MS 554: Principles of
Numerical Computing
Fall, 2003
Virginia Institute of Marine Science / School of Marine Science
Tuesday, Thursday; 10:30—11:50 (tentative)
Newport Hall Conference Room
Course Syllabus
Instructors:
|
Courtney K. Harris |
Harry Wang |
|
Franklin Hall: Room 212 |
Franklin Hall: Room 206 |
|
804-684-7194 |
804-684-7215 |
|
ckharris@vims.edu |
wang@vims.edu |
|
Office Hours: Tuesdays 10AM-Noon, or by appt. |
|
Primary Texts:
Gerald and Wheatley. Applied Numerical Analysis, 6th Edition. Addison-Wesley. 1999. On reserve in VIMS library.
Forsythe, Malcolm, and Molar. Computer Methods for Mathematical Computations. Prentice-Hall Series in Automatic Computation. Out of print: on reserve in VIMS library.
Supplementary Texts:
Gerald. Applied Numerical Analysis, 1st Edition. Addison-Wesley, 1970. On reserve in VIMS Library.
Golub and Ortega. Scientific Computing and Numerical Methods. 1992. Academic Press. On reserve in VIMS Library.
Luenberger. Linear and Nonlinear Programming, 2nd Edition. Addison-Wesley. 1984. CKH will loan out her copy as requested.
Other Resources.
· Hornberger, G. and P. Wiberg’s 2001 Notes from U.Va.’s course: EVHY 747 Numerical Methods in Hydrology. On reserve in VIMS library.
· Matlab web site at Mathworks: www.mathworks.com.
· Matlab manuals on reserve in student lab.
· Netlib repository: www.netlib.org, http://netlib.bell-labs.com/netlib/master/readme.html
· Class website including CKH’s notes: www.vims.edu/~ckharris/MS554/ms554.html
Class Assignments:
· 5-6 homework assignments; accounting for total of 75% of grade. Assignments will be given out during class. Students will have one week to hand in paper copies of their assignments. Late assignments will be marked down unless an extension is requested and granted.
· Term project / Final exam; Includes presentation of proposal, presentation of final project, and writeup of results. Accounts for 25% of grade.
Outline of Lectures:
|
Approx. Dates |
Material |
Lecturer |
|
Aug 30- Sept 3 |
Introduction to Matlab, FORTRAN, and Floating Point Computations. |
CKH |
|
Sept. 6-13 |
Numerical Calculations and Interpolation |
CKH |
|
Sept 17-20 |
Solving non-linear equations. |
CKH |
|
Sept. 24-Oct 1 |
Solving ordinary differential equations (ODEs) |
HW |
|
Oct 4-8 |
Solving sets of linear equations |
CKH |
|
Oct 11 |
Project Proposals |
students |
|
Oct. 18-22 |
Solving boundary value problems |
CKH |
|
Oct 25- Nov 12* |
Partial Differential Equations (PDEs) |
HW |
|
Nov 15-19 |
Advection / diffusion |
HW |
|
Nov 22-26 |
Time-series analysis |
HW |
|
Nov 29 |
Special topics: Complex numbers |
CKH |
|
Dec 3 |
Special topics: Spatial analysis |
CKH |
|
Dec 6 |
Project
Presentations |
students |
|
Around Dec 13 |
Project Papers Due
(day of final exam) |
|
· The November 4’s class will be re-scheduled due to the instructors’ participation in the ECM8 Conference.