AN A.D.I.GALERKIN METHOD FOR NONLINEAR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION USING PATCH APPROXIMATION

An A. D. I. Galerkin scheme for three-dimensional nonlinear parabolic integro-differen-tial equation is studied. By using alternating-direction, the three-dimensional problem is reduced to a family of single space variable problems, the calculation is simplified; by using a local approxima-tion of the coefficients based on patches of finite elements, the coefficient matrix is updated at each time step; by using Ritz-Volterra projection, integration by part and other techniques, the influence coming from the integral term is treated; by using inductive hypothesis reasoning, the difficulty coming from the nonlinearity is treated. For both Galerkin and A. D. I. Galerkin schemes the con-vergence properties are rigorously demonstrated, the optimal H~1-norm and L~2-norm estimates are obtained.     

一类可靠性模型解的渐近稳定性

研究一个可靠机器，一个不可靠机器和一个缓冲库构成的系统。通过研究相应算子的谱特征得到该系统解的渐近稳定性。     

B(X)上保持算子拟仿射性或值域稠性的线性映射

设X和Y是无限维的复Banach空间,Φ是从B(X)到B(Y)保单位的线性满射.本文证明了Φ双边保算子的拟仿射性当且仅当Φ为同构或反同构;Φ双边保算子的值域稠性当且仅当Φ是同构.     

赤潮生消过程中的水体固有光学性质分析

在珠江口海域海洋光学浮标实验中获取一次聚生角毛藻赤潮生消过程的水体光学数据和相应的生化数据.利用该数据,分析了赤潮生消过程中水体光谱吸收和后向散射等光学性质的时间序列变化.研究发现,在赤潮生消过程中,浮游植物色素、非藻类颗粒物以及黄色物质等水体组分吸收变化显著,赤潮爆发期各组分光谱吸收增强并达到最大值,赤潮消亡期各组分...     

增大夏克-哈特曼波前传感器动态范围的算法研究

为了保证夏克-哈特曼波前传感器具有高灵敏度的同时又具有较大的动态范围,提出了一种能够有效增大传感器动态范围的数据处理方法光斑归位法。该方法使不规则的光斑回归到各自原来的位置,形成一个规则的光斑阵列,找到光斑阵列中某个光斑与微透镜的匹配关系,进而找到所有的光斑与微透镜的匹配关系。该方法的优点在于光斑不需要被限制在子孔径内且在不增加硬件等其他辅助条件下能够有效地增大夏克-哈特曼波前传感器的动态范围。实验验证了光斑归位法的正确性和可行性,结果表明,光斑归位法是正确的且采用该方法的动态范围比传统算法的动态范围提高了25倍以上。     

Organocatalytic asymmetric allylic alkylation of sulfonylimidates with Morita-Baylis-Hillman carbonates

The asymmetric allylic alkylation reaction of sulfonylimidates with various Morita-Baylis-Hillman (MBH) carbonates was accomplished by the catalysis of commercially available cinchona alkaloids catalyst (DHQD)2AQN.The corresponding allylic alkylation products were obtained in good yields with high stereoselectivities (up to 99% ee,89:11 dr).     

最小费用最大双流

本文根据一个实例建立了在容量－费用双流网络中求最小费用最大双流的模型，提出了最小费用最大双流和双流增量网络的概念，找出并证明了最小费用双流的充要条件，最后给出该模型的一个算法并估计了算杂性。     

保偏光纤精确定位方法的研究

本文简要回顾了现有的保偏光纤方位角定位方法,在实用性较强的POL法基础上,提出了POLM方法.用熊猫光纤实测表明它可提高定位精度到1°以内,并显著增强测量稳定性与调整容差,从而显示出极强的实用性.     

基于光总线的无阻塞IP交换网络的工程实现

本文提出并实现了一种应用于路由器的基于光总线的无阻塞IP交换网络,该交换网络采用基于光的三平面负荷分担的总线结构,彻底克服了高速电背板工程实现的一系列难题。采用三平面负荷分担的全光总线交换网络结构,一方面有利于降低路由器成本,另一方面,也是出于系统冗余设计的考虑。该交换网络应用于国家“863”计划重大课题核心路由器－OmniRouter880的研制,样机验收测试结果表明基于光总线的无阻塞IP交换网络具有良好的性能,达到了课题指南的要求。     

A NEW METHOD FOR INCREASING PRECISION IN SURVEY SAMPLING

1 The Proposed MethodWhen the same population is 8amPled repeatly, one lnny be unwilling to provide the sametype of information time aller time. In order to increase the precision of such suyveys and savemoney statisticians suggested the saInPle rotation method (cL, Cochran (1977) or Feng, Niand Zou (1998)). This method is very useful and l1as been developed by Sen (1972, 1973) andFen g and Zou (1997). In this paper, we propose a new n1ethod--a method combining samplingwith prediction fo…