数值方程

A seven-node difference scheme of the diffusion equation was proposed to study the behaviors of transient electromagnetic field in complicated 3-D geoelectric body. Models of roadway and anomaly body were set up for simulating the transient field excited by a vertical magnetic dipole source. The result of numerical simulation shows that the presence of low resistive conductor leads to noticeable distortion of isolines for the "smoke ring" field, whereas the distortion is not so obvious where the roadway and the poor conductor are located.

为了探讨复杂三维地电体中瞬变电磁场的响应特征，推导了三维扩散方程的七点差分格式，建立了巷道和异常体模型，并对垂直磁偶源激发的瞬变场进行了数值模拟，观察到早期&烟圈&场在低阻体处等值线发生的明显畸变，在巷道和高阻体处的畸变较弱，随着时间的增加异常体的影响逐渐减弱。

Finally the numerical results are presented to confirm the effectiveness of Gauss-Seidel parallelized with alternate tiling method,specifically compared with owner-computing and red-black Gauss-Seidel methods,and show that the new parallel iterative method has better parallel efficiency as well as scalability.

许多物理应用问题的求解都归结为求微分方程数值解，其核心是高效地求解线性方程组，GS(Gauss一Seidel)和SOR迭代算法以其高效性和实现简单的特性成为大型线性方程组求解的重要算法，并且常用作非定常迭代算法的高效预条件子，是许多应用软件的核心算法之一。在并行处理系统

Numerical approximations of equations too difficult to solve in any other way were evaluated with such machines.

用任何其他方法都难以解答的方程，可以用这样的机器来求其近似数值。

With the Finite-Difference Time-Domain method, the characteristic of electromagnetic field within the vacant resonant cavity was analyzed.

采用时域有限差分法数值求解Maxwell方程，分析了MPT无加载谐振腔内的电磁场特性。

To understand heat transfer characteristics of regenerative cooling in liquid propellant rocket nozzle, numerical simulation was employed. Three dimensional governing equations for hot gas, solid wall and coolant were established respectively, and coupled calculation of flow and heat transfer was carried out.

为了解液体火箭发动机喷管再生冷却的换热特点，采用数值模拟的方法，对内喷管燃气、壁面和冷却液建立不同的三维控制方程，进行流动和传热的耦合计算。

Since the interface is treated as an internal flow field so it can accurately keep the conservation of flow variables on the sliding interface. Both laminar and turbulent unsteady rotor/stator interaction of a turbine stage with arbitrary pitch ratio are calculated successfully.

成功地计算了小雷诺数工况下具有任意栅距比的轴流动/静相干叶排内部非定常层流流动，及采用标准K-ε两方程模型对较大雷诺数工况下动/静相干轴流叶排内部非定常紊流流动进行了数值分析。

However, it is rather difficult, even impossible for some multielectron atoms and complex molecules, to solve numerically the timedependent Schr〓dinger equation even though personal computers have been rapidly developed and popularized at present.

然而对含时Schr〓dinger方程进行严格的数值求解却是非常困难的，特别是对一些多电子原子和复杂分子而言甚至是不可能的，尽管当今的个人计算机已有了相当的发展和普及。

Based on the thermal reaction-diffusion equations of the thermal explosion theory, by the way of theoretical analysis and numerical simulation, the problem of high energy explosive's friction sensitivity is studied.

根据炸药热爆炸理论的热反应扩散方程，通过理论分析和数值模拟的方法，对高能炸药的摩擦感度问题进行研究。

Combining with carrier rate equation,the fine structure of output spectrum and output power are numerically simulated.

结合载流子速率方程，对外腔半导体激光器的输出谱的精细结构以及P-I 特性进行了数值模拟研究。

Numerical simulation of an important class of superconducting Josephson junction device to satisfy the equation.

数值模拟了一类重要的超导器件Josephson结满足的方程。

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。