PROgrams-of-materials

二阶微分方程组，采用龙格库塔法求解，将二阶降为一阶之后在求解。(Second-order differential equations, using the Runge-Kutta method to solve the second-order reduced to an order after solving.)

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.)

使用经典R/S方法计算赫斯特指数，以衡量数据的分型特性(using R/S method to caculate the Hurst exponent)

根据给定的等距结点上的函数值与一阶导数值, 用埃尔米特等距插值公式计算指定插值点处的函数值。(According to the given equidistant nodes function value with a first derivative values, with equidistant interpolation Hermite interpolation formula specified function value at the point.)

说明：  用C语言编写的Fluent UDF实例，包含Adjust宏，profile宏等八个实例教程，快速上手(The UDF is for computational fluid dynamics software Fluent, it concludes the Profile.c,the Adjust.c)

一阶偏微分方程的基础知识，很容易入门,很多工程处理要用到的(Introduce the basic knoeledge of Partial Differential Equation)

基于Ansys有限元软件，利用MPC技术对SOLID-SHELL单元进行连接实例—简支梁(Based on Ansys finite element software, the use of MPC SOLID-SHELL unit connected instance- Charpy)

用C语言实现二重积分数值计算，精度较高；并且仿照程序中实现二重积分的思想，可以很容易扩展到三重以上的积分。(Using C language to achieve double integral numerical calculation, high accuracy and follow the procedures realize the idea of double integral, can be easily extended to more than triple the points.)

用牛顿法，共轭梯度法，最速下降法完成矩阵的计算(Newton conjugate gradient method)

C语言矩阵求逆模块,输入矩阵调用此模块即可求出对应的逆矩阵(C language matrix inversion module)