ABAQUS-UMAT

经典R-K法，通过它可以计算一些简单的常微分方程的数值解(Classical RK method, which can be calculated by simple numerical solution of ordinary differential equations)

求解某一函数的最佳一致逼近二次多项式，课任意更改所需函数(Solving a quadratic function of best uniform approximation polynomial functions required for any changes to class)

一维 问题，即激波管问题，是一个典型的一维可压缩无黏气体动力学问题，并有 解析解。对它采用二阶精度 两步差分格式进行数值求解。(Use MacCormack difference scheme for solving a two-dimensional shock tube problem)

说明：  matlab常用算法程序集主要用于解决插值、函数逼近、矩阵特征值计算、数值微分、数值积分、方程求根、非线性方程组求解、解线性方程组的直接法、解线性方程组的迭代法、随机数生成、特殊函数计算、常微分方程的初值等问题(Mainly solve interpolation, function approximation, matrix eigenvalue calculation, numerical differentiation, numerical integration, equation roots, nonlinear equations solving, direct methods for solving linear equations, iterative methods for solving linear equations, random number generation, special functions Calculation, initial value of ordinary differential equations, etc.)

说明：  基于mises屈服准则的随动强化模型的umat子程序(Follow up reinforcement UMAT)

无网格法移动最小二乘近似（MLS）型函数计算子程序 (Meshless method moving least square approximation (MLS) type function calculation subroutine)

利用MATLAB程序实现时间序列的预测功能(Using MATLAB program to achieve prediction function of time series.)

说明：  利用muscl格式求解可压缩多相流，采用minimod,vanabada限制器(Using muscl scheme to solve the compressible multiphase flow, using Minimod, vanabada limiter)

基于Visual C++的地震信号处理程序源代码，包括常用的FFT和Hilbert变换代码。(Visual C++ based on the seismic signal processing program source code, including the commonly used FFT and Hilbert transform code.)

本代码为《最优化理论与方法》书籍重的信赖域算法的代码，本代码中的目标函数和约束等初值可由需要进行改变，来得到所期望的计算(The code for the " optimization theory and method" heavy books trust region algorithm code, the code of the objective function and constraints may need to change the initial value to get the desired calculation)