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两种涡旋光束的线性强度、强度密度和三维立体图，改变拓扑荷可以改变强度分布。(two kinds of vortex beam)

说明：  使用分布傅立叶法计算非线性薛定谔方程。可以得到光纤非线性传输特性。(Fourier method using the distribution of nonlinear Schr枚dinger equation. Can be non-linear optical transmission characteristics.)

说明：  多阶段物流配送问题GA解法,用于物流配送中心选址问题的解决(logistics center location)

数值方法的5个重要的算法： 1.[Dirich.m] 求解拉普拉斯方程的狄利克雷方法. 用于偏微分方程的数值解 2.[Hamming.m] 汉明方法是用来修正微分方程的多步预测。 3. [Milne.m] 米尔恩 - 辛普森差分方程求解方法，用于预测校正方法。 4. [Rkf45.m]龙格 - 库塔 - 沃尔伯格错误控制和步骤的方法求解微分方程的近似解 5.[Romber.m]著名的龙贝格积分源代码。计算结果存在并显示为下三角矩阵。(Numerical Methods in five of the more important algorithms: 1. [Dirich.m] to solve the Laplace equation Dirichlet method for the numerical solution of partial differential equations 2.[Hamming.m] Hamming method is the multistep forecast corrected differential equations. 3. [Milne.m] the Milne- Simpson method as a differential equation solver used forecast correction method. 4. [Rkf45.m] Runge- Kutta- Wahlberg error control and step method for solving differential equations approximate solution 5. [Romber.m] the famous Romberg integral source code numerical integration, the presence of computable results show a lower triangular matrix.)

weno5求解sod激波管问题，是初学计算流编程时做作业的题目，供参考(sod shock problem solve by weno5 for reference)

电磁场 向量分析与场论基础 《向量分析与场论基础》就是关于场的数学刻画、描述以及场特征的一般分析。在本概要中，为简明区分向量与标量起见，向量一律采用黑、斜体。 (vector analysis and electromagnetic field theory based "vector analysis and field theory foundation" is on the mathematical characterization. and the description of the general characteristics of the market analysis. In the outline for concise distinction between vector and scalar sake, vector will be used black, in italics.)

计算偏心圆导热计算以及同位网格上的SIMPLE算法 (Calculating thermal calculations and eccentric position on the grid with SIMPLE algorithm)

用最小二乘法进行电力系统状态估计，包含IEEE30节点的电力系统图(Using least squares power system state estimation, including IEEE30 bus power system diagram)

大量的有限元法求解偏微分方程的实例程序，程序里有详细的解释语句(lot of finite element method PDE examples of procedures, procedures are detailed statement of explanation)

基于abaqus编辑的用户自定义单元，二维四节点单元(the uel for 2d ELEMENT based on abaqus)