Euler多项式的推广及其应用

我们借助 Apostol T.M.的思想将 Euler数和多项式作了推广 (称之为 Apostol-Euler数和多项式 ) ,得到了 Apostol-Euler数和多项式分别用第二类 Stirling数和 Gauss超几何函数表示的公式 ,最后给出了它们的一些相应的特殊情况和应用     

Poisson流形上李代数与Poisson辛李群的讨论

文章给出了Poisson流形上李括号的一些结论,并在Poisson流形P1,P2上定义了C^∞（P1）＋C^∞（P2）的{,}运算,验证了C^∞（P1）＋C^∞（P2）构成李代数,其次简单讨论了Poisson辛李群.     

蜂窝网络中基于遗传算法的信道分配

信道分配问题属于组合优化中的NP完备问题 ,为了更有效的利用频率资源 ,在遗传算法的基础上提出了一种新的信道分配方法·在信道分配中主要考虑三种限制 :同频限制、邻频限制和同位置限制·目标是得到一个用最少的信道数 ,满足话务需求和电磁兼容限制的信道分配方案·采用了最小间隔编码方案 ,利用固定遗传算子 (交叉和变异 ) ,在整个迭代过程中始终满足话务需求的要求·提出了几种遗传算子并进行了验证 ,比较结果表明选择性变异技术能得到很好的结果·对几个著名的benchmark问题进行仿真 ,结果表明 ,它对解决信道分配问题是一个非常有效的方法     

求解二维扩散方程的加权平均隐式多重网格方法

提出了数值求解二维扩散方程两种精度分别为O(τ^2 h^2)和O(τ^2 h^4)的无条件稳定的加权平均隐格式，并采用多重网格方法进行求解，从而克服了传统迭代法在求解隐格式时收敛速度慢的缺陷，提高了求解效率．数值实验验证了该方法的精确性和可靠性．     

三维水动力学模型高精度差分格式和解法研究

采用高精度差分格式对三维水动力学问题的时均化Navier-Stokes方程进行了数值模拟，进而采用广义共轭剩余法（GCR方法）求解压力泊松方程，并采用显式三级二阶Runge-Kutts格式模拟了时间步进过程。傅立叶分析表明，文中所采用的三阶迎风紧致差分格式具有较高的精度，数值实验进一步验证了上述数值模型的准确性和有效性。     

基于语义网络的方案设计过程表达与推理

从基于机械运动方案设计的表达方法必须能支持概念设计全过程的思想出发，提出计算机辅助概念设计系统必须能够表达设计方案、产生方案、产生多个方案和确定最优方案．根据方案表达方法应具备的基本功能要求，选用语义网络技术表达设计方案过程、工艺动作、机构及其相互间的关系，通过对设计方案中机构时间配合及其影响的表达和调整实现了方案设计运动循环图表达的计算机辅助化．利用基于语义网络表示的不确定性推理技术构造待求问题的语义网络片断，通过已有设计实例与设计要求的属性值与属性值、属性值与属性值域、属性值域与属性值域三者的匹配比较构造贴近度计算公式，并对工业平缝机中的挑线机构进行了机构选型．实例证明了击模型的正确、实用性．     

基于二维提升方案的可逆双正交小波变换在渐进性无损图像压缩中的应用

分析了一维(基于行、列分解和重构)提升方案的特点，从理论上指出了一维提升方案的不足之处，提出了二维(基于子带分解和重构)提升方案，并给出了CDF(1，3)双正交小波二维提升方案的具体形式，改进的提升方案弥补了一维提升方案的不足之处，不需作‘√2’因子和归一化处理，整个小波变换是可逆的、基于整数运算的、能量守恒的，减少了误差传递的机会，用该小波变换实现了快速的、渐进性的直至无损图像压缩。     

Shift visual cryptography scheme of two secret images

A new visual cryptography scheme of two secret images, which is named the shift visual cryptography of two secret images, is given. The compound function family of a general construction model is also introduced. The uniqueness and validity of this model are proved, and the minimum rows and columns for realizing the scheme are obtained. Compared with visual cryptography of one secret image, the shift visual cryptography scheme can share two secret images with the same size of pixels expansion without losing the contrast. It has randomness and various forms, and furthermore, we can also visually recover two secret images even if the two shares are different in form and color.     

A model for assessing effects of climate change on runoff in China

A model is established for assessing the effects of climate change on runoff in China based on the land surface parameterization scheme variable infiltration capacity (VIC). The entire area of China is represented by 2604 cells with a resolution of 60 km×60 km for each cell. Forcing data, soil and vegetation parameters needed by the VIC model for the entire area of China are prepared. Daily forcing data, which are obtained from 740 stations between 1980 and 1990, are interpolated to the 60 km×60 km grid system. The VIC model is run on every grid cell over the whole China, and a routing scheme is run offline with daily input of surface runoff and drainage from the VIC to get hydrograph at basin outlets. The spatial patterns of simulated runoff and mean annual precipitation are consistent very well. The results of monthly streamflow simulations over the Huaihe and Weihe River basins indicate that there is a good agreement between the observed and simulated values, and also initially indicate the rationality and feasibility of the evaluation model.     

Compact difference approximation with consistent boundary condition

For simulating multi-scale complex flow fields it should be noted that all the physical quantities we are interested in must be simulated well. With limitation of the computer resources it is preferred to use high order accurate difference schemes. Because of their high accuracy and small stencil of grid points computational fluid dynamics (CFD) workers pay more attention to compact schemes recently. For simulating the complex flow fields the treatment of boundary conditions at the far field boundary points and near far field boundary points is very important. According to authors' experience and published results some aspects of boundary condition treatment for far field boundary are presented, and the emphasis is on treatment of boundary conditions for the upwind compact schemes. The consistent treatment of boundary conditions at the near boundary points is also discussed. At the end of the paper are given some numerical examples. The computed results with presented method are satisfactory.