UMAT各页公式详解V2

递归神经网络-实时学习训练算法代码，亲测可用，简洁无误，容易上手。( Recursive neural network- real-time learning training algorithm code, pro-test available, simple and correct, easy to use.)

应用方便的OrbMath数学运算库,适用于多种语言()

说明：  c++编程bp神经网络，用c++语言编写的bp神经网络(C++ programming bp neural network, bp neural network written in c++ language.)

feap 有限元程序，国外某大学的开源程序(feap finite element program)

用于求解一维气体动力学的欧拉方程代码，采用戈东诺夫格式，显式推进，可仿真非定常激波管(For solving one-dimensional Euler equations of gas dynamics code, using Godunov format, explicit advance, can simulate unsteady shock tube)

基于最小二乘法的抛物面拟合，内含有模拟数据和真是数据供参考。(Contains analog data based on the method of least squares parabolic fitting, and is really data for reference.)

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 )

fft的文件，fortran环境下运行！欢迎指正！(fft documents, fortran environment running! Please correct me!)

计算低速气动力的涡格法程序，来自NASA，可信度高(This is a vortex lattice aerodynamic program from the low speed aerodynamics group at NASA Langley)

vumat and umat file of hashin and hard