数值函数

As the solution of transcendental equation is very difficult, this dissertation recommended the numeric method, and also provided its solution according to applications in the engineering.

由于高阶超越函数联立方程求解的困难，论文从工程角度推荐了数值解法，并根据工程应用中的情况给出了对具体问题的处理办法。

Now this kind of algorithm has been used in many fields, such as machine learing, unconventionality and malfunction diagnosis, simulation of the behavior of robots, control of robots, in break detection of network, function optimization and etc.

论文利用人工免疫算法求解数值问题的优越性，研究得到了改进的多峰值人工免疫算法，能够很好地解决函数优化的问题。

To avoid numerical diffusion caused by convection-dominated effect, the streamline upwind is introduced to modify the weighted function.

在有限元方程离散过程中，针对流动对流占优的问题，引入对权函数的流线迎风修正，有效地消除了高雷诺数流动计算中的数值震荡。

A numerical approach is proposed to quantity the dominance degree of all dimensionless parameters based on the analysis of the sensitivity factor defined as the variation ration of a target function with respect to the variation of dimensionless parameters.

系统介绍了相似参数敏感性分析方法，定义了表征目标函数对相似参数依赖程度的敏感因子，结合数值方法便可定量地确定复杂体系主要相似参数，并实际应用于工程问题。

Based on the constrained variation principle, the penalty function suited to electromagnetic field calculation is proposed in this dissertation. Detailed research is conducted on some problems, such as the selection of penalisation parameters, the effect of penalisation parameters to the CPU time and the accuracy of solutions.

本文基于变分原理构造了适合电磁场数值计算的罚函数，得到了系统的控制方程，并对罚因子的选取原则及罚因子对计算精度和计算时间的影响进行了深入研究。

The approximation of meshless methods, the selection of weight function, the variational form and the discrete equation, and the numerical implementation are described.

描述了无网格法的近似方案、权函数的选择、变分形式和离散方程以及数值求解的实现。

The long-term seepage control effects of the surrounding rocks of the underground powerhouse are performed by a stationary seepage analysis method combining the variational inequality formulation of Signorini's type with an adaptive penalty Heaviside function to guarantee the numerical stability and convergence. Meanwhile, the difficulty in finite element mesh generation is reduced and the calculation time and modeling accuracy are balanced with a global model of equivalent modeling and a submodel of accurate modeling for drainage hole array.

为确保数值计算的稳定性和收敛性，采用Signorini型变分不等式和自适应罚函数相结合的稳定渗流分析方法，对厂房围岩的长期渗控效应进行计算分析；同时，采用基于等效模拟的整体模型分析和基于精细模拟的子模型分析相结合的方法，以减小有限元建模难度并协调计算量和计算精度之间的矛盾。

Vector algebra in 3D, vector- valued functions, gradient, divergence and curl, Taylor series, numerical methods and applications.

三维向量代数、向量值函数、梯度、散度和旋度、泰勒级数、数值方法和应用。

Numerical and vectorial analysis Differential calculus: multivariable functions.

数值和矢量分析微分：多变量函数。

With k- e turbulent model and wall function presented by Launder and Spalding, numerical results of viscous resistance coefficient, isoplethic maps of velocity and stress contributions areobtained.

采用k-ε紊流模式及Launder和Spalding提出的壁函数进行数值模拟，得到了该双尾船船体粘性阻力及速度、切应力的等值线分布等结果。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。