LSHNR5

利用有限元理论，求一二维梁的固有频率和振型。短边固定，给定长度、横截面积，弹性模量及材料密度已知。并对比理论计算结果进行分析。各参数自己设定。(Using finite element theory, seeking a two-dimensional beam natural frequencies and modes. The short side is fixed, given the length, cross-sectional area, modulus of elasticity and density of the material is known. And compare the theoretical calculation results were analyzed. Each parameter set.)

一维卡尔曼滤波算法，可以直接使用，通过系统噪声和测量噪声调整灵敏度。(One dimensional Calman filtering algorithm can be directly used to adjust the sensitivity through system noise and measurement noise.)

求解二阶变系数常微分方程,主要用于涡激振动中频率响应的计算(Solving second-order ordinary differential equations with variable coefficients)

说明：  通过面积加权在abaqus程序中提取温度作用数据，计算极值(The temperature action data was extracted by area weighting in abAQUs program and the extreme value was calculated)

外点罚函数方法，可以用来求解约束优化问题，也可以用来被调用在智能算法中(Point outside the penalty function can be used for solving constrained optimization problems, can also be used in intelligent algorithm called)

一维欧拉方程计算，集合了Lax-Friedrichs，Richtmyer，MacCormack，Steger-Warming，Van Leer，AUSM，Zha-Bilgen，Godunov，Osher，Roe，Rusanov，HLL(HLLE)，HLLL，AUFS方法(One dimensional Euler equation, including Lax-Friedrichs, Richtmyer, MacCormack, Steger-Warming, Van Leer, AUSM, Zha-Bilgen, Godunov, Osher, Ro, Rusanov, HLL(HLLE), HLLL, AUFS)

说明：  利用四阶龙格库塔求解微分方程，并给出方程实例。(The fourth order Runge Kutta is used to solve the differential equation and an example is given.)

素性检测的miller-rabin算法。。。。。(Primality testing)

读入断面数据，根据地形，水位,进行相应计算 (calculate the area and depth )

采用拉格朗日算法求解机组组合问题，采用的是5机系统(Lagrange algorithm for unit commitment problem, 5 machine system)