对流扩散方程特征线修正交替方向差分格式

特征线修正技术是解对流扩散方程的有效数值方法．将特征线修正技术与算子分裂技术相结合,把每个时间步上的高维空间问题化为若干个一维问题求解,构造了特征线修正交替方向差分格式,严格给出了稳定性和收敛性分析     

Study on the Factors to Influence Dynamic Heat - moisture Comfort of Summer Clothing Fabrics

In this paper, the factors to influence the dynamic heat - moisture comfort of summer clothing fabrics have been studied. It is pointed out that, when the wind speed outside is high, or the air permeability is very good, the sweat of human body will evaporate mainly through turbulent diffusion. Because of the rapid sweat evaporation, human body will feel cold, and then, the difference in temperature and humidity of the micro - climatic section will be very slight. On the contrary, when the wind speed outside is slow or the air permeability is unsatisfactory, the sweat of human body will evaporate mainly through molecular diffusion, and in this case, the humidity of the micro - climatic section will be depended on the hygroscopicity of the fabric, that' s to say, the better the hygroscopicity, the lower the humidity. It is difficult for pure wool fabric to loss heat because of its giving out much heat during the course of moisture - absorption in the initial stages of sweating. For pure polyester fabric,     

关于谢尔宾斯基缕垫上的扩散问题

本文利用经典输运理论中的斐克定律,介绍了谢尔宾斯基缕垫上的扩散问题,并与Gefen等人的结果进行了比较。     

一类非线性反应扩散方程的内层问题

研究了具有非线性反应扩散方程奇摄动内层问题,讨论了在适当的条件下,退化问题具有两个相交解时的外部解,并引入伸长变量,构造了问题的解的形式渐近展开式,利用微分不等式理论,得到了原初始边值问题解的一致有效的渐近解。     

半导体中拟中性漂移扩散模型的适定性

研究了半导体中拟中性漂移扩散模型的适定性,证明了其局部解和整体解的存在唯一性,并给出了几个稳态奇性解的例子．     

基于改进“自蛇”模型的图像去噪方法

根据对现有的一些偏微分方程(PDEs)去噪模型的分析,提出了一种基于"自蛇"模型的的图像去噪模型。该模型在原模型上增加一个保真项,使其在图像滤波的同时能保留图像细节信息。与各去噪模型进行比较实验,实验结果表明:使用改进的模型对图像去噪在滤除噪声的同时可以保持细节信息,应用改进"自蛇"模型进行图像去噪是一种有效的工具。     

无穷小量部分代换求极限成立的充要条件

给出了用无穷小部分代换求极限成立的充要条件,从而使无穷小代换求极限更加灵活自如．     

An aggregate sales model for consumer durables incorporating a time‐varying mean replacement age

Forecasting category or industry sales is a vital component of a company's planning and control activities. Sales for most mature durable product categories are dominated by replacement purchases. Previous sales models which explicitly incorporate a component of sales due to replacement assume there is an age distribution for replacements of existing units which remains constant over time. However, there is evidence that changes in factors such as product reliability/durability, price, repair costs, scrapping values, styling and economic conditions will result in changes in the mean replacement age of units. This paper develops a model for such time‐varying replacement behaviour and empirically tests it in the Australian automotive industry. Both longitudinal census data and the empirical analysis of the replacement sales model confirm that there has been a substantial increase in the average aggregate replacement age for motor vehicles over the past 20 years. Further, much of this variation could be explained by real price increases and a linear temporal trend. Consequently, the time‐varying model significantly outperformed previous models both in terms of fitting and forecasting the sales data. Copyright © 2001 John Wiley & Sons, Ltd.     

大时滞二阶过程内模预测控制系统设计

带有大时滞的双容过程是常见的二阶工业过程,由于过大的时滞使系统难以控制。针对一类带有大时滞的双容过程,采用内模控制系统结构,使系统具有良好的抗扰性和鲁棒牲。给出了在希望的幅值和相角裕量下控制器参数的计算方法。设计例子与仿真结果表明,根据该方法设计的系统有比较满意的稳定性和鲁棒性。     

带干扰的广义双Poisson风险模型的破产概率

将广义Poisson风险模型推广到带干扰的广义双Poisson风险模型,并利用鞅的方法得出了破产概率所满足的Lundberg不等式及其一般公式。