索法插值得到不同角度基准下的多组测量数据．从各组测量数据与设计数据的各个最大偏差值中,找到最小值,它所对应的角度基准即为该凸轮的准确的角度基准．通过编程并在实测凸轮中验证了此方法的可靠性．     

A priori error estimates for numerical methods for scalar conservation laws. Part I: The general approach

In this paper, we construct a general theory of a priori error estimates for scalar conservation laws by suitably modifying the original Kuznetsov approximation theory. As a first application of this general technique, we show that error estimates for conservation laws can be obtained without having to use explicitly any regularity properties of the approximate solution. Thus, we obtain optimal error estimates for the Engquist-Osher scheme without using the fact (i) that the solution is uniformly bounded, (ii) that the scheme is total variation diminishing, and (iii) that the discrete semigroup associated with the scheme has the -contraction property, which guarantees an upper bound for the modulus of continuity in time of the approximate solution.

     

Optimal error estimates of a locally one-dimensional method for the multidimensional heat equation

For the multidimensional heat equation in a parallelepiped, optimal error estimates inL ₂(Q) are derived. The error is of the order of +¦h¦² for any right-hand sidef L ₂(Q) and any initial function ; for appropriate classes of less regularf andu ₀, the error is of the order of ((+¦h¦² ), 1/2<1.Translated fromMatematicheskie Zametki, Vol. 60, No. 2, pp. 185–197, August, 1996.     

一种改进的树形矢量量化编码算法

矢量量化中的一个最严重的问题是在一本码本中搜索最近码字的高计算复杂度。本文在研究树形矢量量化的基础上提出了一种改进的树形矢量量化编码算法。实验结果表明,本文提出的编码算法相对于树形矢量量化算法可大大改善峰值信噪比（ＰＳＮＲ）。     

脉冲示踪法实验误差分析

本文从理论和实验两方面分析了脉冲示踪法中脉冲时间、示踪剂输入和记录仪记录时间差、示踪剂纯度与用量和实验温度对反应器内物料停留时间分布和流动模型参数测定误差的影响,以便在实验中采取相应措施减小或消除误差,获得准确的实验结果。