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.
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