numerical_compute

计算由样本矩阵X及其标签列向量label得到的csp投影矩阵 (calculate csp matrix )

二维粘弹性介质中波的传播的解析形式。应用Carcione等在1988年发表的《WAVE PROPAGATION SIMULATION IN A LINEAR VISCOELASTIC MEDIUM》一文中的方法，更加详细的介绍见英文描述。该代码对于做波场模拟的同学有很好的参考价值。( MATLABScript for obtaning the analytical solution for 2D wave propagation in a viscoelastic medium, based on the Appendix B of paper of Carcione et al. (1988)(1), corrected in (2). The source used is a Ricker wavelet in the y velocity component. A figure of the source temporal function and its inverse Fourier transform are provided to verify the good working of the method. Also works for elastic variables by substituting the values of vp and vs by real constant ones (vp_0 & vs_0). Attenuation is implemented by GMB-EK rheology presented in (4) and thoroughfully explained in (3). In order to make a proper comparison with numerical data it is recommended to either use the same rheology in both the numerical and the analytical. It is also possible to get an almost constant Q value by increasing a lot the number of mechanisms used in both the numerical and the analytical solutions, thus minimizing the effects of the Q fitting in the comparison.)

阵列处理作业，MVDR或者其他高分辨方法，由于信号源无法确定，造成估计误差，采用对角加载的 增加单位阵法 ,以及 六源准则法 获取优化结果。(Array processing, MVDR, or other high-resolution method, the source can not be determined, resulting in the estimated error, the use of diagonal loading ' to increase the unit matrix method' , and ' six-source criteria method' to obtain optimal results.)

说明：  进行PQ分解，计算电力系统潮流的有效方法，应用广泛(PQ decomposition is an effective method for calculating power flow in power system.)

程序计算在声速梯度下水中声线的传播并计算声线的长度(Program calculates the velocity gradient in the water line of acoustic sound propagation and calculate the length of the line)

用C++编写的一维和二维快速傅里叶变换程序(Prepared with C++ one-dimensional and two-dimensional fast Fourier transform procedure)

用有限差分方法求解波动方程，画出波场快照，模拟波在地下传播！(The wave equation by finite difference method, draw the wave field snapshot, simulate wave propagation in the underground!)

多元数据分析的主分量分析投影，LZ复杂度反映的是一个时间序列中，用MATLAB编写的遗传算法路径规划。( Principal component analysis of multivariate data analysis projection, LZ complexity is reflected in a time sequence, Genetic algorithms using MATLAB path planning.)

截取地震数据，按道和采样点截取，自动显示截取后的道数和采样点数(failed to translate)

自适应网格生成的文章，广泛的应用到有限元和无网格方法中(a nice paper of adaptive mesh generation)