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说明：  牛顿法又称牛顿-拉弗森方法（Newton-Raphson method），是一种在实数域和复数域上近似求解方程的方法。本程序收敛速度快，迭代步数可取大一些(Newton method, also known as Newton-Raphson method, is an approximate method for solving equations in real and complex fields. The program has fast convergence speed so the number of iteration steps can be larger.)

代数涡粘模型用于计算近壁湍流的速度场，1D 4阶RK 积分(Algebraic eddy viscosity model is used to calculate the near-wall turbulence velocity field, 1D 4-order RK integration)

该程序为fluent软件进行速度入口造波数值模拟，波浪为二阶stokes波(The program for the FLUENT software simulation of wave speed entrance numerical, two order Stokes wave)

结合粒子群优化算法和和声搜索算法的优点，有效将群智能思想和随机全局搜索相融合，在几个函数优化问题中得到了验证 (Combining particle swarm optimization algorithm and harmony search algorithm advantage, effective will swarm intelligence thought and random global search phase fusion, in several function optimization problem has been proved )

说明：  共轭梯度法求解线性方程组,主要采用FR共轭梯度法(solve liner solutions from CG)

首先根据高斯白噪声频率充满整个频带的特性，通过双树复小波包变换对高斯白噪声进行分解，利用频带能量泄漏的定量分析方法，验证了双树复小波包变换具有较低的频带能量泄漏特性；其次利用双树复小波包变换逐层分解信号，对每层分解所得分量求其FFT谱的峭度，得到基于双树复小波包变换的谱峭度图，根据图中峭度最大的原则，可以自动准确的选择信号分解最佳层数和最佳分量；最后将基于双树复小波包变换的谱峭度图的故障诊断方法应用于实际工程中，对齿轮故障振动信号进行分析，选择最佳分解层数和分量后利用希尔伯特包络解调，有效准确地提取了故障特征信息，验证了方法的可行性和有效性(The parameters of a filter were determined by experience, and that has a great influence on the results of signal processing. The discrete wavelet packet transform has a larger energy leakage of frequency band, which obviously affected the results of the envelope demodulation. It is necessary to have a method with a lower energy leakage of the frequency band before envelope demodulation. The dual tree complex wavelet packet transform (DT-CWPT) was a new signal processing method that had many good qualities. Because the energy leakage of the frequency band was smaller when the signal was decomposed by a dual tree complex wavelet packet transform, the dual tree complex wavelet packet transform was used to extract the fault feature information in the field of fault diagnosis. In this paper, first, according to the characteristics of Gaussian white noise, whose frequency was full of the whole frequency band, Gaussian white noise was decomposed by a dual-tree complex wavel)

说明：  该程序用有限元方法来处理标量亥姆赫兹方程，其实例是脊形介质波导中的光波。(The functino of the code is to slove Helmholtz equation by using finite element method (FEM). The example is an optical waveguide.)

利用蚁群算法求解TSP问题， 从Location.dat文件输入每个城市的坐标。(The use of Ant Colony Algorithm for TSP problems Location.dat file input from the coordinates of each city.)

//给定整数n，产生所有[2n]上的匹配（matching） //将其视为一个所有块大小均为2的集合分拆 //以a_i表示其第i个元素所在的集合号 //输出格式为 a1 a2 a3 ... //满足 //a_{i+1} <= max { a1,a2,...a_i } + 1 (//a given integer n, have all [2n] on the matching (matching)// will be considered as an all pieces are two sets of a split// a_i said in its i elements of a collection of lies// output format for a1 a2 a3 ...// meet// a_ i (a))

王勖成《有限单元法》里面的教学源程序,PROGRAM OF PLANE PROBLEM 96.1(Wang Aimin, "Finite Element Method," in which the source of teaching, PROGRAM OF PLANE PROBLEM 96.1)