I am Professor of Mathematical Sciences at Clemson University. My research interests are in computational mathematics, specifically the numerical method development and analysis for solving nonlinear partial differential equations, typically applied to fluid flow problems. Despite the interest in applications, my work is still quite mathematical, and a theme to my research is `Mathematical Analysis as a guide to practical computing'. More specifically, I am still a mathematician who proves theorems, but for the purpose of solving practical problems faster and more accurately.
I hold a Ph.D. in Mathematics from Pitt, which I completed in 2006 (advised by Prof. William Layton). I am involved in several research projects, and am advising several Ph.D. students. I also serve on the editorial board for International Journal of Numerical Analysis and Modeling.
I am a strong supporter (and also a defender in recent years) of Clemson's tradition of having a Mathematical Sciences graduate program instead of the traditional Mathematics program. This difference is not just lip service, and most of the research performed in the department has a focus on problem solving and applications, as opposed to `math for its own sake'. Our graduates are trained to have a breadth of knowledge in Computational Mathematics, Operations Research, Statistics, Analysis, Stochastics, and Algebra. Since most M.S. and Ph.D. students in mathematics/mathematical sciences end up with a job that is different from their thesis research (which includes if they take a teaching job at a 4 year school), this breadth of knowledge allows them to be very flexible in industry and laboratories, and provides those who become teachers at 4 year colleges the ability to teach all undergraduate course offerings.
Those interested in mathematics genealogy can explore my mathematical lineage (at the Mathematics Genealogy Project).
Here is an article from Greenville News about a textbook I wrote with Timo Heister.
The views, opinions, and comments on these pages are those of Leo G. Rebholz.
These do not necessarily reflect the position of Clemson University, or the Clemson University Department of Mathematical Sciences.