NumericalMethods for Partial Differential Equations
- Keith D. Paulsen
- 136 Cummings (Thayer School), 646-2695
- email: Keith.D.Paulsen@dartmouth.edu
- Secretary: Roxanne Campagna, 137 Cummings, 646-3860
- email: H.Roxanne.Campagna@Dartmouth.edu
- Regular Class: MWF 11:15-12:20, 202 Cummings
- X-hour: Tues Noon-12:50, 202 Cummings
- The Linux Lab: 218 Cummings
- TA: Matthew McGarry
- Week 1: on Friday we will meet in the Linux Lab.
- After Week 1, we will begin a regular weekly schedule
- Mon, Tues, Wed in class.
- Wed: Office hrs 12:30-2pm
- Fri: HW due and individual meetings: 11am-2pm, 136 Cummings; no formal class
- Linux System Administrator (Matt Dailey): 227 MacLean
- TSCC Support: 126 MacLean
- TSCC Public Help: Mon, Thurs 3:00-4:00, MacLean Atrium
- Thayer School Map
- Numerical Partial Differential Equations for Environmental Scientists and Engineers -- A First Practical Course, D.R. Lynch -- Springer, 2004.
- Weekly readings from the text will be assigned.
Course Web Page
Most Useful Supplementary Texts
The ENGS91 prerequisite:
A large body of work is available in Feldberg Library; see the online
reference list. There are a few especially relevant and simple volumes re PDE's:
- Burden R.L. and J.D. Faires, Numerical Analysis
Brooks Cole; 9th edition (August 9, 2010).
Some standard Linear Algebra works are valuable:
- Smith, Numerical Solution of Partial Differential Equations, Oxford Univ.
Press, 1st ed. (1965) [3rd ed, 1985 etc. not as good as 1st ed. for learners]. [Roughly equivalent to Morton and Mayers.]
- Morton, K.W. and D.F. Mayers. Numerical Solution of Partial Differential Equations. Cambridge University Press, 1994.[Roughly equivalent to Smith.]
- Segerlind, Applied Finite Element Analysis, Wiley, latest edition
- Lapidus and Pinder, Numerical Solution of Partial Differential Equations in
Science and Engineering, Wiley, latest edition.
The LAPACK Subroutine Library and Users Guide:
Trefethen, L.N. and D. Bau, III: Numerical Linear Algebra.
Demmel, J. W. , Applied Numerical Linear Algebra. SIAM, 1997.
- E. Anderson et al, LUG -- LAPACK Users' Guide. SIAM, 1999;
online LUG; LAPACK source code
The Numerical Recipes is all-around useful and practical:
Press, W.H., B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical
Recipes: The Art of Scientific Computing. Cambridge Univ. Press, 1986
There will be weekly graded problem sets, due in class on Friday afternoons beginning January 13.
Each student will be required to solve the problem, post solutions on the www,
and present it to Prof. Paulsen individually.
These sessions with Prof.Paulsen will be 20 minutes,
beginning with 10 minutes for presentation of your work; and the balance for discussion.
The first week (Homework 0) is a warmup/review exercise; it is due on Monday Jan 9. Do not ignore it!
The rest of the HW's will use the simple things covered.
homework will not be accepted. Each student may have two exceptions
to this rule; they must be claimed at least 2 days in advance.
Nearly all homework will require computer programming, graphics, and verbal
report generation backed up with www-posted results.
Schedule your time accordingly during heavy load
There will be a mid-term and a final exam. Homework will count 60%; Midterm 20%; Final 20%.
Computer Languages: Fortran will be the primary
compuational language. It supports the library LAPACK and related
software, which we will use. Matlab and TekPlot will be used as the primary graphical packages.
Homeworks will be submitted electronically as .html documents as described above.
All of these languages are supported within the Dartmouth/Thayer Linux system. Each student has a special directory
which is web-served; use it responsibly!
Honor Principle: applies to all homework and exams.
All work is to be attributed to its author(s). Being an author
indicates that the student has mastered the content of the homework and that he/she has
cited all individuals who have contributed. If you recieve assistance
other than routine help from faculty, students, or staff,
that should be cited. Copying computer
code or files without citation is plagiarism. The work you turn in
must be the product of its authors or cited sources.
Special obligations are connected to the web-accessible directories. We will use these for strictly professional,
course-related communications among the class. Abuses of this privilege will be considered Honor Code violations.
Dartmouth will ensure that every student has meaningful and physical access to all activities of the College.
Students requiring disability-related accommodations must register with the Student Accessibility
Once SAS has authorized accommodations, students must show the originally
signed SAS Services and Consent Form and/or a letter on SAS letterhead
to their professor.
As a first step, if you have questions about whether you qualify to receive accommodations,
contact the SAS office. All inquiries and discussions about accommodations will
Laptop Policy in Class Meetings
No laptops, phones, ipods, or other electronic devices in class, unless otherwise stated.