数值方法

A method is proposed which modified the forming surface of element group in the Multi-point forming by iterative ways according to the numerical simulation results.

基于数值模拟的结果，提出了修正基本体群成形面补偿回弹，获得精确形状零件的方法，并描述了该方法的主要步骤。

The numercial simulation has been carried out, and the experimental results show that this method has been improved significantly comparing with the traditional one in nonlinear optics. Secondly, a second order system of semilinear elliptic equations, which comes from a mathematics model of the electric potential distribution of a media surrounded with the protein, is transformed into a variational problem, the existence of solution of it is proved by using variational principle and Trudinger—Moser inequality, and the relation between the solutions of variational problem and the solutions of its dual problem is obtained.

首先，讨论了非线性光学中的二次谐波产生的耦合方程组，利用变分法证明了耦合方程组非平凡解的存在性，然后进行了数值模拟，实验结果表明文中方法比经典的非线性光学中的方法有较大的改进，这对优化光倍频器件的设计将有所帮助；其次，将一类二阶半线性椭圆型方程组转化为一个变分问题，然后利用变分法和

The emulation results show that our method is very effective.

对这种方法进行了数值模拟，结果表明这种方法是非常有效的。

Firstly, based on the stability criterion for the nominal discrete singular time-delay system, a sufficient condition for the existence of the static output feedback controller in terms of linear matrix inequality with linear matrix equality constraint is established, which ensures that the resulting closed-loop system is regular, causal and robustly asymptotically stable, and the static output feedback controller is designed by the feasible solution of the linear matrix inequality with linear matrix equality constraint.

首先基于标称离散广义时滞系统的稳定条件，以受限线性矩阵不等式形式，得到闭环离散广义时滞系统正则、因果且渐近稳定的充分条件，同时利用受限矩阵不等式的可行解给出静态输出反馈控制器的设计方法；然后采用矩阵的正交补，把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式的可行解；最后的数值实例说明了所给方法的有效性和正确性。

Based on the principle of equilibrium of nodal forces , and using the sub structure method as a numerical analysis tool, a new type of configuration analysis method for membrane, cable membrane is presented in detail in this paper.

本文针对膜、索膜结构的形态分析问题，以节点力平衡原理为基础，结合子结构的数值计算方法，提出了解决该类问题的一种新方法。

The main objective of this study is to use the numerical model to investigate the control method of pollutant dispersion and its control efficiency for a type P5000 metal etcher of Applied Materials Inc. during preventive maintenance.

本研究之主要目的在於利用数值模拟方法研究应用材料公司P5000金属蚀刻机台於预防保养时的空气污染物逸散控制方法与控制效率。

Practicability of Surface Evolver in evolving prediction of SMT solder joint is reviewed and validated. Chapter five: finite element analysis method based on minimal energy principle with application of Surface Evolver is firstly used in evolving prediction of the kind of BGA solder joint shape.

基于最小能量原理的有限元数值分析方法与边界值积分数学分析方法相比，能更有效地求解各类SMT焊点三维形态成形预测问题，并具有很好的热应力分析延续性和良好的分析精度。

Numerical method was used to calculate the flow field in three-phase fluidized bed, and to find the better arrangement of rectifying plate. The Discrete Phase Model was used to track the particles track and analyse the influence of structure parameters and operating parameters on dust-collection efficiency. The experimental results coincided with the calculation result.

利用数值计算的方法模拟计算三相流化床塔内流场分布，探求三相流化床的设计参数和运行参数对流场分布的影响，并找出优化整流板布置的方法；利用离散相模型模拟计算粉尘粒子运动轨迹，分析设计参数和运行参数对除尘效率的影响，并与实际工程测试结果比较，结果是两者基本吻合。

In this sense, the experimental and calculating methods adopted in the thesis are to great extent reliable to study the temperature field of dry ice refrigerator.

因此，在相对于冷冻室试验的温差范围(-18℃±2℃)，本文所采用的实验方法和数值计算方法用于研究干冰冰箱的温度场具有一定的可靠性。

A new scheme for approximating the solution of 2D Maxwell's equations-the high order symplectic scheme is proposed to overcome the shortcoming of the conventional finite difference time domain. The scheme is obtained by discretizing the Maxwell's equations in time domain based on symplectic scheme with high order, and then evaluating the equation in spatial domain with second or fourth order finite difference approximation.

为克服标准时域有限差分方法的缺陷，引入一种新的数值计算方法－高阶辛算法求解Maxwell方程，即在时间上用高阶辛差分格式离散，空间分别采用二阶及四阶精度的差分格式离散。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。