矩阵鞍点求法

水质模型，用于计算河流下游及河口水环境容量(use for water quality)

自己写了一个二维Euler方程的间断有限元程序 上次发了一个三角形单元的程序 因为不是曲边单元 所以在圆柱后面容易形成涡 现在把程序改为曲边四边形单元了 没有涡出现 单元是8节点四边形单元 节点编号顺序是 1 5 2 6 3 7 4 8 也就是四个角点依次 是1 2 3 4 然后是边的中点编号 5 6 7 8. 时间推进采用 Runge-Kutta 方法 数值通量采用全局Lax-Friedrichs通量 仍然不能捕捉激波 因为没有做重构或者加人工粘性 等这个做出来了 再发一次。 程序没有进行优化 比如说内存的消耗没有优化 比如直边单元的边界积分仍然采 用了曲边的积分方法 增加了计算量 比如面积分、线积分都是采用的是Gauss- Legendre-Lobatto积分 积分精度会比一般的Gauss-Legendre积分精度低一阶 等 等问题。 二维的 纯属交流性质 就没有考虑这些问题 ^_^ 如果物面全部是直边 那么只要改变一个参数N 就可以获得不同的计算精度 且具 有谱精度 因为单元的节点是Gauss-Legendre-Lobatto积分点。 其实就是谱元法 （物面是曲边的情况我不清楚是不是也可以通过提高基函数的阶数 也就是增加N 来提高计算精度）(Wrote a two-dimensional Euler equations with discontinuous finite element program Last made ​ ​ a triangular element of the program, not curved edge unit is so easy to form a vortex in the cylinder behind the Program to curved edge quadrilateral element vortices appear Unit is the order of 8-node quadrilateral element node number is 15,263,748 which is the four corners of the points in turn Is 1234 and then the side of the midpoint of the number 5678. Time promote the use of Runge-Kutta method Numerical flux of the overall situation of Lax-Friedrichs, flux Still can not capture the shock wave did not do the reconstruction or artificial viscosity do it Zaifayici. The program is not optimized for example, memory consumption is not optimized such as straight-edge boundary integral of the unit is still mining Integral method to increase the amount of computation such as surface integral with a curved edge, the line integral using the Gauss- The Legendr)

fft傅里叶快速变化程序，里面说的很清楚，很使用。(FFT Fourier rapid change program, which made it very clear, is to use. )

F-K域偏移法和相移法偏移程序（C语言）(FK domain migration method and the phase- shift method migration program (C language))

一个通用的CFD求解器，代码结构清楚，简洁，适用于开发自己的CFD程序。(A general of CFD solver, the code structure is clear, concise, applicable to the development of the CFD program.)

MFC实现快速傅里叶变换（FFT）MFC实现快速傅里叶变换（FFT）(MFC MFC Fast Fourier Transform (FFT) fast Fourier transform (FFT))

用于求解超定方程组最小二乘解，稳定性高，速度快(To get the least square solution of superlattice dislocation.)

一圆形游泳池如图所示，现在需在其周围建一圆形过道，并在其四周围上栅栏。 栅栏价格为35元/米，过道造价为20元/平方米。 过道宽度为3米， 游泳池半径由键盘输入。 要求编程计算并输出过道和栅栏的造价。(A circular pool as shown in figure, now in its built around to a circular corridor, and in its 4 around on the fence. The fence for 35 yuan/m price, corridor cost for 20 yuan/square metre. Aisle width is 3 meters, The radius of the swimming pool by keyboard input. Demand and output programming calculation of corridor and the cost of the fence. )

响应面方法的一个例子，二阶响应面，使用正交矩阵法求解(rsm algorithms )

计算机常用数值算法与程序(C++版) (Commonly used numerical algorithm of computer and program )