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numerical_analysis_homework
(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)
- 2009-03-16 09:06:09下载
- 积分:1
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modvalidity
说明: 利用模糊聚类原理,Matlab工具完成对象识别,仿真成功(Using the fuzzy theory, Matlab tools to complete object recognition, simulation success)
- 2010-03-31 20:40:58下载
- 积分:1
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Kalman-filter
这是一本详细描述滤波方法的书籍,同时书中给出了详细的matlab实现,具有很好的实际应用价值(This is a detailed description of the filtering method of the book, the book also gives detailed matlab implementation, has good practical value)
- 2011-05-31 11:20:12下载
- 积分:1
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erplab_4.0.3.1
codes for erp lab. a lot of functionalities foe eeg
- 2015-01-15 15:18:35下载
- 积分:1
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51CT
本程序是基于Matlab开发的,描述了一个机器人自动寻找最优路径的问题,使之得到了很好的解决。(This program is developed based on Matlab, describes a robot automatically finds the optimal path problem, so that it can be a good solution.)
- 2010-11-18 10:59:31下载
- 积分:1
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dct1_embed
Optical flow or optic flow is the pattern of apparent motion of objects, surfaces, and edges in a visual scene caused by the relative motion between an observer (an eye or a camera) and the scene.[2][3] The concept of optical flow was first studied in the 1940s and ultimately published by American psychologist James J. Gibson[4] as part of his theory of affordance. Optical flow techniques such as motion detection, object segmentation, time-to-collision and focus of expansion calculations, motion compensated encoding, and stereo disparity measurement utilize this motion of the objects surfaces and edges.[5][6]
- 2012-03-31 23:41:52下载
- 积分:1
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tomography-modelling
this is main program of tomography modelling
- 2012-07-03 12:20:24下载
- 积分:1
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pip_audio
这是一段用于谱分析算法中的求蝶形算子的
子程序,此程序采用C语言编写,移植性比较强(This is a period for the spectral analysis algorithm for the subroutine butterfly operator, this procedure using C language, the transplantation of relatively strong)
- 2008-03-17 18:31:09下载
- 积分:1
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OS-ELM
说明: 极限学习机(Extreme Learning Machine, ELM)是一类基于前馈神经网络(feedforward neuron network)的机器学习算法,(Extreme Learning Machine, ELM)
- 2019-05-14 13:06:35下载
- 积分:1
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HMM1
一个HMM的Matlab实现方法,可实现孤立词语音识别(The Matlab realize a HMM method can realize an isolated word speech recognition)
- 2007-07-26 12:59:54下载
- 积分:1