fracture_network

含约束的优化问题求解案例，算法简单，求解很方便实用(Constrained optimization problem solving case, the algorithm is simple, easy to solve, practical)

采用分段逐步计算，结合快速傅立叶变化，计算群速色散和自相位调制在光纤中对所传输的飞秒脉冲的影响。(Using split-step computation, combined with Fast Fourier Transform Algorithm, calculated the influence to transmission of the femtosecond pulse about the group velocity dispersion and the phase modulation in the fiber.)

说明：  经典99行拓扑优化程序，采用Heaviside方程获得接近0-1离散解(The classical 99-line topology optimization program uses Heaviside equation to obtain nearly 0-1 discrete solution)

边界元法，可以求解外声场、内声场,在此基础上可以开发出快速边界元法(boundary element method for acoustic problem)

说明：  FFT，整型数据代替浮点型数据 本程序是搜集资料并加上自己的分析，整了很长时间才测试通过的FFT程序，运行时间和所占内存方面都比较满意。(FFT, integer data instead of floating point data This program is to collect data and add their own analysis, the FFT program passed the test for a long time, the running time and memory occupied are relatively satisfactory.)

程序采用C语言，实现最小二乘辨识算法和递推最小二乘算法(Program using C language, least squares identification algorithm and recursive least squares algorithm)

说明：  本模拟是采用分步傅里叶的解，求光孤子在光线内传输过程数值求解薛定谔方程。方程是激光器在光纤中传输的过程。(In this simulation, the fractional Fourier solution is used to solve the Schrodinger equation. The equation is the process of laser transmission in fiber.)

说明：  分数阶傅里叶变换计算方面的文章，另附程序清单(Fractional Fourier transform calculation of the article, followed the list of procedures)

说明：  abaqus周期性边界条件代码，可以参考学习(ABAQUS periodic boundary condition code can refer to learning)

幂律分布的数据案例，这个案例数据有助于理解幂律分布的计算公式。(The case of power-law distribution of data, case data will help to understand the power-law distribution formula.)