Numerical examples validate the results.
算例验证了结果。
Numerical examples show that the results are satisfactory.
数字算例表明，计算结果是令人满意的。
Numerical examples show the efficiency of the given method.
数值例子显示出所述方法的有效性。
Numerical examples show that the present method is correct.
算例表明，该分析方法是正确的。
The given numerical examples show effectiveness of this method.
文中给出的数值实例说明了本文方法的有效性。
The results are analyzed and illustrated with numerical examples.
对结果作了分析，并用数值计算作了说明。
Numerical examples are presented to illustrate the conclusion in the end.
最后，通过算例对研究结果作进一步说明。
Finally, it confirmed the validity of model by conducting numerical examples.
最后通过数值实例验证模型的有效性。
Numerical examples show that the present method provides very accurate results.
数值实例显示这一方法的计算结果非常准确。
The numerical examples are given to demonstrate the validity of proposed model.
通过算例验证了本文所提模型的可行性。
These formulas and numerical examples are tabulated for analysis and comparison.
本文将这些计算公式与数值示例列成表格加以分析比较。
Numerical examples show the high identification precision of the present method.
数值算例验证了本方法的识别精度是好的。
Numerical examples exhibit the multi-physical coupling phenomena of biomaterials.
数值例题展示了生物材料中的多物理耦合现象。
At last, the new model is employed to analyze the results with numerical examples.
最后，通过数值例子对协作和分散两种模式进行了分析比较。
Numerical examples demonstrate the effectiveness of the dual finite element method.
算例表明了对偶变量有限元分析的有效性。
Some numerical examples are also given by assuming an exponential gradient function.
对弹性模量按指数函数梯度变化的算例进行了分析。
Numerical examples show that this method has high accuracy in the vibration analysis.
计算结果表明该方法在动力问题的分析中有较高的精度。
A number of numerical examples show the correctness and effectiveness of this method.
若干计算实例表明了该方法的正确性和有效性。
Numerical examples have shown high accuracy and high convergence rates of the presented scheme.
数值结果表明，奇异杂交边界点法具有较高的精度和数值稳定性。
At last, the numerical examples verify the feasibility and validity of the method in this paper.
最后，通过一系列的例子，验证了文章中所提方法的可行性与有效性。
The applicability, efficiency and accuracy of the mixed method are verified by numerical examples.
数值算例验证了混合分析法的应用、效率和精度。
The efficiency of the precise integration algorithm of stiff equation is shown by numerical examples.
算例进一步表明了精细时程积分算法求解刚性方程的有效性。
Numerical examples show that the HEXCV program can provide an effective reference for the process design.
算例研究表明，HEXCV程序可为工艺过程设计提供有效的参考依据。
Numerical examples show that the model meets the requirement of zero torque and rigidity for vertical roll.
算例表明，该模型满足立辗转矩为零和刚性化的要求。
The effects of some important parameters on the optimal results are analyzed by detailed numerical examples.
通过数值计算，研究了一些重要参数对循环优化结果的影响。
The numerical examples show that both elements can give highly accurate results with few degrees of freedom.
文中给出的算例表明，这些单元均具有自由度少，连续性强，精度高的优点。
Numerical examples are presented to show the effects of viscoelastic coefficient on the stability boundaries.
给出的数值算例说明了粘弹性系数对稳定性边界的影响。
Some numerical examples show that the limit curves are fractal like when the smooth condition is not satisfied.
数值例子说明，在不光滑情况下，这种格式会产生具有分形性质的曲线。
Numerical examples show that the accuracy of this method used in the foundation plate problems is satisfactory.
计算结果表明，无单元法解决筏板基础问题的精度是令人满意的。
Numerical examples show that the accuracy of this method used in the foundation plate problems is satisfactory.
计算结果表明，无单元法解决筏板基础问题的精度是令人满意的。
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