非线性方程的求根

一维 问题，即激波管问题，是一个典型的一维可压缩无黏气体动力学问题，并有 解析解。对它采用二阶精度 两步差分格式进行数值求解。(Use MacCormack difference scheme for solving a two-dimensional shock tube problem)

说明：  海浪模拟，基于PM谱，根据海浪频率波高等因素(Wave simulation, based on PM spectrum, according to wave frequency wave higher factor)

利用for语言精确模拟混凝土的全过程弹性本构(Accurate simulation of the whole process of elastic constitutive of concrete by for language)

速度曲线规划，在给定长度path 曲线上，根据各waypoint的速度约束，规划出平滑的速度曲线(speed curve planning.In a given length path curve, according to the speed of the waypoint constraints, planning a smooth speed curve.)

fortran最优化计算方法常用程序汇编 包括一维最优化部分、无约束优化部分、约束优化部分 0.618法，分数法、二次插值法、三次插值法 共轭梯度法、DFP变尺法（导数）、DFP变尺法（差分）、阻尼最小二乘法、鲍威尔法、模式搜索法、单纯形法 混合罚函数法（SUMT调用DFP）、混合罚函数法（SUMT调用鲍威尔法）、综合约束函数双下降法、可变容差法、复合形法、网格法、随机试验法、解线性规划的单纯形法(fortran optimization calculation method used to assemble Including one-dimensional optimization section, part of unconstrained optimization, constrained optimization part 0.618, fractional method, quadratic interpolation, cubic interpolation Conjugate gradient method, DFP becomes ruler Act (derivative), DFP variable scale method (differential), damped least squares method, Powell method, pattern search method, the simplex method Mixed penalty function method (SUMT call DFP), mixed penalty function method (SUMT call Powell Law), integrated dual descent constraint functions, variable tolerance method, the complex method, grid method, random test, solving linear programming simplex Method)

气液平衡数据进行NRTL参数最小二乘法拟合(VLE NRTL fitting)

频率响应函数计算程序,通过输入结构的响应数据，识别结构的模态参数，matlab(frequency response function，)

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)

本算法是基于数值计算中的SQP编写的MATLAB程序。非常实用的一个小程序。(This algorithm is based on the numerical calculation of SQP written MATLAB program. Very practical one small program.)

说明：  西交大多相流程序。本程序由西安交通大学能源与动力工程学院 CFD-NHT-EHT 研究中心孙东亮博士开发。本程序的任何部分不得发表。本程序未经作者同意不得用于商业用途。您可以使用该程序或进一步发展该程序。发表任何在该程序基础上开展的工作请引用相关文献（文献在程序包内一并给出）(Most of the phase flow procedures in the West Cross. This procedure was developed by Dr. Sun Dongliang, cfd-nht-eht Research Center, School of energy and power engineering, Xi'an Jiaotong University. No part of this procedure may be published. This procedure shall not be used for commercial purposes without the consent of the author. You can use the program or further develop it. Publish any work carried out on the basis of the program, please refer to relevant literature (literature is given in the package))