The theoretical analyses are verified by numerical solutions.
数值解的理论分析进行了验证。
In this paper, we mainly described and studied the numerical solutions methods.
本文主要对数值求解方法进行了论述和研究。
Modeling and numerical solutions are the kernel contents of dynamics of multibody systems analysis.
建模方法和数值求解是多体动力学分析的核心内容。
Using difference method, numerical solutions of stress function of the discrete points can be obtained.
利用差分法可以求出自由扭转截面内各离散点应力函数的数值解。
For a large number of reinforced concrete structural analysis problems, can only use numerical solutions.
对于大量的钢筋混凝土结构分析问题，只能用数值方法解决。
It is found that the numerical solutions are convergent and are in good coincidence with experimental results.
数值计算结果收敛，和实验结果基本相符，证实了方法的可行性。
The process parameters can be optimized and the errors can be evaluated for numerical solutions more precisely.
由此可加深理解渗碳过程的物理本质，优化渗碳工艺技术参数，并可作为评定数值解误差的最好依据。
It is shown by the numerical solutions that the face-to-face circumferential distribution has optimum sound attenuation.
计算结果表明，面对面的周向布置声衰减效果最好。
Numerical solutions denote that the amplitude of the self-excited torsional vibration is related to the initial slip rate.
数值计算表明，自激振动的振幅与初始滑转率相关。
Besides the significance in theory, they can also be the standard solutions for checking various numerical solutions and methods.
这些解除在理论上有其重要意义外，还可以用来作为检验各种数值解法的标准解之用。
It is an important method that the exact solutions of the heat conduction equations test the correctness of the numerical solutions.
反之，用数值解来分析精确解的完整性也是一种有意义的方法。
Theoretically, the entire information for the shock can be obtained by sorting to the numerical solutions to the set of ODEs easily.
理论上讲，借助数值求解该常微分方程组便可得到有关激波的主要信息，结果将为行星际激波求解提供便捷的途径。
Besides having the significance in theory, they can also be the standard solutions for checking various numerical solutions and methods.
这些解除在理论上有其重要意义外，还可以用来作为检验各种数值解的标准解之用。
The accurate numerical solutions of the angular displacement, the length and its rate, and the path are given with the numerical method.
采用微分方程高精度数值解法得到了随时间变化的摆角、摆长、摆长变化率以及运动轨迹的数值精确解。
An implicit approximate factorization scheme (AF2) is employed in this paper to obtain the numerical solutions of TSD and TSTD equation.
本文采用近似因式分解(AF 2)方法，数值求解二元跨音速小扰动速势方程。
Numerical solutions for retouchment length and velocity-distributions -were obtained in the recirculating zone of the combustion chambers.
得到了燃烧室内回流区再附长度及速度分布的数值解。
By comparing the numerical solutions with the analytical solutions, it is proved that the isoparametric graded finite elements are useful.
针对功能梯度材料这种新型材料，提出了采用等参梯度元建立有限元模型的方法。
The analytical solutions for these reactor models are shown to agree very well with the numerical solutions to the exact differential equations.
两种模型正合微分方程的解析解与数值解表示出十分的吻合。
Numerical solutions of two examples are compared with analytical ones, illustrating the more effectiveness of BIE method in engineering acoustics.
通过两个算例的数值解与精确解的比较，说明边界单元法是求解工程声学问题的一种有效方法。
More accurate mathematical formulations were established and numerical solutions were obtained for some concreted problems by using shooting method.
建立了更加精确的数学模型，并采用打靶法获得了一系列具体问题的数值解。
The numerical results obtained by the analytical expressions are in consistence with that of accurate numerical solutions at the first some periods.
由解析表达式得到的数值结果与数值精确解相比较，二者在前几个摆动周期内相吻合。
From the theory presented, the numerical solutions were obtained by means of beam finite element method and the results were checked by model tests.
按照本理论已用梁有限元法求得数值解，结果还用模型试验作了检验。
A numerical solutions of quasi-two-dimensional unsteady flow of non-Newton fluid in the arterial pipe system is obtained by finite difference method.
利用有限差分方法得到了动脉管系内非牛顿流体的准二维不定常流动的数值解。
This method and the numerical solutions show that the method is also suitable for pure mathematical optimization problems with 0-1 discrete variables.
该方法对于纯数学的0 - 1离散变量优化的求解也适用，方法与数值都表明了这一点。
The boundary conditions can be satisfied correctly when we apply this technique, so the accuracy of numerical solutions would make a great improvement.
这种处理方案，是曲线坐标生成技术的一个直接应用，它可以使可边界条件得到精确满足。
The analytic solutions and numerical solutions of the equations of magnetic surface with fixed-boundary conditions are solved for the equilibrium plasma.
本文解出了具有固定边界的平衡等离子体磁面方程的解析解和数值解。
The problems of physical distortion due to the finite-difference scheme are studied in numerical solutions of the hypersonic viscous shock-layer equations.
本文讨论了高超声速粘性激波层方程数值计算时差分格式引起的物理失真问题。
Finally, the numerical solutions of the azimuthal velocity were calculated and the corresponding distribution curves were draw out by assuming some param...
最后，通过给定的参数计算了旋转库特流切向速度分布的数值解，并绘制了相应的切向速度分布曲线。
Numerical solutions of discharge voltage and current pulses on each capacitors and laser tube in the circuit are in good agreement with the experimental ones.
数值求解了电路中各电容器和激光管的放电电压和电流脉冲波形，得到了与实测波形一致的模拟结果。
Numerical solutions of discharge voltage and current pulses on each capacitors and laser tube in the circuit are in good agreement with the experimental ones.
数值求解了电路中各电容器和激光管的放电电压和电流脉冲波形，得到了与实测波形一致的模拟结果。
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