I'm getting more technical books! It may be strange that I got fed up with shopping and fled the store today rather than buy an extra package of socks, but still have the wherewithal to pitch in to a mass book-order that my office is making to SIAM; but so it goes.

- Mechanics:
*Numerical simulation in fluid dynamics: a practical introduction.*-- Why? Because, despite the fact that I took a year sequence in fluid mechanics and have a fair amount of experience in parallel computation and numerical solution of certain classes of PDEs, I've only a foggy notion of a lot of computational fluid mechanics.*Augmented Lagrangian and operator splitting methods in nonlinear mechanics*-- I've borrowed this book before, actually. It has a lot of useful stuff in it, both from the numerical side and from the mechanics side.

- Iterative methods
*Iterative methods for solving linear and nonlinear equations*-- I want this book for the treatment of Newton-Krylov methods and analysis of inexact Newton methods, mostly. I have a bunch of papers that talk about results in this area, but no unified treatments. Newton-Krylov methods are particularly useful when taking analytical Jacobians becomes painful -- which happens a lot for interesting problems (including problems involving electrostatic-mechanical coupling that I find interesting).*Iterative methods for solving linear systems*-- All sorts of useful analysis that's hard to find elsewhere. I've checked out this book before, too.

- Structured methods
*Spectral methods in MATLAB*-- There are three main methods for discretization of partial differential equations: finite elements, finite differences, and spectral elements. Well, okay, there are finite volume methods, too. Still, I know a lot more about the first two than about the third. Considering how much I prefer to get compact models that fit onto a single machine, it sould behoove me to learn more about spectral methods, I think. Besides, Trefethen is an outstanding writer.*Fast reliable algorithms for matrices with structure*-- This deals more with linear systems than with eigensystems (where I've done work on similar methods). Still, I don't have*any*books on this topic, and the methods are still sufficiently poorly unified that the talks tend to either be high-level or incomprehensible, and the papers all use different notations. Having one book reference on the topic, at least, will be a nice change.

- Other
*The SIAM 100-digit challenge: a study in high-accuracy numerical computing*-- In 2002, Nick Trefethen posted a contest in SIAM News: find the first hundred digits of the answers to 10 numerical problems. This book describes how the winning team did it.

Time to stop gloating and go get food.