数值算法

First of all, the basis of the MRTD method is studied. In Chapter 2, wavelets analysis and multiresolution analysis, the mathematical basis, are introduced, and the characteristics of the wavelets basis functions, including orthonormality, compact support, multiresolution and so on, are also introduced. The advantages of the applications of these functions to the numerical electromagnetic calculations are discussed. In Chapter 3, the algorithm basis of MRTD: the combination of the wavelets and the method of moments is studied. This Chapter shows that the MoM based MRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

First of all, the basis of the MRTD method is studied. In Chapter 2, waveletsanalysis and multiresolution analysis, the mathematical basis, are introduced, and thecharacteristics of the wavelets basis functions, including orthonormality, compactsupport, multiresolution and so on, are also introduced. The advantages of theapplications of these functions to the numerical electromagnetic calculations arediscussed. In Chapter 3, the algorithm basis of MRTD: the combination of the waveletsand the method of moments is studied. This Chapter shows that the MoM basedMRTD method is the combination of wavelets and MoM using Galerkin sampling.

文中首先讨论了 MRTD 的建立基础，其中第二章介绍了其数学基础－小波分析及多分辨分析，讨论了小波基函数的性质包括正交性、紧支撑性、多分辨性等及其应用于电磁场数值计算的优势；第三章讨论了其算法基础－小波与矩量法的结合，阐述了以矩量法作为算法基础，以 Galerkin 离散采样的方式与小波函数结合而产生了 MRTD。

It is pos ible to solve some particular types of integral linear programming problems by virtue of LCS-orientated algorithm or microprocessor.

本文用字编码函数的方法，得到求解LCS的数值模型，证明可用求解Tomograph问题的算法和硬件求解LCS问题，以及可以用LCS的算法和硬件求解某种类型的整数规划问题。

In order to efficiently handle multi-constraints, a vector function inner product is defined in the zero level set and a gradient projection method is constructed, and the necessary condition satisfied by the optimal solution is proved.

在这些研究的基础上，提出了适用于一般目标函数、多材料、多约束和多载荷工况的结构拓扑优化的水平集算法4.1，并给出了刚性结构、柔性机构和复合材料微结构设计算法5.1、6.1和7.1，以及大量的数值算例。

A practical simulation example, which 155HP-1 robot performs pick and place bullet task, is given, and the gradient projection method with balanced scale factor proposed above is verified to be a general feasible method.

利用所构造的均衡比例因子梯度投影算法对155HP-1装填机器人的搬运装填弹丸作业进行了数值仿真计算，验证了均衡比例因子方法是一种通用可行的算法。

In the thesis we mainly discuss the algorithms and theory of direct searchmethods,especially of the quadratic tridiagonal interpolation model method.

本文主要研究了直接搜索方法的算法和理论，特别研究了二次三对角插植模型算法，得到了丰富的理论和数值结果。

A numerically stable recursive set membership state estimation algorithm for linear discrete-time systems with unknown but bounded noises is proposed, where ellipsoidal sets are adopted to describe the state uncertainties and to bound the process and observation noises.

针对带有未知但有界噪声的线性离散时间系统，提出了一种数值稳定的集员状态估计递推算法。算法采用椭球集合来描述状态的不确定性和噪声的界限。

After finishing holistic analyses, and considering the specific and relative research on database technique"s application in the remote structural collaborative experiment, this thesis explores and discusses that the proposed database organization scheme can promote the efficiency of the data"s reposting in the Remote Structural Collaborative Experiment, the efficiency of the remote data exchange, and puts out the improving design compared with the NCREE system, that is to use middleware to realize the separation of the experimental process and DBMS and to set up buffer pool to solve the problems, such as to solve network replacement by getting back the experiment.

在完成了整体分析设计之后，针对数据库技术在远程结构协同实验中的应用作了具体的相关研究，探讨了本文提出的数据库组织方案在远程协同实验中可以提高数据入库效率以及远程数据交换效率以及对比NCREE系统设计提出了改进的设计思想，即采用中间件以实现试验进程与DBMS分离以及设立缓冲池以解决网络复位而要恢复试验等问题，并且还研究了在协同实验中分析中的常用数值积分算法，并着重探讨分析了算子分裂算法。

Moreover, a rounding error analysis of the symplectic Lanczos method is given for the Hamiltonian eigenvalue problem.

寻找一个稳定的有效的保结构的求解Hamilton特征问题的算法以及如何稳定有效地求解大规模Hamilton矩阵特征问题的辛Lanczos算法一直是数值界迫切需要研究的课题。

Numerical simulations show that this self-adjusting algorithm is more flexible and effective than other existing algorithms, and more ideal results can be gained in a much shorter time.

数值模拟结果表明，自调整方法是一种高效灵活的专用于设计一维光学超晶格的优化算法，与其他优化算法相比，自调整方法能在更短的时间内搜索出更理想的优化结果。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。