Numerical Analysis
Fall 1996
Jinn-Liang Liu
http://www.math.nctu.edu.tw/~jinnliu
Announcements
3. (10/14/96) This Wednesday's class
(10/16) will go as usual, i.e., we don't meet on this Friday (10/18).
2. (9/30/96) Class reschedule: We
will meet at 12:30pm on the Fridays of 10/18 and 12/20.
1. (8/7/96) This is an introductory
and interdisciplinay course on Numerical
Methods for Partial Differential Equations,
Software Development for
Scientific Computing,
and Engineering Applications in Numerical
Analysis.
No prerequisite courses are required for this class provided that you
are willing
to intensively and extensively expose yourself in the ever-changing
modern
scientific computing. No text books will be used. No exams will be
given.
However, you are expected to spend a great deal of time on computers.
Lecture Notes
Table
of Contents (.html) Chapter
1 (.html) Chapter
2 (.ps, 2.7 mB, 33 pages) Chapter
3 (.ps)
Chapter
4 (.ps) References
(.html) CNN
(.html)
For viewing ps files, go to the tool bar (2nd row of this window) Options/General
Preferences/Helpers/Help and launch a postscript application.
Lecture notes will be published here as the course progresses.
Course Projects
Projects are based on three fields of interest, namely, mathematics, computer,
and applications.
Project due dates will be announced on this page.
Project 1. Your home page on the
web.
Evalution of this project will be performed via a visit to your page
by the instructor.
Project 2. An interactive computer
program run on your home page for solving PDEs using
the numerical package AdaptC++. You are strongly encouraged
to form a 3- to 5-member
team to work on this project. Tutorials listed on my home page are
starting points which
I think would be helpful. Use the search engine Yahoo for more
information.
Evalution of this project will consist of
1. an oral
presention of the project per team,
2. a written
report of the project per team, and
3. a demonstration
of the project by each individual member.
Project 3. Independent of Project
2, you first search for a simplified model problem in
applied sciences. Discussions with me about the model problem are very
welcome.
The model problem is then solved by AdaptC++. A list of tested
examples can be
found in the package. Primal interests in this project are to study
the physical phenomenon
that is represented by the model problem and to discuss various numerical
techniques
(domain descretizations, approximations, numerical linear algebra,
error estimations, etc.) in
the numerical experiment.
Evaluation of this project will be based on a copy of your report written
in TeX or LaTeX.
Office Visits
You can come to my office during office hours or knock my door anytime
or send me email at jinnliu@math.nctu.edu.tw
for an appointment.