UEL_XFEM

计算水声传播的快速场(FFP)程序，基于传播矩阵，迭代和快速傅里叶变换方法。(underwater acoustic field computing Fast FIELD Program, based on TMM, FFT etc.)

lyapunov指数求解，采用wolf法，计算速度极快(lyapunov Index solving, using wolf law, the calculation speed)

这是一个三次样条插值函数实现的C代码。如果插值点需要改变，可以在程序中改定。(This is a cubic spline interpolation function of the realization of the C code. If interpolation points need to change, the procedures will change.)

安装32bit-win的spss中PSL所需的所有安装文件，包括PythonPlugInWin32、Python2.5.4、scipy-0.6.0、numpy-1-1.0、PLS.py以及plscommand.xml并附安装说明。 第一步:安装spss17.0 第二步：安装 SPSSStatisticsPythonPlugInWin32_1700.exe 第三步：安装Python2.5.4 第四步：安装scipy-0.6.0和numpy-1-1.0 第五步：复制PLS.py文件到Python安装目录----Python25Libsite-packages 复制plscommand.xml文件到spss安装目录----SPSSIncStatistics17extensions，没有extensions文件夹就新建一个。 第六步：打开软件，导入数据，分析-回归-部分最小平方回归。Ok(Install all the installation files required by PSL in the SPSS of 32bit-win, including PythonPlugInWin32, Python2.5.4, scipy-0.6.0, numpy-1-1.0, PLS.py and plscommand.xml, and attach the installation instructions.)

矩阵的练习 对于掌握数组的 概念很重要。如何快速掌握数组，灵活运用。(The practice of the matrix is ​ ​ very important to grasp the concept of the array. How to quickly grasp the array of flexible use.)

说明：  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 Gradient) is a method between the steepest descent method and Newton's method. It only uses the first derivative information, but overcomes the disadvantage of slow convergence of steepest descent method, and avoids the disadvantage of storing and calculating Hesse matrix and solving inverse of Newton's method. Conjugate gradient method is not only one of the most useful methods to solve large-scale linear equations, but also the most effective method to solve large-scale nonlinear optimization One of the algorithms of. Among all kinds of optimization algorithms, conjugate gradient method is very important. It has the advantages of small storage, step convergence, high stability and no external parameters.)

实现位场数据的向上延拓运算，有效的消除数据中的噪音及浅部干扰。(Realize the potential field data upward continuation operator, effectively eliminate the noise in the data and shallow interference.)

说明：  lu分解矩阵求逆... =========== 紫薯紫薯...(Matrix LU decomposition inversion)

一篇论文，转子动力学方面，思路独特，新颖性强。题目为叶片-转子-轴承系统的非线性动力学问题研究(Paper, rotor dynamics, the idea of ​ ​ unique, innovative and strong. Entitled blades- Rotor- bearing system of nonlinear dynamics)

关于非线性离散系统辨识，小波包分析提取振动信号中的特征频率，有小波分析的盲信号处理。( Nonlinear discrete system identification, Wavelet packet analysis to extract vibration signal characteristic frequency, There Wavelet Analysis Blind Signal Processing.)