Navier－Stokes方程的特征混合元方法的数值分析

考虑二维的一般有界区域上的Ｎａｖｉｅｒ—Ｓｔｏｋｅｓ方程的数值解问题，给出了全离散格式，证明了此格式的唯一可解性，得到了此格式数值解在Ｌ２模意义下的最优误差估计．     

The Integrated Density of States for Some Random Operators with Nonsign Definite Potentials

We study the integrated density of states of random Anderson-type additive and multiplicative perturbations of deterministic background operators for which the single-site potential does not have a fixed sign. Our main result states that, under a suitable assumption on the regularity of the random variables, the integrated density of states of such random operators is locally Hölder continuous at energies below the bottom of the essential spectrum of the background operator for any nonzero disorder, and at energies in the unperturbed spectral gaps, provided the randomness is sufficiently small. The result is based on a proof of a Wegner estimate with the correct volume dependence. The proof relies upon the L^p-theory of the spectral shift function for p?1 (Comm. Math. Phys.218 (2001), 113-130), and the vector field methods of Klopp (Comm. Math. Phys.167 (1995), 553-569). We discuss the application of this result to Schrödinger operators with random magnetic fields and to band-edge localization.     

Relative Asymptotic Efficiency of the Maximum Pseudolikelihood Estimate for Gauss–Markov Random Fields

A general version of the maximum pseudolikelihood estimate of parameters within the class of Gauss–Markov random fields is stated in a rigorous way. Its asymptotic properties, namely the consistency, the asymptotic normality, and the relative asymptotic efficiency are studied. Explicit formulas for the asymptotic covariance matrix are given, and a decrease of efficiency is proved. A numerical example is added to show that the efficiency can be improved by enlarging the range of the conditional distribution used in the estimator. This revised version was published online in June 2006 with corrections to the Cover Date.     

On Polynomials over a Finite Field of Even Characteristic with Maximum Absolute Value of the Trigonometric Sum

We study trigonometric sums in finite fields . The Weil estimate of such sums is well known: , where f is a polynomial with coefficients from F(Q). We construct two classes of polynomials f, , for which attains the largest possible value and, in particular, .     

工程项目实施过程中的造价管理

实施阶段的工程造价管理是建设工程全过程管理的重点。工程实施阶段的工程造价管理可分为招标管理、施工管理和结算管理3个环节。详细分析了这3个环节的管理内容与管理方法。     

H型群上次Laplace算子相邻特征值之差的估计

目的研究H型群G上次Laplace算子的D irichlet特征值问题。方法建立H型群G上向量场的性质,结合欧氏空间的经典方法。结果给出了H型群G上次Laplace算子D irichlet特征值问题相邻特征值之差的估计,此结果与区域的几何和G的Lie代数的第二层的维数无关。结论把欧氏空间上的结论推广到了H型群上,并在H型群情形下有所深化。     

基于二次互信息的特征选择算法

将二次互信息(mutual information)用作模式分类问题中特征选择的准则,分析了该准则在再生核希尔伯特空间中的几何意义.在二次互信息准则基础上,提出了基于Parzen窗密度估计和后向删除策略的特征选择算法PW-QMI,同时针对大规模数据集的情况给出了基于高斯混合模型的算法GMM-QMI,以减小算法的计算复杂度.通过与相关度算法和SVM-RFE算法的实验比较,证明了该算法在特征选择问题上具有更为稳定的性能.     

随机函数的多项式最佳逼近与线性回归模型的非线性推广

将泛函分析的逼近论方法运用于随机函数空间,而在此观点下,给出线性回归模型理论的非线性推广,且得到其回归(最佳逼近)系数与回归(最佳逼近)误差的强相合估计.     

基于信息优化融合的煤矿井下环境安全监测技术

针对传统的传感器监测矿井环境存在评判可靠性低、数据单一的缺点,提出一种基于多参数、两级信息优化融合的安全监测方案.该方法综合了瓦斯、粉尘、CO、风速、温度对矿井环境的影响,利用多传感器采集其参数,首先用Bayes理论对剔除了疏忽误差的同质数据源进行一级融合,形成矿井环境特征向量,然后用灰色理论进行灰色关联度分析的二级融合,根据融合后的关联度判断环境安全等级,实现对矿井环境监测参数的优化和整合.研究表明,该方法充分利用多种有效监测数据,既实现了同质数据源的优化,又从整体上考虑了异质数据源的互补性,提高了监测系统的可靠性、全面性.     

基于优化的GM(1,1)模型在我国人口预测中的应用

GM(1,1)预测模型一直是灰色系统理论研究者关注的热点.在已有灰色理论的基础上,利用“最小二乘法”确定GM(1,1)白化函数的时间响应函数中的常数c,摒弃了传统GM(1,1)把原始序列x(0)(1)作为初始条件的做法,从而构建了GM(1,1)的优化模型.最后,以我国人口总数的预测为例,进行两类预测模型的模拟精度比较,并进行了预测,得到优化的GM(1,1)模型进行预测得到的精度较高.