數值分析
Numerical Analysis
| 節 | 週二 | 週五 |
|---|---|---|
2 09:00–09:50 | 數值分析 EDB07 | |
5 13:20–14:10 | 數值分析 EDB07 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
This course offers an introduction to problem-solving techniques, mathematical analysis, and programming algorithms with a primary emphasis on the Julia programming language. While acknowledging the significance of numerical analysis in contemporary applied mathematics and its role as the bedrock of computer simulation and diverse application domains, this course prioritizes the acquisition of skills and knowledge specific to Julia programming. Students will gain a comprehensive understanding of programming with Julia and its practical applications, enabling them to excel in utilizing this powerful language for problem-solving tasks.
Basic programming skills, Calculus, Linear Algebra, Differential Equations
Grading policy will be explained in the first lecture and posted as a video on YouTube
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction to Julia and Numerical methods |
| 第 2 週 | Approximations & errors, Roots of equation- closed methods |
| 第 3 週 | Solving Linear equations: Gauss Elimination |
| 第 4 週 | Solving Linear equations: Pivoting, Scaling, LU Decomposition |
| 第 5 週 | Solving linear equation: interactive methods, norm, applications |
| 第 6 週 | Solving nonlinear equation: Newton Raphson method |
| 第 7 週 | Solving nonlinear equation: applications |
| 第 8 週 | Solving ordinary differential equations (ODE): Euler & Runge-Kutta methods, initial value problem |
| 第 9 週 | Solving ordinary differential equations (ODE): stiffness, boundary value problem and application |
| 第 10 週 | Solving ordinary differential equations (ODE): stiffness, boundary value problem and application |
| 第 11 週 | Curve Fitting: least-squares regression |
| 第 12 週 | Curve Fitting: interpolation Fourier approximation and application |
| 第 13 週 | Curve Fitting: applications |
| 第 14 週 | Solving partial differential equations (PDE): elliptic equation |
| 第 15 週 | Solving partial differential equations (PDE): parabolic equation and FEM |
| 第 16 週 | Numerical integration |
First Semester in Numerical Analysis with Julia, Giray Ökten, Florida State University Numerical Analysis, R. L. Burden and J. D. Faires, Brooks/Cole
- 地點
- ED716A
- 時間
- Anytime
- 聯絡方式
- stefano@nycu.edu.tw