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In this paper, a high order accuracy difference method is presented for solving unsteady convection diffusion equation by using Implicit Perturbation Finite Difference scheme. Firstly, we use the steady convection diffusion equation, the constant coefficients of this equation are expanded to power series of grid-spacings, then the high-order Perturbation Finite Difference scheme is obtained by determining the coefficients of the power series. Put this scheme on unsteady convection diffusion equations and modified it, the IPFD scheme is constructed.

本文利用摄动差分思想，对定常对流扩散方程中的空间微商系数进行摄动展开，展开幂级数系数通过消去摄动格式修正微分方程的截断误差项求出，由此获得方程的隐式摄动差分格式，将此方法应用于非定常对流扩散方程，并加以修正，得到该方程的修正隐式摄动差分格式。

With an additional terminal cost in the standard finite horizon objective functional and a terminal inequality constraint,the prediction is expanding quasi to infinity but the control profile to be determined by on-line optimization is only of finite horizon.

开环优化问题含有附加的终端代价项和终端约束条件，这样预测时域延伸至准无限，而需在线优化获得的控制函数仅为有限时域。

By extending the concepts of supremum and infimum in real space to the casein any finite-dimensional Euclidean space a weak supremum set and infimumset theory with respect to cones for the set in finite-dimensional Euclideanspace is developed,and several similar properties to the set in real space are ob-tained,with the concepts of this weak supremumset,w-D-conjugate maps and w-D-subdifferentials theory for the point-to-setmap are developed,and its several properties and its relationships with weakefficient solutions of the multiobjective programming are studied.

推广实空间中上、下确界的概念至任意有限维欧氏空间，建立了有限维欧氏空间中集合的锥弱上、下确界集理论，得到了与实空间中十分相似的性质。借助于这一理论，应用上、下确界的概念，给出了点集映象的w-D-共轭映象及w-D-次微分理论，并研究了它们的若干特性及其与弱有效解之间的关系，此外还讨论了弱鞍点问题。

For the condensed dynamic stiffness matrix in finite models which have finite number of freedom and any dynamic stifmess matrix of infinite system, the element of them is a transcendental function of eigenfrequency. And therefore transcendental eigenvalue problem is needed to be solved in order to get the natural frequency and modes of vibration.

对于有限自由度系统的缩聚动刚度矩阵和无限自由度系统的任何动刚度矩阵，其元素是频率的超越函数，因此求解结构固有频率及其振型归结为求解超越特征值问题。

The micro-indentation results show that both theories for finite and infinitesimal deformation agree well with experimental data by suitably chosen material lengths. The results for fracture show that the difference between finite and infinitesimal deformation only exists in the vicinity very close to crack tip.

结果显示通过改变材料常数大变形和小变形都可以和微压痕实验结果吻合好，大小变形理论在断裂问题上的区别仅仅存在于非常靠近裂纹尖端处。

It tries its best to avoid using the finite difference grid, so that it can eliminate the artificial dispersion which arises from the injudiciously finite difference grid.

第四章提出了一种交替方向区域对分的FCM，用于模拟二维多孔介质中的生物降解过程，它试图尽可能的避开使用有限差分网格，从而消除由于网格选取的不合适而导致的人工弥散现象。

During the design process, we employ the elastoplastic theory and ANSYS 10.0 (a large-scale finite element analysis software) to analyze the stress status and bearing capacity of the joint under load. Also, we get the stress status and bearing capacity of the inner components based on the nonlinear finite element contact analysis.

在对节点构造进行设计的过程中，以弹塑性理论为基础，运用大型有限元分析软件ANSYS10.0对节点在荷载作用下的应力分布和承载力进行了非线性有限元分析；同时对轴承装配部分进行了接触分析，得到了接触状态下节点内部各零件的受力状态和极限承载力，并根据分析结果不断优化节点构造。

At present the numerical simulation of electromagnetic method of finite difference method, finite element method, boundary element law, integral equation method, and so on were commonly used in the exploration.

目前电磁法勘探中常用的数值模拟方法主要有：有限差分法、有限单元法、边界单元法和积分方程法等。

In the forward aspect, the advantages and disadvantages of such methods as finite difference, finite element and integral equation as well as their development trend are discussed. In the inversion aspect, mainly linear and nonlinear inversions are analyzed, with a detailed discussion on the linear inversion methods both in the time domain and in the frequency domain as well as a prediction of their future development trend.

正演方面主要讨论了有限差分、有限元和积分方程法，分析了各种方法的优缺点、适用范围，并指出了未来发展趋势；反演方面主要讨论了线性反演和非线性反演，根据井间电磁波成像的性质，对时间域和频率域线性反演方法分别做了详细论述，并给出了未来发展趋势。

Firstly, the study of the mechanical model. The three-dimensional finite element model is established, and it is condensed into M-dof interlamination structural model. The structural dynamic analysis is implemented by use of three-dimensional finite element model and M-dof interlamination structural model.

本文通过严谨的数学推导，得出"力学不耦合"的超高层结构顺风向和尾流旋涡干扰引起的横风向振动随机响应公式，并编制了相关计算程序，深入研究了应用随机振动理论进行结构风振反应分析的方法。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。