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。
The numerical results obtained by the analytical expressions are in consistence with that of accurate numerical solutions at the first some periods.
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。
The accurate numerical solutions of the angular displacement, the length and its rate, and the path are given with the numerical 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。
More accurate mathematical formulations were established and numerical solutions were obtained for some concreted problems by using shooting method.
数值算例表明，用精细积分法得到的解与精确解十分吻合，比有限差分法具有更高的精度。
The results of the precise integration method agree well with the theoretical solution and have higher precision than those of the finite difference method.
这些精确解为实验，数值以及渐近解的检验提供了借鉴和参考。
The exact solutions are analytical physical solutions and can be served as accuracy checks for experimental, numerical and asymptotic methods.
指出关于铅球最佳投掷角计算公式中存在的问题，提出了计算这一角度的精确方程和数值解。
The problem of shots optimum putting angle in calculation formulae are pointed out, precise equation and numerical solution of this angle are given.
少体理论可以把质心运动和相对运动分离，从而得到精确的数值解。
Few-body theory can get the precise numerical solution by separating the movement of mass center and the relative movement.
计算结果表明：渐近波形估计技术不但能准确地逼近矩量法的精确数值解，还可以较快的提高计算速度，但在加速计算导体宽角度与宽频域雷达散射截面时具有不同的效果。
The computation results indicate that the AWE technique not only can well approximate the exact numerical solution, but also improve the velocity of calculation and save the calculation time of CPU.
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。
It is an important method that the exact solutions of the heat conduction equations test the correctness of the numerical solutions.
利用该模型对均匀风场和埃克曼风场进行了理想数值试验，通过与构造的精确解比较，说明了该模型的准确性。
The results of computing of uniform and Ekman float prove that this model is effective in comparison with the exact results.
在平面应变假设下，给出其二维精确解，并提供了机械应变能释放率和裂尖能量释放率等数值结果。
The two dimensional accurate solution is obtained on plane strain assumption, the numerical results of strain energy release rate and crack tip energy release rate are presented.
对线性定常结构的动力系统提出的精细积分法，能得到在数值上逼近于精确解的结果。
The precise integration method proposed for linear-invariant dynamic system can give precise numerical results approaching to the exa ct solution at the integration points.
最后将数值模拟的结果和精确解的结果进行了比较，发现数值模拟结果与精确解相吻合。
The results of numerical simulation and accurate solutions are compared and it is found that they agree well.
通过对正挤压工序的理论分析得到了数值解，其精确地满足金属流动描述的微分方程。
In this paper, the numerical solution is got through analyzing the direct extrusion procedure theoretically, that can describe the differential equation of metal flowing accurately.
对于简正波，运用高效数值方法解频散方程，提高了简正波的计算精确和速度。
To obtain accurate normal modes quickly, the frequency dispersion equation was solved by an efficient numerical algorithm.
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。
Numerical solutions of two examples are compared with analytical ones, illustrating the more effectiveness of BIE method in engineering acoustics.
进行数值求解，通过数值解与精确解的比较，对计算误差的变化规律进行了分析研究。
By a comparison of the result with that of the analytical solution, the computational error of the numerical solution is discussed.
文中给出了数值算例并与精确解进行了对比。
Numerical example is presented and compared with the exact result.
利用空间坐标变换法，得出弯管状屏蔽体的曲面方程式，用精确解析解取代了常用的数值近似解。
The camber equation has been established by means of space alternate coordinate; the numerical approximate calculation is replaced by accurate calculation.
采用打靶法求解该边值问题，获得了数值意义上的精确解，给出了梁的过屈曲平衡路径及平衡构形。
By using shooting method, the obtained boundary value problem is numerically solved and the equilibrium paths as well as the post buckled configurations of the deformed beam are given.
数值计算表明，该方法求得的解与精确解有着良好的吻合。
It is shown that this solution can give the results which are in good agreement with that of the exact solution.
通过运用吴消元法求解电力系统潮流方程，求得了全部实域精确解，同时避免了因以数值迭代方法求解出现雅可比矩阵奇异的现象。
By using Wu s method, all the precise solutions of power flow equations are worked out without encountering the numerical difficulty of ill-condition.
算例的计算结果与采用精确边界条件的欧拉方程数值解及实验值符合良好，验证了本文方法的正确性。
The results of cases are in good agreement with the Euler solutions using the exact boundary conditions and known experimental data. The correctness of the method in this dissertation is validated.
最后通过与精确解之间的数值误差和误差图像曲线的比较，验证了所提方法在矩阵微分方程数值解应用中的可行性和有效性。
Finally through a comparison of numerical error and error images, proves that the feasibility and effectiveness of the methods for the numerical solution of the matrix difference equations.
文中求得了周边简支多边形板的弹性改进理论解，数值结果与三维弹性理论精确解的结果非常接近。
The solution of the refined theory for simply supported polygonal plates has been obtained; and its numerical result is very close to the exact solution of the three-dimensional theory of elasticity.
作业：用书上的程序计算出数值解，并与精确解进行比较。
Question: using the FORTRAN program provided in the text book (in p13) to get the numerical solution, and compare the results with the accuracy solution.
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。
A model of percolation flow through non-perfectly reversible deformation medium and its numerical solution;
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。
A model of percolation flow through non-perfectly reversible deformation medium and its numerical solution;
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