问题求解

In this paper, complete eigen-values salution method, characteristics of multiple roots and eigen-functions calculation are described.

重点介绍了在求解二维切口问题完备特征根方面的一些进展，包括特征根的求解方法、特征根的重根探讨以及相应的特征函数计算，这一问题基本上得到了解决。

First, the discrete method of separation of variables is applied to the numerical solution of a model problem-the interface problem.

本文首先以一个模型问题——带内界面的二阶椭圆型方程为例，提出了一种求解带奇性的椭圆型方程的离散分离变量方法，并把这种方法用于复合弹性材料问题的求解。

A numerical method in time domain on skin current of ground laying shielded cable excited by electromagnetic pulse is studied.

为克服传输线理论方法求解电磁脉冲电缆耦合问题存在的不足，对电磁脉冲电缆耦合问题进行了时域求解方法的研究。

The results show the high accuracy quality of spectral element method and the stability of Newmark time integral method. Then some computational parameter is changed in example one such as the subdivision style of computational domain, time step length and such on. Some important conclusions and strategies for spectral element method with Newmark integral method for computational aeroacoustics can be given. The feasibility of spectral element method for computational aeroacoustics is verified.

计算结果表明谱元方法的高精度及Newmark时间积分方法的稳定性，并改变算例的计算参数，例如计算区域剖分方式、时间推进步长等进行了计算，得出了一些重要结论，为使用谱元方法结合Newmark积分求解气动声学问题积累了重要的经验，最终证明了谱元方法求解计算气动声学问题的可行性。

At the same time,select three issues carries on solve by the Year 2008's ACM\ICPC finals:air condition machine is description the elbow of air conditioning installation problem,limited the quantity and types of air-conditioning pipe under the conditions of the installation of air-conditioning method;Password suspects,this problem is giving a system password letter combinations possible combinations and length under the conditions,to design an algorithm to calculate the correct arrangement of the password;Steam roller,this problem giving the situation of urban streets,drive steam roller from one point to another point of the shortest path,is used by how many time.

同时，选取了2008年度ACM\ICPC总决赛的三道题目进行求解：空调机器这一题描述的是对空调管的安装问题，在限定空调管数量和型号的条件下空调管可能的安装方法；密码嫌疑这一题求解的是在给定一个系统密码的可能的字母组合和长度的条件下，设计一个算法以算出正确的密码的排列方式；蒸汽压路机这一题是在给出城市道路情况的条件下，求两点间压路机走完最短路径总共所花费多少时间的问题。

NLS-NCG is an algorithm whose line search step length is determined by a formula instead of line search.

NLS-NCG是用一个固定的公式来计算搜索步长，而不用迭代产生搜索步长，降低了求解问题时的计算量，特别适合求解在计算搜索步长消耗很长时间的问题。

A lagrangian relaxation heuristic algorithm based on subgradient optimization is applicated to solving the practical scale problems. The solution algorithms solving sub-problems are also listed.

提出了求解实际规模问题的基于次梯度优化的拉格朗日松弛启发式算法，并给出了各子问题的求解算法。

In this paper the characters of MA model and the trust region method are analyzed, a subproblem with MA model and trust region technique is presented, and a projected gradient method is use.

本文分析了MA模型和信赖域方法的特点，构造了MA模型信赖域子问题，并利用投影梯度法进行求解，在此基础上提出了一个新的求解非线性规划问题的MA模型信赖域方法。

In the symplectic geometry space, which consist of the original variables, the displacement, electric potential, magnetic potential, and their duality variables, lengthways shearing stress, electric displacement and magnetic flux, the magnetoelectroelastic solids problems are led into symplectic solution system, so the effective methods of mathematical physics like the separation of variables and symplectic eigenfunction expansion can be employed to solve the problem.

在由原变量-位移、电势和磁势以及它们的对偶变量-纵向的剪应力、电位移和磁感应强度分量组成的辛几何空间，将电磁弹性固体问题导入辛求解体系，从而使有效的数学物理方法如分离变量法及辛本征向量展开法可以用于该问题的求解。

Some new methods are provided. The glass-block typesetting optimization system and its optimization algorithm are designed and realized.

本文对问题的求解提出了一些新的实现方法，为类似问题提供了一条新的求解途径；设计并实现了玻璃排版优化系统及系统优化算法。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。