ANSYScalculating-the-cylinder-craze

电力芯片RN8302计算高次谐波时的FFT变换算法，最高可实现51次谐波计算。(FFT transform algorithm for power chip RN8302 to calculate the high harmonics, the highest can achieve the 51 harmonic calculation.)

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.)

用乔里斯基分解法求系数矩阵为对称正定右端为常向量的方程组(Demand coefficient matrix with the Cholesky decomposition method for symmetric positive definite the right end of the constant vector equations)

基于经典的增广拉格朗日乘子法, 对求解一类带有特定结构（主要是针对凸规划）的非光滑等式约束优化问题, 我们提出、分析并测试了一个新算法. 在极小化增广拉格朗日函数的每一步迭代中, 该算法有效结合了带有非单调线性搜索的交替方向技术, 我们建立了算法的收敛性, 并用它来求解在带有全变差正则化的图像恢复问题.(Based on the classic augmented Lagrangian multiplier method, we propose, analyze and test an algorithm for solving a class of equality-constrained nonsmooth optimization problems (chiefly but not necessarily convex programs) with a particular structure. The algorithm effectively combines an alternating direction technique with a nonmonotone line search to minimize the augmented Lagrangian function at each iteration. We establish convergence for this algorithm, and apply it to solving problems in image reconstruction with total variation regularization.)

说明：  三次样条插值的MATLAB程序（三弯矩方程）(Cubic Spline Interpolation MATLAB (3 Moment equation))

伽辽金有限元解微分方程源代码，带注释，初学者学习使用非常好(Galerkin finit element method )

用Fluent VOF模型模拟单个小水滴落入盛水的水杯之中(Fluent VOF model simulations using a single drop falling into a water glass)

Concert c++ example of facility location problem. C++ concert technology is a registered trademark of ILOG CPLEX

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.)

计算典型相关算法，求出最大投影向量,以及最大投影向量对应的相关系数 (calculate canonical correlations, find the largest correlation coefficients)