sod-problem-by-MacCormack

说明：  基2基4基8以及分裂基的fft算法，代码效率很高。是难得一见的好代码。应用范围很广。(Radix-2-4-based 8 and split fft-based algorithm, a high code efficiency. Is a rare good code. Application of a very wide scope.)

PCA算法程序设计步骤： 1、去均值 2、计算协方差矩阵及其特征值和特征向量 3、计算协方差矩阵的特征值大于阈值的个数 4、降序排列特征值 5、去掉较小的特征值 6、去掉较大的特征值(一般没有这一步） 7、合并选择的特征值 8、选择相应的特征值和特征向量 9、计算白化矩阵 10、提取主分量 (PCA algorithm programming steps: 1 to mean 2, calculation of covariance matrix and its eigenvalues and eigenvectors 3, the calculation of covariance matrix eigenvalues greater than the threshold number of 4, in descending order of eigenvalue 5, remove the smaller eigenvalue 6, remove the larger eigenvalue (usually not this step) 7, the combined choice of eigenvalues 8, select the appropriate eigenvalues and eigenvectors 9, computing whitening matrix 10, principal component extraction)

精确黎曼求解器； 精确黎曼求解器：hll、hllc方法；(Accurate Riemann solver; Accurate Riemann Solver: HLL, HLLC method;)

说明：  cuda矩阵乘法 通过GPU并行运算实现乘法的加速(cuda GPU parallel matrix multiplication operation by the accelerated realization of multiplication)

近似熵和互近似熵的matlab代码，用于脑波分析很有用(Approximate entropy and cross approximate entropy matlab code for brain wave analysis useful)

数值分析中三次样条插值算法，运行稳定，并能画出最后的插值曲线(Numerical Analysis of cubic spline interpolation algorithm, running stability, and can draw the final curve interpolation)

粘弹性介质中面波正演模拟，基于变网格函数伪谱法模拟，模拟精度高(The viscoelastic medium surface waves forward modeling, based on a function of the variable-grid pseudospectral method simulation, simulation accuracy)

潮流计算中拉丁超立方采样的算法，可利用其进行概率潮流计算(Flow calculation Latin hypercube sampling algorithm, can use its probabilistic load flow calculation)

世界上最好的微积分教材，搞程序的，研究的，数学的都应该了解，这个是James.Stewart的Calculus第七版，英文原版，彩色的，值得珍藏。(The world' s best calculus textbook, engage in programs, research, mathematics should understand that this is James.Stewart seventh edition of Calculus, English original, colorful and worth treasuring.)

拟牛顿迭代法是相对比较新的一种方法，克服了牛顿迭代需要求导数和求逆的缺点，用于求解非线性方程组(For solving nonlinear equations)