一类刚性系统基于线性多步法的并行计算方法

针对一类分解的刚性系统,提出了一类并行组合方法.该方法将系统分割与方法分割的并行化方法相结合,采用显式线性多步方法求解非刚性子系统,采用隐式线性多步方法求解刚性子系统.讨论了方法的相容阶、收敛性和数值稳定性.数值试验结果表明,该方法对于求解分解的刚性系统是可行的.     

稳态微波功率放大／合成器电路及其理论

提出了一种利用魔Ｔ加９０°相移器构成微波稳态功率放大／合成器的新方法，它综合了９０°Ｓｈｏｒｔ－ｓｌｏｔ混合电桥和１８０°匹配魔Ｔ功率放大／合成器电路的优点，对该电路系统在稳定放大／合成模式下的小信号和大信号特性进行了全面的理论分析，得到了许多对实际工程有意义的结论。     

矩形区域上两种基本变换的可拓域与稳定域

本文在矩形域上分析了移动变换与扩缩变换的若干性质,研究了它们的可拓域及稳定域。     

合金平衡相图的数字化处理

讨论了合金相图信息的存储、处理,用VB 6.0编程工具作为系统开发平台,建立了合金平衡相图的数字化处理系统软件。该系统软件用于合金平衡相图中相和组织组成物的定量计算和分析,解决了合金性能分析中由数据查询、数据处理所带来的低工作效率问题,在工程材料领域具有推广价值及应用前景。     

Competition and evolutionary stability of plants in a spatially structured habitat

We modelled the population dynamics of two types of plants with limited dispersal living in a lattice structured habitat. Each site of the square lattice model was either occupied by an individual or vacant. Each individual reproduced to its neighbors. We derived a criterion for the invasion of a rare type into a population composed of a resident type based on a pair-approximation method, in which the dynamics of both average densities and the nearest neighbor correlations were considered. Based on this invasibility criterion, we showed that, when there is a tradeoff between birth and death rates, the evolutionarily stable type is the one that has the highest ratio of birth rate to mortality. If these types are different species, they form segregated spatial patterns in the lattice model in which intraspecific competitive interactions occur more frequently than interspecific interactions. However, stable coexistence is not possible in the lattice model contrary to results from completely mixed population models. This clearly shows that the casual conclusion, based on traditional well mixed population models, that different species can coexist if intraspecific competition is stronger than interspecific competition, does not hold for spatially structured population models.     

关于完全主正阵的进一步讨论

给出完全主正阵的特性描述,得到几个命题,建立了关于正稳定两个结果。     

抛物型方程周期问题的高精度精细积分法

对于抛物型方程（δ/δt-δ^2/δx^2)^2u≡δ^2u/δt^2-2δ^3u/δtδx^2 δ^4u/δx^4=0的初始值与周期边值问题，提出了局部截断误差阶为O(Δx^4)的精细时程积分法．由于这种方法是半解析方法,在时间域上可以精确计算．所以本方法不仅精度高，而且还绝对稳定．文末的数值算例进一步表明，精细积分法对大的时间步长和长时间计算均有效．因此是一种很实用的方法．     

稳定分布及其在GARCH中的运用

用稳定分布的特征函数和Fourier变换得到稳定分布的参数估计和概率密度．应用稳定分布对上证交易所的综合指数进行分布拟合，并建立了GARCH-稳定模型，探讨稳定分布对GARCH模型的影响．     

Monitoring for Increases in Process Variance

Process variation is made up of a wandering mean (signal) and the variation of the process around this wandering mean (noise). The paper advocates a new process monitoring method that uses various forms of moving variances to signal changes in process noise or variance. The monitoring plans are compared to the current approaches in terms of their average run length properties.     

企业人才招聘中政府、企业及女性人才博弈过程分析

随着女性受教育水平的提高,女性人才数量不断增加,女性人才就业及作用的发挥已成为研究热点.为探究企业招聘中政府、企业及女性人才的博弈过程,在分析政府、企业和女性人才不同策略下各自收益及成本的基础上,分别运用博弈论相关理论研究三方的博弈关系.研究结果显示,政府、企业、女性人才在三种情况下存在进化稳定策略,政府“不监管”,企业“平等对待”两性应聘者,女性人才“获得工作”是最理想的博弈结果.政府强化观念上的引导,女性人才提升自身竞争能力、维权意识及客观定位将促使企业树立公正平等的招聘理念,进而实现最理想的稳定博弈结果.