环丁酮热解离反应的理论研究

由于所研究反应过程涉及双自由基，用HF，MP2或B3LYP等方法难以进行过渡态的优化，研究选用多组态相互作用（MCSCF）的CASSCF方法，对环丁酮的热解离反应进行了精确理论研究，研究结果得出反应以2种反应途径进行，反应I形成C2H4和CH2CO产物，反应II形成CO和C3H6双自由基产物，这2个反应为一对竞争反应。     

非正弦功率探讨和非线性阻抗下瞬时正弦分解法

对传统电工理论中关于非正弦功率的定义及计算方法进行了探讨和分析，指出其不足，介绍了非正弦电流、功率的瞬时分析法，对正弦电压在非线性阻抗情况下的非正弦电流提出了瞬时正弦分解法，并借助于ａｂｃ－αβ坐标变换对三相对称系统中的瞬时有功、无功 电流和肯时有功、无功功率进行分析计算，同时将该分析方法在非正弦电压下的分解作了推广。     

Riesz Decomposition Theorems for Continuous-time Fuzzy Supermartingales

Compared with discrete-time fuzzy supermartingales, the structure and the properties of trajectories for continuous-time fuzzy supermartingales are more complex. This paper focuses on Riesz decomposition for continuous-time fuzzy supermartingales. The concepts of two types of Riesz decomposition (Riesz decomposition and level Riesz decomposition) are given and some necessary and sufficient conditions of that a continuous-time fuzzy supermartingale has Riesz decomposition are discussed in detail.     

非晶态材料分相机理的理论探讨

从经典的形核生长动力学和Ｃａｈｎ的调幅分解线性动力学理论出发，经数学推导得到如下结论：在分相的扩散阶段初期，按调幅分解机理进行的分相过程，其不均区域尺寸与时间的关系没有一定的规律。     

二次型在超曲面上条件极值的矩阵解法

利用矩阵理论得到了二次型在一般的二次超曲面上取得条件极值的充分条件，并结合实例用Matlab编程实现了求解过程．     

纳米Ag（Ⅰ，Ⅲ）O粉体化学沉淀法制备条件的正交试验及其光学热分解性能研究

本文首先利用正交试验确定了液相沉淀法合成纳米AgO粉体的最佳制备条件。接着研究了最佳条件下制备的纳米AgO粉体的性能。UV—vis DRS分析结果表明，反射率随着AgO含量的增加而降低，高纯度AgO在400nm-1100nm波长范围内具有较强的吸收能力。TG—DTG分析结果表明，在N2气氛下，AgO热分解为Ag2O。的温度范围为100℃—200℃，Ag2O热分解为Ag的温度范围为400℃-450℃。     

Intrinsic abnormal electromagnetic medium based on polar lattice vibration

A new class of media with abnormal electromagnetic parameters has been attracting increasing attention because of its exotic properties and potential application. Currently, typical metamaterials are mainly composed of artificially designed metallic periodic structures. However, due to the limitations of available fabrication technologies, physical size and material effects, it is difficult to realize these abnormal properties by these artificial structures in the high-frequency regime. Therefore, it is important to find materials with intrinsic abnormal electromagnetic responses. In this field, a new mechanism based on the interaction between polar lattice vibrations and electromagnetic waves has been proposed. In this paper, we review progress in this field.     

Dynamic domain decomposition method and its application on nonlinear problem

In this paper,domain decomposition method(DDM) for numerical solutions of mathematical physics equations is improved into dynamic domain decomposition method(DDDM) . The main feature of the DDDM is that the number,shape and volume of the sub-domains are all flexibly changeable during the iterations,so it suits well to be implemented on a reconfigurable parallel computing system. Convergence analysis of the DDDM is given,while an application approach to a weak nonlinear elliptic boundary value problem and a ...     

基于BEMD-Copula-GARCH模型的股票投资组合VaR风险度量研究

鉴于股票波动具有显著的多尺度特征,本文引入二元经验模态分解(EMD)与二元CopulaGARCH算法,提出一种新的VaR风险度量模型,即BEMD-Copula-GARCH模型.具体地,新BEMD-Copula-GARCH模型可分为三个主要步骤:数据分析,分风险估计和总风险集成.首先,基于二元EMD模型,将复杂且相互作用的股票对分解为若干组较为简单且相互独立的分量,以降低建模难度.其次,引入二元Copula-GARCH模型,刻画各组分量间的相互关系,以度量股票投资组合在不同尺度上的分VaR值.最后,集成各分VaR值以得出最终VaR风险度量结果.实证研究以恒生指数与上证综指为数据样本构造投资组合,结果表明:本文所构建的新模型能有效度量投资组合风险,其估计精度显著优于DCC-GARCH和Copula-GARCH等现有模型.     

基于结构纹理分解和多重网格的光流估计算法

分别针对光流计算对光照变化敏感以及运算复杂度高、迭代收敛缓慢的问题,使用一种基于ROF(Rudin-Osher-Fatemi)模型的结构纹理分解(STD)技术得到对光照变化不敏感的纹理图估计光流场,消除了光照变化产生的负面影响,并提出一种基于多重网格方法的分层处理策略.将光流计算的迭代过程分散在一系列粗细不同的网格上,在细网格上消除高频误差,在粗网格上消除低频误差,以达到加速收敛、提高光流计算速度的目的.实验结果表明,STD过程抑制了光照变化导致的负面影响,提高了光流估计精度.多重网格算法在保持优化精度的前提下,显著提高了光流计算的实时性.