case5

一维 问题，即激波管问题，是一个典型的一维可压缩无黏气体动力学问题，并有 解析解。对它采用二阶精度 两步差分格式进行数值求解。(Use MacCormack difference scheme for solving a two-dimensional shock tube problem)

说明：  线性代数同济第六版,最适用的一版,有书签(Linear algebra tongji sixth edition)

实现构建矩阵，矩阵的相加，相减，清零，以及转置，还有相乘的功能。(To build matrix, the matrix addition, subtraction, reset, and transposed, and the function of the multiplication. )

该程序用来对多种物质混合物吸收光谱数据进行分析，拟合出光谱曲线并且得到其各个峰值位置所在。(The program is used for a variety of mixtures of substances absorption spectral data analysis, curve fitting, and by their spectral location of each peak.)

求概率分布函数的参数方法 采用迭代法估计Beta分布的分布参数，(Estimation of distribution parameters of Beta distribution by iterative method)

附件中是我用Fortran写的lorenz混沌吸引子的lyapunov指数谱产生程序。包括三部分内容：如何产生lorenz吸引子，详细注释，如何计算lyapunov指数谱。 需要的话也可以单独提取子程序中的四阶龙格库塔算法。 希望有所用。(Annex is written in Fortran I used the Lorenz chaotic attractor of lyapunov index spectrum generation process. Includes three parts: how to generate Lorenz attractor, detailed notes, how to calculate the spectrum lyapunov index. If necessary, extraction can also be a separate subroutine in the fourth-order Runge-Kutta algorithm. Would like to see used.)

说明：  一个用C语言编写的求混沌序列的源程序,挺好的!(a C language for the chaotic sequence of the source, very good!)

完整的模式识别库，包括矩阵运算，各种模式识别算法，如K均值、SVM、RVM、NN、LDA等(Complete pattern recognition library, including matrix computation, a variety of pattern recognition algorithms, such as K-means, SVM, RVM, NN, LDA, etc.)

说明：  编程教程，帮助入门学者学习建模，从初级开始，逐步深化，非常有帮助(Programming tutorials, help beginners learn modeling, from the beginning, gradually deepen, very helpful)

说明：  用于非线性常微分方程的解的重要的一类隐式或显式迭代法，使用龙格库塔计算激光器的速率方程。(An important class of implicit or explicit iterative methods for solving nonlinear ordinary differential equations is to use Runge Kutta to calculate the rate equations of lasers.)