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常微分方程求解的搜索延拓法，克服了Newton-Raphson法对初值问题影响过大的问题(Solving Ordinary Differential Equations search continuation method to overcome the Newton-Raphson method for initial value problem of the impact of the problem is too large)

该程序为全向比幅法测角程序，并给出了测角误差分析(The program is omnidirectional amplitude ratio angle measuring program, and the angle error analysis is given)

基于C环境下的最小二乘法的计算编程算法相当相当实用。(C based on the circumstances of the least squares algorithm for calculating the programming very well.)

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(Conjugate gradient method (Conjugate Gradient) is between the steepest descent method and Newton' s method between a method that takes only a first derivative information, but to overcome the slow convergence of the steepest descent method shortcomings, but also avoid the need to store Newton and computing the inverse Hesse matrix and disadvantages, conjugate gradient method is not only to solve large linear equations of the most useful methods, large-scale nonlinear optimization solution is the most efficient algorithms)

粒子群算法，也称粒子群优化算法或鸟群觅食算法（Particle Swarm Optimization），缩写为 PSO。它具有精度高，收敛快等优点，广泛用于系统辨识、函数优化等领域。文件pso.m是粒子群算法辨识程序，在此基础上，需要自行编写目标函数计算程序以实现不同系统的参数辨识。(Particle swarm optimization (PSO), also known as particle swarm optimization algorithm or bird swarm foraging algorithm (Particle Swarm Optimization), abbreviated as PSO. It has the advantages of high precision and fast convergence. It is widely used in system identification, function optimization and other fields. The document pso.m is a particle swarm algorithm identification program. On this basis, it is necessary to write an object function calculation program to realize the parameter identification of different systems.)

随机生成裂缝网格，由于地下水文学模拟，及裂缝网格连通性计算。(Randomly generated grid of cracks, due to subsurface hydrology simulation and calculation of cracks grid connectivity.)

说明：  非线性振动.pdf 刘延柱编写 恢复力与位移不成正比或阻尼力不与速度一次方成正比的系统的振动。尽管线性振动理论早已相当完善,在工程上也已取得广泛和卓有成效的应用，但在实际问题中，总有一些用线性理论无法解释的现象。一般说，线性模型只适用于小运动范围，起出这一范围，按线性问题处理就不仅在量上会引起较大误差，而且有时还会出现质上的差异，这就促使人们研究非线性振动。(Nonlinear Vibration. Compilation of PDF Liu Yanzhu)

频域二维卷积算法，通过在频域用fft计算，加速了卷积的实现过程(Frequency domain of two-dimensional convolution algorithm, by calculating the frequency domain using fft and accelerate the realization of the convolution process)

计算器编程代码，便于需要编程计算器的学员查询相关代码(Calculator programming code, to facilitate students in need of programming calculator related code)

ADAM （Adaptive Moment Estimation）是另外一种自适应学习率算法，它结合动量梯度 下降法，在不同参数方向上采用不同学习率，保留前几次迭代的梯度，能够很好 的适应于稀疏数据。(ADAM (Adaptive Moment Estimation) is another adaptive learning rate algorithm, which combines momentum gradient. The descent method, which uses different learning rates in different parameter directions and retains the gradients of previous iterations, is very good. It is suitable for sparse data.)