ImmKalman

幂律分布的数据案例，这个案例数据有助于理解幂律分布的计算公式。(The case of power-law distribution of data, case data will help to understand the power-law distribution formula.)

说明：  通过MATLAB编程模拟理想弹塑性应力应变曲线(Simulating the stress-strain curve for perfect plasticity by MATLAB coding.)

说明：  用于在数值分析中，对于离散点进行拉格朗日差值拟合(Lagrangian difference fitting)

考虑直齿轮热弹耦合，计算啮合刚度及齿轮摩擦热(To thermoelastic coupling calculation consider spur gear meshing stiffness and gear frictional heat)

用DFT 函数计算电压u, 电流i的基波(f1=50 Hz)的有效值和相位; 用FFT函数分别计算电压u和电流i 所包含的直流,基波和谐波的有效值和初相角; 可计算基波(f1=50 Hz)和各次谐波的功率p和功率因数con?.(The effective value and phase of fundamental wave (f1 = 50 Hz) of voltage U and current I are calculated by DFT function. The effective values and initial phase angles of DC, fundamental and harmonic waves contained in voltage U and current I are calculated by FFT function, respectively. The power P and power factor con of fundamental wave (f1 = 50 Hz) and harmonics can be calculated.)

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)

灰色预测模型，对未来数据进行预测，同时还有误差检测(GM(1,1),Grey prediction model, which can forecast future data and detect errors at the same time)

说明：  通过matlab实现抽样检测功能，具体通过蒙特塔罗算法依照概率分布计算指定变量的分布规律，是初学者的好案例(The sampling detection function is realized by matlab, and the distribution rule of specified variables is calculated by Montreal algorithm according to probability distribution.)

欧拉角和四元数的转换：输入偶欧拉角，按Rechnen，程序会自动将欧拉角转换为四元数，再得出最终的方位。(Euler angles and quaternion conversion: input dual Euler angles, press Rechnen, the program will automatically Euler angles conversion quaternion, and then come to the final orientation.)

利用FDTD算法简单计算波导耦合环的M文件。( M-file of using FDTD approach simulation the waveguide coupling ring)