Ma-Calculatrice

求解二阶变系数常微分方程,主要用于涡激振动中频率响应的计算(Solving second-order ordinary differential equations with variable coefficients)

Chemkin III source file (Chemkin III source )

在轨迹给定长度范围内，各个waypoint给定确定的速度范围约束，规划处平滑的速度变化曲线(Within the given length range of the trajectory, each waypoint is given a determined velocity range constraint and a smooth velocity variation curve at the planning point)

说明：  LDL分解。作为矩阵方程数值解法最基础的矩阵分解算法，LDL算法可以高效分解对称矩阵。(LDL decomposition. Numerical Solution of matrix equation as the most basic matrix factorization algorithm, LDL decomposition algorithm can be efficient symmetric matrix.)

说明：  可以计算两个小于500位整数的乘法，多项式求m次阶的系数和,大数阶乘。(Can compute the two less than 500-bit integer multiplication,M second-order polynomial coefficients of demand and, factorial of large numbers .)

％ 奇异值分解 (sigular value decomposition,SVD) 是另一种正交矩阵分解法；SVD是最可靠的分解法， ％ 但是它比QR 分解法要花上近十倍的计算时间。[U,S,V]=svd(A)，其中U和V代表二个相互正交矩阵， ％ 而S代表一对角矩阵。 和QR分解法相同者， 原矩阵A不必为正方矩阵。 ％ 使用SVD分解法的用途是解最小平方误差法和数据压缩。用svd分解法解线性方程组，在Quke2中就用这个来计算图形信息，性能相当的好。在计算线性方程组时，一些不能分解的矩阵或者严重病态矩阵的线性方程都能很好的得到解( Singular value decomposition (sigular value decomposition, SVD) is another orthogonal matrix decomposition method SVD decomposition is the most reliable method, but it takes more than QR decomposition near ten times the computing time. [U, S, V] = svd (A), in which U and V on behalf of two mutually orthogonal matrix, and the S on behalf of a diagonal matrix. And QR decomposition are the same, the original matrix A is no need for the square matrix. The use of SVD decomposition method are used as a solution of least squares error method and data compression. Using SVD decomposition solution of linear equations, in Quke2 on to use this information to calculate the graphics performance quite good. In the calculation of linear equations, some indecomposable matrix or serious pathological matrix of linear equations can be a very good solution)

二维泊松方程的定解问题：用5点菱形异步迭代格式求解泊松方程，h=5/4 ,误差s=1e-6 (Differential method for Poisson equation)

用牛顿迭代法估计正弦信号的幅度，相位，频率，选用多次montecalor算法估计参数均值，并与理论上参数估计的CRLB下限进行比较。(Newton iterative method estimates the sinusoidal signal amplitude, phase, frequency, use multiple montecalor algorithm to estimate the parameters mean, and with the theoretical limit of parameter estimation CRLB compare.)

xfdtd中用于计算光子晶体PBG的算例(example used for PBG calculation in xfdtd)

这是一个有关解二维弹性板的无网格EFG程序matlab源代码,是学习无网格法入门的必学程序!(This is a solution of two-dimensional elastic plate meshless EFG process matlab source code, is a meshless method to study entry procedures must!)