program-ga

(有源代码)数值分析作业,本文主要包括两个部分,第一部分是常微分方程(ODE)的三个实验题,第二部分是有关的拓展讨论,包括高阶常微分的求解和边值问题的求解(BVP).文中的算法和算例都是基于Matlab计算的.ODE问题从刚性(STIFFNESS)来看分为非刚性的问题和刚性的问题,刚性问题(如大系数的VDP方程)用通常的方法如ODE45来求解,效率会很低,用ODE15S等,则效率会高多了.而通常的非刚性问题,用ODE45来求解会有很好的效果.从阶次来看可以分为高阶微分方程和一阶常微分方程,高阶的微分方程一般可以化为状态空间(STATE SPACE)的低阶微分方程来求解.从微分方程的性态看来,主要是微分方程式一阶导系数大的时候,步长应该选得响应的小些.或者如果问题的性态不是太好估计的话,用较小的步长是比较好的,此外的话Adams多步法在小步长的时候效率比R-K(RUNGE-KUTTA)方法要好些,而精度也高些,但是稳定区间要小些.从初值和边值来看,也是显著的不同的.此外对于非线性常微分方程还有打靶法,胞映射方法等.而对于微分方程稳定性的研究,则诸如相平面图等也是不可缺少的工具.值得提出的是,除了用ode系类函数外,用simulink等等模块图来求解微分方程也是一种非常不错的方法,甚至是更有优势的方法(在应用的角度来说).((Source code) numerical analysis homework, this docment includes two parts, the first is ordinary differential equations (ODE) of the three examples, the second part is about the expansion of the discussion, including the higher-order ordinary differential & boundary value solution Problems (BVP). the text of the algorithm and numerical examples are based on the Matlab. ODE from the rigid (STIFFNESS) look into the issue of non-rigid and rigid problem, rigid problems (such as large coefficient VDP equation) such as using the always method ODE45 used to solve the problems , efficiency will be low, with ODE15S the other hand, many of the high efficiency. and the usual problem of non-rigid, there will be used to solve ODE45 very good results. Judging from the order can be for high-order differential equations and first-order ordinary differential equations, higher-order differential equations can be transformed into a general state space (STATE SPACE) used to solve the low-order different)

本书从MATLAB仿真角度系统地介绍了PID控制的基本理论、基本方法和应用技术，是作者多年来从事控制系统教学和科研工作的结晶，同时融入了国内外同行近年来所取得的新成果。? (MATLAB simulation system from the perspective of the book introduces the basic theory of PID control, the basic method and application technology, is a system of control for many years in the crystallization of teaching and research work, taking into the domestic counterparts in recent years, new results obtained . ?)

说明：  matlab格式源代码。功能：利用改进遗传优化算法解决BP神经网络中局部最小问题。(matlab source code format. Function: the use of improved genetic optimization algorithm BP neural network to solve local minimum problems.)

模式识别经典书籍的Matlab源代码，很适合从事神经网络，模式分类方面的研究人员(Pattern Recognition classic books Matlab source code, it is suitable for neural networks, pattern classification, researchers)

lingo软件的详细教程，适合初学者学习，看来便会用它解决复杂的规划问题。(lingo software detailed tutorial for beginners to learn, it would seem to solve complex planning problems.)

直升机的三个姿态角的pid控制算法，matlab中的simulink仿真程序，配合最优pid设计算法，得到很好的控制效果(Three attitude angle of the helicopter pid control algorithm matlab in simulink simulation program, with the optimal pid design algorithm, well controlled)

用线形天线阵（ULA）进行波达方向估计，代码、注释与说明(Estimate the direction of arrival (DOA) by MUSIC/ESPRIT methods using ULA. Matlab codes and documents included.)

这是一本介绍使用matlab中现有函数对图像进行处理的入门书(This is an introduction to use matlab function of the existing image of the entry-book deal)

可以直接对图形进行3次变换，对学习使用matlab图像处理的人或许有帮助(Graphics can transform it might be helpful to learn how to use matlab image processing)

扩展有限元XFEM，结构断裂分析的扩展有限元法(EXTENDED FINITE ELEMENT METHOD for Fracture Analysis of Structures)