COMSOLMultiphysics(1)

对于给定某一线性时不变网络（不含受控源），根据网络属性及结构，通过编程实现自动生成其关联矩阵A和一个树。(Given a linear time-invariant network (excluding controlled source), according to the network properties and structure of the automatically generated by programming its associated matrix A and a tree.)

说明：  用于非线性常微分方程的解的重要的一类隐式或显式迭代法，使用龙格库塔计算激光器的速率方程。(An important class of implicit or explicit iterative methods for solving nonlinear ordinary differential equations is to use Runge Kutta to calculate the rate equations of lasers.)

计算声发射时域信号特征值：裕值，振幅因子FK、fc，峭度，(Calculation of acoustic emission time-domain signal characteristic values: margin value, the amplitude factor FK, fc, kurtosis,)

惩罚函数法C语言相关程序 它将有约束最优化问题转化为求解无约束最优化问题：其中M为足够大的正数， 起"惩罚"作用， 称之为罚因子，F(x, M )称为罚函数。(Penalty Function Method C language-related program it would have constrained optimization problem is transformed into solving unconstrained optimization problem: where M is a sufficiently large positive number, from the " punishment" effect, called the penalty factor, F (x, M) called the penalty function.)

umat abaqus plasticity

一阶偏微分方程的基础知识，很容易入门,很多工程处理要用到的(Introduce the basic knoeledge of Partial Differential Equation)

利用BLT方程求解平面波对双线结构传输线的终端响应。(BLT equation for solving the plane wave transmission line on two-lane structure of the terminal response.)

用三元组表为结构，实现稀疏矩阵的加法并输出。(Achieve sparse matrix addition)

非线性微分方程的人工免疫网络数学模型，适合于高水平研究者(Nonlinear differential equation mathematical model of artificial immune network, suitable for high-level researchers)

程序计算在声速梯度下水中声线的传播并计算声线的长度(Program calculates the velocity gradient in the water line of acoustic sound propagation and calculate the length of the line)