UTA Department of Mathematics

Applied Mathematics Seminar

Date/Time/Room: Friday (02/27/2004) at 2:00pm in 304 Pickard Hall

Speaker: Qin Sheng, Department of Mathematics, Baylor University/University of Dayton

"Cross-Symmetry to Spurious Analysis--
An application of dynamic approximations on time scales in adaptive computations"

Abstract: The time scales theory and methods (TSTM) have become increasingly important in scientific and engineering computations. The dynamic derivatives and equations developed in TSTM can be used to approximate solutions of nonlinear differential equations with great flexibility in adaptive grid designs and are significantly convenient in analysis. In this talk, we tend to introduce the TSTM basics, and based on them we wish to explore certain interesting computational phenomena associate with adaptive methods, such as cross-symmetry and spuriosity, and then to study further applications. Novel computational methods taking advantages of time scales considerations will be introduced. Numerical experiments will be used to demonstrate the facts and our concerns.