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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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FUZZCLUST
matlab上实现的模糊聚类算法，相当有用，是一个聚类工具箱。(matlab on the fuzzy clustering algorithm to achieve very useful, is a cluster toolkit.)
- 2009-04-25 11:44:14下载
- 积分：1
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GS_CH_MOPSO_Grey
多目标非线性约束的粒子群算法，采用灰度理论，混沌理论，动态惩罚函数，可针对任何复杂函数进行优化，效果很好(Nonlinear constrained multi-objective particle swarm algorithm, using gray theory, chaos theory, dynamic penalty function can be optimized for any complex function, the effect is very good)
- 2021-05-13 22:30:02下载
- 积分：1
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GoldGenerator
通信中DOLD序列产生器------------------。(Communication DOLD sequence generator.------.)
- 2013-04-16 21:13:55下载
- 积分：1
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基于细菌觅食算法的光伏阵列MPPT控制方法.rar
说明： 针对光照不均匀条件下光伏阵列 P-V 输出特征呈现多波峰，传统算法无法摆脱局部最优值的缺点，该文提出了一种基于细菌觅食的优化算法，并首次应用于光伏阵列的最大功率点跟踪（MPPT）。(In order to solve the problem that the photovoltaic array P-V output characteristic presents multi peaks under the condition of uneven illumination, the traditional algorithm can not get rid of the local optimal value
Based on the optimization algorithm of bacterial foraging, it is applied to the maximum power point tracking (MPPT) of photovoltaic array for the first time. The algorithm introduces the trend operation, which is used for the local optimization)
- 2019-12-12 16:26:16下载
- 积分：1
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ronghe2133
说明： 小波变换在多尺度下检测分解重构图像，以及融合边缘算法。(Under the multi-scale wavelet decomposition of the reconstructed image detection, and edge fusion algorithm.)
- 2011-03-06 13:07:34下载
- 积分：1
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Ellipsefitting
已知离散的坐标数据，利用这些坐标点进行椭圆拟合的程序(Known coordinates of discrete data points to use these coordinates ellipse fitting procedure)
- 2010-05-12 09:39:02下载
- 积分：1
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vol01
实现期货的交易策略。固定点位止损，固定点位止盈。日内交易，并且尾盘平仓。(Futures trading strategies. Fixed point and stop, the fixed point only the profit. Day trading, and open late.)
- 2012-08-09 00:39:09下载
- 积分：1
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Fuzzy_Control_System_for_a_Tanker_Ship
This matlab program simulates a fuzzy control system for a tanker ship.
- 2010-03-11 21:04:47下载
- 积分：1
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Space-Time-Coding
[时空译码－无线通讯技术]的书籍,对初学者及深入研究都非常有益的一本书。(Space-Time Coding，a very useful book for first learners and further research.)
- 2011-04-28 11:38:44下载
- 积分：1
