ME 611 Advanced Numerical Methods

Credits: 3 (3-0-6)

Graduate Program, Department of Mechanical Engineering,
Faculty of Engineering, Thammasat University

1st semester 2004

 

 

 

Lecturers:

Dr. Wiroj  Limtrakarn

Room 413, Tel. 3144, E–mail :limwiroj@engr.tu.ac.th

 

 

Web page: www.engr.tu.ac.th/~limwiroj/teaching.html

Objectives:

1.To understand numerical methods in mechanical engineering.

2.To be able to implement numerical technique to solve problems correctly.

Course Description:

        Solution of equation; simultaneous linear algebraic equations; numerical differentiation and integration; least squares approximations; ordinary differential equations, partial differential equations, numerical tools

 

Tentative Schedule:

Weeks

Topics

Date

Reference no.

1

Introduction to numerical methods and its applications

8/6/04

1, 4

2

Introduction to Fortran programming.

15/6/04

4

3

Roots of equations

22/6/04

1 (chap# 2)

4

System of equations.

29/6/04

1 (chap#3)

5

Exam. #1 (Week#1–4)

6/7/04

 

6

Interpolation and extrapolation.

13/7/04

1 (chap#4)

7

Least square regression.

20/7/04

1 (chap#5)

8

Mid–Term (Week# 3–7)

28/7/04

 

9

Numerical integration and differentiation.

3/8/04

1 (chap#6)

10

Solving ordinary differential equation.

10/8/04

1 (chap#7)

11

Solving partial differential equation.

17/8/04

1 (chap#8)

12

Exam. #2 (Week# 9–11)

24/8/04

 

13

Fortran 90/95 and Numerical tools.

1/9/04

3, 4

14

Finite different method.

7/9/04

4

15

Finite element method.

14/9/04

4

16

Present comprehensive project.

5/10/04

 

 

References:

1.    “ÃÐàºÕºÇÔ¸ÕàªÔ§µÑÇàŢ㹧ҹÇÔÈÇ¡ÃÃÁ”, »ÃÒâÁ·Âì  à´ªÐÍÓä¾, ¾ÔÁ¾ì¤ÃÑ駷Õè 2, 2541, Êӹѡ¾ÔÁ¾ì¨ØÌÒŧ¡Ã³ìÁËÒÇÔ·ÂÒÅÑÂ

2.    “Numerical Methods for Engineers”, Chapra, S. C., Canale, R. P., Second Edition, 1990, McGraw–Hill Press.

3.     “Fortran 90/95 for Scientists and Engineers”, Chapman, S. J., 1998, McGraw–Hill Press.

4.    “àÍ¡ÊÒûÃСͺ¡ÒÃÊ͹»ÃШÓÇÔªÒ”, ÇÔâè¹ì ÅÔèÁµÃСÒÃ, 2547, Ëéͧ»®ÔºÑµÔ¡ÒôéÒ¹ÇÔÈÇ¡ÃÃÁ¡ÒäӹdzáÅÐà¤Ã×èͧ¡Å (CAMER Lab.), ÁËÒÇÔ·ÂÒÅѸÃÃÁÈÒʵÃì

 

Evaluations:

1.  Assignment & Attention in subject                                20

2.  Examinations #1, 2                                30

3.  Mid–Term examination                                20

4.  Comprehensive project                                30

 

Minimum of 80% attendance is required to pass this course.