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说明：  fluent中作液体蒸发相变的udf，非常专业，证明可行(fluent in the evaporation of liquid phase transition for udf, very professional, proved to be feasible)

牛顿法测试程序，包含线搜索和不含线搜索时算法比较。(newton algorithm with linear and without linear search.)

基于信任域算法求解rosenberg函数的极小值问题(Trust region algorithm for solving the rosenberg function minimum value)

roe格式对多种不同初始条件黎曼问题的计算。(the document solve the riemann problem with roe method.)

数值方法的5个重要的算法： 1.[Dirich.m] 求解拉普拉斯方程的狄利克雷方法. 用于偏微分方程的数值解 2.[Hamming.m] 汉明方法是用来修正微分方程的多步预测。 3. [Milne.m] 米尔恩 - 辛普森差分方程求解方法，用于预测校正方法。 4. [Rkf45.m]龙格 - 库塔 - 沃尔伯格错误控制和步骤的方法求解微分方程的近似解 5.[Romber.m]著名的龙贝格积分源代码。计算结果存在并显示为下三角矩阵。(Numerical Methods in five of the more important algorithms: 1. [Dirich.m] to solve the Laplace equation Dirichlet method for the numerical solution of partial differential equations 2.[Hamming.m] Hamming method is the multistep forecast corrected differential equations. 3. [Milne.m] the Milne- Simpson method as a differential equation solver used forecast correction method. 4. [Rkf45.m] Runge- Kutta- Wahlberg error control and step method for solving differential equations approximate solution 5. [Romber.m] the famous Romberg integral source code numerical integration, the presence of computable results show a lower triangular matrix.)

说明：  该文件是用C语言实现快速傅里叶变换的源代码，需要的朋友快下载(The document is used C language to achieve fast Fourier transform of the source code, need friends fast download)

abaqus在岩土工程中应用，第六章其中的一段源代码，(apply for geotectnical)

甲烷的19步简化反应机理文件，FORTRAN语言编写反应速度(ch4 reaction rate)

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.)

用LU和LDU分解求解方程组，给出了详细说明(The equations are solved by the decomposition of LU and LDU, and the detailed description is given.)