analytical approximation meaning in English

解析近似

The improved analytical approximations show excellent agreement with the exact solutions , and are valid for total range of oscillation amplitudes , including the two extreme cases of the oscillation amplitude approaching zero and infinity
改进的解析逼近在振幅的全部取值范围内，包括振幅趋于零及无穷的情况，都有令人非常满意的精度。
By combining the newton method and the method of harmonic balance into the rewritten governing equation , we have established improved analytical approximations to the frequency and the corresponding periodic solution of the oscillator
将牛顿线性化方法与谐波平衡法组合起来应用于变形后的控制方程，建立了达芬谐波振子频率及周期解的改进解析逼近。
The improved analytical approximations show excellent agreement with the accurate solution , and are valid for the total range of oscillation amplitudes , including the two extreme cases of the oscillation amplitudes respectively approaching zero and infinity
改进的解析逼近在振幅的全部取值范围内，包括振幅趋于零及无穷的情况，都有令人满意的精度。