I am a Professor of Mathematical and Statistical Sciences at Clemson University, and currently serving
as the Division Leader for Mathematics (essentially an associate chair for the math side of the School of Mathematical and Statistical Sciences). I have previously served
as the Associate Director of Undergraduate Studies for the School, and the Associate Director for Instruction.
My research interests are in computational mathematics and applied analysis. I work on all aspects solving nonlinear PDEs involved in fluid simulation, 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, and incorporating data into the simulations to improve accuracy. I have also gained recent interest in nonlinear solvers in general, in particular improving them with Anderson acceleration and developing the associated theory. Reduced order modeling is also a topic of particular interest for me in recent years. I have published over 100 research papers and 3 books, information for which can be found through the `publications' tab above. Despite a strong 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 have supervised research for 9 Ph.D. students, 13 M.S. students, and several undergraduates, details for which can be found through the former students tab above.
Here is a link to my math genealogy page. I also serve on the editorial boards for Journal of Numerical Mathematics , and International Journal of Numerical Analysis and Modeling.
Here is an article from Greenville News about a textbook I wrote with Timo Heister.
O-109 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 School of Mathematical and Statistical Sciences.