A posteriori error analysis of a quadratic finite volume method for nonlinear elliptic problems

In this article, we construct and analyze a residual-based a posteriori error estimator for a quadratic finite volume method (FVM) for solving nonlinear elliptic partial differential equations with homogeneous Dirichlet boundary conditions. We shall prove that the a posteriori error estimator yields the global upper and local lower bounds for the norm error of the FVM. So that the a posteriori error estimator is equivalent to the true error in a certain sense. Numerical experiments are performed to illustrate the theoretical results.     

Temperature effects on surface activity and application in oxidation of toluene derivatives of CTAB-SDS with KMnO4

The γ_cmc values of CTAB-SDS decrease from 63.67 mN/m at 10‡C to 36.38 mN/m at 90‡C, slightly lower than those of either CTAB or SDS. Correspondingly, the CMC of CTAB-SDS decreases almost by half. The increase of surface activity of CTAB-SDS can be attributed to the relatively weak electrostatic interaction at high temperature, which is supported by the increase of solubility of CTAB-SDS with rise in temperature. Catalytic effect on oxidation of toluene derivatives with potassium permanganate follows the order CTAB-SDS > SDS > CTAB. This is not caused by the dissociative effect of CTAB-SDS with low surface activity at low temperature, as seen from the fact that almost all oxidative products can be retrieved for different toluene derivatives and surfactants by mimicking the conditions of reaction. In the emulsifications of toluene derivatives at 90‡C, the time that turbid water layers of surfactant solutions take to become clear is the same as that of the catalytic effect on oxidation of toluene derivatives. Thus, it can be inferred that surfactants can improve the oxidation yields of toluene derivatives by increasing the contact between two reacting phases.     

集成电路设计产业产品创新趋势研究——国际片上系统（SOC）IP核发展现状及对策分析

基于国际集成电路设计产业的分析，系统阐述了国际SOCIP核的发展状况，指出SOC设计将是集成电路设计企业技术创新的发展方向。提出了一些国际SOCIP核发展的对策，包括口核标准化、SOC技术平台开发及加强与Foundry的合作。     

数项级数审敛的思路与技巧

本文通过典型例题的求解与评析,探讨了级数敛散性的解题思路与技巧,对学生判定数项级数敛散时经常出现的错误与问题,提出了具有针对性的解决方法。     

碳钢膏剂无孔渗硅工艺的研究

本研究用膏剂法进行无孔渗硅研究,透射电镜、电子探针和M351腐蚀仪分析证实:获得了致密、无孔隙、具有良好耐磨性和耐腐蚀性的渗硅层,并分析了渗硅层形成机理及表层疏松层以及内部孔隙成因。     

关于一类二次哈密尔顿系统在二次扰动下的极限环个数问题

本文研究了一类具有两个鞍点和一个中心的通用二次哈密尔顿向量场在二次扰动下的三参数开折，证明极限环的最小上界为２。     

合成烯丙基砜的新方法

报道一种简单、便利的一步合成烯丙基砜的新方法。     

相量法在实际生产中的应用

本文详细说明了在实际生产中应用相量法能够快速、准确地分析和排除电力系统故障。     

教学机器人实验系统的开发

本文首先介绍了教学机器人实验系统的设计思想和系统构成，然后对其工作方式及与上位机的联机操作方法作了简要的说明，最后对该系统中模拟通用机器人语言所开发的模拟机器人语言的语句及应用这种机器人语言进行编程的特色作了专门的阐述．     

A simple method improving the analyzing accuracy of circular groove guide

A simple method is introduced to improve the analysing accuracy of circular groove guide. With this method, the characteristic equation of circular groove guide is derived and its solution is given and discussed.The Project Supported by National Natural Science Foundation of P.R.China