Numerical examples show that FHT is a useful fast algorithm to simulate the beam propagation through a large high power laser amplifier system with cylindrical symmetry.
数值计算例表明，用快速汉克尔变换来模拟柱对称大型高功率激光放大系统中的光传输时，是一种非常有用的、快速的算法。
Fast convergence rate and low computational complexity as well as good numerical stability of the adaptive filtering algorithm are the goal which we constantly strive to pursue.
寻求收敛速度快，计算复杂度低，数值稳定性好的自适应滤波算法是我们不断努力追求的目标。
The proposed adaptive optimization method has been validated using several analytic function tests. Numerical results show that the algorithm has the property of fast global searching.
利用解析函数对上述自适应优化方法进行了验证，算例结果证明了该算法的全局搜索和快速寻优能力。
Numerical examples demonstrate that the algorithm is very efficient and converges very fast.
数值实例表明，该算法很有效且收敛很快。
Many numerical tests show that the fast approximation algorithm has very good performance.
大量的数值试验表明该近似算法性能良好。
Numerical results show a fast convergence property of the proposed algorithm.
数值结果表明该算法具有良好的收敛速度。
Numerical results show that the calculation efficiency of the fast algorithm proposed in the paper is 20-80 times higher than the virtual boundary element method.
文中给出的数值算例表明了这种快速算法的计算效率是虚拟边界元法的2 0—80倍。
Sampling data using fast Fourier transform (FFT) to numerical algorithm has obtained the high accuracy air shaft synthesis parameter survey.
对采样后的数据运用快速傅立叶变换(FFT)进行数值计算，获得了高精度的风井综合参数的测量。
Sampling data using fast Fourier transform (FFT) to numerical algorithm has obtained the high accuracy air shaft synthesis parameter survey.
对采样后的数据运用快速傅立叶变换(FFT)进行数值计算，获得了高精度的风井综合参数的测量。
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