vss-nlms

有限差分法，5阶WENO格式求解一维Euler方程组的双冲击波问题(fifth-order WENO scheme for 1-D Euler equation with two blast waves problem)

可以用最小二乘法来提取趋势项。在MATLAB中可利用它的函数来计算(Least squares method can be used to extract the trend items. It can be used in MATLAB to calculate the function)

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 (Conjugate Gradient) is between the steepest descent method between the method and Newton' s method, it takes only a first derivative information, but to overcome the steepest descent method convergence slow shortcomings, but also to avoid the Newton method needs to be stored Hesse and disadvantages of computing inverse matrix and the conjugate gradient method is not only one of the most useful methods to solve large linear equations, solution of large-scale nonlinear optimization is one of the most effective algorithm. In various optimization algorithm, conjugate gradient method is a very important one. The advantage is that a small amount of memory required, with step convergence, high stability, and does not require any external parameters.)

压缩包中包含五个CFD基础程序，其中MacCormack1DSolveRiemann.for是一维欧拉方程求解（黎曼问题），UpwindTVD_1D.for是一维可压粘性N-S方程求解，MAC-Chorin2D.for是利用MAC算法和Chorin压力迭代解法求解 二维不可压缩黏性平板间Poisuille流动问题，Lax-Webdroff2D.for是利用Lax-Webdroff差分格式求解二维平面激波反射问题，fvm_upwind_MAC_couette.for是以一阶迎风型离散格式和Chorin压力迭代求解couette二维流动问题。(CFD compression package contains five basic program, which is an Euler equation solving MacCormack1DSolveRiemann.for (Riemann problem), UpwindTVD_1D.for is one-dimensional compressible viscous NS equation solving, MAC-Chorin2D.for is the use of algorithms and MAC Chorin pressure iterative solution for solving the two-dimensional incompressible flow problems between viscous flat Poisuille, Lax-Webdroff2D.for using Lax-Webdroff difference scheme for solving the two-dimensional plane shock wave reflection problem, fvm_upwind_MAC_couette.for based on first order upwind scheme and Discrete Chorin pressure couette iterative solution of two-dimensional flows.)

模糊数学中典型的卡车倒车入库模拟仿真程序，充分利用了一定的经典的模糊规则，来实现卡车倒车的模拟(typical truck reversing the arsenal of simulation procedures and make full use of a certain classic fuzzy rules to achieve the reversal of simulated truck)

说明：  数值分析 显示算法 非线弹性 滞回曲线(Numerical analysis showed that the algorithm the linear elastic hysteresis curve)

最小二乘法含有非线性线性拟合附有理论和实际的例子说明比较具有实际应用哟(PLS)

用矩阵法求定积分1/(1+x^2)dx，区间是（-4，4）(Definite Integral Matrix Method)

说明：  用C语言实现计算两个数字的最大公约数，代码简单简洁，适合初学者学习。(C language is used to calculate the maximum common divisor of two digits. The code is simple and concise. It is suitable for beginners to learn.)

可用于层次分析法比较评价，主函数输入初始矩阵，调用层次分析函数(It can be used for comparative evaluation of analytic hierarchy process. The main function input the initial matrix and call the analytic hierarchy process function.)