課程大綱及進度表
開課系所
數學系開課學年
98開課學期
2課程名稱(中文)
數值偏微分方程(一)課程名稱(英文)
NUMERICAL ANALYSIS FORPARTICAL DIFFERENTIAL EQUATIONS(1)
課程碼 分班碼
先修科目或先備能力
高等微積分,微分方程,偏微分方 程學分數
3開課教師
侯世章電話
(06)2757575-65139Office Hours
課程概述(中文、英文)
教學目標
授課課程大綱明細
1. Introduction to FEM for elliptic problems2. Abstract formulation of the finite element method for elliptic problems
3. Some finite element spaces 4. Approximation theory for
FEM. Error estimates for elliptic problems
5. Minimization algorithms.
Iterative methods
6. FEM for parabolic problems
參考書目
1. Numerial soulution of partial differential equations by the finite element method. By Claes Johnson2. The Mathematical Theory of Finite Element Methods. By Susanne C. Brenner and L.
Ridgway Scott
課程要求
評量方式
期中考: 50%期末考: 50%