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課程大綱及進度表

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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 FOR

PARTICAL 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

e-mail

[email protected]

電話

(06)2757575-65139

Office Hours

課程概述(中文、英文)

教學目標

(2)

授課課程大綱明細

1. Introduction to FEM for elliptic problems

2. 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

(3)

參考書目

1. Numerial soulution of partial differential equations by the finite element method. By Claes Johnson

2. 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%

課程網址

(4)

助教資訊

備註

參考文獻

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