Research...

As of early 2007, I have finished my doctoral studies and will soon be joining the Thermal/Fluid Computational Engineering Sciences Department ("Organization 1541") at Sandia National Laboratory. I'm excited!

I was a DOE CSGF fellow. The CSGF site contains a link to an old description of my research; I have since spent more time on trying to figure out how to fix various longstanding numerical issues of the methods involved (alternative discretizations, stability analysis of the nonlinear equations, new implicit (splitting) methods, etc.)

Publications

1. E. Newren, A. Fogelson, R. Guy, and M. Kirby, A Comparison of Implicit Solvers for the Immersed Boundary Equations, to appear in Computer Methods in Applied Mechanics and Engineering, (2008)
2. E. Newren, Enhancing the Immersed Boundary Method: Stability, Volume Conservation, and Implicit Solvers, PhD Dissertation, University of Utah, 2007.
3. E. Newren, A. Fogelson, R. Guy, and M. Kirby, Unconditionally stable discretizations of the Immersed Boundary equations, Journal of Computational Physics, Vol. 222, 702-719 (2007).
4. E. Newren, Multilevel distributed memory solutions of poisson's equation, Master's thesis, University of Utah, 1998.

Older Stuff

Some older write-ups, posters and presentations might be included here. There's lots more, but I'm too lazy to gather them up. Here's an old poster that I presented (or a slightly newer version of the same). You can also look at the presentation I gave as part of my Oral Qualifying Examination, or the much more detailed writeup that I had to complete before that exam. There's also a presentation that I gave to 1st and 2nd year graduate students in the math department.