AR

说明：  本書介紹現代的數值近似方法，解釋這些方法如何、為何，以及何時有用，以作為進一步研讀數值分析與科學計算的基礎。修習本書，學生將學會辨別須使用數值方法求解之問題的種類，及使用這些方法時，誤差傳遞的實例；對無法求得確解的問題，應能求得精確的近似解，並學會估計此近似解誤差界限的方法。書中介紹的數值方法，由數學分析、計算法則到實例，皆有系統的說明。本書對於任何要使用數值方法的學系，均可作為良好的基礎教材，同時也是一本內容完備的參考書籍。(This book introduces modern numerical approximations, explaining how, why, and when they are useful as a basis for further study of readings and scientific calculations. In this book, students will learn to identify the types of problems that must be solved using numerical methods, and examples of error propagation when using these methods; for problems that cannot be solved, an accurate approximate solution should be obtained and learn to estimate this. The numerical methods introduced in the method of approximating the error bounds are systematically explained by mathematical analysis, calculation rules and examples. This book can be used as a good basic textbook for any department that wants to use numerical methods. It is also a complete reference book.)

说明：  Matrix multiplication explained in detail for C++

数值分析课程必备的算法：列主元高斯消去法算法。有需要的同学下载(Numerical analysis courses required algorithms: PCA out Gaussian elimination algorithm. Those students in need to download)

在图论中的floyed算法程序，可以算两点之间的最小距离(The floyed algorithm in graph theory)

说明：  用于求解耦合速率方程的四阶龙格－库塔数值解法(4th order Runge-kutta methods for solving the coupled rate equations)

同伦算法解非线性方程组，构造不动点问题,并从不同的初始点出发运行程序。(To solve nonlinear equations with homotopy algorithm，constructing a fixed foint progrem.and from the different starting point to run the program. )

fluent多相流DPM模型中使用用户自定义函数对颗粒进行统计(DPM fluent multiphase flow model using user-defined functions for particle statistics)

一维的N_S方程的求解程序，是计算流体力学的算例(the N_S equation of one dimension .)

MATLAB，多目标优化，使用SQP算法(MATLAB, multi-objective optimization using SQP Algorithm)

凸轮的程序，很好，可以随更改，可以随便变化凸轮的结构。(Cam program, well, you can with the changes, you can easily change the structure of the cam.)