numerical

光子晶体光纤计算中相对抽运频率和四波混频效率的关系，有MATLAB程序和图形。对研究光子晶体光纤有很大的帮助。(Calculation of photonic crystal fiber pumped in the relative frequency and four-wave mixing efficiency of the relationship between the procedures and have MATLAB graphics. The study of photonic crystal fiber has a great help.)

基于matlab的利用传输矩阵法对相移光栅发射谱、时延、色散的数值模拟(phase-shifts of fiber grating)

给出变量的上下边界、初值和代价函数，能够搜索代价函数最小值时的变量取值。属于带约束的优化算法，可以用来求算非线性方程组。(STRSCNE is a Matlab code for constrained nonlinear systems of equations F(x)=0 l<=x<=u where F: R^n--> R^n, l and u are vectors of dimension n. Non-existent lower and upper bounds, i.e. entries of l and u equal to minus o plus infinity, are allowed. The algorithm is a globally convergent procedure that combines Newton method and an elliptical trust-region approach. The elliptical trust-region is defined employing a scaling diagonal matrix D and the trust-region subproblem is approximately solved by the dogleg method. Only strictly feasible iterates are generated. Various input/output options are provided, and we refer to the code itself for further documentation. )

多孔介质污染物迁移动力学地下水一维渗流的数学模型 差分求解(Contaminant migration in porous media groundwater dynamics differential one-dimensional mathematical model for solving seepage)

完成前台阶问题的计算，利用的AUSMPW格式，算法结构较为简单，所以文字说明较少(Completed on the front steps of the calculation, use of AUSMPW format, the algorithm structure is relatively simple, so less text)

假临近点法计算最佳嵌入维数的程序，可以根据自己需要适当修改调整(False approaching point method to calculate the optimal embedding dimension of the program can be adjusted according to their needs with appropriate modifications)

针对运用最小二乘法求解DV-Hop定位算法带来的节点定位误差较大的问题，提出基于代数重建法的DV-Hop定位算法(Least square method for the use of DV-Hop localization algorithm node localization errors caused by the larger issues, proposed algebraic reconstruction method based on DV-Hop localization algorithm)

三维Hashin准则，分层准则的渐进损伤失效模拟子程序(progress damage evaluation)

常用的算法设计策略(包括分治策略、动态规划、贪心策略、回溯法、随机算法等) 算法复杂度分析方法(计算迭代次数、使用递归方程、频度分析等) (Commonly used algorithm design strategies (including the strategy of divide and conquer, dynamic programming, greedy strategy, backtracking method, random algorithm) algorithm complexity analysis (number of iterations, using a recursive equation, frequency analysis, etc.))

分数傅里叶变换和分数余弦变换，动态展示实部，虚部和模值(Computation of the Fractional Fourier Transform)