Leo G Rebholz

Position:
Assistant Professor of Mathematical Sciences

Education:
PhD, Applied Mathematics, University of Pittsburgh, 2006
MA, Mathematics, University of Pittsburgh, 2003
BS, Mathematics, Duquesne University, 2000
MS, Computational Mathematics, Duquesne University, 2002

Professional Interests:
Numerical partial differential equations, Navier-Stokes equations, turbulence, large eddy simulation, helicity, long-time accuracy in fluid flow simulations, dynamical system model reduction

Professional Activities:
Member of AMS, SIAM

Selected Publications:

• W. Layton, C. Manica, M. Neda, M. Olshanskii and L. Rebholz, On the accuracy of the rotation form in simulations of the Navier-Stokes equations, Journal of Computational Physics, Volume 228, Issue 9, 3433-3447, 2009.
• W. Layton, L. Rebholz, and M. Sussman, Energy and helicity dissipation rates of the NS-alpha and NS-alpha-deconvolution models, IMA Journal of Applied Mathematics, to appear, 2009.
• L. Rebholz, An Energy and Helicity conserving finite element scheme for the Navier-Stokes Equations, SIAM Journal on Numerical Analysis, Volume 45, Issue 4, pp. 1622-1638, 2007.

Related Web Sites:
Personal Web Page.
Department of Mathematical Sciences.