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Firstly, the isotropic difference templates were introduced to approximate the differential in the ADI-FDTD method, and the weighting coefficients of difference terms were determined for implementing isotropic numerical dispersion; Then the permittivity and permeability were adjusted manually to reduce the numerical dispersion error in any directions. Therefore the simulation accuracy and efficiency can be improved effectively for time domain problems with some finite bandwidths.

该方法在ADI-FDTD方法的差分近似微分中引入各向同性差分模板，并通过确定各向同性差分的加权系数来近似实现各向同性，然后人为修正空间的介质参数来减少各个方向上的数值色散误差，因此在模拟一定带宽的时域问题时可有效提高计算精度和计算效率。

Some numerical examples are given to show that the numerical method presented is an approximation method with high efficiency and convergence.

数值计算表明本文数值方法是一种高效和收敛的近似方法。

In the paper, the researches and conclusions are:The basic theory and technique ofgeography information system, Introduce the history of the GIS technique developmentand it develops the trend, the GIS modernizes the meaning of the construction and thepurpose and the meaning of the topic researches to the our army artillery.The design ofartillerist numeric map, Make use of the soft strong graphics function of the SuperMapgeography information system, from how made the numerical map of artillery tocommence, carried on the processing and processed the piece to the artilleryappropriative paper quality diagram to manufacture the numerical map of artillery.Themold of choosing the position of artillerist and excavating the position of spacedata;Rules of space clustering analyzing and space relationship on the basis ofmathematics configuration;Choosing the path of positing convert;optimalpath arithmetic on the basis of chart theory and realize optimal path analyze.

论文研究内容有：地理信息系统的基本理论与技术，介绍GIS技术发展的历史及其发展趋势，GIS对我军炮兵现代化建设的意义和课题研究的目的及意义；炮兵地图数字化设计与制作，利用SuperMap地理信息系统软强大的制图功能，从如何制炮兵数字地图入手，对炮兵专用的纸质地图进行处理和加工件来制作炮兵数字地图；炮兵阵地选取分析模型、阵地空间数据挖掘模型的建立和挖掘过程，基于数学形态学的空间聚类分析法、空间关联规则法的挖掘模型；阵地转移的路径选择，对炮兵阵地转移路径进行分析，基于图论中的Dijkstra最优路径算法，实现转移最佳路径分析。

Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

The results of numerical simulation reveal that the resistance to liquefaction of sands increases as the angularity of particles increased, and the micro_mechanism is related to the average coordination number of sample. It also found that the numerical sand sample made from randomly mixing multiple shapes of sand can quantitatively reflect the regularity of fabric evolution of sands during liquefaction.

结果表明，颗粒棱角度越大，试样抗液化能力越强，其在细观机理上与初始平均接触数大小有关；随机混合仿真试样可以从定性角度反映实际砂土振动液化过程中的细观组构演化规律，为今后进一步的定量研究奠定了基础。

In this paper the numerical solution of Green's function of potential in 2-D arbitrary inhomogeneous media with axial symmetry has been given by using the numerical mode matching theory.

利用数值模式匹配理论，对具有轴对称的任意二维非均匀介质中位场的格林函数给出数值解。

By analyzing the reason of the numerical oscillation phenomenon and computing the temperature field in plate rolling process,it is found that numerical oscillation can be restrained effectively when the heat capacity matrix is lumped by using backward difference scheme.

近年来，许多研究人员采用有限元法分析热轧和淬火等过程中的瞬态温度场。

The control volume integration was applied to deduce the discrete expressions of the convection-diffusion equations. The staggered grid and SIMPLE algorithm were introduced to deal with coupling between pressure and velocity, and then the numerical computation expressions of such variables as fluid flow velocity and pressure were deduced. Using the backward difference method and incremental theory to discretize the governing equations for fields of chemical reaction, material structure and chemorheology, the numerical computation expressions of variables such as the monomer conversion, average molecular weight and fluid viscosity were constructed.

应用控制容积积分法导出了对流—扩散方程的离散表达式，引入交错网格技术与SIMPLE算法，实现了耦合的压力场与速度场的分离式求解，推导得到了流体的流动速度、压力等物理量的数值计算式；采用向后差分方法和增量方法，实现了化学反应场、材料结构场、化学流变场控制方程的离散，获得了反应转化率、聚合物平均相对分子质量、流体黏度等物理量的数值计算式。

Whereas analytical method and the before-mentioned numerical method have some places to improve and the determination characteristics of satellite of middle-low orbit, this paper presents a new numerical project of determination of obvious characteristics on condition that range of determination is not very long and the precision of determiantion is the meter grade, and is realized by a software.

鉴于分析法定轨和上述通常采用的数值法定轨都有各自可改进之处，本文针对一般中低轨卫星定轨的特点，在弧段不太长和定轨精度为米级的情况下，给出一种具有明显特点的数值定轨方案，且以软件具体实现了这种方案，并经受了实测资料的考验。

To assure parts' machining precision and to improve productivity, touch probe is used to inspect cylinder of parts on machining centers, thus coordinate of points on features are acquired from numerical control system by a data collecting program, and cylindricity error is calculated by computer. This method has broken the restriction of probe's macro processor that couldn't work out cylindricity error. Data saved in computer are beyond the limited memory of numerical control system, which improves operation speed.

为了保证零件加工精度和提高生产率，在数控加工中心中采用触发式零件检测测头对被加工件的圆柱面进行在机检测，并利用数据读取程序从数控系统内部提取被检测点坐标信息，在计算机内部完成圆柱度误差的计算，克服了零件检测测头自带宏程序无法对圆柱等被测特征进行误差运算的局限性；并且检测数据存储于计算机内，不再受数控系统内存小及运算速度慢的限制。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。