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计算波导中四波混频效率，考虑线性损耗、自由载流子吸收损耗、双光子吸收损耗(FWM efficiency in silicon waveguide)

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)

用C++写的矩阵鞍点求法(C wrote saddle point Matrix Method)

采用Fortran编写的二维非线性有限元计算程序，内有程序变量说明，可用于计算弯曲梁的大变形(Fortran prepared using a two-dimensional nonlinear finite element program variables within a program description can be used to calculate the bending beam of the large deformation)

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.)

此代码属于地球物理领域，是用有限差分开发的直流电法三维正演，基于FORTRAN平台，此代码具有很高的运算效率，对于从事地球物理领域的人来说是不可多得的(This code belongs to the field of geophysics, is developed using finite difference method of three-dimensional forward modeling of DC, FORTRAN-based platform, this code has high computing efficiency, people engaged in geophysical field is rare)

Dr. Liu 在《光滑粒子流体动力学--一种无网格方法》一书中提供的光滑粒子流体动力学（SPH）源程序，采用Fortran语言编写，用于计算可压缩流体力学问题。(Dr. Liu in the " Smooth Particle Hydrodynamics- a meshless method," a book provided by the smooth particle hydrodynamics (SPH) source code, using Fortran language, used to calculate the fluid flow problem.)

解释有限元程序SAP5的原理，结构，算例的一本书籍(The finite element program SAP5 explain the principles, structure, examples)

说明：  计算混沌系统的lyapunov指数和poincare截面(Calculation of chaotic systems lyapunov index and cross-section poincare)

课程设计：编写连续函数最佳平方逼近的算法程序（以函数形式）。并用此程序进行数值实验，并提交相应的实验结果数据与报告。 内附详细的课程设计报告与源代码()