2_Brusselator_Heun_period_boundary

一个实现sor超松弛迭代法的c语言算法，可以帮助新手完成矩阵计算(A C language algorithm for realizing over relaxation iterative method)

对平面上给定的多点进行多项式曲线的拟合，可设置拟合多项式的次数(Given more points on the plane polynomial curve fitting, you can set the number of polynomial fitting)

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：  含随机出题（四则运算）及其迭代程序、返回数组中最大子数组和及其迭代程序等。(Software class operations, including four operations and iterative procedure, returns an array of sub-arrays and the largest and Iterative procedures)

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)

三次样条插值c++头文件，一些头文件，非常好(Cubic spline interpolation c++ header files, some header files)

划分网格一个开源的库，有限元的算法，很好用(Meshing an open source library = for finite element)

经典非线性动力学模型，布鲁塞尔子模型，可直接运行，运算效率高。(nonlinear dynamics Brusselator model)

对机械中的振动信号进行傅立叶变换，作出频谱图进行分析。(Fourier transform of the vibration signal)

线宽计算，用matlab计算线宽。可以得到的值来分析和使用半导体激光器线宽的联系(linewidth calculator)