An Integro-Differential Approach To Terrorism Dynamics

This article introduces integro-differential equations as a new technique to study terrorism dynamics. An integro-differential equation is a mathematical expression that contains derivatives of the required function and its integral transforms. The technique is applied to two different dynamic models in terrorism: terrorism and tourism, and terrorist innovations. In the first model the number of tourists that appears in an integral term and also in a derivative term is impacted by the number of terrorists. In the second model the integro-differential equation for terrorist innovations relates them to terrorist attacks. The article shows how to solve, analyze, interpret, and deal with integro-differential equations. Integro-differential equations shed light on aspects of the models ignored when other techniques are used. This is particularly important for the evaluation of current counterterrorist policies, as well as to the formulation of new ones.     

高速互联线的高频串扰仿真研究

为了研究PCB板上高速互联线之间的串扰,基于传输线分布参数节点导纳方程和快速傅里叶逆变换技术,仿真研究了PCB板布线间的串扰电压响应,分析了分布参数、线长度及端接阻抗对串扰强弱的影响,提出了减少串扰的措施。仿真结果表明：串扰电压值随分布电感的增加而减小,随分布电容的增加变化不明显;串扰电压值随线长增加而减小;串扰电压值随干扰线端接阻抗的增加而减小,随受扰线端接阻抗的增大而增大。     

Analysis of artillery shoot‐and‐scoot tactics

Firing multiple artillery rounds from the same location has two main benefits: a high rate of fire at the enemy and improved accuracy as the shooter's aim adjusts to previous rounds. However, firing repeatedly from the same location carries significant risk that the enemy will detect the artillery's location. Therefore, the shooter may periodically move locations to avoid counter‐battery fire. This maneuver is known as the shoot‐and‐scoot tactic. This article analyzes the shoot‐and‐scoot tactic for a time‐critical mission using Markov models. We compute optimal move policies and develop heuristics for more complex and realistic settings. Spending a reasonable amount of time firing multiple shots from the same location is often preferable to moving immediately after firing an initial salvo. Moving frequently reduces risk to the artillery, but also limits the artillery's ability to inflict damage on the enemy.     

建立颗粒流方程的推广BGK模型方法

从描述颗粒流动的推广BGK模型方程出发建立颗粒流方程。其中推广BGK模型方程的处理采用了经典分子动力论中的Chapman Enskog方法。由于建立颗粒流方程的思路简单清晰 ,且方程中各量都有明确的物理意义 ,因此易于推广     

非线性积分方程的周期解

以（Cg,｜.｜g）为相空间,研究具有无限时滞非线性积分方程周期解的存在性,利用Schauder-Tychonov不动点定理证明方程解的g一致有界性和g一致最终有界性蕴含周期解的存在性。     

混合尺寸目标电磁计算的时域伪谱/有限体积混合方法

针对单一算法对混合尺寸目标进行时域电磁分析的困难,提出一种时域伪谱(PSTD)同时域有限体积(FVTD)混合方法。FVTD可方便地分析复杂的几何结构和材料,但是难以计算电大尺寸的目标,PSTD则特别适合计算电大尺寸的规则结构,但在模拟复杂的几何结构尤其是带有曲边结构以及电大、电小共存结构时存在困难。混合方法克服了单独算法的缺点,融合各自的优势,提高了算法的求解能力和应用范围。为了减小两种算法连接边界带来的反射,采用了FVTD计算面均值的二次函数重构方法,给出了交叠网格和非交叠网格两种混合方案。数值试验表明,混合方法有较高的精度,具有时域分析混合尺寸目标电磁问题的能力。     

基于SD的信息化防御作战中兰彻斯特方程

在对信息化条件下的防御作战进程分析的基础上,增加信息因素和兵力补充速度对经典的兰彻斯特方程进行改进。通过引入系统动力学方法,构建了信息化条件下的防御作战进程的系统动力学模型,利用系统动力学方法来对改进的兰彻斯特方程进行求解。仿真结果证明了系统动力学在解决复杂兰彻斯特方程中的优越性。     

高精度差分格式WNND的构造及数值实验

基于二阶NND格式,通过引入Jiang和Shu的加权思想以及具有TVD性质的三阶Runge Kutta方法,构造了一种时间、空间均达到三阶精度的WNND格式。分别以波动方程、一维Euler方程和三维全Navier Stokes方程为例,通过对WNND格式的数值结果分析表明,WNND格式引起的耗散和波动较小,并且能够高精度地分辨场间断。     

气—固两相自由射流的粒子仿真方法

采用粒子仿真方法直接跟踪颗粒相运动轨迹,采用NND格式求解NS方程,数值模拟了气-固两相自由射流流场.计算结果表明,将粒子仿真与CFD方法相结合是研究气-固两相流动问题的有效途径.颗粒相参数变化将对气体流场产生一定影响.     

模式转换器耦合波方程组的微波网络矩阵解法

求解具有边值条件的耦合波微分方程组是研究变截面波导或弯曲波导模式转换器的基本方法。利用微波网络理论,给出了一种求解边值条件耦合波微分方程组的新方法,以简化求解过程,并使得解的物理意义更加明确。对于一个考虑了N个微波模式相互作用的耦合波微分方程组,通过分别赋予其2N个不同的初值条件并求解,可得到该方程组所描述模式转换器的传输矩阵和散射矩阵,进一步利用散射矩阵可得到给定边值条件下微分方程组的解。