I am Professor of Mathematical Sciences at Clemson University. My research interests are in computational mathematics, applied analysis, and data science. More specifically, I work on all aspects solving nonlinear PDEs involved in fluid simulation (although I have been known to solve other kinds of PDEs from time to time), from model development, to analysis at the PDE level, to discretization and associated analysis, to the linear algebra needed to solve the massive block nonsymmetric linear systems that arise, to large scale implementation. 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.
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.
I am currently serving as Undergraduate Coordinator for the department.
O-102 Martin Hall
Clemson SC 29634
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.