1_2_3维均值聚类

适用于ABAQUS的自定义材料子程序，适用于Johnson-Cook材料模型(Apply to custom material ABAQUS subroutine for Johnson-Cook material model)

说明：  最优化算法中的二分法，是用MATLAB实现的，经过调试的(Optimization of the dichotomy, is to use MATLAB to achieve, through debugging)

利用龙格库塔法（等步长，变步长）计算椭圆方程，双曲线方程，抛物线方程等。对各类微分方程进行数值计算。(The use of Runge-Kutta method (such as step, variable step size) calculated elliptic equations, hyperbolic equations, such as parabolic equation. Various types of differential equations for numerical calculation.)

vasp，功能强大的第一性原理计算软件，请注意版权(The Vienna Ab initio Simulation Package (VASP) is a computer program for atomic scale materials modelling, e.g. electronic structure calculations and quantum-mechanical molecular dynamics, from first principles.)

一个简单介绍ZERNIKE矩的文章，zernike矩是一种在图像处理、模式识别中广泛应用的方法(ZERNIKE a brief moment of articles, zernike moment is a kind of image processing, pattern recognition methods widely used in)

4种计算积分的方法，并对精度进行比较，梯形法则，simpson法则(4 methods for calculating integral)

说明：  Godunov格式和Roe格式求解Burgers方程(Godunov scheme and Roe scheme for solving Burgers equation)

BESO的python程序，对于进行abaqus的二次开发很有帮助，这样可以将有限元单独在abaqus中进行处理，而优化算法则采用python进行编写(BESO python program, for the secondary development abaqus helpful, so that the finite element can be handled separately in abaqus, while the optimization algorithm is written in python)

合工大大二计算方法实验的源代码,里面有实验指导书.有牛顿下山,迭代啊什么的(Sophomore calculation experiment source code, which has experimental guide books)

说明：  在科学与工程计算中，经常遇到求解非线性方程组的问题；非线性方程组在收敛速度及收敛性比线性方程组要差，特别对于非凸的非线性方程组，其求解更是困难。下面简要介绍非线性方程组的三种解法——牛顿法、拟牛顿法、同伦算法，分析三种解法的适用性，并附Matlab原程序。(Scientific and engineering computing, often encounter the problem of solving nonlinear equations speed of convergence of nonlinear equations and linear equations worse than convergence, especially for non-convex nonlinear equations, which is even more difficult to solve . The following briefly describes three solutions to nonlinear equations- Newton method, quasi-Newton method, homotopy method, the applicability of the three solutions, along with Matlab original program.)