bicg_sparse

利用pid算法控制电机转速，转速可调，数码管显示，初学者实用(Using PID algorithm to control motor speed, adjustable speed, digital display, beginners practical)

二维涡流位置及流场分布计算程序，Vortex Panel Method (Two-dimensional eddy current distribution of the location and flow field calculation program, Vortex Panel Method)

别人的程序（Fortran）是关于边界元法求解声学问题。(Someone else' s program (Fortran) is on the boundary element method to solve acoustic problems.)

说明：  自定义浮点数的软件实现，支持和普通浮点数的互换。(Self-defined float compatible with IEEE 754)

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)

两种SQR迭代法:将x^K与上次计算的结果做加权平均作为最后结果(Two kinds SQR iterative method:the x ^ K and the results of the last calculated as a weighted average of the final results do)

潮流调和分析程序，非常实用，里面有说明文件，基本原理是采用最小二乘法来求解超定矩阵，各种参数用来控制选择分潮，间隔时间等。(harmonic analysis)

故障检测，分别是pls和pca，计算spe和t2控制量。(Fault detection is pls and PCA, respectively, to calculate SPE and T2 control.)

时间积分算法在有限元动力学中的应用，可以计算结构的瞬态响应(This class implements a Newmark beta-gamma predictor-corrector time inte- gration scheme, with accelerations as primary unknowns. .A Newmark scheme assigns to the dofs the following 5 unknowns : - the displacement d and its predictor D - the velocity v and its predictor V - the acceletion a . Their expressions are calculated by the dofs in class Dof.)

滤波求和方式实现宽带波束形成，从先验概率中采样，计算权重，最小均方误差（MMSE）的算法。( Filtering summation way broadband beamforming, Sampling a priori probability, calculate the weight, Minimum mean square error (MMSE) algorithm.)