sod-problem-by-MacCormack

通过不精确的ALM算法，解析出张量矩阵中的低秩部分和稀疏部分。(via the Inexact ALM method will solve the programming.)

gauss jordan method. not my own program but i just want to share it.

谐波检测的RELAX算法，优于FFT,能够对幅值，频率，相位进行有效估计(an algorithm for estimation of sinusoid parameter)

说明：  距阵链乘问题: 找出矩阵链乘A(35*40) A(40*20) A(20*10) A(10*15)的最佳相乘次序。 算法来自:计算机算法导引(matrix chain by : identify matrix chain by A (35* 40) A (40* 20) A (20* 10) A (10* 15) concludes the best order. Algorithm from : computer algorithm Seeker)

用来画多输入多输出系统的格式带，输入是矩阵形式(draw gershgorin)

基于abaqus umat的修正的M-C子程序，《ABAQUS在隧道与地下工程中的应用》-陈卫忠，版权归作者所有(Based on the modified MC abaqus umat subroutine, " ABAQUS in the tunnel and underground engineering" - Chen Weizhong, copyright of all)

说明：  在matlab环境下能进行各种曲线拟合的算法，非常好。(In the matlab environment to conduct various kinds of curve fitting algorithms, very good.)

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)

运用龙格库塔法-ode45求解一个多自由度的振动方程，得到振动的时域响应曲线(Using Runge Kutta method, -ode45 solved a multi degree of freedom vibration equation, and obtained the time domain response curve of vibration.)

ABAQUS中的循环模型umat，并附有解释，实现循环加载下的模拟(Cycle model in ABAQUS umat, along with explanation, to achieve the simulation under cyclic loading)