util_mod

弹性力学问题的边界元—姜弘道,用fortran语言编写的，实例详细(BEM elasticity problems- Jiang Hongdao with fortran language, detailed examples)

说明：  算法设计第三版，算法设计第三版，算法设计第三版，算法设计第三版(Algorithm Design Third Edition)

异或校验，用于北斗一代数据计算校验码，已验证(XOR checksum for the data checksum generation Beidou, Verified)

说明：  实现矩阵的四则运算，并能计算矩阵的特征值和特征向量(Four arithmetic operations of matrices are realized, and eigenvalues and eigenvectors of matrices can be calculated.)

二分法，用于多项式求解，迭代12次能达到很高的精度(Dichotomy for polynomial solving, iterative 12 times to achieve high precision)

该函数用来计算任意函数的一阶偏导数(数值方法),使用大量的有限元法求解偏微分方程，基于kaiser窗的双谱线插值FFT谐波分析。( This function is used to calculate the arbitrary function of the first order partial derivative (numerical methods), Using a large number of finite element method to solve partial differential equations, Dual-line interpolation FFT harmonic analysis kais)

外国人写的卡尔曼滤波器算法的库，可以供大家参考，已经封装好了(kalman library)

一种流形学习算法（很好用），主要是基于mtlab的程序，这是第二能量熵的matlab代码。( A fluid manifold learning algorithm (good use), Mainly based on the mtlab procedures, This is the second energy entropy matlab code.)

说明：  非常详细的umat 雅可比矩阵更新算法的讲解(detailed describetion of the jacobian matrix in abaqus umat)

傅里叶变换FFT和逆傅里叶变换IFFT 欢迎大家喜欢(FFT and IFFT)