On Split Far Away from the Mediterranean
Speaker:Prof. Sheng Qin
Department of Mathematics
Center for Astrophysics, Space Physics and Engineering Research
Baylor University
Date & Time:10 Aug 2012 (Friday) 10:30 - 11:30
Venue:J213
Organized by:Department of Mathematics

Abstract

In fact, SPLITTING methods have been playing a tremendously important role in the numerical solution of linear and nonlinear partial differential equations due to their remarkable efficiency, simplicity and flexibility in applications as compared with their peers. This talk will be about the SPLIT application of singular reaction-diffusion equations which are used frequently in internal combustion computations and oil pipeline decay preventions.

To start, we will focus at 1D differential equation models and see what their characteristic features and importance are. Straightforward computational approaches will be introduced and illustrated. Then, we will shift the attention to the literature for 2D nonlinear PDE problems. Known SPLIT procedures will be explained and discussed when semi-adaptive SPLIT algorithms are in action. We will show that necessary conditions must be imposed for the numerical stability even when implicit finite difference schemes are utilized. In fact, the nonlinearity invalids the well-known equivalence theory acquired by Lax.

Biography

Prof. Qin is currently Professor of Department of Mathematics and Center for Astrophysics, Space Physics and Engineering Research in Baylor University. He is also the Editor-in-Chief of International Journal of Computer Mathematics. Prof. Qin obtained his Ph.D. in Mathematics at University of Cambridge. He received various awards, such as, Teaching Excellence Award from the Phi Kappa Chi Society from 2007 to 2009, and United States Air Force Summer Visiting Fellowship in the year 2005 to 2007 and 2009. His publications include, A uniformly convergent difference method for convection-diffusion singular perturbation problems in curved boundary regions, Solving linear partial differential equations by exponential splitting, Periodic solutions of higher order hyperbolic partial differential equations etc.