Syllabus for Numerical Methods II
Spring 2003
Course Information
- Instructor:
- Eric Olson
- email:
- ejolson at unr.edu
- Office:
- TR 2:30pm Ansari Business Building
AB614 and by appointment.
- Homepage:
- http://fractal.math.unr.edu/~ejolson/484/
- Texts:
- Donald Greenspan and Vincenzo Casulli, Numerical Analysis for
Applied Mathematics, Science, and Engineering, 1988, Addison-Wesley
Publishing Company.
- Arieh Iserles, A First Course in the Numerical
Analysis of Differential Equations, 1996,
Cambridge University Press.
- Section:
- Math (also CS) 484/684 Numerical Methods II
- TR 11:00-12:15pm OSN 202
Grading
2 Quizzes 10 points each
5 Homework Assignments 10 points each
5 Programming Assignments 10 points each
1 Midterm Exam 50 points
1 Final Exam 80 points
--------------------------------------------------
250 points total
Calendar
# Date Greenspan Iserles Topic
---------------------------------------------------------------------
1 Jan 21 6.1 Classification of PDEs
2 Jan 23 7.l Finite Differences
3 Jan 28 6.2-6.3 7.2 The Poisson Equation
4 Jan 30 6.4 7.2 Non-rectangular Domains
5 Feb 4 7.3 Higher Order Methods
6 Feb 6 6.5-6.6 General Elliptic PDEs and Upwinding
7 Feb 11 10.1 Linear One Step Methods
8 Feb 13 10.1 Gershgorin and Diagonal Dominance
QUIZ I
9 Feb 18 10.2 Classical Iterative Methods
10 Feb 20 10.2 Convergence of Iterative Methods
11 Feb 25 10.3 Optimal w for SOR Convergence
12 Feb 27 11.1 Multigrid Techniques
13 Mar 4 11.2-11.3 The V-cycle and Full Multigrid
14 Mar 6 11.4 Poisson by Multigrid
15 Mar 11 REVIEW
16 Mar 13 MIDTERM EXAM
Spring Break
17 Mar 25 12.1 Fast Fourier Transform
18 Mar 27
19 Apr 1 7.1 13.1 Parabolic Equations
20 Apr 3
21 Apr 8
22 Apr 10
23 Apr 15
24 Apr 17
QUIZ II
25 Apr 22 8.1 14.1 Hyperbolic Equations
26 Apr 24
27 Apr 29
28 May 1
29 May 6 REVIEW
Computing Facilities
The FPK Pascal compiler and the GNU/Cygwin C and FORTRAN compilers
are suitable for use in this course.
These tools may be freely
downloaded from the internet
for use on any suitable personal computer.
Maple may also be used and is available
in the Mathematics
Center Ansari Business Bldg AB610.
Programming Assignments
Your work should be presented in the form of a typed report
using clear and properly punctuated English.
Where appropriate include full program listings and output.
If you choose to work in a group of two, please turn in
independently prepared reports.
Final Exam
The final exam will be held on
May 8 from 7:30am to 9:30am
in OSN 202.
Equal Opportunity Statement
The Mathematics Department is committed to equal opportunity in
education for all students, including those with documented physical
disabilities or documented learning disabilities. University policy
states that it is the responsibility of students with documented
disabilities to contact instructors during the first week of each
semester to discuss appropriate accommodations to ensure equity in
grading, classroom experiences and outside assignments.
Academic Conduct
Bring your student identification to all exams. Work independently on
all exams and quizzes. Behaviors inappropriate to test taking may disturb other
students and will be considered cheating. Don't talk or pass notes with
other students during an exam. Don't read notes or books while taking
exams given in the classroom.
You may work on the programming assignments in groups of two if
desired.
Homework may be discussed freely.
If you are unclear as to what constitutes cheating, please consult
with me.
Last updated: Tue Jan 28 07:27:15 PST 2003