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課程名稱 |
數值偏微分方程式一
Numerical Partial Differential Equations (Ⅰ) |
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開課學期 |
106-2 |
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授課對象 |
理學院 應用數學科學研究所 |
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授課教師 |
陳宜良 |
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課號 |
MATH7409 |
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課程識別碼 |
221 U1310 |
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班次 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期二2,9,10(9:10~18:20) |
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上課地點 |
天數304 |
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備註 |
總人數上限：40人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1062MATH7409_NumPDE |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
Many real world problems are modeled by partial differential equations (PDEs) and Numerical PDEs is the basic tool to solve practically. This course aims at this basic methods and corresponding stability and convergence analysis.
Chapter 1: Finite Difference Methods for ODEs.
Chapter 2: Finite Difference Methods for Linear Difference Parabolic Equations
Chapter 3: Finite Difference/Element methods for Linear Elliptic Equations
Chapter 4: Finite Difference Methods for Linear Hyperbolic Equations |
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課程目標 |
The goal of this course is to provide basic theory and computational skills. |
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課程要求 |
Introduction to Ordinary Differential Equations, Introduction to Partial Differential Equations, Introduction to Computational Mathematics.
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
I-Liang Chern: Lecture on Finite Difference Methods. |
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參考書目 |
F. Gustafsson, H-O Kreiss and J. Oliger, Time Dependent Problems in Difference Methods
Randy LeVeque, Finite Difference Methods for Ordinary and Partial Differential Equations, steady-state and time-dependent problems, SIAM 2007.
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評量方式
(僅供參考) |
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