20060401

说明：  主要用于Fluent 中风剖面、湍流剖面以及耗散率剖面的开发，应用的是日本的规范。(It is mainly used for the development of fluent stroke profile, turbulence profile and dissipation rate profile, and it is applied to the specifications of Japan.)

FFT/IFFT 变换程序----------------(FFT/IFFT transformation process----------------)

fluent 软件动网格计算的CAS文件和二次开发程序。用来计算一个蜜蜂翅膀摆动时周围流畅的变化。(fluent moving grid computing, software, documents and secondary development of CAS procedures. Used to calculate the wings of a bee when swinging around the smooth changes.)

％ 奇异值分解 (sigular value decomposition,SVD) 是另一种正交矩阵分解法；SVD是最可靠的分解法， ％ 但是它比QR 分解法要花上近十倍的计算时间。[U,S,V]=svd(A)，其中U和V代表二个相互正交矩阵， ％ 而S代表一对角矩阵。 和QR分解法相同者， 原矩阵A不必为正方矩阵。 ％ 使用SVD分解法的用途是解最小平方误差法和数据压缩。用svd分解法解线性方程组，在Quke2中就用这个来计算图形信息，性能相当的好。在计算线性方程组时，一些不能分解的矩阵或者严重病态矩阵的线性方程都能很好的得到解( Singular value decomposition (sigular value decomposition, SVD) is another orthogonal matrix decomposition method SVD decomposition is the most reliable method, but it takes more than QR decomposition near ten times the computing time. [U, S, V] = svd (A), in which U and V on behalf of two mutually orthogonal matrix, and the S on behalf of a diagonal matrix. And QR decomposition are the same, the original matrix A is no need for the square matrix. The use of SVD decomposition method are used as a solution of least squares error method and data compression. Using SVD decomposition solution of linear equations, in Quke2 on to use this information to calculate the graphics performance quite good. In the calculation of linear equations, some indecomposable matrix or serious pathological matrix of linear equations can be a very good solution)

C++的求阶乘的程序，对本科C++课程可能有些帮助(Factorial in C++ program, it maybe helpful for some C++ course)

其基本思想是取B样条函数 为及基函数，在[a,b]中均匀划分区间，xi=a+ih,h=(b-a)/n,由于三次样条函数空间是n+3维的，所以把分点扩充到x-1,xn+1,则任意三次样条函数可用 线性组合来表示：(The basic idea is to take B-spline function and basis functions in [a, b] in the evenly divided intervals, xi = a+ ih, h = (ba)/n, because the cubic spline function is n+3 dimensional space , so the expansion points to the x-1, xn+1, then any cubic spline function can be expressed as a linear combination:)

说明：  使用C++写的一个可以自动(在运筹学领域)计算单纯形表，并打印每一步的运算结果(a simple code to compute simplex table in operating research and print out the result of each step.)

数字信号处理FFT算法rfft.c，简单易懂。。(Digital signal processing FFT algorithm rfft,Straightforward..)

基于FFT的海面模拟。能够实现海面的复制，波浪模拟效果较好。(FFT-based simulation of the sea. Be able to achieve replication of the sea, wave simulation better.)

数值计算各算法的程序,包括:牛顿迭代法,超松驰迭代法,微分法等.对于初学数值分析这门课程的人有很大的帮助.(Numerical calculation procedure of the algorithm, including: Newton iteration, ultra-relaxation iteration method, differential method and so on. Beginner numerical analysis for this course were very helpful.)