| 报告题目： | Numerical Methods for Stochastic and Fractional PDEs |
| 报 告 人： | George Em Karniadakis |
| The Charles Pitts Robinson and John Palmer Barstow Professor | |
| 报告时间： | 11月22日 (星期五) 14:00-15:00 |
| 报告地点： | 九龙湖数学系第一报告厅 |
| 相关介绍： | 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. George Em Karniadakis is the Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics at Brown University. He is also a Research Scientist at MIT (Mechanical Engineering) and the Director of the new Collaboratory on Mathematics for Mesoscopic Modeling of Materials (CM4) � a Department of Energy Center in USA. He is a Fellow of the Society for Industrial and Applied Mathematics (SIAM, 2010-), Fellow of the American Physical Society (APS, 2004-), Fellow of the American Society of Mechanical Engineers (ASME, 2003-) and Associate Fellow of the American Institute of Aeronautics and Astronautics (AIAA, 2006-). He received the CFD award (2007) and the J. Tinsley Oden Medal (2013) by the US Association in Computational Mechanics. His research interests include diverse topics in computational science both on algorithms and applications. A main current thrust is stochastic simulation, fractional PDEs and multi-scale modeling of physical and biological systems. He has published four books and more than 200 research papers on computational mathematics, stochastic modeling, uncertainty quantification, microfluidics, turbulence, biophysics, and parallel computing. His H-index is 60 and his work has been cited more than 17,500 times. |
