renyi-entropy

说明：  用于三维条件下的推板造波法udf,冲程与周期可修改，附带消波udf和cas文件(generating waves with pushboard under 3D condition)

可以用于科学计算的库，数值计算库，只要将头文件包含即可。(Can be used for scientific computing libraries, numerical libraries, header files will be included as long as you can.)

分数阶chen系统仿真 在matlab中运行，可实现分数阶chen系统的混沌模型( simulation of fractional order chen system ， simulation of fractional order chen system )

根据给定的等距结点上的函数值与一阶导数值, 用埃尔米特等距插值公式计算指定插值点处的函数值。(According to the given equidistant nodes function value with a first derivative values, with equidistant interpolation Hermite interpolation formula specified function value at the point.)

姿态更新算法之一：方向余弦法,直接求解姿态矩阵微分方程(Attitude updating algorithm: direction cosine method, the direct matrix differential equation solving attitude)

包括脚本文件和函数文件形式，用蒙特卡洛模拟的方法计算美式期权的价格以及基本描述,采用的是脉冲对消法。( Including script files and function files in the form, Monte Carlo simulation method of calculating the American option price and basic description, It uses a pulse of consumer law.)

说明：  经验正交函数分析FORTRAN程序，用于变量场的时空结构分离（配套书籍《现代气候统计诊断与预测技术》）。(empirical orthogonal function, FORTRAN procedure, used to separate the spatio-temporal structure of climate variables.)

下面我们将给出一些基于Galerkin有限元法的微型泵模拟结果，模拟过程在商业软件COMSOL Multiphysics 3.2中实现。数值求解采用压力修正算法——SIMPLE，它首先假设一个压力场，然后通过求解不可压缩流动的Navier-Stokes方程得到速度场。这些速度不需要满足Possion型连续方程，所以对压力场的修正也带来速度场的修正，最终满足质量守恒。求解速度场的同时计算电势场方程。这会得到Lorentz力，然后将其反馈回N-S方程并作为体积力处理。连续耦合Lorentz力和速度场直到Newton迭代收敛。 (Below we will give some micro-pump simulation results based on the Galerkin finite element method, the simulation process in the commercial software COMSOL Multiphysics 3.2. The numerical solution of pressure correction algorithm- the SIMPLE, it begins by assuming a pressure field, and then by solving the incompressible Navier-Stokes equations, the velocity field. These velocities do not need to satisfy the continuity equation of Possion type pressure field correction to bring the amendment of the velocity field, and ultimately to meet the conservation of mass. Solving the velocity field at the same time to calculate the potential field equations. This will be the Lorentz force, and then fed back to the NS equations and processing as a volume force. Continuous coupling of the Lorentz force and the velocity field until the Newton iteration convergence.)

说明：  VUMAT for Kinematic Hardening Plasticity

经典非线性动力学模型，布鲁塞尔子模型，可直接运行，运算效率高。(nonlinear dynamics Brusselator model)