qang-bs46

21位水仙花数的寻找，里面用到了大数乘法等细节上的东西。(find the 21 digits narcissus.)

最小二乘法在二维平面测向交叉定位里的应用(The least squares method in the two-dimensional plane measured to cross positioning)

非线性有限元及程序这本书,很有用的，程序也很全面(NONLINEAR FINITE ELEMENT AND PROGRAM)

实现光学系统的ABCD矩阵传递的模拟，提供各种的模式衍射选着。(kelinsi xitong ABCDjuzhne)

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)

用于计算裂纹的扩展有限元程序，Matlab编写(Extended finite element program used to calculate the crack, Matlab prepared)

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.)

说明：  实现粒子滤波。包含运行模型，测量模型，重采样和归一化(Implement particle filter. Including operation model, measurement model, resampling and normalization)

这是数值分析中拟上三角法的实现程序,c语言(This is the numerical analysis to be on the triangulation procedures, language c)

采用分段逐步计算，结合快速傅立叶变化，计算群速色散和自相位调制在光纤中对所传输的飞秒脉冲的影响。(Using split-step computation, combined with Fast Fourier Transform Algorithm, calculated the influence to transmission of the femtosecond pulse about the group velocity dispersion and the phase modulation in the fiber.)