2DPhC_PWEBandstructure

封闭方腔自然对流格子布尔兹曼程序，在瑞利数为2000及4000时的两种算例，包括说明文字。(Closed square cavity natural convection lattice Boltzmann method)

通过FORTRAN编写damage子程序，在板材成形中实现破裂的可视化及成形极限预测(FORTRAN subroutine written by damage to achieve rupture of visualization in sheet metal forming and forming limit prediction)

计算方法：主要是高斯消去法的C语言算法实现(Calculation method: Gaussian elimination)

可以方便求解非线性偏振旋转锁模光纤激光器的脉冲传输(You can easily solve the nonlinear polarization rotation mode-locked fiber laser pulse transmission)

各种数值积分，龙贝格积分。反常积分。高斯积分。三重积分。(Various numerical integration Romberg integration. Improper integrals. Gaussian integral. Triple integral.)

Hilbert Haung spectrum

说明：  分维反映了复杂形体占有空间的有效性，它是复杂形体不规则性的量度。它与动力系统的混沌理论交叉结合，相辅相成。它承认世界的局部可能在一定条件下或过程中，在某一方面（形态，结构，信息，功能，时间，能量等）表现出与整体的相似性，它承认空间维数的变化既可以是离散的也可以是连续的，进而拓展了视野。(Fractal dimension reflects the validity of space occupied by complex bodies, which is a measure of irregularity of complex bodies. It combines with chaos theory of dynamic system and complements each other. It recognizes that the part of the world may be similar to the whole in certain conditions or processes (form, structure, information, function, time, energy, etc.). It recognizes that the change of spatial dimension can be discrete or continuous, thus expanding the horizon.)

FFT with fix point 2*N

nsolgm 算法 是求解非线性方程组的一种非常有效而且又快捷的方法(nsolgm algorithm for solving nonlinear equations is a very effective and efficient way and)

matlab code for exponential PSO