Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics
Brown University; also Research Scientist at MIT
George_Karniadakis at Brown.edu
"People who wish to analyze nature without using mathematics must settle for a reduced understanding", Richard Feynman
|An Introduction to Fractional Calculus, presented by Francesco Mainardi|
2015-Spring Course: [APMA2560]
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 & 2013). 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 h-index is 67 and he has been cited about 23,000 times (see my google scholar citations). See complete CV here. You can also check out our Geneaology Tree (remember to zoom in!).
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), fractional PDEs, 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! Recent feature article of our work ("Blood in Motion") in American Scientist.
Particular aspects include:
Fractional PDEs: A breakthrough paper!
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
SIAM's 2015 Ralph E Kleinman Award
2015 MCS Wierdrehielm AwardThe USACM J Tinsley Oden Medal, 2013
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.
MAY 22 - 31, 2013
JUNE 3 - 5, 2013
SALVE REGINA UNIVERSITY