ABAQUS-UMAT

说明：  有两个ARMA过程，其中信号1是宽带信号，信号2是窄带信号，分别用AR谱估计算法、ARMA谱估计算法和周期图法估计其功率谱。(There are two ARMA processes, in which signal 1 is a wideband signal and signal 2 is a narrowband signal. The power spectrum is estimated by AR spectrum estimation algorithm, ARMA spectrum estimation algorithm and periodogram method respectively.)

说明：  局部线性回归方法及其稳健形式已经被看作一种有效的非参数光滑方法.与流行的核回归方法相比,它有诸多优点,诸如:较高的渐近效率和较强的适应设计能力.另外,局部线性回归能适应几乎所有的回归设计情形却不需要任何边界修正。(Local linear regression methods and their solid form has been seen as an effective non-parametric smoothing method. Contrary to popular kernel regression methods, it has many advantages, such as: higher efficiency and stronger asymptotic adaptation design capacity. In addition, the local linear regression to adjust to the return of the design of almost all cases does not require any boundary amendment.)

QR分解法是目前求一般矩阵全部特征值的最有效并广泛应用的方法，一般矩阵先经过正交相似变化成为Hessenberg矩阵，然后再应用QR方法求特征值和特征向量。它是将矩阵分解成一个正规正交矩阵Q与上三角形矩阵R，所以称为QR分解法,(QR decomposition )

说明：  相场法基础书籍的配套计算代码，对于学习相场法的基础同学来说极其有用(The supporting calculation code of the phase field basic book is extremely useful for the students who are studying the basic method of the phase field method.)

一个实现sor超松弛迭代法的c语言算法，可以帮助新手完成矩阵计算(A C language algorithm for realizing over relaxation iterative method)

Umat Abaqus for plasticity

计算各种气象物理量，包括散度、涡度、螺旋度、垂直速度、水汽通量、比湿、假相当位温、k指数等的grads 程序，(Calculate various meteorological physical quantity, including divergence, vorticity, helicity, vertical velocity, water vapor flux, specific humidity, pseudo-equivalent temperature, k index grads program,)

几个使用的解线性方程组的程序，包括高斯消去法，高斯列主元法，高斯——赛德尔消去法。简明实用。(Gauss elimaination, Gauss_seidel ellimination)

基于二阶锥规划的旁瓣抑制滤波器的设计仿真，其中包括m序列，失配滤波器设计，并且考虑增益处理损失。(Based on SOCP sidelobe suppression filter design simulation, including m-sequence mismatch filter design, and to consider the loss of gain processing.)

说明：  用PSO-BPNN算法对时间序列数据进行拟合并预测未来一段时间数据(Using pso-bpnn algorithm to predict the future time series data)