数值算法

Secondly, the relationship between the coil impedance and its liftoff for different materials are obtained using separation of variables and numerical calculation methods.

为考察电涡流传感器中等效电路的适用性，本文从被测体材料角度出发，在分析等效电路基础上，采用分离变量法和数值计算法，得到不同被测材料下探头线圈阻抗与提离高度的关系，并与从等效电路得出的结论比较，确定等效电路的适用性，同时考察被测体厚度对线圈阻抗的影响，最后对得出的结论进行理论分析。

SUMMARY With many branches of learning, such as set theory and topology theory in mathematics, data structure and programming language in computer, and finite element method in numerical analysis of electromagnatic field, a new domain of FEM is studied in this thesis creatively.

本文综合使用数学中的集合论和图论、计算机科学中的数据结构和算法语言、以及物理学电磁场分支中电磁场数值分析的有限元理论等多门学科的知识，对有限元法的一个新领域进行了具有开创性的探讨。

It is shown by numerical examples that satisfactory convergence and simple calculation...

数值分析结果表明，所导出的算法具有较好的精度和收敛性，计算过程简单方便。

According to the results of the experiments on simulated data , PRGA gives better results in curve fitting compared with simple GA and traditional numerical iterative method .

实验证明，该方法对于曲线拟合问题能取得优于简单遗传算法和传统数值迭代方法的结果。

First, for a given integer value of the objective function, the lower and upper bounds of the variables were determined by the optimum simplex tableau of the linear programming relaxation problem. Then the conditions on the bounds were added to the constraints as cuts to the associated objective function hyperplane. Finally, a branch procedure of the branch-and-bound algorithm was applied to finding a feasible solution on the objective function hyperplane.

对于给定的目标函数整数值，首先利用线性规划松弛问题的最优单纯形表确定变量的上、下界，然后将变量的上、下界条件加入约束条件中对相应的目标函数超平面进行切割，最后应用分支定界算法中的分支方法来搜寻目标函数超平面上的可行解。

Simulating results show the effectiveness of the algorithms presented in this paper.

通过数值仿真，验证了2种算法的有效性和可行性。

A 3rd-Runge-Kutta-5th-WENO scheme is used in this study to get solution of the Level Set advection equation. A Projection method is used to solve the N-S equation, and different discretization schemes are presented. A TDMA algorithm is used to solve the energy equation. With the use of these methods, a numerical simulation of vapor-liquid two-phase flows during condensation with large density ratio has been successfully realized.

本文应用三阶Runge-Kutta－五阶WENO组合格式求解Level Set输运方程，应用投影法求解气－液两相流流场N-S方程，给出了不同投影法的具体格式，应用TDMA算法求解气－液两相流场的能量方程，成功实现了对大密度比气－液两相流冷凝流动问题的数值模拟。

There are various fast algorithms of calculating diffraction integral in space range and frequency range.

对衍射积分的计算，可以采用空域数值计算及频域的多种快速算法。

The difinition of Least Square Extrapolation was introduced and the Algorithms were designed, which were used to Spectral Measure of Risk, and superiorities were discussed.

介绍了最小方差外推法的概念，提出了基于最小方差外推法计算双曲类风险厌恶谱度量的算法，并进行数值模拟，讨论了此方法的优越性。

After this, the fractal algorithm was chosen to get the global optimal solutions of the function synthesis of spherical four-bar mechanisms and the calculating frame was presented.

利用数值插值的方法对结构偏差方程式进行了分析，给出了优化模型的初始解，并采用分形算法求得了全局最优解。

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。