Leo Rebholz

Leo Rebholz is the Dean's Distinguished Professor of Mathematical Sciences and Division Lead for Mathematics at Clemson University's College of Science. He holds a PhD in Mathematics from the University of Pittsburgh (2006). His research focuses on computational and applied mathematics, particularly nonlinear solvers for PDEs and data assimilation techniques. He has published over 130 papers and 5 books, with recent work emphasizing acceleration methods for Navier-Stokes equations and fluid dynamics simulations. His contributions include Anderson acceleration algorithms, reduced-order modeling, and numerical stability analysis.

Rebholz has supervised 12 PhD students, 14 M.S. students, and 15 undergraduates. He serves on editorial boards for the Journal of Numerical Mathematics and International Journal of Numerical Analysis and Modeling. His research bridges theoretical mathematics and practical applications, combining rigorous proofs with computational efficiency. Notable areas of focus include turbulence modeling, vorticity-based formulations, and energy-preserving discretizations.

Recent work highlights include advancing Anderson acceleration for fluid problems, developing physically constrained reduced-order models, and analyzing data assimilation methods for geophysical flows. His studies emphasize long-time accuracy, stability, and computational efficiency in numerical simulations.