Title: Numerical Methods for Stochastic and Fractional PDEs
Location: Room 308, Zhilun Building (芝纶馆308会议室)
Time: 10:00-12:00am of 23rd November (Saturday，11月23日周六上午10-12点)
Speaker: George Em Karniadakis
The Charles Pitts Robinson and John Palmer Barstow Professor
Division of Applied Mathematics, Brown University
Abstract: Stochastic and Fractional modeling is an important approach in all branches of science and engineering in order to quantify uncertainties and memory effects in materials and complex fluids. In this lecture, a review of high-order accurate numerical methods will be presented, including the basic theory on polynomial chaos and its extension as well as a new unified approach in solving fractional PDEs using Petrov-Galerkin and Discontinuous Galerkin methods. Several numerical examples will be presented from computational mechanics and biology.
Short Bio.:
George Em Karniadakis is the Charles Pitts Robinson and John Palmer Barstow Professorof Applied Mathematics, Brown University. He is also Research Scientist at MIT (Mechanical Engineering) and the Director of the new Collaboratory on Mathematics for Mesoscopic Modelimg of Materials (CM4) – a Department of Energy Center at USA. He has published three books and more than 200 research papers on computational mathematics, stochastic modeling, uncertainty quantification, microfluidics, turbulence, biophysics, and parallel computing. He is fellow of SIAM, APS and ASME. He received the CFD award (2007) and the J. Tinsley Oden Medal (2013) by the US Association in Computational Mechanics. His h-index is 59 and he has been cited more than 17,000 times.