频域微分方程方法 FDDE
This study of the thesis is inspired by the state-of-the-art surface mesh deformation techniques --- differential domain methods, such as the Laplacian coordinate based deformation and gradient field based deformation, which can preserve geometrical details, and have only linear computations.
最新出现的面网格的微分域方法,如基于梯度场的变形、和基于拉普拉斯坐标的变形,能有效地保持模型几何细节特征,并且在线性框架下运算、计算量较小。
参考来源 - 医学三维模型重建和体网格生成与变形研究·2,447,543篇论文数据，部分数据来源于NoteExpress
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.
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