人口信息系统的开发及应用

目前在国内计算机应用于人口问题的研究尚不深入，管理、预测和控制脱节。作者利用莱斯里（Ｌｅｓｌｉｅ）确定性数学模型，将数学、计算机、管理等许多领域的知识有机的结合，从软件工程角度分析、设计、建立了人口信息系统（ＰＩＳ），预测误差不超过２‰。     

人口系统迁移过程的参数辨识及其仿真

本文以系统辨识为工具，提出了迁移过程定量研究的一种方法，即运用随机牛顿法于时变系统中以辨识模型迁移表参量，同时结合卡尔曼滤波技术辨识迁移过程中另一参数－总和迁移率，将这两者融为一体，形成了辨识迁移模型参量的递推算法。本文又借助微分方程的稳定性理论讨论了净迁移情形下的辨识算法的收敛性，给出算法收敛的一个充分条件。     

能量动态平衡数学模型研究

热电站燃煤锅炉是一个多输入／出全部相互关联的复杂系统，人们试过许多数学模型都难把燃烧控制搞好。本文提出的“能量动态平衡”数学模型较好地解决了燃烧过程的自动控制，已在3个热电站5台锅炉上取得显著效益。     

浅谈数学模型及其简化

该文主要讨论了数学模型与其实世界的关系；系统数学模型的基本模式：行为模式和状态变量模式以及在状态变量模式下的同构与同态系统；简要介绍了常用的模型简比方法，并提出了可以用于频域模型简化的“频带复盖法”和“灵敏度分析法”。     

软件可靠性数学模型及其应用

本文用马尔可夫型的概率模型对软件可靠性模型进行了研究，对一些模型进行了统一概括，并结合具体工程所采集的数据进行了参数估计和模型研究。     

室温变化的数学模型及其仿真

该文介绍了一种用差分方程建立的室温变化的数学模型，并用此模型对不同条件和参数的情况的室温变化进行了模拟和仿真。其结果表明，此模型有助于热力系统的试验和设计，是十分实用的。     

拟牛顿法求解化工过程数学模型

使用不需求取偏导数的拟牛顿法,求解化工过程模拟中产生的非线性方程组形式的数学模型。当未知数各分量间绝对值相差较大时,提出了改善收敛性的几种方法,即：（1）加入阻尼因子,以减少迭代值的震荡、（2）将方程适当降价;（3）将差商的绝对步长改为相对步长;（4）新迭代值超来其物理意义范围时,强制其回至其初始值。计算结果表明,与牛顿－拉夫森法相比,拟牛顿法不需求偏导数,对初值要求低,较雅可比迭代法收敛速度快,可用于求解化工过程的非线性方程组。     

多值开关级代数结点方程组及其求解

多值开关级代数可以在晶体管开关级为MOS电路建模,井已在分析与设计通路晶体管开关网络中取得了很好的效果。本文对多位开关级代数作了进一步研究,取得了若干新结果:(1)提出以(A#B)*G的形式来描述MOS管的双向开关特性;(2)提出以#范式及结点方程组来描述一个复杂的MOS开关网络的特性;(3)提出吸收定理,以简化并求解网络的结点方程组。     

Exponential stability of a mono-tubular heat exchanger equation with output feedback

This paper is concerned with stability analysis of a mono-tubular heat exchanger equation with static output feedback. The mono-tubular heat exchanger equation is exponentially stable when the input variable is identically zero. In this paper, it is shown that the C₀-semigroup generated by the closed-loop operator consisting of the mono-tubular heat exchanger equation and the output feedback law satisfies the spectrum determined growth assumption.     

Solving High-Order Boolean Parity Problems with Smooth Uniform Crossover, Sub-Machine Code GP and Demes

We propose and study new search operators and a novel node representation that can make GP fitness landscapes smoother. Together with a tree evaluation method known as sub-machine-code GP and the use of demes, these make up a recipe for solving very large parity problems using GP. We tested this recipe on parity problems with up to 22 input variables, solving them with a very high success probability.     

Iterative Methods for Linear Complementarity Problems with Interval Data

A ] and an interval vector [b]. If all A∈[A] are H-matrices with positive diagonal elements, these methods are all convergent to the same interval vector [x ^*]. This interval vector includes the solution x of the linear complementarity problem defined by any fixed A∈[A] and any fixed b∈[b]. If all A∈[A] are M-matrices, then we will show, that [x ^*] is optimal in a precisely defined sense. We also consider modifications of those methods, which under certain assumptions on the starting vector deliver nested sequences converging to [x ^*]. We close our paper with some examples which illustrate our theoretical results. Received October 7, 2002; revised April 15, 2003 Published online: June 23, 2003 RID="*" ID="*" Dedicated to U. Kulisch on the occasion of his 70th birthday. We are grateful to the referee who has given a series of valuable comments.     

Equivalence Classes,Symmetries and Solutions of Linear Third-order Differential Equations

 The subject of this article are third-order differential equations that may be linearized by a variable change. To this end, at first the equivalence classes of linear equations are completely described. Thereafter it is shown how they combine into symmetry classes that are determined by the various symmetry types. An algorithm is presented allowing it to transform linearizable equations by hyperexponential transformations into linear form from which solutions may be obtained more easily. Several examples are worked out in detail. Received February 18, 2002; revised May 10, 2002 Published online: October 24, 2002     

Solutions for the Portfolio Selection Problem with Interval and Fuzzy Coefficients

In this paper we consider portfolio selection problem with interval and fuzzy objective function coefficients as a kind of multiple objective problems including uncertainties. For this problem two kinds of efficient solutions are introduced: possibly efficient solution as an optimistic solution, necessarily efficient solution as a pessimistic solution. Investigating the properties of two efficiency conditions by means of preference cones and feasible region, we discuss that the two kinds of solutions can be identified with the sets of combinations of lower or upper bounds of intervals. This revised version was published online in June 2006 with corrections to the Cover Date.     

Numerical Methods for Euler Equations with Self-similar and Quasi Self-similar Solutions

Some problems of Euler equations have self-similar solutions which can be solved by more accurate method. The current paper proposes two new numerical methods for Euler equations with self-similar and quasi self-similar solutions respectively, which can use existing difference schemes for conservation laws and do not need to redesign specified schemes. Numerical experiments are implemented on one dimensional shock tube problems, two dimensional Riemann problems, shock reflection from a solid wedge, and shock refraction at a gaseous interface. For self-similar equations, one-dimensional results are almost equal to the exact solutions, and two-dimensional results also exhibit considerable high resolution. For quasi self-similar equations, the method can solve solutions that are not but close to self-similar, i.e. quasi self-similar, and this method can also achieve very high resolution when computing time is long enough. Numerical simulations to self-similar and quasi self-similar Euler equations have important implications on the study of self-similar problems, development of high resolution schemes, even the research for exact solutions of Euler equations.     

论校园网的故障隐患与对策

校园网络一旦发生网络故障,涉及面广而且损失严重。经验证明,大多数故障原因是基于现存的校园网故障隐患引发的．因此必须要尽快普查校园网络的各种故障隐患,并制定合理的、有针对性的应对策略,不断降低校园网络的故障率。