"It is a very practical book, but he does take the time to prove convergence with rates at least for some linear PDE".
Jeff, from Stack Exchange
The book can be found on the SIAM books webpage here.
We'll read chapters 1, 2, 3, 5, 9, and 11 of the book.
The focus will be on solving PDE problems numerically.
Having all read the chapter already, during discussions, we'll be able to informally describe it and chat about what was done, what was confusing, and what people found interesting.
The book also includes a list of exercises, so everyone who attends, including me, will receive homework. The exercises are given at the bottom of the page.
Who will do what is to be determined depending on interest. The exercise list is also attached.
Last year, we all had one question to answer for each discussion, and then during the conversation, we presented our solution attempts to the group and explained what we tried. I'd insist on a low-pressure environment, so the aim here is to think about the problems, not necessarily to get the answer exactly and perfectly.
The book has associated with the following exercises, which can be found alongside some other resources on Randall LeVeque's webpage.