数值的

As important ways for numerical solutions of partial differential equations, spectral methods have been developed rapidly in the past several decades. They not only have been widely applied to numerical simulations in various fields such as physics, mechanics, aerology, oceanics etc, and their theories of numerical analysis also tend to perfect.

作为数值求解的一种手段，谱方法在近几十年得到了蓬勃的发展，它不仅被广泛运用于物理、力学、大气、海洋等领域的数值计算，而且它的数值分析理论也不断地趋于完善。

Based on application of 3D body-fitted numerical grid with a curvilinear coordinates system and the theories about turbulent flow and the laminar flow, the new techniques that the independent variables were expressed by co-variable velocities were applied to solve the problems about flow around a high-speed car body for the first time.

采用当今数值新技术，较为全面和深入地研究了高速汽车车身绕流问题。本文依据k-ε双方程湍流模型和附面层理论，采用先进的曲线坐标系下的贴体与边界正交数值网格技术，首次把以协变速度分量作为独立变量的数值技术运用于汽车车身绕流问题的求解。

In most situations, the polysome system dynamic equation is the non-linearity the ordinary differential equation or the differential - algebra system of equations, it is generally obtains the equation through the computer value simulation then get the numerical solution, then through to numerical solution analysis, understanding polysome system dynamics characteristic.

多数情况下，多体系统的动力学方程是非线性常微分方程或微分-代数方程组，一般是通过计算机数值仿真得到方程的数值解，然后通过对数值解的分析，了解多体系统的动力学特性。

Application of FLAC and numerical differential to surface deformation observation;2. The formulas solving numerical differential and integral of discrete function arc deduced in this paper.

推导了三次样条插值在求解列表函数的数值微分与积分的公式，给出了余项估计，编写了用于求解数值微分与积分的通用程序，通过数值算例表明，三次样条在插值逼近中具有非常好的性质。

Finally numerical examples with three shape functions are analyzed in detail. The numerical examples show that the modifying generalized moving least squares approximation has high accuracy not only for function value but also one or higher orders derivative.

最后，通过多个数值算例的计算比较了三种形函数的计算结果，结果显示本文提供的MGMLS方法关于函数值和各阶导数值都具有很高的精度。

As an effective method of numerical computation, FEM is widely applied in numerical simulation of metal deformation process.

有限元法作为一种有效的数值计算方法已经被广泛应用于金属成形过程的数值模拟方面，但是有限元分析软件在使用过程中也存在许多问题，例如数值模拟解的精度问题，直接优化设计技术参数的问题。

Aim To study the numerical solving process for the large sparse matrix linear equations. Methods To realize the above aim, program developing language C++, cross list data storage structure, the special method of pivoting and elimination of pivot element were adopted.

大型稀疏矩阵线性化方程组的数值求解问题，广泛存在于工程实践尤其是计算机仿真领域，如水力管网计算 [1] 、电力系统的大型导纳矩阵计算、高阶偏微分方程的数值求解[2 ] 以及铸件充型过程与凝固过程的数值模拟等。

In the third chapter, the contractilities and asymptotical stabilities of neutral delay integro-differential equations are concerned. The extended Runge-Kutta methods, with the compound quadrature formula and the Pouzet quadrature formula, are numerically stable under suitable conditions. The numerical experiments prove this result.

第三章，研究了中立型延迟积分微分方程，其理论解的收缩性和渐近稳定性，利用复合求积公式与Pouzet求积公式扩展Runge-Kutta方法，并获得了数值方法的稳定性条件，随后的数值试验结果进一步证明了方法是数值稳定的。

The new singular element at the end of a blunt crack is obtained,the new method for calculating stress intensity factors of blunt crack problems is presented.

利用其局部解构造了一种新的大曲率缺口位移模式；建立含大曲率缺口损伤结构有限元方程和与相应的缺口奇异单元；提出了求解大曲率缺口应力与应力强度因子等断裂参量的数值计算方法，数值算例说明本文方法是一种有效的数值计算分析方法。

The debris flow movement on the alluvial fan is simulated with the technology of numerical simulation and GIS. A new method of debris flow risk zoning is made out.

利用泥石流运动数值模拟和GIS技术相结合的方法对泥石流在出山口后的运动和堆积过程进行数值模拟和危险性分区，创建了泥石流运动数值模拟和危险性分区的新方法。

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。