the-normal-line-of-the-gear

其基本思想是取B样条函数 为及基函数，在[a,b]中均匀划分区间，xi=a+ih,h=(b-a)/n,由于三次样条函数空间是n+3维的，所以把分点扩充到x-1,xn+1,则任意三次样条函数可用 线性组合来表示：(The basic idea is to take B-spline function and basis functions in [a, b] in the evenly divided intervals, xi = a+ ih, h = (ba)/n, because the cubic spline function is n+3 dimensional space , so the expansion points to the x-1, xn+1, then any cubic spline function can be expressed as a linear combination:)

基于递推公式的MATLAB切比雪夫级数程序，能计算N阶多项式(Based on the recursive formula MATLAB Chebyshev series program, we can compute N order polynomials.)

学习用UMAT程序，用于abaqus隐式计算的Johnson-cook模型，有所修改(Learn UMAT program for abaqus Johnson-cook implicit calculation model, some modifications)

BICG算法，是Krylov子空间的迭代方法之一(The BICG algorithm is one of the Krylov subspace iteration method)

用matlab来模拟温度场，准确度高，具有参考价值。(yong matlab lai moni wenduchang ,zhuquedugao ,juou cankaojiazhi .)

说明：  数学工具： LU分解法解线性方程组，很好用(Mathematical tools: LU decomposition solution of linear equations, a very good use)

三次样条插值函数实现 运行后画出曲线图，并得到插值函数表达式。(spline3)

计算电磁学基础教材， 包括MOM FEM FDTD(fundmental materail for beginner include MOM FEM FDtd)

基于前推回代法的电力系统潮流计算程序。 需要输入支路阻抗和节点功率矩阵。包括支路号、首节点号、尾节点号、支路自阻抗、尾节点给定功率。 输出各节点的电压幅值、相角和各支路电流。(Power flow calculation program based on the forward and backward substitution method. Need input the branch impedance node power matrix. Including branch number, node number, the tail node number, branch self-impedance tail node given power. The output node voltage amplitude, phase angle and current of each branch.)

利用matlab编写的二维网格的时域有限差分算法(Matlab prepared using a two-dimensional grid finite-difference time-domain algorithm)