Differences between revisions 180 and 182 (spanning 2 versions)

## Updates

August 7, 2013
Class starts on August 27, 2012, from 2-3:15pm. We've also been assigned a room. We will be meeting in 1304 Siebel. See you then!

## Grading/Evaluation

If you will be taking the class for credit, there will be

• Weekly homework for (a little more than) the first half of the class (60% of your grade)
• A more ambitious final project, which may be inspired by your own research needs (40% of your grade)

If you're planning on auditing or just sitting in, you are more than welcome.

## Homework

• Homework 1 due: September 5, 2013 - out: August 27, 2013 (minor update to problem 1b on Sep 2, some notation fixes on Sep 3)

• Homework 2 due: September 17 19, 2013 - out: September 6, 2013

• Homework 3 due: October 3 4, 2013 - out: September 19, 2013

• Homework 4 due: October 17, 2013 - out: October 4, 2013

• Homework 5 due: October 31, 2013 - out: October 17, 2013

Homework is due at 11:59pm on the due date, i.e. at the end of the day.

## Material

### Books

These books cover some of our mathematical needs:

 Linear Integral Equations by Kress ebook (not free at UIUC) probably the book with the best overall coverage, but little on numerics and algorithms Integral equation methods in scattering theory by Colton and Kress a more advanced book, builds on Kress LIE Partial Differential Equations of Mathematical Physics and Integral Equations by Guenther and Lee Good for potential theory, little FA, no numerics, old-ish Partial Differential Equations: An Introduction by Colton UIUC library (not available) Integral Equations by Hackbusch comprehensive, but different emphasis than our class Foundations of Potential Theory by Kellogg ebook (public) a potential theory book, little FA, no numerics, old-ish Acoustic and Electromagnetic Equations: Integral Representations for Harmonic Problems by Nédélec Integral Equations by Tricomi ebook (public) slightly old-fashioned IE theory book, little numerics, no FA Linear Operator Theory in Engineering and Science by Naylor and Sell good for FA, uses int.eq. examples (recommended by Steven Dalton)

(FA=functional analysis)

There really aren't any books to cover our numerical and algorithmic needs.

So, unfortunately, there isn't one book that covers the entire class, or even a reasonable subset. It will occasionally be useful to refer to these books, but I would not recommend you go out and buy them just for this course. I will make sure they are available in the library for you to refer to.

#### UIUC ebooks

 The fast solution of boundary integral equations by Rjasanow Linear Integral Equations by Kanwal Linear and Nonlinear Integral Equations by Wazwaz

### Source articles

Because of the (no-)book situation (see above), I will post links to the research articles underlying the class here.

#### Some possible articles for a final project

I'll probably be adding more things to this list over time. Also note that this list is not intended to be exhaustive. If you've got an article that you like or want to read, let's talk.

Some of these require quite a bit of machinery in order to do meaningful implementation work. We'll have to do some negotiating on existing software you can use as a starting point.

### Virtual Machine Image

This information has moved to ComputeVirtualMachineImages.

Teaching/IntegralEquationsFall2013 (last edited 2014-01-23 02:26:25 by AndreasKloeckner)