Hermite梯度重构核近似配点法及其在功能梯度材料板的静力分析中的应用

由于直接配点法在求解边值问题时边界上的求解精度较低,本文提出了Hermite梯度重构核近似配点法（HGCM）来改进边界求解精度。重构核近似是无网格法中一种常用的近似函数,但是其在求解高阶导数时格式复杂且非常耗时。HGCM采用梯度重构核近似构建形函数的任意高阶导数,提高了计算效率;通过Hermite配点法构建离散方程,提高了边界求解精度。这种方法在求解对应变系数四阶偏微分方程的功能梯度材料板的静力问题时精度高,计算效率高,并可进一步推广应用于高阶偏微分方程描述的边值问题。     

AN EFFICIENT SEQUENTIAL DESIGN FOR SENSITIVITY EXPERIMENTS

In sensitivity experiments, the response is binary and each experimental unit has a critical stimulus level that cannot be observed directly. It is often of interest to estimate extreme quantiles of the distribution of these critical stimulus levels over the tested products. For this purpose a new sequential scheme is proposed with some commonly used models. By using the bootstrap repeated-sampling principle, reasonable prior distributions based on a historic data set are specified. Then, a Bayesian strategy for the sequential procedure is provided and the estimator is given. Further, a high order approximation for such an estimator is explored and its consistency is proven. A simulation study shows that the proposed method gives superior performances over the existing methods.     

基于公式真度的公式集约简

基于经典命题逻辑的真度理论,讨论了经典命题逻辑系统当中公式集的约简问题。提出了真度约简及α-真度约简的概念,为公式集的约简提供了一种可行的操作方法。     

Equation of State and Elastic Constants of Compressed fcc Cu

First-principles calculations of equation of state and single-crystal elastic constants of copper are carried out up to twofold compression. The Helmholtz free energies are calculated using the quasi-harmonic phonon approach based on density-functional theory within both the local density approximation and the generalized gradient approximation （GGA）. We find that the results calculated within GGA agree better with the experimental measurements in overall. The equation of state and the zero-pressure single-crystal elastic constants are close to the experimental values.     

激光大气闪烁的高频谱特性

 采用三波长闪烁仪进行了大气边界层的光传输实验，结果表明：在相同的传播条件下，非平面波激光大气闪烁功率谱的高频部分与波长存在着一定的关系，功率谱无标度区间的斜率即标度指数是一个与湍流强度、波长等因素有关的函数，在满足弱起伏的条件下，标度指数一般与波长呈负相关，波长愈长则标度指数愈小，频谱下降的趋势愈快；波长愈短则标度指数愈大，频谱下降的趋势愈慢。     

关于β稳定线公式的一个评注

指出β稳定线公式应在理论框架下通过自洽的计算决定.这与传统的β稳定线公式略有区别.本文还对在Hartree-Fock近似下的β稳定线公式给出了一个评注.     

拟相似算子近似点谱的连通分支

讨论了Banach空间X上两个算子T，S拟相似时，近似点谱σα(T)的每一个连通分支与σα（S）以及σs(S)的相交关系，证明了σα(T)的每一个连通分支与σs(S)的交非空，并且给出了σα（T）的连通分支与σα（S）交非空的充要条件。     

用来激励高频超声换能器的电激励源

讨论了超声换能器的几种激励方法，分析了三种常用激励方法在激励高频超声换能器时的特点及其同局限性，我们雪崩ＭＡＲＸ电路制作的单极窄脉冲能地激励率高达１００ＭＨｚ的换能器并取得了较好的结果。