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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Qin Sheng, Department of Mathematics, Center for Astrophysics, Space Physics and Engineering Research (CASPER), Baylor University, Texas, USA

Inviter: 唐贻发
Title:
An Exploration of Nonuniform Crank-Nicolson Schemes for Multiphysical Applications with Stochastic Inferences
Time & Venue:
2017.5.5 10:00-11:00 Z301
Abstract:

This talk investigates a nonuniform and nonstandard Crank-Nicolson method for solving the degenerate Kawarada quenching-combustion equation with a vibrant stochastic source. Arbitrary grids are introduced in both space and time via adaptive principals to accommodate the uncertainty and singularities involved. It is found that, under proper constraints on mesh step sizes, the positivity, monotonicity of the solution, and numerical stability of the scheme developed are well preserved. We further extend the discussion to a more sophisticated multidimensional application. Questions and concerns will be proposed. Fun numerical experiments will be given to illustrate our exploration and conclusions.


About Dr. Qin Sheng:
Dr. Sheng received his BS and MS in Mathematics from Nanjing University in 1982, 1985, respectively. Then he acquired his Ph.D. from DAMTP, University of Cambridge under the supervision of Professor Arieh Iserles. After his postdoctoral research with Professor Frank T. Smith, FRS, in University College London, he joined National University of Singapore in 1990. Since then, Dr. Sheng was on faculty of several major universities till his joining Baylor University, which is one of known research institutions and the second biggest private university in the United States.
Dr. Sheng has been interested in splitting and adaptive numerical methods for solving linear and nonlinear partial differential equations. He is also known for the Sheng-Suzuki theorem in numerical analysis. He has published over 100 refereed articles as well as several joint research monographs. He has been an Editor-in-Chief of an SCI journal, International Journal of Computer Mathematics, published by Taylor and Francis since 2010. He gives invited presentations, including keynote lectures, in international conferences every year. Dr. Sheng's projects have been supported by several U.S. research agencies. He currently advises 3 doctoral students and 1 postdoctoral research fellow.

 

 

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