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matlab Newmark法 用于求解二阶常系数微分方程组(matlab Newmark method for solving second-order differential equations with constant coefficients)

电容层析成像Tikhonov算法的演示实例，带有详细的说明(An example of a demonstration of the Tikhonov algorithm for capacitance tomography, with a detailed description)

牛顿迭代法，用于求解非线性方程，具体使用方法见程序内部说明。(Newton iteration for solving nonlinear equations, the specific use of the procedure see the internal note.)

针对传统的算法如遗传算法、粒子群算法等在TSP问题上求解精确性和求解规模上都还有一定的不足，本文提出了一种基于动态规划思想的粒子群优化算法。该算法用动态规划的方法实现粒子间的信息交互和粒子的进化，并且将粒子群中的粒子按无标度信息指导网络拓扑图的方式进行连接。仿真结果表明该方法能有效地减小误差率，提高解的精确，同时还保持了较低的计算复杂度，具有良好的稳健性。(TSP problem solving for the traditional algorithms such as genetic algorithms, particle swarm optimization accuracy and solving the scale, there is a certain lack of a dynamic programming algorithm-based particle swarm optimization algorithm. The algorithm using dynamic programming method to achieve the evolution of information exchange between the particles and the particles, and particle swarm particle scale-free information guide network topology map to connect. The simulation results show that this method can effectively reduce the error rate and improve the solution precision, while maintaining a low computational complexity, good soundness.)

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.)

根据张北气象数据，算得当地大型光伏发电系统的输出功率已经镜面温度(According to Zhangbei meteorological data, the mirror temperature of output power of local large-scale photovoltaic power generation system is calculated.)

abaqus有限元软件umat（damage）(abaqus finite element software umat (damage))

可以求解雷洛方程的膜厚和载荷方程，读者可以稍微修改相关参数就可以应用到自己的公式和相关数学模型中(Reynolds model to develop the film-thickness and hydrodynamic load. )

计算多重分形非趋势波动分析matlab程序,包括脚本文件和函数文件形式，AHP层次分析法计算判断矩阵的最大特征值。( Calculation multifractal detrended fluctuation analysis matlab program, Including script files and function files in the form, Calculate the maximum eigenvalue judgment matrix of AHP.)

说明：  相场基础书籍的配套计算代码，对于学习相场法的基础同学来说极其有用(The supporting calculation code of the phase field basic book is extremely useful for the students who are studying the basic method of the phase field method.)