Moving-Least-Squares-Methods

非线性振动.pdf 刘延柱编写 恢复力与位移不成正比或阻尼力不与速度一次方成正比的系统的振动。尽管线性振动理论早已相当完善,在工程上也已取得广泛和卓有成效的应用，但在实际问题中，总有一些用线性理论无法解释的现象。一般说，线性模型只适用于小运动范围，起出这一范围，按线性问题处理就不仅在量上会引起较大误差，而且有时还会出现质上的差异，这就促使人们研究非线性振动。(Nonlinear Vibration. Compilation of PDF Liu Yanzhu)

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. )

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.)

数据模型归一化，模态振动，分析了该信号的时域、频域、倒谱，循环谱等,用于信号特征提取、信号消噪。( Normalized data model, modal vibration, Analysis of the signal time domain, frequency domain, cepstrum, cyclic spectrum, etc. For feature extraction, signal de-noising.)

稀疏脉冲反褶积代码,包括高尔消元法解矩阵方程阻,自相关,互相关,褶积,反褶积的代码. 刚参加工作那会儿,上进心也足,爱动脑,编了很多的程序,唯有这一个是我引以为傲的,花了几个星期写的稀疏脉冲(预测)反褶积的代码,放到了现在,觉得也没必要再私藏下去了,不出五年,我都不知道这段代码是干什么的了. 希望对大家有用,方法太简单,所以效果不是太好,请大家修改,如要转载,请记得注明出处. (vc++)

Maximum Flow Graph (Boykov Kolmogorov Algorithm)

本程序集对地球物理场做多种处理 如：2阶及4阶导数，位场转换，不规则密度体重力场计算，竖直圆柱体重磁场计算，用泰勒多项式及最小平方2乘的剩余异常计算，（主要适用于地磁场以及重力场的转换）(FUNCTION : THIS ROUTINE IS USED TO CALCULATE GRAVITY FOR VARIABLE DENSITY OF 2D BIVARIATE TRAPEZOID BODY Function : This program calculate derivation of order 2 and order 4 uesd in Geophysical Field（magmagnetic，gravity field） FUNCTION : THIS ROUTINE IS USED TO CALCULATE GRAVITY FOR VARIABLE DENSITY OF 2D BIVARIATE TRAPEZOID BODY Purpose: Continuation of potential fields (upward and downward continuation ) Function: This program will calculate residual anomaly,)

三种帧同步算法的MATLAB代码,具有良好的算法效果，可以使用，请大家下载(Three kinds of frame synchronization algorithm MATLAB code, a good algorithm results, you can use, please download)

含噪脉冲信号进行相关检测,信号处理中的旋转不变子空间法，代码里有很完整的注释和解释。( Noisy pulse correlation detection signal, Signal Processing ESPRIT method, Code, there are very complete notes and explanation.)

ADINA 系统是一个单机系统的程序，用于进行固体、结构、流体以及结构相互作用的流体流动的复杂有限元分析。借助 ADINA 系统，用户无需使用一套有限元程序进行线性动态与静态的结构分析，而用另外的程序进行非线性结构分析，再用其他基于流量的有限元程序进行流体流动分析。此外， ADINA 系统还是最主要的、用于结构相互作用的流体流动的完全耦合分析程序（多物理场）。(ADINA System is a stand-alone system program for performing complex fluid flow finite element solid structure, and fluid structure interaction analysis. With ADINA system, users do not need to use a finite element program linear static and dynamic structural analysis, but with additional nonlinear structural analysis program, and then the other program flow based on finite element analysis of fluid flow. In addition, ADINA system or main, fully coupled analysis program for fluid flow structure interaction (multi-physics).)