Computer Modelling and Simulation, January-May 2018

When Q Slot; Tuesdays 2PM to 4:30PM
Where HSB 266

Instructor

Sivaram Ambikasaran,
Office: HSB 241C
Office hours: By appointment.

Syllabus

The course will broadly cover three topics: Programming will form a significant part of the course.

Textbooks

Lecture notes will be posted as and when needed. The material covered will be predominantly from the following books.

Grading

Evaluation Homework Quiz Project
Points 65 10 25

Homework


There will be a total of \(13\) homework (each worth 5 points) due roughly weekly. Homework will be posted on this website and will be Monday before 5 PM. Late homework will not be accepted. The homework will involve fair amount of programming exercises. Students are strongly encouraged to typeset their solutions using LaTeX/TeX (\(10\)% bonus points for submitting in LaTeX/TeX).

To save trees and keep track of submission on time, students need to send their homework through email to with the subject reading 2018_CMS_HW_#_firstname, where # needs to be replaced with the homework number (between \(1\) and \(13\)) and firstname is to be replaced with your first name in lower case. Details on how to submit the computing part of the homework will be elaborated in the homework itself. No collaboration is allowed for homework.

The grader will expect you to express your ideas clearly, legibly, and completely, often requiring complete English sentences rather than merely just a long string of equations or unconnected mathematical expressions. This means you could lose points for poorly written proofs or answers. Clear exposition is a crucial ingredient of communication. Clarity of thought and presentation is more important in mathematics & sciences than any other field. The only way to master exposition is by repeated practicing.

\(\LaTeX\)

If you don't have \(\LaTeX\) on your system, try any of the following online ones.

Computational requirement

Each homework will have a good share of computational exercises. Students must be comfortable with programming and are expected to be comfortable with MATLAB and must have working knowledge in C++/Fortran. If not, they should be able to learn and immediately pick it up.

Quiz

There will be a short surprize (3-5 minutes) quiz once in a while and will account for \(10\%\) of your total grade.

Project

This could be a work arising out a published article or from material/discussions in class. The project is due April 30th. More details will be provided by the middle of February.

Calendar

Below is a very rough calendar, which will be updated as we progress through the course.
Week Tuesday Homework
Jan 16: Lecture 1 Floating point arithmetic, Numerical Linear Algebra, Finite Difference, Interpolation Homework 1: Jan 29
Jan 30: Lecture 2 Spectral Methods: Chapter 1, 2, 3 of Trefethen Homework 2: Feb 5
Feb 6: Lecture 3 Spectral Methods: Chapter 4, 5, 6 of Trefethen Homework 3: Feb 12
Feb 13: Lecture 4 Spectral Methods: Chapter 7, 8, 9, 10 of Trefethen Homework 4: Feb 19
Feb 20: Lecture 5 Spectral Methods: Chapter 11, 12, 13, 14 of Trefethen Homework 5: Feb 26
Feb 27: Lecture 6 Finite Element Methods: Chapter 1 of Pozrikidis Homework 6: Mar 5
Mar 6: Lecture 7 Finite Element Methods: Chapter 2 of Pozrikidis Homework 7: Mar 12
Mar 13: Lecture 8 Finite Element Methods: Chapter 3 of Pozrikidis Homework 8: Mar 19
Mar 20: Lecture 9 Finite Element Methods: Chapter 4 of Pozrikidis Homework 9: Mar 26
Mar 27: Lecture 10 Finite Element Methods: Chapter 5 of Pozrikidis Homework 10: Apr 2
Apr 3: Lecture 11 Finite Element Methods: Chapter 6 of Pozrikidis Homework 11: Apr 9
Apr 10: Lecture 12 Finite Element Methods: Chapter 7 of Pozrikidis Homework 12: Apr 16
Apr 17: Lecture 13 Finite Element Methods: Chapter 8 of Pozrikidis Homework 13: Apr 23
Apr 24: Lecture 14 Finite Volume Method Project: Apr 30