报告人：Professor Qin Tim Sheng(盛秦教授)Department of Mathematics Baylor University Waco, Texas,USA
题目：Adaptive Splitting Methods for Kawarada Equations in Combustion Processess
In this talk, we will take a quick look at somemost frequently used, yet powerful, splitting strategies. Then an overview ofsome interesting issues involving the numerical solution of nonlinear Kawaradaproblems will be given. The singular reaction-diffusion partial differential equationsdiscussed are for modeling thermal combustion processes, in particular whensolid fuels are used. Adaptive splitting finiteDifferenceapproximations of the underlying equations will be introduced. In addition tonumerical analysis on the monotonicity, convergence and stability of thesolution, we will talk about ideas of one of the latest exponential evolvinggrid strategy inspired by moving grid methods. The highly efficientcomputational procedures can be extended for solving similarsingularproblems raised from biophysics, oil pipeline decays orlaser-materialsinteractions. Graduate students are encouraged toAttendthis talk.
盛秦教授简介：Dr.Sheng received his BS and MS in Mathematics fromNanjingUniversityin 1982, 1985, respectively. Then he acquired his Ph.D. fromUniversityofCambridgeunder the supervision of Professor Arieh Iserles. After his postdoctoralresearch with Professor Frank Smith, FRS, in University College London, hejoined National University of Singapore in 1990. Since then, Dr.Sheng was onfaculty of several major universities till his joiningBaylorUniversity, which is one of knownresearch institutions and the second largest private university in theUnited States. Dr.Sheng has been interested in splitting and adaptive numerical methodsforsolving linear and nonlinear partial differential equations. He is also knownfor the Sheng-Suzuki theorem in numerical analysis. He has published over 95refereed journal articles as well as 6 joint research monographs. He has beenan Editor-in-Chief of the SCI journal, International Journal of ComputerMathematics, published by Taylor and Francis since 2010. He gives invitedpresentations, including keynote lectures, in international conferences everyyear. Dr. Sheng's projects have been supported by severalU.S.researchagencies. He currently has 3 doctoral students and 1 postdoctoral researchfellow.