nonlinear-optium

牛顿迭代求根法和牛顿-steffensen加速法(Newton method for root-solving problems. Newton-Steffenson is also included.)

实现重力式热管换热器设计计算功能，简单按照设计任务书，给出所需热管的结构尺寸，涉及的热管蒸发段和冷凝段长度分别为1m，绝热段长度30cm，内径20cm，外径25cm，热管工质为水。(C language for thermosyphon s design.Realize the gravity heat pipe heat exchanger design and calculation functions , simple design in accordance with the mission statement , given the size of the required structure of the heat pipe , heat pipe evaporator and condenser section lengths were involved 1m, adiabatic length 30cm, inner diameter 20cm, 25cm outside diameter heat pipe working fluid is water.)

二维热传导扩散方程的高斯-赛德尔迭代方法。(A two-dimensional thermal diffusion problem using Gauss-Seidel iteration method.)

calculate maximum volume of cuboid given conditions.. a+b+c<s ab+bc+ca<d where s and d are constants..

根据张北气象数据，算得当地大型光伏发电系统的输出功率已经镜面温度(According to Zhangbei meteorological data, the mirror temperature of output power of local large-scale photovoltaic power generation system is calculated.)

计算方法：主要是高斯消去法的C语言算法实现(Calculation method: Gaussian elimination)

1. 牛顿迭代法 function [x,i]=newtonmethod(x0,f,ep,Nmax) 牛顿法求非线性方程根 x0是输入初始值, f是输入函数, 精度要求ep, Nmax为最大迭代次数 x是输出迭代序列,i是迭代次数 2. 二分法 function [x,k]=bisection(a,b,f,ep) 二分法解非线性方程 输入区间[a,b],函数f和误差ep, Nmax为最大二分次数 x为输出近似根, k为二分次数 ( Newton s law and the dichotomy)

世界上最好的微积分教材，搞程序的，研究的，数学的都应该了解，这个是James.Stewart的Calculus第七版，英文原版，彩色的，值得珍藏。(The world' s best calculus textbook, engage in programs, research, mathematics should understand that this is James.Stewart seventh edition of Calculus, English original, colorful and worth treasuring.)

经验正交函数分析FORTRAN程序，用于变量场的时空结构分离（配套书籍《现代气候统计诊断与预测技术》）。(empirical orthogonal function, FORTRAN procedure, used to separate the spatio-temporal structure of climate variables.)

分别对beta估计值模拟分析、非中心对称分布、卡方拟合优度检验、筛选抽样随机数抽取、有限样本性质模拟这5个内容进行了编程说明(The five contents of beta estimation simulation analysis, non-centrosymmetric distribution, chi-square goodness-of-fit test, random number extraction of screening sampling and Simulation of finite sample properties are explained by programming.)