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高斯-塞德尔迭代、拉格朗日差值、牛顿法、四阶龙格库塔 与数值分析有关的公式(Gauss- Seidel iteration)

stiff differential equations examples

：针对三容水箱是较为典型的非线性、时延对象，具有很强的代表性这一特点， 通过机理建模方法建立了三容水箱的一般数学模型。分析了线性和非线性阻力板的流量特性， 并通过实验测定了阻力板流量系数。最后给出了三容水箱的线性化模型。由仿真实验可知，非线性模型的阶跃响应和实验测得的响应曲线相吻合，(: For three-tank water tank is a more typical non-linear, time-delay object, has a strong representation of this characteristic, through the mechanism of modeling methods allow the establishment of three general mathematical model of water tanks. Analysis of linear and nonlinear flow resistance characteristics of plate, and through experimental determination of the resistance plate flow coefficient. Finally, the three-linear model of water tanks. By simulation experiments, we can see that the nonlinear model of step response and the experimentally measured response curve coincide)

在fortran环境下编写ductile_fracture子程序，可以通过MARC来调用，实现板材成形中破裂过程的可视化(Written in fortran environment ductile_fracture subroutines can be invoked by MARC, realized in sheet metal forming rupture process visualization)

算法设计与分析之汉诺塔问题介绍与讲解 希望大家有时间看看 (Tower of Hanoi problem description and explanation of the design and analysis of algorithms hope that we have time to look at)

33节点基于前推回代法的含分布式电源配电网的潮流计算程序，其中含支路阻抗的原始数据。(33 nodes with distributed power distribution network procedures, the former push back method, with branch impedance of the original data.)

MATLAB的希尔伯特谱分析，导入数据实现算出。最下二乘拟合算法。快速傅里叶变换详细算法。(MATLAB Hilbert spectrum analysis, import data to achieve calculation.The two by fitting algorithm. With the fast Fourier transform algorithm.)

说明：  二级转运站选址数学规划模型求解的lingo 程序(Lingo Program for Solving Mathematical Programming Model of Secondary Transfer Station Location)

一维黎曼问题，计算流体力学，C和Frotran预言代码(Riemann problem)

说明：  拓扑优化MMA算法从空间的一个初始设计点出发，沿着某个搜索方向以适当步长的迭代格式 ，实现对设计变量的修改，以获得的值。(Starting from an initial design point in space, the topology optimization MMA algorithm modifies the design variables in an appropriate iterative format along a certain search direction to obtain the optimal value)