Mathematica实现数值分析

利用有限元理论，求一二维梁的固有频率和振型。短边固定，给定长度、横截面积，弹性模量及材料密度已知。并对比理论计算结果进行分析。各参数自己设定。(Using finite element theory, seeking a two-dimensional beam natural frequencies and modes. The short side is fixed, given the length, cross-sectional area, modulus of elasticity and density of the material is known. And compare the theoretical calculation results were analyzed. Each parameter set.)

svg电力控制系统的仿真论文，很详细。包括系统的软件硬件，大部分为原创！包括matlab-fuzzy pi算法的实现(svg power control system simulation study, very detailed. Including system software and hardware, most original!)

通过FORTRAN编写damage子程序，在板材成形中实现破裂的可视化及成形极限预测(FORTRAN subroutine written by damage to achieve rupture of visualization in sheet metal forming and forming limit prediction)

共轭梯度法（Conjugate Gradient）是介于最速下降法与牛顿法之间的一个方法，它仅需利用一阶导数信息，但克服了最速下降法收敛慢的缺点，又避免了牛顿法需要存储和计算Hesse矩阵并求逆的缺点，共轭梯度法不仅是解决大型线性方程组最有用的方法之一，也是解大型非线性最优化最有效的算法之一。 在各种优化算法中，共轭梯度法是非常重要的一种。其优点是所需存储量小，具有步收敛性，稳定性高，而且不需要任何外来参数。(Conjugate gradient method (Conjugate Gradient) is between the steepest descent method between the method and Newton' s method, it takes only a first derivative information, but to overcome the steepest descent method convergence slow shortcomings, but also to avoid the Newton method needs to be stored Hesse and disadvantages of computing inverse matrix and the conjugate gradient method is not only one of the most useful methods to solve large linear equations, solution of large-scale nonlinear optimization is one of the most effective algorithm. In various optimization algorithm, conjugate gradient method is a very important one. The advantage is that a small amount of memory required, with step convergence, high stability, and does not require any external parameters.)

山农的通信的数学方法。是信息论的奠基性文章。(Shannong mathematical methods of communication. Is the foundation of information theory article.)

说明：   这是几个常用的测试函数，通过这个测试函数可以比较算法性能的优劣。(This is a test of several commonly used functions, through this test function can compare the algorithm performance is good or bad.)

波束域 MUSIC 算法跟经典MUSIC 算法相比，具有更小的分辨信噪比门限(Beamspace MUSIC algorithm compared to the classic MUSIC algorithm, with smaller resolution and signal to noise ratio limit)

frft程序函数，分数阶傅立叶变换，短时傅立叶变换，傅立叶变换(the frft program function, fractional Fourier transform, short-time Fourier transform, Fourier transform)

任意数学表达式计算的源码及测试软件 (Calculation of arbitrary mathematical expression of the source code and test software)

利用MATLAB实现了16位快速傅立叶变换，并与自包含函数进行了比较。(The 16-bit Fast Fourier Transform is realized by using MATLAB and compared with the self-contained function.)