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说明：  FFT，整型数据代替浮点型数据 本程序是搜集资料并加上自己的分析，整了很长时间才测试通过的FFT程序，运行时间和所占内存方面都比较满意。(FFT, integer data instead of floating point data This program is to collect data and add their own analysis, the FFT program passed the test for a long time, the running time and memory occupied are relatively satisfactory.)

复合材料强度计算的程序，采用与ansys软件集成后计算(Composite material strength calculation procedures, the use of ANSYS software and the integration of computing)

扩展有限元软件包,用于模拟连续介质裂纹的萌生与扩展(XFEM simulation code written in MATlab)

说明：  逆BROYDEN迭代法求解非线性方程组：是一种相对比较新的一种方法,克服了牛顿迭代法需要求导数和求逆的缺点。本程序提供解法和画图流程，注意多迭代几步(Inverse BROYDEN iteration method is a relatively new method for solving nonlinear equations, which overcomes the shortcomings of Newton iteration method in derivative and inversion. This program provides solution and drawing process. Remember more several steps of iteration.)

利用C语言实现MOORE-PENROSE广义逆矩阵的计算，经试验OK。(The realization of MOORE-PENROSE generalized inverse matrix is calculated by using the C language, through the test of OK.)

FFT（Fast Fourier Transformation）是离散傅氏变换（DFT）的快速算法 [1] 。即为快速傅氏变换。它是根据离散傅氏变换的奇、偶、虚、实等特性，对离散傅立叶变换的算法进行改进获得的。(FFT (Fast Fourier Transform) is a fast algorithm of discrete Fourier Transform (DFT). That is fast Fourier transform. According to the odd, even, imaginary and real characteristics of discrete Fourier transform, the algorithm of discrete Fourier transform is improved.)

基于ABAQUS的hashin和Tong-Norrius准则的umat子程序(Umat subroutine based on the Hashin and Tong-Norrius guidelines of ABAQUS)

实现矿井采空区的孔隙率和粘性阻力系数，主要用于采空区瓦斯抽采(The porosity and viscosity resistance coefficient of mine goaf can be achieved.)

DOA估计：最大熵算法、最小模算法、最小方差算法。输入： 快拍数据协方差矩阵R，观察范围内各方向导向矢量，三维矩阵phiyz。输出：最小方差谱估计矩阵P。(DOA Estimation: maximum entropy algorithm, the minimum norm algorithm, the minimum variance algorithm. Input: snapshot of the data covariance matrix R, the steering vector of each direction in the observed range of three-dimensional matrix phiyz. Output: the minimum variance spectral estimation matrix P.)

四阶龙格库塔算法，用来求解二阶偏微分方程，在转子系统的动力学方程数值求解中普遍应用(Runge Kutta algorithm)