数值计算

Therefore, it is always reasonable that the numerical rank be regarded as the rank of a matrix in the process of numerical computations.

从而在数值计算过程中，认为矩阵的秩就是其数值秩总是合理的。

In chapter 5, we investigate the iterative methods for solving the linear systems by the homotopy perturbation technique, and the numerical rank of a matrix in the matrix computations are considered, especially the ill-conditioned matrices.

本文第五章中我们首先利用同伦摄动技巧考察了线性方程组的迭代解法。其次，从数值计算的角度考察了矩阵的数值秩问题，尤其是病态矩阵。

Simulative results are in good agreement With the analytical solutions and experimental results, and the maximum relative error between simulative particle velocity and experimental velovity is less than 5 percent.

结果表明：数值模拟结果与理论分析及实验结果都符合得较好，其中数值计算得到的各测试点的速度与实验值的最大相对误差小于5%。

Numerical Simulations of Flows in the Hartmann Resonance Tube and Ultra-Sonic Gas Atomization Nozzle;2. The gas flow in the Hartmann resonance tube was numerically investigated by the finite volume method based on the Roe solver.

采用基于Roe解法的有限体积法，对Hartmann共振管中的气体流场进行了数值模拟，研究了当喷嘴轴线处存在针型激励器的情况下流场的振动情况，数值计算的结果与理论和相关的实验结果符合得较好。

This will make a new approach to research complex and fine structure of flow field inside propulsion, including Interaction between rotor and stator or ship and propulsion, tip clearance-flow and cavitation.

随后，本文针对轴对称体与泵喷推进器组合体的复杂流场进行了数值计算，通过与相近的试验结果的宏观量的对比和分析，表明数值结果具有较好的规律性和合理性。

The methods used here are proved be correct therefore are useful for the numerical simulation in unsteady incompressible flow with dual time step and preconditioning . Simulation to the sand saltation is carried.

文中所采用的双时间法的数值求解方法、边界条件的提法、差分格式的选取经验证是成功的，为双时间法与预处理方法的结合对低马赫数流动的数值计算积累了宝贵的经验。

These methods and models are based on solving the Schrodinger equation.

已经提出来的理论方法和建立的理论模型基本上都是基于求解含时薛定谔方程，这就要求理论工作者开展一些数值计算，即基于势能面的量子波包的数值模拟也越来越显得重要。

The acceleration and sound pressure on the surface of seafloor are obtained.

建立了点声源作用下海底地震波的时域数值计算模型，利用该模型，对二维半无限空间简单海洋模型的低频点声源海底地震波问题进行了数值模拟，得到了海底表面处的加速度和声压值。

C Taking the short-fiber reinforced and inhomogeneity spreaded composite materials as engineering background, singular integal equations of plane problem of interaction between line inclusion and circular inclusion are deduced, and some particular cases are analysed.

以短纤维和颗粒弥散体复合材料为背景，导出了线夹杂与圆夹杂相互作用平面问题的奇异积分方程，并对一些特殊情形作了退化分析，建立了数值法，给出了圆夹杂和线夹杂两侧的界面应力及线夹杂端点的应力强度因子表达式，同时作了具体的数值计算。

The specific heat capacity and thermal conductivity of wall material have a remarkable effect on the north wall temperature distribution.

温室内土壤温度和气温的实验结果与数值模拟结果相符合，从而表明所建立的传热模型和数值计算结果是正确的与可靠的。

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。