lagrange插值

完成采样空间的采样，适合于响应面，近似模型之前的采样工作，文件夹中有具体介绍(The sampling space is completed. It is suitable for the response surface and the sampling work before the approximation of the model. The folders are introduced in detail.)

该程序为fluent软件进行速度入口造波数值模拟，波浪为二阶stokes波(The program for the FLUENT software simulation of wave speed entrance numerical, two order Stokes wave)

C++实现的FFT，详细，简单，内含多个测试类(using C++ implements fft，including serials class)

ansys非线性各向同性，非线性随动硬化(ANSYS nonlinear isotropic, linear kinematic hardening)

通过C++头文件实现的有限元形状函数计算程序(finite element shape function)

采用随机数产生2到10阶的随机矩阵，并实现了矩阵的相关运算，比如：加减，乘除，求逆，求行列式(Using random Numbers generated random matrix from 2 to 10 order , and achieving relative to the implementation of the matrix operations, such as: add and subtract, multiple and divided, inverse and determinant)

计算材料学中用相场法模拟合金凝固相变的程序(Computational Materials Science using phase-field simulation of solidification phase change process)

灰色预测模型，对未来数据进行预测，同时还有误差检测(GM(1,1),Grey prediction model, which can forecast future data and detect errors at the same time)

说明：  共轭梯度法（Conjugate Gradient）是介于最速下降法与牛顿法之间的一个方法，它仅需利用一阶导数信息，但克服了最速下降法收敛慢的缺点，又避免了牛顿法需要存储和计算Hesse矩阵并求逆的缺点，共轭梯度法不仅是解决大型线性方程组最有用的方法之一，也是解大型非线性最优化最有效的算法之一。 在各种优化算法中，共轭梯度法是非常重要的一种。其优点是所需存储量小，具有步收敛性，稳定性高，而且不需要任何外来参数。(Conjugate gradient method Gradient) is a method between the steepest descent method and Newton's method. It only uses the first derivative information, but overcomes the disadvantage of slow convergence of steepest descent method, and avoids the disadvantage of storing and calculating Hesse matrix and solving inverse of Newton's method. Conjugate gradient method is not only one of the most useful methods to solve large-scale linear equations, but also the most effective method to solve large-scale nonlinear optimization One of the algorithms of. Among all kinds of optimization algorithms, conjugate gradient method is very important. It has the advantages of small storage, step convergence, high stability and no external parameters.)

基于matlab计算流体力学(CFD)源代码。(Matlab-based computational fluid dynamics (CFD) code.)