数值算法

Consequently, the numerical calculation methods of the propagation ought to be Lie group transformation too, which is known as Lie group method.

本文应用李群方法，系统表述相空间中的地震波和频率空间域中的单程波传播，并由此分别给出地震波场数值模拟和深度偏移的李群算法。

This program is the numerical differential line drawing algorithm.

本程序实现的是数值微分画线算法。

We derive the local values of parameters of this barrier function and obtain the complexity bound of a full-Newton step interior-point algorithm based on this local self-concordant function for linear optimization problem.

通过求解此障碍函数的局部参数值，我们得到了求解线性规划问题的基于此局部Self-Concordant障碍函数的纯牛顿步内点算法的理论迭代界。

We consider two different systems, one is stable linear system, the other is stabilized linear system.

并通过详细真实的数值实验结果分析了每一种算法的优缺点。

Then the relative conductivity distribution in transverse slice and oblique slice was reconstructed by the measured magnetic flux density. The results of numerical simulation and experiment confirmed that the proposed algorithm is feasible and available.

数值仿真和实验研究的结果都验证了本文提出的基于斜位电流注入的磁共振电阻抗成像方法和相应的电导率重建算法的可行性和有效性，重建出的相对电导率分布图像能够分析反映组织的结构和位置信息。

Baidu Star in 2008 together with the topic, I used the numerical optimization algorithm to achieve the maximum problem.

详细说明：百度之星08年的一道题目，我用数值优化算法实现了最大值问题。

When the mean square deviation between point set obtained by iteration and attractor become the minimum, the prediction value can be used as the function value of the point to be extrapolated.

该算法利用内区间的迭代函数系和吸引子由特定初始点进行搜索，通过迭代使得到的点集与吸引子的均方偏差最小，从而获得需要外推点的函数值作为预测值。

A basic method of wave_number in three dimensions（MWN3D） is employed to solve the thermal conductive equation in this paper. Meantime, we take some numerical experiments to discuss the reliability and adaptability of this method.

给出了三维热导方程波数域的基本解和算法（MWN3D），并通过数值模型的方式验证、讨论了这一方法的可靠性和适应能力。

The basic idea was to discrete the structure and find the load function according to the energy criterion of buckling and the principle of random displacement method. As the critical load is the minimum of the load function, a problem of frame buckling can be transformed into an optimization problem. Therefore, the critical load can be found through solving the optimization problem.

先将结构离散为一个有限自由度系统；然后根据有限自由度系统平衡稳定性的能量准则和随机位移法的基本原理，建立符合能量准则的载荷函数，该函数不为零的最小值即为临界载荷，由此将稳定问题转化为无约束的多维优化问题；最后应用遗传算法求出相应于最优解的目标函数值。

Methods for calculating the optimal solution of the minimum time attitude slewing motion and the energy-optimal problems were obtained using Genetic Algorithm, which does not need initial guesses and increases the calculational efficiency.

同时，将遗传算法引入卫星姿态控制的数值计算中，求解最短时间控制问题和能量最优控制问题，发展了一种新的最优控制问题的计算方法，避免了对迭代初值进行猜测的困难，提高了计算效率。

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。