analysis and numerical computation 分析和计算
analysis and numerical experiments 分析和数值实验
theoretical analysis and numerical 理论分析和计算
analysis and numerical calculation 分析与数据计算
theory analysis and numerical simulation 理论分析和数值模拟
theoretical analysis and numerical method 理论分析与数值计算
theoretical analysis and numerical computation 理论分析与数值计算
Analysis and numerical experiments verify the stability, the precision and the parallelism.
理论分析和数值试验检验了算法的稳定性，精度和并行性。
The theoretical analysis and numerical results show the validity of the optimization methods.
理论分析及数值实验证明了优化方法的正确性与有效性。
Both theory analysis and numerical results show that this algorithm is reliable and efficient.
理论分析和数值结果均表明本文算法是可靠和有效的。
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