钟万勰院士提出的偏微分方程的子域精细积分方法是一种半解析方法，方法简单，精度高。
The Precise Integration Method in the time domain developed by Zhong is very useful to solve a kinds of differential equations because it possesses very high efficiency and accuracy.
采用时间和空间均为二阶精确的有限差分方法，将偏微分方程进行差分化。这样，空间的电磁场可由时间域有限差分法（FDTD）来求解。
The TM set of equations can be solved using a finite difference time domain (FDTD) approximation that is second-order accurate in both space and time.
仿真计算结果表明该方法能够有效地发现和估计系统误差，同时指出在积分域进行匹配诊断和估计的精度要优于微分域匹配诊断。
Simulation results show that this method can detect and estimate the system error notably. Meanwhile the precision of matching diagnose in differential domain is higher than that in integral domain.
用比较直接的方法证明幂级数的和函数在收敛域内可以逐项微分的公式；并得到了计算傅立叶系数的一种简便方法。
A relatively direct method is expounded in this paper to prove the termwise differentiation of power series, and a simple method is expressed to calculate the Fourier coefficient.
用比较直接的方法证明幂级数的和函数在收敛域内可以逐项微分的公式；并得到了计算傅立叶系数的一种简便方法。
A relatively direct method is expounded in this paper to prove the termwise differentiation of power series, and a simple method is expressed to calculate the Fourier coefficient.
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