George Em Karniadakis
Professor of Applied Mathematicsalso: Research Scientist at MIT
"People who wish to analyze nature without using mathematics must settle for a reduced understanding", Richard Feynman
2013-Spring Course: [APMA2580]
A new report by the National Research Council points to the direction and philosophy of my group practiced over the last 20 years --
Thank you NRC!: Here's a small sample: "...But the value of the mathematical sciences to the overall science and engineering enterprise and to the nation would be heightened if the number of mathematical scientists who share the following
New exciting event: International Symposium on Fractional PDEs, June 3-5, 2013, Salve-Regina University, Newport, RI -- Be There!
George Karniadakis received his S.M. (1984) and Ph.D. (1987) from Massachusetts Institute of Technology. He was appointed Lecturer in the Department of Mechanical Engineering at MIT in 1987 and subsequently he joined the Center for Turbulence Research at Stanford / Nasa Ames. He joined Princeton University as Assistant Professor in the Department of Mechanical and Aerospace Engineering and as Associate Faculty in the Program of Applied and Computational Mathematics. He was a Visiting Professor at Caltech (1993) in the Aeronautics Department. He joined Brown University as Associate Professor of Applied Mathematics in the Center for Fluid Mechanics on January 1, 1994. He became a full professor on July 1, 1996. He has been a Visiting Professor and Senior Lecturer of Ocean/Mechanical Engineering at MIT since September 1, 2000. He was Visiting Professor at Peking University (Fall 2007). 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) by the US Association in Computational Mechanics. His h-index is 52 and he has been cited more than 13,000 times (see my google scholar citations). See complete CV here. You can also check out our Geneaology Tree (remember to zoom in!).
Karniadakis is the lead PI of an OSD/AFOSR MURI on Uncertainty Quantification and Director of a new DOE Center of Mathematics for Mesoscale Modeling of Materials (CM4).
His research interests include diverse topics in computational science both on algorithms and applications. A main current thrust is stochastic simulation (in the context of uncertainty quantification and beyond) and multiscale modeling of physical and biological systems (especially the brain). Can you believe that we solve problems in 100 dimensions - check this out!. Read here about the exciting field of "New Biology" described by the National Research Council (2009). Read here about our work on sickle cell anemia and also on modeling malaria from first principles, which was also featured on the web site of the National Public Radio. Read here about our work on the first large multiscale modeling of a brain aneurysm (finalist in the Gordon Bell Award, Supercomputing'11). Our new area is neurovascular coupling in the brain, i.e., bridging the gap between neuroscience and vascular mechanics. New experimental evidence suggests the intriguing possibility that by slightly modulating the brain blood flow one can control information processing -- read our paper here!
Particular aspects include:
Atomistic/Mesoscopic modeling - Dissipative Particle Dynamics: JCP (triple-decker); PRL (adaptive BCs)
Low Dimensional Modeling - Gappy Data - Data assimilation: JCP article
Spectral/hp Element and Discontinuous Galerkin methods : OUP Book Turbulent Drag Reduction: Science article DNS/LES of turbulence in complex geometries: JFM article Flow-structure interactions: PRL article Micro-transport and Dynamic self-assembly: Springer Book Flow and heat control applications: JFM article Parallel computing; Interactive/virtual reality computer graphics: CUP Book
The USACM Computational Fluid Dynamics Award, 2007
SIAM Fellow 2010
Associate Fellow of the American Institute of Aeronautics & Astronautics (AIAA) 2006
Fellow of the American Physical Society (APS) 2004
Fellow of the American Society of Mechanical Engineers (ASME) 2003
17th Robert Bruce Wallace Lecture Award, MIT, 2003 Rheinstein Junior Faculty Award, Princeton University, 1992
Professor George Karniadakis
Division of Applied Mathematics,
Providence RI 02912, USA.