lyapunov--exponent

基于GWBASIC实现的无约束寻优算法，内附GWBASIC主程序和说明(Non-binding on GWBASIC achieve optimization algorithm, the main program and instructions included GWBASIC)

说明：  气泡上浮实验，基于fluent的二维模型(Bubble Floating Experiment)

包括牛顿法，阻尼牛顿法，变尺度算法，最速下降法的优化算法程序。(Newton' s method, damped Newton method, variable metric algorithm, the steepest descent method optimization algorithm.)

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)

电磁场圣经，林为干院士的书,学习电磁场重要材料(EMF Bible, it' s dry academician of the book, an important material for studying the electromagnetic field)

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)

反密法在数值计算中的地位就不用我来一一列举了，此程序就可以轻易的使其实现。(anti-secret numerical calculation method in the position I would not have to list them one by one, this procedure can easily achieve it.)

使用JAVA模拟FFFT算法 快速傅里叶算法 (Use JAVA simulation FFFT algorithm Fast Fourier Transform Algorithm)

C++程序求两点距离 可以点入坐标点(C++ program distance between two points)

最优潮流计算程序（使用电力系统专业，属于非线性规划问题）．(optimal power flow calculation procedure (using power systems professional, is Nonlinear Programming).)