ANSYS-UMAT

关于常用的FORTRAN算法，该书有关于线性方程组的求解，矩阵特征值的计算，常微分方程组的求解等(FORTRAN on the commonly used algorithms, the book on the linear equations, eigenvalue calculation, solving ordinary differential equations, etc.)

平面波与涡旋光束干涉的干涉图样，可以用来制作全息图，从而产生涡旋光束(Interference pattern of plane wave and vortex beam interference, can be used to produce hologram, resulting in vortex beam)

这是考虑了高程的面积计算公式，VB编的程序，运行即可(This is the old area of the elevation calculation formula, the program can be run VB series)

用于计算Davar，较为方便，用于allan方差的初步学习(Used to calculate Davar, more convenient for the Allan variance of the preliminary study)

用matlab编写的cholesky分解程序，希望对大家有些帮助(Matlab prepared using Cholesky decomposition procedures, in the hope that some U.S. help)

最速下降法就是梯度下降法,可以用于求解最小二乘问题(线性和非线性都可以)。可以说是求解机器算法的最古老、最经典的模型，另一种常用的方法是最小二乘法。(The steepest descent method is the gradient descent method, which can be used to solve the least squares problem (both linear and non-linear). It can be said that it is the oldest and most classical model for solving machine algorithm. Another commonly used method is the least square method.)

对数据进行统计分析，并打开图形数据统计分析对话框，该对话框可以获得数据的最小值、最大值、平均值、中值以及均方差等。 (Statistical analysis of data and graphical data statistical analysis of open dialog, the dialog box can be data minimum, maximum, average, median and standard deviation and so on.)

PETSc (Portable, Extensible Toolkit for Scientific Computation) 是美国能源部ODE2000 支持开发的20 多个ACTS 工具箱之一，由Argonne 国家实验室开发的可移植可扩展科学计算工具箱，主要用于在分布式存储环境高效求解偏微分方程组及相关问题。(PETSc (Portable, Extensible Toolkit for Scientific Computation) is ODE2000 U.S. Department of Energy to support the development of one of more than 20 ACTS Toolkit, developed by the Argonne National Laboratory' s Portable, Extensible Toolkit scientific computing, mainly used in the distributed memory efficient environment for solving partial differential equations and related issues.)

简述算法在实际当中的应用以及算法的改进和延伸(Improvement and extension of applications and algorithms of the outlined algorithm in practice)

晶格波尔兹曼方法，D2Q9的Matlab程序.(Lattice Boltzmann method, D2Q9 procedures)