中子与90,91,92,94Zr反应的理论计算和分析

根据中子与天然Zr及其同位素反应的总截面,去弹截面和弹性散射角分布的实验数据,得到一组普适的光学模型势参数;应用得到的光学模型势参数,光学模型,Hauser-Feshbach理论,预平衡反应的激子模型和扭曲波玻恩近似理论,系统计算和分析了中子与^90,91,92,94Zr反应的非弹散射角分布和双微分截面,理论结果与实验很好的一致.     

Unification of basic and composite nondifferentiable optimization

There are two main classes of iterative methods in nondifferentiable optimization (NDO). In thebasic NDO, the information is limited to the objective function and at least one element of its subdifferential, while in thecomposite NDO, the objective function is split into a sum of a smooth and a nonsmooth function. Our work unifies these two approaches for benefiting of their respective advantages.     

一类抛物型方程初值问题的随机数值算法

本文引入了求解二阶拟线性抛物型微分方程初值问题的一类新的数值算法一分层方法,这种数值方法是通过弱显式欧拉法离散其方程解的概率表示而得到的,相应地给出了该分层方法的收敛性结果.此外,还构造了基于插值的数值算法,最后提供了数值实验,得到的数值结果验证了获得的算法的精确性和有效性.     

On the choice of approximations in direct problems of nozzle design

Two problems are considered: the design of a supersonic nozzle with a uniform exit characteristic and the design of a subsonic nozzle part with a plane (straight) sonic line in the minimum cross section. It is shown how the choice of a nozzle profile approximation affects the direct solutions to variational gas dynamics problems. The nozzle profile is described by polynomials or splines (quadratic, cubic, rational). The varied variables are the profile’s expansion coefficients in terms of basis functions or the parameters to be interpolated. It is shown that a priori information on the monotonicity of the desired profile improves the efficiency of the solution.     

干涉显微镜中相移误差分析

相移误差是影响干涉显微镜测量表面形貌精度的主要因素之一。介绍了四帧算法、五帧算法、四帧免疫算法、五帧免疫算法的原理和计算公式 ,并对其特点进行了分析比较。利用自行研制的带旋转检偏器的干涉显微测量系统 ,分别用四种算法对Ra=0 35μm和Ra=0 .0 9μm粗糙度样块进行了实测。结果表明 ,五帧算法的重复测量精度优于0 5nm ,五帧免疫算法的重复测量精度优于 0 3nm。同时对在普通干涉显微镜上进一步提高其测量精度做了初步探讨     

Weighted Maximum Over Minimum Modulus of Polynomials, Applied to Ray Sequences of Padé Approximants

Let a≥ 0 , ɛ >0 . We use potential theory to obtain a sharp lower bound for the linear Lebesgue measure of the set Here P is an arbitrary polynomial of degree ≤ n . We then apply this to diagonal and ray Padé sequences for functions analytic (or meromorphic) in the unit ball. For example, we show that the diagonal \left{ [n/n]\right} _n=1 ^∞ sequence provides good approximation on almost one-eighth of the circles centre 0 , and the \left{ [2n/n]\right} _n=1 ^∞ sequence on almost one-quarter of such circles. July 18, 2000. Date revised: . Date accepted: April 19, 2001.     

热晕瞬态效应的数值模拟

根据瞬态四维（４Ｄ）热晕程序，研究了激光大气传输中热晕瞬变效应及如何过渡到等压近似下的热晕状态，并与等压近似下４Ｄ热晕程序计算结果作了对比，在大约四倍流体力学时间，瞬态４Ｄ热晕程序计算结果逼近等压近似下的结果；另外，还作了相位补偿计算，对光强每平方厘米几千瓦的情况，在理想的自适应光学系统动力学条件下，瞬变阶段的热畸变能相当有效地实时补偿。     

体全息存储中几种软件降噪方法的综合使用

针对体全息存储系统中常见的几种噪声源 ,即大尺度噪声、像素间干涉噪声以及突发性随机噪声的特点 ,分别采用减背景、页内均衡化和所罗门编码三种软件方法予以补偿。在实验中 ,通过将三种方法有机地结合在一起 ,获得了明显的降噪效果 ,误比特率由初始的 1 0 - 2 降低到 1 0 - 4以下。     

Design and optimal tuning of nonlinear PI compensators

In this paper, linear time-invariant single-input single-output (SISO) systems that are stabilizable by linear proportional and integral (PI) compensators are considered. For such systems, a five-parameter nonlinear PI compensator is proposed. The parameters of the proposed compensator are tuned by solving an optimization problem. The optimization problem always has a solution.Additionally, a general nonlinear PI compensator is proposed and is approximated by easy-to-compute compensators, for instance, a six-parameter nonlinear PI compensator. The parameters of the approximate compensators are tuned to satisfy an optimality condition. The superiority of the proposed nonlinear PI compensators over linear PI compensators is discussed and is demonstrated for two feedback systems.     

Polynomial approximation of functions with given order of thekth generalized modulus of smoothness

The problem of approximation by algebraic polynomials is considered on function classes characterized by the value of thekth generalized modulus of smoothness defined by the Jacobi generalized shift operator. Translated fromMatematicheskie Zametki, Vol. 63, No. 3, pp. 425–436, March, 1998.