foundations-of-linear-operator-theory-2005

计算离散傅里叶变换的一种快速算法，简称FFT。快速傅里叶变换是1965年由J.W.库利和T.W.图基提出的。采用这种算法能使计算机计算离散傅里叶变换所需要的乘法次数大为减少，特别是被变换的抽样点数N越多，FFT算法计算量的节省就越显著。(A computing discrete Fourier transform fast algorithm, referred to as FFT. Fast Fourier Transform in 1965 by the JW Cooley and TW Tuji Ti out. Using this algorithm enables a computer to calculate the number of multiplications needed for the discrete Fourier transform greatly reduced, especially sampling points N is transformed more and save FFT algorithm to calculate the amount of the more remarkable.)

实现复数运算符的重载，对C++初学者来说有一定的参考价值。(Complex operator overloading, C++ beginners a certain reference value . )

说明：  光流场HS算法，主要用的是差分算法，MATLAB编写(Optical flow field HS algorithm, the main differential algorithm)

使用Unscented Kalman Filter进行SLAM，主要用于机器人定位和地图自动绘制，UKF的效果要优于EKF，当然计算量也大些。(The Matlab code for SLAM using Unscented Kalman Filter, mainly used for robot localization and map building)

说明：  利用MATLAB实现了16位快速傅立叶变换，并与自包含函数进行了比较。(The 16-bit Fast Fourier Transform is realized by using MATLAB and compared with the self-contained function.)

C-N解偏微分方程的程序。解的是定步长的抛物型偏微分方程： du/dx - a * d2u/dx2 = 0 在程序中可以更改 a 的值以实现不同系数的解。在循环中改变 a 的值以实现变系数. 该说明在压缩包是也有(CN solution of partial differential equations procedures. Solution is scheduled to step parabolic partial differential equation: du/dx- a* d2u/dx2 = 0 in the procedure can be changed in order to realize the value of a different coefficient of the solution. Change in the cycle in order to realize the value of a variable coefficient. The note in the compressed packet is also)

IEEE14节点接入一个风电场的牛拉法潮流计算MATLAB程序（含线路和风电机组的参数），里面有注解，方便理解。(IEEE14 Nodes System connected to a wind farm cattle MATLAB rafa power flow calculation (including lines and the parameters of the wind turbines), there are annotations, easy to understand)

begining of UMAT in abaqus

本程序是采用有限体积法求解二维对流扩散方程的经典程序。程序里包含各种离散方法，划分网格方法等。适合CFD初学者阅读。(The program is two-dimensional finite volume method for solving convection-diffusion equation of the classic program. Program includes a variety of discrete methods, meshing methods. CFD for beginners)

fluent中用于修改湍流粘度系数的自定义函数(udf to modify turbulence viscosity coefficient in fluent)