MPM_DPD

在图论中的floyed算法程序，可以算两点之间的最小距离(The floyed algorithm in graph theory)

针对多期随机规划问题，利用情景树方法来求解(For multi-period stochastic programming problems, the use of scenarios to solve Tree)

MFC实现快速傅里叶变换（FFT）MFC实现快速傅里叶变换（FFT）(MFC MFC Fast Fourier Transform (FFT) fast Fourier transform (FFT))

说明：  西交大多相流程序。本程序由西安交通大学能源与动力工程学院 CFD-NHT-EHT 研究中心孙东亮博士开发。本程序的任何部分不得发表。本程序未经作者同意不得用于商业用途。您可以使用该程序或进一步发展该程序。发表任何在该程序基础上开展的工作请引用相关文献（文献在程序包内一并给出）(Most of the phase flow procedures in the West Cross. This procedure was developed by Dr. Sun Dongliang, cfd-nht-eht Research Center, School of energy and power engineering, Xi'an Jiaotong University. No part of this procedure may be published. This procedure shall not be used for commercial purposes without the consent of the author. You can use the program or further develop it. Publish any work carried out on the basis of the program, please refer to relevant literature (literature is given in the package))

this document contains an explanation of mathematical functions

用ANSYS软件命令流方式实现对于复合材料的分析(For composites analysis with ANSYS Software Command)

面元法程序，用于计算飞行器气动力、气动力矩系数。(panel code for aero calculation.)

sar图像去噪的几种新的方法，数学方法是部分子空间法，实现典型相关分析。( Several new methods sar image denoising, Mathematics is part of the subspace, Achieve canonical correlation analysis.)

其基本思想是取B样条函数 为及基函数，在[a,b]中均匀划分区间，xi=a+ih,h=(b-a)/n,由于三次样条函数空间是n+3维的，所以把分点扩充到x-1,xn+1,则任意三次样条函数可用 线性组合来表示：(The basic idea is to take B-spline function and basis functions in [a, b] in the evenly divided intervals, xi = a+ ih, h = (ba)/n, because the cubic spline function is n+3 dimensional space , so the expansion points to the x-1, xn+1, then any cubic spline function can be expressed as a linear combination:)

瑞雷波勘探的书籍，比较清晰的PDF文档，里面含有瑞雷波正演代码，一最小二乘反演代码，对学习瑞雷波非常有帮助。(Rayleigh wave exploration books, clear PDF document, which contains the Rayleigh wave forward code, a least squares inversion code, very helpful for learning Rayleigh wave.)