數值分析

臺北科技大學 115-1 學期課程，課號 365990。

課程大綱

This is the first course in numerical analysis for graduate students. The objectives of the course include: (1) Development and applications of numerical methods when analytical techniques are not available; (2) Numerical differentiation and integration; (3) Numerical solution of ODEs and PDEs; (4) To get familiar with different types of commercial software.

課程進度

Week 1 Introduction, some useful software and python, Interpolation (Homework 1) Week 2 Numerical differentiation (Homework 2) Week 3 Numerical integration (Homework 3) Week 4 Numerical solution of ODEs Week 5 Numerical solution of ODEs (Homework 4) Week 6 Numerical solution of PDEs Week 7 Numerical solution of PDEs (Homework 5) Week 8 (Midterm break) Week 9 DFT and FFT Week 10 Finite element method Week 11 Finite element method: COMSOL Week 12 (Conference break) Week 13 Finite difference method: FLAC Week 14 Discrete element method: 3DEC Week 15 Discrete element method: PFC Week 16 Presentation and discussion Week 17-18 Report adjustment and submission

評量方式

Homework (60%), Project Presentation & Report (40%), Attendance (+10%)

教材

【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 Parviz Moin (2010), Fundamentals of engineering numerical analysis, second edition. Cambridge University press.