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fluent软件的UDF程序，是焊接过程的热源，热源类型为双椭球空间热源。(fluent udf heat source)

分别用梯形法和矩形法求定积分，附加应用实例(, Respectively, with the trapezoidal method and the rectangle method to find definite integrals, additional application examples)

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:)

对平面上给定的多点进行多项式曲线的拟合，可设置拟合多项式的次数(Given more points on the plane polynomial curve fitting, you can set the number of polynomial fitting)

程序采用C语言，实现最小二乘辨识算法和递推最小二乘算法(Program using C language, least squares identification algorithm and recursive least squares algorithm)

传输矩阵法用于计算光纤光栅的有效折射率，是一种经典的数学算法(Matrix function)

说明：  距阵链乘问题: 找出矩阵链乘A(35*40) A(40*20) A(20*10) A(10*15)的最佳相乘次序。 算法来自:计算机算法导引(matrix chain by : identify matrix chain by A (35* 40) A (40* 20) A (20* 10) A (10* 15) concludes the best order. Algorithm from : computer algorithm Seeker)

说明：  给定四个数（1--13），判经过四则运算后能否得到结果24，若能，输出表达式。 (Given the number four (1- 13), after sub after four computing results can be 24, if the output expression.)

面向对象的有限元程序设计 ——空间8结点等参元的分析计算(Object-oriented finite element program design- space 8 node isoparametric element analysis calculation)

用LBM结合非平衡外推方法实现的圆柱绕流，柱面边界以非平衡外推方法实现。(LBM combined with the extrapolation method of achieving non-equilibrium flow around a cylinder, cylinder boundary to achieve non-equilibrium extrapolation method.)