Diffusion-Limited Aggregation with Polygon Particles

Diffusion-limited aggregation (DLA) assumes that particles perform pure random walk at a finite temperature and aggregate when they come close enough and stick together. Although it is well known that DLA in two dimensions results in a ramified fractal structure, how the particle shape influences the formed morphology is still unclear. In this work, we perform the off-lattice two-dimensional DLA simulations with different particle shapes of triangle, quadrangle, pentagon, hexagon, and octagon, respectively, and compare with the results for circular particles. Our results indicate that different particle shapes only change the local structure, but have no effects on the global structure of the formed fractal cluster. The local compactness decreases as the number of polygon edges increases.     

基于改进SIFT算法的无人机遥感影像匹配

为解决无人机景象匹配导航及制导对匹配算法实时性要求较高的问题,对SIFT算法中的生成特征描述符环节进行改进,提出了以特征点为圆心构造同心圆环划分特征邻域的匹配算法;同时对匹配点对进行筛选,减小模型估计误差,提高精度。以大量的存在尺度缩放和角度旋转的遥感影像进行仿真,实验表明该方法在保持SIFT算法定位精度的前提下提高了算法的实时性。     

复杂网络病毒传播的局域控制研究

从复杂网络的节点路径长度范围的角度来研究病毒传播的局域控制，分析了在不同拓扑结构的复杂网络中进行局域控制的有效性.研究表明，局域控制对WS小世界网络、BA无标度网络和ER随机网络三类复杂网络均有效，但只有WS小世界网络存在零感染的控制范围最优值d=3；对于长程连边的分布存在距离偏好的Kleinberg小世界网络，随着依赖度的增大，病毒传播率临界值增加，同时局域范围控制的效果得到加强. 关键词： 复杂网络 病毒传播 局域控制 路径长度     

应变硅技术在纳米CMOS中的应用

应变硅技术具有迁移率高、能带结构可调的优点,且与传统的体硅工艺相兼容,在CMOS工艺中得到广泛地应用,尤其是MOS器件的尺寸进入纳米节点。文章综述了应变硅技术对载流子迁移率影响的机理,并从全局应变和局部应变两个方面介绍了应变硅在CMOS器件中的应用。同时,将多种应变硅技术整合在一起提升MOS器件的性能是未来发展的趋势。     

Local discontinuous Galerkin method for solving an N‐carrier system

In this article, we present local discontinuous Galerkin (LDG) method for solving a model of energy exchanges in an N ‐carrier system with Neumann boundary conditions. This model extends the concept of the well‐known parabolic two‐step model for microheat transfer to the energy exchanges in a generalized N ‐carrier system with heat sources. The energy norm stability and error estimate of the LDG method is proved for solving N ‐carrier system. Some numerical examples are given. The numerical results when compared with the exact solution and other numerical results indicate that the present method is seen to be a very good alternative to some existing techniques for realistic problems. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2011     

Local superconvergence of the derivative for tensor‐product block FEM

In this article, we shall discuss local superconvergence of the derivative for tensor‐product block finite elements over uniform partition for three‐dimensional Poisson's equation on the basis of Liu and Zhu (Numer Methods Partial Differential Eq 25 (2009) 999–1008). Assume that odd m ≥ 3, x₀ is an inner locally symmetric point of uniform rectangular partition \begin{align*}\mathcal{T}_{h}\end{align*} and ρ(x₀,?Ω) means the distance between x₀ and boundary ?Ω. Combining the symmetry technique (Wahlbin, Springer, 1995; Schatz, Sloan, and Wahlbin, SIAM J Numer Anal 33 (1996), 505–521; Schatz, Math Comput 67 (1998), 877–899) with weak estimates for tensor‐product block finite elements of degree m ≥ 3 [see Liu and Zhu, Numer Methods Partial Differential Eq 25 (2009) 999–1008] and the finite element theory of Green function in ??³ presented in this article, we propose the \begin{align*}O(h^{m+3}|\ln h|^{\frac{4}{3}}+h^{2m+2}|\ln h|^{\frac{4}{3}}\rho(x_{0},\partial\Omega)^{-m})\end{align*} convergence of the derivatives for tensor‐product block finite elements of degree m ≥ 3 on x₀. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 457–475, 2012     

基于混合算法的实时订货信息下的车辆调度优化

实时订货信息下的车辆调度是随机性车辆调度中货物需求量、需求点均不确定的情况下的车辆调度.针对该问题,本文构建了配送总成本最小的目标函数,提出了采用混合算法求解的思路.即以局部搜索法求得初始解,采用遗传算法优化初始解,并在送货时间更新后,利用禁忌搜索法求解速度快的特点改进调度方案,得到订货信息不断更新的条件下的车辆调度方案.通过实例分析,本方法既可解决电子商务条件下实时订货的车辆调度问题,也具有求解结果可靠、求解过程快速的特点.     

城镇居民非参数消费敏感度模型及应用——基于局部线性工具变量估计方法

建立了城镇居民非参数消费敏感度模型,该模型不需做任何形式假设,避免了线性及非线性模型的误设.采用局部线性工具变量方法对其进行估计,结果表明城镇居民消费敏感度是时变的,和居民收入变动保持同步,支持流动性约束假说.另外高通货膨胀时的负实际利率变动比低利率、温和通胀时造成的负实际利率变动对消费支出的冲击要大得多.因此在增加城镇居民收入,突破流动性约束瓶颈的同时,高度关注通货膨胀,使得其消费水平得到真实提高.     

地方政府竞争、重复建设及其规制政策分析

分权体制下地方政府竞争引发的重复建设和产业同构问题影响了区域经济的协调发展。本文构建了地方政府投资博弈的重复建设模型,并在此基础上探讨使地方政府行为从产业竞争转向合作的激励机制和制度安排。研究发现:在中国垂直的政治管理体制下,中央政府实施对高利润行业征税或者对低利润行业补贴或者两者并举的政策,可以降低重复建设率,且两者并举的双重激励制度效果最优。这些制度安排在保持地方政府发展经济积极性的同时,约束地方政府竞争行为,有利于区域产业体系的完善和区域经济的和谐发展。     

自适应间断Galerkin 有限元的多水平方法

本文讨论在自适应网格上间断Galerkin 有限元离散系统的局部多水平算法. 对于光滑系数和间断系数情形, 利用Schwarz 理论分析了算法的收敛性. 理论和数值试验均说明算法的收敛率与网格层数以及网格尺寸无关. 对强间断系数情形算法是拟最优的, 即收敛率仅与网格层数有关.